diff --git "a/data/dm_maths/full_data_1/1645_11255.jsonl" "b/data/dm_maths/full_data_1/1645_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1645_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Which is the smallest value? (a) -5 (b) -103 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -j**4\/12 + 2*j**3\/3 + 3*j**2. Let h be v(-2). What is the remainder when 129 is divided by 66*2\/h*2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 9:52 PM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**2 + 3*m**2 + m**2 + (-m - 3*m + 3*m)*(1 - 1 + 2*m) + m**2 - 2*m**2 + 0*m**2 + (-3*m + 3*m - m**2)*(-11 + 8 - 8).\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**5*z - 5*g**3*o**3*z + 10*g**3*z - 2*g**2*o**3*z + 2*g**2*z + 123*o**2 wrt g?\nAnswer: 120*g**2*z - 30*o**3*z + 60*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -15, 0, 2\/15, -1\/58?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 + -4 - 1)\/(-4)*-4. Solve -3*r - z = -11, 4*r - 4*z = r + f for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 8) to base 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -5*w - 2 + 2 + 3*w**2 - 2. Suppose -8 = -2*x, -2*x = -5*f - x - 24. What is the remainder when s(f) is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10497 - 11098. Which is greater: s or -575?\nAnswer: -575","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68854.2 rounded to the nearest ten?\nAnswer: -68850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/171 and 13\/209.\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 390\/(-520)*-2*(-3)\/6\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 916190?\nAnswer: 2, 5, 11, 8329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 13, 8698, 2, 5.\nAnswer: -4, 2, 5, 13, 8698","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + -1 + -2 + 11. Let i(x) = -2*x**2 - x - 6. Let u(d) = 3 + 5*d**2 + 5 + 3*d + 0*d + 9. Calculate q*i(n) + 4*u(n).\nAnswer: -2*n**2 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 5*k + 7*k + 16*k**2 + 20*k**2 - 4*k.\nAnswer: 36*k**2 + 8*k - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2207*i**3 + 175*i*q + 4519032*q wrt i.\nAnswer: 6621*i**2 + 175*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9640 and 205867020?\nAnswer: 4820","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m + 38. Let h be l(-19). Suppose h*q - 7*q = 0. Which is the nearest to q? (a) 1 (b) -1\/4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1068, -2148, -3250, -4380, -5544?\nAnswer: -6748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200\/86 + 1442\/(-103)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 2:50 PM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + (-8 - (3 + 5)). What is the hundreds digit of (-12888)\/h + (-198)\/(-165)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 26*w - 36. Calculate the remainder when 210 is divided by y(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -15 + -30 + 43?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p + 15. Let h(q) = 2*q - 12. Let w(x) = -3*h(x) - 2*z(x). Determine w(-5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -1\/4 (c) -0.084 (d) 0 (e) -0.09 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 11*b = l - 4242, -3*b = -5*l + 21234. Does 40 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s. Let y(b) = 1253873*b. Determine y(o(w)).\nAnswer: -5015492*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -662302 divided by 11419\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/22 and -67\/356?\nAnswer: 3916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -14 + -1 + (-1170)\/(-80). What is the third biggest value in 5, -0.28, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 1666 = -5*f - i, 0 = 3*f - 2*i - 1010. Let n = -330 + f. Determine z so that 4\/9*z**2 + 2\/9*z**5 - 4\/9*z**n + 0 - 2\/9*z + 0*z**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s - 5. Let g be h(5). Find the third derivative of 8*u**2 + 0*u**2 - 2*u**2 + u**g wrt u.\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 63477 - -331?\nAnswer: 64030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccccccc. What is prob of picking 3 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x + 11. What is the tens digit of i(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22821 less than -0.1?\nAnswer: -22821.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m**3 + 23*m**3 - 12*m**3 - 4*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16046 + 8961. What is z rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-600)\/(-180)*3\/135. What is the third biggest value in -0.2, g, 0, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5*i = 7, i = 2*f - 3*i - 16. Let l(y) = -y + 6. Let j = 7 + -1. Let t be l(j). Solve d + f + 2 = t for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a - a + 3*a)*(-7 + 0 + 2)*(-4 - 3 + 6) to the form x + z*a and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 + 22. Suppose 5*r = w - 8, f*r - 4 = -4*w + 28. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 490*g**3 + 16*g**2 + 8*g - 172. Let c(d) = 163*d**3 + 6*d**2 + 3*d - 58. Let x(r) = 8*c(r) - 3*l(r). What is the first derivative of x(a) wrt a?\nAnswer: -498*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 28*i**2 - 3. Let r be b(1). Solve 0 = -12*o + 11 + r for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -230113433021 + -14?\nAnswer: -230113433040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 3598949?\nAnswer: -17994745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - h - 3. Sort -5, h, 2 in descending order.\nAnswer: 2, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 324135 and 105?\nAnswer: 324135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9325 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1113*y + 38*y + 336*y + 257*y.\nAnswer: 1744*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 22. Let w be f(9). Let m = w - 17. Which is the second biggest value? (a) m (b) -2 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-9))\/(20\/(-150)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3323 (base 5) to base 10.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23001?\nAnswer: 3, 11, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.789061 to 2 decimal places.\nAnswer: -1.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*n + 10*n + 28 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2837.\nAnswer: 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -15) + (-3 - -10 - 14).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 159 and 1802.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001051 rounded to 5 dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*w + s + 8, s + 16 = 4*w. Let g(d) = 3*d**3 + 11*d**2 + 2*d - 7. Let r be g(-3). Solve -r*m + w = 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 4*h**3\/5 + 28*h**2 + 824*h\/5 + 224 = 0?\nAnswer: -28, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 1:17 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - -4) + -29 + 23 + -8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -4, 1\/29 in ascending order.\nAnswer: -4, 1\/29, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (34 - (39 - 16)) + 3*-13\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40.3 + 38. Let a = t - -2.29999824. Round a to 7 decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -18*c**2 + 176*c - 3*c**3 - 1 + 4*c**3 + 18*c**2 - 183*c. Determine x(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01*-40.925168.\nAnswer: 0.40925168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15820?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*6\/(-4)*1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -12*b + 9*b, 0 = 4*d + 2*b for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3 + 5 = 0, 2*b = 2*t + 14. Let f be t\/(27\/6) + 77. Calculate the greatest common factor of 30 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r. Let u be k(-3). Let b(j) be the third derivative of j**5\/12 - j**4\/12 + j**3\/3 - j**2. Is b(u) 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 37, 21, -13, -71, -159, -283, -449?\nAnswer: -663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03 + -86.\nAnswer: -86.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of x**7\/140 + x**4\/4 + 17*x**3\/6 + 14*x**2. Let o(m) be the first derivative of b(m). Differentiate o(f) wrt f.\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 6 = -0*h. Let u(z) = 3*z**2 + 2*z + 2. Does 12 divide u(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*u + 101 = -79, -5*r + 900 = -3*u. Suppose 20*k - 14*k = r. Let y = 14 + 105. Calculate the remainder when y is divided by k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -50, -94, -138, -182, -226, -270?\n\"Answer: -44*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0069665482 to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4\/13 + 284*y**3\/13 - 1752*y**2\/13 + 272*y - 2368\/13.\nAnswer: 2*(y - 2)**3*(y + 148)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*j**3 + 599*j**3 - 1564*j**3.\nAnswer: -976*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 236257434497096 + -236257437390566.95899954. Let l = 2893471 + z. Let r = -0.041 + l. What is r rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*n**3 + 6*n**3 - 45*n + 44*n.\nAnswer: -19*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5015051.\nAnswer: 17, 157, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**2\/7 - 3984994*j\/7 - 47820216\/7 = 0. Calculate j.\nAnswer: -12, 1992509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -33011104 (base 5) to base 2\nAnswer: -1000100110110101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14616, -15029, -15416, -15777, -16112, -16421?\n\"Answer: 13*g**2 - 452*g - 14177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4*p**2 - p**3 + 8*p**2 + 5*p + 8*p**2 - 3 - 31*p**2 + 7*p**2. Give a(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 4*t. Let w(m) = -6*m**2 + 2*m - 2. Let r(f) = -19*f**2 + 7*f - 7. Let n(l) = -19*l + 2. Let i be n(-1). Let h(b) = i*w(b) - 6*r(b). What is d(h(a))?\nAnswer: -48*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 353?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j**3 - 2*j**3 + j**2 + 4*j**2 + 4 + 4*j**2 as c + h*j + v*j**2 + g*j**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1818\/5050*20\/3)\/((-2378)\/205).\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -53, -106, -159, -212, -265?\n\"Answer: -53*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82057, -164119, -246183, -328249, -410317, -492387?\nAnswer: -574459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(w - w + w) + 1 - 1 + w + 6*w - w - 3*w + 43 + 2*w + 6*w - 10*w.\nAnswer: -w + 43","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -3*g - 17, i - 3 = 241*g - 240*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 2*p**2 + 4*p - 6. Let g be i(3). Let f(o) = -511*o + 26. What is the units digit of f(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-2)*(3 - 1). Let y = -22 - -26. What is the second smallest value in -0.07, y, g?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 7*x**2 - 6*x + 2. Let i be u(5). Suppose g - 4*n = 21, -4*n - i = -2*g - 0*n. Let c = -8 - -7. Sort c, g, -4 in decreasing order.\nAnswer: g, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i = -16*i - 44. Let b(y) = -i + 4 + 5*y + 3. Let q(l) be the third derivative of l**4\/8 - l**3\/3 - 2*l**2. Calculate 4*b(n) - 7*q(n).\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 239583853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37418201.\nAnswer: 19, 571, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -5.9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 7*j + 5*j)*(-7*j**4 + 0*j**3 + 0*j**3).\nAnswer: -77*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*k - 38*k - 28*k - 2 - 104*k - 159*k + 22*k.\nAnswer: -259*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 234734 and 188.\nAnswer: 22064996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -40 - 23005644?\nAnswer: -23006014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 13*n - 210. Calculate x(17).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 540 and 9340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 4*f - 7 = -y, -4*y - 32 = -4*f. Let t(a) = -3*a**2 - a. Let s be t(-1). What is the units digit of f*(s - 0 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57\/(3\/(-1)) + ((-282)\/2397 - 8\/(-68))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 27*h**2 + 3*h. Let w(c) = -2*c**2 + 2*c. Let a(m) = 8*m**2 - 9*m. Let j(l) = -2*a(l) - 9*w(l). Give y(j(v)).\nAnswer: 108*v**4 + 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 m when two letters picked without replacement from {m: 2, l: 1, e: 1, v: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (436\/2398)\/((-4)\/(-22))*-19\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 884 and 947024?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 237 (base 15) to base 11.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/((-144)\/760))\/((-720)\/2160).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 12 - 6 - (15 + -6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1022, 1933, 2846, 3761, 4678, 5597?\nAnswer: 6518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 divided by 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1600, -1512, -1412, -1294, -1152, -980, -772, -522?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 219*p**4 + 28*p**3 + 6*p**2 + 98200*p.\nAnswer: 2628*p**2 + 168*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2524*u**3 + 986 wrt u.\nAnswer: -7572*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6096 and 164352?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9246432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 162*p*u + 40454012*p - 76364*u wrt u?\nAnswer: 162*p - 76364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 106866 - 289\/119*7 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*p + 3*p - p - 3*p.\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 420.5592 litres?\nAnswer: 420559.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -215934 and -3.82?\nAnswer: 824867.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of y**2\/2 + 6*y + 6. What is h(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 11*c - 1. Let x be q(1). Suppose -3*m + 2 = -x. Solve -18 = -m*y + 2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 987 - 2485. Let j = 3077\/2 + z. Let w = -6\/137 - -257\/2740. Calculate the common denominator of w and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l + 2*l + 14 - 12)*(64*l**3 + 145*l**3 + 150*l**3) to the form f*l**2 + p + g*l + q*l**4 + k*l**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(171) + 2*sqrt(171)*5 + sqrt(171) + sqrt(171) - sqrt(171) - sqrt(171)))\/(sqrt(9)*-2*-6 + 4*2*sqrt(9)).\nAnswer: 11*sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4468\/5585)\/(12\/5 + 4\/(-2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 794921 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 134 from -6.\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -63191867042 less than -185?\nAnswer: 63191866857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/2)\/(-9) - (-14)\/(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1417 + 1677 = 238*x for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 14. Suppose 4*a - 5*d - 33 = -0*a, c = d + 5. Sort 0, a, 1.\nAnswer: 0, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ha when two letters picked without replacement from hhha.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/2742 and 32\/735.\nAnswer: 671790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5*r - 1 = -0*r, 4*r = -2*z + 4. Which is the nearest to -0.1? (a) -11 (b) 3\/7 (c) 0.5 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17158 + 42877. Suppose 20000 = f - b, 17*f + o = 20*f + 4*b. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1860*v + 1856*v = -12. Solve -15 = -5*f - 2*x, -f = -0*x + 4*x - v for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -3*i + 3900. Let s be (-2)\/(-9) + i\/(-135). Solve s - 16 = 2*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tuqzbquqzuzbp. Give prob of sequence zqz.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -696*-18.853.\nAnswer: 13121.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4 - 0. Let x(q) = 2*q - q**2 - 2 + m*q**2 - q + 0*q**2. Let h be x(3). What is the highest common divisor of 7 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**2 - 56*n + 329. Let j be p(-33). Are -12\/587 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(7\/4)\/t)\/t**(2\/27)*t\/((t**(-2)\/t)\/t*t)*t*t\/(t\/(t*t**4*t)) assuming t is positive.\nAnswer: t**(1261\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of s**4 + s**2\/2 - s - 3. Let q be a(1). Calculate the greatest common factor of q and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -36927291*h*p - 8390358*p wrt h?\nAnswer: -36927291*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 + -18. Suppose 0 = -2*m + s + 3. Suppose 0 = 5*p + 4*n - 23, -4*n + m*n = 10. Solve 6*r + 9 = p*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10\/7, -153, -2.\nAnswer: -153, -2, -10\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3\/7 + 2220*r**2\/7 - 4428*r\/7.\nAnswer: -3*r*(r - 738)*(r - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + -5*-2*sqrt(121) - 2*sqrt(121)*-2)\/(sqrt(1100)*-2 + sqrt(176)*3).\nAnswer: -15*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 8 = -14*f. Suppose -3*x - 5*s + 286 = 0, -5*x + 415 = -f*s - 2*s. List the prime factors of x.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2086 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, 2\/2463, 0.3, -0.03, -3\/2?\nAnswer: 2\/2463","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hrgiomi. What is prob of picking 1 g and 1 r?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5220 divided by -1305.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**3 + 4*n**2 + 10*n - 4. Let b(h) = -h**3 - h**2 - h + 1. Let q(f) = 6*b(f) + r(f). Let t = -5 + 2. Is q(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*409\nAnswer: -163.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*(r*r*r**0*r)\/r*r))**49\/(r**(-1\/5)\/r)**(-18))**(-20) assuming r is positive.\nAnswer: r**3372","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -q + q + q + 0*q in the form z + x*q and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -565.93447 to zero dps.\nAnswer: -566","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -191\/462 and -181\/798.\nAnswer: 8778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*j - 98*j + 6 = 3*n, 0 = 3*n + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 8996749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t + 11. Let o be d(4). Let b be (-6)\/(-21) + 152\/o. What is the greatest common divisor of b and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 1500?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54 + -50. Solve -3*l - 5*c + 2 = 0, 2*l - 6*l - 8 = -w*c for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 94*b**3 + 9*b**2 + b + 425. Let j(g) = 4*g**3 + 3*g**2 + g + 2. Let l(q) = f(q) - 3*j(q). Differentiate l(z) wrt z.\nAnswer: 246*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by -528.\nAnswer: 3\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 783 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 5*d + 2. Let f be l(5). Let s be ((-10)\/f)\/(25\/(-10)). Which is the second biggest value? (a) -2\/5 (b) s (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 9:45 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3933 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/5 + 1192*v**2\/5 + 9408*v\/5.\nAnswer: 2*v*(v + 8)*(v + 588)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30951 is divided by 64.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 90 + -82. What is the highest common divisor of 2 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 5*v**2 - 2*v + 13. Let z be p(-4). Let g = -3 - -12. Suppose g*u - 20 = -u. Put u, 6, z in decreasing order.\nAnswer: 6, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 2*m**2 + 2*m + 6. Let o be q(0). Let k(y) = y**2 - 2*y + 5. List the prime factors of k(o).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*u + 3*u - 2*t - 20, 4*u + 4 = -5*t for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1991 greater than or equal to 1990?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + ((-112)\/12)\/(200\/300).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of 0 + c**2 - 1\/12*c**4 + 7\/6*c**3 + 5*c. Let q be d(7). Calculate the highest common divisor of q and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -1190*g**2 - 60*g + 5. Let c(v) = 1190*v**2 + 40*v - 3. Calculate 3*c(z) + 2*p(z).\nAnswer: 1190*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13250 by -2.\nAnswer: 6625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 4*a**2 + 5*a - 4. Suppose 3*p - 20 = -2*p. What is q(p)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -c - 4*f + 5*f, 2*c = 4*f + 84. Is 8 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**3 + k**3 - 3 + 3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -t + 6*t. Let a be (4\/(-2) - t) + 3. What is the nearest to -5\/2 in a, -1, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -115352 take away -236.4?\nAnswer: -115115.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4064 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3984, -5357, -1464, 10329, 32656?\nAnswer: 68151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 + 32804*m**2 - 3286800*m.\nAnswer: 4*m*(m - 99)*(m + 8300)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-6))\/((-14)\/(-14))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 84*x**5 + x**3 - 149*x.\nAnswer: 1680*x**3 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from huuyhyfypfyuyu. Give prob of picking 1 u and 1 h.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/9 - 33\/(-9). Suppose w*a - 3 = 45. Suppose 3*q = 9, 4*b + 5*q = 47 - a. Solve b*g + 6 - 2 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*s**2 - 19124*s - 9564.\nAnswer: 4*(s - 2391)*(2*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -c + 4*c - 18, -j = -1. Suppose -2*i = 3*u + 10, -u + c*i + 29 - 4 = 0. Let l(y) = 1 - 2*y + u*y**3 + y**3 - 3*y**3 + 2*y**2. Give l(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2770*s**4 - 745*s**4 - 2120 + 159*s**3 - 159*s**3 wrt s.\nAnswer: 8100*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 17*d**2 - 3. Let o(x) = -2*x - 35. Give r(o(u)).\nAnswer: 68*u**2 + 2380*u + 20822","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.8 + 0.2. Let q be 18\/(-4)*(-16)\/12. Let n be 4\/q + (-68)\/84. Which is the closest to 0.1? (a) u (b) n (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) -4 (b) -5 (c) 3 (d) -2 (e) 0.4 (f) -0.02428\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1259931457 and -0.03?\nAnswer: 1259931457.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1578863?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 4) + 5 + -1 + 2 - 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1327413?\nAnswer: 3, 421, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/13 (b) -4 (c) 7\/3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 68 + 7)*(0 + 0 + 2*m) + (3 + m - 3)*(4 - 4 - 2).\nAnswer: 174*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(3) - 2*sqrt(108)) + -5)*3 - ((sqrt(300) + -1*sqrt(300))*6 + 5)) + -1)**2.\nAnswer: 1386*sqrt(3) + 3708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3085, -6221, -9383, -12583, -15833?\n\"Answer: -2*d**3 - d**2 - 3119*d + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 0, m + 4*m - l = 10. Solve -m*x = 3*d - 9 - 4, 2*x - 10 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -240.2 and -264.\nAnswer: -504.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52*y - 46 + 23 + 25 to the form t + m*y and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 2*o - 9. Let d be s(0). Let a be d\/(-2)*8\/6. Solve -f - 25 = -a*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 - -39. Let l(k) = k**2 + 9*k - 16. Let j be l(-13). Calculate the highest common factor of j and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 - 2318070*u.\nAnswer: -3*u*(u + 772690)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 187 minus -4529112?\nAnswer: 4529299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*c + 4*c + 10. Let w(a) = 12*a**2 + 2*a - 3. What is the remainder when w(c) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 328308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -1)*3\/((-6)\/(-10)). Suppose z*h - 13 - 182 = 0. List the prime factors of h.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/12)\/(1\/82). Let m = 21 + f. Let u = 10 + -15. What is the closest to 0 in u, m, 4\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.01 - 0.07. Let x = k - 0.02. Which is the closest to x? (a) -3 (b) 0 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1245085 is divided by 28295.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) -5.6 (c) 1\/12 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 52*m**2*t**2 + 5603*m*t**2 - 76*m*t - 2*t**2 - 33*t - 1027918 wrt m.\nAnswer: 104*m*t**2 + 5603*t**2 - 76*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express u - 2*u**4 + 2*u**2 - 3 + 373*u**3 + 353*u**3 - 716*u**3 in the form s*u + h*u**4 + a*u**2 + k*u**3 + r and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1447260 times -20.3?\nAnswer: 29379378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/14 + 92\/28. Suppose 15 = 5*q, a + u*q = 2*a + 6. What is the units digit of -57*a\/(18\/(-2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (218 - 218) + -2 + 3 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58\/6 + -9)*((-108)\/16 - -6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u - 2. Let z be l(5). Suppose -5*a + 5*n = -35, 4*a + 3*n - 2*n = z. Solve -a = -3*v - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1348, -1326, -1100, -514, 588, 2362?\n\"Answer: 26*x**3 - 54*x**2 + 2*x - 1322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and -30853.\nAnswer: -30850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2787\/25 > 112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -65911*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7626 and 124.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 693.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**5 + 0*f**5 - 4*f**5 + (4*f - f - f)*(-42*f**2 - 81*f**2 + 19*f**2)*(-3*f**2 + f**2 + f**2).\nAnswer: 203*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -54571 (base 8) to base 4\nAnswer: -11211321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4820 or 4825?\nAnswer: 4825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 5*w - 181, -32 = -3*w + d + 83. Is 37 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18)\/(-81)*(-12)\/(-2). Let n = 9 + -25\/3. Factor 0*z**2 - 2\/3 - p*z + 4\/3*z**3 + n*z**4.\nAnswer: 2*(z - 1)*(z + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - p - 2)*(21 - 9 - 38)*(-p + 5*p - 2*p) to the form s*p + a*p**2 + d and give a.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1933662 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -708.9174 - -709. Round v to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -87, 1.3 in ascending order.\nAnswer: -87, -4, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13792575?\nAnswer: 3, 5, 19, 9679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -56267 (base 9) in base 13?\nAnswer: -14041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.117048ml?\nAnswer: 0.000117048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1179769975.\nAnswer: 5, 37, 34471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(13*(-3)\/(-117)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143 + 47 = -21*c + 30 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4*l + 3. Let c(u) = -5*u - 14. Let v(i) = 6*i + 15. Let k be (-17)\/4 - (-39)\/(-52). Let m(j) = k*c(j) - 4*v(j). Let r be m(-8). Calculate z(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 p when three letters picked without replacement from {p: 3, e: 3}?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -5*b - 18 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -1120 + 1108. Suppose c - 7 - 11 = 0. Let v = c - 10. Solve v = -0*y - 2*y, x*n = -y + 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 266 (b) -721\/6 (c) 4 (d) -4\/9 (e) -4 (f) 3\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*r + r. Suppose 4*h + 12 = -2*z, 2*h - r = -11. Let n be 66\/z - 4\/8. Solve c - 3*y = -n, -3*c - 2*y + 8 = -c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 59*f**2.\nAnswer: 59*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 50411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.6 and -14?\nAnswer: -64.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000552725758 to 7 decimal places.\nAnswer: -0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**4\/7 + 12*s**3\/7 + 16*s**2\/7 - 12*s\/7 - 18\/7 = 0. What is s?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**4 + 1088*t**3 - 77176*t**2 + 434112*t - 636804 = 0. Calculate t.\nAnswer: 3, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*((-132)\/(-65) - 2)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-325)\/(-10))\/(-5))\/(3\/6).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5427*o + 504*o + 132767 + 98614 for o.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -21. Suppose 3*h = 8*h - 2*j - 26, -3*h = 5*j - 28. Suppose 0 = h*f - 12 + 24. What is the smallest value in -1\/3, y, f, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17783*a - 5891*a - 5996*a - 16*a**2 - 5896*a.\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*t**2 + t - 28*t**2 - 56*t**2 in the form g + a*t**2 + n*t and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (3 - (5 - 3)). Suppose h*z = 3*m - z + 22, 24 = -3*m + 3*z. What are the prime factors of (m\/(-14))\/((-2)\/(-48))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -15075, 0.4, 1, 3, 0.33?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*16*(-72)\/(-768).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**12\/c*c**(4\/11)*c**(-2\/5)*c\/(c\/c**(-8\/7)))**27)**16 assuming c is positive.\nAnswer: c**(1633392\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -26, -5\/8, -1\/11?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 251*d**3 + 4*d**2 - 12*d + 5. Is g(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6230, 12720, 19224, 25742, 32274?\n\"Answer: 7*w**2 + 6469*w - 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by (2*2 - (-21)\/1) + 4?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: What is prob of picking 4 h when four letters picked without replacement from hichcchhh?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7.27*-0.61\nAnswer: -4.4347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.432 + -3.3318. Round i to two decimal places.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 1175, -127 in decreasing order.\nAnswer: 1175, 3\/5, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 475 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -2*c**5\/5 + c**4\/2 - 2*c. Find the third derivative of n(r) wrt r.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of c**5\/20 + 5*c**4\/12 - c**3\/3 - 7*c**2\/2 + c - 3. Let y(l) be the first derivative of p(l). List the prime factors of y(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -33. Let u be 1\/w*(-32)\/6. Suppose -19*t = -3*t. Which is bigger: u or t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 9:43 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -17*q**5\/5 - q**4\/4 - 13*q**3 + 2005*q**2 + 230. Find the second derivative of y(u) wrt u.\nAnswer: -204*u**2 - 6*u - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3216338.\nAnswer: 2, 941, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - -50. Let j = n - 36. Which is bigger: j or -1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 421 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152*x + 108*x + 2 - 247*x.\nAnswer: 13*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18421 is divided by 57.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 84 divided by -877014\nAnswer: -14\/146169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 4)\/(3\/24). Let q(x) = x**2 - 16*x - 17. Let j be q(p). Is -17 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-3\/7)\/f)\/f**(1\/5))**11)**(-40\/3) assuming f is positive.\nAnswer: f**(1672\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of 587*s**9\/168 + 61*s**5\/15 - s**3\/6 - 1788*s**2. What is the third derivative of o(i) wrt i?\nAnswer: 211320*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 58582.86 decades?\nAnswer: 7029943.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 11\/881 (b) 5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83 - 82*w**3 + 157 - 74.\nAnswer: -82*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49\/99 - 38413\/198. Let v = 196 + l. Let z = 0.1 - 0.3. Sort 5, v, -5\/3, z.\nAnswer: -5\/3, z, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159993 divided by -53331?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 10119886.7 to the nearest ten thousand.\nAnswer: 10120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -0.09484.\nAnswer: -0.009484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1559.\nAnswer: 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-111)\/(-18) + (-49)\/(6174\/210)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 485*a**3*l**3*q + 2*a**3 + 2*a**2*l**2 - 2*a**2*q - a*l**2*q - 678*a*q - 55*l**3 wrt l?\nAnswer: 2910*a**3*q - 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/15)*g*g\/(g*g**(-7)\/g)*g**2\/(g**(2\/9)*g)*(((g\/(g\/(g**(3\/2)*g*g)))\/g)\/(g\/(g**(-3\/2)*g)))\/(g**(-2\/3)\/g)**(-38) assuming g is positive.\nAnswer: g**(-2359\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + (4953\/5 - 3\/5). Let j = q + -537. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -378*o**3 - 94*o**2 - o?\nAnswer: -2268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 0.5 (c) 2\/5 (d) 219\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**3 + 91*y**2 - 977*y + 784. What is q(16)?\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 2*x + 6. Let n(q) = 2*q + 4. Let o be n(-15). Let z = o - -29. Let f be v(z). Solve k + 4 = -f*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 84899.\nAnswer: -84900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1384595 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5327 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h. Let n(m) = 95*m + 46. Let i(j) = -2*n(j) - 4*x(j). Find the first derivative of i(k) wrt k.\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2030*y = -2096*y + 994620. What is the ten thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 544210 greater than or equal to 7618923\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o + 2. Let k be w(5). Let z(l) = 5*l + k*l + l. Let i(a) = 2*a**2. Give z(i(g)).\nAnswer: 26*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -4*g + 4, 5*g = 7*g - 5*v - 11 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25012423013 - -2?\nAnswer: -25012423011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.702 take away -22.2?\nAnswer: 29.902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(102) - (sqrt(102) + (-3*sqrt(102) - sqrt(102)) + sqrt(102))) + sqrt(102) + sqrt(102) + sqrt(102) - sqrt(102)) + sqrt(102))\/(2*4*sqrt(6)).\nAnswer: 3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21397990 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**2 + 0*p**2 + 0*p**2. Let d(i) be the second derivative of -20*i + 0*i**3 + 5\/12*i**4 + 0*i**2 + 0. Calculate s(d(g)).\nAnswer: -50*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-52)\/(-221)) + 6?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (24\/(-4))\/(2\/7). Let u = d - -18. Let g be 1633\/92 + u\/4 + 0. Solve -1 + g = 4*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6730 + -2.5.\nAnswer: 6727.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**3 + 815*d**2 - 167272*d + 494508 = 0. Calculate d.\nAnswer: 3, 406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3684\/12 + 2 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o**2 - 3*o. Suppose 5*l - 4*r + 39 = 0, 3*l = 3*r - 9 - 18. What is d(l)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, l: 6, s: 9, t: 1}. What is prob of sequence sy?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 5.7. Suppose 0 = -43*t + 42*t. Put -4, t, q in descending order.\nAnswer: t, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-636595)\/(4\/(-6) + (-39)\/(-45)). Suppose 6*q - 4*q = 2005950. Let v = t + q. Round v to the nearest one hundred thousand.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**4 + 6366592*f**3 - 2533235121528*f**2 - 86135514045824*f - 732167509256836.\nAnswer: -4*(f - 795841)**2*(f + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6938005 by 5.\nAnswer: -1387601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i**2 - 86*i + 32. Calculate k(28).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + (-35)\/49 + 248\/14. Suppose 3*x = j - 6. Suppose -4*r + 2*g = -590, 3*r - x*g = 434 + 21. What are the prime factors of r?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + s = 169 - 175, 3*s = 5*i - 24 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/12*-6*1\/28?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-140)\/40)\/((-952)\/(-7072))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 104 and 1508?\nAnswer: 3016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*n - 4*i - 1, -i = n - 2. Suppose 0*z - n*z = -15. Is z*(0 + 1 + 4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 11*q + 11. Let t be d(7). What are the prime factors of (t\/(-3))\/((-4)\/6)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = 24*v - 55 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 6:21 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 8 + 73*h in the form f*h + b and give f.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 12 = 4*y, -79*o - 13 = -82*o - y for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + x = 59 + 208, -182 = -2*u - 2*x. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 20*m - 415 + 199 = -164, -2*m = -r + 18 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64) - (sqrt(64) - -6*(sqrt(64) + sqrt(64)*-1)) - sqrt(64))\/((sqrt(16)\/sqrt(8) + sqrt(2) - sqrt(2))*6 + sqrt(2))*-1.\nAnswer: 4*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -577\/10 + 181\/5. Suppose 0 = -4*m + 18*m - 294. Let f = m + z. Which is the nearest to f? (a) 3 (b) 1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -55477055 to the nearest one million.\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x - 3. Let y = -7 - -10. Determine q(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 22460826, 89843291, 202147402, 359373159, 561520562?\n\"Answer: 22460823*h**2 - 4*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3307, 6613, 9919, 13225?\nAnswer: 16531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22594 and 1817.\nAnswer: 519662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 30*b**2 + 105*b - 27. Let i be u(26). What is the third biggest value in i, 16, 1\/3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3589051?\nAnswer: 1667, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, 1, 0, 36, -70 in ascending order.\nAnswer: -70, -0.05, 0, 1, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11\/2 - (-48)\/(-32). Suppose 0 = 2*y + 3*p, y - 14 = -9*p + i*p. Put y, -4, -2 in descending order.\nAnswer: -2, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339*r + 185*r + 3*o = -159*r - 60, -5*r - 7*o = 100 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1883, 3780, 5679, 7580, 9483, 11388?\nAnswer: 13295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12808 is divided by 4263.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**2 - 21*j**3 + 13*j**3 + 13*j**3 + (2 + 0 - 1)*(-3*j + j**3 + 3*j).\nAnswer: 6*j**3 + 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13810, -13802, -13794, -13786, -13778?\nAnswer: -13770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3051?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4134 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjkjkmmkkmjjjjkj. What is prob of picking 2 m and 1 k?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 134577 + -55630. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of 5*b**4\/24 + 5*b**2 - 4*b. Let i(w) be the first derivative of x(w). Let n(d) = d**2. What is i(n(r))?\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 569\/73017?\nAnswer: 569\/73017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 773\/5 + -4513\/30. Let c(x) be the second derivative of -24 - j*x**3 - 11*x**2 + x. Differentiate c(l) with respect to l.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 13. Calculate the least common multiple of -5 + 6 - (-2 + 1) and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 594, 280, -26, -318, -590, -836, -1050?\nAnswer: -1226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -9854*g - 12. Let r(t) = 3944*t + 5. Give -5*f(s) - 12*r(s).\nAnswer: 1942*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 13*y - 12. Let z be c(8). Let n = -8 + z. What is the highest common divisor of n and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, q: 1, r: 2}. What is prob of picking 1 q and 1 r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1140308985?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 164187 and 6.\nAnswer: 328374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h**3 - 25*h**3 + 1186*h - 30*h**3 + 16*h**3.\nAnswer: -48*h**3 + 1186*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27353 = 27*t - 62152. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-4)*(-8)\/(-42). Let l = -1765 + 1764.8. What is the nearest to 0.1 in -1\/15, l, k?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -984*s + 56081. Let f be r(57). Let a = 3 + -6. What is the closest to f in -0.2, a, 2\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -81*t**4 + 1313*t - 30163 wrt t.\nAnswer: -324*t**3 + 1313","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-3 + (3 - (10 - (8 - -1))) + 125)?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, g: 1, r: 5, y: 2, l: 5}. What is prob of sequence lu?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(396) + 0 - (-5 + sqrt(396) + 0))**2 + -5*(sqrt(396)*-1*3)**2)*-3 + -4.\nAnswer: 53444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 41*a**2 - 52*a - 2136. Calculate s(-41).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/7 (b) -1\/2951 (c) 0 (d) 197 (e) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3371549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 585258 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*l = 40, 7*l - 4*l = 4*y - 92. Calculate the greatest common factor of 2 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000490118 rounded to 7 dps?\nAnswer: -0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 147*s**2 - 35*s - 106. What are the prime factors of v(-3)?\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, s: 1, o: 2, a: 4, e: 1, f: 3}. What is prob of sequence oafo?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12074216 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1932 and 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 25216, 51989, 78748, 105493, 132224?\n\"Answer: -7*y**2 + 26794*y - 1571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssnnsssnsssssnnsnnnn. What is prob of sequence sssn?\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3967 + 6016. List the prime factors of j.\nAnswer: 67, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1088, -889, 596, 3367?\nAnswer: 7424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -13*n - 1. Let l(c) = c**2 - 7*c - 17. Let f be l(8). Let k(g) = 72 + 3*g - 72. Let r(m) = f*k(m) - 2*z(m). What is r(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -91 + 87. Let t be c\/(-1) + (2 - 1). Sort 2.8, 0.1, t.\nAnswer: 0.1, 2.8, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 - 32*o - 10)*(-1 - 3*o + 1 + (0 - 1 + 2)*(3*o - 5*o + 0*o) + 3 - 3 - o) to k*o**2 + c + m*o and give k.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2*b = -3. Find the third derivative of -5*d + 5*d - 2*d**b + 6*d**2 wrt d.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/8)\/((-273)\/(-6552)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-1)*(-158)\/(-632))\/((-1)\/(-8))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7014492 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3310*q + 132396. Determine a(40).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(340\/(-255)*6\/16). Sort -47, -28, h in increasing order.\nAnswer: -47, -28, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -170 - 183?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zw when two letters picked without replacement from {z: 2, w: 1, g: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t. Let p(x) = -19*x**2 + 15*x + 15. Let h(s) = 9*s**2 - 7*s - 7. Let l(d) = 13*h(d) + 6*p(d). What is 3*j(c) + l(c)?\nAnswer: 3*c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z**3 - 40*z - 3*z**3 + 47*z + 2 - 2*z**3 - 3*z**2. Let b be c(-5). Solve -f - 2*u = 0, 1 = -3*f + 2*u + b for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1233330 to the nearest 1000.\nAnswer: 1233000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 not equal to -0.275449?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -643, -641, -641, -643, -647?\n\"Answer: -t**2 + 5*t - 647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2513625 or 2513561?\nAnswer: 2513625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 653.1691 tonnes in grams?\nAnswer: 653169100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00060079 rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, t: 14}. Give prob of sequence bbb.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**3 + d**2 - d. Suppose -h = 4*h - 40. Let r be (h\/6)\/((-6)\/(-9)). Let n(q) = q**3. Give r*l(w) - 2*n(w).\nAnswer: 2*w**3 + 2*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -64*s**3 - 10*s**2 + 64*s - 31. Is f(-13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13421 = -16*y + 75 + 312. Does -2 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16858 = 114*y - 10969 + 1265. Does 36 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -1016. List the prime factors of j.\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**2 + a**2 - 5*a**2. Let l(t) be the first derivative of -2*t**3\/3 - 7. Calculate b(l(q)).\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 0*z + 6*z - 4*z. Let q(g) = 8*g**2. Give m(q(x)).\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 218.9 + -218.8998789. What is v rounded to six decimal places?\nAnswer: 0.000121","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.603 + 0.903. What is the second smallest value in 5, 38, w?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2. Let f(v) be the first derivative of -1036*v**2 + 330. What is z(f(u))?\nAnswer: -4293184*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 15 = -0*c, 2*x = -30*c + 23*c - 7 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 15*j - 2)*(3 + 0 - 6).\nAnswer: -45*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.03 + -5.03. Let j = 1381 + -1382. Which is the nearest to 0.2? (a) j (b) 4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + 2 + -1 + 17 + 52 + -114 + 47?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/(11\/(-22))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -686*t**4*z + 76*t**4 - 5*t**2 - 2129*t*z + 69*t wrt t.\nAnswer: -8232*t**2*z + 912*t**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 1. Let a = 2 - v. Solve a = -f - 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*i + 146, 3*v + v = -i + 34. Suppose 5*k + 5*s - 6 - 4 = 0, 2*k = -5*s - 5. Solve -5*f - k*a + i = 0, 1 - 3 = -a for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112134552 to the power of 1\/2, to the nearest integer?\nAnswer: 10589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 443.5084l?\nAnswer: 443508.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 200 + -101. Let l = -560 + 562. Suppose 0 = l*k - 57 - b. List the prime factors of k.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/12*(-66)\/(-44)*9\/171?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -116116, -231174, -346232?\n\"Answer: -115058*m - 1058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x**3 - 85*x**2 - 58*x + 82. Calculate r(29).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2821 - 1460. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -253382865, -253382866, -253382869, -253382874, -253382881, -253382890?\nAnswer: -253382901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 552 and 42.\nAnswer: 3864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -63\/11, -0.1, 2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (0 + -2 + (3 - 8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -748 - -729. What is the nearest to s in -1\/3, -1\/2, -4, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 275\/(-1452) + 1\/(4\/1).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.1 (b) -3\/26 (c) -11 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5591\/20 - -282. What is the common denominator of 2\/(-3)*42\/16 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (21\/7)\/(9\/84). Solve 2*s + 4*v = -0*s - 22, 5*v = -3*s - q for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.9 + 9.1. Let k = 12 - a. What is the second biggest value in -1, k, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 9973*k**3 - k**2 - k + 1. Let x be j(1). Let i = 15972 - x. Let f be (1550\/(-3))\/((-1)\/i). What is f rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**4 - y**4 + y**4 + (-y**3 + 4*y**3 - 2*y**3)*(-4 + 2 + 1)*(y - 2*y - 2*y).\nAnswer: 5*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 10*h + 3. Let u be j(-7). Is u\/(-9)*(-6)\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9377 is divided by 313?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*((-8432)\/(-32))\/17*1\/2.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, 2\/11, -0.6, 1\/2 in decreasing order.\nAnswer: 35, 1\/2, 2\/11, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -6. Let y be (m - 69\/3) + -1. Let q be 0 - y - (4 + -2). Solve -2*o - 4*p - q = 2*o, 3*o - p = -14 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 + 36500*j\/13 + 432.\nAnswer: -2*(j - 1404)*(13*j + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 192642 - 103463. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 - m - 3. Suppose 5*y - 8 = -0*f - 4*f, -11 = -5*y - 3*f. Suppose -u = -4*q + 9, 0*u - y*u + 24 = 4*q. What is p(q)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 75*s - 77*s + 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 119231053+-14\nAnswer: 119231039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b + 1. Let z be o(4). Suppose 14*q - 299 = -243. What is the derivative of z + 3 - 6 - 6*s**q + 7 wrt s?\nAnswer: -24*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d + 1. Suppose 5*b - 14 = 3*b + 3*c, 20 = 3*b - 4*c. Suppose -3*f = 3*v - b*v + 6, -3*f - 4*v = -9. Let y(w) = -2*w. Give f*y(i) - m(i).\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*p = 23*p - 27398 - 197099. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 874 and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**2 - 90*l. Let x(u) = 3*u**2 - 108*u. Let p(y) = 6*r(y) - 5*x(y). Let a(k) = 10*k**2 + 6. What is p(a(s))?\nAnswer: 300*s**4 + 360*s**2 + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 6) to base 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010111011010001 + 1100?\nAnswer: 1010111011011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 330 - 322. Suppose 27 = c*g - 77. Calculate the remainder when g is divided by 1\/((-2)\/(-18)) + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 29\/48047?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 171916 divided by -10?\nAnswer: -85958\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 58716 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 58 = -8*k, 2*k + h = 3*k - 16 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-1205)\/2*2)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**4 + 1188*v**3 - 6092*v**2 - 15732*v - 8456.\nAnswer: 4*(v - 7)*(v + 1)**2*(v + 302)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c + 73 + 5. Let u(d) = 70*d - 564. Let s be u(8). Which is greater: c or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 607 is divided by (-58)\/(-7)*(-56)\/(-16).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3*k = 265, 7*l - 230 = 2*l - 4*k. Let r be l\/(2523\/(-630) + 4). What is r rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 5*p - 19, -2*i - 4*p + 14 = -0*p. Let z = -49.49 - -46.49. What is the nearest to 2.1 in -0.3, i, z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -2*u - 2*b, u - 4*b = 9 + 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -s**4\/4 - 11*s**3\/3 - 2*s**2 - 6*s - 23. Let l be y(-11). Suppose 0 = -4*p + 2*p + l. List the prime factors of p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 42623 - 3*q + 0*q**2 - q**2 - 42613 + q**3 + 5*q**2. Give f(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of 0*o**4 + 0*o**7 + 0*o**3 + 1\/168*o**8 - 1\/20*o**6 + 1\/15*o**5 + 0*o + 2*o**2 + 0. Factor d(s).\nAnswer: 2*s**2*(s - 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -11*l - 47. Let i(d) = -30*d - 140. Calculate -3*i(o) + 8*z(o).\nAnswer: 2*o + 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 4*o - 16, 4*b + o = b + 4. Suppose 4 = -4*k, b = s - 5*s + 5*k + 449. Calculate the remainder when s is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 + 10)*(2 - (20\/(-3))\/(-5))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23983 (base 15) in base 11?\nAnswer: -78323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-70)\/7*(-84)\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 9*j**3 - j**2 + 3*j - 8. Let x be z(3). Suppose x - 256 = 7*g. Sort 33, g, 2 in increasing order.\nAnswer: g, 2, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -867*n + 54 = -861*n. Solve 23 = -8*l - n for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 11) to base 8\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8245.\nAnswer: 5, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a kilometer in meters?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1591, -3280, -4945, -6580, -8179, -9736, -11245?\nAnswer: -12700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 11102526 and 11102527 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -10.4. Let k(f) = f**2 + 5*f. Let g be k(-4). Which is the third biggest value? (a) h (b) g (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 551306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3090257 and 97.1.\nAnswer: 3090354.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 22*b - 3*b + 1 - 18*b. Let a(h) = 11*h + 4. Calculate a(k) - 6*r(k).\nAnswer: 5*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, c: 4}. Give prob of picking 1 c and 1 v.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 17 - (-157 + 140).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3860.032 - -3869. Round i to zero decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-231065)\/74)\/((-1)\/2). Let g = -2894 + o. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -109583.3, 4, -2\/13?\nAnswer: -109583.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b + 3*b + 3*b)*(-287*b + 157*b**2 + 287*b).\nAnswer: 157*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 2, -4*p - 6 = -5*p + x. Let q(k) = -p*k - 2*k + 2*k. Calculate the least common multiple of q(-1) and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20729*k**2 + 20241 wrt k.\nAnswer: -41458*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 6154\/5275?\nAnswer: 6154\/5275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 20 + 0 = 0. Let v(i) be the second derivative of i**4\/12 + 2*i**3\/3 - 2*i**2 - 9572*i. What is v(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5050.327037 and -0.4.\nAnswer: 5049.927037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3 - 3 + 4*i**2 + i**6 + 16*i**6 wrt i.\nAnswer: 2040*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 8*q - 5. What is k(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1474 rounded to 2 decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 98 - 91. Solve -5*w + s = 2*d - 10, 5*w = -5*d + 20 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*n = 96*n - 1426. Solve -20*z = -17 - n for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 5 + 0*y + 1\/2*y**2. Let h(j) = j**2. Give h(v(w)).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(6\/23)\/(((h**(-34)*h)\/h)\/h) assuming h is positive.\nAnswer: h**(811\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(78\/12)*20\/160*1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*z + 3*b = 151*z + 9, 46*z = 43*z - 7*b + 44 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1595 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 3*j**2 + 3*j. Suppose -c + 4*b - 25 = -6*c, 3*c - 8 = -b. Let a be (15\/12)\/(c\/8). Suppose -a = 3*t - 4. What is q(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14329 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/10)\/((-4)\/(-6)*(-243)\/(-45))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -393 (c) -5 (d) 0.2 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-9)*(2\/9 - 1320\/(-1350))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*o + 0*o**2 + 2*o**2 + 10*o in the form k + y*o + c*o**2 and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 366 - 364. Let a(b) = -b**2 + 5*b + 6. Let l(d) = d. Let z(v) = a(v) + l(v). Calculate the remainder when z(6) is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -43*m - 20*m + 16*m + 4*m - 4 - 35*m wrt m?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p - 4. What is u(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**4 - 4*t**3 + 2*t**2 + 4*t - 3 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 8 = 5*r - 8*c, -2*r - 4*c = 8. Let t = r + 2. Factor -2*n - 3*n**5 + 2*n**5 + 2*n**4 - n**4 + t*n**2 + 3*n**3 - 3*n**2.\nAnswer: -n*(n - 2)*(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*g - 1684*g**2 + 1567*g**2 - 92*g.\nAnswer: -117*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-73)\/(-584))\/((-204)\/(-192))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/17? (a) 4 (b) -2 (c) 35\/38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 13*h**2 - 4*h + 43. Determine p(13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*p = -32671221 + 32666529 for p.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 137 - 211. Suppose 0 = -h*y + 180*y - 18. Solve -3*r = 2*j + 2*j + 20, y*j - 3*r - 6 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1249 - 0.1247766. Round m to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -x**3\/3 + x**2\/2 + 6. Let p be n(1). Suppose 3 = 3*g - p*g, -3*g + 7 = 2*b. Solve -o + 3 = -b for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 6*i + 6. Let f(p) = -2*p**2 - 13*p - 13. Let t(d) = 6*f(d) + 13*x(d). Let n(b) = -17*b**2 - 3*b. Calculate t(n(j)).\nAnswer: 289*j**4 + 102*j**3 + 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 229.7 - 230. Sort 2, -10, g.\nAnswer: -10, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79347493 to the power of 1\/3, to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.8 - 0.3. Let g = -5.36 - -0.36. Let x = -4 - g. What is the closest to -1 in b, 0, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 979 is divided by 324?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41774859*b*i**4 + 7155174*b*i - b - i**2 wrt i.\nAnswer: -1002596616*b*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -14*g**3\/3 + 13121*g**2\/3 + 10321*g\/3 - 938 = 0.\nAnswer: -1, 3\/14, 938","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3023a17 (base 11) in base 3?\nAnswer: 101001202201000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i**3*j**3 - 8901417*i**3*j - i**2*j + 2*i**2 - 626*i*j**3 + 9*i*j**2 - 131*j**2 - 1 wrt i?\nAnswer: -12*j**3 - 53408502*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1539)*-1 + 3)*-4)**2.\nAnswer: -31104*sqrt(19) + 891648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kbk when three letters picked without replacement from kkkbbkkbkkkk?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 4*h**2 + 3*h - 5. Let g be l(-5). Let f be (-3)\/(-9) + 1\/6. Which is the nearest to -1\/3? (a) g (b) f (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*g + 26 = -3*g, -4*t + 3*g + 39 = 0. Suppose 0 = -14*v + t*v + 15. Solve 3*l = -5*q + q - 29, 0 = -l - v for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -56, -141, -280, -485, -768, -1141?\nAnswer: -1616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 7868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 + 2*g**3 + 0 + 50*g - 11 - 6 to p + f*g**2 + y*g**3 + v*g and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 43*b = -11*b - 2626 + 2533, 4*l - 4*b + 3*b = 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uuuuuuuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*b - 37*b + 2 = 0, 0 = 2*f + 2*b - 4. Suppose s - 2 = -s, s = -2*z + 15. Suppose 20*m - z*m - 325 = f. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 27, 4, 7 in descending order.\nAnswer: 27, 7, 5, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*b - 7*b = -39*b - 672 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 + (-144)\/21)*42\/(-12). Let o(z) = -z**2 + 9*z + 12. What is o(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3 + 6 = 0. Suppose -2*a + 2 = -2, v*h + 3*a = 15. Let i be (-35)\/(-10) + (-6)\/4. Solve 0 = -4*o + i*c + 6, 0 = -o - h*c + 4*c for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -91 + -1587.92194.\nAnswer: -1678.92194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 5811?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.5 and -1.1443.\nAnswer: 6.29365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 7*y - 16. Suppose m = 5*b + 40, -5*m - 2*b + 254 = -0*m. Let o = m - 46. Calculate the least common multiple of d(o) and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -73 + 70. Let l(r) be the second derivative of r**3\/2 + r**2\/2 - 2*r. Determine l(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7330514 by 4.\nAnswer: 3665257\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**4 - 2*o**4 - 2*o**4 + (2 - 2 - o)*(5*o**3 + 4*o**3 - 3*o**3) - 2*o**4 + o**4 + 0*o**4.\nAnswer: -11*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w - 9 = 10*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rif. What is prob of sequence fr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**3 + 8*r**2 + 10*r + 10. What is the lowest common multiple of 78 and w(5)?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 6*b**2 + 3*b + 33. Let c be g(7). Let a be c\/(-4)*(4 - (-189)\/(-45)). Suppose -a*p**3 - 3\/4*p - p**2 + 0 = 0. What is p?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v - 3. Let o(s) = -7*s - 8. Let j(r) = -2*o(r) + 5*p(r). Let w(i) = -4. Calculate -3*j(h) - w(h).\nAnswer: 3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x**0*x)))\/x**1)**(-34)*(x*(x*(x\/(x**(-2)*x)*x)\/x)\/x)**12*(x*(x*(x*x*x**(-2\/15))\/x)\/x*x)\/(x*x*x**(-2\/21)) assuming x is positive.\nAnswer: x**(3881\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -24*p**3 - 504*p**2 - 51*p - 1049. Let y be d(-21). Suppose y*m**2 + 32\/3*m**4 + 8\/3*m + 0 + 48*m**3 = 0. What is m?\nAnswer: -4, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 3*g + 219. Let n = g - -141. What is the highest common factor of n and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by 173.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4512 and 22904736.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 114*-0.7114\nAnswer: -81.0996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f**3 - 2*f**2 - f + 1. Calculate the remainder when k(-1) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4*g - 6 + 46 = 0, -5*g = 5*a - 100. Let f be (-1004)\/(-5) - 4\/5. Calculate the greatest common divisor of f and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**6)\/(z*z*((z\/z**(-2))\/z)\/z*z*z)*z**(-3\/5)\/(z*z*z**(-6))*(z\/((z\/z**(2\/7))\/z))\/(z\/((z*(z\/z**(-3\/5))\/z*z)\/z*z))*(z**4\/z)\/z**1 assuming z is positive.\nAnswer: z**(72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*g**3*w**3 + 2081279*g**3*w**2 + 3846409*g**2*w**3 - 5*g*w**2 wrt w.\nAnswer: 18*g**3 + 23078454*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 10*n**2 - 15*n + 36. Calculate o(4).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32198 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 0, 27, -4\/5?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-47 - 49 + 73)*(-3 + 1 + 0)*(9*i - 35 + 35) to c*i + o and give c.\nAnswer: 414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-3)*h**(-9))\/(h**(-2\/15)\/h*h*(h*(h*h**(-1)\/h)\/h*h)\/h))**(-2\/81) assuming h is positive.\nAnswer: h**(116\/1215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 519030 is divided by 693.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3393.3 and 95.\nAnswer: -3298.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 20083051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -3 - -1) + 5. Suppose 8 = c*s, -3*g + 4*s - 74 = -0*g. Is ((-12)\/8)\/(1\/g) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 1:53 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/6 - 10\/15. Let -4 + 3*w**2 + n*w + 4*w + 7 = 0. Calculate w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 795?\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - (-2 - 9\/(-2)). Let x = a + 1. Which is smaller: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*v = -241*v + 119*v + 16665. List the prime factors of v.\nAnswer: 5, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(136) + sqrt(136)*1 + sqrt(136))*2*4)\/((2*sqrt(88)*4)\/(((sqrt(66) - sqrt(66)*-1) + sqrt(66) + sqrt(66))\/sqrt(6))) + 4.\nAnswer: -36*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**1)**(-5) assuming r is positive.\nAnswer: r**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**2 + 2 + 3*s**2 - 5*s**2 + s**2 in the form z*s**2 + a + x*s and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 591.68 * -3.\nAnswer: -1775.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1193.\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4*l**2 + 114*l + 47. Calculate the remainder when x(-39) is divided by 836.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157254413 is divided by 604.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x**2 + 2*x**2 - x + 2*x**2. Let a = -2 + -1. Is 6 a factor of h(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 2*t**2 - 5*t - 52. Let q be h(-9). Suppose f - 195 = -2*p + 1558, 2*f + q = p. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jgg when three letters picked without replacement from {g: 1, j: 1, m: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2474*c - 71456 + 15880 = 117604 for c.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**3\/(w*w**(-11)))**(3\/5))**(-47))**(-32\/7) assuming w is positive.\nAnswer: w**(58656\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/42*75\/20)\/((-555)\/(-12))*2?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 0*a - 6*a + 5 + 0 + 9*a. Give k(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11924884.\nAnswer: 2, 2981221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6715 - 6712. Let l(j) be the first derivative of -4*j - 7\/2*j**4 + 0*j**p + 0*j**2 - 13. What is the derivative of l(m) wrt m?\nAnswer: -42*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 573 + 82 + 105 = -76*d for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -836*c + 222*c + 7713068 = 0. Is 12562 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -5*i. Let y(u) = -u. Let j(z) = -2*p(z) - 14*y(z). Let v(l) = -5*l. Let s(f) = -3*j(f) - 14*v(f). Let w(c) = 141 - 141 - 3*c + 47*c. What is w(s(n))?\nAnswer: -88*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -8 and -6437 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 - 22.6. Sort -3, h, 0.5 in increasing order.\nAnswer: -3, h, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 2*b + 2. Solve 4*t = -2*a, -3*a = b*t - 4*t + 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, o: 1, y: 1, p: 2, a: 1, b: 1}. What is prob of sequence pbyr?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 13*y**2 + 22*y + 30. Let n be v(-11). Solve b = -5*b + n for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173066.\nAnswer: 2, 86533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f + 15. Let z be n(-12). Let y(c) = 3*c**2 - 3*c. Let v(j) = -6*j**2 + 5*j. Give z*v(w) + 5*y(w).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 3. What is the units digit of 2\/i*(-7 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**3 + 0*y**3 + 3*y**3)*(-2 - 11 + 2 + 4 - 6 + 4 + (-4 + 2 + 3)*(0 - 3 + 2)) + (3 + 1 - 2)*(10*y**3 - 10*y + 10*y).\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*a - 32*a - 12 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43793 - h**3 + 43793 + 3*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 60 = -8*c. What is the remainder when c is divided by (32\/(-6))\/2*-6?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 29927268.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**4\/((w**(2\/9)*w)\/w))**(-10\/3) assuming w is positive.\nAnswer: w**(-340\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317491109.\nAnswer: 13, 1579, 15467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4*j = 459, -2*a - 5*j - 5 = -175. Let f be (-1 + (-13)\/(-5))*a. What is the highest common divisor of 19 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17779 * -521.\nAnswer: 9262859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6))**47\/(r**23)**(-4\/9) assuming r is positive.\nAnswer: r**(-2446\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 17 = -3*u, 0 = 2*u - 3*r - 18 - 0. Suppose 90 = o + u*t + 94, -4*t = -3*o - 12. Put -240, 1\/2, o in ascending order.\nAnswer: -240, o, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -86 + 85. Does 34 divide (-12544)\/(-32) + h*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 y when two letters picked without replacement from {t: 1, y: 3, a: 4, h: 2, o: 1, g: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.616404s in hours?\nAnswer: 0.00433789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1191.\nAnswer: 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in 1826, -1\/3, -0.2, -11\/4, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 3315*s + 123218. What is h(-37)?\nAnswer: -806","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-21)*(-45)\/(-30) + 10291\/(-29869)\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**5 - 1010*t**4 + 7335*t**3 + 3620*t**2 - 116080*t + 200640 = 0 for t.\nAnswer: -209, -4, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-30)*3*(-450)\/180.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6 - 4\/2)\/((-5)\/(-1510)). Suppose 7*f = n + 199. What is the greatest common factor of 335 and f?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*f**2 - 250*f - 85 = 0. Calculate f.\nAnswer: -1\/3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u**2 + 141*u - 100. Give y(-47).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-42)*g\/(g\/(g\/g**(-36))))\/(g**(-29))**11)**(-11\/3) assuming g is positive.\nAnswer: g**(-3454\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/3*4\/6. Suppose -2*w - 4 + 8 = 0. Suppose -3*s = -0*u - w*u + 5, -3*s = 4*u - 19. Is s != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -488296600 rounded to the nearest one million?\nAnswer: -488000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 307342 divided by 43906?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.057000881 rounded to 3 decimal places?\nAnswer: -0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.695 from 0.01.\nAnswer: 0.705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (70*g**2 - 241*g**2 - 146*g**2)*(257 - 19*g - 257 + 58*g).\nAnswer: -12363*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5*o = -0*o + 2, -5*i = 2*o - 10. Suppose 2*b = 5*x - 3, 2*x - 1 = -i*b - 11. Is 11 a factor of -2*(-5 - b) + (-282)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4719691 divided by 2.\nAnswer: -4719691\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8 - -1249*9\/1386 and -111\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-20)*(-60)\/(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007903 to 6 dps.\nAnswer: -0.000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 - -16. Let r = b - -5. Calculate the common denominator of r - ((-609)\/(-54))\/7 and 73\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1819563 is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 7. Suppose a*f + 5*p - 15 = 0, 2*f - 2*p = -f - 6. Solve f = -2*o - 1 - 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 410898, 410895, 410890, 410883, 410874, 410863?\n\"Answer: -s**2 + 410899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -16. What is the smallest common multiple of 27 and 1\/(0 - k)*-4?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v + 1 + 2844*v**2 - 1 - 5444*v**2 as y*v**2 + c + k*v and give y.\nAnswer: -2600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -19 + (97 - (-292 + 328))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ioffffohobofofoffi. Give prob of sequence oi.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 2*x + 48. Let z be (0 + x)*(-5)\/(-15). Let j = 27 + -26. Solve 11 + j = z*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-276)\/36)\/((-8)\/72))\/((-198)\/132).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 9*a**3 + 13*a**2 - 379*a + 14. Let x(u) = 14*u**3 + 20*u**2 - 569*u + 22. Give -11*r(k) + 7*x(k).\nAnswer: -k**3 - 3*k**2 + 186*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7576 + 60609\/8. Suppose 0 - a*x - 1\/8*x**3 + 1\/4*x**2 = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 j when three letters picked without replacement from {j: 11, g: 2, p: 1}?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 91536*g*r**2 + 15251268*g*r + 67*r**2 wrt r?\nAnswer: 183072*g + 134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.22908 and -0.2664.\nAnswer: 0.061026912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -196160 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3872 * 1.2\nAnswer: -4646.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 4*h**2 - 12 - 6*h**2)*(h**2 + 2*h**2 - 2*h**2) in the form w*h**4 + k*h**3 + r + u*h + n*h**2 and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5087527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5002671nm to micrometers.\nAnswer: 0.0005002671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2409 greater than or equal to -2409?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-133*j + 232*j - 137*j)*(-23 + 4*j + 23) + (-j - j + 0*j)*(-3*j + 3*j + j).\nAnswer: -154*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21.2 + -5.8. Let c = a + 30. Let b = -3 + 3.01. What is the third smallest value in c, b, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.169232 millilitres in litres?\nAnswer: 0.008169232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11110 (base 2) in base 3?\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004199 to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31056 + 31060. Let i(z) be the third derivative of q*z + 1\/60*z**6 - 1\/60*z**5 + 1\/6*z**3 - 5*z**2 - 1\/8*z**4 + 0. Determine i(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7905 is divided by 7839.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.243 and -151?\nAnswer: 152.243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*a**3 + 41214*a**2 + 6650343*a wrt a?\nAnswer: 78*a + 82428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/471254 and -89\/11494.\nAnswer: 471254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 - 3)*(1 + n - 1) - 8*n + 3*n + 3*n)*(-26*n - 6*n + 4*n)*(-3*n + 0*n + 5*n).\nAnswer: 168*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 2\/7 (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16202187*z + 10718947 with respect to z.\nAnswer: 16202187","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -24, 535, 1074, 1587, 2068, 2511?\n\"Answer: -k**3 - 4*k**2 + 578*k - 597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f\/(f*f**(-3))*f*f\/(f*f**(2\/3)\/f)*f)**(-37))**44 assuming f is positive.\nAnswer: f**(-35816\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 150*w - 23*w + 60*w. Which is the nearest to -0.1? (a) 5 (b) 1\/10 (c) w (d) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*f + 1 = -13*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*f + 722 - 2032. What is the remainder when f is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f - 24 - 21 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/(-72) + (174\/189 - (-384)\/(-336))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -3*m - 80. Solve 3*i + m = -2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19090 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 3*f + 2*f - 115, 3*f - 96 = 4*k. Let d = 37 + k. What is the second derivative of d*i - 5*i**3 + 8*i + 4*i**3 wrt i?\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 4561414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92, 91, 90, 89?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 + -5 + -13 - (0 + (5 - -2))) + -56.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.16 (b) 4 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {x: 1, w: 12}?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -543730 - 3*m**2 + 543730.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (16\/(-20))\/(4\/(-30)). Suppose -31 = -5*i - v. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9604\/24 - (-120)\/144 is divided by 105?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*(-4)\/16 + (-8)\/5. Which is the nearest to 0.1? (a) k (b) -1\/6 (c) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5292 > -5294?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 147030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264 = -s + 5*h, -5*s - h + 6*h + 1360 = 0. Suppose -4*n + 294 + s = 0. Suppose -5*q = -2*y - q + n, -5*y - 5*q = -325. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/((-9)\/(-6)))\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c + -22f?\nAnswer: -23b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 2\/5031565?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 64*d + 2489. Give y(46).\nAnswer: 1661","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8f + -fca?\nAnswer: -f3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + (-3 + 9 - 0). Let l be (2\/(-3))\/(-2 - m\/(-3)). Let z = -0.4 - -0.1. Which is the second smallest value? (a) l (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10*-103338\nAnswer: 1033380","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4*d = 3*i - 101, i - d = 22. Suppose -14 = -28*j + i*j. Determine f, given that 1\/3 - f + f**j - 1\/3*f**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.97051545 to two dps.\nAnswer: -4.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 479 - 153 = 0. Let a = t + -76. Let w(m) be the second derivative of m**4\/12 - 5*m**3\/6 + 3*m**2\/2 + 4*m. Determine w(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 66241?\nAnswer: -66235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 9:04 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1110*n**2 + 4369*n**2 + 2477*n**2 to w*n + g + z*n**2 and give z.\nAnswer: 5736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3233570 divided by -646714\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v - 22. Let b be q(12). Find the common denominator of ((-904)\/480)\/(b\/(-6)) and (-671)\/(-70) - (-4)\/(-14).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -923310*h - 12926351. Calculate q(-14).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -20*f - 74. Let u be a(-11). Which is bigger: 145 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 287620, 287606, 287574, 287518, 287432, 287310, 287146, 286934?\nAnswer: 286668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1375.998178 - -1376. What is i rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4288471?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 180242 or -1382?\nAnswer: 180242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268 is divided by -45*7\/(21\/(-2))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-28)*27*3066\/(-1314)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -6*y**2. Suppose 3*b - 31 = -25. Let c(p) = 44 - 44 - 7*p**2 - 6*p**b. What is c(r(o))?\nAnswer: -468*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9715*b*g*v**3 - 41*b*g*v**2 + 103*b*v**3 - 3*b*v**2 + 27*b + 2*g*v**3 - 3*g*v - 4*g + 4*v**2 wrt v?\nAnswer: -58290*b*g + 618*b + 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*h + 20*h = 0. Sort -4, 3, -6, h in increasing order.\nAnswer: -6, -4, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + sqrt(2) + 3*2*sqrt(2) - (sqrt(162) - sqrt(162)*-2)) + (sqrt(128)*-2 - sqrt(128))*5)**2.\nAnswer: 38642","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.019, 2\/21, 3, -0.1.\nAnswer: -3.019, -0.1, 2\/21, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**1)**(1\/43)\/((t**0*t)\/(t*t\/((t\/(t*(t**(-2\/25)*t)\/t))\/t)*t))*((t\/t**(2\/3))**(11\/9))**(-42) assuming t is positive.\nAnswer: t**(-136849\/9675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 260517236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 2:31 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*m**3 + 128 - 902\/3*m + 2\/3*m**4 + 218*m**2 = 0.\nAnswer: 1, 3, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 2*h**2 - 4*h - 1. Let w be i(3). Let m = 6 - w. Calculate the lowest common multiple of m and (15\/(-18))\/((-1)\/6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = o + 9, 0*o + 2 = 2*o. Solve -4*b - p*a + 20 = b, -3*a + 13 = 4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1005\/65 - (5\/((-455)\/(-133)) + -1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 28*a**3 + 3*a**2 + 2*a + 5148. Is i(0) a multiple of 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/7 and -5\/5571?\nAnswer: 38997","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*t + 40 = 0. Suppose 0 = -3*d - 15, 0 = 3*n - 0*n - d - t. Suppose -2*c + 58 = 4*x + 12, -2*x = n*c - 123. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g - 168 = -24*g. Find the first derivative of -101 + 38*n**2 + 8*n**2 + 23*n**g - 22*n**2 - 27*n**4 wrt n.\nAnswer: -16*n**3 + 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 2 = 11*v, 298*v = 294*v + 3*g - 23 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*u - 1, 3*f + 24 = -3*u. Let s = 15 + f. Does 2 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7028.524l?\nAnswer: 7028524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 5*f**2\/2 + 46*f - 4607. Give j(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 (base 6) in base 5?\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -46596\/18065 >= -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1353, 2686, 4019, 5352, 6685?\n\"Answer: 1333*w + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-nine thirds of a century?\nAnswer: 23600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**4\/2 - 3165*p**3 + 119187*p**2\/2.\nAnswer: 3*p**2*(p - 2091)*(p - 19)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/3))**(-12\/5)\/(y\/(y\/(y\/(y*y**4))*y))**(-10\/17) assuming y is positive.\nAnswer: y**(-182\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p**4 + 19*p**3 + 41*p**2 + 35*p + 16. Let o(u) = -8*u**4 + 56*u**3 + 122*u**2 + 106*u + 48. Let s(d) = -5*o(d) + 14*z(d). What is h in s(h) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 827*i = -17234 + 4829 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 1069.\nAnswer: -4, -2, 1069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 53*i + 125 - 35*i - 16*i + (-3 - 5 - 2)*(4*i - 3*i - 2*i) - i + 3*i - 3*i as f + t*i and give f.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 145*c**2 - 9*c + 332. Let u(l) = 146*l**2 - 12*l + 332. Let b(z) = 4*p(z) - 3*u(z). Differentiate b(j) wrt j.\nAnswer: 284*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-4) - 46\/(-8). Let u(v) = -v**3 + 5*v**2 + 5*v + 3. Let n be u(g). Which is bigger: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -93834*z**6 + 2*z**2 + 35905?\nAnswer: -11260080*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44\/85 + -2\/17. Suppose -n - 4 = -4*x, -1 = 4*x - 4*n + 7. Let o = 2\/2009 - 2019\/10045. Put x, -11, o, d in decreasing order.\nAnswer: x, d, o, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3858039047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 293, -1, -7, 2, -26 in descending order.\nAnswer: 293, 2, -1, -7, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -0*x. Suppose x = v - 49 - 35. Suppose -12 = 2*d - v. Calculate the highest common divisor of d and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - a + 2. Let q be s(1). Let g(i) = -i**3 - i**2 + 2. Let r be g(q). Solve p - 12 = 4*u, 3*p - p = r*u + 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 14*f**2 - 6*f - 23. Suppose 26*j + 155 = -1. What is the hundreds digit of t(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 + 1040733?\nAnswer: 104073b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*u - 1215 = 110*u. Suppose 0 = -4*x - 5*q + 4945, -6*x + 3*q = -5*x - u. What are the prime factors of x?\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((2*sqrt(1008) + 4)**2 + sqrt(1008))*5 - ((sqrt(1008) - (-4 + sqrt(1008) + 1))**2 - (sqrt(1008) + sqrt(1008)*-2 + 3)**2)) + 5.\nAnswer: -42491 - 1896*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = c - 59, 0 = 13*l - 15*l - 2*c - 22. List the prime factors of (56\/l)\/((-1)\/27).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c + 3*c + 320 - 298)*(-2 - 2 + 2).\nAnswer: 4*c - 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 74397899 a multiple of 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 117971 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -14 + (-2 - -12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 5*s**2 + 5*s + 8. Let h be t(-4). Solve -2*i = -2*w + i + 16, 0 = 3*w + h*i - 7 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 4*t = 40. What is the highest common factor of t and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*2\/24*30\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/525*150)\/((-30)\/(-1512)*6)\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 65*g**4 - 7*g**3 - 5*g**2 + 1908. Let y(j) = 97*j**4 - 11*j**3 - 8*j**2 + 2861. Let i(f) = -8*a(f) + 5*y(f). What is the derivative of i(m) wrt m?\nAnswer: -140*m**3 + 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-72)\/60)\/(3\/10). Let t be (-2)\/c - 7\/(-2). Let h be t\/6*(3 + 3). Solve 3*g + h*k + 19 = 2*k, 34 = -3*g - 5*k for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -446 = -6*j - 158. Let o = j + -38. What is the second biggest value in -4\/3, -0.1, -0.5, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/10390 and 53\/2845?\nAnswer: 5911910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 666 - 4971. Let u be 1*2 + m\/(-49). Let k = -135\/7 + u. Put -1, k, 0.5 in ascending order.\nAnswer: -1, k, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - 4*x + 120. Suppose 5*n - x + 5 = 0. Let d be 0 + (n*-3)\/(-3). What is the nearest to 0.1 in d, -0.1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-8)*10\/50)\/((-155)\/(-62))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, d: 1, i: 2, v: 2}. Give prob of sequence vv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 615862.17 rounded to the nearest one thousand?\nAnswer: 616000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 75*i**2 + 73*i - 227. What is f(-76)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**4 + 4*u**3\/7 - 38*u**2 - 496*u\/7 - 120\/7 = 0.\nAnswer: -3, -2, -2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 1001303?\nAnswer: 1001311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 2*a = 22, 585*s + 6*a + 118 = 604*s + 5*a for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.644 and -0.0432218?\nAnswer: 2.6007782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -20*m + 1. Let c be g(-2). Suppose -45*f + 140 = -c*f. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 114 and 42522.\nAnswer: 42522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -14. What are the prime factors of (-10320)\/(-27) - b\/(-18)?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 701597807 to the nearest integer?\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = 4*c - 139. Solve 0 = 4*l + 4*p + c, -l - 4*p - p = 15 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 84\/(-66)*2)\/(14\/(-77))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 - -29. Let v = c + -75. Suppose v = -76*i + 73*i + 189. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -531 + 530. Sort -2, 0.1, 2\/5, h in descending order.\nAnswer: 2\/5, 0.1, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 12176?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 2:58 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 s when four letters picked without replacement from {d: 7, s: 7}.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, p: 2, z: 1, a: 1}. Give prob of sequence zn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300*v + 297*v = -15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/4 - 338*a - 1353\/4.\nAnswer: (a - 1353)*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145451615?\nAnswer: 5, 101, 288023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6 + (-58)\/(-10))\/(4\/(-20)). Let o be 2\/(-6)*(-6)\/50. Which is bigger: i or o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -12. Suppose -3*u + 59 + 46 = 0. What is the greatest common divisor of u and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 42, 0, 5, -9, -405.\nAnswer: -405, -9, 0, 1, 5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.167 less than -1803?\nAnswer: -1793.833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 divided by 3409809.\nAnswer: -59\/3409809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/44 and 0 - 3\/(-6) - 390\/(-200)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.07 (b) 2 (c) 2\/7 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 1153?\nAnswer: 12683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39475 or -39472?\nAnswer: -39472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -2*s**5\/15 + s**4\/12 + s**3\/3 - 111*s**2. Give i(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hqvvhhhvyvnvvvqhhnh. What is prob of sequence nynv?\nAnswer: 7\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -177*o**2 + 8*o - 137. Let y(r) = -59*r**2 + 3*r - 46. Let n(u) = 3*t(u) - 8*y(u). Find the first derivative of n(m) wrt m.\nAnswer: -118*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107973 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 7:58 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, t: 18}. Give prob of sequence utt.\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(297)\/sqrt(99))\/sqrt(9) + 4.\nAnswer: sqrt(3)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -44cd97 - -4?\nAnswer: -44cd93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - s**2 + 4*s**2 - 3 - 6*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2496 or 756?\nAnswer: 2496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3827615?\nAnswer: 5, 11, 69593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14700 and 153860.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + u + 6 = 0, -442*u + 438*u - 27 = -5*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-285)\/95)\/((-15)\/(-35))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*n + 0*n = -146, 0 = 2*n + 8. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(275) + sqrt(176) + -2)**2 - (sqrt(2695)\/sqrt(5) - ((-3 + sqrt(11))*-1 + sqrt(11))).\nAnswer: -3*sqrt(11) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/5 + 64*r**2\/5 - 1024*r\/5.\nAnswer: -r*(r - 32)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 126347211?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - 3. Let f = 91 + -93. What is the nearest to f in v, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**3 - 2*c**3 - c**3 + c**3.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((1 - 3) + -3 + 4)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 0)*(3 - 3 - 2*y) + y + y - y + 0*y + y + 0*y)*(-20 - 25 - 98).\nAnswer: -858*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ahhhhhahha. What is prob of sequence aaah?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23978714 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13513761257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 13*i**2 - 2768*i + 24907. What is a(9)?\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7061, -7124, -7299, -7640, -8201, -9036, -10199?\nAnswer: -11744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 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 o = 4830 + -2365. Is 32 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 6*f. Let s(g) be the second derivative of -g**4\/4 + 17*g**3\/6 - 16*g. Give -17*o(u) + 6*s(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1950289689 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {v: 1, t: 3, n: 7, i: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.19 (b) 67 (c) 2187\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11689 + 8527. Which is smaller: -3160 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -35 - (-1 + -3 + 9 - 4 - 4).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 17 = 100. Let m be 6\/(-4)*(-260)\/n. Calculate the greatest common factor of 80 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44*d**5 - 310*d**3*p - 36*d**2*p - 20*d**2 - 3*p wrt d.\nAnswer: -2640*d**2 - 1860*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*w**2 + 4*w - 389*w**3 - 203*w**3 + 8*w**2 - 4*w to f*w**3 + m*w**2 + c*w + z and give f.\nAnswer: -592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -36526 and -26?\nAnswer: 949676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/599636 and -95\/24.\nAnswer: 3597816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 4, -109, -400, -947, -1828, -3121?\nAnswer: -4904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) 1\/10 (b) -2\/7 (c) -3 (d) 7 (e) 2863\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-2\/9))**(-29\/5)\/(f\/(f**(2\/9)*f))**(16\/7) assuming f is positive.\nAnswer: f**(-691\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = t - 6, 0 = 5*t - 2*o - 21 - 9. Suppose -95 - 223 = -t*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3 - 7*z**2 + 6*z**2 + 2 + z. Let h = -6 + 2. Let i(y) = 5*y**2 - 4*y + 4. Let x = -2 - -1. Determine h*b(r) + x*i(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 0*o + o - 12 = 0, -3*w + 14 = 2*o. Solve 6\/7*s**w - 2\/7*s**4 - 8\/7 - 4\/7*s**3 + 8\/7*s = 0 for s.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o - 37. Determine h(-17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16299825406 less than 1627?\nAnswer: 1626.83700174594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((28\/(-7))\/20).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10678371679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {n: 1, z: 3, u: 6, a: 2, j: 1, l: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -49*g**3 - 131*g**2 + 195*g + 556. Determine n(-3).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -12*(-6)\/36*-3. Put -2, v, 3 in decreasing order.\nAnswer: 3, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -60*m + 65*m. Is 19\/21 at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13085 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 + -15. Let k be 6 + -3 + (4 - 3). Suppose -x + 20 - k = b, b - 12 = 3*x. Calculate the remainder when s is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76467, 76272, 76077, 75882, 75687, 75492?\nAnswer: 75297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - -15) + (1 - (23 + -5)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.11 - -4. Is o >= -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6046 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 31*v**2 - 3*v + 7. List the prime factors of s(6).\nAnswer: 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 22 = 2. Let n(c) = 3*c**3 - 5*c - 4. Let a(v) = 3*v**3 - 6*v - 5. Determine d*a(o) - 5*n(o).\nAnswer: -3*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 45 - 85 + (-2 + 6 - 2)*(1 + 1 - 1) + 1 - 5 + 2)*(-91*h - 77*h + 204*h).\nAnswer: -2160*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 5*o**2 + 28 + 3*o**3 - 30*o - 2*o**2 - 2*o**3 + 25*o**2. Is j(-29) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 874 - 5?\nAnswer: 86d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.17 - 0.16. Let r = 0.3 + -0.9. Let o = r - -0.5. What is the second smallest value in 4, o, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/26982 and -91\/242838.\nAnswer: 242838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4 + q**4 + 0*q**2 - q**2 + 2. Let d(s) = 2*s**4 - s**3 - s**2 - 3. Let n be 2 + -2 - (9\/3 - 9). Let r(o) = n*h(o) - 4*d(o). Solve r(p) = 0 for p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 221*x - 430*x + 2*x**2 - 73 + 19*x**3 + 209*x wrt x?\nAnswer: 57*x**2 + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -18507, -37020, -55527, -74028?\n\"Answer: 3*c**2 - 18522*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2695 is divided by 387.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21760 and 12410?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 463*y**3 + 3*y**2 - y - 9. What is the thousands digit of g(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*j**5 - 7*j**5 - 4*j**5 + (-j**4 - 3*j**4 - j**4)*(25*j + 10*j - 12*j).\nAnswer: -134*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u - 14. Let k(s) = 83657*s + 4 - 1 - 83659*s + 10. Determine -5*k(f) - 4*x(f).\nAnswer: -2*f - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15004, 30018, 45028, 60034, 75036, 90034?\nAnswer: 105028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/7)*s*s*s)\/(s\/s**(-21\/5)*s*s) assuming s is positive.\nAnswer: s**(-157\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**3 - 5*r**2 - r - 2. Let l = 7 + -22. Let q be (4\/5)\/((-3)\/l). Does 12 divide g(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/7 (b) -0.9 (c) -3\/4 (d) 11\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -2. Suppose 2*u - h = 17, k*u + 10 = -5*h + 45. Suppose 3*b - 31 = u. What is the highest common factor of b and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-36)\/(-15) - 8\/20. Suppose -x - 4*a - a = -21, -t*x - 2*a = -10. Which is smaller: x or 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-468)*5\/20*84\/(-70)*-5.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*s + 15. Let n = 3 + s. Suppose -5*j + 49 = -4*j + i, -5*i - 235 = -n*j. What is the highest common divisor of 12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/(-2) - 0) + 6. Let t(u) = -3*u + 0*u - 1 + r*u**2 - 6*u**2 - u**3. Suppose -2*d = 5*h - 4*d + 21, -3*h - 2*d = 19. What is t(h)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -18*l**2 + 6. Let j(t) = t. Give a(j(k)).\nAnswer: -18*k**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 452901348.\nAnswer: 2, 3, 4193531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, 1\/12, -0.1, 1256?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) - (5 + (sqrt(320) + -1 - sqrt(320)))) + (sqrt(320) + 1 + -3 - sqrt(320)) + (1 + sqrt(320) + sqrt(320) + 0 - ((sqrt(320) + 1)**2 + 3)))*6*6.\nAnswer: -11844 + 288*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (23876 - 23876 + 50*h)*(-h**2 - h**2 - 4*h**3 - 2*h**3) in the form w*h + z*h**3 + y*h**4 + q*h**2 + o and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*q**3 - 120*q**2 - 108*q + 40.\nAnswer: 4*(q - 5)*(q + 1)*(7*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -n - h, -3*h + 15 = 5*n + h. Suppose -13 = -3*m - 4*u, -m - u + 5 = 2. Let s be (22\/(-6))\/(m\/n). Calculate the highest common divisor of s and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -5, -0.3, 0.1, 9.9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxz when three letters picked without replacement from {q: 1, x: 2, z: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -13330200121 (base 4) to base 3\nAnswer: -10220211010021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 4*r**2 + 6*r + 4. Let k be l(5). Let u be -13 - (k\/(-3) - -6). What is the units digit of (-3)\/(-2)*u\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.15 + 1.91. Let c = a + 0.74. Which is bigger: 0.2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-5)*1)\/((-132)\/(-1155)).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 112 + 65*y - 3*y**2 + 57*y - y**2 - 2*y**2. Let w(b) = -4*b**2 + 81*b + 75. Let h(f) = -5*t(f) + 8*w(f). Determine i so that h(i) = 0.\nAnswer: -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 3\/257 (b) -36.08 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3686299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44164*x**3 - 19528*x.\nAnswer: 264984*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 105*r - 951. Determine y(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -123*n*z**4 - 7257*n + 11*z**4 - 477*z**3 + 27*z**2 + 2*z wrt z?\nAnswer: -2952*n*z + 264*z - 2862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 15\/(60\/44) + -5 + 0. Let k(d) be the first derivative of -11 + d - d**2 - 1\/3*d**a. What is k(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 317374033 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v. Let w(a) be the first derivative of 3 + 1\/6*a**3 - 2*a + 0*a**2. Let g(b) be the first derivative of w(b). Calculate t(g(f)).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -14*c. Calculate u(6).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -209936*a + 184. Let s(u) = 41987*u - 37. Let t(d) = -24*s(d) - 5*z(d). Let q be t(-4). Round q to the nearest ten thousand.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15 - -3)*3\/2. Let c = i + 20. Find the third derivative of 3*r**3 + 3*r**2 + 2*r**c + 3*r**3 - 3*r**3 wrt r.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50763177119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 7*v**2 + 13*v - 5. Calculate the least common multiple of 12 and h(-9).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 215463.1 centuries to millennia.\nAnswer: 21546.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**2 + 0*l**2 - 2*l**2)*(-5470 - 19*l**2 + 38*l**2 - 16*l**2 + 4602).\nAnswer: 3*l**4 - 868*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1087219904?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**2 + 28 - 158 - 2*b**2 + b**2 + 64.\nAnswer: 2*b**2 - 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -63, -143, -243, -351, -455, -543, -603, -623?\n\"Answer: 2*t**3 - 22*t**2 - 28*t - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(-4) - 9\/36. Suppose p*l + 5*t = -8 - 2, -3*l = -4*t - 8. Suppose l = 2*m + m - 12. Which is smaller: m or 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-12)*(-15)\/10?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*p**5 + 22*p**4 + 72*p**2 - 5.\nAnswer: 240*p**2 + 528*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*k = -0*r - 10, k = 3*r + 8. Let a(n) = 3*n**2 + 3*n + 3. What is the remainder when 3*(16\/(-24))\/(r\/26) is divided by a(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 7*p**2 - 7*p**2 - 3*p + 6 + 7*p**2 + 0*p**3. What are the prime factors of y(4)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -177164, -178205, -179942, -182375, -185504, -189329, -193850?\n\"Answer: -348*u**2 + 3*u - 176819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (1 + -1 + 0 + 8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0.9 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.206, 0.3, 5\/7, -31, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 - -44. Suppose 2*w - 4*w = -4*a - 56, -5*a - h = -3*w. Suppose -w = -2*m + 28. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v - 140 = -17*v. Let i(b) = 21*b**2 - v*b**2 + 5*b**2 - 73*b**2. Let j(l) = 4*l**2. Determine i(j(o)).\nAnswer: -1072*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*b - 12 = -0*b, -3*d + 2*b = 4. Suppose 0 = 3*w + 3*l - 192, 0 = 2*w - w + d*l - 60. Does 15 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 177 and 1247496?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/6462 and -31\/6462?\nAnswer: 6462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tuo. What is prob of sequence ot?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.28 - -0.78. Which is the smallest value? (a) -38 (b) -4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 863*j + 6799*j - 484*j to h + a*j and give a.\nAnswer: 7178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*k**6*y - 45*k**5*y - k**2*y + 316*y wrt k.\nAnswer: 840*k**3*y - 2700*k**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -72*t. Let l be i(2). Let x be 1 - (l + 3 + -2). Suppose 0 = -2*r + 3*d - 7*d + 36, -3*d = -4*r + 61. What is the highest common factor of x and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 3*n - 7*n - 16, -n = -4*q + 19. Let i be 43*(-3)\/2*q - 0. Let m = i - -371. What are the prime factors of m?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + -172 + 124 - (2 + (12 - -2))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/4229280 and 151\/5148.\nAnswer: 54980640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (14\/(-11) - -1) + 148016719\/4411.\nAnswer: 2, 8389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8172009.\nAnswer: 3, 233, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y - 39. Let r(z) = -10*z + 77*z - 12*z - 61*z. Determine v(r(f)).\nAnswer: -12*f - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, -28, -122, -306, -610, -1064?\nAnswer: -1698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -12, 0, 5, 4 in descending order.\nAnswer: 5, 4, 0, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 6*a**2 + 4. Let b be r(6). Suppose -l + 79 = b*n + 20, -2*n = -l - 37. Suppose -3*k + 1 = n. What is the smallest value in k, -2\/9, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of w**4\/4 - 2*w**2 + 134. Let n(h) = 22*h**2. What is i(n(x))?\nAnswer: 132*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -33\/2, -0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -1. Solve -3*m + 5*i = -f*m - 25, -25 = -2*m + 5*i for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64811.\nAnswer: 64811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 4*p**2 - 2*p + 10. Let d be i(4). Let s(k) = 2*k**d - 12 + 12. Let a(m) = -37*m. What is a(s(j))?\nAnswer: -74*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 8 (b) 2\/11 (c) -3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 20 = -48. Suppose 2*h - p*h + 5 = 0. What is the derivative of 15*d + 3*d**4 - 15*d - h wrt d?\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.4, 0.2, 7.9, -471, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -4*k**2 - 3332*k + 6680 = 0.\nAnswer: -835, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.048 and 96.\nAnswer: 96.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14922710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 177936471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 5:25 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i - 1. Suppose 3*z - 2 = 4. Suppose z*t + 4 = -4. Calculate b(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -8, 0.219, -2, 1, 7 in descending order.\nAnswer: 7, 1, 0.219, -2, -8, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1951059 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -289 - -295. Solve p - 1 = f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35\/2 - -18. Let u = 0.05 - -0.55. Sort x, u, 0.3.\nAnswer: 0.3, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82163 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**4 + 4*z**4 - 5*z**4 + (0 - 1 + 4)*(9*z**4 - 78*z**3 + 78*z**3) + (2*z + z - z)*(-3*z**2 + 3*z**2 - 3*z**3).\nAnswer: 20*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ao when two letters picked without replacement from {h: 1, o: 4, a: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 + 590 - (-10)\/(-1) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.61008 to the nearest integer.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -41426.598 to the nearest one thousand.\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -68\/103 + -2\/309. Let a = 0.074 + -0.054. What is the fourth biggest value in a, 0, -2\/7, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -12*d**3 + 14*d**2 - 51*d + 122. Give j(3).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 9, 12, -12, -4 in increasing order.\nAnswer: -12, -4, 9, 12, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 1 = 3*x. Solve x*s = 12*s + 40 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 253 (b) -4 (c) 1 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -4*f - 12. Calculate w(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.2321249 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 + 18915*w - 94650.\nAnswer: 3*(w - 5)*(w + 6310)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 24411181 times 0.4\nAnswer: 9764472.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -n + 6, -11*n + 6*n = 9*j + 38 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + (2 - -1))*105\/((-3780)\/1116).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/1 + (-275)\/75.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/9 - (3\/(21\/5) - 107100\/208250).\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17227 - 17159.135. Let p = 18 - 86. Let n = p + m. What is n rounded to 2 dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f + 1. Let i(y) be the second derivative of 1\/3*y**3 + 0 + 210*y + 1\/2*y**2. What is -3*i(v) + 4*z(v)?\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 89 + -88. What is the remainder when 40 is divided by (2 - (-2)\/l) + 154\/22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 + -0.2. Let t = -0.0342 - 0.0658. Which is the second smallest value? (a) -6 (b) t (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -l**7\/1680 - l**5\/30 + l**2. Let r(s) be the third derivative of g(s). Let a(b) = 217 - 2*b**2 - 217. Determine r(a(t)).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 261082589?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9626467cm to nanometers.\nAnswer: 9626467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 + -2 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55748917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 65 - 62. Let r = -3.92 + -0.08. Let n be (-22)\/(-16) + (-3 - -2). Sort r, n, k in descending order.\nAnswer: k, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**(7\/2)*k\/k**(-7) assuming k is positive.\nAnswer: k**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 275 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3815*f - 3815*f + 278*f**3 - 2.\nAnswer: 278*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l + 10. Let v be f(-13). Let k(p) = p**3 - 17*p**2 + 2*p - 33. Let h be k(17). Let o = h - v. Which is the biggest value? (a) 5 (b) -1\/9 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*o**3 + 3 + 12*o**3 + 22*o**3 to the form w*o + d*o**3 + k + g*o**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 14.85 - -5\nAnswer: 19.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153143?\nAnswer: 37, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 3:24 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/156*-1*36*(-110)\/1320?\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*u + 12*b + 68 = 4*u, 2*u - 3 = -2*u - 3*b - 2 - 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of 2*c**7\/105 - 17*c**6\/30 + 21*c**5\/5 + 27*c**4\/2 + 11*c**2. Factor q(r).\nAnswer: 4*r*(r - 9)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1212 + 3302. Calculate the greatest common divisor of j and 950.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 8 - 1026\/133?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {d: 1, n: 4, z: 1, a: 4, b: 4, y: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 708049.\nAnswer: -3\/708049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -163 or -164?\nAnswer: -164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 5*s**2 + 3*s - 16. Give n(7).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.7635665 and 4.\nAnswer: -3.054266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zzrzrazrrzr?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j**2 - 10*j**2 - 7*j**2 + 30*j**2.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -1\/7, -5, 3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 38684 + 2.0982\nAnswer: 38686.0982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13.628 + -13.228. What is the fourth smallest value in 3, -7, 0.2, i, -61?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2 + 2)*(-2*k**2 - 6*k**2 + 3*k**2) + k**2 - 1 + 1 - 3*k**2 - k**2 - 2*k**2.\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 510 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = 4*j - 11*k - 2624, 0 = j - 2*k - 656. Suppose -5*u + t + 262 = -3*u, -2*t - j = -5*u. What is the highest common factor of u and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3*x - 6 = 0, -2*h + 0 - 14 = -4*x. Solve -2*d - 10 = 4*n, n - h*n = 2*d + 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 81 + -36 - 16.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224 = 7*n - 1 - 62. Solve 0*y = n*y + 328 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 5. Determine n(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/2 and ((-250)\/200)\/(25\/28 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 31 = 176. Let x = 1176 + -1074. Let b = x - m. Is 11 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-12) - 90\/135. Suppose -8 = 2*t, -5 = o + 3*t - 1. Solve q = -3*r - r + o for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83127 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10110101111011 (base 2) to base 3\nAnswer: -120222020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -16427 times 9.003\nAnswer: -147892.281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 84 = -0*n. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32556 - -15956. Round v to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -16. Solve 4*q + 3*g - 2*g = -p, 3*q = g - 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + (21 - -4) + 20?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 t when three letters picked without replacement from tlvltqt.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 189 - 172. What is the derivative of -21*j**2 + 10*j**2 + i*j**2 + 41*j**2 + 46 wrt j?\nAnswer: 94*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278096405 plus 174322?\nAnswer: 278270727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52.65415 - 52.81. Round y to two dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -1, -5 in decreasing order.\nAnswer: 4, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 127, 252, 371, 484?\nAnswer: 591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32116 and 938.\nAnswer: 2151772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249*t = 33*t + 53*t - 123950. Suppose 3*d + 5*i - 54 = -9, -4*i + 48 = 3*d. Calculate the highest common divisor of t and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/198*(-25)\/20*(-12)\/20?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -254*x**2 + 139*x**2 - 4*x + 16 - 77*x**2 - 189*x**2 wrt x?\nAnswer: -762","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43\/(-14))\/(-1) - (156\/(-39) - -7).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -61059300 to the nearest one million.\nAnswer: -61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215 = -2*f - z, 0 = -5*f - 5*z + 74 + 446. What is the remainder when 1220 is divided by f?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 119 and 64634?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s + 4. Let g be i(0). Solve -d + 3*d - 20 = -3*m, -d = -g*m + 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1313304 (base 5) to base 15\nAnswer: -7ad9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1294*a + 346*a + 13120 = 0 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 16 + 0*n - 3*n - 16 + 5*n. Let b(v) = -165*v. Calculate b(c(p)).\nAnswer: -330*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, p: 2, m: 1, h: 1, c: 2}. What is prob of sequence mhcx?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7009\/980 != 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a centimeter in millimeters?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1408)\/4)\/11 + ((-65)\/(-5) - 5).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 4.5, 3.\nAnswer: 0.4, 3, 4.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18306*m = 18146*m + 1280 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.062 and -0.04936.\nAnswer: 0.00306032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*b - 4*o - 74, 3*o + 31 = b. Suppose b = l + l. Find s, given that -2*s**4 + l*s**3 + 21*s**2 + 4 - 20*s - 9*s**4 - 14*s**4 = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15336, -2, -7 in descending order.\nAnswer: 15336, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7034681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.074571 - 19?\nAnswer: -17.925429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 325, 326, 327, 328, 329, 330?\nAnswer: 331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -17 - (18 + (-39 - -26))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7241 + -255?\nAnswer: -7516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -6\/5, -281, 2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 30. What is the remainder when 130 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -p**8\/5040 + p**6\/144 + p**5\/12 + 7*p**2. Let u(y) be the third derivative of b(y). Differentiate u(o) with respect to o.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 7*q**2. Let r(j) = -106*j - 1551. Give r(u(x)).\nAnswer: -742*x**2 - 1551","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-16)*(-15)\/43725*-22?\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15940 = -1103*u + 32592 for u.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/9)\/(5\/30). Let w = -0.0981 - -0.3181. Put w, 0.4, i, -3 in decreasing order.\nAnswer: 0.4, w, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 23276.\nAnswer: 7\/23276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.247 to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 77*d**2 + 3*d - 197*d**2 + 49*d**2 - 163*d**2 - 119*d**2 as c*d + u + m*d**2 and give m.\nAnswer: -353","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*((3 + 2 - 4)*(-203564*i + 203497*i - 43 - 5) + i + i + i).\nAnswer: 128*i + 96","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-1 + 5) - 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/8 of a milligram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/16)\/((-175)\/20 + 9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: d028c (base 15) to base 12\nAnswer: 279243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6313527 (base 8) to base 13.\nAnswer: -4694c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -106416708*q**2 + q + 8844367 wrt q.\nAnswer: -212833416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 724, 780, 770, 694, 552, 344, 70?\n\"Answer: -33*j**2 + 155*j + 602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**3 - 4*g**2 - 2*g - 2. Does 37 divide b(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/1*(5 + -8). What is the units digit of (-38)\/(1 + v + 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 676.5 + -676. Is v <= 323?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - n + 2. Let r be j(3). Let o be ((-4)\/r)\/((-7)\/5). Sort 0, -4\/5, o in descending order.\nAnswer: 0, o, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 2\/365 (b) 0.1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 6*h = -12. Let u(n) = -n - 4. Let d be u(h). Let f(a) = 205*a - 1. Is f(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/792*6*12*10\/(-75)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 6 = 5*k. Let c be -9*(k + -3)*16. Suppose 0 = 4*z - z - c. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 3*d = -2, -r = r - 2*d + 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1597, -598, 2107, 7370, 16043?\n\"Answer: 142*o**3 + o**2 + 2*o - 1742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22876132 times 1?\nAnswer: 22876132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(204) - -2*sqrt(204)*-6 - (sqrt(204)*-2*-3 + sqrt(204) - sqrt(204))))\/((4*(sqrt(900) - sqrt(36)))\/(sqrt(147) + -2*sqrt(147) - sqrt(3))).\nAnswer: -51*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, -6, -1\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1100))*-4*3*3)**2.\nAnswer: -25920*sqrt(11) + 1426896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(700))*-5*-5 + -4*(sqrt(700) + -2*sqrt(700))*4)**2.\nAnswer: 1176700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -425, -1747, -3951, -7037, -11005, -15855?\n\"Answer: -441*i**2 + i + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5267 = 7*v - 6584. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 + -5)*1*4. Suppose 6*t - 4*n = d*t - 18672, 5*n + 46635 = -5*t. Let k = 167863\/18 + t. Find the common denominator of -1\/30 and k.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 4*p**2 - 6*p - 4. Let a(i) = i**3 - i. Let l(f) = 2*a(f) - z(f). Calculate l(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10.71956*-0.5\nAnswer: -5.35978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 66 + -15. Let a = -30 + g. Is a a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 4:49 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6072*b + 4*n = 6073*b + 16, 5*b + 13*b = 16*b - 4*n - 8 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18221 - -19567.1. What is x rounded to the nearest 10?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (56 - 54)\/(2\/531). Suppose -o = -5*l - 3*o + 660, 0 = -4*l - o + c. What are the prime factors of l?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 u when two letters picked without replacement from uzjjuldljvu.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -232850343*j**3 + 116425167*j**3 + 116425163*j**3.\nAnswer: -13*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4 + ((sqrt(684) - (sqrt(684) + -2))**2 - (-1 + sqrt(1539) + sqrt(1539) + sqrt(1539))**2)).\nAnswer: -54*sqrt(19) + 13844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -972*p + 342828 = -8004*p - 114252 for p.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 154251961 and 22683?\nAnswer: 7561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1101001 (base 2) to base 14\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a - 4*a - 51*a**3 + 21*a**3.\nAnswer: -30*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -867*i - 14780 - 2560 = 0 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 50 = -7*p. Let k(o) = o**3 - 11*o**2 + 12*o - 1. Let q be k(p). What is the highest common factor of 171 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 10 = -14*u, -5*u - 7*t = -3*t + 43 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 56 + 12 = -2*b, 5*b + q - 83 = 0. Suppose s + b = 5*s. Solve -2*w - 3*u = 2*w - 4, 3*w + s = -4*u for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318916201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 4*a = 22, -q - 16 + 9 = 4*a for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v + 11. What is the least common multiple of x(-8) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -335 - 526 + 417 - 546 - o.\nAnswer: -o - 990","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 + 37. Let l = 0 - 0.2. Which is the closest to 1\/4? (a) -5 (b) p (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -417 - -380. Let d = 124 - 43. Let c = j + d. What is the smallest common multiple of 20 and c?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.2 - -2.26. Let i = -0.16 + f. Which is the nearest to i? (a) -1\/2 (b) -0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -8*b**2 - 2*b + 3. Let r(v) be the first derivative of -v**3\/3 + v - 657. Calculate d(t) - 6*r(t).\nAnswer: -2*t**2 - 2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 10 = y, -y = 3*q - 1 - 3. Put q, -837, 4, -1 in decreasing order.\nAnswer: 4, q, -1, -837","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzdddizdzzdzzdzddzd. Give prob of picking 3 d.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**4 - 4*f**5 - 2*f**4 + (7*f + 9 - 9)*(4*f - 4*f - 4*f**4) + 2*f**2 + f**5 - 2*f**2.\nAnswer: -31*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-24)*2 - 2\/(-6). Suppose f + 1 - 5 = n. Solve -1 + 21 = -f*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1082 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -96989617 + 96983197.92826. Let g = m - -6420. Let v = g - 0.936. What is v rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -70*a**3 - 12*a**2 - 20*a - 2. Is 10 a factor of s(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o - 6. Let m be i(6). Suppose -3*z - 111 = -4*f + 65, m = -5*f - 3*z + 220. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**6)\/(r**1\/r))**(-48) assuming r is positive.\nAnswer: r**240","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmsx when four letters picked without replacement from {s: 2, m: 6, x: 4}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 11. Suppose -3*t + 7 = 1. Let l = t + p. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 85957.999945379 - 85958. Round r to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from awwgwwgwaowwwgwoogoa?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 12 = 4*x, -2*x = -241*g + 235*g - 6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 divided by -6?\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12032245 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z. Let w(i) = 265*i. Calculate w(o(t)).\nAnswer: -265*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from piphcidlh. Give prob of picking 1 p and 1 i.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of 0*l - 1\/30*l**5 - 1\/6*l**4 + 0*l**3 + 0 + l**2. Let p(v) = 0. Calculate v.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30867 + -12291. What is the ten thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*u - 1127 + 17802 = -136*u + 943 for u.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mwwwwmwwww. What is prob of picking 1 m and 2 w?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 5*n**2. Let w(y) be the second derivative of 0*y**2 - 2*y + 1\/6*y**4 + 0*y**3 + 0. What is z(w(l))?\nAnswer: 20*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 15, 123, 395, 903, 1719, 2915, 4563, 6735?\n\"Answer: 12*y**3 + 10*y**2 - 6*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - m**2 + 1)*(-3 - 1 + 2)*(-5*m - m + 54*m).\nAnswer: 96*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 243 - 222. Let d be 3\/((1 + 0)*-1). Sort d, c, -4 in decreasing order.\nAnswer: c, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 219 and 281269.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 3*u - 0*u - 65, -5*h - 85 = -u. Let g be (h - -2)*2\/(-2). Solve 0 = -4*a + a - l + g, 2*a = -2*l + 16 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2023 and 11732.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 = -3*d + 5*d. Suppose u - 2*v = d, 2*v - 30 = -u + 44. Suppose -2*t + 2*q = -46, -3*q + 2*q = -4*t + u. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*l - 40 + 737 + 47 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 123934 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h**2 - 3*h - 2. Let z be r(-2). Find the common denominator of 81\/(-12)*z\/3 and -65\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3129.\nAnswer: 3, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -677 + 2?\nAnswer: -675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129651 + 56017 = 6595*b + 36*b for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*r**4\/11 + 202*r**3\/11 + 274*r**2\/11 - 392*r\/11 - 72\/11 = 0. Calculate r.\nAnswer: -2, -1\/6, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of 0 - 1\/4*g**4 + 0*g**3 + 4*g + 0*g**2. Let h(m) = m. Calculate r(h(z)).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 5*y**2 + 5*y + 1. Let i be d(-6). Suppose 5*p + 20 = 15. Put 2, i, p in increasing order.\nAnswer: p, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -7. Let b = 5 - 0. Let s be -30*(4\/b)\/(-2). Calculate the greatest common divisor of s and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in 2\/13, 2027, -0.2, -4\/5, -4\/865?\nAnswer: -4\/865","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (96\/(-704) + (-3556)\/(-264))*3\/(-2)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*j = -502, -3*o - 22 = j - 379. Calculate the remainder when 431 is divided by o.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 476790 + 139*h + h**2 - 476790.\nAnswer: h**2 + 139*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -218820000 rounded to the nearest 1000000?\nAnswer: -219000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1175530 and 83030.\nAnswer: 22335070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -154, -595, -1322, -2329, -3610, -5159, -6970, -9037?\nAnswer: -11354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17.1 - -17.17. Sort 0, -4\/3, g, -2 in decreasing order.\nAnswer: g, 0, -4\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 363869, 363845, 363817, 363785, 363749, 363709, 363665?\n\"Answer: -2*w**2 - 18*w + 363889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-4)*8\/30*-6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z**2 - 122*z - 2*z**2 - 46*z as y*z**2 + h + u*z and give u.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -182 + -13aa61?\nAnswer: -13b023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170922 is divided by 179?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 78.4589ug?\nAnswer: 78458.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -94*p**2 - 4*p + 5. Let g(l) = -96*l**2 - 8*l + 6. Give 3*g(f) - 4*k(f).\nAnswer: 88*f**2 - 8*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5)\/6)\/((-3)\/18) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 + -265.69311.\nAnswer: -266.39311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 260 + -210.4. Let m = x + -49. Suppose 4*k - 5*q - 1 = 0, 2 + 4 = 2*q. Which is the third smallest value? (a) m (b) 1\/4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -1, 1, 5394, -0.2.\nAnswer: -11, -1, -0.2, 1, 5394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -4*j + 6, -83*t = -87*t + 3*j - 32 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(288) - (sqrt(288)*-2 - sqrt(288))) - (sqrt(288) + ((sqrt(288) + 1 - sqrt(288))*-3 - sqrt(288))**2).\nAnswer: -297 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 + -88\/3. Let z be 1 + (-27)\/(-21)*-1. Let o = -0.9 + -3.1. Which is the closest to q? (a) z (b) o (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -22?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1741343 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - 2*u + 6. Suppose u*q - 7 = -1. Let t be 1\/6*(-9)\/q. Which is the biggest value? (a) 1\/7 (b) t (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 4. Let m = g + -13. Let r(t) = -2*t**3 - 14*t**2 - 25*t + 13. Let b(x) = x**3 + 7*x**2 + 13*x - 7. Let z(l) = -11*b(l) - 6*r(l). What is z(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15279?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -8317\nAnswer: 2\/8317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*m + 34*m + 25*m + 22*m - 48*m.\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 139.4 + -139.6. Let v = -2 - -3. Let o = 0.2 - 0.6. What is the smallest value in y, v, 5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3854878940 to the nearest integer?\nAnswer: 1568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 17292900 to the nearest 100000.\nAnswer: 17300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1517 * -96432\nAnswer: 146287344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 12062.\nAnswer: 0, 3, 12062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 43*z + 141. Let t be y(3). Put 1, 54, 4, t in descending order.\nAnswer: 54, 4, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 6*t + 665. Let w be g(23). Let q(h) = -h**2 + h. Let a(v) = -4*v**2 + 2*v - 8. Determine w*q(r) + a(r).\nAnswer: -2*r**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -q**4\/2 - 5*q**2\/2 - 23*q - 721. Let p(z) = z**3 + 2*z + 11. What is 5*p(h) + 2*x(h)?\nAnswer: h**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(3\/8)*j)\/j)**(3\/8) assuming j is positive.\nAnswer: j**(9\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 19564 + 6 + (3 - 5). What is the units digit of f\/96 + 2\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2909841 to the nearest integer?\nAnswer: 1706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 252\/(-35)*3\/(-8). Let c = u + -167\/60. Which is smaller: c or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - a + 5 + 17 = 0, -5*a = -3*m - 22 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -8*l**2 + 716*l - 10713. Calculate o(19).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2335*z = -2333*z + 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l + 61. What is the remainder when 145 is divided by c(-12)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*u - 135, 5*u + 114 = 2*l + 5. Is 12 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-5)*z\/(z\/z**3))**(-2\/19) assuming z is positive.\nAnswer: z**(-18\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180*r + 176*r - v + 19 = 0, -13 = -r - 3*v. Solve 2*o - 10 = 2*m, o + m + 13 = -r*m for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -43, -169, -419, -835, -1459, -2333?\nAnswer: -3499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -61\/7*m + 12\/7*m**3 + 30\/7 + 1\/7*m**5 + 26\/7*m**2 - 8\/7*m**4 = 0. What is m?\nAnswer: -2, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 56\/140 + 8\/(-10)*773. Let r = 1414 + b. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1032533 - -33600?\nAnswer: 1066433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 less than 8540?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i**2 - 3*i - 2 - 3*i**2 - 69*i**3 + 67*i**3. What is the tens digit of a(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 192953968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 50 = 2*r. Let c = 19 + r. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227820?\nAnswer: 2, 3, 5, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.0106 * -0.1\nAnswer: -0.00106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 302329348 to the power of 1\/5, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 26\/5 of a gram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*3\/12 - (-3)\/(-4). Let h = n - -6. Suppose 3*b + h*f = 95, 62 = 2*b + 3*f - f. What is the highest common factor of b and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 102 divided by 7.\nAnswer: 102\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 3 + (-12 - -3) + (-8 - -9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 13411\/6579?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 36*t**2 - t + 13. Determine i(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 255 and 357816?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 158, 329, 554, 827, 1142, 1493?\nAnswer: 1874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(1\/3)*y*y*y**(-1\/27))\/((y**(-9)*y)\/y**(-2\/49)))**(-1\/26) assuming y is positive.\nAnswer: y**(-8107\/17199)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -7. Let u = -3 + s. Which is the closest to u? (a) -1 (b) -5 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 - 43*j + 178. Give y(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 136 and 48536.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/((u\/(u\/u**(1\/2))*u)\/u)))**45)**(-3\/16) assuming u is positive.\nAnswer: u**(-135\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -2.7. Let g = -437 + 439. Which is the closest to -2? (a) 0.1 (b) g (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*f*i**2 + 181751*f*i + 5491*f + i**2 - 2*i - 11 wrt i.\nAnswer: -4*f*i + 181751*f + 2*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 28012960066 and 3.23?\nAnswer: 28012960062.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -414.1879 times 0.2\nAnswer: -82.83758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 12:08 PM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.56 + 3.36. What is the nearest to -3 in r, 0, 14?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y + 1. Let i(c) = -4402*c**2. Determine i(w(p)).\nAnswer: -39618*p**2 + 26412*p - 4402","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -58*v - 2. Let r be k(-2). Suppose l - 3 = 2. Suppose h + 3*w = -w + 19, l*h - 95 = -5*w. Calculate the greatest common divisor of r and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 o when three letters picked without replacement from {b: 4, o: 3, t: 6, w: 4}?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) 0.02 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/3)\/a)**(-1\/2)*(a*a*a**(-5)\/a)\/a**3)\/((a**1)**30*(a\/(a**(-1\/3)*a))**(-2\/13)) assuming a is positive.\nAnswer: a**(-1415\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u + 1. Let w(r) = r**2 - 3*r + 8. Let c(a) = 6*p(a) - w(a). Let t = 5 + -1. Let o = 0 - t. Give c(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 321 - 119*m + 112*m - 222. What is p(12)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*o**6 - 1721*o**5 + 793703*o**2.\nAnswer: 240*o**3 - 103260*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4370307?\nAnswer: 3, 59, 24691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -6*i**3 + 5*i**2 - i. What is d(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 + -31. Let f(c) = -30*c**2 - 4*c - 5. Let w be f(u). Let s = 219 + w. Is s a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 269882999 to the nearest integer?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + n + 1)*(4 + 1 - 6) + 0*n + 6*n - 3*n)*(-3*n + 8*n + 2*n + (-2 + 2 - 2)*(1 - 1 + 2*n) - 1 + 1 - 3*n - 3 + 3 - 3*n).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssiilii. Give prob of sequence ii.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419 is divided by -16*(330\/48 - 7) - -8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122333 is divided by 621.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -12*g + 12. Calculate y(-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.3745ng to kilograms.\nAnswer: 0.0000000000513745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*1)\/(440\/25 - 18) - 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82091 divided by -2?\nAnswer: 82091\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31 + 26 + 10*b - 59 to o + z*b and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/11, 575, -3, 3.4?\nAnswer: 575","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1586 and 91100206.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -72796 - 2\nAnswer: -72798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 3*a**2 + 8*a + 6. Give u(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -11*y**2 - 3*y - 5. What is k(-2)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172117 is divided by 2358.\nAnswer: 2341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -70 (b) 6\/7 (c) -5 (d) 0.2 (e) -1\/75 (f) -0.13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23.45 + 23.45000091. Round z to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-6))\/(-2)*(-18)\/6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 100 + 20. Suppose i = w - 0*w. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qze when three letters picked without replacement from zzyqnem.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 277.5 - 223. Let n = j - 56. Round n to one decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -169270, -169853, -170436, -171019?\nAnswer: -171602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -56.95 and -132030169.\nAnswer: -132030225.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 0 - 10 - -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -115 or -169?\nAnswer: -115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -29\/13, 5, -44, -0.5, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (h**2 + 0*h**2 - 2*h**2)*(-4*h**2 + 0*h**2 + 2*h**2) - 3*h**4 + 38*h**4 + 15*h**4 as x*h**4 + v + u*h**2 + d*h**3 + z*h and give x.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y + 78. Let a(l) be the third derivative of l**4\/24 - 338*l**2 + 2*l. What is b(a(u))?\nAnswer: 3*u + 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -364*p - 77*p = 7938 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 7*a**2 + 7*a - 5. Let n be x(5). Let h be 5\/n + (-2)\/(-8). Calculate the common denominator of h + -5*34\/(-44) and -43\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34008, 68007, 101992, 135957, 169896, 203803, 237672?\nAnswer: 271497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1408) + sqrt(1408)*2)\/(sqrt(110)\/(sqrt(60)\/sqrt(6))) + 3 + sqrt(162) + 0 + (sqrt(162) + 0 + 0)**2.\nAnswer: 33*sqrt(2) + 165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g - 43 - 49 + 92 - 3*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2\/3*d**4 + 0*d - 2\/3*d**5 + 0 - 8\/3*d**2 + 8\/3*d**3 = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 19, v: 1}. Give prob of sequence ff.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 4 = -6*i. Suppose -a - 4*x = 0, 4*a - 51 = -i*x + 3*x. Solve -5*g = -2*g + a for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88375 divided by -512.\nAnswer: -88375\/512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) 3\/10 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 37940 and 2710.\nAnswer: 37940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 105839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 576 and 29688?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2154 = -4*x, 3*h + h - 2*x = 2872. Suppose -9*n = h - 115. Let i = n - -69. Is 13 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 8*m**2 - 3 - m**2 - 6*m**2. What is the smallest common multiple of g(5) and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 54 + 504 = 0. Suppose -7*r + 10*r = q - 8, r + 24 = -5*q. Sort r, b, 2 in descending order.\nAnswer: 2, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*g + 3*g = 29, -3*z = -3*g + 111. Let d be z*(-1)\/(-8) + (-8)\/64. Put d, 4, 3 in descending order.\nAnswer: 4, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 79 = -5*n. What is the remainder when n is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -444 = -10*k + 106. Calculate the highest common factor of 5 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 509268870 rounded to the nearest one hundred thousand?\nAnswer: 509300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 44*j**2 + 127*j + 171. Calculate y(-41).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 401\nAnswer: 1\/401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4*r + 12. Give p(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -780 rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -394, -3546, -6698, -9850?\nAnswer: -13002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 92 - (-3)\/6*-8. Let t = 95 - y. Let q(m) = 6*m**2 - 3*m - 2. Let b be q(-2). What is the highest common factor of b and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 3. Let z be 5 - 1*0\/u. Suppose -z*q + 1 = -59. What is the highest common divisor of q and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2 = 0, 5*f + 24 - 3 = 2*w. Let l = 67 - 72. Let u(o) = -o**3 - 3*o**2 + 8*o + 15. Let j be u(l). Solve -3*z + w*z = -j for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -27*r - 2\/25*r**5 - 13\/30*r**4 - 1 + 9\/5*r**2 + 0*r**3. Determine l, given that t(l) = 0.\nAnswer: -3, -1, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -71*u**5\/12 - u**4\/8 - u**3\/2 + 18*u**2 + 6. Let w be m(2). Round w to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 8:03 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -n**4\/12 + 13*n**3\/6 - 3*n**2 - 2*n. Let o be z(9). Let k be 18\/o + (-6)\/10. Solve k = b + b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -46254?\nAnswer: -46246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5*s + s**2 - 5 + 4 - s**2 + s**2. Let k be n(-5). Let r be -42*k\/(3\/6). What is the highest common factor of 12 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 12 = -f + 7, 41 = 3*c + 4*f. Suppose -4*w = -5 - c. Suppose 0*h + w*h - 6 = 0. Is 2 >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p**3 + 16*p**2 + 27*p + 3. Let n(u) = 2*u**3 + 17*u**2 + 26*u + 4. Let b(z) = 4*n(z) - 3*y(z). Is b(18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2)\/i)\/i)**26 assuming i is positive.\nAnswer: i**(-104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 7 + 2. List the prime factors of f*1*(7 - 6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 15 - 9. Let l(r) = -4*r + 13*r**f + 0*r**2 - 11*r**2. What is the tens digit of l(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17742996 by -2957166.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3808228 to the power of 1\/3, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 152792106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 395 and 1159250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*w - 10 = 0, 4*w = -2*o + 28. Suppose -l + 9021 = -o*y, -6*l - 2*y + 45324 = -8854. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24291 divided by -24291?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -5, 1, -6 in descending order.\nAnswer: 17, 1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 9. Suppose -4*d + 2 = 6. Calculate the remainder when b is divided by (10\/25)\/(d\/(-5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7920) - (sqrt(7920) - (4*sqrt(7920) - sqrt(7920))))*5)\/(sqrt(180) - ((sqrt(180) + sqrt(180)*5)*5 - sqrt(180))).\nAnswer: -15*sqrt(11)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.7 - 14.3. Which is the closest to 2? (a) -3 (b) 3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 50888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -37*f**7\/3 + 445*f**3\/2 - 1688*f**2. Differentiate q(t) wrt t.\nAnswer: -10360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 - 0.1. Let l = -2860 + 2859.8. Sort o, 13, l in descending order.\nAnswer: 13, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1591 + -702. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 2*t**2 + 1. Let i(z) = -419*z**3 + 8*z**2 + z + 4. Determine i(p) - 4*r(p).\nAnswer: -415*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.191 - 0.21. Let a = -395026.98099828 - -395027. Let w = a + y. Round w to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, u: 2, q: 4}. Give prob of picking 2 q.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 540809723?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -24129228 take away -14180?\nAnswer: -24115048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -3*t**2\/2 - 9. Let y(a) = -2*a. What is s(y(p))?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 6*p - 76. Suppose -4*y = -2*h - 6 - 12, 3 = -y - h. Suppose -y*m = 3*m - 50. What is the remainder when p is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - 19 - (-3 + -27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 - 2)*(-20*v - 12*v - 73*v)*(-v + 0*v + 2*v + v**2 + 2) to q*v**3 + z + y*v**2 + n*v and give n.\nAnswer: 1260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000011411 to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3735159 to the power of 1\/3, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 41874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.6 + -3.765. Let q = f + 0.1235. Round q to 3 decimal places.\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 14. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6877 divided by -13.\nAnswer: -529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4170?\nAnswer: 2, 3, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000164945789 rounded to seven decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 + l - 6. Let g be v(2). What is the highest common divisor of g and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (-1560)\/(-192) - -4) + 9\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 8*u + 88 = 0. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 28*h + 478. Determine y(-8).\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2\/i*(i**(-1\/10)\/i)\/i*i)\/((i\/(i\/(i\/i**(-3\/7))))\/i*(i*i**(-3))\/i*i) assuming i is positive.\nAnswer: i**(103\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - (sqrt(17) + sqrt(425) + 2)) + -1 + sqrt(17) + sqrt(17)*1 + -3 + (-1*sqrt(612) - -2*sqrt(136)\/sqrt(8)))**2*1.\nAnswer: 84*sqrt(17) + 869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v\/(v*v*v*v*v**3*v)*v))\/(v\/((v*v**(-16))\/v)) assuming v is positive.\nAnswer: v**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 9:44 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(84)*-5*-2*2)\/(3*(sqrt(972) - (sqrt(972) - 1*sqrt(972))) - -3*(2*sqrt(588) - sqrt(12))).\nAnswer: 20*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.7329 decades in millennia?\nAnswer: 0.707329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.310357? (a) 0.01 (b) -4 (c) -0.28 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1\/(-2) + 1083\/38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 17, g: 2}. Give prob of sequence xg.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/11)\/(p\/p**(2\/11)))\/(p\/(p\/((p**(-6\/5)*p)\/p*p*p*p))*p*p**(-2)))\/(p**(4\/7)*p*p\/((p**(-1)\/p)\/p))**(4\/3) assuming p is positive.\nAnswer: p**(-3413\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*h**2 + 1 - 2*h**4 + 3*h**4 + 2*h - 39*h**2 + 0*h - 3*h**4 to the form t*h**3 + y*h**2 + c*h**4 + u*h + g and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, g: 1, s: 1, i: 1, v: 1}. Give prob of sequence ivg.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/15)*c*c*c*c**(-1\/9))\/(c*c\/(c\/c**(-3))*c\/c**0) assuming c is positive.\nAnswer: c**(169\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-80)\/160 - ((-78)\/20 + 1)\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 3*o + 2*k + 9, 3*k = -o + 3. Suppose 9 = a - o*f, 0 = -3*a - 5*f + 6 + 7. What is the tens digit of 56 + 8\/a*-3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 12:15 AM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -m**6\/10 - 21*m**5\/10 - 61*m**4\/4 - 42*m**3 - 54*m**2 + 5*m. Factor k(q).\nAnswer: -3*(q + 1)**2*(q + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 353*u**3 + 309*u - 795*u**3 - 3*u**2 - 460*u**3 + 2*u**2 wrt u.\nAnswer: -5412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from myammmymramqqq. Give prob of sequence ymqr.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 110 and 2103310?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1595\/203*1 - 18\/21\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004593609 to five decimal places.\nAnswer: 0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -19530 and -19530 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -29 + 0*a + 5\/2*a**2. Let x(g) = 26*g. Give x(r(b)).\nAnswer: 130*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from voeevobvooeob. What is prob of sequence oo?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (200\/(-15))\/((-2)\/9). Suppose 6*c - 135 = 9. Calculate the highest common divisor of q and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 807713\/344850 + -1\/9075. Let j = -152243\/9 + 16922. Calculate the common denominator of o and j.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2857507 is divided by 490.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 7 - (-13 - -3)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/52976 and -7\/3944820.\nAnswer: 110454960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*c**2 + 18*c**2 + 17*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 624686134?\nAnswer: 2, 619, 504593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -72 (base 14) to base 3\nAnswer: -10201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -377*(-6 - 5\/(-1)).\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -o**6\/210 + o**5\/35 + o**4\/7 + o - 2. Solve w(h) = 0.\nAnswer: -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/(-4))\/(5655\/754)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 19*n + 33 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*3\/(-6)*-17. Let k = h - 13. Let t be 18\/3 - k\/2. Sort t, 6, 4\/5.\nAnswer: 4\/5, t, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 129 = 43. Suppose -106 + n = 3*p. Is -166*(p\/6 + 3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4a3 - 15a?\nAnswer: -652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 11. Let a be -5 + 1 + (-6)\/3. What is the remainder when a\/(4\/(-12)*2) - 3 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 2*l + 4*o, 2*o - 30 = -75*l + 70*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 38?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1198462 and 66.\nAnswer: 39549246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06 - 965964290756.\nAnswer: -965964290755.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -12011222220 (base 3) in base 2?\nAnswer: -11000111010101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**3 - 170*u**2 + 345*u + 338. What is the remainder when d(-87) is divided by 170?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - t**2 + 2. Let a be w(1). Suppose -3*c - d - d + 87 = 0, -5*d = -2*c + 39. Suppose -x + 3*x + 30 = a*m, -5*x = -m + c. Solve n + m = 4*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50124231 to the power of 1\/4, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2599*a + 1542 - 5099 + 1075 = 5315 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2357355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2259 (base 10) to base 5.\nAnswer: 33014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 348 and 429612?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1423 + 2847\/2. Which is greater: y or 1\/336?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -7 + 16 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g + 1. Let o(t) = -t - 10. Calculate o(z) + 4*u(z).\nAnswer: -5*z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.784 and 0.2?\nAnswer: 0.584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98120 divided by -5.\nAnswer: -19624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 21 + 20 = -18*c. Let d(z) = z**2 + 3*z + 4. Determine d(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 291 and -450.98?\nAnswer: -131235.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 3*z**7\/14 + z**3\/3 - 10*z. Find the second derivative of l(x) wrt x.\nAnswer: 180*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4416 and 135.\nAnswer: 198720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 57912554 to the power of 1\/2, to the nearest integer?\nAnswer: 7610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (4 - (-3 - (-1 - 8)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u - 2. Suppose 2*m = 0, m = 2*q + q. Let r be h(q). Let i(v) = 3*v**2 - 2. Let x be i(r). Solve c - 5*f - x = 6*c, 1 = -5*c + 4*f for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**3 - 3*p**3 + p**3 + (0*p**2 - p**2 + 2*p**2)*(-2*p + 3*p - 5*p) + p**3 + p - p + p**2 - p**2 - p**3.\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 7:01 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 397, 790, 1171, 1534, 1873, 2182, 2455?\n\"Answer: -x**3 + 400*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 31 = -3*x + w, 4*w = x - 8. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1254919 to the nearest integer?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of -b**8\/2016 - 5*b**7\/252 - 23*b**6\/360 + b**5\/180 + 47*b**4\/144 + 23*b**3\/36 + 2*b**2 + 231. Let k(m) = 0. Calculate m.\nAnswer: -23, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6332*s**3 - 103*s**2 - 1 wrt s?\nAnswer: -37992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15*j - 29 + 5 + 22)*(5*j**2 - j**2 - 5*j**2) to the form s*j**3 + h*j**2 + a*j + l and give s.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2527302229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 932 divide 544805260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u**5 + 304*u**4 + 6180*u**3 + 15912*u**2 = 0. What is u?\nAnswer: -39, -34, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -131*z**2 - 4*z + 3. Let k(x) = 130*x**2 + 3*x - 2. Let n(o) = 3*a(o) + 4*k(o). Let t be n(2). Suppose 5*f = 26 + t. List the prime factors of f.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14962\/3 - -4997. Which is the smallest value? (a) -5 (b) 3 (c) -9 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 104 - 48. What is the highest common factor of 8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, c: 3}. What is prob of sequence cc?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8151, -16306, -24471, -32652, -40855, -49086, -57351, -65656?\n\"Answer: -w**3 + w**2 - 8151*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -32*y - 84. Let g be v(-6). Let h = g + -104. Suppose -166 = -r + h*i + 73, i - 939 = -4*r. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 92535968 and 511.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 0*t**2 + 2*t**2 - 70246*t**3 + 4*t**4 + 70248*t**3 - 4*t**2 in the form j*t + l + q*t**4 + b*t**3 + m*t**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/1*51\/(-255).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1651436 and 8.\nAnswer: 3302872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -5*i + 1 - 0, 2*i - 4*y = 10. Let w = 558 - 556. Put w, i, 0 in increasing order.\nAnswer: i, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (13 + -1)*(78\/9 + -6). Let h = 56 - n. What is the lowest common multiple of 9 and h?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*12\/16*(-8)\/3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 605423041 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7791.489cm in meters?\nAnswer: 77.91489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 8*y + 8. Let v be m(8). Let h be 34\/v + (-3)\/12. Let a = 10 - h. What is the remainder when 16 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/13165 and 41\/640.\nAnswer: 1685120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1051.8266094492 from -0.4.\nAnswer: -1052.2266094492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**5 - 348*d**4 + 8392*d**3 + 476874756*d?\nAnswer: -40*d**3 - 4176*d**2 + 50352*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, 2\/5, -10\/9, 0, 1\/11, 4\/61?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3942 and 582?\nAnswer: 382374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -37. Calculate the smallest common multiple of 10 and j.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46996795?\nAnswer: 5, 1297, 7247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**2 - 422*k - 2464. Determine j(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 5*f = -35, 15*i - 22*i + 4*f - 27 = -6*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2035630?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(224))\/((sqrt(224)\/(sqrt(4)*-2))\/sqrt(7)).\nAnswer: -24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31692 + 25711.8. Round f to the nearest ten.\nAnswer: -5980","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 4*n**2 + 2*n. Let t be w(-2). Let y = 12 - t. Suppose 3*z + 1 = -4*x - 3, -3*z - 5*x = y. Is z bigger than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 5:54 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 33128, 66253, 99378, 132503, 165628, 198753?\n\"Answer: 33125*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10950 a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 15*a**2. Let u(l) = l + 584. Determine u(t(z)).\nAnswer: 15*z**2 + 584","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22583819?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (0 - (-9 + 10))) + -2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 6*r - 7. Let w be v(3). Let l(t) = 0*t**2 - 2*t**2 + 5*t**w. Let g(z) = -5*z. Determine g(l(f)).\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -91*v + 5. Let m be r(-3). Is 272 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*z - 4. Suppose 0 = -2*r - z - 6. Let x be (73 - (r + 3)) + -1. What is x rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*i + 4. Let s be ((-65)\/22 - i)*(-30)\/(-5). What is the biggest value in 0.3, s, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -19. What is the greatest common factor of 140 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2741*t - 154600 - 149710 = 151*t - 86750 for t.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u = 9*u + h - 18, 0 = 3*u + 9*h - 117 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-672)*8*((-30)\/6)\/(-10).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -3\/2, -3.55, -3\/13, -5\/4?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 3 = -v, 6451*v - 3230*v - 3225*v + 2 = -3*r - 16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1, -4, 0.\nAnswer: -4, -1, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 4*q - 8, 0*r - q = r - 17. Let x = r + -9. What is the third derivative of 22*v**3 - 4*v**2 + 3*v**2 - 28*v**x wrt v?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1033 divided by 22\nAnswer: -1033\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nssnsjnnjjn. Give prob of picking 1 n and 1 j.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -166518 take away 195.5730196?\nAnswer: -166713.5730196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 247519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8380 by 8380.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 7 = 4. Let l(o) = 2*o**2 + 5*o - 4. Let d be l(-4). Does 9 divide 18\/(t\/((-12)\/d))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -894.758 to 0 dps.\nAnswer: -895","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f - 2. Let v = -3 - -6. Let w be a(v). Suppose 2*c + n = -0*c, 5*n = -5*c - w. Calculate the greatest common divisor of 3 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -61*w - 68*w + 226*w + 35*w - 4*w**2 + 41 - 289.\nAnswer: -4*(w - 31)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 62965544 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2606.664 - 0.0271\nAnswer: -2606.6911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of 4*d**3\/3 - 6*d**2 + 8*d - 65. Factor o(w).\nAnswer: 4*(w - 2)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3 + 2768*f**2 - 497652*f + 6435576.\nAnswer: -4*(f - 339)**2*(f - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a meter in centimeters?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140369*n - 140369*n + 29*n**2.\nAnswer: 29*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 9\/211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4, b - 5*b - 2*g = -56. Let l be 5\/(-15)*(-93)\/155 + (-148)\/(-10). Which is smaller: b or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -3*j - 32, 0 = -2*a - 4*j + 2*j + 2. Suppose 291 - 76 = -a*b. Do -34 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*x - 1 + 1.\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -6*b - 1. Let m be f(-1). Suppose -10195 = -j + 5*g, -3*g + 20405 = 2*j + 2*g. Suppose 2*o - m*o + j = 0. What is o rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2. Suppose 0 = -5*j + j + 68. Suppose -5*z - p - p = -j, 2*z - 3*p - 3 = 0. Let y(a) = -2*a**2 + 4*a**2 - z*a**2. What is b(y(k))?\nAnswer: -k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(26)\/sqrt(2) - sqrt(1573)*-2)**2.\nAnswer: 4212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.216 - 0.044. Put 1, 0.1, s in decreasing order.\nAnswer: 1, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/4 (b) -0.09 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, b: 3}. Give prob of sequence mb.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 5:18 PM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*q + 6*q + 21. Suppose q*p - 208 = p. List the prime factors of p.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -68 - -65. Which is the closest to 0.3? (a) n (b) -12 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20090 - 20086. What is the second biggest value in -4, y, 1, 66?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 2:06 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -220 - -221.54. Round w to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*f + 77 - 13. Let h = 11 + f. Solve 2*d + 17 = h*s, 4*d - 14 = 3*d - 3*s for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11487, -45872, -103159, -183330, -286367, -412252?\n\"Answer: 3*l**3 - 11469*l**2 + l - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9280 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1469\/8 + 184. Let z = 62 - 188\/3. What is the second smallest value in 2\/5, z, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11986 and 1199522.\nAnswer: 922","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 22122031120 (base 4) to base 9\nAnswer: 5118171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 602891?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-8)\/15 + 7\/21\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, b: 5}. Give prob of picking 1 b and 2 t.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 2*c**2 - c)*(91 - 33 - 23) + 4*c**2 - 2*c**2 - 4*c**2 + (-2*c - 3*c + 4*c)*(c - 4 + 4) + 0*c**2 + 0*c**2 - 2*c**2.\nAnswer: -75*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i**2 - 54370*i - 598550. Give q(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + (-36)\/15 - 152\/(-5). Suppose 58 = 5*s + 3*o, 0*o = 3*s - 2*o - w. Let p(v) = -v**3 + 10*v**2 + 12*v + 9. What are the prime factors of p(s)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25938592 to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46 + 11 + 3*w**2 - 5*w**2 + 19 + 8*w**2 to f + t*w**2 + k*w and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2183.1 + 2183. What is the nearest to -0.3 in g, -9, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 208153.2 hours to days.\nAnswer: 8673.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/20 - (-25 + (-19807)\/3045 + 30)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112340540 (base 6) in base 10?\nAnswer: 2081580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p**3 + 6*p**2 + 2*p + 5. Let i(f) = -8*f + 101. Let k be i(12). Does 27 divide l(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002973004 rounded to 6 dps?\nAnswer: -0.000297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 7*t**2 - 7*t - 3. Let y be g(-6). Let p(q) = 12*q + 2. Let i be p(y). Let b be (-2)\/8 - i\/(-56). Is b at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295106767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (58\/(-12))\/29*6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -171381?\nAnswer: 171375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 5*m + 54. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31123 plus 3.9?\nAnswer: -31119.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (15\/3 + -3)\/(-2). Let w be 34 - (-3 + (-6)\/x). Suppose 2*r + 19 = w. Which is bigger: 7 or r?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + 7*(-33)\/(-21). Let a(o) = 0*o**2 + 0*o**2 - 8*o + o**2. What is a(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61951 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 253965.2 millilitres?\nAnswer: 253.9652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.6 - -3. Suppose 9554 = -109*g + 9118. Which is the nearest to 2\/3? (a) -6 (b) l (c) 0.1 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 15, -4*h - 2*r = 3 - 33 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**5\/6 - 5*b**4\/3 + 17*b**3\/6 - 4*b**2\/3.\nAnswer: b**2*(b - 8)*(b - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30d06 (base 16) to base 6.\nAnswer: 4141354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 0, -11*w + 12*w - 2 = 4*i for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 6*b - 4. Let g(c) = -c**2 - c + 2. Let u be g(-3). Let q = 8 + u. Is t(q) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 71*d**4\/4 - 5*d**3\/3 + 8*d + 102. Find the third derivative of u(o) wrt o.\nAnswer: 426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - (2\/(-3))\/(24\/91548). What is the highest common divisor of i and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -455211*q**4 + 23*q - 6798 wrt q?\nAnswer: -5462532*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.29 - 4.1. Let i be 19\/76 - 20\/(-48). Sort s, i, 4.\nAnswer: s, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4*k = 3*u + 216, 634 = 3*k - 2*u. Suppose 0 = 2*n - 7*n + k. Suppose 0 = -4*a + 292 + 376. What is the remainder when a is divided by n?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o + 37. What is the tens digit of l(-21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6237 - -6978. What is the highest common factor of p and 156?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 233 (base 4) to base 7\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/3 + 166195*l\/3 - 553950.\nAnswer: -(l - 166185)*(l - 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 200*r**3 - 2*r**2 - 3*r - 5. Let t(p) = -2*p - 3. Determine 2*t(d) - x(d).\nAnswer: -200*d**3 + 2*d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*g + 33*g = 450. Calculate the common denominator of 7\/10 and 1 - (685\/g + -2).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 162*j**3*s**5 + 3*j**3*s**2 + 2*j*s**6 - 18*j*s**2 wrt s.\nAnswer: 9720*j**3*s**2 + 240*j*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*o**2 - 46*o**2 - 36*o**2 + 168*o**3 + 167*o**2 - 40*o**2 as x*o**2 + m*o + j + h*o**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 257.2 and 0.2?\nAnswer: 51.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/11 (b) 2\/9 (c) -2 (d) -150\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3433, -28031, -94783, -224767, -439061?\n\"Answer: -3513*r**3 + r**2 - 10*r + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*t + 27*t + 21*t + 3*t + 8*t - 3*t + (2*t + 0*t - t)*(2 - 1 - 2) - 4*t + t + t - 2*t - 2*t + 2*t - 5*t - 3*t + 3*t.\nAnswer: 65*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 12031331230013?\nAnswer: 12031331230030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 121572 to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3845619 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 44454 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 44, 99, 156, 215?\n\"Answer: s**2 + 52*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43726 + 7.551302?\nAnswer: 43733.551302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 a when two letters picked without replacement from {a: 2, b: 3, m: 2, j: 1, x: 4, e: 2}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*h = 55*h - 1860 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -928*i**2 - 930*i**2 + 2*i + 2820*i**2 - 971*i**2 - 2*i.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13a14 - 185?\nAnswer: -13b99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6166, 6097, 6028?\n\"Answer: -69*k + 6235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10.2301 and -0.241.\nAnswer: 2.4654541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -355.09 and -14?\nAnswer: 4971.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 261536?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of m**4\/12 + 2*m**3\/3 + 3*m**2\/2 - 2*m - 1. Let b(d) be the first derivative of g(d). Calculate b(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 541246?\nAnswer: 2, 17, 15919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m. Let b be o(4). Solve b*l = -l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 11 = -3*g - 3*c, -2*g = 5*c + 19. Let i = -4 - -18. Suppose 0 = s - 2*s + j + 6, -g*s - i = 5*j. Solve l - s = -0*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 23.8. Which is the second smallest value? (a) 1 (b) -0.5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -71, -1 in ascending order.\nAnswer: -71, -26, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12030 is divided by 10545.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -900 + 204*k + 900 + (6 + 4*k - 6)*(0 - 1 + 3).\nAnswer: 212*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/8 (b) -12 (c) 0.02 (d) 3 (e) 5 (f) 28 (g) 0.57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (3 + 0 - (-10 + 28 + -3))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2866 - -2872. Suppose 0 = -0*b - b + 5. Suppose 4 = r, n + b*r - 19 = 2*n. What is the lowest common multiple of s and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 2*g - 2*g + (-g - g + 0*g)*(1 - 1 + 1))*(-2700 - 3*g + 2715 - 48*g).\nAnswer: 153*g**2 - 45*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-29)\/(-28) - (4455\/693)\/9.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-111)\/185*-160)\/3.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2284 = -5*r + r + 2*p, 3*p - 1138 = 2*r. Let j = r + 320. Let f be (-32000)\/(j\/125 + 2). Round f to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of t**6\/240 - t**5\/60 + 7*t**2\/2 - 6. Let v(q) be the second derivative of g(q). Factor v(k).\nAnswer: k**2*(k - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/150)\/(-6*1\/30). Let b be ((-6)\/9)\/(2\/(-3)). Is b at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*14\/(-630)*-15.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 619*k**2. Let n(h) = 141*h - 1. Determine n(i(t)).\nAnswer: 87279*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26.3 + 26.479. What is t rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4069617, 8139269, 12208921?\n\"Answer: 4069652*q - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 9266, -4, 0, 242, 3 in descending order.\nAnswer: 9266, 242, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**3 + 1288*x**2 + 5128*x + 5120 = 0.\nAnswer: -640, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 96 - 90. What is the highest common divisor of j and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 7*m + 10. Let h be d(-8). Suppose -h*u + 5*u = 0. Suppose u = 2*k + 2*v + 959990, 2*k + 5*v - 16365 = -976340. Round k to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -5*m - 6*x + 70, 2*x = 0. Let q be m\/4 - 14\/4. Which is the nearest to q? (a) 3\/2 (b) 0 (c) -0.21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1450 and 40?\nAnswer: 5800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.1104, 0.4, -1\/3, 6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 16 = 2*t, -3*h - 1567 + 1554 = -t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 2*q**2 + q + 3. Let k(n) = 5*n**3 + 9*n**2 + 5*n + 15. Let a(r) = 11*g(r) - 2*k(r). Suppose 0 = 4*p + 8*p + 48. What is a(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i**3 + i. Let x be c(-1). Let v = x - 1. Let w = v - -3. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gvv when three letters picked without replacement from zzvvvgzg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 360 and 180?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**3 + w**2 + 3*w - 3. Let z be g(2). List the prime factors of (-7)\/(-3) + -3 - 60\/z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*q + 125*q + 715 = 191*q for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u + 47. Let y be b(14). Let d be (5*-2)\/(y - 7). Suppose f = 4*w + 111, 3*f + 2*f - d*w - 615 = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**2 + 23*g - 38. Let z be p(9). Is 6*596 - (12 - z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -28*(-4)\/16 - 5. Suppose -3*v - a*d = -1689, -4*v - 2*d + d = -2247. List the prime factors of v.\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a + 4. Let w be z(6). Suppose 4*k - 5*k = 5*t - 21, 2*t = -4*k + 12. Suppose -5*p + 25 = -t*n - 1, 4*p + 35 = -3*n. Which is greater: w or n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*w - w**2 + 2*w**3 - 27*w + 10*w - 2*w - 3*w**2 in the form m + n*w + k*w**2 + z*w**3 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2183, -2215, -2253, -2285, -2299, -2283?\n\"Answer: 2*i**3 - 15*i**2 - i - 2169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 - 744*l**2 + 6423*l + 7170.\nAnswer: 3*(l - 239)*(l - 10)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131590\/80 + 4\/32 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 6?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.3, -0.0405, 79\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*w + 23*w + h - 13, -6 = w - 3*h for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21514 and 12?\nAnswer: 129084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*20\/525*22\/88.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -10774 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m**3 + 7*m**2 + 6*m + 11. Let g(u) = 21*u**3 + 31*u**2 + 22*u + 45. Let j(w) = -9*b(w) + 2*g(w). What is j(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yccckikctckkckc. Give prob of picking 1 i, 1 c, and 1 k.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2*x + 15, 0 = -3*g + 4*x - 6. Calculate the highest common divisor of g and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 227356.362ns in days?\nAnswer: 0.000000002631439375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/(-3) + (574\/6 - 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261285 is divided by 191?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.361 + 39.531. Let t = v - 43. What is t rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*w**3 - 9018 - 9021 + 18039.\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1160770716?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 49222 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 5*w**2 + 7*w + 7. Let g be r(-3). Solve 34 = -g*x + 14 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4389054.400195 + -4389017. Let d = 37.4 - b. Round d to 5 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 461800.5 days?\nAnswer: 664992720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -62078433\/364 + 170545. Calculate the common denominator of 95\/168 and g.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 93577 and 6434912.\nAnswer: 1991","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -k**6\/60 - k**5\/2 - 117*k**2. Factor l(h).\nAnswer: -2*h**2*(h + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -95, -148, -221, -320, -451, -620?\nAnswer: -833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 28\/(-21) + (-20)\/(-6). Suppose 3*u + 4*y = 408, -3*u + 2*y + 706 = f*u. What are the prime factors of u?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbmm when four letters picked without replacement from bmmbmbmbmmmbmm.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 153229 or 153246?\nAnswer: 153229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 581985528 to the power of 1\/2, to the nearest integer?\nAnswer: 24124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 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 3*f = 4*a + 6, -f + a - 6*a + 2 = 0. Sort 0.4, 0.5, f, -2.\nAnswer: -2, 0.4, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -3*k - k - 76, -5*m - 95 = 4*k. Let o = 63 + -34. Let w = m + o. What is the remainder when 38 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/1 + 3 + -2. Let w be 12*(-1 - 2)\/(-9). Suppose -w*x = -z*x + 460000. What is x rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-12)\/405*(-20)\/(-8)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + s**2 - 9. Let l(t) be the first derivative of 2*t + 4. Let k(v) = 9*l(v) + 2*x(v). Factor k(n).\nAnswer: 2*n**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 + 14272*j - 28536.\nAnswer: -2*(j - 7134)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b**3 + 3*b**2 + b - 6. Let g(s) = 20*s**3 - 20*s**2 - 6*s + 37. Let y(o) = 6*g(o) + 39*m(o). Is 36 a factor of y(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9872 divided by 9?\nAnswer: 9872\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 28, -14, 4, 286, -18 in ascending order.\nAnswer: -18, -14, 0, 3, 4, 28, 286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4283195515 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let k be 20\/(-2)*40\/(-100). Suppose -k*u = 78 - 278. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - -8) + -3 + 0. Let k(a) = a + 19. Let w = -5 + 18. Calculate the remainder when k(v) is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48 - -32. Suppose 2*r = -0*r - 3*z + 22, -5*z = -5*r + s. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 102 (b) 4\/21 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 1. Let h be -14*(s - (-7)\/(-2)). Let l = 7 + -2. Solve 0 = -x - l*m - 20 + h, 5*x + 23 = -4*m for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 - (741\/52 - 15) - 5.\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -22*c + 34. Let s(f) = -3*f + 3. Let z be s(2). Sort z, 3, c, -2 in decreasing order.\nAnswer: 3, c, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -368025365\nAnswer: 368025365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 949.7 - 740. Let r = -210 + h. What is the nearest to r in 3, -0.08, 0.2?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 663 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4798256 - -61?\nAnswer: -47981a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17.0799997604 + -17.08. Round k to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 v, and 1 c when three letters picked without replacement from lfcvclccvcvccvc?\nAnswer: 64\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5205.\nAnswer: 3, 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d + 2*d + 0*d. Suppose 4*o - 3*a = -6*a + 16, 5*o = 2*a - 3. Let b(m) = m - o + 1 + 0. Give b(z(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + i - 56, 0 = 4*t - 0*i - i - 112. Let k = 39 - t. What is the smallest common multiple of 2 and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -22 (c) -3\/14 (d) 1 (e) -0.2 (f) 83 (g) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.4 (b) -8 (c) -3 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccf when three letters picked without replacement from ffffcfffffffcffcfccf.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24099064, -24099062, -24099060?\nAnswer: -24099058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -1058\/3*o**3 + 0 - 14*o - 1\/15*o**5 + 3*o**2 - 23\/3*o**4. Let c(b) = 0. Calculate b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 323532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8005 + h + 235 - 8240.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g - 2256 = -25*g. Solve 12 = g*r - 42*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 4*k = -4*k + 2, 5*f + 3*k = -44 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-one fifths of a gram?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 48 + 47 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -32 (b) 239 (c) 0.2 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 319\/13949 + 14\/259\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 48*h + 47*h = 47, -h + 33 = 3*r. Does 15 divide (-1425)\/r*(-1 + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4*d + 20, 0 = -2*t - 5*d + 24. Solve -t*h = -5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 3*c**2 - 4*c. Let k be a(3). Let h be (-38)\/k - 2\/12. Are 4 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -621 (base 12) in base 4?\nAnswer: -31321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 760986 to the nearest integer?\nAnswer: 872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 26\/7 (c) 13.1 (d) -93\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/1992 and 77\/5784?\nAnswer: 480072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/8 - (-15)\/70. Put 3, o, -3, 1\/4 in descending order.\nAnswer: 3, 1\/4, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -210110120221 (base 3) to base 15\nAnswer: -852d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t**2 + 3*t**2 - t**2)*(3 - 2 + 0)*(8750*t - 5511719 + t**2 + 5511719) to the form w*t**4 + z*t + k + x*t**3 + m*t**2 and give x.\nAnswer: 17500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -11. Let h = 1 - z. Which is the third smallest value? (a) h (b) 0.4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 91 - 28 = 3*c, 5*l - c + 101 = 0. Is -22 at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.4204 - 0.0204. What is the nearest to -1\/5 in b, 29, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 85, 82, 63, 22, -47?\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + o + 10 = 0. Let n(h) = -h**2 - 13*h - 13. Let l be n(o). Solve 0 = 5*m - 4*b - l, -3*b = -m - 2*b + 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(32)*5 + sqrt(8)))**2 + 3 + 0.\nAnswer: 366\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/8 + (-292)\/(-16). Calculate the greatest common divisor of 27 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -596*l**3 + 2*l**2 - 4*l + 4. Let j be m(3). What is j rounded to the nearest one hundred?\nAnswer: -16100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**2 + 14*d + 1707. Determine n(-26).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 4\/7, -0.004?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(320)*-2 + -4 + -2 + 3 + sqrt(320).\nAnswer: -8*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p = 17*p - 119. Let k be (-1086)\/10 - 6\/15. Let t = k - p. Solve 2*y = -3*y + t for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*h - 62. Suppose -h*b - 3*b = -585. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19548 and 564?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h - 4*h = -42. Solve -4*k = g - 3*k + 4, g = h*k + 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 29823548 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1342133 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1581.5 + -1581.4. Which is the closest to -0.31? (a) j (b) 1\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 903 and 70735.\nAnswer: 212205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**3 - 6634 + 6634 + 5*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5354 divided by -6704\nAnswer: -2677\/3352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 871*y + 872*y = -9, 3*c + 4*y = -22. Solve c*p + 26 = -5*f, 0 = 20*p - 15*p + 3*f + 27 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 76950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 679 + 5 = 0. What is the highest common divisor of 3 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -108 + 183. Calculate the remainder when r is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 9 = -3*v + 6*v, -v - 4 = 2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38268)\/(-22323)*(2\/18*-4 + 2).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 190*v + 1. What are the prime factors of o(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 3:39 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1)*l**(5\/4)*l)**(5\/9))**24 assuming l is positive.\nAnswer: l**(50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8427 is divided by 688.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a second in milliseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, 4, 5, 1.72 in descending order.\nAnswer: 5, 4, 1.72, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -147\/74?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 238 divide 1139700883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 169 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*j = -10. Let b = 157\/2 - 80. Is b not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 2\/(1 - 0). What is the lowest common multiple of -3 + w - (-2 + -13) and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2210885.\nAnswer: 5, 442177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104689*s + 294 = -104675*s. Sort s, 0, 2, 45, -1.\nAnswer: -1, 0, 2, s, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 5*g - 135, -5*g + 15 + 34 = -3*v. Let u = v + 26. Let i(j) = j + 1. Calculate i(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21803 rounded to the nearest one hundred?\nAnswer: -21800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/11)*z**(-4\/7))\/((z*(z*z**(-7))\/z*z*z)\/z*(z*z**(-2\/15))\/z))**24 assuming z is positive.\nAnswer: z**(42992\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 8920 divided by -1\nAnswer: -8920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1299146075?\nAnswer: 5, 59, 677, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 10:17 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/5*6\/(-7). Let p = 4.887 - -0.063. Let y = p + 0.05. What is the smallest value in y, 0, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100203233220 (base 4) in base 7?\nAnswer: 51616065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1411.\nAnswer: 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-4 + 2) - -82. Suppose n = s - 19. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5444951\/144 - 37811. Let h = d + -15\/16. Let z = 203\/3 + -67. Which is the nearest to 1\/2? (a) h (b) 2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g + 6. Let o(l) be the second derivative of -l**3\/3 + 13*l**2\/2 - 2*l. Calculate 6*o(m) - 13*s(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5153 by -114234.\nAnswer: -5153\/114234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 - 13. Let j be 11\/(-9) - (-4)\/x. Let n(z) = -6*z**3 + z**2 - z - 1. Is n(j) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 2, -3.056 in decreasing order.\nAnswer: 2, -4\/7, -3.056","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/8, 26, -3\/8?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2703 and 2703?\nAnswer: 2703","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 37838 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 359 - 415. Is ((-368)\/j)\/((-5)\/(-35)) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1213 (base 6) to base 14\nAnswer: -173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 307300, 7 in decreasing order.\nAnswer: 307300, 30, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2 - 1 - 8*k - 3*k**2 - 1 + 1. Suppose 4*n + 15 = n. Let t be f(n). Solve 2*z + 2*s + t = -3*s, 0 = z - 2*s - 11 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23237 + -116187\/5. Which is the nearest to p? (a) 1\/9 (b) -1\/447 (c) -2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1737493 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 2\/7 (b) 12 (c) -264\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 11*s**2 - 23*s - 255. What is h(-11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 6531*k = -6535*k - 17, -k = 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 + 79d7?\nAnswer: 79ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l + 1. Let b be w(3). Let a(h) = -325*h + 8 + 651*h - 317*h. Is a(b) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**5\/60 - f**3\/6 + f**2. Let h be q(-1). Suppose h = -z - z. Solve 2*a = -a + y + 2, z = -2*y - 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 22 + 1 - (-4 + (11 - -2)). Solve -44*p = n + 30 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3*z. Suppose -5*x - 81 = -16. Let v = 19 + x. Calculate the least common multiple of l(6) and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 3 = z. Let w(y) = y**3 + 3*y**2 - 8*y - 6. Determine w(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*m + 7535 = -65*m. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -506, -616, -760, -944, -1174, -1456, -1796?\n\"Answer: -p**3 - 11*p**2 - 70*p - 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2 - 1)\/(-1) - -21?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 102212122201?\nAnswer: -102212122220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**4\/8 + 27*n**3\/8 + 275*n**2\/8 + 225*n\/8 - 875\/4 = 0. Calculate n.\nAnswer: -5, 2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and 25.\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -49, -1, 2, 45, 0 in increasing order.\nAnswer: -49, -1, 0, 2, 8, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 21483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13086494 + 3703*l + 13086494 to the form u*l + h and give u.\nAnswer: 3703","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, -1\/4, -3, -0.5, 159?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 612 and 255.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u**3 + u**3 + 0*u**3)*(-2*u - 3*u - 2*u) - 18*u**2 + 8*u**4 + 18*u**2 in the form l*u**3 + a*u + y + s*u**2 + w*u**4 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24135?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.005491 weeks in nanoseconds?\nAnswer: 4236920956800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9 - 1 - 0\/1. Calculate the smallest common multiple of -1 + 0 - (-33 + x) and 5.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-6) + (-18)\/(-4). Suppose -12 = -y*q + 8. Calculate the lowest common multiple of (66\/(-4) - 0)\/((-3)\/q) and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4611.4522 and 1?\nAnswer: 4611.4522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 4*d**2 - 15*d + 70. Let j be m(4). Find the common denominator of -26\/183 and ((-410)\/(-1353))\/(-1 - (-12)\/j).\nAnswer: 2013","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(117)*-1 - sqrt(117)))\/(-3*sqrt(9)*2) + -2)**2.\nAnswer: 20*sqrt(13)\/3 + 361\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + -2 - ((-552)\/(-5))\/(-4). Let r = 30 - k. Put r, 30, 1\/4 in descending order.\nAnswer: 30, r, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 5:24 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 3:20 PM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 6 - 2 + (2 - 4 + 3)*(0 - 1 - 1) - 4 + 1 + 1 - 3 + 1 - 3)*(2 - 2 - g**2)*(-47*g**2 - 51*g**2 - 14*g + 16*g).\nAnswer: -1176*g**4 + 24*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 5*t + 212, -2*h + 138*t + 188 = 136*t. Suppose 3*q - 6*n = -n + 111, -2*n = 5*q - 154. What is the remainder when h is divided by q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -148*r + 5. Let i(p) = 294*p - 11. Calculate 5*d(z) + 2*i(z).\nAnswer: -152*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -2*k - 3*c, -4*c - 20 = 6*k - 4*k. Let n be (k\/10)\/(2\/(-15)). What is the highest common factor of n and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in 4\/3, -3\/4, -4, 10.2, -0.63, 8?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 27 = 5*c, 24 = -3*s + 3*c + 6. Let k be -1 - (11 + 2)*s. Suppose 2*a = -a + 324. Calculate the highest common factor of a and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68\/3 of a day in minutes?\nAnswer: 32640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 - 16 = 8*o. Suppose 0 = 2*c - 5*f - 45, -5*c + 120 = o*f - 9*f. Calculate the remainder when c is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/324 and -16\/27?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 10*w**2 - 16*w + 60. Let k be t(11). Let h(l) = -4*l + 9. What is h(k)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aebd when four letters picked without replacement from {d: 2, t: 1, h: 1, e: 2, a: 1, b: 2}?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = r - 14, 132*y + 11 = 139*y - 5*r for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306797?\nAnswer: 23, 13339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0 = 4. Determine a, given that -2*a**5 + 3*a**3 - 15*a**y + 5*a**5 + 21*a**3 - 12*a**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194237428 a multiple of 1077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/(-5))\/((-16)\/40). Suppose -11*z - w = -13*z. Suppose z*l = l, 5*d = 2*l + 75. What is the highest common divisor of 165 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.21 + -6. Let p = o - 0.45. Let g = p - -0.2400155. Round g to six dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*i**2 + 2970 - 2970 - 195*i**2.\nAnswer: -242*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2472 and 149865.\nAnswer: 1198920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - (-1 + -3) - 4. What is the remainder when (35\/(-3) - -11)\/(2\/(-111)) is divided by 2\/1 + t + 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2. Let b = 3 - -1. Suppose 3*c - 3*a - 12 = 0, 0*a - b = 3*c + a. Let k(u) = 6 - 6 + c*u**2 - 2*u**2. What is k(z(t))?\nAnswer: -2*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-3)\/(-99)*(55 + -56)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5381755 divided by -5\nAnswer: -1076351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*i + 2*x, 0 = 2*i + 3*i + 3*x - 20. Let h(o) = i + 0 - 9*o + 9*o + o. Give h(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c - 1. Let y(b) = -5*b - 5. Let f(z) = 2*k(z) - y(z). What is f(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i + 84. Let h = 5 - 5. What is the units digit of j(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + 12\/(-5) - (-340)\/(-25). Let p be (30\/j)\/(-5) - 7102\/(-7). Suppose -87 = 2*i + 2*k - 493, 0 = -5*i - 2*k + p. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -f**5\/20 - f**4\/12 + f**3\/2 + f**2 - 9*f. What is a(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2*p = 7*h - 15941, 20 = 4*p. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/240)\/((12\/(-75))\/(2\/(-5)))?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 4*o**5\/15 + 223*o**4\/6 - 224*o**3\/9 + 80. Factor v(y).\nAnswer: 2*y**2*(y + 112)*(2*y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -66 - 584. Let v = b - -929. What is the units digit of v\/6 + (-4)\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**6\/360 - 3*i**5\/40 + 49*i**3\/2 + 28*i - 2. Let k(p) be the second derivative of o(p). Let r(l) = -l**2. What is k(r(q))?\nAnswer: q**4 + 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 3*j = -2, -1537*j = 5*l - 1540*j - 14 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 132 + 17*u - 14*u**3 - 132. Suppose -g + 7 = z, -3*z + 2*z - 11 = -2*g. Let m = -12 + g. Let p(k) = -5*k**3 + 6*k. Determine m*i(y) + 17*p(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 790*y**3 - 1375*y**3 - 435*y**3 to t + w*y**3 + r*y + i*y**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/16 + 28\/16. Let z(y) = m + 13*y + y**3 - 8*y**2 - 11 - 2. Is z(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 5. Let j be (o - (-16)\/6)\/2. Which is the nearest to -0.1? (a) j (b) 3\/8 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3029108886.\nAnswer: 2, 3, 18698203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.22 rounded to zero decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -13. Suppose 2*y - 18 = h*i, 2*i = y - 2*i - 15. Let r = 11 - y. Let g(u) = -u + 1. What is g(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -32\/3, 4\/7, -5, -0.3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20)\/(300\/165) - 689*-1. What is the fourth smallest value in 2, o, 3, 0.4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, -23, -166655?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*u + 1 = 0, -4*u + 6 = -2. What is the third derivative of 24*h - 10*h + 0*h**p - 14*h + 146*h**2 - 23*h**3 wrt h?\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -151*x**2 - 207*x. Let u(w) = 50*w**2 + 69*w. Let t(o) = -3*g(o) - 8*u(o). Find the second derivative of t(b) wrt b.\nAnswer: 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000779374 rounded to 5 decimal places?\nAnswer: 0.00078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 972607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 19 = 9. Let l be x\/(10\/28)*5. Let y = l - 42. Calculate the remainder when 83 is divided by y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -43773, -43764, -43755?\n\"Answer: 9*o - 43782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, -0.2, 497339, -0.3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9693?\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 3*l + 448665, 0 = 3*f - 4*l - 632824 + 184161. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifths of a meter in millimeters?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -1890.2 - -1890. Suppose 0 = -5*t + 11 - 1. Suppose 3 = -a - t*x, -2*x + 0*x = 0. What is the closest to -1\/2 in o, a, 1\/6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-15)\/12)\/((-1 - -4)\/(-12)). Let c = -7 + o. Sort c, 0.01, 0.2.\nAnswer: c, 0.01, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1492 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 z = -0.9 + 0.5. Suppose 4*q - x - 5 = 0, 2*q + x = 85 - 96. What is the nearest to q in -1, -5, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence in when two letters picked without replacement from {n: 7, i: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 24 = 2*v. Let p = -8 - v. Suppose -b + 21 = -p*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p + 11. Calculate g(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -777 not equal to -854?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43*t + 2 + 96*t - 140*t**5 - 104*t**5 wrt t?\nAnswer: -4880*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 divided by -100?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 3*l - 12, 4*l = -3 - 5. Let q(a) = -a**2 - a + 1. Let u(w) = -5*w**2 + w + 4. Let p(b) = -3*q(b) + u(b). Determine p(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 2*d - 7*d. Suppose -i + 0 = -d. Suppose b + i = 2*b. Calculate the remainder when 20 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/3 + 4\/3*n**2 - 20\/3*n.\nAnswer: 4*(n - 4)*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l + 7. Let t be z(-5). Let q be 1894\/t*12\/(-594). Let x = q - 96\/11. Calculate the common denominator of 71\/4 and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 205911907?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24\/5 in 7, 5\/4, -1025?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 7:09 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3 + -1)\/(-1))\/(-1). Let d(s) = -s**3 - 5*s**2 - 5*s - 4. Let i be d(j). What is the units digit of (-14)\/(i + 1 + -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bft when three letters picked without replacement from {o: 5, b: 2, i: 2, r: 2, f: 1, t: 1}?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/12)\/(12\/185292) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 11:38 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/170 + 687\/1190. Let w = -70.81 + 73.81. Which is smaller: w or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*c + 3. Suppose -c*m = -4*p + 4, -11 = -m - 2*p + 3. Suppose 0*i + 20 = 4*i. Solve -i*r - m = 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 2*k + 1940, -5*h + k - 512 = -5382. Calculate the greatest common factor of 1560 and h.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z + 133*z - 1353 = 0 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 - -21. Suppose g = d + 2*f + 10 - 3, 0 = 3*d - 3*f - 24. Suppose -q + 3*q - 21*q = 0. Solve q = v + 5, t - d*v + 9 - 27 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 110668881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 6*l**2 + 4*l - 1. Let x = -2 + -1. Let n(q) = 5*q**2 + 3*q. Give x*r(u) + 4*n(u).\nAnswer: 2*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -12*z - 3. Let u(y) = 13*y + 4. Let b(t) = 4*s(t) + 3*u(t). Let x(v) = 28*v**2. Give b(x(k)).\nAnswer: -252*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56041342 is divided by 12279.\nAnswer: 12265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, k: 1, q: 1, m: 2, z: 1, y: 2}. What is prob of sequence qzk?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 499616 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 47361000 to the nearest one million.\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 200043731 a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/7))**46\/(y**(-8)\/((y\/y**(-2\/11))\/y)) assuming y is positive.\nAnswer: y**(-382\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 32, -27, -126, -265?\n\"Answer: -20*i**2 + i + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10980 by -1220.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 7:46 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 + -30. Calculate the greatest common divisor of g and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -11*t + 26. Let i(c) = -4*c + 9. Let a(p) = -6*d(p) + 17*i(p). Let w be a(-3). Solve o = -w*o + 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 - -2) + (-4 - -2). What are the prime factors of y\/2*(-136)\/20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37862 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 2*s + 3*f - 212, -4*f + 96 = -2*s. Let w be (-24)\/s - (-24)\/10. Solve 4*n - w = -2*k - 1, 0 = n - 2*k + 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 30 = 20. Suppose -i*f + 27 + 25 = 0. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -4. Suppose 6 = -4*a - 54. Let l be (-2 + 0)\/(-4) + a\/(-10). Calculate the greatest common divisor of l and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (168 - (96 - 62 - -30)) + (1 - 18).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 11:02 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.5902471 months to centuries.\nAnswer: 0.00215853925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13744, -27492, -41252, -55030, -68832, -82664, -96532, -110442?\nAnswer: -124400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 h when three letters picked without replacement from bhhhkbhkkkbh.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 675793507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1123860\/23, 0.5, -2\/3?\nAnswer: 1123860\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 474.3 - 164?\nAnswer: 310.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-14) - (-120)\/(-28). Let u be (-2)\/x*(1 + 1). Let g(d) = 131*d - 5. What are the prime factors of g(u)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 429.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.08 (b) -135 (c) 5 (d) -61 (e) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1205 - 1210. Sort 2, o, 0, -20 in increasing order.\nAnswer: -20, o, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/69)\/((-4)\/(-12))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 2\/9 (b) 1\/9 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1609024667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 114329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 18, 21, 16, 3, -18, -47?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*v + 58*v - 177*v + 55*v - v**2.\nAnswer: -v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 7*j**2\/2 - 9*j + 45. Let g = -4 - -16. Does 25 divide c(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 11571*h**3 + 0.\nAnswer: 11571*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 184 + -5a697?\nAnswer: -5a513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 6*d**2 - 10*d - 3. Let f be i(-7). Let a = 47 + -58. Let r = a + f. Solve -2 = 3*q + l, -4*l - r = 1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -585*w**3 + 297*w**3 + 290*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-60)*3*(-32)\/10. What is the closest to 0.025 in 1\/3, 0.5, -4, p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2764.8441 - -2765. Let g = -1.2061 - u. Round g to one dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2165726, 4331029, 6496334, 8661641, 10826950, 12992261, 15157574?\n\"Answer: b**2 + 2165300*b + 425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16719, -19614, -22509, -25404?\n\"Answer: -2895*c - 13824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 6*y**2 - 75*y + 444. Give w(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29\/24 - 4\/3. Let x(v) = v**2 - 948*v. Let m be x(0). What is the third smallest value in z, 2, m, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159 + 144 + 72*w - 183.\nAnswer: 72*w - 198","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 27\/4*o + 3\/4*o**2 + 0 = 0.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 6*v - 4. Let y be 2\/9 - 6076\/(-36). What is the remainder when b(7) is divided by (3 - 1)\/(26\/y)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 125816710 to the nearest ten thousand.\nAnswer: 125820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(2\/8) + 1*-85. Let n = 85 + m. Let t be (-180)\/((-311997)\/78000 + n). Round t to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 8:16 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**2 + 4*o - 2. Let f(v) = 7*v**2 - 5*v + 7. Let j(l) = 3*d(l) + f(l). Suppose 4*w + 12 = 2*w. Give j(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3 = 7. Let z(y) = 5*y**2 + 2*y**2 - y**d. Let j(c) = -c. Calculate j(z(o)).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 428 and -15730?\nAnswer: 16158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -0.5. Let t = -6.3 - -7. Let w = 0.4 - t. What is the closest to 1 in x, 2, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s**3 - s**3 + 3*s**3)*(-2*s + 0*s + 4*s) - 3535*s**2 - 3*s**4 + 3535*s**2 - 6*s to the form k + f*s**4 + p*s**2 + m*s + y*s**3 and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**5 + 6*a**4 + 8*a**3 - 96*a**2 + 128*a.\nAnswer: -a*(a - 4)**2*(a - 2)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 524267616 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124918629?\nAnswer: 3, 11, 173, 21881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -55*x + 475 + 75. Solve 2*r + 6 = x for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+-139389092\nAnswer: -139389091.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -213?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1002344 (base 7) to base 10\nAnswer: -118514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 131, -13, 0, -1, -5 in ascending order.\nAnswer: -13, -5, -1, 0, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -1924*u. Let n(q) = -2184*q + 1079*q - 2*q**2 + 1105*q. What is i(n(v))?\nAnswer: 3848*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 5 = 30*y - 24*y. Solve 4*a - 43*p = -45*p - 8, 0 = a - y*p + 13 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5*a + 1. Let g(s) = s**3 + s**2 - 4*s - 3. Let k be g(-2). Let y be u(k). What is the third biggest value in -5, -2\/11, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**3 - 2*u**3 + u**3 + (-6 + 0 + 2)*(u**3 - u**2 + u**2).\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 114 and 930?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66914, -66852, -66748, -66602?\nAnswer: -66414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000281 rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**4 - 84*j**3 - 324*j**2 + 916*j - 504.\nAnswer: -4*(j - 1)**2*(j + 9)*(j + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22.9 - 20.37. What is z rounded to one dp?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 24298050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**3 - 4*j**2 + 10*j - 20. Is i(7) a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -5*r**4\/6 + 5*r**3 - 25*r**2\/6 = 0?\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 609*s + t + 55 = 605*s, 0 = -5*s - 10*t - 60 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-41 + 25 - 33)*(-17 - 8*d + 17) + (-3 + 0 + 4)*(-d + d - 2*d) - 4*d + 4*d - d as r + b*d and give b.\nAnswer: 389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i + 16*i + 4 = 0. Suppose 3*s + i*q - 60 = 0, 0 = 2*s - 4*q - 48 + 8. Which is smaller: 19 or s?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23845?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 400 - 399.9999599. Round h to six dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -0.1, -3\/2, -24 in descending order.\nAnswer: 0, -0.1, -3\/2, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 8265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a milligram in micrograms?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003017035 to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jeee when four letters picked without replacement from jeeeejjjeejee?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -316113 + -2?\nAnswer: -316115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3743)\/6*(23 + -31) - (-4)\/3 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -r**4\/4 - r**3 + 3*r**2 + 6*r + 3. Let y be i(-4). Let w be -2*2*y\/40. Is w greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -4*h**3 - 10*h**2 + 8*h + 6 = 0.\nAnswer: -3, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 3115\nAnswer: -623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9.5, -29, 5, -142, -3\/8, -1\/6 in increasing order.\nAnswer: -142, -29, -9.5, -3\/8, -1\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16598 or -16600?\nAnswer: -16598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*i**2 + 239*i**2 - 130*i**2 - 85*i**2.\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1071.745 millilitres to litres.\nAnswer: 1.071745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1326 and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/7, -1, -3, -5\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/4)\/((6 + -8)\/892) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18082 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5454 - 5445. Solve k + 2*b + s = -5, -2*k = 3*b + 23 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j**3\/3 - 76*j. Let q(c) = 361*c. What is q(m(d))?\nAnswer: 722*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 187, 278, 321, 316, 263, 162, 13?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1*(sqrt(704)*-2 + -3) + -1)**2 + 6*(-4 + sqrt(704)*-1*-4 + sqrt(704)).\nAnswer: 304*sqrt(11) + 2795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9912.952kg?\nAnswer: 9912952000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 655557*n - 655533*n + 72 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49 - 33. Suppose -2*u - 7 + 5 = 0. Let k(j) = -30*j**3 - 3*j**2 - j + 1. What is the remainder when k(u) is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 8*q - 111. Let o be (-5)\/((-10)\/(-6)) + 0. Let f = 13 + o. Calculate the remainder when q is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 4:43 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) + 4 + sqrt(192) + (sqrt(192) - 2*sqrt(192)))**2 + (sqrt(432) + sqrt(432) + -2*sqrt(432)*1)**2)*6.\nAnswer: 384*sqrt(3) + 1248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 277919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 6*n - 2998. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151038055 is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 6 = 0, -3*a - 8 = -4*i - 1 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/318951 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 7*b + 19. Let l(i) = -3*i - 9. Let r(y) = -5*l(y) - 2*o(y). Let k(j) = -2. Give 7*k(f) + 2*r(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32220 is divided by 1465?\nAnswer: 1455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25048464?\nAnswer: 2, 3, 7, 127, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i. Let s(l) = -l + 3099. Give x(s(u)).\nAnswer: -u + 3099","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 660484 is divided by 55028?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-28)\/(-6) + (-4)\/(-12). Suppose 3*p + v - 37 = 2*v, 67 = 3*p + o*v. What is the units digit of (3 + 4)*4\/p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 28635.93 millennia?\nAnswer: 286359.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 9. Let g = z + 2. Suppose n + p = 4*n - 4, g = -4*p + 8. Solve -j + n*f = -0*j + 6, -4*f = -3*j - 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 j, 1 p, and 1 t when four letters picked without replacement from {k: 1, d: 4, t: 2, p: 3, j: 4}?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3*1)\/((15 + 3)\/(-18)). Let a(j) be the second derivative of -1\/7*j**h + 0 - 8*j - 3\/70*j**5 - 1\/7*j**4 + 0*j**2. Find p such that a(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -231050 (base 6) in base 7?\nAnswer: -111252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4\/3 + 25\/21. Suppose 3*t - 4*y = -3*y + 3, 2*y = -t + 1. Is o less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 938 - 1349. Calculate the common denominator of 0 + (-2 - m\/(-18)) and -2*2 - ((-516)\/54 - -6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/(-136)*(-2 - (-3)\/3). Let f = -0.23 + -0.07. Let r = f + -0.7. Put w, -0.1, r in decreasing order.\nAnswer: w, -0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12864*f - 1096 + 520 + 576 to the form x + p*f and give p.\nAnswer: 12864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -270 and -683.5.\nAnswer: 184545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -15. Let y = r - -11.7. Let v = 4.99 + 0.01. What is the biggest value in -3, y, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + 0. Calculate the greatest common factor of j and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 240\/301 in -0.16, -7, -3?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44*f*m**2*s*u + 16*f*m*s*u + 2*f*m*u + 94*f*s*u + m**2*s*u - m**2*s - 54*m**2 + 3*m*s*u wrt m.\nAnswer: 88*f*s*u + 2*s*u - 2*s - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 244189028 a multiple of 1228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 16*o**2 - 25*o + 29. Calculate the remainder when x(18) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 456 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -1068?\nAnswer: 1069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 1:48 PM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(-216))\/(16\/13440*15).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 2880 = -9*p. Let z = 479 + p. What is the greatest common factor of z and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -1, 0.2 in descending order.\nAnswer: 21, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*o + 3. Solve 3*u - o = -5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2512 divide 51865264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 41 + 0*f**4 + 1\/2*f**6 - 9*f**3 + 0*f + 16\/7*f**7 + 1\/2*f**2 + 0*f**5. What is the third derivative of p(x) wrt x?\nAnswer: 1920*x**3 + 180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.6674 - 0.6753. Let r = u + 0.0119. Let g = 1 - r. Round g to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.8 + 35.8. Let k = -36 + l. What is the nearest to k in -2\/11, -5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 10114*p = 10109*p - 85, 4*h - 53 = -p for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - l - 2, 6*l - 3*l + 6 = 0. Which is bigger: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -0.1 (b) 2 (c) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*h + 339, 3*g + 13*h - 1025 = 18*h. Solve 6*l = -g + 303 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-2)*(-1 - -7). Suppose 3*z + y - 93 = -z, -2*y - 34 = -2*z. Calculate the smallest common multiple of 3\/(-9) + (-7)\/g and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h**3 - 47*h**2 - 10*h + 429. Calculate i(15).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*s - 18 = 45*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*f - 291 + 348 = -734 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 1\/3 (b) -1.3028 (c) 0 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/(-12) - 2\/(56\/(-26)). Let s(k) = k + 11. Let g be s(-9). Suppose g*f + 5 - 15 = 0. Which is the third biggest value? (a) -0.1 (b) 0 (c) f (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*k**5 - 3*k**5 + 25*k - 10*k**5 wrt k.\nAnswer: -560*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/(7\/4) + (-33)\/1. Let z = u - -40. Suppose z*o = 6869 + 130. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -9*d + 6. Solve 4 - d = g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11868094 by 7.\nAnswer: -1695442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from avaauvhvaaaa. Give prob of sequence vu.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110000111111010010 (base 2) to base 7.\nAnswer: -1464003","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (-15)\/5 - 1*-115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fjjejnbnjenjbnk. What is prob of picking 1 n, 1 b, and 2 j?\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 12.301074 months?\nAnswer: 0.10250895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*r = -15 + 6 - 12 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 533263 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -6*v**4 + 4*v**3 + v**2 - 4*v. Let s(q) = 12*q**4 - 9*q**3 - 3*q**2 + 9*q. Let j(y) = 4*s(y) + 9*z(y). Find the third derivative of j(m) wrt m.\nAnswer: -144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 275 - 272. Let h(p) be the first derivative of -p**2\/2 + p + 16. Let k(z) = -5*z + 2. Calculate t*k(x) - 6*h(x).\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 493289079?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5*o - 67, 3*d + 2*o - 59 = -2*d. Suppose 2*p = 19 + d. Suppose -7*w + 3*w = -8. Solve -4*y - w*g = -p, 0*y = y - 2*g - 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -603616*a**3*n**2 + 42*a**2*n**2 + 7047*a*n**2 wrt a.\nAnswer: -3621696*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 3. Let t = -0.1 - -0.2. Let i = -0.5 + t. What is the second smallest value in -1\/4, q, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 9. Let y be (-1 + -3)*(180\/8)\/p. What is the greatest common divisor of y and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1\/2, -0.631, 7\/9, 0 in increasing order.\nAnswer: -1, -0.631, -1\/2, 0, 7\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15\/2*i - 18 + 3\/4*i**4 + 15\/2*i**3 + 69\/4*i**2 = 0. Calculate i.\nAnswer: -6, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -2*p + 3*c, 18540*p = 18548*p - c + 25 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.42287 to two dps.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 6*p - 4896 = 2*c, 2*c = -5*p - 8156. Round p to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1163816 is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63362908?\nAnswer: 2, 7, 43, 52627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in -4, -3\/7, 0, 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 36*o - 98*o + 45*o + 40*o. Let l(i) = 3*i**2. What is l(h(d))?\nAnswer: 1587*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u*u*u**6)\/u*u)\/u)\/(u*u**(1\/14)*u))**(-12)*(u**(1\/4)*u)**30\/(u**0)**(-46) assuming u is positive.\nAnswer: u**(-471\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -486*s**2 + 88*s**2 + 178*s**2.\nAnswer: -220*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.906976 months in decades?\nAnswer: 0.0492248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 2*t + 1. Let k(y) = y + 1. Let v(z) = -2*k(z) - s(z). What is the units digit of v(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/34406 equal to -416?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 7 + -3 + 1. Suppose -q + 6*q - 25 = 0, 5*b = -t*q + 45. Suppose -b*u = -10 - 10. Sort u, -2, 3.\nAnswer: -2, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/(-1*(-2)\/382). Let u = z + 1192. Is 5\/(-20) - u\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -627 (base 10) to base 7.\nAnswer: -1554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20273*p**2 + 5292*p**2 + 5340*p**2 + 5498*p**2 + 5100*p**2.\nAnswer: 957*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, q: 4, h: 2}. What is prob of sequence bq?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(576)*1 - sqrt(16)) + sqrt(16) - sqrt(16))\/((sqrt(88)*-1)\/sqrt(11)).\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**3\/9 + 8755*l**2\/9 - 17507*l\/9 + 8753\/9 = 0.\nAnswer: 1, 8753","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 9.518418 weeks?\nAnswer: 5756739206400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 12 = -k, 0*c = -k + c + 12. What is the highest common divisor of k and 8976?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 3*f**5\/4 + 5667*f**4\/4 + 56379*f**3\/4 + 16533*f**2\/4 - 355131*f\/2 = 0.\nAnswer: -1879, -7, -6, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(8\/(-2))*0\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1797 - 1775 - 3*m + 3572.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/3 - 93\/(-9). Let l = -64 - -99. Suppose 5*a + z - q = l, 5*a + 5*z - 65 = 0. Solve 4*y - 2*y - a = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17070295, -34140583, -51210861, -68281129?\nAnswer: -85351387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4530720 is divided by 237.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4 + 48*v**3 + 285*v**2 + 744*v + 720.\nAnswer: 3*(v + 3)*(v + 4)**2*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -9*f**2 + 5*f + 6. Let z(m) = -17*m**2 + 9*m + 11. What is -11*i(s) + 6*z(s)?\nAnswer: -3*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3 = -0. Let f = -214.9769 + -0.0231. Let k = f + 215. Which is bigger: v or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x**3 - 2070 + 3*x**3 - x**3 - x + 2087 as h + v*x**3 + s*x + d*x**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -b - 6. Suppose b + 9 = 3*g. Suppose -g*l + 4*z = -28, 0 = l - 5*z + z + 8. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/861224 and -107\/49089768?\nAnswer: 49089768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 37*r**2 + 347*r - 189. Let a be v(-46). What is the greatest common divisor of 263 and a?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -11 + -5 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189256.5987 + 2.2.\nAnswer: 189258.7987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14893 - 14893 - 12*b.\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 945 and 60356.\nAnswer: 57036420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -158*0.3\nAnswer: -47.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -1\/12*q**4 + 0*q + 2 + 2\/9*q**3 + 0*q**2. Find m, given that c(m) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -860 (base 13) in base 12?\nAnswer: -9b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 5:21 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44\/3 + 173\/12. Let k(a) = -a**2 + 9*a - 7. Let w be k(8). Suppose 5*y + 3*l + w = 2*l, -2*l = -2*y + 2. Is y > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1*(-57)\/(-3) - 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 22*c. Let b(f) be the third derivative of f**5\/60 + 6*f**2. Determine y(b(g)).\nAnswer: 22*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 23272?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 times -1827.776\nAnswer: 54.83328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 86543377?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5*-73.89109\nAnswer: -369.45545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 - -25 - (17 + -7 + -1) - (-108 + -4).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -1\/2*z**2 - 1\/8*z**4 + 0 - 1\/2*z**3 + 1\/60*z**5 + z. Let w(v) be the first derivative of g(v). Give w(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 - 63\/2. Let n = -4.07 - -2.07. Which is the nearest to n? (a) -1\/3 (b) g (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 6*v + 3 = 0. What is the tens digit of ((4 - -40) + -3)*v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1411211 (base 5) in base 11?\nAnswer: 1a811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 + 1)*((-3*g + 5*g - g)*(6 - 2 - 3) - g + 0*g + 3*g - 1 + 1 - g + 0 + 2*g + 0 + 3*g - 2*g - 3*g - 216 - 25*g + 216).\nAnswer: -184*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 + -0.6. Let n = 0.3 + u. Let c = -0.3 + n. Are -1 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 0.02027\nAnswer: 0.08108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/9)\/((-2)\/(-30)). Suppose 0 = -5*a - 15 - t. Let h(r) = -r**3 - 2*r**2 + 2. Let m be h(-2). Put m, a, -1 in ascending order.\nAnswer: a, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 17 = -b. Solve 0 = 5*n + 8 + b for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 217 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10735500 rounded to the nearest ten thousand?\nAnswer: 10740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5751 + 5668. Let h = 0.007 - 78.007. Let f = i - h. Which is the second biggest value? (a) 2\/3 (b) f (c) -0.1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 61*o**2 - 3*o + 1. What is the units digit of k(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -191 - -193. Put s, -1, -2, 61 in decreasing order.\nAnswer: 61, s, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -65*s - 37. Let l be k(-1). Suppose -1998 = l*h - 30*h. List the prime factors of h.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5*q = m + 5, -3*q + 3 = 5*m. Suppose 50 = 3*v + 4*a, 0*a - 2*a - 8 = m. Is 19 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 + -407\/7. Let t = 3.49 + -0.49. Let u = 31.2 + -31. Sort o, -5, t, u in decreasing order.\nAnswer: t, u, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15*1 + (-2250 - -2287)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 11. What is the lowest common multiple of 16 and f?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*m**2 + 3*m**3 - 5*m**2 + m**3 + 0*m**2 wrt m.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3033 + 20309 = 4*c - 5*r, 3*r + 6 = 0. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4685 + -4681. Let v(y) be the third derivative of 0*y + 0*y**3 + 0 + 1\/60*y**5 - 9*y**2 - 1\/6*y**h. Determine v(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 110905493 and 96.7?\nAnswer: 110905396.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 + 0 + -4 + 2508 + -2504?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1635 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174927 + 20*x**2 - 3*x**2 - 174927 - 19*x**2 - 26*x**2.\nAnswer: -28*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18887669*y**3 + 609199*y**2 + 144*y wrt y?\nAnswer: -113326014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110 - -1110000111110001?\nAnswer: 1110000111001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(2*(-3)\/30). Suppose -4*q + n*q = -x + 75, 4*x = 3*q + 300. Suppose g = x + 46. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 543.6, -11, -2, -0.6, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2271 = -2275. Let y(x) be the second derivative of -4\/3*x**4 + 0*x**b + 2\/3*x**3 + 0 - 4*x. Let y(k) = 0. What is k?\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express m**4 + 3*m + 57*m**2 - 59*m**2 - m + m**3 - 2*m**3 as j*m**3 + p + w*m**4 + c*m**2 + y*m and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*i + 159*i = 235 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2299755849?\nAnswer: 3, 18517, 41399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -277*c**2 - 13241 + 13241 to the form b + k*c**2 + i*c and give k.\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2993303 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 15*k**2 + k**3 + 8 - 40*k**2 - 31*k**2 - 2*k**3 to the form j + n*k**2 + d*k + w*k**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 e when two letters picked without replacement from pdlpkldpedkppke?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 452940403?\nAnswer: 23, 2207, 8923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1038 + -1036. Solve 0 = 33*w - 31*w + 3*i - 3, p*i = 10 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 26526125 to the nearest ten thousand.\nAnswer: 26530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 57 and 360240?\nAnswer: 360240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000266186 rounded to seven dps?\nAnswer: -0.0000266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 539349 is divided by 165.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - y + 153. Let a be g(0). Suppose 4*f - 857*z = -856*z + 40, -5*f - 4*z = -29. Calculate the highest common divisor of a and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 154, 135, 1, -2.\nAnswer: -2, 0, 1, 135, 154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**2 + 46*t - 252 = 0.\nAnswer: 9, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/5 and 44\/119?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -5*v - 7, 4*x - v + 6 = -11. Let j be (-2)\/x - (-42)\/12. Suppose -2*l = j, 3*f + 0*l - 4*l - 20 = 0. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + -46 + 63 - -29?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5683*c + 221177. Give d(39).\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*(sqrt(4)\/(sqrt(22)\/(sqrt(44)\/sqrt(4) + sqrt(11))))**2 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2340099, 9360491, 21061153, 37442091, 58503311, 84244819, 114666621, 149768723?\n\"Answer: j**3 + 2340129*j**2 - 2*j - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -0.02, 360.2, -2, 4, 2 in decreasing order.\nAnswer: 360.2, 4, 2, -0.02, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 86925 and 198065825.\nAnswer: 198152750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -107496\/7 >= 3\/38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z - 4. Let h(w) = w - 1. Let v(n) = 10 + 5 - 3*n - 2. Let s(j) = 6*h(j) + v(j). Let c = 18 + -12. Calculate c*s(p) + 10*f(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m + 1227 = 11*m. Let w = m + 97. List the prime factors of w.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -12*h**3 + 189*h**2 + 38*h - 71. Give b(16).\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/23, -1, 0, -1790?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4086617543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 (base 4) in base 16?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/14 - (-22)\/28. What is the second smallest value in -1\/3, -84, c?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 t when two letters picked without replacement from {q: 4, s: 4, t: 2, r: 2}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -r**5\/20 + r**4\/12 - r**3\/6 + r**2\/2 + 2*r. Suppose -2*m = -9*m. Give b(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48584886 to the nearest integer?\nAnswer: 6970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b*b**(-4\/3)\/b)*b)**(-9)\/(b*b\/((b*b*(b\/((b**(4\/7)\/b)\/b))\/b)\/b))**(-14) assuming b is positive.\nAnswer: b**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1253, 5\/3, 3, 0.4, 4\/7 in ascending order.\nAnswer: 0.4, 4\/7, 5\/3, 3, 1253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 726*t - 723*t = -5, 4*h = -5*t - 45 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1380 + -9640\/7. Put -3, k, 0 in descending order.\nAnswer: k, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 1:34 PM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(12) - sqrt(48)\/sqrt(4))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 112.5 + -112.45. What is the closest to 1 in d, 0, 2\/29?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/71)\/(h*h*h*h\/(h\/h**(-5\/6)*h)))**20 assuming h is positive.\nAnswer: h**(-4850\/213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88) - (sqrt(88) + 1*sqrt(88)))*6*3)\/(4*sqrt(32)*5))**2.\nAnswer: 891\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 491 a factor of 5478648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/5, -2, -1.12, 1\/8?\nAnswer: -1.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 492 - 170 = 76*f - 514 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeevqqfqevfwfeqfqqf. Give prob of picking 1 e, 1 v, and 1 q.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/96)\/(3\/((-12)\/2)). What is the fourth biggest value in n, 0, 3\/5, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (145\/87)\/(10\/18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 179512978 to the nearest integer?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q**3\/3 + 148*q**2 + 2437*q + 22204\/3 = 0. What is q?\nAnswer: -427, -13, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 206 - 455\/2. Calculate the common denominator of 41\/4 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2220*g - 740*g - 740*g - 741*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 968947 + -469881. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1149 - -1182.15. Let j = 31 + -62. Let z = j + c. What is z rounded to 1 dp?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q - 6. Suppose -t - 18 = -4*t. Give h(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyv when three letters picked without replacement from vvvvyvvyvyvvyvvyyvy.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -340 - -4?\nAnswer: -339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j*k**2*v + 3*j*k*v - 129591*j - 321150442*k**2*v**2 - 39*k*v**2 + k*v wrt k.\nAnswer: 2*j*v - 642300884*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/153 and -45\/17.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -1, -0.7, -0.22?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1581 and 713.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p**2 - 5*p + 9. Suppose -5*u = 5*c - 820, -3*u = 4*c - 280 - 209. Calculate the remainder when u is divided by y(5).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -62 - -308. Let b = q - 245. What is the smallest value in b, -0.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = h. Suppose h*n = -5*n. Suppose 4*m = i - n*i + 53, 0 = -i + 3. Does 5 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4497*o - 17889*o - 11207*o.\nAnswer: -24599*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 12 + (5 - ((11 - 3) + -30))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 10253.\nAnswer: -2\/10253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-12))\/(3\/(-2)). Put s, 3, -3 in descending order.\nAnswer: 3, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 525 and 5968187925.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 300079 and 10433516?\nAnswer: 135635708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*x - 7 - 5*x**4 + 10 - 2 in the form j + d*x**2 + g*x**4 + p*x**3 + v*x and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 118130647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 68142859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 14. Let w be 9 - (11 - (-12 - -12)). Sort z, -0.3, -3\/5, w.\nAnswer: z, w, -3\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 252 - 416. Let v = f - -164.1. What is the nearest to v in 0.11, 0.3, -2, 0.4?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 5:38 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.87, 1\/3, 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/1834 and -39\/43492?\nAnswer: 304444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (1*-10)\/(-2 + 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.5 - -7.5. Let z = -5.99999989 + m. Round z to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (267000\/45)\/10 + (-1)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1643567 is divided by 63209.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = q + 195. Let s = -92 - q. Suppose 5*d = -3*t + 35, -5*d + 1 = 5*t - 34. What is the highest common divisor of d and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**5 - 30100*d**4 + 56610552*d**3 + 56791208*d**2 - 283293692*d + 169922028 = 0. Calculate d.\nAnswer: -3, 1, 3763","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1\/19))\/(a*a*a\/(a*a*a**0)*a*a*a*a)*(a*a\/(a**10\/a))\/(a\/a**(5\/2)) assuming a is positive.\nAnswer: a**(-363\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 970221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1728) + sqrt(1728)*-2 + 5))**2.\nAnswer: -2160*sqrt(3) + 15777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.006 (b) -5 (c) -9.56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -254189*j**2 + 127087*j**2 + 8 + 127087*j**2 + j to v*j + n + g*j**2 and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h + 52. Let g(v) = -v + 26. Let i(s) = -2*c(s) + 5*g(s). Is i(12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90205 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -5*b - 176. Give i(-38).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b - 3. What is u(4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 13) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - y = 18 - 0, 4*y + 12 = 0. Suppose u*n - 924 = 13*n - 4*s, 0 = -2*n + 4*s + 956. List the prime factors of n.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-2\/7)\/w*w*w*w)**(-33)\/(w*(w*w\/w**(-2\/9))\/w*w)**18 assuming w is positive.\nAnswer: w**(-1033\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 0 - (0 + 11). Let f be 2*6 + m\/14. Suppose -y - 4*p = -6*y + 79, y - f = 2*p. What is the remainder when 74 is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 515516 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 521389 + -3?\nAnswer: 521386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31280 + -21929. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**3\/3 + 20*s**2\/3 - 26*s = 0.\nAnswer: -13, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 20*r**2 - 21*r + 2. Let n be y(-21). Let w(s) be the second derivative of -s - 2\/15*s**3 + 0 + 1\/30*s**4 + 0*s**n. Factor w(d).\nAnswer: 2*d*(d - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -81, -185, -341, -555, -833, -1181?\nAnswer: -1605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 + -15. Let f = -34 - o. Suppose -j = -3*j - f. Which is smaller: j or -12\/13?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -445448176 + -4?\nAnswer: -445448181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 136 - -8. Does 18 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - ((3 - 6) + 18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 20 = -3*g. Let k(c) be the second derivative of c**5\/20 - c**4\/3 + 2*c**3\/3 - c**2\/2 + 3*c. Is 13 a factor of k(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of z**4\/24 - 106*z**2. Let x(w) be the first derivative of 0*w**2 + 0*w - 15 + 7\/3*w**3. Calculate c(x(p)).\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4559079 to the power of 1\/2, to the nearest integer?\nAnswer: 2135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001218888 rounded to five decimal places?\nAnswer: -0.00122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -155, -2512, -6441, -11942, -19015?\n\"Answer: -786*j**2 + j + 630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4 + -5*(sqrt(1053)*2 - (3*sqrt(130))\/sqrt(10))**2.\nAnswer: -14629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (84\/15 - 5)*(-34)\/3 and 87\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30566)\/(-37758))\/((-34)\/(-18)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -4*y - 32, 2*t - 7 - 7 = 2*y. Let x be ((-2)\/(-8) + 1)*t. Suppose 6 = x*f - 24. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.039*2.08145.\nAnswer: -0.08117655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 146930.01 months?\nAnswer: 122.441675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53802, 107602, 161400, 215196, 268990?\nAnswer: 322782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1495866?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/2, 4, -2\/11, -74.\nAnswer: -74, -1\/2, -2\/11, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1\/2, -258, 4, 57.764?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (-24 - -49) - (-1 + -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -759 + 760. Is q > 14\/65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*b + 3*a = 52*b + 12, -36 = 15*b + 3*a for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/3 - 590*h**2\/3 + 1824*h.\nAnswer: -2*h*(h - 9)*(h + 304)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 543348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 2:30 PM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.3 and -267787986197?\nAnswer: 267787986200.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2150 and 114810?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, i: 1, o: 1, f: 1, t: 1}. What is prob of picking 1 v and 1 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -227 + 227 - 4*r. Let m(h) = 4*h**2. Determine m(v(p)).\nAnswer: 64*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120\/(-207) - (2\/9)\/((-15)\/45).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1312? (a) 0.3 (b) 2\/3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/(-385) + (-2)\/(-11). Let p = 6 - 7.4. Let z = -0.6 + p. Which is the second biggest value? (a) 2\/9 (b) j (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.027 and 3.\nAnswer: -0.081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11644, 11653, 11668, 11689, 11716, 11749?\nAnswer: 11788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + m + 6. Let u be (-1 - -2)\/(m\/(-6)). Is ((79 - 3)\/u)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.1 - 5.9. Let i = u - -11. Let m = 2.2 - 1.2. What is the closest to m in -0.1, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 216 = 4*c - 1616, -c + 1820 = -4*n. Let w = n - -459. Suppose -1 = 4*l - 9. Solve -2*p + 2 = 0, -w*b + 4*p = l + 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1023 times 3\nAnswer: -3069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 697438241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -1 - (-72 - -81).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 - -27. Suppose 0 = -n*o - 3*q + 228, 4*o - 2*o = 4*q + 136. Is 20 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-6) - (456574\/(-6) - -8). Let i(g) = -76087 + a + 7*g. Give i(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 305 and 1787.\nAnswer: 545035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -135 times -0.21\nAnswer: 28.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 3*m**2 + 71*m - 2. Calculate f(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-3)\/6)\/((-6)\/(-3)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 3*j - 2*j)*(4 - 3 + 1) - 1 - 2*j + 1 + 221 - 221 - 5*j + (2 - 2 + 2*j)*(-2 + 2 + 2).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -1\/2, -0.04, -0.4, -3, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 4 - 3\/3*4. Let s = -49\/2 + 25. Is s equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (80\/(-3))\/((10\/18)\/((-135)\/162))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -19*p + 2. Let r(n) = 2*n + 5. Let i(v) = -2*v - 4. Let o(z) = -5*i(z) - 4*r(z). Let u(k) = -18*o(k) - 2*q(k). List the prime factors of u(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -47868541*q*u**2*z - q*u*z + 141*q*u + 6*q - 6*u**2 + 13*u + 33 wrt z?\nAnswer: -47868541*q*u**2 - q*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/(-45) + -4*(-19)\/6. Let m = w + -6. Calculate the remainder when m is divided by (2*3)\/1*(-23)\/(-46).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 448761561 to the nearest integer?\nAnswer: 766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 591 + -1232. Let j = d - -3106. Suppose 1833 = 2*k - j. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 671 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1002, -3805, -8476, -15015, -23422, -33697, -45840?\nAnswer: -59851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19.5 + -13.5. Which is the nearest to 3? (a) 0.3 (b) h (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3866759?\nAnswer: 13, 37, 8039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 2*h - 3*h + (-2 - 1 + 0)*(-h - 4*h - 3*h))*(-2*h - 2*h + 3*h - 4*h + 4*h - h + (0*h + h - 3*h)*(3 + 4 - 5)).\nAnswer: -132*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/474 and 37\/474?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 o, and 1 g when four letters picked without replacement from gozpddqz.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ykykkeeklkkeeeeeekek. What is prob of picking 1 k and 1 y?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46759 divided by 437.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -2. Suppose -3*g - 2*a + 12 = -a, -y*g + 6 = -2*a. Suppose -2*x = p - 5*x - 16, g*p + 5*x = 76. Calculate the greatest common factor of p and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(231)*-2)\/sqrt(11))\/(-2*sqrt(252)*-2).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1223, -1330, -1513, -1772?\nAnswer: -2107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56 - 65. Let s(a) = a**3 + 8*a**2 - 9*a + 2. Let u be s(n). Suppose -c + u = -r - 4*c, r = -2*c + 2. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -153137, -304872, -456597, -608306, -759993, -911652, -1063277?\nAnswer: -1214862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 429497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 7*c**3 + 5*c**2 + 6*c - 5. Let m(n) = 8*n**3 + 4*n**2 + 5*n - 4. Calculate 5*m(x) - 4*o(x).\nAnswer: 12*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 35*j**2 + j + 43. What is w(-35)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of 1 - d + d - d**2. Let u(i) = -2. Let f(q) = -q + 3. Let k(s) = -2*f(s) - 3*u(s). Calculate k(n(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 + 905*x**2 + 43935*x + 264915.\nAnswer: 5*(x + 7)*(x + 87)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*w**3 + 26 - 53*w**3 - 58*w**3.\nAnswer: -6*w**3 + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 13, -0.0811, -3?\nAnswer: -0.0811","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 30*k**3 + k**2. Let d(p) = -999*p**3 - 1053*p**2 - 256*p. Let z(l) = -2*d(l) + 6*f(l). Solve z(c) = 0.\nAnswer: -16\/33, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11539162 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - 368\/52) + 260\/3380 + 25504\/14. Suppose -3\/7*g**2 - n + 390\/7*g = 0. Calculate g.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*b**2 - 25*b - 14*b**3 + 25*b + 5*b**2 + 25*b**2.\nAnswer: -14*b**3 - 16*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - c + 3*c)*(5*c - 3*c + 2*c)*(3 + 2 + 3)*(0 - 9 + 1).\nAnswer: -512*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 1 - 5 = 0. Suppose 0 = -m - 3*m + y. Let j = 14 - 11. Calculate the least common multiple of j and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -42*n. Let c(s) = -s + 220. Determine c(u(o)).\nAnswer: 42*o + 220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12705*f - 160 = -12745*f. Calculate the highest common factor of f and 7628.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 25, -3*y - 19*f - 20 = -18*f. Let u(x) = 8*x - 6. Give u(y).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -11. Suppose 0 = -z + 3*z + 2, -5 = -3*p - h*z. Calculate the smallest common multiple of 7 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 14424656185 and 0.951?\nAnswer: 14424656184.049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pap when three letters picked without replacement from {s: 1, p: 13, a: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34331*m = -34396*m - 455 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k + 1. Let a(v) = -124*v + 998. Let y be a(8). Let r(s) = -10*s + 1. Calculate y*l(h) - r(h).\nAnswer: 4*h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.227171 to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) - 1*sqrt(304))*-2 + sqrt(304) + sqrt(304) + -2*sqrt(304) + 1)**2 + -2 + sqrt(304)*-1 + 0.\nAnswer: -4*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 108409784 to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -7*o**6\/40 - 11*o**3\/3 - 15*o**2\/2 + 16*o. Let f(c) be the first derivative of v(c). What is the derivative of f(k) wrt k?\nAnswer: -63*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhgghghgp. What is prob of picking 1 p, 1 g, and 1 h?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + n - 1. Let v(p) = -p**2 - 12*p - 3. Let d(x) = 2*b(x) + v(x). What is d(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20592 by -6.\nAnswer: 3432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 1, -1, -339364 in ascending order.\nAnswer: -339364, -9, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**5 - 10*c**4 - 20*c**3 + 40*c**2.\nAnswer: 5*c**2*(c - 2)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136659.\nAnswer: 3, 45553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-30))\/((-1)\/(-5)). Let i = -0.2 + 0.3. Which is the nearest to z? (a) i (b) -1 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.1, 1\/3, -3, -28?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 4 - 4 + 8 + 32*f**3.\nAnswer: 32*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/3 - 103\/24. What is the common denominator of -99\/8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, s: 1}. Give prob of sequence yy.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -32, 22\/15, 5, 27?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 + 6*b + 4. Let l be o(-2). Let y(w) = w**3 + w**2 - w - 11. What is y(l)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -100*r + 206. Suppose 5*q - 2 = 28. Suppose -4*t + 3*f = -11, 5*t + 3*f - 1 = q. What is the least common multiple of t and p(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -7 - (5 + 1 + -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-44)\/240) + 4. Let z = q + 69\/55. What is the fourth biggest value in -1\/4, -3\/2, -1\/3, z?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 129 + -126. Let k(v) = 3*v**2 - 2*v - 2. Suppose 3*x = -12, -4*x = -3*d - 2*d + 6. Let m be k(d). Solve 0*w + r*w + m = 2*z, -5*z - 4*w - 11 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 o when two letters picked without replacement from bgbbocl?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1196 divided by 299?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 101010110110010001 (base 2) to base 10\nAnswer: 175505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -97835, -97803, -97771?\n\"Answer: 32*d - 97867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -12*(-30)\/(-720)*(-2)\/11\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 880?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 874 and 4554?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/12 and 83\/377682.\nAnswer: 755364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 31.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**3)\/z*z*z**(-4))\/(z\/z**(2\/5))**(-1\/18) assuming z is positive.\nAnswer: z**(31\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4164\/1041*(-2)\/8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3)*90\/690*-1?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 15 = 10*g. Solve g + 2*c + 1\/3*c**2 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/1795 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -870 - -867.989. Let u = r + 0.011. Let w = 0.1 + -0.2. Put w, -1\/4, u in ascending order.\nAnswer: u, -1\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of 0*r**3 + 0*r + 3*r**2 + 0 - 1\/96*r**4 - 1\/240*r**5. Let k(i) = 0. Calculate i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1449 <= -179800?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-12) + 73667\/4. Suppose -4*s + 233484 - 67152 = 0. Let n = s + p. Round n to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 4848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - ((4 - 6) + -3) - -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2436?\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -8*v**2 - 260*v - 147. Determine q(-15).\nAnswer: 1953","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 20 = -2*x, 4*i + 93 + 20 = 3*x. Let v = i - -39. Let z = v + -10. Solve k = 5*n - 2*k - 1, -4*k - 5 = -z*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 divided by 41350?\nAnswer: 49\/41350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/18 and 137\/1006988290.\nAnswer: 9062894610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 195300 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*f**3 + 5*f**3 + 12*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 9*l**2 + 6*l + 1. What is r(8)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkknkkn. Give prob of sequence nn.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -2, 30, 22787, -4, -1 in increasing order.\nAnswer: -12, -4, -2, -1, 30, 22787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 - 39*t**2 + 165*t - 225.\nAnswer: 3*(t - 5)**2*(t - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1836435197.65 from 0.\nAnswer: -1836435197.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/2*6*(2 + -1). What is the smallest value in g, 0, -0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281*o = 288*o + 28 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + (sqrt(68) - (sqrt(68) - (sqrt(68) + sqrt(68)*2)*2)) - sqrt(68)) + (-5*2*sqrt(68) - sqrt(68)))\/(-4*-3*sqrt(144)).\nAnswer: -5*sqrt(17)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 548268.\nAnswer: 2, 3, 7, 61, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 66.7688 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 313 + 140. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3618 + -3618.4. What is the closest to 2 in -0.5, k, 0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2472217 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14087104879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*o**4 + 2*o**2 + 8*o - 4*o**2 - o**2 - o**2 - 3*o**5 wrt o?\nAnswer: -180*o**2 + 144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xi when two letters picked without replacement from {i: 1, c: 2, x: 1, j: 2, q: 1, e: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 3*z - 423, 2*t = -4*z + 3*z + 425. What is the smallest common multiple of 9 and t?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*o = 5*y - 6989 + 1315, -3*o - 2*y = -38 - 62 for o.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.5 + -6.443. Let b = h - 2.757. Let w = b - -3.38. Round w to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*n + 1 = 0, 0*n + 12 = -4*n. Let r(k) = -4 + 4 + 4*k. Let o be r(1). Sort z, o, -8.\nAnswer: -8, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, x: 2, p: 2}. What is prob of sequence pxpl?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -363334, -363335, -363336, -363337?\nAnswer: -363338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 2*i**3\/9 - 20*i**2\/3 + 38*i\/3 - 2454. Factor c(g).\nAnswer: 2*(g - 19)*(g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1709015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-1122))\/(92\/(-506))?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*t + 2 = 0, 0 = k - 2*t + 54. Let x be (-140)\/k - (-1)\/5. Solve -w = -x + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 339.4 + -339. Which is the smallest value? (a) -14\/3 (b) -2\/5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(-18*w**2 + 18*w**2 - 8*w**4).\nAnswer: -16*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -138439755 divided by 27687951.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12206\/(-1436)*(5 - 15).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cxxb when four letters picked without replacement from bbzbbcxbbxucbx.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 0)*(7*w - 10 + 10) in the form t*w + v and give t.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34.5 - 34. Let k = 5 + -4.6. Put -2, k, z in increasing order.\nAnswer: -2, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 3*x + 16 = 0, -232 + 252 = -5*q + 4*x for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -4, -26 in decreasing order.\nAnswer: 4, -3, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 440 and 9350.\nAnswer: 37400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 524 = -u, u - 523 = -0*f + f. Suppose j = -u + 522. Solve -2*p - 3 + 1 = j for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*x + 18*x = -33. Suppose 2\/7*w - 2\/7*w**2 - 2\/7*w**x + 2\/7 = 0. Calculate w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-20)\/(-4) - 1095332\/(-15 + 8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11336.\nAnswer: 2, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 9. Solve -5*i + 7 = p*x, i - 2*x - 11 = -6*x for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 q when three letters picked without replacement from dqdqddddqqddq.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-4))\/(6*1\/12). Sort t, 4, 5 in increasing order.\nAnswer: t, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 1715*i + 18890. Determine z(-11).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -156494, -1251997, -4225510, -10016039, -19562590, -33804169, -53679782?\n\"Answer: -156501*s**3 + s**2 + s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 320443803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(153) + sqrt(153)*1 + sqrt(153) - (-1 + 2*sqrt(153)) - ((sqrt(153) - (sqrt(153)*-1*3)**2) + (sqrt(153) - (-4 + -1 + sqrt(153)))).\nAnswer: 1368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(343))**2 + -2 - ((sqrt(7) - (sqrt(7) + 1 + -3)) + sqrt(112)).\nAnswer: -4*sqrt(7) + 1368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*q**4 - 29*q**3 - 50*q**3 - 3*q - 40*q**3 - 10*q**2 + 1 + 121*q**3 to the form c*q**2 + x*q**4 + r*q + d*q**3 + j and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1146.\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 7*v**2 - v + 5. Let q be k(5). Suppose 5*h - q = 5*z, z = -5*h + h + 50. Let m be 45\/h + (-2)\/(-8). Solve 2*j = 4*j - m for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 16945 in increasing order.\nAnswer: 1, 2, 16945","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 2*y**2 + 5*y + 1. Let a(h) = 2*h**3 + 5*h**2 - 10*h - 3. Calculate 2*a(s) + 5*g(s).\nAnswer: -s**3 + 5*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 10 = c, 4 + 76 = 5*c + y. Calculate the highest common factor of 1920 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1024204 - 2044113?\nAnswer: -1014404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*m**4 + 6756*m**3 + 45*m**2 - 167420084*m?\nAnswer: -336*m**2 + 40536*m + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ky when two letters picked without replacement from cyonenkncyekknekykky?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -331*y + 4633. What is c(14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -0*s. Suppose -5*i - 3*m = -2*m - 15, i - m - 3 = s. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = 4*c + 4*b, -c - 5*b = -0*c + 2. Let w = 12 - c. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 3.4 (b) -0.4 (c) -4 (d) -5 (e) 11 (f) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -3*a**2 - 1\/30*a**5 - 1\/12*a**4 + 0*a + 0*a**3 + 0. What is the second derivative of b(k) wrt k?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 139 + 161. Is 10 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157, 652, 1475, 2626, 4105?\nAnswer: 5912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.9993 days to minutes.\nAnswer: 119518.992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24980081 to the nearest integer?\nAnswer: 4998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56\/69 + 10\/69. What is the fourth smallest value in -3, 0.5, d, -2\/23?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of q**5\/20 - q**4\/24 - 11*q**3\/6 + 30*q**2. Let t be 3\/(-4 + 12\/4). Is a(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1975 and 81648475.\nAnswer: 1975","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*m - 14*m - 17*m - 6*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 217766063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -632, -2404, -5346, -9452, -14716, -21132?\n\"Answer: c**3 - 591*c**2 - 6*c - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102 = -14*p - 130 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31103 (base 11) to base 5.\nAnswer: -2423003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2828784527?\nAnswer: 13781, 205267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 4099*y**3 + 4096*y**3 - 3*y**4 - y**2 + 7*y**2 to v + f*y**4 + i*y**3 + j*y**2 + s*y and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 489171203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -3 + (-2 - -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-81)\/15)\/((-3)\/15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.5, -84, -303, -1\/12, 0.4.\nAnswer: -303, -84, -0.5, -1\/12, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -c + 28*h - 31, -16 = -8*c + 4*h for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nja when three letters picked without replacement from {n: 1, a: 1, j: 1, m: 1}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -12 - 8. Let h = 17 + -12. Suppose -11 = -f - c, h*f - 44 - y = -2*c. What is the lowest common multiple of f and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 27*n**2 - 24*n - 16. Determine m(26).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 345 + -1?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9428216 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11835440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of ((-205)\/10)\/((-12)\/17808)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 56. Let n = i - 55. Solve -12 = -n*a + 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - -1)\/(9\/12). Suppose 19 = -i*s + 55. Let n be (-9)\/2*((-35)\/(-7) + -15). Calculate the greatest common divisor of s and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 138956 (b) -2\/9 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, q: 7}. What is prob of sequence ppq?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + p = -160 + 45, p + 41 = o. Is 2 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m + m**4 - 5 - 6 + 9 - 4*m**4 + 2*m**3 - m**2 as r*m**4 + k*m**2 + x*m**3 + y + s*m and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1474 bigger than 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from llsslsllll?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 100066698 to the nearest integer?\nAnswer: 10003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3\/25 - -8\/25. Suppose 0 = j + 2*r - 2, -5*j - r + 5 = 4*r. Which is the fourth biggest value? (a) 0.5 (b) j (c) -3 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28816 and 240.\nAnswer: 432240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.34386kg in tonnes?\nAnswer: 0.07334386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48 + 2885182.5429.\nAnswer: 2885134.5429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of 0*g**6 - 4*g + 0*g**3 + 0*g**5 + 1\/6*g**4 + 0*g**2 + 0 + 1\/14*g**7. Find the third derivative of c(z) wrt z.\nAnswer: 180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1869160 by -4.\nAnswer: 467290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -17. What is the smallest common multiple of i and (95 + 21 + -22)*-1*3\/(-3)?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -u. Let s(i) = 3*i**2 - 7*i + 10. Let v be s(9). Suppose 6*h - v = h - 5*d, 5*h - 2*d - 183 = u. What are the prime factors of h?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in 481, -1\/8, -30\/11, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 5*r + r)*(-9*r + 0*r - 14*r)*(-5 + 1 + 0).\nAnswer: -184*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 658.93 - -0.001787\nAnswer: 658.931787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11957?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 4*a = 2*k + 134, 5*a = 2*k + 165. Let c = a - 154\/5. Let g = -6 + 5.5. What is the closest to -1 in g, -5, c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0)**(-2\/189)\/(g*g**(-2\/5)\/g)**(-42)*((g**0)**(8\/7))**(-2\/51) assuming g is positive.\nAnswer: g**(-84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -468870 to the nearest 1000.\nAnswer: -469000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (37 - -16)\/((-3)\/(-2) - 1). Let g = p - 104. Suppose -g*v - 18 = -3*v. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -8 (b) -0.14 (c) -1 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 6 + 0 - 2)*(2 - 2*h - 2) in the form a + s*h and give s.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*x + 424 - 114 = 115*x for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kxlxzzxkxf. What is prob of sequence xxzz?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -9*x**3 - 6*x**2 + 6*x - 1. Let i(f) = -7*f**3 - 5*f**2 + 5*f. Calculate 6*i(n) - 5*q(n).\nAnswer: 3*n**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173537 is divided by 506.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 748 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 40309.33mm in meters?\nAnswer: 40.30933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 90, 120, 134, 126, 90, 20, -90?\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8098 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 15, v: 3}. What is prob of sequence vhvh?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -3*r - 15, 28 = -5*v + 2*r - 6*r. Is (-7)\/((-7)\/v)*-4 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13117119101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6941931, 6941939, 6941957, 6941991, 6942047, 6942131?\nAnswer: 6942249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -546, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -71 - 69 + 2*t**2 + 134 - 3*t**3 + (-t**2 + t**2 - 2*t**2)*(t - 2*t + 3*t).\nAnswer: -7*t**3 + 2*t**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 239414087 and 13024.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 779264.\nAnswer: 2, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/27 + 7\/540. Calculate the common denominator of (-85)\/(-17)*(-268)\/60 and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -341, 30, -5 in ascending order.\nAnswer: -341, -5, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 30120144, 30120148, 30120152, 30120156, 30120160, 30120164?\n\"Answer: 4*a + 30120140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s**2 + 14*s - 24. Let j(w) = w**2 - 3*w. Give 5*j(l) + t(l).\nAnswer: 2*l**2 - l - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9379.6732 - 601.4702. Let j = 8773 - u. Let w = j - 0.097. Round w to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 8*u**2 - 12*u - 14. Let a(d) = d**3 - 7*d**2 + 17*d - 6. Let q be a(4). List the prime factors of v(q).\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wf when two letters picked without replacement from fwfffffwfff.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is db869 - -4?\nAnswer: db86d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and -3.921732773?\nAnswer: 3.421732773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*i - 3*i - i)*(2*i**3 - 1 + 1) - 2*i**4 + 0*i**4 + 4*i**4)*(-17 - 68 - 51) in the form v*i + u*i**4 + r*i**3 + p + l*i**2 and give u.\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (33\/(-12))\/(4\/(-16)). Solve 0 = -3*j + 5*v - 13, 5*j - 46 + m = -3*v for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 110, 356, 632, 938, 1274, 1640?\nAnswer: 2036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, e: 2, a: 6, u: 4, j: 3}. What is prob of sequence uu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3504588*h**3 - 3504606*h**3 + 2*h**2 + 314*h - 314*h.\nAnswer: -18*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (7 - 11) - (16 - 2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 33 + 11*w**3 - 11\/2*w**4 + 0*w + 0*w**2. What is the third derivative of l(d) wrt d?\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 655 and -67910364222?\nAnswer: 67910364877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 4)\/((-2)\/2)*1. Suppose 3 = -s + h, 14 = 2*s + g*h + h. Let k = 0.56 - 28.56. Which is the biggest value? (a) 3 (b) s (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 24*x**2 - 29*x + 100. Let f be r(25). Let g(o) = -o**2 - 2*o + 4. Let i be g(-3). Put -1, -3, f, i in ascending order.\nAnswer: -3, -1, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of w**3 + 27*w**2 + 243*w + 14. Factor m(b).\nAnswer: 3*(b + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 130620 divided by -2\nAnswer: -65310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*f - 584841 = 169513. What is the thousands digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggagaggggg. What is prob of sequence aggg?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/36 - 65\/252. Suppose -a + 1 - 2 = 0. Sort -0.04, a, k in descending order.\nAnswer: -0.04, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 30 + 6332?\nAnswer: 6362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4*w + 7. Let f be x(-8). Let j = f - 34. What is the third derivative of 0*u**j + 117*u**4 - 117*u**4 + 11*u**5 - 8*u**2 wrt u?\nAnswer: 660*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/15054 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31*188\/(-74307))\/(((-12)\/15)\/(4\/(-30))).\nAnswer: -2\/153","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2962 a factor of 987612053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**4\/3 + 14505376*w**3\/3 - w**2 - 10879033*w\/3 - 3626344\/3 = 0. What is w?\nAnswer: -3626344, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -309 (b) 4 (c) -11 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -99\/295 + 8\/59. Put z, -2\/7, 16 in descending order.\nAnswer: 16, z, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -14*l. Suppose 5*q + 6*c - 3*c = 7, 0 = -3*q + c + 7. Suppose 10*h = 8*h - q. Calculate x(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**3 - 1\/24*o**4 - 30*o**2 + 0*o + 0. Determine l(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {m: 2, g: 4, d: 3, u: 3, o: 1, a: 6}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 65419.28g in tonnes?\nAnswer: 0.06541928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 11*w**2 + 4*w + 16. Let u be f(-11). Let v = u + 39. What is the remainder when 40 is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -3033099.\nAnswer: -2\/3033099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 196 + -1369\/7. Let f = 1044 - 1041. Let p = 1.6 - 0.6. Which is the closest to -1? (a) h (b) p (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 111 + -76. Let f = -9 + 13. Let x be (f\/30)\/((-42)\/d). Which is the closest to 2? (a) x (b) 1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 1 - 32*w - 7.\nAnswer: -32*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 6842, 5, 387 in increasing order.\nAnswer: 5, 387, 6842","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3.87, 0.08, -1\/1215 in descending order.\nAnswer: 5, 3.87, 0.08, -1\/1215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.8? (a) 0.6 (b) 2 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qtllhqlstnthnq. Give prob of picking 1 l and 3 q.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.379 + 0.121. What is the nearest to -1\/4 in 0.3, -5, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1887902367 rounded to 3 dps?\nAnswer: -0.189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 - 32. Suppose u*c + 1008 = 11*c. Calculate the greatest common divisor of c and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/3)\/z)\/z**3)**(-29\/5)\/((z**2*z**(4\/3))\/(z\/z**(-1\/3))**9) assuming z is positive.\nAnswer: z**(169\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.7 - 6.7. Let z be 18\/(-1)*(-8)\/(-12). Let j be ((-6)\/(-4))\/((-45)\/z). Sort 4, j, o in decreasing order.\nAnswer: 4, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/16)\/(11022\/(-96192))?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -91 - -181159.\nAnswer: 181068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -589036685283 and 390.\nAnswer: -589036684893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18392269 to the power of 1\/2, to the nearest integer?\nAnswer: 4289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 4*t + 22, -5*t + 2*x - 14 = -0*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10276 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 365648 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 5*q - 31. Let m be f(7). Let p be (((-12)\/(-10))\/1)\/(m\/(-10)). What is the least common multiple of 4\/((p\/(-15))\/((-4)\/(-8))) and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k, -3*y - 2*y + k = -130. What are the prime factors of y?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19648 and 480?\nAnswer: 294720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from onoooooonono. What is prob of picking 2 n?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 0.06 (c) 0 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14052 - -14158. What is the least common multiple of m and (1\/4)\/((-5)\/(-20))?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four thirds of a hour?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence et when two letters picked without replacement from rzhtztzgehtzhzzreh?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**4 + 1710*p**3 - 123400*p**2 + 240000*p = 0. Calculate p.\nAnswer: 0, 2, 100, 240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 7 - 2\/9*q**3 - 1\/3*q**2 + 0*q. Find c, given that w(c) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53457 divided by 103?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4373 is divided by 81?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 58? (a) 1\/116 (b) 136 (c) -0.4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 126687.7 years?\nAnswer: 1520252.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15998 is divided by 2284?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/((-4)\/(-1) - 6). Suppose -78*g + 62*g = m. Find n, given that -1\/7*n**4 - 5\/7*n**2 + g - 2\/7*n - 4\/7*n**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 q when two letters picked without replacement from qvu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + sqrt(153)*-1)*-5)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 786.808932 to 2 decimal places.\nAnswer: 786.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p**2 + 1 - 1)*(-2 + 1 - 2) + 260 + 100*p**2 - 260 in the form a*p**2 + h*p + v and give a.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1033, 4, -0.5, 461?\nAnswer: 461","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 130, 339, 704, 1267?\nAnswer: 2070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 6*j - 392. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27.133 times 0.13716\nAnswer: 3.72156228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 33 = -36. Let h = 33 - o. Calculate the lowest common multiple of 22 and h.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/(-243) + ((-32)\/18)\/(-4)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -9*v + 100. Let s be (v\/(-6))\/((-10)\/(-105)). Let a = -82 - s. Round a to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200781 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 204, -0.4, 8, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113020302 + 20?\nAnswer: -113020222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 278, 475, 972, 1901, 3394, 5583?\n\"Answer: 22*o**3 + 18*o**2 - 11*o + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*i**3 + 37*i + 13*i**3 - 37*i - 35*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7360 divided by 1840.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 149, 154, 159?\nAnswer: 164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 28 = -24 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 + 2)*(-8364 - 64*y**3 + 8364) to the form n*y**2 + q*y + z + w*y**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-72)\/168*16\/(-12). Suppose 32\/7*r - q*r**2 - 64\/7 = 0. Calculate r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1536 and 152256?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 170*x**2 - 9*x - 4. Let q(o) = 509*o**2 - 26*o - 11. Let j = -16 + 22. Let v(t) = j*q(t) - 17*r(t). Is v(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -6467*g - 200480. Determine w(-31).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -3 (b) -0.4 (c) 38\/217\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of k**3\/3 - 2*k**2 + 7*k - 1. Suppose -5*n + 30 = 5. Is 12 a factor of d(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 3:31 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 53*l - 43. Let n be z(0). Is -310 < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - t**2 - 2*t**4 - 3*t**4 - 4*t**3 + 3*t**4 - 2*t + 2 to x*t**2 + q + v*t**3 + c*t**4 + f*t and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27215.\nAnswer: 5, 5443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*((-20)\/(-2))\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 2 - -4) + 768\/(-336)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 129\/2*h + 3\/8*h**4 - 3\/8*h**3 - 60 - 18*h**2 = 0. Calculate h.\nAnswer: -8, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 12. Let z be 1\/((-30)\/3)*k. Is 1 greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - s + 14 = 0, -28 = w - 2*w - 5*s. Let y(b) = -w*b**2 - b**2 + 3*b**2. Let x(u) = -9*u. Give x(y(h)).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 60231 (base 8) in base 16?\nAnswer: 6099","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o*z**5 + 8796*o*z**4 - 11*o*z**2 + 11*o + 2*z**2 - 18*z wrt z?\nAnswer: -120*o*z**2 + 211104*o*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6923 - -7748. Does 25 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c**2 - 10*c - 15. Let i(w) = -2*w**2 + 10*w + 14. Let p(z) = 4*i(z) + 3*n(z). Let q be p(-8). Let s = 22 + q. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -14, 11, 0.045, -2\/17?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1730?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2 + 18*p + 1. Suppose 36 = 3*b - 27. Is s(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19276907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -5. Let x(s) = 2*s**2 - s - 1. Let q be x(2). Suppose 31 = -43*n + 84 + 33. Solve q = n*u + k for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.4035 + -0.1035. What is the third biggest value in j, -3, 1\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 10:07 AM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1693*w**4 + 6*w**3 + 3*w**2 - 11113*w wrt w?\nAnswer: 40632*w + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - ((-22 - (-3 + 1)) + 7 - -35).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2759.787 litres to millilitres.\nAnswer: 2759787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1852 - 1850. Let u(v) be the first derivative of 1\/3*v**3 + 3*v**2 - 3 + n*v. Determine u(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*f + 7, -5*d + 4*f = -39 + 16. Suppose d*y - 4829 + 128 = 0. List the prime factors of y.\nAnswer: 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -0.1, 2, 94.82?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 g, and 2 f when four letters picked without replacement from {h: 2, f: 10, g: 4}?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, b: 1, l: 4, c: 2, y: 1}. Give prob of sequence le.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2872 divided by -8.\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 44491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of y**7\/42 - 91*y**6\/30 + 172*y**5\/5 - 506*y**4\/3 + 1336*y**3\/3 - 664*y**2 + 26*y - 8. Solve s(c) = 0 for c.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*k**4*m + 64*k**3*m**3 + k**2*m**3 + 473*k**2*m**2 - 2*k*m**3 + 2*m**3 wrt k.\nAnswer: 336*k*m + 384*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 140 + -64. Suppose 0 = -l + 5*l - g. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6164*g**4 - 3*g**2 - 4*g - 138.\nAnswer: 147936*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -2) + 7 + 28 + -19 + -1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 f when three letters picked without replacement from lffffffffffffflflf.\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230870600.\nAnswer: 2, 5, 1154353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -52 - 15*q - q**2 + 15 + 20 + 0*q**2. Calculate the remainder when 23 is divided by f(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*k**4 - 1495*k**3 - 2953 wrt k?\nAnswer: 12*k**3 - 4485*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (56\/21)\/(2\/3). Suppose 3*k - 546 = -h*c, 0 = c + 3*c + 2*k - 548. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 176, 25, -406, -1255, -2660, -4759, -7690?\nAnswer: -11591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -100*z + 37*z - 3*z**2 + 990 - 2*z**2 - 72*z.\nAnswer: -5*(z - 6)*(z + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0)**(-37\/3)*((o*o*o\/((o*o**(-4))\/o)*o*o)\/o)\/(o*o**(-4))*(o\/(o**0\/o))**(-26)*(o\/o**(-4)*o)\/(o**4*o) assuming o is positive.\nAnswer: o**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*j - 4. Let z = -11 + j. Let d = 96 + z. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89849209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 99 and 798?\nAnswer: 26334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3820 + -2630. List the prime factors of q.\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15505*s + 139675.\nAnswer: -15505","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16318*u - 2 - 16272*u + 32757*u.\nAnswer: 167*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7125, -14266, -21405, -28542, -35677?\n\"Answer: y**2 - 7144*y + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10362, 20720, 31068, 41400, 51710?\n\"Answer: -h**3 + h**2 + 10362*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 175, 174, 173?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/6*61\/366. Sort m, -1, -4.\nAnswer: -4, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -15, -1, -9, -2 in ascending order.\nAnswer: -15, -9, -2, -1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2, -3779, 3 in decreasing order.\nAnswer: 3, -2, -6, -3779","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3235*g - 1268*g + 4288*g - 726*g + 3*g**3 + 1032*g + 2.\nAnswer: 3*g**3 + 6561*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((2*sqrt(750))\/sqrt(10) - ((sqrt(3) - sqrt(432)\/sqrt(9)) + 1*sqrt(108))))**2.\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8, -1, -20, -55, -112, -197, -316?\n\"Answer: -d**3 + d**2 - 5*d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 379 - 65 + 69 + 559 + 2*q**2.\nAnswer: 2*q**2 + 942","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*t = -8, 2*s + 11 = 4*t - 11. Let g be (0 + -1)\/(s\/5). Suppose b = 3*h - 16, h + 0*h + g*b = -16. Is h a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3253, 3252, 3249, 3244, 3237, 3228, 3217?\nAnswer: 3204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3729631 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -342, -304, -274, -276, -334, -472?\nAnswer: -714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*w - 3*w - 11*w**2 + 7*w + w - 66 wrt w.\nAnswer: -22*w + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10276894 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.043934m?\nAnswer: 4.3934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -120 (base 4) to base 9\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3232293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -139410, -140691, -141972, -143253?\nAnswer: -144534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -162839*g**2 + 822*g - 92 wrt g?\nAnswer: -325678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -7*r**2 - 6*r - 15. Let h(j) = -5*j**2 - 4*j - 10. Let o(q) = 3*h(q) - 2*p(q). Let x(d) = 19*d**2 + 9*d. Give o(x(u)).\nAnswer: -361*u**4 - 342*u**3 - 81*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1291.044692 less than 109.74?\nAnswer: -1181.304692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 - 2230*u - 9000.\nAnswer: 5*(u - 450)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 8*r**2 + 6. Suppose -k + 8 = -0*k. What is the units digit of u(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0)**(49\/3) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2\/5, 14.5, -69.2, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5818 is divided by 3799.\nAnswer: 2019","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 - 5*q + 2. Let t be y(2). Solve t = b - 3*b + 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 75, 61, 47, 33, 19?\n\"Answer: -14*h + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n - 3*n**2 - 3*n + (5*n - 4*n + n)*(-224 - 5*n - 228 + 444) in the form d*n**2 + m + l*n and give d.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 10 = -0*v. Calculate the remainder when 17 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -4, 4, -36, 2\/7, -37?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 12:09 AM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1220779844 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2 - 2 + 63*j + 0 - 1. Is z(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -341 or -343?\nAnswer: -343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 r when two letters picked without replacement from {n: 1, w: 1, o: 3, r: 2, l: 5}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33947, -33946, -33949, -33956, -33967, -33982, -34001?\nAnswer: -34024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 420395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 3*k**2 - 2*k - 1. Let m(x) = -8*x**2 - 10*x - 28. Let q(r) = 7*r**2 + 10*r + 27. Let s(w) = 6*m(w) + 7*q(w). Let o be s(-6). Determine g(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b5d833 - -26?\nAnswer: -b5d80b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 5:59 AM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15634 + 281279\/18. Calculate the common denominator of -95\/8 and n.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 8*j - 1. Let p be i(8). Is 19 a factor of -4 + 6 + (-123)\/p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -376 divided by 94.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/8443518?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, y: 4, x: 2, g: 4}. What is prob of picking 1 y and 2 g?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**7*y\/(y*y**(3\/5)))**(-19\/3) assuming y is positive.\nAnswer: y**(-703\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*b - 47*b + 5*g - 63 = 0, -3*b + 57 = 4*g for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 6*c + 10. Let b be j(0). Suppose 6*r + b - 58 = 0. Is 4\/(24\/16877) + r\/48 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -10*p - 1 + 1. Let m(a) = -143*a + 83*a + 61*a. What is m(h(c))?\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*a + 1 + 455*a**4 - 154*a**4 - 148*a**4 - 56*a - a**2 - 152*a**4 + 11*a**3 in the form q + c*a**4 + i*a**2 + p*a + v*a**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1244 + -1241. Solve 10 = 5*x + y*m, -4*x - m - 1 + 16 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a millennium in centuries?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1211121112011 (base 3) in base 8?\nAnswer: -3563201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1618154.\nAnswer: 2, 19, 97, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238795.\nAnswer: 5, 163, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/((-2090)\/20))\/(12\/(-8) - -2)?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7563*z**3 - 18986*z**3 + 11418*z**3.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.206055 to 3 decimal places.\nAnswer: -0.206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13.9, -0.3, 1 in ascending order.\nAnswer: -0.3, 1, 13.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 - -86. Which is the second smallest value? (a) -5 (b) 0.2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence foo when three letters picked without replacement from ooffi?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20255 is divided by 893?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4003434 (base 5) to base 4\nAnswer: 33120102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 6 = -0*d - p, 2*p - 9 = -3*d. Find the third derivative of 34*l**2 - l - 71*l**d + l + 68*l**3 wrt l.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 108940, 109314, 109688, 110062?\n\"Answer: 374*c + 108566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -701 not equal to -701?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -63 + 63. Let u = -2.35 + 2.6. Let y = -5.25 + u. Which is the nearest to s? (a) -1\/6 (b) 3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3 - 207*s**2 + 1812*s - 2772.\nAnswer: -3*(s - 6)*(s - 2)*(s + 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -2*a + 420, -2*a + 144 + 276 = -4*d. Calculate the highest common divisor of a and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p - 1. Let k be v(2). Let f = 41.9 - 15.9. Let l = f - 26.4. Which is greater: k or l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 462447 to the nearest 10000.\nAnswer: 460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of x**3 + 3*x**2 + 7*x - 2. Let p be k(-3). Solve -5*n - 9 = p for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - m + 4*m)*(-3 + 1 + 1)*(-127*m + 1761*m + 993*m).\nAnswer: -2627*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 4*q - 2. Suppose -2*z + 25 = -7*z. Let s(m) = 8*m**2 + 48*m + 4. Calculate the lowest common multiple of s(-6) and j(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*f - 22*f = 5*g - 19, 0 = -5*g + 3*f + 31. Suppose -g*b + 3*c = -45, -2*c = 2*b - 7 - 27. Solve -4*l + b = -2*d, l = d - 2 + 3 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and -904.\nAnswer: 5424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1620)*1 + (-2*sqrt(2000) - sqrt(2000) - sqrt(2000))**2).\nAnswer: 108*sqrt(5) + 192000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h - 1. Let r = -3 + 1. Let n(t) = 1. What is r*m(d) - 2*n(d)?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 2*f - 2*f)*(-2*f**3 + 2*f**3 - f**3) + (-2*f**3 + 2*f - 2*f)*(-2*f + 1 - 1).\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69*m**2 + 52*m**2 - 493*m**2)*(-m - 1 - m + m).\nAnswer: 510*m**3 + 510*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 5*x - 5, -2*w + 3 - 8 = 5*x. Solve 0 = r - 3*u + 11, -2*u + w = 3*r + 11 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27ce (base 15) to base 10\nAnswer: -8519","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p - 1. Let g be w(-1). Is g smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.46965254 to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 217a718a?\nAnswer: 217a7194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000043226 to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -7*k + 90. Let y be w(-8). Let f = 211 + y. Is 358 less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*g**3*m - 228*g**3 + 5*m**2 with respect to m.\nAnswer: 13*g**3 + 10*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 4*w**4 - 5*w**3 - 2. What is the third derivative of a(b) wrt b?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2370840 divided by -2370840\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 + -13. Suppose 5*w = 104 + n. Suppose 0 = 2*s - 6, -5*s = x - 0 - w. Solve -5*g + 33 = x for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32466 (base 8) to base 15\nAnswer: 4082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131219.\nAnswer: 11, 79, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49 and 1323?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.286648 millennia in years?\nAnswer: 2286.648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 6. Let t = -3 - k. Let u(g) = g. Let v be u(1). Solve 7 = t*b + v for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 267 in 1\/8, -2910, 0?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -3\/4*n**5 + 0 + 2*n**2 + 0*n**4 + 0*n**3 - 18*n. What is the derivative of j(w) wrt w?\nAnswer: -45*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 35.\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8871*v**3 + 17733*v**3 - 8861*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.6238897 rounded to three decimal places?\nAnswer: -9.624","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 106230 to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 8:30 AM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1750.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t - 14. Let n be h(1). Suppose -2*x + 3*d = -29, 2*d - 3*d - 5 = 0. Suppose 0 = -4*j + x*j - 3. What is the nearest to n in 2\/3, -3\/8, j?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 154284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 99, 110, 123, 138, 155, 174, 195?\n\"Answer: g**2 + 8*g + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from dpfpnaavnnp.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1a23595 (base 11) to base 7\nAnswer: 41015226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8974.151um in centimeters?\nAnswer: 0.8974151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1706448 divided by 35551\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 z, 1 i, and 1 b when four letters picked without replacement from obzzpbzbbzpbhipzz?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(135)*-1*2)\/(sqrt(12)\/(1*sqrt(4))) + (1*1*sqrt(45)*-5)**2 + -4.\nAnswer: -6*sqrt(5) + 1121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27916346 and 374?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -5.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 11 - 7. Let i(q) = q + 5*q + 26 - w*q. What is the remainder when 57 is divided by i(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18683723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 9\/1)\/(50 + -49). Suppose -g = -4*c + 2. Suppose -2*x = c*n - 124, -x = 2*x - 5*n - 148. Calculate the greatest common factor of 14 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 - -9. Let r = -18.5 - f. Which is the second biggest value? (a) -1 (b) r (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14402 (base 5) to base 11\nAnswer: -a16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10250220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - ((-164)\/(-1) + -2 + 4). Let n = -112 - s. What is the remainder when n is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n - 4*n + 6*n)*(-3*n**4 + 0*n**4 + n**4) + 2*n**5 - 4*n**5 + n**5 + (1 - n**3 - 1)*(-1 + 1 - 2*n**2) - n**5 - 2*n + 2*n - 12*n**5 - 90 + 90.\nAnswer: -10*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from elrdvpe. Give prob of sequence lp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158590118.\nAnswer: 2, 61, 1299919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67 (base 8) to base 13.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 2\/9, -6, 2\/17, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8600.23 millimeters in meters?\nAnswer: 8.60023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2 + 10*d - 22. Let h be b(2). Let i be ((-8)\/(0 - -2))\/((-3)\/h). Solve -2*a - i = -a - 4*p, -4*a + 25 = 3*p for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and -0.312?\nAnswer: 0.212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -955118, -955112, -955108, -955106, -955106, -955108, -955112?\nAnswer: -955118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 193*g**3 + 530*g**3.\nAnswer: 337*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-8) - (-1)\/(-2). Which is the second smallest value? (a) -2\/11 (b) r (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1))**(-24)\/(o**3)**(-1\/52))**(-3\/5) assuming o is positive.\nAnswer: o**(-3753\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 times -17?\nAnswer: -357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -t**4\/24 + 8*t**3\/3 + 13*t**2. Calculate the remainder when a(-6) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 3:21 PM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 992 + -192. Suppose 5*x = q - s, 3*x - 1190 = -4*q + 2056. Calculate the highest common factor of q and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/((-4)\/(-10)*1). What is the units digit of (v\/(-3))\/(2\/(-12))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1345 in -1379, -0.4, -0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/23 - (-1650)\/(-3036)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.36 and 108734.\nAnswer: 108734.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**5\/5 - 89*g**4 + 2634*g**3\/5 = 0.\nAnswer: 0, 6, 439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*w**3 - 4*w**4 - 11*w**3 + 0*w**4 + w**4 + 0*w**4 + (0 - 2*w + 0)*(-5*w**3 + 2*w**3 + 2*w**3) + 0*w**4 + 4*w**4 - 5*w**4.\nAnswer: -2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 132*q**2 + 266*q - 121. Calculate n(-134).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c - 4. Let b be a(2). Let d be b\/4*(-6 + 6). Suppose -4*w + 98 + 190 = d. Is w a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2018780053?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-108)\/135)\/(2\/(-265)). Let m = 221 - h. Is m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - 52220?\nAnswer: -52230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*v**2 - 25*v**4 - 10*v**3 - 28*v**2 + 11*v**2 - 25*v**3 + 7*v**2 = 0. Calculate v.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1703 - -0.3403. Which is the biggest value? (a) s (b) 2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8856507*a**2 - 78*a + 2*a**4 + 31*a**3 + 1 - 8856507*a**2 as j*a**3 + k*a + n + u*a**4 + t*a**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, f: 6, z: 8, o: 3}. What is prob of picking 3 z?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 8*h - x - 10 = 0, 2*x + 10 = 0. Let z = h - 9. Let m = 25 + z. What is the greatest common factor of m and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -1\/210*l**5 - 3 + 0*l + l**2 + 0*l**3 - 1\/42*l**4. Let n(a) be the second derivative of w(a). Suppose n(b) = 0. What is b?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 3*y**2 + 4*y - 2. Let u be k(2). Let w be (-36)\/u + (-39)\/(-91). Let g = w + 10. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + i + 1 = -2, 4*i = 2*k + 2. Let b be -4 + (k - (-2 - -10899)). Round b to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 4 + 3)*(59*q + 44982 - 44982 - q**2).\nAnswer: -6*q**2 + 354*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*g = -1952 + 565 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0496 times 0.043?\nAnswer: -0.0451328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -240*v**5 + 515*v**5 - 221*v**5 + (3*v + 3*v - 4*v)*(-7*v**4 + v**4 + 4*v**4) - 3 + 3 + v**5 - 4*v**2 + 4*v**2 - 4*v**5.\nAnswer: 47*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, h: 3, y: 4, j: 3, w: 1}. What is prob of picking 3 h?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-4))\/n**(3\/4)*(n\/(n\/(n*(n*n**(-3\/8))\/n*n)))\/(n*((n\/(n\/(n\/n**(-1\/5)))*n*n)\/n*n*n)\/n) assuming n is positive.\nAnswer: n**(67\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from loqcqqqtq. Give prob of picking 1 q, 1 o, 1 t, and 1 c.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1033\/6*v - 823\/6*v**2 + 1\/6*v**4 - 69 + 203\/6*v**3.\nAnswer: (v - 2)*(v - 1)**2*(v + 207)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + 24. Suppose 0 = -7*s + 9*s - 8. Calculate the greatest common factor of v and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u**2. Let y(s) = -11*s**2. Determine v(y(f)).\nAnswer: 484*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 134, 144, 154, 164, 174, 184?\n\"Answer: 10*w + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1341041041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 37643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 192.207 years in millennia?\nAnswer: 0.192207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -29*a - 126. What is the tens digit of u(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*v - 828 = 104*v - 2952 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 233, -2, -37 in ascending order.\nAnswer: -37, -2, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 3.2. Let p = -104\/21 - -14\/3. Let g = -423\/5 + 85. What is the nearest to g in m, 0.1, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r**2 - 5*r - 3. Let t(j) = j**3 + 2*j**2 - 5*j - 2. Let f = 633 + -639. Let w be ((-240)\/(-96))\/(5\/f). Determine w*t(k) + 2*y(k).\nAnswer: -3*k**3 + 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -29026917, -29026912, -29026907?\n\"Answer: 5*u - 29026922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 7*z - 21. Determine c(9).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -49*k**2 - 737274*k*q**2 + 455*q**2 + 74489*q + 2 wrt k.\nAnswer: -98*k - 737274*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 32 + -194b3?\nAnswer: -19481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-70)\/(-322))\/(-5))\/(8\/16)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 263 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8263, 33053, 74371, 132217, 206591?\n\"Answer: 8264*k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2. Let o(p) = 1 - 4 - 4*p - 2 + 5*p. Let x be (-2)\/(-5) - 56\/(-10). Determine x*h(v) + 2*o(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzt when four letters picked without replacement from tzztzzotozzzzzootzz?\nAnswer: 55\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 179254 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 219.581 * -0.283\nAnswer: -62.141423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90 - 3993*k**2 + 3992*k**2 - 52.\nAnswer: -k**2 - 142","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -177*o + 17. Let f(a) = 59*a - 6. What is 17*f(z) + 6*x(z)?\nAnswer: -59*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lcyjcalll. Give prob of sequence ac.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 51 + 105 - 53. Let d(y) = y**3 + 8*y**2 + 3. Give d(z) - 3*g(z).\nAnswer: z**3 + 5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47556912*r**3 - 282*r - 7*r**2 + 47556912*r**3 + 3851*r**5 wrt r?\nAnswer: 231060*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 275, 0, 4, -2, -3, 9.\nAnswer: -3, -2, 0, 4, 9, 275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1396 and 5235?\nAnswer: 20940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by 195.\nAnswer: 22\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50 - -50. Solve 2*z + 10 = -n*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 699*p**3 + 8*p**2 - 5*p. Let g(h) = 700*h**3 + 7*h**2 - 4*h. Let f(d) = -3*g(d) + 2*q(d). Let z be f(4). Round z to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -41*y**5\/5 - 35*y**4\/12 - 124*y. What is the third derivative of f(q) wrt q?\nAnswer: -984","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63 - 63 - 410*s**2)*(3 - 2 + 1).\nAnswer: -820*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 7 = -2*t - 2, 5*t - 14 = -3*j. Let m be (-13)\/(t + -2 + 0). Solve 0 = 3*u - m + 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 24*z = 22*z + 2691, 4*h + z - 2154 = 0. Calculate the remainder when h is divided by 156.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97ee4 (base 15) in base 16?\nAnswer: -75d36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.629199ml in litres?\nAnswer: 0.007629199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -900917256 take away 25?\nAnswer: -900917281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 717 = -3*n, a - n - 4*n = 208. Suppose 0 = -3*h - 0 + a. What is the remainder when h is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/1)\/((-295)\/590)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -43.4 times 0.45\nAnswer: -19.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h + 9*h**2 - 8*h + h - 2*h**2. Let k be v(4). Let g = k + 61. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 l when three letters picked without replacement from {q: 2, c: 3, l: 15}.\nAnswer: 21\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.188, -2\/9, -0.5?\nAnswer: -0.188","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -728*v + 11824 - 2400 = -1402*v + 522*v for v.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttabbqqttttqtq. Give prob of picking 1 b, 1 a, and 1 q.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10809011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppggsggxgggpxgpppg. Give prob of picking 1 x and 1 s.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2*w = -3*w - 12, -v - 2*w = 6. Suppose 3*o - 3*l + 7 = 2*o, v*o = -5*l + 19. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*w = 105*w - 54. Let a(m) be the first derivative of 0*m + 15 + 0*m**w - 1\/2*m**2 - 17\/4*m**4. Find the second derivative of a(h) wrt h.\nAnswer: -102*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -38) + -29 + 57 + -1 + -16\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of y**5\/20 + y**4\/8 + y**3 + 8*y**2. Let z be x(-5). Suppose d - z = -13. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 1627681880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 2*u - 63, -4*u = 111*f - 115*f. Solve -64 = f*s - 28 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -r. Suppose r*v - 4 = -v. Find the third derivative of -j**v - j**2 + j**2 - 3*j**2 wrt j.\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1574822 and 21022?\nAnswer: 914","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 7\/5 (b) 2\/3 (c) 2\/9 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -11001010 (base 2) to base 14\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -7*r + 221. What is j(31)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 7:46 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/3))**14)**(-24) assuming a is positive.\nAnswer: a**(-224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s**5 - 15340*s**4 - 316044*s**3 - 1126772*s**2 - 1014052*s - 187968 = 0. What is s?\nAnswer: -16, -3, -1, -1\/4, 979","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -36.1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 932479417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 3:26 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 - -30. Suppose -3*f = -5*i + i + 10662, -p*i = 4*f + 14194. Round f to the nearest one hundred.\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 553 times 605?\nAnswer: 334565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*t - 4)*(1 + 1 - 1) - 2*t + 4 - 4 + 7 + 1 - 7 - 37*t.\nAnswer: -41*t + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 54*c - 321. Determine v(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2504 divide 36595960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/2 + -1\/10. Let j be (-1 + -2)\/(20\/(-16)*4). Which is the closest to t? (a) j (b) -3 (c) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k - 7*k - 3*r - 39 = 0, 3*k - 6*r = 33 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4875127845?\nAnswer: 3, 5, 7, 1049, 6323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 4*z**2 - 2*z - 60. What are the prime factors of i(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28516*s + 4*o - 10 = -28522*s, -11 = -5*s - 2*o for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t + 542. Let j(c) = 181. Let l(w) = 3*j(w) - x(w). Suppose -19 = 4*d + 3*a, -5*d + 5*a + 23 - 3 = 0. Let i = 0 - d. What is l(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*v + 49*v + 44*v + 390 = 0 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, -155, 6872.\nAnswer: -155, 0.7, 6872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2027189 is divided by 337837.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*i - 17*i = 0. Let b be (i\/1)\/(0 + -2). Solve f - 2 + 7 = b for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 103 + -102.73. What is x rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (160\/(-3744))\/((-425)\/510).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 20*b - 573. Is 5 a factor of r(39)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 divided by 1?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 10*k + 13. Let t be p(-9). What are the prime factors of 28*(t + 1 + -3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56802805.\nAnswer: 5, 11360561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3582.\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4081328 - -6?\nAnswer: 4081334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t - 3*t - 4 + 9*t**2 + 2 to the form m*t**2 + r*t + d and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -21c - 1b?\nAnswer: -23a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + g - g)*(-g**2 + g**2 - 2*g**2) + (-3*g**2 - g**2 + 0*g**2)*(2*g + 4*g - 4*g) - 21*g**3 - 11 + 11.\nAnswer: -27*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 100308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*a + 2*a + 40*a to the form k + u*a and give u.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1462 at most 1463?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -313465 (base 7) to base 13\nAnswer: -1b811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -105, -144, -175?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 662 is divided by 131.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - 26*p + 21*p + 3, s - 3*p = -5 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45 + (-2 - (3 + -2)) + (-23 - -121) + -97.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/((-273)\/(-56)) - -1?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13968*b - 11312.\nAnswer: -13968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -2\/235?\nAnswer: -2\/235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 89 + -83. Suppose 0 = 2*q - y - c, y - 8 = -4*q + 2*y. Is q not equal to 4\/65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*-1*sqrt(684))**2 + (-4*(sqrt(684) + (-2*sqrt(684) - sqrt(684))) - (-3 + 1*sqrt(684))**2).\nAnswer: 84*sqrt(19) + 43083","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 5\/4*p**4 - 2 + 0*p**3 + 3\/2*p**2 + 0*p. Find the second derivative of w(u) wrt u.\nAnswer: 30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 76061\/15 - 5068. Let g = 97\/117 - -5309\/1170. Find the common denominator of g and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + 0.3. Let z = -447103.9 - -447104. Put n, z, -0.5 in decreasing order.\nAnswer: n, z, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -132*o. What are the prime factors of x(-2)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - 15 - (-13 + 3 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -71994 divided by -426?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i - 1. Let o(m) = -m**2 - 6*m - 5. Let x be o(-4). Let f be 32 + 5 + -2 - 1. Suppose -26 = -x*g + f. Let n(r) = -25*r + 20. Determine g*w(s) + n(s).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -5*o + 33, -3*o + m = -6 - 9. Suppose 108 = s - 2*c, 4*c = -s + o*s - 570. Is (s\/(-4))\/(8\/(-16)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 595, 776, 957?\nAnswer: 1138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*t - 29 = 0, 0 = -2*s + t + 8 + 3. Let y = -0.2 + 0.4. Which is the closest to -0.1? (a) 0.1 (b) s (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -8\/71569?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16\/7411 - -191659\/2956989. Find the common denominator of 13\/95 and z.\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 223, 263, 305, 349, 395?\n\"Answer: s**2 + 37*s + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*s + 40*s = 0. Solve s = -5*t - 18 + 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 54, -0.5, 2, -0.11, 1\/3, 7511?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -412*m + 101. Let j be s(13). Let y = j - -11102. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3528*x + 3522*x. Which is the smallest value? (a) -7 (b) 0 (c) 3\/14 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/2 and 49\/482899156.\nAnswer: 482899156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1990 - -2419. Calculate the remainder when g is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 27*j**3 + 4*j**2 + 5*j + 1. Calculate u(-1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 363*r + 247*r + 209*r + 368*r + 139*r**3 + 117*r**2 - 113*r**2 wrt r.\nAnswer: 834*r + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -505 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3481411?\nAnswer: 53, 65687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2022 - 2303113?\nAnswer: -2311201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.56 + 0.06. Let n = -19.5 - o. Let w = 12.8 + n. Round w to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -268952*i - 336441 with respect to i.\nAnswer: -268952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 7*u**2 + 5*u**2 + 1126 + 8*u - 1132. What is the units digit of k(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 2\/33*m**3 - 4\/11*m**2 + 6\/11*m + 7. Find u, given that y(u) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -28, -192, -646, -1534, -3000, -5188, -8242?\n\"Answer: -24*a**3 - a**2 + 7*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-54)\/(-777))\/(9\/42). Which is smaller: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (255\/(-30))\/((-1 + 2)\/(-10)). Suppose 0 = j - 3*m - y, 3*m = m. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 83259 and 9?\nAnswer: 83259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*c + 6*c. Let d = 4 - 2. Let a = -4 + d. What is the smallest value in 2\/3, a, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/10*4*100. Let r = u - 11. List the prime factors of r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19 + 9 + 5)*(10*g - 9*g + 3*g) in the form a + i*g and give i.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 267 (b) 13 (c) 81 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -139876*z**4 + 825044*z**3 - 1216609*z**2 = 0. Calculate z.\nAnswer: 0, 1103\/374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -b**5\/4 + 9*b**3\/2 - 5*b**2\/2 - 25. Let s(n) be the second derivative of i(n). What is the first derivative of s(g) wrt g?\nAnswer: -30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1284)\/1498*(392\/(-3))\/(-4).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) -4 (c) -1\/205\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*w**2 - 28*w**2 - 2*w + 83*w**2 - 25*w**2 + 152*w**3 - 52*w**2.\nAnswer: 152*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 2 - 2)*((-2 + 2 + 9*k)*(203 - 203 - 9*k) - 25 + 8*k**2 + 25).\nAnswer: -146*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9454, -824, 5, 31 in decreasing order.\nAnswer: 31, 5, -824, -9454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 568 and 639?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 104 - 98. Suppose 0 = -4*l + j*l - 52. List the prime factors of l.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -3*z + 7 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 21 = -4*n + 3*i, -2 = -2*n - 4*i. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -5\/3, -0.09, 11\/4, 1\/2?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -334*p - 2510. Determine t(-7).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3511\/(356\/(-24) - -15).\nAnswer: 2, 3, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 i when two letters picked without replacement from {w: 1, i: 2, o: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -19017, -76052, -171111, -304194, -475301, -684432, -931587?\n\"Answer: -19012*x**2 + x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55.92 - -55. Let f = -0.18 + h. What is f rounded to one dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 972 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1934 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-413)\/(-35))\/(6*(-8)\/(-30)) and 85\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 12. What is the smallest value in c, 7, 0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -4*c - 22, -4*n - 7 = 4*c - 3. Solve -i - n*u = 4*i, 5*u = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63338 = -q - y - 2*y, -190014 = 3*q - y. Let n = -37081 - q. List the prime factors of 4\/(-18) - n\/(-99).\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4040021 (base 6) to base 4.\nAnswer: 232311031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**2 - 9*m + 5*m**2 + 17*m wrt m?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*(sqrt(85) + (sqrt(85) - sqrt(85)*-2) + sqrt(85)))\/(sqrt(320)*-2 + sqrt(320)).\nAnswer: -5*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003099423878 rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*2\/2*4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 3*k + 42, 2*t = -t + 4*k + 29. Solve -h - t = 2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9846551 is divided by 62.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/5)\/j**(-1)*j**(2\/3)\/(j\/(j**2\/j))*(j**(-2)*j**(-1))**42 assuming j is positive.\nAnswer: j**(-1868\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -319*a**4\/4 + 230*a + 252. What is the derivative of k(j) wrt j?\nAnswer: -957*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000018909895 rounded to seven decimal places?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 117*n + 127*n + 6.\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 8*b - 54 = 0. What is the highest common divisor of 3 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-40)\/(-15) + -2 + (-506)\/(-6). Sort 3, h, -4 in ascending order.\nAnswer: -4, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/27 in 10, 14, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -6*c**2 - c - 4. Let w be k(-5). Let g = -86 - w. Let p = -58 + g. Solve -p*r - 40 = 5*a, -2*a - 5*r = -5*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-55)\/15 + 5\/(-15)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 17 - 7 = 0, -5*r - m = -185. Calculate the remainder when 110 is divided by r.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/6 and -8\/1493.\nAnswer: 8958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**3 - 4*v**3 - v**3 - 5*v**3.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339*m - 1872 = 2655 + 2403 - 1167 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 3*k**5\/10 - 9*k**4\/4 + 13*k**3\/2 - 9*k**2 + 6*k - 14. Factor c(b).\nAnswer: 3*(b - 2)**2*(b - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2249755155?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o. Let w(q) = -13787*q. Determine w(p(t)).\nAnswer: -27574*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -854, -852, -850, -848?\nAnswer: -846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10194 is divided by 56.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -6 - 4. Suppose 5*k + 12 = -3*n, -m*k = -n - k + 13. Suppose -5*a + 17 = 7. Solve a*v = 3 - n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 20*q - 560. Determine a(23).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -82*x - 9. Let q = 112 + -114. List the prime factors of l(q).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**3 - 2*n + 2. Let y(j) = j**4 - j**3 - j + 1. Let i(c) = x(c) - 2*y(c). Factor i(d).\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17747.239 + 17811. What is d rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.07, -4, -3, 0, -2 in decreasing order.\nAnswer: 0.07, 0, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 8*q**2 + 5. Let m(o) = 2*o**2 - 13*o**2 + 7*o**2 - 2. Let f(c) = -7*m(c) - 3*t(c). Differentiate f(y) wrt y.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**2 + o**2 - o**2 + (-3 - 3 - 7)*(5*o**2 - 4*o**2 - 2*o**2) - 5*o - 8*o**2 + 5*o - 3*o**2 + 0*o**2 + 5*o**2.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*n + 24*n + 15*n)*(-691 + 691 + 26*n**2)*(-5 + 2*n + 5)*(3 + 1 - 3).\nAnswer: -364*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 divided by -4.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -8*x + 32. Determine i(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c = 6774 - 2742. Let q = -22 - -37. Let w = 17 + q. Calculate the greatest common factor of w and c.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 119 and 5353691.\nAnswer: 5353691","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17201 by -103.\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*h - 4*r = 135*h + 672, 168 = h + 5*r. Let y be h\/108*-3 + 6. Find w such that 4\/3*w - w**3 - y + 5\/3*w**2 = 0.\nAnswer: -1, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - (8 + 0 - 3). Suppose 0 = -4*g + 25 + 19. Let s = f + g. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/3 - 7\/(-21)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 17*s**2 + 11. Let l(t) = 2*t**2 + 10*t - 4. Let h be l(-9). Suppose h = -0*d + 4*d. What is the tens digit of p(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q**3 - 2*q**2 + q - 4. Let n be h(-3). Let t = 240 + n. 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: Collect the terms in -4276*d - 3985*d + 8109*d.\nAnswer: -152*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((16\/(-20))\/(-1))\/2. Which is the nearest to h? (a) -2\/23 (b) -0.2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4*y + 5. Let b(p) = -11 + 19 - 9 + p + 0*p. Let u(m) = -1. Let h(k) = -3*b(k) - u(k). What is -6*h(s) + 5*w(s)?\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - 2*(-74)\/4. Suppose -y = s - 3*s. Suppose -a + 380 = a. What is the greatest common divisor of a and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnmlllnwwl. Give prob of picking 1 l, 1 m, and 2 n.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -272 + 4*y**3 - 726 + 1361 - 363.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 2*a**2 + a + 1. Let u be l(3). Suppose 0 = -0*b - 4*b - 5*p - 22, -3*p - 10 = 2*b. Let t = b + u. Solve 5*m - t - 5 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 346268 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 10*f + 17. Calculate o(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-102)\/176)\/((-90)\/1528). Let m = -18\/55 - s. Let u = 3034 - 27242\/9. What is the common denominator of m and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10026149 or -10026180?\nAnswer: -10026149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + g - 3. Let h be y(-4). Is h at least 42\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108)\/sqrt(6)*-5 - (4 + 2*sqrt(2) + -5).\nAnswer: -17*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1937 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 89*h**3*p + 222*h**3 - h*p with respect to p.\nAnswer: 89*h**3 - h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336*w = 98*w - 81*w + 10590 for w.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-2)\/(-8)*0\/10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 504 + -509. What is the remainder when 212 is divided by -3 + t + 54 + -2?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - o**2 - 2*o - 2. Let c(u) = 3*u**3 + 2*u**2 + 4*u + 25. Let z(v) = 4*b(v) + c(v). What is the units digit of z(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 + -32 + -51 - -23.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 11. Let q(v) = v**3 + 2*v**2 + 6*v - 3 - 3*v - 8*v. Give q(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11013 - 11014. Let u = 1.8 - 2. What is the biggest value in u, -0.3, -0.1, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 6*t + t. Suppose m - 1037 + 64 = t. Is 28 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -458 - -228. Let u = 261 - c. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 11 = 7. Calculate the remainder when 53 is divided by x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of b**3\/3 + b**2 + 5*b - 2. Calculate the common denominator of 31\/2 and s(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4207.814ml?\nAnswer: 4.207814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*p = 1594, -116*u + 121*u - 3*p - 8074 = 0. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.17103575 to three dps.\nAnswer: -2.171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -17*v + 0 - 5\/3*v**3 + 3\/2*v**2 + 1\/3*v**4. Is y(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 1668.\nAnswer: 1\/1668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000038297 to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rxrrj. Give prob of picking 3 r and 1 j.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 464, -0.05, -2.33?\nAnswer: -2.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.31 - -14.69. Let w = -14.6 + n. Let h = 78.2 + -78. Sort h, 3, w, 0.28 in decreasing order.\nAnswer: 3, w, 0.28, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10648, -10632, -10616, -10600, -10584?\n\"Answer: 16*c - 10664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44133?\nAnswer: 3, 47, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 168158746 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 1323 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*x, 4*w = -5*x - 0 + 2. Suppose -59 = 2*g - 65. Suppose -5*b = -g*b - 8. Calculate the smallest common multiple of b and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45 - 39. Suppose w = -t + 3*t. Suppose 19 - 22 = -t*o. Calculate the greatest common factor of 6 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 3:25 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x**3 - 18*x**2 + x - 6. Give h(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 77585411183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -7*v - 6. Calculate i(2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -264687264 to the nearest one million.\nAnswer: -265000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28484399 is divided by 578.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 74 - 73.9. Let w = -1 + 3. Which is the second smallest value? (a) k (b) 5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/(-2))\/(-5)*(-4)\/(-65).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 7 + 6 + -3 + 12.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -34?\nAnswer: 2f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**0*k*k))**1*(k\/k**6*k)\/(k**6*k)*((k\/(k*k**(-1)))**(-8))**(-4\/5) assuming k is positive.\nAnswer: k**(-28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*i - 9. Let d(r) = 4*r + 17. Let b(f) = -5*f - 16. Let n(x) = i*d(x) + 3*b(x). What is the units digit of n(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5 = 1. Suppose o*n = -3*a - a + 8, 4*n - 26 = 2*a. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60377844781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 690*z**5 - 123*z + 4?\nAnswer: 13800*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/2 (b) 87 (c) 4 (d) -4 (e) 463\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/36 and -7*(-6)\/(-294) - -6*2145\/88032?\nAnswer: 18864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.1 * -76\nAnswer: -159.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z + 0*z - z**3 + 2*z + (-106*z**2 + 12 - 12)*(z - 3*z + 0*z).\nAnswer: 211*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**8)**(-8\/9))**(-4\/5) assuming h is positive.\nAnswer: h**(256\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*g + 5. Suppose 0 = 2*o - u - 62, -2*u - 81 + 23 = -2*o. Let a = o + -15. What is the greatest common divisor of g and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gpnoccc. Give prob of picking 1 p and 1 c.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 231.7283 decades in years?\nAnswer: 2317.283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1532190455.\nAnswer: 5, 306438091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s. Suppose -12 = -0*x - 3*x. Let b = 30 - 21. Let h(f) = -2*f + 9. Let o(i) = i - 4. Let r(z) = b*o(z) + x*h(z). Give r(y(a)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 1076621 + 1958594 = 5*f, 3*n - 15 = 0. Let k = f - 177045. Round k to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + ((4 - -1) + -9 - 5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93529?\nAnswer: 93529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -564 - -1823. Let l = 69247\/55 - y. Sort -4\/3, -1\/2, l.\nAnswer: -4\/3, -1\/2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(6) + sqrt(24)) - (2 + sqrt(3))*-2.\nAnswer: 4 + 7*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 468 + -465. Which is the smallest value? (a) 4 (b) -22 (c) 2 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1722?\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -33683 (base 10) in base 6?\nAnswer: -415535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*k - 8*k**3 + 20*k)*(3 - k**2 - 2 - 4*k**2) - 21*k**2 + 21*k**2 - 4*k**5.\nAnswer: 36*k**5 - 8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**3 + 5*v**2 - 6*v - 8. Suppose -13*h + 36 = -7*h - 18*h. Give m(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*s + 616 = 1428 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -29. Let z be 0 + (s - (2 - 3)). Let v = z - -16. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/((sqrt(70)*2)\/sqrt(10) - sqrt(7))*-1.\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1416480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g**4 - g**4 + 2*g**4 - 12*g**4 - 2*g**4 + 0*g**4 + (-g**3 + 0*g**3 + 2*g**3)*(6 + 25*g - 6) as j*g + u*g**3 + h*g**4 + o + d*g**2 and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2764.6 - -2764.7. Which is the closest to q? (a) -1\/9 (b) 23 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -23, -3, 44.7, -3\/7?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2. Let d(t) = -125*t. Let b(u) = -373*u. Let c(z) = 2*b(z) - 7*d(z). What is s(c(r))?\nAnswer: -33282*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + j + 87, 4*u - 4*j - 100 - 76 = 0. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -536.4 and 55711137750.\nAnswer: 55711137213.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 658888*w**2 - 1317769*w**2 + 658890*w**2.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 3. Find the second derivative of -18*l - 12*l**u - l - 12*l**2 + 5*l**2 wrt l.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 2*y + 8, 5*y = 4448*h - 4452*h - 18 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 8*i - 11. Let v be c(9). Let h(t) = t**2 + 31*t - 1. Calculate the remainder when h(-32) is divided by 124\/16 - v\/8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.5 take away 0.00485588?\nAnswer: -3.50485588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13650*o**3 - 2*o**2 + 2*o - 6801410?\nAnswer: -40950*o**2 - 4*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/4)\/(0 - -1). What is the closest to 3\/2 in -0.1, 4, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15*6\/(-5)*85. Is -1528 at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/70*4\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -78, -582, -1938, -4572, -8910, -15378, -24402, -36408?\n\"Answer: -71*b**3 - 7*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 711, 5 in decreasing order.\nAnswer: 711, 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = b, 5 = -2*g - 2*b - 11. Let r = -2 - g. Let h(s) = -6*s - r*s**2 - 5 - 7*s + 21*s. Determine h(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z + 29. Let o be v(-7). Suppose -7*y + 1 - o = 0. Let q = -0.04 + 4.04. Which is the nearest to -0.1? (a) q (b) 1\/2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 104 = 4*n + 387, -6 = 2*l. Let x = 129 + n. Solve -14 = x*q + f, 4*q - q = -f - 11 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 2471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 2*g + 15. Let r be t(-3). Sort -5, -9, -4, r.\nAnswer: -9, -5, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21151, -42303, -63455, -84607, -105759, -126911?\nAnswer: -148063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 12*k. Suppose 2*x - 5*n - 1 = -4*n, n = 3. Suppose x*j + 4 = -5*d + 28, 2*j - 3*d - 8 = 0. Is s(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -56?\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 49597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(-2 + 2*i + 2) + 89*i + 124*i - 34*i + i - 2*i + 3*i - 3*i + 3*i + i + (-2 - 2 + 2)*(2*i + 2 - 2) - i - i + 0*i.\nAnswer: 174*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -6*z + 3 + 0 - z**3 - 9*z**2 - 2. Let y be -9*(-2 - -3)*1. Is d(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*x**4 + 5*x**3 + x + 0*x - 6 + 14 - 5*x**3 + 2*x**3 as j*x**3 + a + r*x**2 + v*x + o*x**4 and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-520)\/(-12))\/(4\/(-469)). Let x = o + 5094. What is the common denominator of (-2)\/(-4) + (-388)\/(-32) and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -22*-1*(9 - -2). Let l(y) = -y**3 + 230*y - d*y + 4*y**2 - 16*y**2 - 6. Let z be l(-11). Solve 0 = -3*i - w - 3, 0 = -z*i + w + 3*w - 22 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43684306 to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n + 2*n + 2*n - 4*n + 3*n + 0*n + (n + 4 - 4)*(-3 - 1 + 3) + 3*n - n + 0*n)*(-2*n**3 + 5*n**3 - 4*n**3).\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -63 + 63.1. Let o = 48.9 + -44. Let s = o + -5. What is the second biggest value in d, s, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3198*u + 3197*u - 3 = -p, 2 = p for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i*r**5 + 3502*i*r**4 + 3*i*r**3 - 3*i*r - 5879*r**2 wrt r?\nAnswer: 120*i*r**2 + 84048*i*r + 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 30*b**2 - 16*b - 17. Give p(-1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2516, -2510, -2494, -2462, -2408, -2326, -2210, -2054?\nAnswer: -1852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, y: 4, q: 9}. What is prob of sequence qwqw?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence waw when three letters picked without replacement from {q: 9, w: 2, s: 2, a: 6}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 3*o = 10 + 4, 5*m = 9*o + 35 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(8640)*-2 + sqrt(8640)*-1*5)\/(4*-2*sqrt(1200)*1).\nAnswer: 9*sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299927 is divided by 6381?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b. Let n(y) = -151993*y**2. Give d(n(w)).\nAnswer: 151993*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**2 + 4*y**2 - 3*y**2 - y to c*y**2 + h*y + v and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 838?\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4255 and 1091833.\nAnswer: 5459165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-241*i + 522*i - 267*i + 2*i**2)*(-9*i**2 + 44*i**2 - 18*i**2).\nAnswer: 34*i**4 + 238*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2274 - 1856. Calculate the lowest common multiple of 3 and i.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 1:44 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1192146 to the power of 1\/2, to the nearest integer?\nAnswer: 1092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7646, 7635, 7614, 7577, 7518, 7431?\n\"Answer: -x**3 + x**2 - 7*x + 7653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 2*i - 2176 = 2*s, 2155 = 5*s - 5*i. Calculate the greatest common factor of s and 124.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 66 = 5*s. Which is smaller: -12 or s?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1379215, -1379212, -1379207, -1379200, -1379191?\nAnswer: -1379180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b**5\/7 + 74*b**4\/7 + 148*b**3\/7 + 48*b**2\/7 = 0.\nAnswer: -4, -3, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ftff when four letters picked without replacement from fffttft.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2826 + -2809. Solve 20*j + 43 = -n for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.01 at most as big as 1\/6720?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 170*h + 8325. Let l be w(-49). What is the second smallest value in -3, 39, 0.3, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 40 + -4100110?\nAnswer: -4100050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of 0*z**2 + 3\/4*z**4 + 0 + 0*z**5 + 0*z**7 + 7*z + 0*z**6 + 0*z**3 + 1\/56*z**8. What is the third derivative of c(h) wrt h?\nAnswer: 120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 3 + 3 + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4b7 - 1717?\nAnswer: -1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 257539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 150\/(-4)*10\/(-8)*2384\/(-4470)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1997364 divided by -17.\nAnswer: 117492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.6 rounded to 0 dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(-182) + 275\/(-70)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.433329429 to two dps.\nAnswer: 3.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1738*y + 1555*y + 11346 = 0 for y.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*sqrt(1188))\/(sqrt(48) - sqrt(192) - sqrt(48) - 6*sqrt(3)*-2) + 0.\nAnswer: -9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -4*x + u, 2*u - 3*u = 6 - 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ljj when three letters picked without replacement from ljuljjll?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/22 + (-72)\/(-33). Suppose -2*j - 8 + u = 0, -g = -3*j - 56. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = 11*r - 78. Let f = -7 - -9. Find the second derivative of -38*g**2 + r*g**2 - 7*g - 6*g - f*g wrt g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6701589949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.156028l in millilitres?\nAnswer: 9156.028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2*h = 2*i - 26, 4*h = -4*i + 44. Let y be 15\/(-40)*2 - (-22)\/i. Factor -j - j - j**2 + y*j - j.\nAnswer: -j*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3079683905 to the nearest integer?\nAnswer: 1455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 10 = 6. What is the common denominator of 63\/h + 6 - -2 and 131\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 5198\/5 + -1018. Is 23 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 885199264 from -600928.\nAnswer: -885800192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.7 + 7. Let o = -5 + m. Suppose f + 13 + 4 = 5*q, 3*f + 2*q = 17. What is the third biggest value in o, 2\/11, f?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -6*r. Let a(y) = -14*y. Let c(u) = -7*u. Let n(o) = -o**2 + 2*o + 21. Let x be n(-4). Let z(q) = x*a(q) + 5*c(q). Calculate d(z(v)).\nAnswer: -42*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*x = 23*x + 168*x - 177*x - 6322 for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - -1 - (-1121)\/(-152)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 1\/2 (c) 2104 (d) -4 (e) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3416 + 3?\nAnswer: -3413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(425))**2 - (sqrt(187) + 3*sqrt(187))\/sqrt(11)) + ((-3 + sqrt(17) - sqrt(17))*3 - -1*sqrt(102)\/sqrt(6)).\nAnswer: -3*sqrt(17) + 6791","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 92921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2564777.\nAnswer: 97, 137, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 341 + 343 - 646 + 334 + 23*z - 372.\nAnswer: 23*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 1 = 4*o + 3, -3*l + 100*o + 4 = 99*o for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5127*p**3*u**2 - p**3*u + 56*p**3 + 4*p**2*u - 538*p**2 - 3*u**2 - 8 wrt p.\nAnswer: 30762*u**2 - 6*u + 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847) - ((sqrt(847) - (sqrt(847)*1)**2) + 0).\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 425, 3259, 10955, 25943, 50653, 87515?\nAnswer: 138959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of 23*h**4\/24 + 47*h**3\/12 + h**2\/2 + 13*h - 5. Factor k(m).\nAnswer: (m + 2)*(23*m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2346 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 2*a - 16, -13*g + 8*g + 2*a = 0. Find the first derivative of -7*z**2 + 15*z**2 - 50*z**g - 24 + 12*z**2 wrt z.\nAnswer: -60*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -11. Let h(r) = 2*r**3 + 2*r**2 + r. Let u be h(3). Suppose -5*l = 3*b - u, -4*l - 3*b + 48 = -12. Is m not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -113046 = -140\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(104) - (sqrt(104)*1 + sqrt(104)))*1 - sqrt(104)) + (sqrt(104) - (-1*sqrt(104) + sqrt(104)))*-5)\/((sqrt(8) + 1*sqrt(8) + sqrt(8))*-2*-3).\nAnswer: -7*sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.31 in 7, 68331, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**5\/2 - 20*w**4 + 14063*w**3\/2 - 13527*w**2 - 139086*w - 167508 = 0. Calculate w.\nAnswer: -141, -2, 6, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*m, 2 = 3*d + 4*m - 22 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2508002627.60000742 + 2508002858.6. Let f = z + -231. Round f to seven dps.\nAnswer: -0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -r**9\/6048 - r**8\/672 - 5*r**7\/1008 - r**6\/144 - 7*r**4\/6 + 6*r. Let l(q) be the third derivative of o(q). Factor l(i).\nAnswer: -5*i*(i + 1)**2*(i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o + 11. Let j(t) = t + 10. Let m = 12 - 8. Let w(p) = m*q(p) - 5*j(p). Let n be w(3). Solve 8 = 4*s + n*i - 4*i, 2*s = 3*i + 14 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 12:44 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -1451*j - 236560. What is q(-163)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*d, 0 = -3*x + 5*d - 12 - 216. Let t = x + 189. Let q = 10 + 2. Calculate the highest common divisor of q and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/3))**(3\/2)\/(l\/l**(1\/4))**21 assuming l is positive.\nAnswer: l**(-65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -5*t - 3. Let d(q) = -21*q - 13. Let s = -3310 - -3301. What is s*f(j) + 2*d(j)?\nAnswer: 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 10*h. Let c be g(2). Let d = 10 - 5. Suppose d*b = 2*b + 6. Solve -c = -b*f + 6*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -681 + 926. Suppose -3*n = p - n - 270, -p + f = -3*n. Does 26 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4*sqrt(20) + 1*(-1 + sqrt(125))**2.\nAnswer: -18*sqrt(5) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5*r + 687 = 140, -402 = -3*y + r. Calculate the highest common factor of y and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -745*w - 96. Let h(r) = -124*r - 17. Calculate -34*h(j) + 6*q(j).\nAnswer: -254*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -472 - -515. Suppose o*n = 10477 + 46197. List the prime factors of n.\nAnswer: 2, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3136 take away -382141.2?\nAnswer: 382140.8864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 378?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3130 = 42*y + 106. Calculate the greatest common factor of 99 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172715?\nAnswer: 5, 34543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)\/(-2*sqrt(7)) + sqrt(931)*-4 - (-2 + sqrt(190)\/sqrt(10) + 0 + sqrt(19) + 0))**2.\nAnswer: -122*sqrt(19) + 70715\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (2 - 0) - 3) + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**2 + 49*q + 1030. Let y(u) = 4*u**2. Determine l(y(k)).\nAnswer: 48*k**4 + 196*k**2 + 1030","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 69*z + 2. Let i(k) = 64*k + 5. Determine -5*d(a) + 4*i(a).\nAnswer: -89*a + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/27 + (-43)\/9. Let z(d) = d + 1. Let l(j) = j - 1. Let q(m) = -l(m) + 3*z(m). Determine q(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2. Let v(y) = -1207*y**2. Give v(a(t)).\nAnswer: -1207*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1128*a**4*m**3 + 891*a**4 + 4*a**2*m - 20656*a*m**3 + a*m**2 + 1 wrt a.\nAnswer: 27072*a*m**3 + 21384*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-5))\/(-1*(-24)\/(-20)). Is r greater than 5\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 164 = 8*y, -y - 1091 + 1078 = -3*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10657 or 10660?\nAnswer: 10657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*m + 15846 = -42399. Let t = m + 2852. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 2*w**2 - 14. Let v(x) = -43*x**2 + 81*x**2 - 37*x**2. Give v(y(z)).\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*j**2 - 22 + 127*j**2 + 22.\nAnswer: 114*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/20 + (-120)\/(-25). Suppose -t + 50 = 4*t - m*q, -q + 14 = 2*t. Let s = 12 - t. Let g(v) = v**3 - 5*v**2 + 6*v - 1. Determine g(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 8) in base 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31692 = -5*m - 2*b, -5*m + 0*m + 3*b + 31712 = 0. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 30, 54, 78, 102, 126?\n\"Answer: 24*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-136)\/20*255\/68)\/(21\/28).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2801*v - 162314. Calculate k(58).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 67 = 210*l - 666 - 297. Find c such that 63\/5*c**4 - 3\/5*c**l - 441\/5*c**3 + 0*c + 0 + 1029\/5*c**2 = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4735, -4502, -4123, -3604, -2951?\nAnswer: -2170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42) - (sqrt(42) - (sqrt(42) + sqrt(42)*-2))*5)\/(sqrt(30)\/(sqrt(5)*-2)) + 4.\nAnswer: 4 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 14*h**2 + 11*h - 467. What is the tens digit of p(-22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -229277 - -40a?\nAnswer: -228968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 43 - 38 - 25 + 6*n in the form u*n + v and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2, 3, 5, 97 in decreasing order.\nAnswer: 97, 5, 3, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259*o - 4533*o = -14178 + 65466 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-7))\/(234\/(-364))*(-14)\/(-8).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 6056.6, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*z + 5*z. Let k(n) be the first derivative of n**3\/3 - 2*n**2 + 3*n + 2. What is the units digit of k(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2\/7 - 8577*j\/7 + 1203684\/7.\nAnswer: 3*(j - 2711)*(j - 148)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0.7 (b) 42.5 (c) 2\/309\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/30*-4*-6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 42?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 + 36. Suppose y*u + 2 = u. Let g(k) be the third derivative of k**4\/12 - k**3\/3 - 2*k**2. Calculate g(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 16422.\nAnswer: 131376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 2. Let b(i) = 6*i - 1 + 0*i**2 + 3*i**2 - 4*i**2. Let v be b(r). Solve 0 = -m - v + 3 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z**3 - 5*z**2 + 8*z + 5. Let m(o) = -3*o**3 - 4*o**2 + 7*o + 4. Let b(g) = -4*c(g) + 5*m(g). Determine t, given that b(t) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42332*x + 19929*x + 22401*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -45*x**3 + 20*x**2 - 5547.\nAnswer: -135*x**2 + 40*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 4:34 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 7 (c) -28 (d) -5 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/8764 and -16\/59157.\nAnswer: 236628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 81*j - 81*j + 0*j**2 - j**2. Let c(w) = -4. Let m(z) = 6*z + 24. Let u(g) = 6*c(g) + m(g). What is l(u(a))?\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -8, 3*c = 2*w + 81 - 93 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 + (0 - -1))*(-46)\/(-36340)*-79?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, 2, 7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 57841160?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -608101647 by 4.\nAnswer: -608101647\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -5*i**2\/2 + 11363430*i + 22726865\/2 = 0?\nAnswer: -1, 4545373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4796 + 3883?\nAnswer: 8569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 173930 to the nearest 10000.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -88*h. Let t(u) = 2227*u. Determine v(t(a)).\nAnswer: -195976*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -25968432 divided by 488?\nAnswer: -53214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292*h - 30 = 282*h + 170 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*c**3 - 4324*c**2 + 78848*c + 65856 = 0 for c.\nAnswer: -4\/5, 21, 196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*w = 66*w - 336 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/6 or -76?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -5 + sqrt(2057) + -1 + 5)**2.\nAnswer: -22*sqrt(17) + 2058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 26*w - 50. Give g(27).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u**30*u))\/u)\/u)**(-50) assuming u is positive.\nAnswer: u**1600","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 6*t - 8. Let i be ((-18)\/(-8))\/((99\/(-24))\/11). Calculate f(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1658402 to the nearest integer?\nAnswer: 1288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -1, -21\/8, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 64533262 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.628263cm in meters?\nAnswer: 0.04628263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -67*q**3\/9 + 878*q**2\/9 - 91*q\/9 = 0.\nAnswer: 0, 7\/67, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 113587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -5. Suppose 3*x - 6*x - n = 0. Let s(h) = 2*h - 2. Let k(m) = -6*m + 6. Calculate x*k(i) - 7*s(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 16*21980\/(-25120)*(2\/2)\/((-7)\/(-6))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 12) to base 14.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 163, 326, 489, 652?\nAnswer: 815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + 0 + sqrt(19))**2 - (sqrt(209)\/(2*sqrt(176) - sqrt(176)))**2.\nAnswer: -1539\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d, -3*q + 7*d - 15 = 8*d for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 26*y**2 - 13*y - 33. Let g be i(-26). Let t = -310 + g. Put -4, t, 0 in ascending order.\nAnswer: t, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 600.6785 to the nearest ten.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -p**5\/30 - 3*p**2. Let r(g) be the first derivative of 5*g**2\/2 + 1918. Determine c(r(a)).\nAnswer: -50*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + 2. Let q(x) = x - 1. Let a be q(3). Suppose -5*z + 3*h - 4*h = -11, a*h + o = 4*z. Is 3 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 1 a and 2 k when three letters picked without replacement from {u: 1, f: 1, b: 1, a: 12, k: 4, n: 1}?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -14 + -3 + 25 + -24?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/4 - (-41)\/4. Suppose 40*z + 46 - 194 = 52. Suppose 0 = 5*m - z - u. Solve m*r = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67 + b + 4*b + 70.\nAnswer: 5*b + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 44*b*j**3 + 918*b*j**2 - b*j - 6*b + 7*j**3 - 488*j**2 - 1904*j wrt b.\nAnswer: 44*j**3 + 918*j**2 - j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 294 and 51.\nAnswer: 4998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence scf when three letters picked without replacement from cssfccffffccffc?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - (8 - 35)) + -15 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9481, 9475, 9473, 9475, 9481?\n\"Answer: 2*h**2 - 12*h + 9491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 2*g = -16, 8 = -4*m - 3*g for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.670043242 rounded to four dps?\nAnswer: -3.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11779 + 23557\/2. What is the second biggest value in t, 0, -4, 1\/2, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30.8 - -8.9. Let d = f - -22. Sort -1\/4, 3, d in decreasing order.\nAnswer: 3, d, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*i - 13 - 18*i + 80*i - 18*i + 13 + i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 11*l**2 + 82*l - 18. Let w be k(5). Let z(q) = 32*q + 11. Let y(n) = 11*n + 4. Determine w*y(d) + 3*z(d).\nAnswer: 8*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of s**7\/490 - s**6\/56 + s**5\/20 - 3*s**4\/56 + 30*s**2 - 2*s. Find a such that c(a) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1540 divided by 154\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5058206 + -4.\nAnswer: 5058202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2438407.5 rounded to the nearest one thousand?\nAnswer: 2438000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -899*l - 4309 + 1168 = -908*l. Solve l = -8*q + 381 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -4, 1, 2 in descending order.\nAnswer: 3, 2, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6390971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-1\/3)*x*x)**(-1\/7)*x**(2\/3)*x\/((x*x**(-2\/5)*x)\/x*x))\/((x**0)**(-2\/9))**(1\/31) assuming x is positive.\nAnswer: x**(-11\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7353, -14681, -21985, -29265, -36521?\nAnswer: -43753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 14973936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6871243 grams in milligrams?\nAnswer: 687.1243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 105922 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*25\/540*-2.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24.89 + 25.09. Let p = 2\/5 - 1\/15. Which is the closest to p? (a) s (b) 31 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7659*c**2 + 14350*c**2 - 193*c**2 - 2905*c**2 + 8464*c**2.\nAnswer: 27375*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6841?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m**(-1\/12)*m))**(2\/141)*(m**(-6)*m*m)**(2\/7) assuming m is positive.\nAnswer: m**(-6677\/5922)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-16)\/k)\/k)\/(k*k**(-13)))**(-3) assuming k is positive.\nAnswer: k**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) 0.3 (c) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34486*x + 34490*x = -5*i - 32, 4*i - 5*x = -1 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -170*g + 122*g - 528 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 8 = -0. Suppose -2 = p - 5*f + 7, 4*f = -m*p + 10. Calculate the smallest common multiple of 10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -728 = -23*n - 81*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 greater than or equal to 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2478 = -416*s + 418*s. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i - 96 = -3*w, -91916*i + 91919*i + 372 = 9*w for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 18 - ((-58 - (3 - 15)) + -31 + 23)\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4470366 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: Which is the fourth smallest value? (a) -2 (b) -317 (c) 0.1 (d) -0.4 (e) -3\/79\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1580*k**5 - 1103*k**2 + 19303728*k + 1.\nAnswer: 31600*k**3 - 2206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -490*k - 69020 = 167*k - 8*k + 163*k for k.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 3*j - 2. Suppose -5*y + 12 = -3. Let l(s) = -s**2 + 0*s**2 - 1 + 0. Let h(t) = y*l(t) - d(t). Solve h(r) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -5\/12*n**4 + 0*n**3 + 5\/2*n**2 - 8*n + 13. Let j(v) be the first derivative of i(v). Factor j(s).\nAnswer: -5*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45 + 61. Suppose 33 = h*b - 15. Suppose -2*t + 3*y - 5*y + 6 = 0, -5 = -b*t + y. Solve -t*d + 1 + 1 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 - -25 - -12 - -22\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 769, 718, 661, 598, 529?\n\"Answer: -3*j**2 - 42*j + 814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 360 and 760?\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from mmmmmmmlmlmmmmmmlm?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -44*a - 6 - 41*a - 41*a - 47*a + 174*a. Suppose 5*q = 5*y - 60, -7*q - 12 = -y - 2*q. Let o = y + -6. Let d(t) = -3*t + 17. What is o*d(l) + 17*n(l)?\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -423.\nAnswer: 42.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2)*(-33)\/((-132)\/(-56))*1\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, b: 1, a: 1, i: 2, r: 3, m: 1}. Give prob of picking 1 i and 1 m.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -912 divided by 11978?\nAnswer: -456\/5989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 102748 (base 9) in base 2?\nAnswer: 1110111010111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 232 = 5*y, -4*y + 8*y - 83 = -x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 18*c - 20. Let i be s(17). Let h be ((-9)\/i + -5)*-58. Suppose 7*x - h + 32 = 0. What is the remainder when 82 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 7*r**5 - 10*r**4 + r**3 + 24*r**2 - 16*r + 4. Let h(d) = -6*d**5 + 9*d**4 - 23*d**2 + 16*d - 4. Let m(q) = 5*h(q) + 4*t(q). Let m(y) = 0. What is y?\nAnswer: -2, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 24208?\nAnswer: 266288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s - 1. Let p(k) = -5*k**2 + 4*k - 3. Let v(t) = 5*j(t) - p(t). Let y = 17 + -21. Let r(u) = 6*u**2 + u - 2. Let c(w) = y*r(w) + 5*v(w). Give c(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 28)\/(48\/(-32)). Suppose 15 = d - k. What is the units digit of (-68)\/(-11) + (-6)\/d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5234 (base 6) to base 12.\nAnswer: 81a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -81738*j**5 + 15732*j wrt j.\nAnswer: -1634760*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 3 - 4)*((-4 - 1 + 4)*(-t - t - t) + 0 + 0 - t + 6*t - 6*t + 11*t)*(-3 - 2 + 3)*(1 + 2 + 1) to the form s + x*t and give x.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17134 and 858.\nAnswer: 565422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*n = -8. Let l = n - -3. Let g be (87\/(-39) - -2)*(-4)\/6. Which is the closest to -2\/7? (a) 0.4 (b) g (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9894847468*g + 1 - 19*g**2 + 9894847468*g - 1 + 14*g**2.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184784 is divided by 1216?\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3414584723 to the nearest integer?\nAnswer: 58434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 7*x - 13. What is c(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(9\/4)*v)*v*(v\/(v\/v**(1\/6)*v))\/v*(v\/(v**(-8)\/v*v))\/v*v**(-4\/3)\/v)**(-16\/3) assuming v is positive.\nAnswer: v**(-76\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 59 + -58. Suppose -6 - y = -r + 3*p, 0 = 2*r - 4*p - 4. Let x(d) = -4*d - 19. What are the prime factors of x(r)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -167408325 divided by 45\nAnswer: -3720185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 554371*j**3 + 333271.\nAnswer: 1663113*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*q = -8, -5*q + 13 = -7. Suppose 0 = x*h - 3*z - 29 - 17, -z = -2*h + 22. Calculate the least common multiple of 18 and h.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -27*a**2 - 2*a + 2. Suppose 0 = 2*k - 1654 + 1564. Let g(d) = 594*d**2 + 45*d - 45. Give k*r(o) + 2*g(o).\nAnswer: -27*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -28a66 + 71?\nAnswer: -289d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -33, -31, -29?\n\"Answer: 2*v - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 9*k**2 + 10*k + 2. Let p be d(10). Let j = 999 + -1001. Which is the nearest to 0.5? (a) -4 (b) j (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*g - 20662 = 20394, -4*c + g = -164186. Let a = -14893 + c. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.04 + -0.21. Let i = -0.171 - a. What is i rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33\/4 - 8. Let o(y) = y - 1. Let r be o(5). Suppose -7 = n - 0*x + r*x, 3*x + 9 = 3*n. What is the nearest to n in 4, 2\/15, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/155 and 38\/27187.\nAnswer: 135935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -244 - -4638\/19. What is the closest to -1 in -2\/11, v, 0.4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -61*f - 77*f + 2968794. What is the ten thousands digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41 + 60. List the prime factors of t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-39)\/26*(1 + -15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -7*m. Solve -5*a + 2*g = -8, 0 = 2*a - m*g - g - 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -244 - 24613?\nAnswer: -24857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4 = 4*n + 15, -5*h = -5*n + 30. Let w = h - -13. Suppose 2*p + 164 = w*p. What are the prime factors of p?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48977 and 1071?\nAnswer: 3085551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 2766 - 9299 = -415. Is 5 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-739127.\nAnswer: -1478254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -174 or -748?\nAnswer: -748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 3076.0695 minutes?\nAnswer: 2.136159375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - ((-24)\/(-14))\/(4\/(336\/(-18)))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 1 - 53*u**2 + 116*u**2 - 3*u - u**3 - 58*u**2 + 5. Let d(p) = -p**2 + 6*p - 3. Let m be d(4). Calculate t(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 112 = 2*i, 84 = -2*b + 5*b + 5*i. Is 276\/14 - (-2)\/b*4 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 24. Solve -4*p - 6 = z for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/83 and -59\/3?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2570*b. Let i(x) = -393*x**2. Determine r(i(m)).\nAnswer: 1010010*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + -329323.6?\nAnswer: -329337.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1287, -2516, -3615, -4518, -5159, -5472, -5391, -4850?\nAnswer: -3783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 58249, 116495, 174741, 232987?\n\"Answer: 58246*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - x + 3 + (-2*x + 5*x - 5*x)*(1 + 2 - 5) + 10*x + 3*x - 7*x + 5*x + 3*x - 3*x + (2*x - 5*x + 2*x)*(2 + 1 - 1).\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 + 4*f**2\/5 - 2*f - 4\/5.\nAnswer: 2*(f - 1)*(f + 1)*(5*f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.1 - -0.1. Let t = -11.17 - -0.17. Which is smaller: l or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwww when four letters picked without replacement from {e: 2, w: 17}?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3d6 - 1e?\nAnswer: -405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*((-63)\/27)\/(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -6*x**3 - 5*x + 6*x**2 + 2*x**3 + 3*x**3 + 4. Let q(d) = 4*d**2 + 21 - d**3 - 4*d - 18 + d**2. Give 5*q(w) - 4*y(w).\nAnswer: -w**3 + w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 157360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 9) in base 11?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 119 and 812.\nAnswer: 13804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 26, 147, -251?\nAnswer: 147","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31803307 is divided by 110.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 14.5. What is the nearest to -0.3 in q, 0, 2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j - 8. Let h be z(-3). Suppose 5*x + 7 = 4*g + 22, 4*x - 12 = g. Suppose 7*p - 2*p = 20. Put -4, g, h, p in descending order.\nAnswer: p, h, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 42969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, e: 3, h: 2, w: 1, u: 1, c: 1}. Give prob of sequence wz.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 765582 - 765562. Let x(l) = l**3 + 5*l**2 - 2*l - 6. Let t be x(-4). Let i = -11 + t. Calculate the remainder when m is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 275340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3206203 divided by -22421?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*d**3 - 8835*d**2 - 11120*d + 19935 = 0. Calculate d.\nAnswer: -9\/4, 1, 443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319 is divided by (56\/(-6) + 9)*-48.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 350041763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 r when two letters picked without replacement from yyrrryyyrr?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14966829 and 1431.\nAnswer: 1431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15399117 to the power of 1\/2, to the nearest integer?\nAnswer: 3924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + sqrt(143)*-1*6 - sqrt(143))\/(sqrt(1584)*-2 + sqrt(1584)).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -6892051.\nAnswer: 1\/6892051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14121890*w**3 + 21029393 wrt w.\nAnswer: 42365670*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + -1 + -13 + 18. Suppose -2*x = 5*g + 1163, d*g + 129 = -3*x - 807. Let p be 5*-1*g\/55. Solve -2*i + 5*a + p = i, 5*i - a = 13 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 6 = 3*j - 3*x, -3*x - 30 = 5*j. What is the remainder when 53 is divided by 31\/1 + (j - 0\/1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 4*b**5\/5 + 5*b**4 - b**2\/2 + 192*b - 81. Find the second derivative of d(g) wrt g.\nAnswer: 48*g**2 + 120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4455203 (base 8) to base 5\nAnswer: -301442234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 10 + -1 + 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -4 (b) -3\/4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**3 - 3*r**3 + 3*r**3)*(4 - 1 - 4)*(3*r - 6*r + 4*r).\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 604637156?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9368.395g to micrograms.\nAnswer: 9368395000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(297)\/sqrt(11) + -1.\nAnswer: -1 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-1)\/l)\/l)\/l)**(-48)*(l\/l**(8\/7))**(3\/25) assuming l is positive.\nAnswer: l**(33597\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 57041 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12796388 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*y + 35*y = 2150. Let o = y - 220. Let m(n) = 5*n + 3. Let f(a) = -a + 1. Let b(w) = -4*f(w) - m(w). Determine b(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 5) to base 7.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/12 + (-144)\/918. Which is smaller: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p**3 + 25*p**2 + 14*p + 47. Determine l(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 65.3 + -160.13\nAnswer: -94.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1628553962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -110*y**2 - 4294*y - 165. Give j(-39).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r - 43*r - 108 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/6)\/((-2)\/(-16)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74 - 30. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82255 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 113409937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 - 0*2\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/12)\/(2\/(-1)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 4*z - 5*a + 20, -3*z + 14 = 4*a. Let g be z\/(-3)*15\/(-1). Suppose 228*d = 253*d - 75. Solve -5*p = -2*p + d*c + 9, -4*p - 3*c - g = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4764116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8575031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.3032 and -4.\nAnswer: -5.3032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 - -199. Which is smaller: v or 229?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = r. Suppose r = -0*z + 2*z. Find the third derivative of 5*n**2 + 0*n**5 - 2*n**5 + z*n**2 - 2*n**2 wrt n.\nAnswer: -120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 14 = -2*p, 12 = 2*d - 0*d + p. Solve -5*u - d*x = -20, 0 = -u - 0*u + 4*x - 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17.563 + 16.5629. Let p = -1 - a. What is p rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121544 divided by 233\nAnswer: -121544\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 divided by -491?\nAnswer: -238\/491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76461 + 77262 = 159*c + 108*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c47 (base 15) in base 6?\nAnswer: -112021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -89*p**3 + 58*p**4 + 89*p**3 + (2*p + 2*p**2 - 2*p)*(-4*p**2 + 0*p**2 + 3*p**2).\nAnswer: 56*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/(175\/(-18)))\/((-9)\/(180\/(-8))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 - -0.2. Let l(d) = d**2 + 3*d - 2. Let s be l(-4). Which is the smallest value? (a) s (b) -2\/7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 7\/48836?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 9\/(882\/(-56))?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 66*k + 28. List the prime factors of z(3).\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -160, -153, -144, -133, -120, -105, -88?\n\"Answer: y**2 + 4*y - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 250\/12*-25*198\/8250.\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, r: 8, t: 1, z: 1, x: 2, k: 1}. Give prob of picking 1 k and 2 r.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238851 is divided by 12222.\nAnswer: 6633","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jvjb when four letters picked without replacement from {x: 1, j: 9, i: 3, v: 2, b: 3}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 - 7*b + 7 - 23)*(-4 + 0 + 3) to z*b + h and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(220) + sqrt(165)\/sqrt(3)*-2)\/(sqrt(33)\/(sqrt(3) - 4*sqrt(6)\/sqrt(2))).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -l**6\/120 + l**5\/15 + l**4\/24 - 9*l**2 + 15*l - 2. Let t(s) be the first derivative of j(s). What is t(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or -1360009\/22?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 2*b - 2. Let y(f) = -2*f**2 + 5*f - 5. Let p(u) = -10*w(u) + 4*y(u). Let s(z) = 1 - 1 + 3*z + 2*z. What is s(p(a))?\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43827?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 949100.\nAnswer: -1\/949100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300058 - 60271 + 637893 = 92*f. List the prime factors of f.\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 22. Solve i = -0*b - 4*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qaqqqqqqqqqq. Give prob of picking 4 q.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -81*m - 3. What is the hundreds digit of z(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**4\/a*a\/((a*(a**(4\/5)\/a)\/a)\/a))\/(a\/(a*a**(2\/7)))**27 assuming a is positive.\nAnswer: a**(452\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of 17*u**7\/42 + 7*u**4\/6 - 2*u. What is the third derivative of g(z) wrt z?\nAnswer: 1020*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3 - 8 + 4 - 6*n + n**2. Let b be (93\/31)\/((-3)\/(-7)). Let j be c(b). Put 4, j, -4 in decreasing order.\nAnswer: 4, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/2 (b) 5 (c) 3 (d) 1\/6 (e) -21\/8 (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*d**3 - 97*d**3 - 10184*d + 10185*d - 1 + 12*d**2 to the form q + t*d**2 + c*d + x*d**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -128898 and -7?\nAnswer: 902286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -11 - (26 + 29 - 79).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 74, 314, 736, 1340, 2126?\n\"Answer: 91*i**2 - 33*i + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**3\/9 - 255992*o**2\/9 + 1535466*o - 20726604 = 0. Calculate o.\nAnswer: 27, 127942","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/4 and 19\/271.\nAnswer: 1084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -3396751 smaller than -3396761?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1248349 (base 10) in base 12?\nAnswer: 502511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s + 24 = -0*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j**2 - 71*j + 95. What is d(-25)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, s: 2, w: 1, g: 1, m: 1, r: 1}. Give prob of sequence grw.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 122148*d**2 - 17442*d wrt d?\nAnswer: 244296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 10 = -5*q. Suppose o - 6 = -3*j - 0*o, q = 2*j + 5*o. Let g be (1\/j)\/((-1)\/24). Which is smaller: -11 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 3857355308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -i**5\/20 + i**4\/4 + i**3\/2 + 4*i. Let j(x) be the second derivative of o(x). Differentiate j(s) wrt s.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k + 9. Let b be t(-5). Let r = 14 - b. Suppose -z + 9*z = 16. What is the smallest common multiple of r and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((-5 + sqrt(80) + sqrt(80) - sqrt(80)) + sqrt(5) + 2 + sqrt(80) + 2 + 3)**2)*-2*-1.\nAnswer: 72*sqrt(5) + 820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.049782934 rounded to four dps?\nAnswer: -0.0498","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o**2 + 2. Let w be 6\/5*((-340)\/(-6))\/(-17). Let i(l) = -4*l**2 - 2. Give w*j(r) - 5*i(r).\nAnswer: 4*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -610.24.\nAnswer: 606.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3264*t - 136267 - 118325 for t.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6973 - 6890. Calculate the greatest common divisor of v and 664.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/3)*y*(y**(1\/6)*y)\/y)\/(y**(-1)*y**(-3\/5)) assuming y is positive.\nAnswer: y**(21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324784?\nAnswer: 2, 53, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of m**5\/5 + m**4\/3 - 2*m**3\/3 - m**2\/2 - 37*m. Let h be y(1). Solve 0 = -h*s + i - 3*i - 9, s = -4*i - 13 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.48623 litres in millilitres?\nAnswer: 73486.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in -0.1, 0.9, -5, 136?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -140074 (base 8) to base 2\nAnswer: -1100000000111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(0 + (-6)\/4). Let i(h) = -h**2 - 12*h - 4. Does 16 divide i(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 4*q - 4. Let y be l(4). Let b = y + 9. Solve -2*s = x + 5, -s - 2*s = b*x + 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54168 (base 15) to base 4\nAnswer: 1001023010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*c = 2. Let x = -10 - -12. Solve x*v + 5 = c for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152272054?\nAnswer: 2, 11, 227, 30491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of 415*y**5\/4 - 294*y**3 - 184*y**2 + 5*y. What is the first derivative of g(c) wrt c?\nAnswer: 12450*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 25*v**2 + 26*v + 56. Let r(w) = -30 - 7*w + 42 - 4*w + w**2 - w. Let u be r(6). Let a be d(u). Solve -4*l = -a - 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5229, 10456, 15657, 20814, 25909?\n\"Answer: -3*w**3 + 5*w**2 + 5233*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*o**6 - 2*o**2 + 5*o**2 + 14*o**6 wrt o?\nAnswer: -480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 52 and -4795975.\nAnswer: -4795923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8946?\nAnswer: 2, 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71.1 - 71.10017. Round z to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence spt when three letters picked without replacement from {t: 1, v: 2, s: 1, p: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of r**3\/6 - r**2\/2 - r. Let h be 24\/28*(2 - 9). Let z be (h\/8 + 2)*-4. Give s(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-40)\/(-50) + 1\/5 - -3. Solve 12\/5*x + 231\/5*x**3 + 147\/5*x**s + 0 + 96\/5*x**2 = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pph when three letters picked without replacement from {p: 3, h: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 241 + -137. What is the highest common factor of n and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*d + 21*d - 60 = 13*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 47 - 8 = -3*o, -3*o - 12 = 4*z. Let b(l) be the second derivative of -l**4\/12 - 7*l**3\/6 - 2*l**2 + 53*l. Give b(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194*q**3\/15 + 76*q**2\/3 - 598*q\/15 + 8\/5 = 0. What is q?\nAnswer: -3, 4\/97, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, t: 2}. Give prob of sequence too.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2250 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 43*p**3\/3 - 565. Let h(z) = 83*z. What is h(w(v))?\nAnswer: 3569*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1232171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of w**5\/80 + 5*w**4\/24 - 11*w**3\/24 + 15*w. Suppose c(h) = 0. What is h?\nAnswer: -11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1635 - 5?\nAnswer: -163a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -6*v**3 - 5*v**2 + 5. Let m(b) = -9*b**3 - 7*b**2 + 7. Determine 5*m(z) - 7*r(z).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 157717 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: Three letters picked without replacement from {v: 1, d: 1, y: 2, z: 5}. What is prob of sequence ydz?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(363) - 2*sqrt(363)) + sqrt(363) + sqrt(363) + -2*(1 + sqrt(363))**2 + 1.\nAnswer: -727","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25 in 653, 8\/7, 0.4, -4?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 9 + 27 = 0. Suppose 0 = -5*s - d + 43. Suppose -5*w + 13 + 12 = 0. Solve -10 = s*t - w for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2864\/18785 - 2\/1445. Which is the nearest to -82\/9? (a) 2 (b) -5 (c) -4 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2\/9 - 954228*u + 34352144\/9.\nAnswer: 4*(u - 2147009)*(u - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -8*s - 24. Let j be q(-6). Calculate the greatest common divisor of 216 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**7\/210 + 67*f**5\/60 - f**4\/12 + f**3 + 116*f**2. What is the second derivative of q(k) wrt k?\nAnswer: 12*k**2 + 134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 10575, -0.143, 0.15, 5?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 16*h - 8. Calculate the remainder when x(6) is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -9. Let b be -4 + m\/(-2) - -2. Is -5*(b - 658\/5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 p, and 2 g when four letters picked without replacement from {k: 6, m: 1, p: 3, g: 4}?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 4 = -4*l, -33*l + 31*l = -330*a - 2650 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 15*v - 23. Let l = 2 + -15. Let i be x(l). Solve -2*r + 8 = -t, -r + 1 - 4 = i*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**15)\/y*y)\/((y*y**8)\/y) assuming y is positive.\nAnswer: y**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b - 1. Let a(t) = 26*t + 1. Calculate -3*a(o) - 6*h(o).\nAnswer: -72*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7652, 14950, 22250, 29552, 36856, 44162?\n\"Answer: q**2 + 7295*q + 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n**3*v**3 + 811*n**3*v**2 - 46*n**3 - 2*n**2*v**3 - n**2*v**2 - 592*n**2 - 5*n*v**3 wrt n?\nAnswer: 12*v**3 + 4866*v**2 - 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/40)\/(16\/(-64)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16922 and 16.\nAnswer: 135376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.34 + 0.321. What is j rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 2*h**2 - 2*h**2)*(1 + 1 - 5)*(0 - 2*h + 0).\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151513964?\nAnswer: 2, 7, 37, 146249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * -45.982.\nAnswer: 459.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 23*s + 221. Let r(u) = -2*u. What is l(r(k))?\nAnswer: -46*k + 221","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 632, 604, 576?\nAnswer: 548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, -18, 1\/4, 3\/4, 2\/9?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3458 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 4*d + 0*d)*(7767*d + 5 - 7675*d - 4).\nAnswer: -92*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 95640376 by 43394.\nAnswer: 2204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c**3 - 112*c**2 - 90*c - 114. Is 56 a factor of r(-38)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2028182?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of (-55)\/11 + (243 - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/6 + 4\/(-12). Let r(z) be the first derivative of 3*z**4\/4 - 2*z**3\/3 - z**2\/2 + 1. What is r(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002037 to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8266836ml to litres.\nAnswer: 0.0008266836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 255082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(6\/11)*(w*w**(-18)*w*w)\/w assuming w is positive.\nAnswer: w**(-170\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45313*m**2 - 45313*m**2 - 3*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 141544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 560 or -2?\nAnswer: 560","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 335280 (base 13) to base 2.\nAnswer: 100100111101001101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2147\/440 - 51\/88. Let u(b) = -16*b - 130. Let z be u(-8). Calculate the common denominator of 1225\/(-400)*(-4)\/z and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.894 rounded to the nearest integer?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 9:55 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 8. Factor -2*l - 23*l + 36 - 12*l**2 - 59*l - m*l**2 + 15*l**3.\nAnswer: 3*(l - 3)*(l + 2)*(5*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 257, 396, 537, 680, 825?\nAnswer: 972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, s: 2, f: 5}. What is prob of sequence sts?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150\/39 + -4 + (-10883)\/(-13) is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2 + 0 = 0. Let w(b) = -b + b + 2*b. Let o be w(n). Solve 0 = -a - a - o, -3*a = -f + 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -g**5\/3 - g**3\/2 + 311*g**2. Let a(i) = -i**2. Calculate a(y(x)).\nAnswer: -400*x**4 - 120*x**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -3908.\nAnswer: 781.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7143 + -3921. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 + 17. What is the second derivative of -2*y + 7*y**3 + u*y**3 + 7*y wrt y?\nAnswer: 42*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -6*c - 4. Let u be v(-4). Let f = u + -9. What is the greatest common divisor of f and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(-3)\/48*-2. Let j = n - -3\/8. Let k = -7046 + 7046. Which is the smallest value? (a) k (b) j (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*10\/12*8\/70?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(4*1\/4). Suppose -2*b = -w*v - 12, 0*v - 2*v + 56 = 4*b. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.039 + 0.061. What is the fourth biggest value in i, 4, 9\/7, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1 + -3*sqrt(704)*-2 - 6*sqrt(704)*-2*-6)*4 + 3)**2.\nAnswer: -294396198 + 177408*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u**2 - 5*u**2 + 3*u**4 + 2*u**3 - u**3 in the form v*u + y + t*u**2 + c*u**3 + d*u**4 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1599999425?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*i - 4*i + 10*i**3 + 57*i**3 - 24*i**3)*(-1 + 1 - i) to g*i + z*i**2 + r*i**3 + s*i**4 + v and give s.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 51\/((-1680)\/(-84) - 21)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 45 + 75. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 199, 565, 1295, 2575, 4591, 7529, 11575, 16915?\n\"Answer: 31*y**3 - 4*y**2 + 161*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1563717 to the nearest integer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 18 + -42?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 1. Let l(z) = 3*z**2 + 4. Let v(b) = -4*g(b) + l(b). Let p(c) = 182*c - 3. Let r be p(1). Let u(q) = -2 + 2 + 155*q - r*q. Determine v(u(d)).\nAnswer: -576*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 13*g + 8. Suppose 7*n = 45*n - 3*n + 70. Calculate y(n).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 3*t. Let n be i(3). Let p be n\/(3 - 0)*1. What is the second derivative of -4*h + 3*h + p*h - 2*h**3 wrt h?\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5 + 0 + (sqrt(264)\/(sqrt(12) - sqrt(48)) + sqrt(22))\/(sqrt(80)\/sqrt(10)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (h - 2 - 6*h - 7*h)*(-3 - 2 + 3) in the form o*h + c and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 3. Let o = m - 6. What is the closest to -1\/4 in o, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + 61. Let d = -83.04 + b. Let z = d + 0.04. Put -1, -0.5, z in ascending order.\nAnswer: -1, -0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8*3*(-8)\/(-96)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - 1) + (19 - -1 - (278 + -284)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397 is divided by (-24)\/(-4) + 17\/((-51)\/(-240))?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42 - -46. Suppose 6*d - 18 = r*d. What is the remainder when 26 is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w - 1. Let z be h(7). Let y be 2297 + 0 + -10 + z. Suppose -2*d + y = 3*d. Round d to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34 - 5. Let d = 28.79 - w. Let h = -0.51 - d. Put 2\/5, 4, h in increasing order.\nAnswer: h, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*t - 2. Let q = 30 - 28. Suppose 0 = -3*x + 15 - 6, 0 = q*y - 3*x - 9. Solve 3*s = -t*k - y, k = 5*s - 2*k + 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14760\/2160 + (-15 + 9)*(-1 - -2).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + 34. Let i be (-6 - -8) + 25 + -4. Suppose u + g - i = 0. What is the greatest common divisor of u and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 25*j**2 - j + 4. Let i(t) = -48*t**2 + t - 8. Calculate -5*c(y) - 3*i(y).\nAnswer: 19*y**2 + 2*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 5*j**2. Let f be m(5). Let i be 1*-9*2\/(-6). Determine d so that d**i - d + 1\/2*d**4 - 1\/2 + f*d**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.02, -3, 239?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34193, 2\/19, -5, 0, 18\/5.\nAnswer: -5, 0, 2\/19, 18\/5, 34193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16466?\nAnswer: 2, 8233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 16 - (3 - 9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 3*p)*(0*p - p**4 + 0*p) + (8*p**4 + 0*p**4 + p**4)*(-1 + 1 + p).\nAnswer: 6*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 + 8 = 5*y - 5*v, 2*y + v = 3. Suppose 123 = y*x - 57. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/15 + (-193)\/15. Let i = 65 - a. What is the greatest common factor of 39 and i?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 126*t**3 - 109804*t**2 + 53217277 with respect to t.\nAnswer: 378*t**2 - 219608*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u**2. Let p(b) = 12*b - 1. Give p(k(a)).\nAnswer: 48*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(275))**2 - (sqrt(275) - (sqrt(275)*-3 - sqrt(275))**2)) + ((-5 + sqrt(275) + -1)**2 - (-2 + 1*sqrt(275))).\nAnswer: -40*sqrt(11) + 4997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**2 + 2*c + 3. Let b(t) = 4*t**2 - 3*t - 5. Let l(z) = z**2 - 13*z + 27. Let k be l(11). Let q(r) = k*d(r) + 3*b(r). Give q(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -3 + (-1 - -5) - 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50253 = -50*p + 64947. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/7? (a) 559.87 (b) -2 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -92, 0.8, -759048?\nAnswer: -759048","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -2. Let t be 3\/12 + 2\/(-8). Solve 5*c + t*c - 28 = 3*z, -4*c = -v*z - 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 0*o - 2\/5*o**3 + 0*o**2 - 3\/20*o**4 - 1. Find f such that m(f) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/4 + 307*r\/4 + 153\/2.\nAnswer: (r + 1)*(r + 306)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1029792377 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10774, -21, 0 in ascending order.\nAnswer: -21, 0, 10774","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33769107?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Is 7744479559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = a + 3. Is 10 a factor of (-20)\/((2 + a)\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 14*a - 68. Determine l(11).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11055, -11054, -11053, -11052, -11051?\n\"Answer: k - 11056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 14*h + 34*h - 24 - 4*h**2 - 23*h + 27*h - 8*h**3 = 0.\nAnswer: -3, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.34622 minus 583.8516401?\nAnswer: -583.5054201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*r**3 - 143 + 113 - 2*r**2 + 2*r**2.\nAnswer: -13*r**3 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s**2 + 2*s + 1. Let f be n(-1). Suppose -15 = 5*r - 3*l, -20 = -r + 2*r - 4*l. Suppose r = 2*d - d + 5. Sort d, f, 0.\nAnswer: d, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3190 is divided by 84.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 + -45. Let d be z\/((-5)\/((-100)\/(-15))). Solve -5*v - 21 = d for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of f**4\/3 - f**2. Let k(a) = a. Let g(z) = 8*z. Suppose b - 20 = -b. Let l(c) = b*k(c) - g(c). Give l(t(w)).\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 137 + 4?\nAnswer: 13b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 591525841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 4*h = -12, -y - 89*h = -84*h + 9 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.578437 to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0*18.2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3124 - 68?\nAnswer: -3203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0309 - -2.0309. What is the fourth smallest value in -1\/10, h, -1.4, -0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/35)*v)**(3\/7)\/(v**(-2\/59))**10 assuming v is positive.\nAnswer: v**(10741\/14455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 995, 996, 997?\nAnswer: 998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101110111011000001 (base 2) to base 13.\nAnswer: 69631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or 1703?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/2560 and -29\/144?\nAnswer: 23040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5*n + 6, 0 = -0*n + 2*n + f - 9. Suppose 2*g = 2*r + 5 - 49, n*g + 5*r = -98. What is g rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvzammgzagmvvzvmmg. Give prob of sequence avvv.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -8*v + 3. Let s(b) = -3*b. Give s(m(r)).\nAnswer: 24*r - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 10. Let q be 3*(1 - (-2)\/(-3)). Let f(o) = -o**3 + 2*o**2 + o - 1. Let t be f(q). Is i < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 62\/(-4) + (20\/(-8) - -3). Let n be (-212)\/(-10) + (18\/d - -1). Suppose -5*i + 3 = -p - 22, -i - n = 5*p. Which is smaller: -8 or p?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 36 = -35. Let q be 5\/40*-4*u*6. Solve 6*o - q*o - 9 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -y**5\/70 + 59*y**4\/42 - 215*y**3\/21 - 275*y**2\/7 - 3*y - 2167. What is r in k(r) = 0?\nAnswer: -1, 5, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 57\/9 + 140\/21 + -7. Which is smaller: 4 or g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-43))**(7\/4)\/(g**(-6))**(-18) assuming g is positive.\nAnswer: g**(-733\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 301580681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-18)\/(-24))\/((-1095)\/(-20))*11*-13. Which is smaller: p or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 325, -15, -0.2?\nAnswer: 325","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -10, -49\/30995, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + 2*sqrt(2)).\nAnswer: -12*sqrt(2) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -103.85 - -106. Let f = y + -2.65. Put f, -2\/467, 2\/7 in decreasing order.\nAnswer: 2\/7, -2\/467, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3 = -l - 1, -2 = 3*m - 5*l. Let h be 1\/(m - (-13)\/(-2))*1. What is the nearest to -2 in 0.3, 1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4233 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -1, 2, 7, 14?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*r + 10*r. Find the third derivative of -23*h**4 + 12*h**r + 6*h**4 + 12*h**4 wrt h.\nAnswer: -120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (4 - -2) - (0 + -12 - (-217 + 223))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 574289?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258636?\nAnswer: 2, 3, 7, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 9*x**3 + 242*x**2 + 1035*x - 1619. Determine i(-21).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009786572718 rounded to 6 decimal places?\nAnswer: -0.009787","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9710, 12424, 16954, 23306, 31486, 41500?\n\"Answer: f**3 + 902*f**2 + f + 8806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2025 - -31009. List the prime factors of c.\nAnswer: 2, 83, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 124\/(-21) + 6 - 2\/21. Let r(u) = u**2 + 3*u + 1. Let v be r(-2). Which is the nearest to v? (a) -1\/4 (b) k (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 26758a?\nAnswer: -267586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 7:19 PM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 461fc (base 16) to base 9.\nAnswer: 477002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)*2*-3 - sqrt(27))\/(6*(sqrt(9) + sqrt(441))).\nAnswer: -7*sqrt(3)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3724331725 to the power of 1\/3, to the nearest integer?\nAnswer: 1550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(125) + 6*(sqrt(125) + (sqrt(125) - sqrt(125)*-2) + sqrt(125) + sqrt(125)))**2 + (sqrt(125) - (2 + sqrt(125))**2)*6)*2*-4.\nAnswer: -1362812 + 720*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**4)**(-2\/87)*(w*w*w**(-3)*w)**(-15\/8) assuming w is positive.\nAnswer: w**(-8\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -320*u + 2*l = -315*u + 20, -229*u - 468 = -2*l for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3464351436 to the power of 1\/3, to the nearest integer?\nAnswer: 1513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1240 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6438*z + 481657 - 95377 for z.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1232 - 170.0432. Let s = m + 170. Let u = -0.01 + 2.01. Put 0.2, u, s in ascending order.\nAnswer: s, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49 - -33. Let u = 16 + l. Solve u = 4*p - 2*p + 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 11485*b - 50. Let t(f) = -7918908*f + 34470. What is -5*t(o) - 3447*y(o)?\nAnswer: 5745*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1948 + 6?\nAnswer: -1942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 8 - 3. Let x = 159\/4 + -40. Which is bigger: q or x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 2 - (-6 - (-47 + 28))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 + -1 - (-1920)\/16 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 10. Suppose -3*g - i = 5, 42 = 3*s - 2*g. Let o = 23 - s. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 217 = 1372. Suppose -v = x - 1388. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 468120765 to the nearest integer?\nAnswer: 776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/3)\/((-3)\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of t**5\/15 + t**4\/6 - 4*t**3\/3 - 13*t**2. Let d(z) = 0. Calculate z.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4705874 rounded to 2 dps?\nAnswer: 2.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.3 + -0.9. Which is the third smallest value? (a) 0.3 (b) -0.3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 6*x - 11. Suppose 4*j + 3*o = 49 - 5, 36 = 3*j + 3*o. Let h be y(j). Suppose 50 = h*b + 10. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 5*b - 23, 3*q - 109 = 5*b - 0*b. Suppose -125 - q = -7*v. Calculate the highest common factor of v and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 6:44 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17202642 is divided by 151?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from scccsccbqcqd. What is prob of picking 1 s, 1 c, and 1 d?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22014 is divided by 64.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*n**2*s*u**2 - 14*n**2*s*u - 31*n**2*u**2 - 160*n**2*u - 26*n**2 - 782*s with respect to s.\nAnswer: 19*n**2*u**2 - 14*n**2*u - 782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -3*o**3 + 1109847*o**2 - 102698285376*o + 9541343886336 = 0.\nAnswer: 93, 184928","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 2)*(-r + 2*r + r) - 289 - 83*r + 289 to h + c*r and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -44.9250881 to two decimal places.\nAnswer: -44.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k + 49*k**2 + 2*k + 31*k**2 - 2430 + k + 2432.\nAnswer: 80*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 97, 212, 373, 580?\nAnswer: 833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -147*b**4 - 119*b**4 + 265*b**4 + 2*b**3 - 3*b - 34*b**2 as a*b**4 + n*b**3 + p*b**2 + r + c*b and give p.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 637952 divided by -7168?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i. Let f be b(2). Let l be 10\/f*(0 - -2). Suppose l*q - 26 = 49. Solve 0 = -3*x - 0*x - q for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - n + 0)*(-3 + 1 + 4) - 7*n - 30*n - 22*n as m*n + l and give m.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o - 135 = -18*o. Solve -1 = -4*b + o for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -11*q + 2090 + 1884 - 3974. Let a(l) = 113*l. Calculate a(s(y)).\nAnswer: -1243*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1078, 1541, 2310, 3391, 4790, 6513?\n\"Answer: y**3 + 147*y**2 + 15*y + 915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 6929982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9996 + 49978\/5. Which is the fourth biggest value? (a) -2 (b) -0.07 (c) k (d) 0.06 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 7:42 AM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.04609t in nanograms?\nAnswer: 33046090000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34489179 to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7497066226?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -26 + 8 + 12 - 2*l. Suppose -8*o + 4*o = g - 10, 4*g - 5*o + 23 = 0. Let v be -3 - 2\/(0 - g). Let u(d) = -2*d - 7. What is v*u(k) + 5*y(k)?\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 350865517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9189635 and 130.\nAnswer: 18379270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.08 - 0.08. Sort -2\/3, -0.2, m in increasing order.\nAnswer: -2\/3, -0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h**2 - 6*h + 6. Let q(o) = -7*o**2 + 11*o - 12. Let b(k) = 5*c(k) + 3*q(k). Let r be b(7). Let n = r + 50. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3700880615?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.29, -2, -12, -2\/7, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 5640*u - 151548. What is w(-27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m**2 + 58*m - 37. What is s(-19)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*j**2 + 25*j**2 - 466307*j + 466307*j.\nAnswer: 13*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 2690 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00012617618 rounded to 6 dps?\nAnswer: -0.000126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3\/2 - 155*r**2\/2 - 725*r\/2 + 875\/2.\nAnswer: 5*(r - 35)*(r - 1)*(r + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 457438.1 - 457438. Let g = 9 + -4. Let h be ((-3)\/2)\/((-6)\/(-2)). What is the closest to f in g, 2\/11, h?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254*w + 1540 = 6112 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11722 + -4906?\nAnswer: -16628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200994 is divided by 1489.\nAnswer: 1468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(3\/8)\/m)\/m)\/m**(1\/5))\/(m**(-6\/5)*m**(3\/13)) assuming m is positive.\nAnswer: m**(-89\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-8)*2\/(-3). Let r(u) = 21*u - 467. Let w be r(22). What is the closest to a in -1, 2\/7, w?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 1. Let b be d(-1). Put 3, -4, b in descending order.\nAnswer: 3, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1759 is divided by 1744?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 979 + -0.00766797\nAnswer: 978.99233203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 11:08 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*z + 333*z**2 + 13*z - 4 + 6*z + 10*z.\nAnswer: 333*z**2 - 4*z - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-180)\/(-225))\/(12\/(-10)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 563280708 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r + 6*r - 59*r**2 + 46*r**2 - 2*r.\nAnswer: -13*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 + -24. Calculate the lowest common multiple of 8 and r.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + 3*q**2 + q**2)*(6*q**3 + 0*q**3 + q**3) + (2*q**2 + 0*q**2 - q**2)*(q**3 + 2*q**3 - 2*q**3).\nAnswer: 15*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 + -16. Let x(p) = 7*p + 4. Let g be x(12). What is the remainder when g\/(-2)*6\/(-12) is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1105*p**2\/4 + 1065*p\/4 - 10.\nAnswer: 5*(p + 1)*(221*p - 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 5*y + 155 - 1396, 2*y + 3*c = 501. Solve -126 = y*q - 235*q for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = v - 44*r + 40*r + 209, -188 = -26*v - 5*r for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00041208 rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (((-95)\/6)\/5)\/3 and 80\/39.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/17)\/d**4*d\/d**0*d**5\/d*((d\/(((d\/(d**(-10)*d))\/d*d)\/d)*d)\/(d**(-9)\/d))**(4\/15) assuming d is positive.\nAnswer: d**(143\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-7))\/(28\/(-56))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.3 or 0.15?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wr when two letters picked without replacement from {w: 4, r: 6, g: 1}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 18078\/(-690) + (-132)\/(-60)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 53297 and 2?\nAnswer: 106594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(36)\/sqrt(3))\/(sqrt(6) - sqrt(24)\/sqrt(4)*-5).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.0472835 decades?\nAnswer: 0.00472835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, a: 5, g: 2, z: 9, k: 1}. Give prob of sequence aa.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -610ab + 8?\nAnswer: -610a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 451*a + 21 - 467*a - 101 as n + o*a and give n.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 415 is divided by 106.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = -3*v + 97. Let u(z) = -z**2 - 13*z - 10. Let h be u(v). Let d = h - 35. Which is the nearest to -1\/2? (a) d (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c - 6. Let t be g(-4). Suppose 0 = w - t, -2*w - 22 = -2*q - w. Suppose -2*y - r + q = r, -5*r + 12 = 2*y. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 25*i**2 + 2*i + 74. Let p be q(-25). Suppose -668 = -p*w + 220. Let n = -90 + 423. What is the greatest common factor of w and n?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*q + 3*h + 23 = -73*q, 0 = -q + 13*h + 9 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1350533.\nAnswer: 1350533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -23, -24, -25, -26?\n\"Answer: -p - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32 + 1\/3*f**2 + 97\/3*f.\nAnswer: (f + 1)*(f + 96)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 387 and 13760?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - t + 3421 = 0, -c - 2*t + t = -681. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i**2 + 2*i - 8. Let q(l) = l - 14. Let g be (-1)\/2*(-2 - 12). Let h be q(g). Is y(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i + 2. Let g be s(-3). Suppose -2*t = -g*t. Suppose t = 5*x + z - 4, -x + 4*z = 2*z + 8. Solve x = 6*l - 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q + 5. Let c be x(0). Suppose -p = 2, 297 = c*i - p + 15. Suppose -v - v = -i. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103027, 206052, 309077, 412102, 515127, 618152?\nAnswer: 721177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 11008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-24)\/(-32) + (-4)\/(-22880)*-3778 and -21\/20?\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -162631 - -162937.132. Let c = -0.132 + r. Let h = c + -305.99999837. What is h rounded to seven decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (29 + -54 + 31).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 47933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p + 2. Let d(u) = -6*u + 7. Let v(j) = 2*d(j) - 7*l(j). Let k = -12 + 13. Give v(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475)*2 + -3)**2.\nAnswer: -60*sqrt(19) + 1909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 + (45 - 29) + -2 + (2 - 6)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -12.1, -4, 1\/20?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**2\/2 + 6*s. Let p(r) = -3*r**2 + 3. What is -p(c) - 3*z(c)?\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-3)\/1)\/(20\/8)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118658870 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: ((-16)\/(-72))\/(31\/(-558))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 670?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 9, q: 4, o: 1, r: 4, b: 2}. Give prob of picking 2 q and 1 r.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -n**6\/60 + n**5\/20 + n**4\/24 + n**3\/6 - 65*n**2 + 2. Calculate p(3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 56*v - 344. Let u be x(49). Is u greater than or equal to 1\/35323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*z = 6*u - 17, -3*u - z + 8 = 0. Suppose -17 = -5*i + u. Suppose -i*k = -0*k - 88. Does 11 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*w - 4*l, -4*w - 4 = -3*l + 2*l. Let t(d) = d + 3. What is the units digit of t(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y + 4. Let c(a) = -5*a + 8. Suppose 0 = 5*x - 8*x - 3. Let t(d) = -6*d**3 + 2*d**2 + 3*d + 2. Let r be t(x). Calculate r*z(n) - 3*c(n).\nAnswer: n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8286 + 33138 - 8284 - 8282 + 3*l**3 - 8286.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 250133 and -7?\nAnswer: 250140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, 8, 0, -22407\/19, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + -1 + -11 + 12. Solve -n*h + 0*h = -10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 551 + -548. Let n = -4 + 4. Let d be 12\/30 - n\/(-2). Which is the smallest value? (a) p (b) 0.5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of 5*n**7\/168 + n**6\/8 - n**5\/4 - 5*n**4\/3 + 10*n**2 - 145*n - 1. Suppose v(g) = 0. Calculate g.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 4121.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/5)\/x)\/(x*x**(-5)*x)*x**(-2\/11)\/x*x**(-6) assuming x is positive.\nAnswer: x**(-296\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -7*v - 5. Let m be r(-5). Let s be 3 - 6 - m\/(-3). Suppose 10 = -5*d + s*d. Solve -2*u + d*i = -3, 2 = 2*u + u - 5*i for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u + 5. Let g be i(5). Suppose g = 3*y - 34 - 74. What is the greatest common divisor of y and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2015363322 - -3?\nAnswer: -2015363316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4}. What is prob of sequence ww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13130202 - 3?\nAnswer: 13130133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-10)\/(-4))\/(0 + (-4)\/(-64)). Let l = 44 - f. Suppose -21 + 5 = l*r. Let i(d) = d. Calculate i(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 212, 338, 434, 494, 512, 482, 398?\nAnswer: 254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 113 - 54. Let u = w + -105. What is u rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 2\/5, -1046\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 268668 + -268651. Let b(k) = 105*k**3 - k**2 + 1. Let a be b(-1). Let p = a - -221. What is the remainder when p is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j**2 + 458425*j = 0. What is j?\nAnswer: -91685, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*q = 6*q - 1360398. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25636*a**2 - 26742*a**2 + 12*a**3 + 3*a - 10*a**3 + 3.\nAnswer: 2*a**3 - 52378*a**2 + 3*a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6641 is divided by 472?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 4. Suppose -s + 26 = -o. Is s a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 10*h - 5. Let k(w) = -2*w + 1. Give 9*k(c) + 2*v(c).\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23449255.\nAnswer: 5, 29, 59, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12573 divided by -33.\nAnswer: -381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*c + 25. Let v be (2\/6)\/((-1)\/c). Solve 17 = v*q - 3*y, 2*y - 3 + 16 = 5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-2))\/((24057\/44)\/(-81))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 575 is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -98, -272, -524, -854, -1262?\nAnswer: -1748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4 + 1.6. Let x = -0.22 - 0.04. Let r = x + 0.06. Which is the smallest value? (a) d (b) r (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6049\/2800 - -7\/400. Suppose 0 = -4*u + 20, u + 3 = -2*m - 2*m. Find the common denominator of (-1)\/7*(-92)\/m and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 186096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6846939\/4 - -1724096. Let z = a - 12251. Let c = z - 112. Is -3 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 47 - 74 - 3*v + 45. Give f(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 221223110113 (base 4) to base 13\nAnswer: 2356ac5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/12 + 4\/((-144)\/(-1410)).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 4*p**2 - p + 3. Let u be h(-2). Suppose 2*b + 4*d - 2 = 0, 4*d = -5*b + b. Is 5 a factor of ((-3)\/u - b)*5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 2\/23 (b) 4 (c) -3 (d) -2 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/82 - -23\/1476. Let u(j) be the third derivative of m*j**4 - 1\/45*j**5 + 0 + 0*j**3 + 0*j - j**2. Factor u(f).\nAnswer: -2*f*(2*f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30552660 (base 8) to base 10.\nAnswer: 6477232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnvjncnacvhcn. What is prob of sequence vv?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**19\/d)\/(d\/(d**(-1\/45)*d*d)))**(3\/20))**1 assuming d is positive.\nAnswer: d**(427\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**2 - d**3 - 2*d**2 + (76*d - 76*d - 5*d**2)*(34*d + 11*d + 36*d) - 3*d**3 + 2 - 2.\nAnswer: -409*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189683 - 4*k**2 - k**2 - 189683 + 7*k**2 + 5*k**2.\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5075, 0, 1, -40, -1 in increasing order.\nAnswer: -40, -1, 0, 1, 5075","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6262302 (base 7) to base 12\nAnswer: -304939","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.13446*-4.\nAnswer: -0.53784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1342 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from zrrgrvrrjjgvrrujg?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -5*g - 42, -10 = g - 2*h + 4. Let v(u) = -u - 12. Let y be v(g). Which is the third smallest value? (a) 3 (b) 4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - -2857650736598.\nAnswer: 2857650736611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of b**3\/3 + b**2 - b + 7180. Let r(y) = -y**2 - 2*y + 1. What is 2*h(g) + 3*r(g)?\nAnswer: -g**2 - 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -204509165\nAnswer: -40901833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.052138 minus -1.4226?\nAnswer: 1.474738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 36*-362\nAnswer: -13032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -33. Let y be 2*(0\/1 + 4). Calculate the highest common factor of y and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -1044*q - 7307. What is the hundreds digit of s(-55)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 423 is divided by 41?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-18))\/((-21)\/14)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4075, -8531, -15935, -26287, -39587, -55835, -75031?\nAnswer: -97175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*g**2 - 123 - 2*g**2 + 122 wrt g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -207, -226, -247, -270, -295, -322?\n\"Answer: -k**2 - 16*k - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 1686212872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*g + 20. Put 3, g, -3 in descending order.\nAnswer: 3, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 203167 and 817.\nAnswer: 8736181","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -w + 1 + 4, a = -4*w - 10 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 197*m**2 + 70*m**2 - 2*m - 30*m**2 - m. Let t(w) = 3*w. Calculate t(n(x)).\nAnswer: 711*x**2 - 9*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3519971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**5\/2 - 132*z**4 + 2887*z**3 + 24256*z**2 - 113295*z\/2 + 29636 = 0. What is z?\nAnswer: -8, 1, 31, 239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -30*g**3 + 2*g**2 - 3*g - 13. What is the remainder when 464 is divided by b(-2)?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16237448 divided by 4?\nAnswer: 4059362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -4. Suppose g = r - 2*r. Let h = r + 3. Let z(m) = m**2 + 3*m + 3. Let o(j) = 2*j**2 + 4*j + 4. Give h*o(u) - 4*z(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9933 is divided by 9828?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 4*u**2 - 2*u + 1. Let q be 4*(0 + 4 + -5 + 3). Let o(v) = -3*v + 26. Let h be o(q). Calculate f(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3\/4 - 1\/2. Let t = 7\/12 + l. Is t >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134199718.\nAnswer: 2, 89, 753931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (7 - (-3 - -8))) + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3230*d**3*o*u**2 - 14*d**3*o*u - 13*d**3*u - d**2*o - d*o*u wrt u?\nAnswer: 6460*d**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-266)\/(-11) - 24\/132. Suppose -5*r = z - 74. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 - -121012221201?\nAnswer: 121012221113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23455*s - 23453*s - 8, -2*s + 50 = 7*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - y = 2. Suppose 2*u = -2 + 6. Suppose 0 = 2*x - 4*w - 20, 0 = -u*x - y*w + 3 - 1. Solve 0 = -x*a - h - 3, -5*a - 5*h - 6 = 9 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5}. What is prob of sequence ccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.95 - -2.94. Let m = -0.85 - v. Let u = -2.8399769 - m. What is u rounded to 6 dps?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28*(-231*(-102)\/4488)\/(7\/6)?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -200341240 (base 6) to base 2\nAnswer: -1100111011001010011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 56*f**2 - 46*f - 486. Does 105 divide l(-36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 63*p. Let g(i) be the third derivative of i**4\/3 - 174*i**2 + 2. What is 49*g(b) - 6*y(b)?\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 3.1. Let p = 2 - 2. Let u = j - p. Is -1 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -15.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1584) + 3 - (3 + sqrt(1584) + 0))**2*3.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**4\/3 - 34*j**3\/3 + 977*j**2\/3 - 1802*j + 2808 = 0.\nAnswer: -54, 3, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1806495494 to the nearest integer?\nAnswer: 42503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, -2\/17, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8068 in -3, -3\/5, 2\/3, -1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35316160 by -223520.\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 764.\nAnswer: 7640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 5 + 208*b**2 - 320*b + 320*b to the form n + f*b + l*b**2 and give l.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -5*w**3 + 4*w**2 - 4. Let g(z) = -z**2 + 1. Determine -4*g(i) - h(i).\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 4. Suppose g*p = -5*p + 3045. Suppose -2*f + p = f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2500535.\nAnswer: 5, 500107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 95331657 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**5)**13)**(-12)*(((o**0*o)\/o)**12)**(-36) assuming o is positive.\nAnswer: o**(-936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*y + 2*y - 4*y + (-2*y + 3*y - 3*y)*(1 + 0 - 5)*(6 - 6 + 1)*(-3 + 6 + 1))*(-2 - 1 + 5) as r*y + h and give r.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00099773 rounded to 5 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c - 1. Let y(o) = -o**3 - o**2 - 1. Let d(k) = 8*k**3 - 26*k**2. Let b(z) = -d(z) - 6*y(z). Let h be b(16). Let j(u) = -6. Give h*q(a) - j(a).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -3*c**5\/10 + c**4\/6 + c**3\/6 + 2*c**2 + 9*c. Let w(n) = n**3 - 1. Determine d(b) + 4*w(b).\nAnswer: -2*b**3 + 2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-280)\/(-24) + (-1)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58443502 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3805 = q + 5*d, -q - d = -5*d - 3841. Calculate the remainder when q is divided by 116.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/7, 484, -4?\nAnswer: 484","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = 4*j - 163. Let b = 83 + j. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -107596524*z**2 - 118*z - 133398 wrt z.\nAnswer: -215193048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 38551, 154348, 347343, 617536, 964927?\n\"Answer: 38599*r**2 - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -q**7\/252 - q**6\/90 + 3*q**5\/20 - 4*q**4\/9 + 23*q**3\/36 - q**2\/2 + 3*q + 2. Factor z(f).\nAnswer: -(f - 1)**4*(f + 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 7*f**2 - 19*f + 7. Let a(x) = -x**2 - 2*x - 9. Let t be a(0). List the prime factors of g(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 80\/30) + 8\/(-36)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48250 and 76814.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 5:06 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -j**4\/12 - 7*j**3\/6 + 3*j**2. Let k = 315 - 320. Let f be (-1)\/k - (-36)\/(-5). Determine d(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -31 and -30755909495.\nAnswer: -30755909526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -h - 1, 0 = -h + 2*w - 3 - 1. Suppose 18 = -0*z + 2*z - h*b, 5*z - 2*b - 33 = 0. Suppose -z*d = -94 + 14. Solve 2*j + d = -2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -443*j*q*u + 6*j*q*y**2 + 461*j*q*y + 14693*j*u*y**3 - 6*q*u*y**3 + 7*u*y**3 wrt y.\nAnswer: 88158*j*u - 36*q*u + 42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 444162217 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20040 a multiple of 255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -3*n**3\/4 + 2885331*n**2\/4 - 173440672740*n + 173439951408 = 0.\nAnswer: 1, 480888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -928268.\nAnswer: -1\/232067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0026 rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 69603.1 millennia?\nAnswer: 696031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 179862 divided by -236\nAnswer: -89931\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 3*x + 2213, -2*w + 5*x + 532 = -w. What are the prime factors of w?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 255 and 2078165?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 8*x**3 + 58 - 11*x**3 - 30.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 x, and 1 z when four letters picked without replacement from {x: 2, z: 5, g: 13}.\nAnswer: 13\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (46\/4)\/((-1)\/(-2)). Suppose 0 = 21*i - 128 + 23. Suppose f - 90 = -4*j, 119 = 5*j + i*f - 7*f. Calculate the highest common factor of h and j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6326251721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 873 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47877 + 57*x**2 - 47877 - 260*x**3 wrt x.\nAnswer: -1560","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*x = 3*p + 22, -10 = -2*x. Let v(o) = 31 + 10*o + o**3 + 8*o**3 - 6*o**3 - 13*o**2 + 3*o**3 - 7*o**3. Is v(p) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 782275*l**3 + l**2 + 348574.\nAnswer: 4693650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -4*(-1)\/(-4)*-217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12726 and 7632.\nAnswer: 97124832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - j)*(-21 + 6 + 5) in the form i + d*j and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 6*x + 3. Suppose -17*c = -7 - 61. What is k(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70456160 to the power of 1\/3, to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 5*p - 26 = 0, 4*b - 4*p - 17 = 7 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 9) in base 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 11*i + 9*i**2 - 5*i**2 - 3*i**2 - 3. Let o be r(-16). What is the highest common divisor of o and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2*sqrt(7)*2 + (sqrt(252) + 2)**2 + ((sqrt(700)*-2 + sqrt(700))*6 + sqrt(700) + (sqrt(700) - sqrt(700)*-2 - sqrt(700)) + 3)**2)*2.\nAnswer: -320*sqrt(7) + 13127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 47 * -3088\nAnswer: -145136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -1442*b**2. Let a(v) = -41*v + 30. Let o(s) = -75*s + 54. Let d(t) = 9*a(t) - 5*o(t). Give z(d(q)).\nAnswer: -51912*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (378\/8)\/(-7)*-4 and 105?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 p when four letters picked without replacement from bbbvivbbvibpbqvpvvii.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6311202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 4 - 1 - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284 = 2*u + 2*c, 6*c = 3*c - 6. What is the highest common divisor of u and 648?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 + -49 - (-5 - (9 - -2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 - -37. Suppose -z*d + d = -49. What is the remainder when d is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 3)*(-3 + 4 + 0)*(-6*c**4 + 3*c**4 + c**4 + (4*c**3 - 4*c**3 + 2*c**3)*(0*c - 4*c + 3*c) - 5*c**4 + 2*c**4 + c**4 + 15*c**4 + 9*c**4 + 29*c**4).\nAnswer: 94*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 693 divided by -63.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 7*f + 9. Let i be h(-7). Let z(q) = -i + 6*q**2 - q**3 + q + 6*q - 4*q. What are the prime factors of z(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnlannirna. What is prob of sequence ra?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 - -3 - (10 - 1). Let m be (h\/(-4) - 2)\/(-5). Let y be 0\/(0 + -6) + -5. What is the nearest to 2\/7 in y, 5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/309 - 209\/927. Sort 2, 5, 0.5, f in decreasing order.\nAnswer: 5, 2, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, -1, 2, -47, 15 in ascending order.\nAnswer: -47, -1, 1, 2, 6, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3665 (base 7) to base 14.\nAnswer: 6dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48 + 42. Let y be 2*-5*3\/z. What is the highest common divisor of y and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -558375368*m**3*y**2 - 30*y**2 + 1406004 wrt m.\nAnswer: -1675126104*m**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000431 to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4199566379 to the power of 1\/5, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w - 11. Let j be v(10). Let o = j - -4. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1596996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 83621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216065654?\nAnswer: 2, 7, 41, 9181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 38*s**2 + s + 2. Let r be f(2). Find the third derivative of -142*l**2 + r*l**2 + 3*l**4 + 9*l**4 wrt l.\nAnswer: 288*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 3*r - 303*d + 307*d, r = 5*d - 9 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-3))\/4*-5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75842 = 1889*i + 17283 for i.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*y = -81*y - 250 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 407 - 372. Suppose -k*l + 0*l + 105 = 0. What is the third biggest value in -5, l, 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 9. Suppose v + 69 = 5*b, b - 3*v = -0*b + k. What is the remainder when b is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -5*x + 6, 0*f + x = -3*f - 18. Let n be (-6 + 12)*(f\/4)\/(-3). Suppose 3*o + n*l = 0, 3*l + 24 = 3*o - 0*l. Solve -k - o*k - 5 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 997466?\nAnswer: 997463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -152, -19, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 715314685 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -427, -1409, -2789, -4765, -7535, -11297, -16249?\nAnswer: -22589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l + 13. Let c be g(5). Let n be (47\/(-94))\/(1\/c). Put -4, n, 2 in decreasing order.\nAnswer: 2, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -172*i**3 - 13*i**2 - 34*i + 98. Let y(j) = 43*j**3 + 3*j**2 + 8*j - 24. What is -4*f(s) - 17*y(s)?\nAnswer: -43*s**3 + s**2 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + (-3 + 55 - 35 - 28).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 140 + -135. Solve u*z = 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1593\/11 + -145. Let m = 2 + 2. Let f = -221\/3 + 887\/12. What is the nearest to f in -1, m, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f + f - 17*f - 4*f to i*f + u and give i.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4060 + -6114?\nAnswer: -13204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 b, and 1 y when four letters picked without replacement from {y: 1, b: 3, l: 3, g: 6}.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2490.478ug to milligrams.\nAnswer: 2.490478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -20*n + 12*n - 1 + n**2 + 9*n. Suppose 0 = 2*u + 4 + 2. Determine a(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26519 by 55.\nAnswer: -26519\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 103160 - -2?\nAnswer: 103162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 192*x + 1920. What is t(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(352)\/sqrt(11))**2.\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2615, -2500, -2385, -2270?\n\"Answer: 115*m - 2730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0*p - 5 = 0. Suppose 5*n = 3*b + 10, p = -4*b - 3*n + 40. Suppose b*r = 3*r + 18. Calculate the greatest common divisor of r and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 160570911242.95399971 - 160570906066. Let m = -5177.024 + o. Let k = -0.07 - m. What is k rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.24 * -2197.\nAnswer: 13709.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52 + 190. Is n a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46 + 0 - -1 - 3 - ((71 - 43) + -30)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -418*n - 4283 = -521 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -w + 7. Solve x = 2*x + w for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-4) - (-138)\/(-24). Let n = 9 + u. Solve f + 2 = 5*i, n*f - 2*f + 2*i - 5 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j + 8. Let d(h) = 4*h - 33. Let w(m) = 2*d(m) + 9*y(m). Let q be w(6). Solve k - 5 = -q for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*z**2\/7 - 60388766*z\/7 + 15097192\/7.\nAnswer: -2*(z + 7548596)*(4*z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -4 (b) -2479 (c) 0.4 (d) 45 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3*j + 36 = 0, 0*j + 27 = 4*c - 3*j. Suppose -c*n - 9 = -1431. Calculate the remainder when n is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-6)*(3\/2)\/1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2 - 3*b**2 - 3 - 4*b**2 + 2*b + b. Let x(s) = s**2 - s + 1. Determine 2*q(g) + 6*x(g).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 + 41\/2. Let u be 14\/(-21)*2\/(-4). Which is the third biggest value? (a) u (b) 0 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 27 = -v, 22*v - 12 = -4*z + 18*v. Sort z, 4, 18 in decreasing order.\nAnswer: 18, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3299600 rounded to the nearest 100000?\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -43*x**4\/12 - 19*x**2 + 23*x - 30. Let n(i) be the first derivative of q(i). Differentiate n(c) wrt c.\nAnswer: -86*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.8 and 222.04694541573.\nAnswer: 220.24694541573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g - 13. Let y be d(12). What is the units digit of 4*((-6)\/(-2) - y\/(-11))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2624524153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1735200 rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 4*h - 660644, 2*h + 165161 = 158*q - 157*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, f: 5, k: 7}. What is prob of sequence sfkk?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/2 + 8480*z**2 - 1007602*z.\nAnswer: z*(z - 118)*(z + 17078)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 404129 and 72.\nAnswer: 29097288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1025304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-12) - 2)*4. Let d(n) = -n**2 - 12*n - 13. Let t be d(z). Suppose -16 = -5*y + t. What is the lowest common multiple of 20 and y?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 26 + 54 = 0. Does 13 divide 0 - (-183)\/2 - (-8)\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9128*o**2 + 694*o - 694*o.\nAnswer: 9128*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*w - 4 + 4*w - 13*w + 4*w to the form b*w + o and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*f + 140*f + 9662 = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 9*l**2 + 182805*l - 365654. Calculate h(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 4*w - 13. Suppose 8*k - 1440 = -7*k. What is the highest common factor of k and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 216*z + 4778. Let y be w(25). Solve 0 = y*g + 4*n - 5 - 10, 2*n = g - 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a*a**(1\/3))\/a**5*a**6\/((a**0\/a)\/a))**(-2\/19))**11 assuming a is positive.\nAnswer: a**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -19*v**5\/20 + 34*v**3\/3 + 1229*v**2 + 985*v. What is the derivative of q(f) wrt f?\nAnswer: -57*f**2 + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -514 times -0.265?\nAnswer: 136.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 36, 68, 122, 204, 320?\nAnswer: 476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33022 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 72169 and -142.\nAnswer: -10247998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 6*d + 1. Let g be c(5). Suppose 59 + g = 3*j. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -723605499 divided by -2\nAnswer: 723605499\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-2))\/(-511 - -512)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 4 - 1 - 5*f - 1. Let u be y(6). Let r be 2 - (u\/2 + -5). Solve 2*k + 4*q = 6, -r*k + 3*k + 2*q - 8 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/216 and (6\/12)\/(5346\/(-2241))?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l + 3*l - 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 4*t + 33 = -i, 14 = 2*i + 2*t. Suppose -5*r + 5*p = -0*p - 100, 4*r - i*p - 82 = 0. Let h = 0 + 34. What is the remainder when h is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/462 and 139\/60.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 1. Let c(y) = 3*y + 16. Let k(j) = c(j) + 4*d(j). Let n(p) = -10*p. Determine k(n(z)).\nAnswer: -30*z + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-10)*i**(-6\/5))\/(i*i\/i**(-5)*i)**(2\/23) assuming i is positive.\nAnswer: i**(-1368\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 43*i**2 + 15*i + 1. What is the tens digit of g(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10110010 (base 2) to base 8\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.19 + 0.24. Which is the smallest value? (a) -0.4 (b) m (c) 0.5 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*h - 5 = 0. Calculate the remainder when 3\/6 + 241\/2 is divided by 26 - ((h - 0) + -6).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 14*f**2 + 194*f - 28. Let y be z(-14). Solve 0 = 9*u - y + 36 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 194936 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -279*y**5\/5 - 82*y**2 - 2*y + 81. What is the second derivative of o(c) wrt c?\nAnswer: -3348*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -7\/2, -37871, 0.3 in descending order.\nAnswer: 26, 0.3, -7\/2, -37871","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.6 + -6. Let c = -4.01 + 0.01. What is the smallest value in -0.2, i, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -5. Suppose 3*h = 2*d, -d - d = l*h. Put d, -4, -3 in descending order.\nAnswer: d, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4*t**2 - 12*t - 24. Let g(n) = 3*n**2 + 12*n + 23. Let y(a) = 4*f(a) + 5*g(a). Let k be y(13). Does 13 divide k\/(-4)*2*-13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-14)*(-245)\/350)\/((-8)\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-14))\/(33\/(17325\/(-50))). Let d = 6 + 2. Which is the closest to 2? (a) d (b) 0 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 - (3 - 7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + (-5*sqrt(63)*-1 - sqrt(63) - sqrt(63)))\/(2*(sqrt(9) + 3*sqrt(9))) - (1 + (sqrt(630)*-4 + sqrt(630))\/sqrt(10))**2.\nAnswer: -568 + 37*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -678649, -678648, -678645, -678640, -678633?\n\"Answer: w**2 - 2*w - 678648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -6*g**2 + 4*g + 4. Let v be p(-1). Let b(r) = -1. Let a(d) = -d + 7. Give v*b(l) - a(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 438344084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 239478 less than or equal to 239483?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -401680 rounded to the nearest 10000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 8*k**5\/5 + 1124*k**4\/5 + 4868*k**3 + 38252*k**2 + 608532*k\/5 + 672336\/5 = 0.\nAnswer: -116, -23\/2, -7, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + q - 1. Let f(r) = -5*r**2 + 2*r - 1. What is f(n) - 2*y(n)?\nAnswer: -3*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q + 68886 + 6396 + 21753 = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3540 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: Factor -118*h**2 + 25623*h\/7 - 527\/7.\nAnswer: -(h - 31)*(826*h - 17)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 12 = -5*f - h, 6 = -4*f + 2*h for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1602.2 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 2*n - 2 - 2*n**2 + 1\/3*n**3. Calculate c(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -5*k - 40168, 104110 + 96880 = 5*x + 5*k. What is the ten thousands digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -8*(2 - 1 - 0). Let f = a - -16. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27560)\/58565)\/((-1304)\/(-34))?\nAnswer: -2\/163","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -65*j**3 - 2*j**2 + 927*j - 243445 wrt j.\nAnswer: -195*j**2 - 4*j + 927","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, 5, 12 in ascending order.\nAnswer: 5, 12, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 450652165.\nAnswer: 5, 19, 4743707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/4 + 9*l**3\/4 - 6*l**2 + 4*l.\nAnswer: -l*(l - 4)**2*(l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uyniyiybyaayi. What is prob of sequence buy?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 3:29 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2 = 2*c. Let v = c - -2. Suppose -q = q. Solve -v*b + 0*a - 36 = 4*a, q = b - 3*a - 7 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1069509? (a) 0.1 (b) -4 (c) -5.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -494 or -211?\nAnswer: -494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, s: 2, w: 1, v: 2, e: 6}. What is prob of picking 2 e and 2 v?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 44 = 5*u, -4*u - 3*q = 378 - 358 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kkakkmkmkmak?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 115*b - 116*b + 8, 3*b + 5*n = -31 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.8695 - 0.1305. What is the biggest value in d, 5, 1\/3, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3012959087?\nAnswer: 41, 73486807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 9:10 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-301)\/(-210) - 1 - (3 + 0)\/30. What is t in -25\/3 - x*t**2 + 10\/3*t = 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -4. Suppose o + 43 = 2*a, -i*a + o + 26 = -57. Suppose 1132 = 5*z - 4*h + 1121, 3*h = 5*z - 22. Calculate the remainder when a is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.19 - 25.89. Let w = q - -16.7. Sort w, 0.5, 0.2.\nAnswer: w, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 6:17 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12132 < 12278?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 226*c. Let f(n) = 2*n - 4802. Calculate a(f(y)).\nAnswer: 452*y - 1085252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 26 = 5*b + 3*a, 510*b + 3*a - 48 = 522*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01523 rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a + 3*a**3 - 2 - 2*a**3 + 0*a**2 - a**2. Let u be q(2). Let t = 9 - u. Solve 0 = x + 5*d + 1, -x - 9 = -2*x + t*d for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((-3)\/(307 - 1)). Let y = 3 - i. Let w be (-4)\/14 - 12\/y. Sort -4, 4, w in ascending order.\nAnswer: -4, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -v**5\/20 - v**4\/12 + v**3\/6 + v**2\/2 + 5*v. Factor u(w).\nAnswer: -(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -29*m - 1. Let f(c) = -4258 + 2127 + 2131 - 4*c - 3*c. Determine -9*f(d) + 2*i(d).\nAnswer: 5*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -1 - 8*r**3 + 0 + 11*r**2 - 3*r**2. Let d(u) = -u**3 + 23*u**2 + 872*u - 530. Let g be d(43). Let z(t) = t**3 - t**2. Give g*z(p) - 2*l(p).\nAnswer: 2*p**3 - 2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/3 (b) 0.3 (c) 0.2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - -44. Let f = -57 + q. Sort -4, f, 1, 3 in descending order.\nAnswer: f, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 54.9 (b) -2 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -89 - -99. Let q be (56765\/g)\/(3\/5898) - -1. Suppose 9*f = 5*f - q. What is f rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.16 + -12.16. Let h = -37.3 + 17.1. Let o = h - -15.2. What is the second smallest value in v, 0, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 18136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -103310?\nAnswer: -103314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yyhcdnad.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2914\/185 at least as big as 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 46117873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(49020\/2128 - (31 - 8)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 6*h**2 + 4*h - 9. Let l = 19 + -12. Let b be -1 - l\/(-2)*2. Let o be g(b). Solve -4*m = m - o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.3 - -108478320083\nAnswer: 108478320085.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-222*l - 2*l**3 + 222*l)*((-2 + 4 + 0)*(-2 + 1 + 3) - 4 - 5 - 1) in the form v + m*l**2 + t*l + d*l**3 and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -v - 2*v. Let j(l) = 13*l - 4. Is j(v) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009596 - -2?\nAnswer: 2.009596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -639, -641, -643, -645?\nAnswer: -647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 64 = -5*c - l, -5*c + l = 96. Let f be 33\/4 - (-5)\/c. Is 118\/8*f\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74095442.\nAnswer: 2, 37047721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 0*y + 3*y + 0*y - 5*y. Let j(r) = -9*r**2. Give j(o(z)).\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of s**4\/6 - s**3\/6 + s**2 + 8*s. What is k(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*l - 374 = 326 for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 11*a. Let s(f) = 8703*f + 5. Determine t(s(z)).\nAnswer: 75742209*z**2 + 182763*z + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101001110111101 + -10?\nAnswer: -10101001110111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -405544 (base 10) to base 12\nAnswer: -176834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven halves of a century?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -68720186 - -23.6902\nAnswer: -68720162.3098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2\/225, 1, 0.5, -92, -5\/2 in decreasing order.\nAnswer: 1, 0.5, 2\/225, -2, -5\/2, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*f - 4*f + 4740. What are the prime factors of f?\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -78.79 - -78.71. Let g = 0.8 + -0.4. Is c greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12041\/7 + 1712. Find the common denominator of 117\/40 and a.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73 divided by -7518688.\nAnswer: 73\/7518688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(0 + 2 + 0)*(-16108*b + 16108*b - 594*b**3 + (1 - 2*b - 1)*(2 + 2*b**2 - 2))*(4*b + 4*b - 3*b).\nAnswer: 5980*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*a**2 + 17*a**2 + 0*a**2)*(11 + 8 + 17 - 29) to the form y + g*a + v*a**2 and give v.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - (-11 - (-1 + -10))) + (-61 - 8).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3*k - 9126, k - 6218 = -2*f + 12006. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xfffffxpxvfpfffxxvv. Give prob of picking 3 f and 1 v.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 435*r + 258*r + 69*r + (1 + 2 - 4)*(-2*r + 3*r + 0*r) as d + p*r and give p.\nAnswer: 761","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*v**2*z**2 + 9*v**2*z - 9*v**2 + v*z - 214*z**2 wrt z.\nAnswer: -6*v**2 - 428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92 - (-39)\/(12168\/(-29120))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -228, -358, -488, -618, -748, -878?\nAnswer: -1008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17\/48 or -1221894?\nAnswer: -17\/48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 minus -12133?\nAnswer: 12132.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 601256?\nAnswer: 2, 17, 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**2 + 8 + 0*a**2 + 17 + 2 to n + t*a + m*a**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**3 - 55*w**2 - 69*w - 108. What is the tens digit of a(-32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1403 + 1668?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 672892419 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -719 + 743. Calculate the lowest common multiple of 15 and j.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*r**2 - 3*r**2 + 7*r**2)*(4*r - 3*r + r).\nAnswer: 24*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 68.72 + -70. What is l rounded to 1 decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 8 = 19. Sort t, -1, -3 in increasing order.\nAnswer: -3, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 92 - 16. Suppose -l + 225 - z = 0. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of c**6\/30 - c**5\/60 + c**4\/24 + c**2 + 3. Let o(t) be the second derivative of w(t). Calculate o(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of 106*z**2 - 2*z - 6. Let h(c) = -c**2 - 6*c - 7. Let r be h(-2). Does 30 divide s(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + -1016.5.\nAnswer: -1016.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of n**3\/6 - 5*n**2 + 4*n. Let q be k(-6). Let l be (q\/(-20))\/(4\/20). Solve -3*x - 19 = -l for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 9 = j - u, 4*u - 1 = -3*j. Let o = -293 - -295. Suppose 0 = 6*l - 10*l. Solve l = -o*y - j*y - 25 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -887*c**4\/2 + 2*c**3 + 3*c**2 + 906. What is the third derivative of m(s) wrt s?\nAnswer: -10644","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10823 divided by 5?\nAnswer: 10823\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n. Let g = 16 + -2. Let r be 4\/(-14) + 88\/g. Suppose 0 = -2*y - r, -2*q + y = -y. Calculate m(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -94 + 94. Let r = 0 + -1. Let f be r + (6 - 3) + 2. Is i > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u**3 - 2*u**2 - 2*u. Let m(d) = -96*d + 8170. Calculate the smallest common multiple of m(85) and r(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-145)\/116*32\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63085\/(-4433) - (-3)\/13.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -19 - (-36 - (-195)\/13). Solve 6*u - u + 24 = -4*o, 5*o + 13 = -d*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.6 - 2847.\nAnswer: -2855.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/162 and -35\/324?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-4*(-3)\/18). Let a = 12 - k. Let y = -1157 + 1169. Calculate the greatest common factor of y and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(3\/3 - -1). Suppose m - 301 - 220 = d. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -68*n + 57*n. Is -14\/45 at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/(-6) + 1105\/52 and 7\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) - sqrt(133)*-1)\/sqrt(7)*-5.\nAnswer: -10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**3 - a. Let y be l(-1). Suppose b - y*b + 6 = 0. Suppose b*d = 5*h - 6 - 11, 2*h - 7 = d. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 197, 555, 1091, 1799, 2673, 3707?\n\"Answer: -t**3 + 95*t**2 + 80*t + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - y + 1. Let b be o(-1). Solve a - b = -4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58222066 to the nearest integer?\nAnswer: 7630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 4:09 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261511?\nAnswer: 17, 15383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -801, -3130, -7007, -12432, -19405, -27926?\nAnswer: -37995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 45*c - 451. Let d be j(54). Calculate the highest common factor of d and 575.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44 + 32 + (-170)\/(-8) and -47\/5475?\nAnswer: 21900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 5) to base 14\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -465 at least as big as -478?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1317 a factor of 325384045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5409 and 25223369.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**4 - 4411049*h**3 - 6485791778532*h**2 - 3178811942559400752*h - 15893897568553920960 = 0.\nAnswer: -1470348, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1722 * -0.2.\nAnswer: -344.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1306 (base 14) in base 5?\nAnswer: -101323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) -3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 q, and 1 u when three letters picked without replacement from hlhuqhhyhhuhhhqqyy?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxgggxxgxxbggxx. What is prob of picking 4 x?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 5*j + 35 = 0. Suppose 2*i - j*i = -115. Let y = i - 3. What is the highest common divisor of 5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -q**2\/2 + q + 1. Let j(f) = -2*f - 2. Let k = 59 + -61. Let n(m) = k*i(m) - j(m). Let d(s) = 4*s. Determine n(d(b)).\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.3 - -10.7. Let t = -31 - -95\/3. What is the nearest to -1 in 3\/5, u, t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**6 - 11*f**5 - 5*f**4 - f**2 + 3*f - 66?\nAnswer: 240*f**3 - 660*f**2 - 120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 10 = 2. Let g be o*((-2)\/(-8))\/(-1). Which is greater: g or 1\/36?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 5. Let x be (b\/20)\/(-4*(-3)\/72). Let k = -12 - -8. What is the closest to 0 in -0.4, x, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-2*sqrt(324))\/sqrt(9))\/(-5*-2*sqrt(192)) + 1.\nAnswer: -3*sqrt(3)\/20 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(288) + -1)*2)**2 - (0 + sqrt(2) + (sqrt(10)\/sqrt(5) + 2)**2)).\nAnswer: -101*sqrt(2) + 1149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3+1064\nAnswer: 1061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 1. Let v(u) = u**2 - 2*u - 1. Let w be v(-1). Let z(h) = 2*h**2 + h - 2. Calculate the remainder when z(w) is divided by x(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 360345 (base 7) to base 16\nAnswer: fdef","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17916180 a multiple of 615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*c**4 + 3*c**2 + 9*c**4 - 27*c**4 + (3*c**2 - 3*c**2 - 2*c**3)*(-3 - 2*c + 5 - 4).\nAnswer: 3*c**4 + 4*c**3 + 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -2*k + 0 + 3\/2*k**2 - 1\/3*k**3. Differentiate x(o) with respect to o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a millennium in months?\nAnswer: 88800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11054974*l**3 + 5603873*l**2 wrt l.\nAnswer: -66329844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-4)*2*(-4)\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 150\/109 (b) -2\/3 (c) 0 (d) 14 (e) 6\/5 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 11*s. Let f be c(-7). Let g be ((-42)\/49)\/((-6)\/f). Suppose 2*k + k = 33. Solve g*n = -4*q - 1 - 15, -q + 2*n = -k for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8806.65 millimeters to meters.\nAnswer: 8.80665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 138811784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 13 + 23 = 0, -r = 2*i - 8. Let f(g) be the second derivative of 0*g**2 + 1\/3*g**r + 0*g**3 + 3*g + 0. Let k(h) = 3*h. Determine f(k(u)).\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(448) - sqrt(448)*1) + -2 - (3 + 1 + sqrt(448))) + 1*(sqrt(448) - sqrt(448)*-1 - sqrt(448) - sqrt(448)) + 0)**2.\nAnswer: 96*sqrt(7) + 482","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 d when three letters picked without replacement from {k: 1, z: 2, r: 1, f: 6, d: 2}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o - 3*o + 4*o**2. Let p(l) be the third derivative of 1\/24*l**4 + 0*l**3 + 0*l - 2*l**2 + 0. Calculate y(p(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + n - 4*n = 7, 3*n - 11 = -4*q. Suppose -6 = -h + q*h. Let l be (-10)\/h + 1\/(-3). Is 1 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111 - -1101011111?\nAnswer: 1101101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 274b7 (base 12) to base 6\nAnswer: 1055151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**2\/15 - 4840*a + 5747882\/15 = 0?\nAnswer: -36379, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 47*a**2 - 5. Let g(m) = -51*m**2 - m + 6. What is 5*g(o) + 6*z(o)?\nAnswer: 27*o**2 - 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 6995 + (-50)\/(-10)*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000016696400968 rounded to six dps?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*y + 12 = 0. What is the common denominator of (-142)\/8 - 0\/(-1) and (y\/(-12))\/(10\/(-204))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56.725953 rounded to 1 dp?\nAnswer: -56.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (8 - (-3 - 0)). Let r be 15*(-82)\/3*m. What is r rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9237 * 3.\nAnswer: -2.7711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 4*y + 0*y - y - 4*y + 6*y + (-2 + 4 + 0)*(-y + y - 2*y))*(5*y**2 + 95*y**2 - 38*y**2).\nAnswer: -310*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 756 = -4*a, -2*a - 2*g + 372 = 2*g. What is the highest common factor of 6 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(270\/(-72))\/((-39)\/26)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -3 + (-146)\/10 - ((-1116)\/60 + 18)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 17, 2, 247928 in descending order.\nAnswer: 247928, 17, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*s**3 + 0*s**3 - 7*s**3)*((-2 + 3 + 0)*(8 + 9 - 7) + 0 + 0 - 3).\nAnswer: -98*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1414\/216*(2 + 150\/(-84)) and 22\/45.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i + 30 = -2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*a + 14, -3*a = 4*i + 11. Solve -2*l + 4*k - 26 = -20, k = -i for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -141.97527169 rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.3, -2\/13, -0.12, 2\/5, -1.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -50 (base 7) to base 2\nAnswer: -100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/10639?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 422, 421, 420, 419, 418?\nAnswer: 417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 22.31, 0.3, 224.32?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8861230 to the nearest integer?\nAnswer: 2977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -399*p + 298850. What is l(749)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 200 = -2*y, 3*y + y = -3*q - 279. Let c = q + 4032. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.601645 months in millennia?\nAnswer: 0.00121680375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 + 253 = 48*q - 1043 for q.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8278, -16496, -24710, -32920?\nAnswer: -41126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*b = -103*b - 6. Let p(s) = -14*s**2 + 24*s + 12. Let x(w) = w**2 - 2*w - 1. Let c(f) = b*p(f) - 12*x(f). Let a(j) = 27*j. Give a(c(z)).\nAnswer: 54*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 20472, 20603, 20830, 21159, 21596, 22147, 22818?\n\"Answer: t**3 + 42*t**2 - 2*t + 20431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.14 + -3.079. Let l = g - 0.060964. Round l to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*a - 9 = -154*a. Find the third derivative of -m**2 + 11*m**2 + 44*m**3 - 10*m**a wrt m.\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-172 + 221 + (-1 - -17) - (0 - -7)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*p**4 + 3*p**3 + 3295*p**2 + 16244?\nAnswer: -8*p**3 + 9*p**2 + 6590*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -101, 2\/3, -0.4, -0.8, -20, 0.5?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1251)\/2085 + 896\/(-40).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106 divided by -8?\nAnswer: 53\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(-4))\/((-29)\/116)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 1684 = -1148. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -141453 divided by 2.\nAnswer: -141453\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does -2 = 1\/92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 2:56 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -244210, -488402, -732594, -976786, -1220978, -1465170?\nAnswer: -1709362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of v**3 + 1248965*v**2 - 1073966?\nAnswer: 3*v**2 + 2497930*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 60 - 20 + 7*n - 79. Let i be s(6). Solve i = -2*y + y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -119 + 126. Solve -h = 3*c - 22 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(((sqrt(2) - (sqrt(2) - sqrt(6)\/sqrt(3))) + sqrt(2))*1).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 36 - (-4 + 7 + -6). Let b be (-52)\/r - 1\/(-3). Let i(h) = 4*h**2 + 2*h**3 + 3*h**3 - 6*h**2 + 1. What is i(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 2. Suppose v*i - 7*i + 2*n + 4 = 0, 2*i + 4*n - 22 = 0. Solve 4*d = -i - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-134)\/16*(-3 + 1642\/4). Let w = 3411 + l. Find the common denominator of 51\/8 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 + 4 = -3*f. Suppose 0 = f*g - 153 - 445. What is the highest common factor of g and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -83310 or -83313?\nAnswer: -83310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-425)\/(-4) - (-1)\/(-4). Let v = t + -16. What is the remainder when v is divided by 4\/(-24) + 193\/6?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - w + 20 = -6*w, -4*w = -2*m + 10. Suppose 7 - 1 - m*y - y**2 - 2*y**2 = 0. What is y?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/3)\/((-1)\/(-6)). Suppose -15 = -h - b*a, -2*h + h = -5*a + 12. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29968 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -b69 (base 15) in base 10?\nAnswer: -2574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1410)\/350 + (-14)\/(1078\/(-33))?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 5\/11513?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 27*w**2 + 2*w - 2. What is the units digit of q(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17703488*g*h**4*m + 9*g*h*m - 176489348*g*m wrt h?\nAnswer: -70813952*g*h**3*m + 9*g*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -12. Let g = 9 + p. What is the remainder when g is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 306\/663*((-2)\/(-5))\/((-1)\/5*12).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24253.726 + 10.726. Let h = v - -24243.060035. Let c = h - 0.06. Round c to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 + -3234876261\nAnswer: -3234876261.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.590026 + 0.058036. What is n rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s**2 + 11*s + 3. What is a(6)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 20*p - 1030. Determine q(44).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 0.095, -1, 8 in decreasing order.\nAnswer: 8, 1\/4, 0.095, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/192 and 65\/116352?\nAnswer: 116352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 781016351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3*g - 5. Let n(f) = 5*f. Let s be n(3). Let r(b) = -b**3 + 7*b**2 + 9*b - 8. Let p be r(8). Solve -g*x = -p*x - s for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 10840.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 25*m**2 + 125*m + 18. Determine z(-18).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f\/((f*f**(-3\/20))\/f)*f)\/((f\/(f*(f\/(((f\/(f**(-8)*f))\/f)\/f))\/f))\/f))\/(f**(-11)*f)**40 assuming f is positive.\nAnswer: f**(7983\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-9))\/(1\/21). Suppose -r = -5*g - s, -2*r - g + 10 = -4. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 0.02 (c) -1251.2337\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1484*m + 15182 + 20660 = -25002 for m.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pre when three letters picked without replacement from erepri?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9524?\nAnswer: 2, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2845\/2 + 1425*d - 5\/2*d**2.\nAnswer: -5*(d - 569)*(d - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-65)\/(-30) - (-1)\/(-2)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 + 127\/2*j + 135\/2.\nAnswer: -(j + 1)*(8*j - 135)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 4:27 PM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.1 - -1.1. Which is the fourth smallest value? (a) 5 (b) -3 (c) i (d) 22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14250670 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3151 divide 662951674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -32, -167, -356, -569, -776?\n\"Answer: 5*k**3 - 57*k**2 + k + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/6)\/((-5)\/(-165)). Let g = 14 - t. Suppose -j - 2*j + 1 = a, -j - 2*a = g. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/264)\/((-58)\/((-33408)\/(-72))).\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003345127573 rounded to six decimal places?\nAnswer: 0.003345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*x + 21*x + 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 10:13 AM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/2*(-152)\/(-5). What is the tens digit of -4 - -3 - (-2 - (-1 + f))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minus -1612454?\nAnswer: 1612460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 523.948 + -524. Let u = d - 20.948. Which is bigger: -1.2 or u?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14 - -10) + 24 - 2) + -2 + 0.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (886*t - 64 + 125 - 61)*(4 - 4 + 12*t).\nAnswer: 10632*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 1. Suppose 3*r - 5*a - 766 = -3*a, -518 = -h*r + 5*a. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9488*d + 2224*d + 1276608 = 0 for d.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 - -29. Suppose 10*g - b*g = 3156. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u - 35. What is q(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, t: 2, d: 2, y: 2}. What is prob of sequence dtyd?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -4*y**2 - 5*y. Let z be h(-5). Let v = z + 39. Let u = v + 80. What are the prime factors of u?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6215768 divided by -767.\nAnswer: 8104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17\/2 - -25. Calculate the common denominator of g and (-26 - -1)*(-6)\/21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53128.3546 rounded to 0 dps?\nAnswer: 53128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 15?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 3*r**2. Let i be y(1). Calculate the least common multiple of (-9 + 15)\/(1\/(29\/i)) and 30.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 < 498?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -1\/38981970?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2*-1*(-4 + (sqrt(847) + 1 - sqrt(847))))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2463 (b) 358 (c) 28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 160?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + h**2 + h - 1. Give l(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3600, 20, -4, 10 in ascending order.\nAnswer: -4, 10, 20, 3600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, -3, 16, 708?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00014588 rounded to 5 dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 17. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -160947550082*f**2\/3 - 2269432*f\/3 - 8\/3 = 0.\nAnswer: -2\/283679","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of g**4\/24 + g**3\/2 + 2*g**2. Let c be j(0). Let o(v) = -v**3 + v + 7. Let b be o(0). Solve c*k = -b + 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 + 16 - (-6 - (0 + -2 + 125 - 3))\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -88, -377, -866, -1561, -2468, -3593, -4942, -6521?\n\"Answer: -u**3 - 94*u**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221572912?\nAnswer: 2, 11, 1258937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**2. Let j(i) be the first derivative of -2 + 4*i**2 + 0*i**3 - 1\/24*i**4 + 0*i. Let m(x) be the second derivative of j(x). Calculate m(t(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -965*k**4 + 4518 wrt k?\nAnswer: -3860*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.701 - 53789?\nAnswer: -53779.299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*s**4 - 335590*s**3 - 7508602440*s**2 - 56016671477130*s - 279895684270275 = 0. What is s?\nAnswer: -22371, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = f + 3*y, 4*f + 0*f + 305 = -3*y. Let v = -37 - f. Is v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) -1\/5 (c) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18453 in -3\/4, 1\/719, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 5*q + 4. Let n be l(-5). Find the common denominator of (20\/6)\/(44\/(-12)) and n\/(-10) + (-1437)\/120.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 106 and 25069?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -82 + 151. What is the first derivative of -2*b**4 - 4*b**4 + z - 61 wrt b?\nAnswer: -24*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5504)\/144 + 39)*6\/119.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -35, -3799, 0, 1, 6\/7, 1\/8.\nAnswer: -3799, -35, 0, 1\/8, 6\/7, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8868 or -203958\/23?\nAnswer: -8868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(119) + (sqrt(119) - (sqrt(119)*-1*2 - sqrt(119)) - sqrt(119)) + sqrt(119))\/(sqrt(847) - (sqrt(847)*-1 + sqrt(847))).\nAnswer: 5*sqrt(17)\/11 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38062 or 37758?\nAnswer: 37758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18.8 + -20.8. Let s = -35 + 38.1. Let h = s + -3. Which is the nearest to -1? (a) h (b) -1\/5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5865128798 + -21\nAnswer: -5865128819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 7194, 7193, 7192, 7191?\nAnswer: 7190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 10:12 PM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*116 + -8067 + 7974?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 0*v**3 - 6*v - 2*v**3 + 6 + 4*v - 56*v**2 + v - 18. Let o be r(-28). Solve -8*z + o = -4*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 116015 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**3*n**3*x + 2*c**3 - 16*c**2*n**3*x**2 - 185*c**2*n**3 - 3*c with respect to x.\nAnswer: -2*c**3*n**3 - 32*c**2*n**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of (-13 - -9) + 11 + 2030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001897 to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/(-342)*12*(-1)\/4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 89 and 8188?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 99 = 21. Let l = -164 + 262. Suppose 4*h = x + l. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.06 - 0.44. Which is the closest to -3? (a) i (b) 0 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/(-42) + 5\/3. Solve -2*w - g = p*w, -g = 5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 0 + 5*r + 10.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*n = 12. Let f(l) = l**3 - 5*l**2 - 7*l + 8. Let m be f(6). Which is the smallest value? (a) m (b) -0.4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 6:47 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12674 - 12670. Let k(n) be the third derivative of 0 + 36*n**2 - 1\/6*n**r + 1\/6*n**3 + 0*n. What is k(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2285 * -425\nAnswer: 97.1125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 109 + -106. Suppose 5*i - 179 = -4*j, 2*j + 22 = 3*i - 103. Suppose i = -s*y + 108. Solve -4*c - y = -3 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 2 + 2)*(-1785*l + 565*l - 1063*l - l + 4*l - 2*l + (5 - 3 - 4)*(-2 + 2 + l) + 2*l - 3*l + 3*l).\nAnswer: 4564*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 250 + 1?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 27, -5, 3, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*s = -4, 4*y = 7*y - 3*s - 21. Suppose -2*v - w - 2*w = -840, -5*w + 1261 = y*v. What are the prime factors of v?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2309 and -0.1.\nAnswer: 230.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-8 - -3) - 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 13) to base 6.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1170, 1784, 2394, 3000?\n\"Answer: -2*w**2 + 620*w + 552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/4, 0.058 in decreasing order.\nAnswer: 0.058, 0, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 2\/15 (c) -0.07 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -893 < -869?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + 1. Let x be 2\/(c\/12) - -5. Let a = x + 20. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 158874, 317750, 476626?\nAnswer: 635502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 47*o - 43*o + 2*s, -5*s + 75 = -5*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/98)\/((-40)\/2400).\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*x + x - 5*x)*(799148391*x - 799148391*x - 28603*x**2) to u*x + b*x**3 + c*x**2 + y and give b.\nAnswer: -28603","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x = 2467 + 2093. Is -303 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p**2\/2 + 15613*p\/2 = 0. Calculate p.\nAnswer: -15613, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*u**3\/17 + 452*u**2\/17 + 530*u\/17 + 88\/17 = 0. What is u?\nAnswer: -44, -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 101592943 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1872684 and 22638?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 13182 (b) -2 (c) 11.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-16)*s\/(s**(3\/5)*s) assuming s is positive.\nAnswer: s**(-83\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-3))\/(5 - (5 + (-6995)\/5)). Is 0 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-320)\/(-9)*98*84\/5488*(-1)\/6.\nAnswer: -80\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*t - 23723 = 0, -11*t - 47446 = -2*d - 16*t. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 74347.7 - 74347.61. Let p = -0.29 - 0.01. What is the biggest value in b, p, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -2.1, -3, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-150)\/76 - (-325)\/((-43533750)\/(-14335))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -3. Suppose -f*d = d. Let m be (-2)\/(8\/11) + 2. Sort d, m, -2 in ascending order.\nAnswer: -2, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -283*r - 239. Let k(o) = -279*o - 238. Let l(a) = 3*h(a) - 4*k(a). What is the first derivative of l(t) wrt t?\nAnswer: 267","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nhhh when four letters picked without replacement from {h: 8, b: 3, n: 5}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(91) - ((sqrt(91) - sqrt(91)*1*1) + sqrt(91)))\/(1*(sqrt(7) + sqrt(7)*2)) + (0 + sqrt(117))*-3 + 3 + -3)**2.\nAnswer: 72*sqrt(13) + 1069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 5 = -5*d + 3, 0 = -d + 3*z + 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -z**4\/7 + 2*z**3\/3 + 20*z**2\/7 + 29*z. Solve p(q) = 0.\nAnswer: -1, 10\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -615*x + 357*x - 764*x - 65790 = 3706 for x.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 1080.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5858 - -5729. Sort -0.05, 2, g, -4\/3 in decreasing order.\nAnswer: 2, -0.05, -4\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 34 + 23 + 34 - 467*s**3 + 12 wrt s.\nAnswer: -1401*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.598 (b) -0.03 (c) -0.3 (d) 2\/9 (e) -1 (f) -8970\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 6. Let j be -34*(1 + b\/8). Calculate the greatest common factor of j and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 7*s + 40. Let t be (-22)\/(-132)*(5 - -1). What is the greatest common factor of s and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 37169*v + 18568*v + 18581*v.\nAnswer: -20*v + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111389978 is divided by 189?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/12)\/(o*o**(-8\/7)))\/(o**11*o**0) assuming o is positive.\nAnswer: o**(-905\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*w**2 - 8*w**2 + 5*w**3)*(3*w - 53 + 53) - 2 + 2 + w**4 as p + x*w + h*w**3 + a*w**2 + j*w**4 and give j.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence shox when four letters picked without replacement from fvfxfxsvohfhf?\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - j - 1. Let r(m) = -m**3 + 12*m**2 - 14*m + 6. Let x(d) = 3*f(d) - r(d). Is x(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1515904 = -12*h - 3*h - 263449. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = r + 11*r. Calculate the remainder when r is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 1 + 7. Let s(y) = -y + 1. Suppose -3*v + 2*k - 6 = -v, 0 = 4*k - 12. Let n(g) = v + 4*g + 1 - 2. Give h*s(a) + n(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1339?\nAnswer: 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 161a + 830?\nAnswer: 214a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -185875, -371745, -557615?\nAnswer: -743485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ezzefzsbsze. Give prob of sequence zffs.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 1556206.\nAnswer: 6224824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3003 (base 5) in base 13?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3833\/5 - -764. Let q = -179\/65 - z. Which is the third biggest value? (a) -4 (b) 0.2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 25*u**2 - 10*u + 4. Give g(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a*j**3 + 143*a*j + 9*j**3 + 3 wrt a.\nAnswer: j**3 + 143*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 1:18 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.07 + 0.074. Let y = -0.00399957 + a. Round y to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-12\/7)*i)\/(i\/((i**(-7)\/i)\/i)))**(2\/103) assuming i is positive.\nAnswer: i**(-136\/721)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g + 7. Calculate l(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24741591083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r**1)\/r)\/r)**(-16)*((r*r\/(r\/(r*r**(-2\/19)))*r*r)\/r)\/(r*r**(-5)*r))\/((r**(-1))**(-1\/8)\/(r\/(r**1\/r))**50) assuming r is positive.\nAnswer: r**(8477\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x - 1. Let k(w) = 8. Let z(j) = -a(j) + k(j). Let c be z(-6). Let l(n) = -4*n**3 - 2*n - 2. Let y(g) = -5*g**3 - 3*g - 3. What is c*l(h) - 2*y(h)?\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/1383 and 2\/385857.\nAnswer: 385857","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -22. What is the third biggest value in t, -335, -2?\nAnswer: -335","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(468) + sqrt(468))*3.\nAnswer: 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -448 - -446. Which is greater: r or 34\/13?\nAnswer: 34\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 512 - 1411342?\nAnswer: -1410430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -705*g - 160 = -737*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65679590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -3, 1, -17\/5, 2\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 62716 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -229 - -269. What is the remainder when 478 is divided by f?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 z when three letters picked without replacement from {z: 5, e: 13}?\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 9:51 AM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48455172 - -30564035. Let q = 2091137 + s. What is q rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 576 - 306. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 61532, 123000, 184480, 245978, 307500?\n\"Answer: m**3 + 61461*m + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 1. Let j be ((-5)\/2 - -3)\/((-1)\/(-2)). Let p(l) = -18*l**2 - 33*l - 15. Let k(n) = j*p(n) - 6*i(n). Solve k(g) = 0 for g.\nAnswer: -1, -3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33316, -33317, -33316, -33313, -33308, -33301, -33292?\nAnswer: -33281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 43\/535 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1670*w - 252 = -3348*w + 1657*w for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/9 + (-30)\/15 - 28\/18.\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*v + 30*v - 184 = -1240 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1937 + 1937 - 49*f**2 - 106*f**2 + (-4 + 0 + 2)*(f**2 - 7*f**2 + 5*f**2) as s*f + p*f**2 + t and give p.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*o**2 + 2915 - 3*o - 2921 + 3*o in the form k*o**2 + x*o + t and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -4*a + 10, -2*v + 433 = 3*a + 436. Solve 2*u = -2*t + v, 6 = -t + 3*u - 11 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50396?\nAnswer: 2, 43, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*m - 55*m + 63 = -3*x, -31 = 3*x + 5*m for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 4. What is the units digit of (-14)\/(-6)*(2 - c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4695464 to the power of 1\/3, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + 34. Suppose -5 = -5*d + b. Suppose 2*k = d*k - 3*n - 45, k - 2*n - 25 = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 85? (a) 1 (b) -1.7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3\/593 + -620\/5337. What is the nearest to -1 in -1, j, 0, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n + 638. Let y(p) = 3*p - 1937. Calculate 11*m(i) + 4*y(i).\nAnswer: i - 730","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5237*f*h - 1378189*f + 2*h**2 - 1 wrt h.\nAnswer: -5237*f + 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**(-31)*i)\/i**(-13) assuming i is positive.\nAnswer: i**47","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w**2 - 17*w. Let j(x) = -x + 17147. Give z(j(k)).\nAnswer: 4*k**2 - 137159*k + 1175786937","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1718\/4)\/((-1)\/(-10)). Suppose -15*w - 290 = -s. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m + 6*m - 9*m + 2033*m**2.\nAnswer: 2033*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -210266 * 2\nAnswer: -420532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 + (-1 - (-92)\/(-16))\/((-945)\/(-1260))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 683788 divided by 48842\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 5*j - 13881, -3*j - 3*b - 2142 + 10461 = 0. Is j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 6*y - 3. Let n be u(4). Suppose -5*q = n*m - 55, -29 = -2*m - m - 2*q. Calculate the remainder when 12 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43 - 175 - 105)*(2*n**2 + 2 - 2)*((-4 + 3 + 0)*(-4*n + 3*n + 0*n) - 9 + 9 + 4*n)*(-2*n**2 - 3*n**2 + 3*n**2).\nAnswer: 6460*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 2*q - 5625 - 2933, 0 = 4*m + 4*q - 6856. List the prime factors of m.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*x**4 - 4*x**4 - 5*x + 16*x**2 + 16*x + 3*x**2 + 13*x**3 + 2.\nAnswer: (x + 1)**2*(x + 2)*(3*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 6*o**2 - 3*o - 6. Let z be d(-6). Let z*l + 3 - 2 + l**2 - 10*l = 0. What is l?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 8*j. Calculate s(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -28?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**3*v**5 + 10*l**3*v + l**2*v - 9*l*v**5 - 3*v**2 wrt v?\nAnswer: -40*l**3*v**3 - 180*l*v**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128641.\nAnswer: 197, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37486575.\nAnswer: 3, 5, 7, 23801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/1332 and (-39)\/(-130) - 3*476\/240.\nAnswer: 6660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -317 + 162. What are the prime factors of (-2293)\/(-5) + (-62)\/a?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 25568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10202422050 - -5?\nAnswer: -10202422041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -11. Suppose b + 503 = v*p, -3*b + b + 518 = 4*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.46 - 0.5. Let s = 1.96 - u. Let j be (6 + -3 - 2)\/(-1). Which is the closest to s? (a) j (b) -2 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 12*x + 11. Let l be c(-11). Let g be l + 0 + 1\/(-5). Put 0.3, g, -4 in decreasing order.\nAnswer: 0.3, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3 - 116854*i**2 - 1706798736*i + 1706915592.\nAnswer: -2*(i - 1)*(i + 29214)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35.986 + 0.014. Let r = q - 6.1. Let k = r - 30. Which is smaller: 41 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.14, -2.40706, -0.31.\nAnswer: -2.40706, -0.31, 0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -37492 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*o = -2*y + 48*o + 1, -3*y - 4*o + 231 - 255 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j**2 + 3*j**4 + j**2 - 2 - 2*j**3 + 0*j**2 to the form d*j + z*j**3 + h*j**2 + g*j**4 + f and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kyohhkn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/3 - 1384258*v\/3 - 922840.\nAnswer: (v - 1384260)*(v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m + 4, -10*x + m + 14 = -8*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*h**2 + 74*h**2 + 102*h - 39*h**2.\nAnswer: -h**2 + 102*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152 - 152 - 3*n**2 + n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5479359 minus 724?\nAnswer: -5480083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-4\/11)*v)\/v)\/(v\/((v*v**11)\/v*v)) assuming v is positive.\nAnswer: v**(117\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29197003 is divided by 388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*y - 9. Differentiate -15 - 28*u**y + 6 + 0 + 19*u**3 wrt u.\nAnswer: -27*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -4*t. Let s(x) = -2. Let u(o) = o - 9. Let c(r) = -18*s(r) + 4*u(r). Calculate b(c(a)).\nAnswer: -16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22836, -182395, -615410, -1458609, -2848720?\nAnswer: -4922471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 78023471?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 905*b**4 + 1124?\nAnswer: 3620*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2*t*t**(-14)*t)**(-25\/4) assuming t is positive.\nAnswer: t**(125\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*q - 6 - 5*q - q)*(0*q - q + 3*q + 2*q**2 + 19*q - 3*q**2 - 19*q + (-q**2 + 2*q**2 + q**2)*(3 - 4 - 1)).\nAnswer: -15*q**3 + 36*q**2 - 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 2:35 PM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of m**4\/2 + 8*m**3\/3 - m**2 - 8*m + 333. Determine g so that o(g) = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -463, -933, -1403, -1873, -2343?\n\"Answer: -470*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1174749?\nAnswer: 3, 59, 6637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -16*u**5\/5 + 5*u**4 + 136*u**3\/3 + 74*u**2 + 48*u + 309. Solve d(j) = 0 for j.\nAnswer: -1, -3\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, t: 2, n: 1, x: 1}. What is prob of picking 1 x and 1 t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 103 = -5*u, 0 = -0*u + 2*u + 3*g - 26. Let i = -1048 - -1058. Calculate the least common multiple of i and u.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.178 + 5.46.\nAnswer: 5.282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 224357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (-5 - -7) - 7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**2 + 179*v + 3904. Determine j(-51).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 41 = -3*p + 20, 4*p = -l + 12. Suppose -l + 139 = 3*m. Is 14 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2942525642891 - -4\nAnswer: -2942525642887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 34631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -o**5\/20 - 7*o**4\/12 - 2*o**3\/3 + 13*o**2\/2 + 4*o. Is w(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1797?\nAnswer: 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 784268*0.2.\nAnswer: 156853.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63 + -53. Suppose -34 = -11*r + d. Solve r*p - 6 = -2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2848201516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 98 = 2*h, 2*q - 2*h + 58 = 5*q. Suppose -q*r - 108 = -2*r. What is the hundreds digit of 128 + -2*(-3)\/r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1025, -1042, -1071, -1112?\n\"Answer: -6*w**2 + w - 1020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 - -20. Let m be y\/((1 - 0)*-2). Suppose -96 = -m*r + 112. Calculate the highest common divisor of 13 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -17. Let l(a) = a + 18. What is the units digit of l(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*9\/(225\/(-50))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 407, 542, 681, 824, 971?\n\"Answer: 2*b**2 + 129*b + 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 10*l + 22. Let x be r(12). What is the nearest to 0.1 in -0.5, x, -2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5639570*l**6 + 2*l**4 + 2662656*l**2 + 2*l wrt l.\nAnswer: 676748400*l**3 + 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 7:13 PM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.0263 * 0.5\nAnswer: -0.01315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 7*x**2 - 13*x - 15. Let c be z(-5). Solve 20*q + 7 + 13 = c for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/4*-7*(-22)\/(-77)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3132 = -28*j - 2860 + 6944 for j.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 6*p**2. Let f(m) = -1. Let d(l) = -l - 2. Suppose 11*b - 3 + 25 = 0. Let s(t) = b*f(t) + d(t). What is s(n(h))?\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 5:23 PM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (73\/3)\/(2163\/(-6489)).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*l - 124*l + 9 = 0. Suppose 2*z = 2*j - 6, -j + l*j - 3*z - 11 = 0. What is the third biggest value in j, -3, -4, 0.8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 874750861 divided by 6\nAnswer: 874750861\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z + 2. Let c(s) = 5*s - 3. Let r = -25 + 22. Let t(i) = -i**3 - 4*i**2 - i + 2. Let x be t(r). Calculate x*d(m) - 3*c(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 422, 428, 436, 446?\n\"Answer: d**2 + 3*d + 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-12))\/(11\/22). Let j = 2051989\/16348131 + -12\/12191. Let i = j + -2\/149. What is the third biggest value in 5\/4, g, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60 + -264. What are the prime factors of (-1 - n) + ((-8)\/1 - -5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z**2 - 4*z - 2. Let r be l(-2). Let u be 4\/r + 12\/5. Differentiate 0 - 2*p + p + u with respect to p.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - j - 23. Let u(v) = -v**3 + v. Let w(q) = -s(q) - u(q). Calculate the remainder when w(0) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 13*z**2 - 13*z + 9. Let g be l(-14). Let w(o) = o**2 + 5*o + 2. Calculate the remainder when 3 is divided by w(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-14)\/2 - -8)*-89. Is u less than -89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14331712 by 11864.\nAnswer: 1208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 109340 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*g**5 + 3293*g**4 + 1286*g**3 - 21695*g**2 + 13212*g - 1980 = 0. Calculate g.\nAnswer: -3, 1\/4, 2\/5, 2, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 626?\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, j: 1, e: 7, b: 4}. Give prob of picking 1 j and 1 b.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*v - 71 - 40 - 29*v + 35 - 97 in the form a + p*v and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 11. What is the biggest value in -8\/9, 0.2, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 6 + -10 + 32 - (96 + -91).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 1346*c - 323265. What is u(-208)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -5*w - 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8250989 divided by 6?\nAnswer: 8250989\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - (-6 + 3))*-1. Let t(f) = 1. Let l(q) = q + 3. Let v(s) = k*l(s) + t(s). Let d be v(-2). Solve -1 = -y + d for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7419 + -7416. Calculate the smallest common multiple of c and 17307.\nAnswer: 17307","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 6*v**2 - 8*v + 10. Let d be c(-7). Suppose -10*q = -d*q. Solve s - 17 + 13 = q for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 130176366.\nAnswer: 1431940026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 5*v - 4. Suppose 16 = f - 5*f. Let j be x(f). Suppose 1\/3*p**3 + 0*p**2 + j*p + 0 = 0. Calculate p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2 + 2*j - 3. Suppose 9 = 4*g - 15. Let t = g + -2. Is i(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10*(-84)\/1575 - (2\/3)\/(-2). What is the closest to -0.03 in q, 5\/7, 1\/23?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133 (base 7) to base 11\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence px when two letters picked without replacement from {x: 1, p: 11, b: 4, t: 2, m: 1}?\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1.1 (b) -2\/13 (c) 14\/11 (d) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5*k**2 - 327*k - 2034. Determine q(-6).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -21. Suppose c = 5*u - 35, -2*u + c = u - s. Suppose -5*f + 0*d = 4*d - 24, -f = -4*d. Solve -12 = -f*n + u*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6465 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-146)\/(-44) - (-16)\/88. Let d be (-5)\/9 - (4 - (-10)\/(-2)). Sort u, 3, d in decreasing order.\nAnswer: u, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14*6\/(-42))\/3.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -32 - 27 - 30 + 83 + 40*g + 39*g in the form l + s*g and give s.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 11*c**2 + 10*c - 20. Let x be i(-12). Solve -x*l = 7*l + 55 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4*d - 3*d - 63 = 0, 2*f + 3*d = 53. Is 6 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 492934.8084 and 7.\nAnswer: 492941.8084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/46 and 52\/69?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 5*x + 5. Let b be m(5). Suppose 0 = -b*c + r + 23, 4 = 4*c - r - 14. What is the common denominator of (218\/3)\/(c - 1) and 89\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539)*1 + sqrt(19) - sqrt(114)\/(sqrt(24)\/sqrt(4))) + (sqrt(1539) + 1 - (sqrt(19) + -1)*1).\nAnswer: 2 + 17*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 34b (base 12) in base 5?\nAnswer: 3431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -188, 3, -1, -4, -3 in descending order.\nAnswer: 3, -1, -3, -4, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nxxn when four letters picked without replacement from oxnxwunujxn.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**3 + 0*a**3 + a**3 + (-5*a + 7*a - 11*a)*(-5*a**2 + 4*a**2 - a**2) to the form t + b*a**3 + x*a**2 + d*a and give b.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/166 and -77\/15?\nAnswer: 2490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**4\/2 - 652848*q**3 - 1958535*q**2 - 1958532*q - 1305687\/2 = 0. Calculate q.\nAnswer: -435229, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 6065673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.32545 kilometers to micrometers.\nAnswer: 23325450000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -11*o + 9. Let n(q) = -44*q + 47. Let g(r) = -11*r + 12. Let v(f) = -22*g(f) + 6*n(f). Let l(s) = 5*a(s) - 3*v(s). Is 5 a factor of l(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -361a + -2490?\nAnswer: -5aaa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -42*b**3 + 10*b**2 - 13*b - 501. Let z(f) = 20*f**3 - 8*f**2 + 6*f + 251. Let r(a) = 3*w(a) + 7*z(a). What is the second derivative of r(i) wrt i?\nAnswer: 84*i - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5013 or -4767?\nAnswer: -4767","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -198677 not equal to -198679?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - a + 3*a)*(86*a - 193*a + 1 - 106*a).\nAnswer: -639*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184 + 444 - 258 = 9*f - 269 for f.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208981 - 120971 = -13123*g - 40242 + 208964 for g.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -4. Let a = 6 + -2. Let m = a + c. Solve 2*k - m = 3*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 3*c**2 + 5952*c + 94464 = 0.\nAnswer: -1968, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -10*w - 4. What is the remainder when u(-5) is divided by (-3 + -1)\/((-1)\/3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -4, -1, -1853, -38, 1 in ascending order.\nAnswer: -1853, -38, -8, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 364550 and 250.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 24 * -492\nAnswer: -11808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*i = 87775, 3*c = 150*i - 155*i + 87766. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172 = 3*p - 181, -2 = -8*d + 2*p for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 3*k + 3. Give o(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 2 - 2)*(-4 + 2 + 3) - 1 + 2 - 3 + 2 - 2 + 1 + (-1 + 5 + 6)*(-1 - 2 + 2))*(3*u**4 + 2*u**4 - 4*u**4).\nAnswer: -10*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 p when two letters picked without replacement from opipoiihiiei?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -2\/1223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1378\/(((-260)\/39)\/(-10))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 75. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 20*i**3 + 6*i**2 + i - 4. Let k(a) = 2*a**3 - 3*a**2 - 2*a - 2. What is 2*k(p) - u(p)?\nAnswer: -16*p**3 - 12*p**2 - 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5289*v - 747648 = 2683*v + 222*v - 5404*v for v.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.24 - 11.24. Let p = z - -14. Let o be 3*1 + (1 - 3). Is p less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1594, 6371, 14330, 25471, 39794, 57299?\n\"Answer: 1591*h**2 + 4*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 8*n**2 - 12*n + 141. Let l be z(6). Put l, -2, 1, 13, -6 in increasing order.\nAnswer: -6, l, -2, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 332512245?\nAnswer: 332512241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4*s + 2. Suppose 3*o = 7 + 29. Calculate the remainder when t(5) is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3923, 31384, 105941, 251144, 490543, 847688?\nAnswer: 1346129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320)\/sqrt(200))\/(sqrt(20)\/(1*sqrt(490))).\nAnswer: 14*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 20*d**3 + 3639*d**2 - 181*d + 188. Give o(-182).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101101 - 110110020100?\nAnswer: -110110121201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 11 + 4 = 3*z, -3*z + 9 = 0. Sort 0, s, 3 in increasing order.\nAnswer: 0, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/2707 and -38\/7.\nAnswer: 18949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 69607426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 26683480 rounded to the nearest 100000?\nAnswer: 26700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85598677?\nAnswer: 61, 1403257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4*x**2 + 35*x + 7. Let t(z) = z**2 - 9*z - 2. Give 6*k(n) + 22*t(n).\nAnswer: -2*n**2 + 12*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 576*g + 37. Is v(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21557?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, h: 6, m: 1, b: 7, d: 2}. What is prob of picking 1 a, 1 b, and 1 m?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 i when two letters picked without replacement from {u: 3, i: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 33\/(-55) - 1674\/(-15). What are the prime factors of 37\/a + (-1900)\/(-6)?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - -1) + -1 + 4. Suppose a = -t, 5*x - 3*t + 20 = -2*t. Let f = x - -3. Are f and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 143*l**2 - 1084*l + 562. Give f(135).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9, -5, -29, -69, -131, -221, -345, -509?\n\"Answer: -l**3 + l**2 - 10*l + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 6*w + 7. Let t = 5 - -5. Let r(u) = -u + 15. Let j be r(t). Determine v(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 1 = i, -3*i + 8 = -b - b. Solve z = i*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36\/9 + (640\/1792)\/((-2)\/(-28))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -68? (a) 11 (b) -5 (c) -96 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88 and 77267928.\nAnswer: 849947208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.87 + 0.96. Is t less than -3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and -11900211560431.\nAnswer: -11900211560431.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45198, -90462, -135726, -180990, -226254?\nAnswer: -271518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, o: 1, q: 1, v: 2, p: 4}. Give prob of picking 1 k and 1 q.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2\/6 + (-5)\/(-3) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1689 + 44b?\nAnswer: 1b18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -116d7b - 1?\nAnswer: -116d7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3525*94\nAnswer: -331350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 569360 is divided by 4787?\nAnswer: 4494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*g**5 + 4*g**3*t + 654*g**2*t + g**2 wrt g?\nAnswer: -1980*g**2 + 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*r - 28*r + 25*r = 693 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 + 36. Suppose -j*s = 4*o - 7*s - 55, -4*o + 60 = -4*s. What is the smallest common multiple of 16 and o?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2816 = -13*q - 2959 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 445419072.\nAnswer: 2, 3, 7, 61, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 199 - 200. Which is bigger: n or -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 41061023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-18)\/28 - (-28)\/49)*-8. Let r = 55\/147 + -2\/49. Which is smaller: d or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k**4 - 47*k**2 - 2*k**4 + 91 - 27*k - 92 + 24*k to the form o*k**3 + m*k**4 + f*k**2 + p*k + v and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50473, -100938, -151403?\nAnswer: -201868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 divided by -58100?\nAnswer: -138\/14525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 5 (b) -6 (c) 19 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38\/13 - -5138\/39. Let o = b + -135. What is the second biggest value in -2\/7, o, 9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 5*p + 35 = 0, -s - 4*s = 3*p - 27 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -249?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0, -2, 8, 1\/289726, 1\/7 in decreasing order.\nAnswer: 8, 0.4, 1\/7, 1\/289726, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -9*g**2 - 160*g - 623. Give q(-4).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 6*x**2 + 5. Let o = 37 - 40. Let j be 6\/(o\/(-2 - -8)*2). What is d(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -508, -1\/11, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*u - 84, 7*o + 60 = 4*o + 3*u. Which is smaller: 2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6930)\/324)\/7*204\/(-340).\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and 1.2871?\nAnswer: 1.3871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 417, 831, 1245?\nAnswer: 1659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - u + 28. Let q be k(0). Suppose 9*f - q = 4*f + 4*s, -5*f = 2*s - 16. Solve 0 = w - 4*d - f, -5*d = -5*w - 0*d + 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115173*w - 52137*w + 25428*w.\nAnswer: -141882*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 562, 566, 572, 580, 590, 602, 616?\n\"Answer: f**2 + f + 560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14095127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*y = 232889 - 11175 - 29210. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/21*(-230)\/138\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-4)\/(k\/k**(-3))*((k\/k**(-9))\/k)\/(k*k**(1\/3)) assuming k is positive.\nAnswer: k**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196 = 9*m - 2*m. Is m a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5*p**3 - 2*p**2 + 2. Let m(w) = -19*w**2 + 33 + 6*w**2 + 81*w**3 - 20*w**2. Determine -2*m(o) + 33*s(o).\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 6*x**2 - 10*x - 1. Let n be z(-3). Suppose 27*i - n*i = 41275. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 o when two letters picked without replacement from wooo?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 836?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 + -15 + 7 - 7279997. Round g to the nearest 100000.\nAnswer: -7300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(2\/13))\/(q**(3\/5)\/q)*q**(17\/2)*q*q\/((q*q*q*q**(3\/8)\/q*q)\/q)*q*q)**(-44) assuming q is positive.\nAnswer: q**(-66803\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/5)*w)**21*w**10*w**14 assuming w is positive.\nAnswer: w**(267\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**3 - 14*o**2 + 14*o. Let c(y) be the first derivative of y**3\/3 - y**2\/2 - 1956. What is -28*c(j) - 2*u(j)?\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -14*o**3. Let v(w) be the third derivative of w**6\/120 + 11*w**2 + 8*w. Determine 5*c(j) + 80*v(j).\nAnswer: 10*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.25? (a) -4 (b) 2 (c) -56052\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 2124957\nAnswer: -4\/708319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t - 31 + 37 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 19*q + 26*q - 83*q + 25*q + 15*q. Let m(o) = -46*o**2 + 25*o**2 - 41*o**2. Determine x(m(h)).\nAnswer: -124*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/72*-6*-5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*j**3 - 21*j + 11*j**2 + 5*j**3 + 4*j + 14*j + 0*j in the form c*j + n + t*j**2 + q*j**3 and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 6:19 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-490)\/40*-2*(-2 - -4). Suppose 0 = -23*f + 210 - h. Solve f*y + 20 = 2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 185.34 to 0 decimal places.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 8:30 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9, 1\/3, 7.54?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 76b04 (base 12) in base 15?\nAnswer: 3183d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.047 - -10. Round z to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -141*i + 53 + 289 + 222 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.080886l?\nAnswer: 8080.886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 76 by 408.\nAnswer: 19\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (-460)\/12*(-77)\/231.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 2*r + 0*r)*(26*r**3 + 11 - 10 - 22 - 66).\nAnswer: 52*r**4 - 174*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**3 + 806*u - 806*u - 5*u**3.\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 544 - 86 - 53 = 27*u for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - -12. Does 16 divide (-80)\/12*(-72)\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**3 - 3*y**2 + 2. Let l be u(2). Let v = l - 3. Solve 20 = -v*s - s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 22 + 49*s - 34 + 12. Let a(i) = -42*i**2 - 34*i**2 + 75*i**2. Determine a(d(l)).\nAnswer: -2401*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5726 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.7917 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44490603 and 3.\nAnswer: 44490603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*r*s + 38*r + 14*s**2 + 1 with respect to s.\nAnswer: -2*r + 28*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 31\/((-31)\/6)*(-5 + 4). Let f(y) = -y**2 + 11*y - 17. Give f(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2633760 and 16702?\nAnswer: 2650462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rwww when four letters picked without replacement from {w: 7, r: 3, f: 3}.\nAnswer: 21\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/3348 and -99\/53444?\nAnswer: 1442988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyzz when four letters picked without replacement from yzyzzyzyzzzyzz.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2916 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -9 + ((12 - 6) + (8 + 5 - 56) - 3)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -85*22\/7106*(36\/28 + 2\/(-7))?\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 12*i - 120. Calculate the remainder when 65 is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 89719.15 nanometers?\nAnswer: 0.08971915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2898638883 plus -41?\nAnswer: -2898638924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 26 - 58 = -3*m, -5*m - q = -184. Let o be 10632\/28 - (-4)\/14. Calculate the highest common factor of o and m.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28397, -28678, -28961, -29246, -29533, -29822?\nAnswer: -30113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 14399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -68.47? (a) -3 (b) -17\/4 (c) 6\/17 (d) -1 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 605*q + 596*q - 1206*q. Let n(x) = -x - 1. Determine l(d) - 4*n(d).\nAnswer: -d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*t + 16*t. Let i = 53 - 34. Let d = 19 - i. Which is the nearest to t? (a) -1\/7 (b) d (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -2, 20 in ascending order.\nAnswer: -4, -2, -1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -8*m. Let z be t(1). Let l be 2\/z + (-129)\/(-36). Which is greater: 2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g + 909601 = -21*g - 2*m + 911181, 3*g - 2*m = 169 for g.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 7.61796um?\nAnswer: 0.00000000761796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*a = 53650 - 53175 for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - y + 60 = -4*p, -98 = -3*y + 4*p. Let d = y - 26. Let g = 18 - d. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -0.5 (c) -0.231 (d) 2\/35 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1433, 2872, 4295, 5696, 7069, 8408, 9707?\nAnswer: 10960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -1\/60*u**6 - 4*u**2 + 8\/15*u**5 + 0*u + 0*u**4 + 0*u**3 - 2 + 1\/14*u**7. What is the third derivative of j(l) wrt l?\nAnswer: 360*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 7:50 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.3768213 minus 609?\nAnswer: -548.6231787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 480.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*x + 938 + 198. Let t be -1*(x\/(-7) + (-4)\/(-14)). Suppose -8*m - t = -84. What is the smallest common multiple of 4 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**2 + 3544*r + 2*r**4 - 3541*r + 4*r**4 + (-2 + 0 + 3)*(5*r**4 + r**4 - 4*r**4).\nAnswer: 8*r**4 - 2*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s - s - 5*s)*(0*s - 5*s + 0*s + 6*s) as r + w*s + i*s**2 and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 45. Calculate the remainder when c(29) is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 957, 1921, 2887, 3855?\nAnswer: 4825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(11) + -2*sqrt(11))*-1 + 4 - 3*-1*2*(sqrt(11) + -1 - sqrt(11)))**2.\nAnswer: 20*sqrt(11) + 279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3)*g**(-4))**23\/((g**1)**(1\/2))**(30\/13) assuming g is positive.\nAnswer: g**(-2108\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 45378161 to the power of 1\/3, to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 divided by 6?\nAnswer: 115\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 38892052145 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2421 - -1?\nAnswer: -2420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14210, 14211, 14212, 14213?\n\"Answer: o + 14209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m - 7*m + 2*m)*(-7 - 21 + 13) + (-4 + 3 + 2)*(m - m - 2*m).\nAnswer: 118*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-2 - (2 + -5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g + 25. Let x be v(-8). Put x, -8, 0.2 in descending order.\nAnswer: x, 0.2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 27499\/(-3003) - (-28)\/(-98). Let k = -230\/39 - h. What is the common denominator of k and -16\/5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h + q + 23, 4*h + 12 - 30 = q for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**4\/12 - 7*a**3\/3 + 6*a**2. Does 6 divide b(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -b**5\/15 + b**4\/12 + b**3\/6 + 5*b**2\/2 + 4*b. Let z(s) be the first derivative of n(s). What is z(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -14, -0.4, -1\/3, -151\/8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 16 = 19. Let f(k) = 6*k + 5. Let x(v) = 5*v + 5. Let g(w) = 51*w + 51. Let a(u) = -2*g(u) + 21*x(u). Let z(s) = t*a(s) - 4*f(s). Give z(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2136*o**4 + o**2 + 1495711 wrt o?\nAnswer: -8544*o**3 + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8365852 and 304?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216784876.\nAnswer: 2, 7, 11, 41, 17167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + ((sqrt(475)*-6)**2 + (sqrt(19) + (sqrt(19) - (sqrt(19) + 0)*-6) + sqrt(19))**2)*4).\nAnswer: 447336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3738246kg to micrograms.\nAnswer: 373824600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/3546 and -101\/516006.\nAnswer: 101653182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 614.\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (79 + -282)*(-1 - (-2 + (0 - -2))). Solve 119*d = 90*d + v for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 611, 779, 1311, 2399, 4235, 7011, 10919, 16151?\n\"Answer: 32*r**3 - 10*r**2 - 26*r + 615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 2201011022?\nAnswer: 2201011012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-20)\/2*1*(-4)\/8 and 49?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*g + 12*g + 26900. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -59 + 7157?\nAnswer: 70a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2\/3, 4, -2\/5.\nAnswer: -2\/5, -0.2, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 130*b - 161*b - b**3 + 418*b - 2*b**2 - 128*b. Let r(c) = c + 6. Let z be r(-7). Let j(a) = a. What is z*j(k) - 2*s(k)?\nAnswer: 2*k**3 + 2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 212373407?\nAnswer: 212373422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/(-55))\/(9\/(-6)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17935 is divided by 37?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94990, -190072, -285334, -380866, -476758, -573100, -669982?\nAnswer: -767494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 29*h**2 - 78*h - 65. What are the prime factors of f(19)?\nAnswer: 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.2, 0.2, 0.01533, 2.\nAnswer: -0.2, 0.01533, 0.2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 25\/4 of a microgram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2117882 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 11 = 13. Let h = -3 + b. Suppose -h = -v - 10. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 4*a. Suppose 21*r + 3 = 18*r. Let u(i) = -i. Let d(w) = r*y(w) + 4*u(w). Let z(p) = -103*p**2. Calculate z(d(b)).\nAnswer: -103*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - t - 1. Let g = -4 + 3. Let j(u) = -u**3 + 2*u**2 - 2*u - 2. Let c = -5454 - -5456. What is c*n(x) + g*j(x)?\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*r + 2*s = 239, -r - 293*s + 289*s = -63 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-140)\/98 - (-75)\/(-21)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 694226154?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j**3 + 3*j**2 + 7*j - 19. What is the remainder when g(3) is divided by 42?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2892, 2885, 2878, 2871?\nAnswer: 2864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/7 - 5039*d\/7 - 25170\/7.\nAnswer: -(d + 5)*(d + 5034)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*p - 0*p. Suppose 7*o - 71 = -p. Calculate the remainder when 28 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10150 + 5237. Let n = o + 6904. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-77)\/(-5) + (-4)\/10. Suppose -10 = -3*k + 2*j, -3*k - 2*j - o = j. Let p(g) = 5*g**2 + g + 1. Let c be p(-1). Solve k*u = c*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, n: 2, s: 1, l: 1, h: 1, e: 3}. Give prob of sequence sw.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4015, -8028, -12041, -16054, -20067?\n\"Answer: -4013*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18793712?\nAnswer: 2, 7, 167801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.092000173 + -0.092. Round c to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -p**6\/960 - 7*p**5\/480 - 11*p**4\/192 - 5*p**3\/48 - 87*p**2. Suppose b(n) = 0. Calculate n.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/55 and -73\/88.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2126*q = -2128*q + d + 11, q - 2*d + 7*d = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -80\/17 + 2\/17*d**3 - 22\/17*d**2 + 76\/17*d.\nAnswer: 2*(d - 5)*(d - 4)*(d - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 309*n + 102*n + 109*n + 249*n to the form r + i*n and give i.\nAnswer: 769","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-37)\/(-3))\/(-12 + 1538108\/128172)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*x + 107*x = -h - 87, -h + 17 = 3*h + 5*x for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 51\/15 + (2 - 7\/5). Suppose 3*p - b*n = 355, 4*n = p + 7*n - 114. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1091 and 14?\nAnswer: 15274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -78*u**3*w**2 - 7*u**3 + 2*u**2*w**3 + w**3 + 80*w wrt w.\nAnswer: -156*u**3 + 12*u**2*w + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(135)*-3)\/(1*-1*sqrt(245))*-1.\nAnswer: -54*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q - q - 4*q - 3. Let j(r) = r**3 - 7*r**2 - 21*r + 25. Let u be j(9). Give o(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 195.2637l?\nAnswer: 195263.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jggggjgg. Give prob of picking 1 j and 1 g.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -44*y**2 - 4. Let x(f) = 44*f**2 + 5. Let d(p) = 5*s(p) + 4*x(p). Let b(m) = -m**2. Calculate d(b(z)).\nAnswer: -44*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9682190327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dxd when three letters picked without replacement from {d: 3, x: 1, a: 5, t: 1, f: 1, e: 1}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 4*m**2 - 4*m - 4. Let j be q(5). Calculate the remainder when 36 is divided by (4 + -4 + -4)\/(j\/(-2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**3 + 44*c**2 - 114*c + 25. What is the remainder when 144 is divided by q(19)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86 - 1171054.\nAnswer: -1170968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3164 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 1751*h**3\/3 - 1581*h**2\/2 - 3806. What is the second derivative of c(b) wrt b?\nAnswer: 3502","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3226038 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -126*f - 1 wrt f?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1718*c**2 - 18042*c**2 - 11928*c**2.\nAnswer: -28252*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -38, -140, -310, -548, -854, -1228, -1670?\n\"Answer: -34*q**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*j = 6*q + 47, 0 = 2*j + 10. Let b = q - -11. Let f be (-4)\/b*(-4 - 2). Which is bigger: f or 7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -h**3\/3 + 30. Let b(d) = -d. Determine b(s(t)).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 140\/75 + 12\/18*-3. Which is the second biggest value? (a) v (b) -98 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28 + -4)\/32)\/(6\/30*15\/39).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 17 = 3*v, 12*b - 10*b - 4*v = -4. Sort 674, b, -1 in descending order.\nAnswer: 674, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 2*m + 10, -2 + 3 = -3*o - m. Let q(j) = -4*j**3 - 5*j**2 + 14*j + 16. Let p be q(-5). Let w = p - 318. Sort o, w, -5 in ascending order.\nAnswer: -5, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 2 + 0 - 5) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -3, -1.244, -3\/104?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5494534.\nAnswer: 2, 19, 144593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x - 17*x = 12. Suppose -15 = -g + x*f + 51, -2*f = -3*g + 228. Suppose -4*l + g = -l. What is the greatest common divisor of l and 208?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 divided by 70287?\nAnswer: 50\/70287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2645*s**3 - 91*s**2 - 5?\nAnswer: -15870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4697 + 699. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66092933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -27\/8 (b) -4 (c) -1\/122 (d) 2 (e) -0.86\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 407584, 407619, 407652, 407683, 407712, 407739?\nAnswer: 407764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2343069 by -3039.\nAnswer: -771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/((sqrt(48) - sqrt(12))*-3) - (1*sqrt(2736) + sqrt(19) + sqrt(76)\/(sqrt(4)*-2))**2.\nAnswer: -11875\/4 - sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6255 and 54.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -736 + 549. Let l = g - -186. Which is the closest to 10? (a) 4 (b) l (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.16 + -0.3. Let u = 1.14 + m. Let z = 0.46 - 0.06. What is the nearest to u in -2, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 3:27 PM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/6 and -23\/4264?\nAnswer: 12792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -v + 4, -d + 14 = 5*v - 6. Solve -v*w + 3*o - 11 = 0, 13 = 3*o - 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30 + 422013?\nAnswer: 421543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f - 13*f - 15 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 637259 is divided by 6114.\nAnswer: 1403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 576.8 - 558.8. Which is the fourth smallest value? (a) -0.1 (b) h (c) -2\/5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/51 in 3, -968\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3 + 402868*v**2 - 10143309760*v - 30433555200.\nAnswer: -4*(v - 50360)**2*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21647 is divided by 231.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 9*w**2 + 4*w + 1. Let t be q(-11). Suppose -191 = 19*r - t. Calculate the remainder when r is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2809 - 2731. What is the highest common divisor of d and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93, 185, 277, 369, 461, 553?\nAnswer: 645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + -587467389389?\nAnswer: -587467389388.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18017176 and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(156)\/(sqrt(132)\/sqrt(11)) - 2*sqrt(117))*6.\nAnswer: 120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 4*u + 12, 6*u - 12 = 4*u. Find y, given that 0 - 2\/3*y + 4*y**2 - h*y**3 = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 71 - -34?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -40*l**2. Let o = 67 - 50. Let b(a) = -10*a**2 - 8*a**2 + o*a**2. Determine b(j(h)).\nAnswer: -1600*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) - sqrt(70)\/(2*sqrt(7)) - sqrt(10))\/(sqrt(288)*-2 - sqrt(2)).\nAnswer: sqrt(5)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1127*i + 29877 - 464382 = 2479*i + 1629*i for i.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/((sqrt(128)*-6 - sqrt(2)) + sqrt(2)) + 2 + 2.\nAnswer: -sqrt(17)\/48 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -342 - 5?\nAnswer: -347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 15*k**2 - 5*k + 8. Let n(x) = 12*x**2 - 3*x + 4. Let c(q) = -3*n(q) + 2*z(q). Give c(2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000150327 rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqhhwwwqhhqwaaq. Give prob of sequence haqw.\nAnswer: 4\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*j - 90*j + 60*j + 6*j + 7*j + 12*j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122102002 (base 3) to base 10.\nAnswer: 12692","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/259 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 96*j**2 - 7574*j - 9168423 wrt j.\nAnswer: 192*j - 7574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1606811 to the power of 1\/2, to the nearest integer?\nAnswer: 1268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12920 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*p + 20. Let j = -4 + 2. Sort -1\/4, p, j in descending order.\nAnswer: p, -1\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/4*(-8176)\/(-3577)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366692792.\nAnswer: 2, 37, 1238827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (420\/175)\/(2 - (1 - (-1547)\/1550))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 6*p**2 + 4*p + 6. Let k be v(5). Let x be 0 - (k + -1) - -1. Let m be (-86)\/(-8) - (-3)\/12. Calculate the highest common factor of x and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0108 + 1.6108. Let n = -1.5 + 1. Which is the smallest value? (a) 3 (b) -2\/11 (c) n (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -32133103?\nAnswer: -32133102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 8*y + 5. Let x be i(5). Let d = x - 25. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 618*z + 4 - 4 + 277*z.\nAnswer: 895*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127 divided by -10083.\nAnswer: 127\/10083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1469 is divided by 256.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -198a (base 13) to base 7.\nAnswer: -14113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 4 = 0, 4*d + w + 2 = 6*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 335 = 359 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.93 plus 9?\nAnswer: 9.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1651262831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -16*g - 15, 3367652*n = -5*g + 3367656*n + 29 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 34*w**2 - 36*w + 101. Let h be s(33). Solve 3*d**h - 1\/3*d**3 - 11\/3*d + 4\/3 - 1\/3*d**4 = 0 for d.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -q**7\/5040 + q**6\/30 - 47*q**5\/240 - q**4\/24 - 22*q**3\/3 - 87*q**2. Let y(i) be the second derivative of g(i). Factor y(r).\nAnswer: -(r - 47)*(r - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 2:59 AM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*-3*(-2)\/6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -78335*u**3 - 347783 wrt u?\nAnswer: -235005*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 431787 and 1467.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4492\/5 - -9047\/10. What is the common denominator of k and -3 + (500\/32 - 1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 12*v + 1. Let n(c) = 12*c + 1. Calculate -6*n(k) + 5*r(k).\nAnswer: -12*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*i**4 - 793*i**3 - 4655*i**2 - 3786*i + 1080 = 0. Calculate i.\nAnswer: -12, -9, -5\/4, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 11 + 44)*(-3*t - 2*t + 7*t)*(-2*t**2 + 1 - 1).\nAnswer: -156*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -492*s**2 + 14*s - 34*s - 33*s + 2969*s**2 + 53*s.\nAnswer: 2477*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 721372, 720602, 719832, 719062, 718292?\n\"Answer: -770*s + 722142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 255 - 478 - 20*m + 19*m + 4*m**2 - 6 - m**3 - 563 in the form y*m + p*m**2 + c + b*m**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 877106 and 9831?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 + 26. Put 1, 23, s in increasing order.\nAnswer: 1, s, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.6 + 5.5. Let t(g) = -g**2 + 4*g + 5. Let m be t(5). Let q(x) = -x**2 - 2. Let y be q(m). Which is the closest to u? (a) 2 (b) -2\/13 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 9. Suppose -4*u - i + 76 = 0, 5*u + 53 - 173 = o*i. What is the remainder when (42\/(-8))\/((-5)\/u) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 2*h)*(-5533*h + 8115130 - 8115130) to b*h + v*h**2 + a and give v.\nAnswer: 11066","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwoo when four letters picked without replacement from {s: 1, w: 3, o: 4}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*q**3 + 10 + 68*q - 68*q - 90 + 2*q**3.\nAnswer: -12*q**3 - 80","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53 + -38. Suppose 28 = 5*w + d, -4*w + 2*w + 3*d + 18 = 0. Calculate the highest common factor of k and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1004778 and 3450.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*x - 35 + 75. Suppose d - 2*l = 5*d - 7494, 0 = d - x*l - 1846. Is d a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 105\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.042664 + -0.02475.\nAnswer: 0.017914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3800014 plus -5?\nAnswer: 3800009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - n**2 - n. Let l(x) = -7*x**3 - 6*x**2 - 7*x. Let t(a) = 6*j(a) - l(a). Let i be t(0). What is the closest to i in -2\/15, -4\/5, 3\/2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*d = 5*s - 20292, 27090 = 4*d + s. Is 62 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*f = -15, 3*f + 10 = i. Let j(k) = k. Suppose -10 = 5*g - o, 0 = -o - 5. Let p be j(g). Which is the closest to 2\/3? (a) -1 (b) p (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.054101 and 1082?\nAnswer: 58.537282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0264*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24650, -98326, -221120, -393032, -614062?\nAnswer: -884210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5976.9 + -5977. Which is the third smallest value? (a) h (b) 6 (c) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170 = 4*l - 42*h, 172*h = -l + 174*h for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/2 or -186.64?\nAnswer: -186.64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 634 is divided by 59?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 81 = -4*n + c, -5*n + c + 102 = 0. What is the derivative of -1 + 6*f**2 - n*f**2 + 51*f**2 wrt f?\nAnswer: 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**5 - 1490*d**4 + 85300*d**3 - 1279000*d**2 + 5700000*d = 0.\nAnswer: 0, 10, 50, 228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 6. Suppose 0 = 5*s + 4*w - 8*w - 13, h*w + 5 = s. Let v be (s - 7)*4\/(-18). What is the third smallest value in 4, -9, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -4, -3, 0.5, 48.1, 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y = -22*y + 70. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/12*15\/21)\/(1700\/510)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4*(5 + sqrt(77)\/(sqrt(88)\/sqrt(8)) + sqrt(77)\/sqrt(99) + sqrt(7)))**2.\nAnswer: -18176\/9 - 2240*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p**2 - p. Let n be h(-1). Let g(c) = -c**2 - 10*c - 8. Let a be g(-9). Suppose 4*x + n = -3*j - a, 0 = -x - 4*j - 8. Solve -2*u + 5 - 1 = x for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*1*sqrt(153) + (3 + sqrt(153) + 3)**2 + sqrt(153))*-1 + -2.\nAnswer: -194 - 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4\/21 + 5\/14. Let u = -3.46 + -3.86. Let o = -0.32 - u. What is the smallest value in -0.2, o, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**2 + 3*p**2 + 0*p**2 + 4*p**2 - 6*p**2 + 4*p**2 + (-2*p**2 + 4*p - 4*p)*(1 + 0 + 1) - 53*p**2 - 55*p**2 + 113*p**2 + 1.\nAnswer: 4*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 102 (base 9) to base 2\nAnswer: 1010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**4 + 3 + 4*f**4 - 2 + 3 wrt f.\nAnswer: 24*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2369 and 2781.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18*d**3 - 3579*d**3 + 83*d**3 + 84*d**3 - 2103 wrt d.\nAnswer: -10290*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 5:35 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 35*o**2 + 70*o + 200. Let a(m) = 22*m**2 + 47*m + 133. Let i(p) = 8*a(p) - 5*z(p). Calculate i(-23).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-284)\/639*28\/336*3*3\/2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/234 and -127\/12.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20\/299 - -2\/23. Let k = 0.43 + -0.03. Which is the closest to 1? (a) v (b) 0.5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 3 + sqrt(432) + -2)*-6)**2.\nAnswer: -864*sqrt(3) + 15588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0166579 rounded to three decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 10:50 AM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and 26698?\nAnswer: 26698.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1009 - 8075\/8. Let m be (17\/((-1071)\/(-36)))\/((-1)\/(-1)). Which is the nearest to 0? (a) i (b) m (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - -12. Let r be 6\/39 + 126\/j. Solve r*m - 11 = -1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 6*w - 19 + 45 = 4*w - 56, -2*w = -61*y - 46 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*v + 19. Calculate the remainder when 75 is divided by v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85245415 is divided by 5462?\nAnswer: 5443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrporppoporpproprr. Give prob of picking 1 r and 3 o.\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 + 4)*(5*q - 3*q - 4*q).\nAnswer: -16*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*3*(sqrt(88) + (sqrt(88) - (sqrt(88) + (sqrt(88)*2 - sqrt(88)) + sqrt(88))))*-4)\/((sqrt(396)\/(sqrt(27)\/sqrt(3)))\/(sqrt(12)\/sqrt(3)*-1)).\nAnswer: -72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence km when two letters picked without replacement from {n: 1, o: 1, m: 2, s: 2, k: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**2\/f)\/f)**(3\/2) assuming f is positive.\nAnswer: f**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4*z**2 - 1 + 66*z**2.\nAnswer: 62*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*j + 4, -j = -o - 8 + 6. Let z(a) = -15*a + 1. Let v be z(j). Solve v = 13*c - 14*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 + -1.49. Let z = r + -55.71. Let p = 68.6 + z. Round p to zero dps.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/17187 and -4\/8279?\nAnswer: 8370069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 352083011 and 6923?\nAnswer: 6923","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58 by -13546.\nAnswer: 29\/6773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (27 + -3)\/(-6) - 255\/(-60). Let k = 38 - 47. Which is the biggest value? (a) -54 (b) t (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, m: 2, z: 4, p: 1}. What is prob of sequence zm?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 9266 - (4 + -8). Let m = 15270 - y. Suppose x = z - m, -5*x - 2*z - 16500 = 13496. What is x rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3698 and 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 21*x**5 - 114*x**4 + 96*x**3 + 222*x**2 - 117*x - 108 = 0.\nAnswer: -1, -4\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 130.9399 to 1 dp.\nAnswer: 130.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62*r**2 - 289*r + 289*r to the form z + l*r**2 + o*r and give l.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 232302 + 102010101?\nAnswer: 102303003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/54*(-34)\/((-272)\/24)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52\/365 + 5413\/1460. Let o(z) = z**3 - 2*z**2 - 2*z + 1. Let m be o(2). Calculate the common denominator of j and (m\/(-4))\/(7\/406).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -2097590\nAnswer: 7\/2097590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 694 is divided by 693.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*w - 5*b, 5*b - 8*b - 10 = -5*w. Suppose 5*v - 31 - 19 = 0. Suppose 6*d - 14 = 3*d + c, v = 3*d - w*c. Solve 0*x + 2*x = d for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 13 + (-6 - 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 515426528 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 688046719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/(-12750))\/((-2)\/(-90)*-6).\nAnswer: 1\/100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -9465*i + 18938. What is x(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000827 rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 1450*z**3 - 829*z**2 + 4*z - 28. Is m(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**(-1\/4)*l**4)\/(l\/l**(3\/8)*l**(-2\/21)\/l*l))**16 assuming l is positive.\nAnswer: l**(1754\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/18 + ((-8)\/(-14))\/((-108)\/126).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - 0.5. Let z be -4*((-2)\/11 + (123980\/(-6600) - -19)). Which is bigger: z or v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13371 to the power of 1\/2, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000078993 rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 12. Let f = -640 + 646. What is the nearest to -1 in g, 3\/4, f?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1567669.\nAnswer: 439, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 189.\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/96924672 and -23\/72693504.\nAnswer: 290774016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 208 - 321 - 13*i + 10*i + 13*i - 376 as z + u*i and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 16 = -12*s - 2*y, -2*y - 4 = -3*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -620472412 - 0?\nAnswer: -620472412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7019?\nAnswer: 7019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*v - 2 + (-4*v - v + 3*v)*(-1 + 0 + 2) + 16*v - 20*v - 42*v to u*v + q and give u.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b - 5. Let m(c) = -2*c + 2. What is -3*d(x) - 7*m(x)?\nAnswer: 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42887.61 - 43369. Let v = 481 + s. What is v rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*y**3 + 2*y**3 + 11*y**3 - y**3 - y**2 + y**2 + (-2*y + 0*y + 4*y)*(3*y**2 - 3*y**2 - y**2))*(15 - 9 + 18)*(-3*y + 4*y + 0*y).\nAnswer: -48*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 51500 and 432600?\nAnswer: 2163000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 511938333 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44283022 or 44283023?\nAnswer: 44283022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((9\/(-63))\/(-1))\/((-4)\/(-14))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, z: 3}. Give prob of picking 1 z and 2 x.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222451 is divided by 37013?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 - 40 + 70)*(-2*u - u + 5*u) + 4*u + 2*u - 3*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -293150, -586295, -879438, -1172579, -1465718, -1758855?\nAnswer: -2051990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - -20. Let a be (-210608)\/r*21\/40. Let h = -4612 - a. What is the common denominator of -137\/6 and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 52571, 52446, 52245, 51974, 51639, 51246?\n\"Answer: k**3 - 44*k**2 + 52614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 9*w - 1. Is h(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.94 + -0.06. Let r = -7.1 - -7.182. Let k = r - -0.118. Put k, 6\/7, m in decreasing order.\nAnswer: 6\/7, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11\/10 in 4, -1531, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 + 79 - 23)*(42*f + 44*f - 96*f)*(-3 + 0 + 0).\nAnswer: 570*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (l + 0*l + 2*l)*(-4 + 1 + 4) + (-l + 3 - 3)*(6 - 1 + 0) - l + 2*l + 3*l as o*l + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1\/555, 0.15, 31, 1\/8?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/1)\/((-2)\/(-3)). Suppose -5*n - 3*d = -5, 3*n + 6 = -3*d + o. Suppose n*u - 5*t = 35, t - 4*t - 19 = -2*u. Solve y + 0 = u for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**3 - 7*t**3 + 40147 - 40194)*(3*t - 4*t - 4*t).\nAnswer: 20*t**4 + 235*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ujrwjrwbuhjw. What is prob of sequence whu?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = 16*w - 8*w. Suppose 0 = -2*p + 10 + 72. Calculate the remainder when p is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 969120, 969546, 970256, 971250, 972528?\n\"Answer: 142*q**2 + 968978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/26)\/(((-2464)\/(-44))\/728)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45728.71l to millilitres.\nAnswer: 45728710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (1 - 2)) + (-19 - (-8 - 2 - 10)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 4 = 2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6003 + 2959 = -22*j - 2846 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29925 + -29910. Calculate the lowest common multiple of o and 172.\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**5 - 819*z**4 - 1233*z**3 - z**2 + 411*z = 0.\nAnswer: -1, 0, 1\/2, 411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 56348552?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of i**5\/60 - 5*i**4\/24 - 4*i**3\/3 - 6*i**2. Let t be m(6). What is the common denominator of 2\/t*451\/11 and 39\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*t + 140 = 2*x, -x = 2*t - 22. Let m = -92\/3 + x. Which is the closest to -1? (a) 1\/9 (b) m (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4781.5299 times 0.4?\nAnswer: -1912.61196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 17. Let p = f - -3. Suppose -u - 80 = -p*u. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + (-5 + sqrt(288) + -2 - sqrt(288))*-2)**2*6*-1*-1.\nAnswer: -2178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaazahaaazahaa. Give prob of picking 1 z and 2 a.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.6 - 0.6. Let u = 26459 - 26458.3. Which is the closest to u? (a) 1\/2 (b) v (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2236923 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + 2)*(-6)\/(-4). Suppose x + 225 = i*x. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 157859144*t**2 - 297943*t + 83 wrt t.\nAnswer: 315718288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 536 + -3756\/7. Which is the biggest value? (a) 0.14 (b) 0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**3 - 8*y**2 + 3. Let d(h) = 3*h**3 - 15*h**2 + 7. Give -3*d(b) + 5*m(b).\nAnswer: b**3 + 5*b**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**3*d*d)\/d)**7)**(-44) assuming d is positive.\nAnswer: d**(-1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3921, -4243, -4701, -5295, -6025?\nAnswer: -6891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.451358 plus -2.66?\nAnswer: 21.791358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-684)\/(-190)*(-2)\/((-8)\/(-10)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 311 divide 359498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) - (sqrt(567) - (-2 + 5 + sqrt(567))))**2.\nAnswer: 54*sqrt(7) + 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 - 0.4. Let k = -0.7 - -0.2. Let h = k - o. Which is the second biggest value? (a) h (b) -4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*d = -22*d - 43*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6380786?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 7 = -m, 3*m + 2*m - 16 = -3*i. Suppose 1002 + 43 = m*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 773, 6509, 22177, 52757, 103229, 178573, 283769?\n\"Answer: 830*m**3 - 14*m**2 - 32*m - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-2 - (-39)\/18). Let t be 10\/(-42) - 4\/g. Sort -2, 0, t in decreasing order.\nAnswer: t, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/651055 + 43552324249\/7812660. Let q = -5579 + p. Find the common denominator of -57\/10 and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 21*r. Let s(v) = -13*v**2 - 4. Let l(z) = 2*z**2 + 1. Let i(t) = 4*l(t) + s(t). What is h(i(d))?\nAnswer: -105*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(864) - (sqrt(864) - (sqrt(864) + 3*sqrt(864))))\/(sqrt(22)\/sqrt(396)).\nAnswer: 288*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 3131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/4)\/(0 - 1). Let z be (10 - -3)*(-2)\/2. Let m(f) = -f - 13. Let t be m(z). Which is the nearest to t? (a) 2 (b) 0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (128\/408*17)\/(1 - 19\/(-3))\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*i - 24*i + 175 + 1240 + 49 for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 4 = 20. Suppose u + 4*u + 3*r - 68 = 0, -2*r - 40 = -i*u. Calculate the highest common factor of 60 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*l - 39*l - 865810 = -117*l. Is 214 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*q + 50, 833*i + 2 = -q + 838*i. Suppose 17 = 3*y + 4*w, 4*w - 2*w - 7 = -3*y. Put y, -5, q in increasing order.\nAnswer: -5, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -478 by 4953.\nAnswer: -478\/4953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7\/2*56\/28\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4a - -11a?\nAnswer: a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4))\/(11*(-18)\/1188).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 12 = 2*k, -b + 5*b - 12 = 4*k. Let z be -13*(-3)\/(-33) - k. Let a(g) = g**3 + 7*g**2 + 5*g - 7. Let p be a(-6). Is z at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + 18.07. Let d = 4.07 - h. Let x be (0 - 1)\/((-1)\/(-5)). Sort 2\/15, d, x in descending order.\nAnswer: d, 2\/15, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/r**(-1))*r)\/r)**(7\/4)*(((r\/r**(11\/2)*r)\/r)\/r*r*r)\/(r*r**3))**(9\/5) assuming r is positive.\nAnswer: r**(-333\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -35. Let c(j) = j**3 + 5*j**2 - j - 8. What is the least common multiple of c(-4) and h?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5349675?\nAnswer: 3, 5, 71329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22488 = -2*s - 4*s. Let c = -650 + s. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 - 4*k + 4*k)*(0*k + 0*k + k**3) + 3*k**4 + k**5 - 3*k**4 - 7*k**5 + 6*k**5 + 12*k**5.\nAnswer: 10*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -4, 1, -8, -3 in increasing order.\nAnswer: -22, -8, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 47075 and 94150.\nAnswer: 94150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57 + -94. Let b be ((-25)\/35 - (-4)\/(-14)) + -20. Let y = b - r. Calculate the remainder when y is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 + -0.9647571534?\nAnswer: -0.9847571534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 231 - 230.596. Let r = -0.139 + f. Round r to two decimal places.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y**2 + 12*y + 6. Let b(i) = -2*i + i + 2*i + i**2 - 1. Let n(t) = -2*b(t) + d(t). Calculate the smallest common multiple of 2 and n(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24046 divided by -6\nAnswer: 12023\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**2 - 5*t - 1. Let o(h) = 4*h**2 - 6*h - 2. Let z(w) = 5*i(w) - 4*o(w). Determine z(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.91 + 0.11. Let i = m + -0.2. Let s = -0.11065 - 0.28935. Is s >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/14, 8\/9, -2\/5, 2\/11, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6348498 is divided by 76.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(((-6)\/(-2))\/(-3)). Suppose 0*v - 10 = 2*v + j*c, 0 = -3*c. Sort v, 0, 4 in ascending order.\nAnswer: v, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4968*0.3.\nAnswer: 1490.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 5*k - 11 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 42, -13 in descending order.\nAnswer: 42, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 23*y**2 - 3*y**3 + 19*y**2 - 43*y**2. Give q(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bkuk when four letters picked without replacement from bubkkbkbu?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -13 - 3 - -1) + 0 + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7496 and 314832.\nAnswer: 314832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.9 + 68468148?\nAnswer: 68468166.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*r = 9204 - 9402 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 d when two letters picked without replacement from dssssdxzz?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -53*p - 5. Let k(x) = 53*x + 4. Let v(w) = -7*k(w) - 6*u(w). Let z(y) = 2*y**2 - 19*y - 34. Let o be z(11). Is v(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 623 divided by -5.\nAnswer: -623\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 5 - 1\/3*w**4 - 2\/3*w**3 + 3*w + 0*w**2. Let g(i) be the first derivative of x(i). Find the second derivative of g(o) wrt o.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + s**2. Let t be d(1). Let q be (t - 6)*2\/(-3). Suppose 0 = -2*w + q*w - 106. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + k - 2. Let l be s(2). Let x(u) = 3*u - 8. Let w be x(l). Suppose w*o + 56 = 200. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.325 - 315.375. Let m = i - -318. Sort -3, m, -1\/15.\nAnswer: -3, -1\/15, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 864791*o - 432034*o - 432723*o.\nAnswer: 34*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -25 - (17 + -14 + -6 + -9)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 118039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - o)*(-2*o**4 + 3 - 3) - 11*o**5 + 10*o**4 + 2*o**5 - 12*o**4.\nAnswer: -7*o**5 - 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 - 4*n**2)*(-76 + 371 + 116).\nAnswer: -1644*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z + 9. Suppose -71 = -11*s + 446. Suppose 4*p = -r + s, 0*p + 3*p - 44 = -r. Suppose -r + 10 = -5*o. What is b(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2234 + 61894 = 24*h. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 6:06 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20862*t - 20851*t - 390225. List the prime factors of t.\nAnswer: 3, 5, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -5*z**5 - 10745*z**4 - 6418235*z**3 - 670191015*z**2 + 2764631520*z - 2088011520 = 0.\nAnswer: -1008, -137, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 79 - 86. Suppose -5*c + 13 = i. Calculate the lowest common multiple of (-1)\/c - 126\/(-8) and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -52569715\nAnswer: 7\/52569715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*t + 638 - 1376. Solve 35 = -75*p + t*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 2:41 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 6:15 PM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1612 + 1607. Which is the smallest value? (a) s (b) -11 (c) 0.4 (d) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = n + 3*j - 7, -3*n = j - 54. Suppose 0 = -i + 26 + n. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25764131 divided by 1.\nAnswer: -25764131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1249991442 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19683688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 0*u**2 + 2*u**2 - 43 + 23.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 526200 and 420960?\nAnswer: 2104800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 6\/169 (b) -33 (c) -0.5 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**4 - 65*k**3 + 415*k**2 + 1185*k - 1530 = 0. What is k?\nAnswer: -17, -3, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -5*w**2\/4 + 65045*w\/2 = 0.\nAnswer: 0, 26018","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = c + 990. Suppose q = -h + c, 4*q + 11 = -5. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.016 * 8\nAnswer: 0.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 40501889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*r = 37*r - 15. Suppose -r*h - 487 = -x, 923 = 4*x + 2*h - 1081. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 266\/(-294) - (-6)\/(-63)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of 1\/12*w**4 + w**2 + 0*w + 0 + 1\/6*w**3. Give r(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27753 + 16387. What is g rounded to the nearest 100?\nAnswer: -11400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/29 in -0.6, 2\/3, -2\/3, -11, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/((j\/j**(-5\/2))\/j)*j*j*j*j**(-1\/2))**(-2\/91)\/(j**(-9)*(j*j\/(j\/j**(-9)))\/j)**(-12) assuming j is positive.\nAnswer: j**(-19660\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 580 = -2*k + 608, 0 = 4*b + k - 22. Factor 3\/2*v**b - 39*v - 81\/2.\nAnswer: 3*(v - 27)*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 13060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 148 in 0.3, -11\/3392, -2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t + 7*t + 2*t)*(-81*t + 34*t - 64*t) + 0 + t**2 + 0 - 3*t + t + 3*t - t**2 + (-2 + t + 2)*(4*t + t - 4*t).\nAnswer: -1664*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 5*l + 27, 9 = 3*a + 2*l - 5*l. Let r = a - 1. Let f = 6 - -3. Solve 0*x - 4 = r*x - 2*p, 0 = -3*x + 5*p + f for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-9)*-1*(-3 + 30). Solve 0 = -0*w - 3*w - r for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2806 in 4, -0.4, 396, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/14976 and 71\/18.\nAnswer: 14976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 344 by 4.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4\/3)\/z*z**5)**(-31\/5)\/((z\/(z*(z**(5\/2)*z)\/z)*z**2)\/((z\/((z*z**(-1)*z)\/z))\/(z**(-1\/2)*z))) assuming z is positive.\nAnswer: z**(-233\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*3*(-11)\/(-847)*11?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10391603.\nAnswer: 31, 335213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 22475224.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -29 from -27215051.\nAnswer: -27215022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -725, -1103, -3 in decreasing order.\nAnswer: -3, -725, -1103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1997, -11, 4.\nAnswer: -1997, -11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7697\/7 or -2.8?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -10. Let p be 184\/20 + h\/5. Suppose -4*c + p = 37. Is c greater than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3627, -3604, -3593, -3600, -3631, -3692, -3789, -3928?\n\"Answer: -n**3 + 30*n - 3656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/4 + (-28)\/(-8). Suppose p*y + 46 - 1327 = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.33925 - -361.019.\nAnswer: 365.35825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 358486 and 16131870.\nAnswer: 16131870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 569139.57us in hours?\nAnswer: 0.000158094325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.8*-91016\nAnswer: -72812.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 388942, 777874, 1166806, 1555738, 1944670?\nAnswer: 2333602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103549?\nAnswer: 103549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1105984745?\nAnswer: 5, 29, 67, 113843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2607 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 208435431?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 5*a**4 + 2*a**3 - 5*a**2 + 2*a - 4. Let m(l) = 4*l**4 + 2*l**3 - 4*l**2 + l - 3. Let i(s) = -3*c(s) + 4*m(s). Factor i(w).\nAnswer: w*(w - 1)*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 678937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61668500 divided by -125.\nAnswer: -493348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -10*r. Let x(j) = -7*j. Let l(b) = 2*b + 5. Let k(n) = -7*n - 21. Let f(i) = 5*k(i) + 21*l(i). Let g(p) = 7*f(p) + 6*x(p). Give q(g(d)).\nAnswer: -70*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s + 11*s + 2*s - 31*r = -9*s + 232, 2*s - 3*r - 20 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + p - 43 = 0, -1163*h + 1166*h - 7*p = -313 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 4:29 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 22*d**2 + 23*d - 2. Let v = 128 + -227. Let p = v - -88. Is s(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140602 and 21497.\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -742474585.86 and 3.\nAnswer: -742474582.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3687 by -27.\nAnswer: 1229\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 8, -5*p - 4*r = -30 - 158. Suppose -2*w - 130 = -7*w + 5*s, 0 = -2*w - 2*s + p. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**3 + 2*a**2 - 3. Give i(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*k**2 - 19 + 3 + 5*k**2 - 14*k - 12*k + 6*k.\nAnswer: -8*k**2 - 20*k - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((11 - 2 + 4)*(3 - 5 + 0) + (3 - 3 - 2)*(-2 - 1 + 4))*(-4*c + 2*c + 3*c)*(1 - 5 + 3)*(4*c - c**2 - 4*c).\nAnswer: -28*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 385 - 384. Sort -10, 0.15, m.\nAnswer: -10, 0.15, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-12)\/16)\/((-16)\/(237568\/192))\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -7*p**4\/12 + p + 258. Let b(r) = 3*r - 3*r - 5*r. Give q(b(l)).\nAnswer: -175*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -9*s + 897 - 443 - 447. Suppose -2*v + j + 74 = 2*v, -4*j = 5*v - 103. Suppose 3*d - v = 2. Let u(k) = -8*k + 6. Give d*u(i) - 6*f(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 + -4300306?\nAnswer: -4300318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 - 71. Let y = -7 - b. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 674589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3350, -7100, -10850, -14600?\nAnswer: -18350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36274096 to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44.426, 1\/5, 0.06, 2 in increasing order.\nAnswer: 0.06, 1\/5, 2, 44.426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220021 (base 3) to base 7.\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 730777.\nAnswer: 730777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51)\/153*-45 - 140\/9.\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 9:43 AM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + m**2 - 1. Let o(x) = 136*x**3 + 170*x**2 - 170. Suppose 60*a - 11*a + 27*a = -76. Calculate a*o(k) + 170*z(k).\nAnswer: 34*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/20*(175\/45 + -3). What is the closest to 3\/5 in t, -4, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 7*c - 10. Let r(l) = -20*l + 29. Give -17*g(d) - 6*r(d).\nAnswer: d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 5:05 PM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0029897 to 5 dps.\nAnswer: -0.00299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millisecond in microseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 4, 2\/109?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -1200*a + 57622. What is n(48)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 141510 - 76510. What is w rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 117.7886 from -5.\nAnswer: -122.7886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 + -25. Suppose -d - 4*n = -3, d - 5*n = -2*d - u. Let p be -3*d\/(225\/(-6)). What is the nearest to p in -3\/5, -4\/7, -2\/11?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - w + 68. Let j be x(0). Suppose 4*v - 3*o - j = o, -4*o = -5*v + 86. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11.2544 - -0.1356. Let i = 11.389998766 - m. What is i rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6443851 a multiple of 300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c - 46. Let n be j(-22). Let y(k) = -40*k. What is the tens digit of y(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12720 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16.4 - 16. Let r be 28\/(-12) - 1\/(-3). Let y be (-6)\/(-3) + 5\/r. What is the third smallest value in s, 1\/4, y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177572 is divided by 6339?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**2 + 0*h**2 + h**2 + (-2*h - 4 + 4)*(20*h + 8 - 8)*(-1 + 3 - 1) to o + y*h**2 + x*h and give y.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -25*o**2 + 2518*o - 244. Determine h(101).\nAnswer: -951","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-332)\/(-68) + -6 + (9 - 8)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 1)*7867*1. Suppose 0 = -33*o + 14*o - 30*o + 196. Suppose o*b = -5*l + h, l - 415 = -3*b + 1165. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-40)\/24*(-18)\/10. Suppose 4*m - 4 = 4*d + 12, -2*m = -w*d - 11. Which is the smallest value? (a) 3 (b) m (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 39*w + 7902. What is c(-206)?\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 5*a - 107. Let u be l(22). Suppose -3*v = -0*v - 12. Suppose 3 = 3*r + x + 2*x, 4*r - v*x = -4. Solve r*d - u*q + 11 = -d, q + 1 = -2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78247.39 centuries in years?\nAnswer: 7824739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*q - 1 + q - 307*q**4 + 0*q - 13*q wrt q.\nAnswer: -3684*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 23 = -a, a - 35 = -74*q + 69*q. Solve 0 = -a*l + g + 25, 5*l + 3*g - 35 + 10 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 44 + 2 - (-12)\/(-2). Solve -10 = -g*c + 33*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -4, -10 in decreasing order.\nAnswer: -1, -3, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**5\/12 - 2*i**2. Let g(n) be the second derivative of 0*n**2 + 0 - 4*n + 1\/6*n**4 + 0*n**3. Give g(y(a)).\nAnswer: 50*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15\/7 + -38\/21. Let d = -5 + 4. Let k = -1.5 - d. What is the third biggest value in f, -3, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1877283?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2499 - -5114. Is d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aww when three letters picked without replacement from awaawaaaawawawaaaa?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -193 + 93. Let f = -31 - m. Round f to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7322?\nAnswer: 2, 7, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lwywlyly. Give prob of sequence ywl.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = f - 12, f + f - 48 = -5*j. Is 4\/j*-1*-422 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 59?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-four fifths of a centimeter?\nAnswer: 68000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 6, -1\/15, 12, -2, 0.16?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 6*v**2 - v - 7. Let s(i) = -8*i**2 - 42*i - 3. Let j be s(-5). Calculate u(j).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -7*g**3 + 19*g**2 - 91*g + 59. Is r(-48) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12269 is divided by 813.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-14)*(-5)\/((-5)\/(-2))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 56974.\nAnswer: 455792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-18))\/c)\/(c\/c**(-44)) assuming c is positive.\nAnswer: c**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-2)*(-6)\/(50\/25)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 24130*b + 2. Let o(s) = 32*s. Determine o(l(t)).\nAnswer: 772160*t + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = -38 - 25. Let x(n) = n**2 + 20*n - 3. Let u be x(r). Let c = u + 108. Solve -l - 4 = 0, -c*z + 4*l = -3*z - 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (21\/(-6) - -3)*-18. Let r be (8\/18)\/(6\/q). Let d = -0.173 - -0.283. Is r at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 1*646*13. What is y rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0644539ml to litres.\nAnswer: 0.0000644539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-416)*-22 + (-34)\/(-221)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 + -19?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 516 = -154. Suppose y = -2*d + 437. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 6:27 PM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/9 + 3 + 10\/(-45). Suppose 3*n = -3*v + 477, v - u*v + 16 = 0. List the prime factors of n.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.01325 + -384.92675. Round c to the nearest 10.\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1071 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2976 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -435*b - 4622. Determine y(-8).\nAnswer: -1142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t + 3. Let u be l(-5). Let g be (4 + -6)\/(u\/5). What are the prime factors of (g - -11)*(-2)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 3 - (97 + -180 - -62)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1315748611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*h**3 - 104*h + 272*h - 110*h - 108*h + 50*h.\nAnswer: -24*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2966647885 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - -15. What is the biggest value in a, -1\/3, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 8*d**2 + 6*d - 4. Let b be p(-7). Calculate the highest common factor of 27 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22*-4*3\/(-8))\/((3105\/46)\/(-45))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312*q = -318*q - 30, 5*c + 5*q = 75145. What is the ten thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16506 and 30?\nAnswer: 82530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2017 and 496.\nAnswer: 1000432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 1944*f - 15484. Let o be z(-8). Find p such that -1\/6*p**o - 2\/3 + 5\/6*p**2 - 1\/2*p**3 + 1\/2*p = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.16 + 0.2. Let u = 4.04 - g. Which is the third biggest value? (a) 0.3 (b) 0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7682715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -n**3*r + 5985277*n - 25591623*r wrt n.\nAnswer: -3*n**2*r + 5985277","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a millennium in centuries?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -12 (b) 2.4 (c) -32 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -212, 7, -3 in decreasing order.\nAnswer: 7, -3, -212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 649155 is divided by 5587?\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38686?\nAnswer: 2, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1885*b**3 + 62*b**2 - 159*b**2 + b - 1882*b**3 + 4 to y + x*b**3 + m*b + v*b**2 and give v.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o + 9*o + 36 = 0. Is 6 a factor of (-914)\/(-8) + (o - (-75)\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l**1\/l)\/l))\/(l*l**(-2\/9)))**20 assuming l is positive.\nAnswer: l**(220\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6947 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(4 - 1) - -10. Suppose l*h - 8*h - 28 = 0. Let a = 23 - h. What is the highest common divisor of 99 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**2 + 6*a**2 + 3*a**2 + 0*a**2.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-5)*x**(2\/9)*x\/(x*x*x**(-3))*x*x*x**(-2\/3) assuming x is positive.\nAnswer: x**(-13\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 5*l + 38. Let i be q(-6). Let s = i - -37. Let f be (3\/(-4))\/(s\/(-20)). Is f != 1\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 2*j**3\/3 - 5. Suppose 2*y = -5 + 21. Let t(g) = 0*g - y*g + 0*g. Give t(a(u)).\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119280.\nAnswer: 2, 3, 5, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 167693 = -4*c + 258069, -567716 = -4*p + 3*c. Let f = 1926 - p. What is f rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4888 is divided by 835.\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22405 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -f**6\/30 - 9*f**4\/4 - 4463*f**3\/3 + 2489*f**2 + f. Find the first derivative of h(y) wrt y.\nAnswer: -12*y**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from huxjuyxjyyjyyy. Give prob of picking 1 j and 1 y.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.959 * 0.4.\nAnswer: 0.3836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.3, -136, 1\/8, 123 in descending order.\nAnswer: 123, 1.3, 1\/8, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 63*u + 67*u - 104786 = 0, -5*h = 5*u - 87320. What is the greatest common factor of h and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i + 0 + 0*i**2 - 3\/5*i**4 + 3\/5*i**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xnxxxxxxnxxnxn. Give prob of picking 2 n.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 934 is divided by 456?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 73, 154, 237, 322?\n\"Answer: j**2 + 78*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 330694 and 36478?\nAnswer: 20172334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36)\/(-10) + (-4)\/(-10). Let f(l) = l + 12 - q - 5 + 12. What is the units digit of f(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -426*n**4 - 2*n**3 + n + 157*n**4 + 144*n**4 - 47 + 148*n**4 as l*n**3 + p*n**2 + j + t*n + c*n**4 and give j.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**2 - 78*j + 152 = 0.\nAnswer: 2, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1046552?\nAnswer: 2, 13, 29, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12535823 to the nearest integer?\nAnswer: 3541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1016 - -4063\/4. Sort -1, y, -0.141, 0 in decreasing order.\nAnswer: 0, -0.141, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 737 and -1\/6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.027349 to four dps.\nAnswer: 0.0273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s - 66. Let c be b(-24). Let o(a) = 10*a + 71. Let q be o(c). Which is smaller: q or -106?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1228037448 and 100291?\nAnswer: 1228137739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, o: 1, m: 9, w: 2}. Give prob of picking 2 j.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 4*f**3\/3 + 1097. Let a(d) be the first derivative of d**3\/3 + 2. Give q(a(h)).\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 37682*a = -37683*a + 8, 2*o - 2*a + 4 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3582300 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of ((-111)\/(-5))\/((-42)\/(-70))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79481325 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -100*u**3 + u**2 - 9*u - 10. Let g be n(10). Let h be (-11*7)\/(1\/g). What is h rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 39*o**2 + 24*o + 5. Let m(r) = 32*r**2 + 24*r + 4. What is 5*f(p) - 6*m(p)?\nAnswer: 3*p**2 - 24*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 13*y**2 + y + 15. Let l = -13 + 0. Let o be v(l). Find the third derivative of g**4 + g**o - 1 + 4*g**4 + 1 wrt g.\nAnswer: 120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140970.\nAnswer: 2, 3, 5, 37, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + -7 - 7) + 19 + 0 + 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1605?\nAnswer: 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -53*u**3\/2 + u**2\/2 + 23*u. Let q be n(1). Let x = q + 278. List the prime factors of x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/7))**28)**(1\/27)*(k**0)**(-14)\/(k**(-1\/4))**(-29\/5) assuming k is positive.\nAnswer: k**(-623\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*m = -5159, -m + 13 = 14. Calculate the remainder when t is divided by 129.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -9. Suppose k*n + 57 = 3*h + 5*n, 0 = -5*h - 4*n + 88. Is 10 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*2\/2*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.13126 to one dp.\nAnswer: -25.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 67, 125, 179, 229, 275, 317?\n\"Answer: -2*f**2 + 64*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, w: 1, y: 1, z: 4, l: 1, d: 5}. Give prob of picking 2 z.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 521957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 4771\/153 and 31 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 324744.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i + 10. Give v(13).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -13. Let z = t + 5. Which is smaller: -1\/4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qqqqzzzqzqzzzq.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - v = -318, p - 4*v = -2*v + 330. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58 and 7018.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 v when three letters picked without replacement from vvxvbbyxxbbxvxxxxyb.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2169*v**3\/4 - 19519*v**2\/4 + 21681*v\/2 + 10 = 0. What is v?\nAnswer: -2\/2169, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (5\/30)\/(101\/(-9696))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 - 30. Let p be (-54)\/f + (-22)\/55. What is the units digit of 39 - p\/10*0?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**3 - 47*g**2 - 35*g + 18. Is 21 a factor of c(-23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25363, 50000, 74637, 99274?\nAnswer: 123911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from {a: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 370001 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 5*k + 9 = -2, -8*k + 20 = -5*n + 95 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - 4*k = -5, 0 = -4*l + 8*k - 9*k + 8. Put l, 844, -1 in decreasing order.\nAnswer: 844, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18810)\/(-2565)*6\/1?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 2*d - 3. Let v = -28 - -36. Suppose 0 = -u - v*u + 18. Calculate z(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3323 or -1519?\nAnswer: -1519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003517242834 rounded to six decimal places?\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.2, 0.3, 1\/7, -1, -176, 4 in ascending order.\nAnswer: -176, -2.2, -1, 1\/7, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 260*q - 4413. Calculate v(19).\nAnswer: 527","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27950037 to the power of 1\/2, to the nearest integer?\nAnswer: 5287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 15*y**2 + 23*y + 15. What is the remainder when b(-6) is divided by 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g**3 + 3*g**3 + 3*g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15316 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11472699317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*sqrt(99)*-2 + -3*(sqrt(99) + (sqrt(99) - -1*sqrt(99) - sqrt(99))))*-5)\/(6*(sqrt(99)\/(sqrt(11)*-1 - sqrt(11)) + sqrt(36)*5)))**2.\nAnswer: 1100\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -19037, -19047, -19067, -19103, -19161, -19247?\n\"Answer: -r**3 + r**2 - 6*r - 19031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 30*q**2 + q - 2. Let i be z(2). Let f be i\/55 + (-6)\/33. Suppose 2*p + 8 = 0, 6 = 3*r + p - f. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -a**5\/20 - a**4\/4 - a**3\/3 - a**2 - 3*a. List the prime factors of o(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttx when three letters picked without replacement from {i: 4, w: 8, x: 1, t: 2}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 88 = 4*s, -4*z = 3*s - 30 - 28 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -4*a**3\/3 - 81*a. Let z(r) = -r**2 - 11*r - 17. Let n be z(-8). Let q(v) = -n*v**2 - v**2 + 0*v**2. Calculate q(p(x)).\nAnswer: -512*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 991 a factor of 9038911?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.1, 0, -2\/7127, -1.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 28 = -8*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 32 - (2 + (-4)\/4). Let k = 26 - l. Does 13 divide (8 - -2)\/((-1)\/k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q - 6. Let g(b) = -7*b + 12. Suppose -3*p + 8*p - 9 = -m, 5*m = -2*p + 22. Let c(s) = m*g(s) + 9*v(s). Determine c(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4*u + 13. Calculate m(-6).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v - 4 + 4)*(-3 + 3 + v**2) + (2 + 0 - 4)*(3 + 0 - 4)*(3*v**3 + 0*v**3 + v**3) to the form n*v**2 + f*v + l + p*v**3 and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 15*k**2 - 2*k + 7. Determine j(-14).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*l. Suppose -n + 2*n = l. Suppose -118 = -a + 3*v, 0*a - 4*a + v + 461 = n. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 171291 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 10. Let s = 6 - d. Let c = -0.04 - -0.44. What is the second smallest value in s, c, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/15*(-9)\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.62, 3, -4, -6, -0.6?\nAnswer: -0.62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 133*q - 133*q + 46*q**5 - 62*q**2 - 475*q**2 + 3*q**4 - 1 wrt q.\nAnswer: 2760*q**2 + 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 - -28. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1467*(-2)\/8*(-56)\/21. Let b = f + -571. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 divided by -11.\nAnswer: -45\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 864 = -4*n - 4*g, 2*n + g - 435 = 0. List the prime factors of n.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/10)\/(v\/v**(2\/5)*v*v))**(20\/3)*(v**0)**(-3\/5)\/(v\/((v\/((((v\/v**(1\/2))\/v*v)\/v*v)\/v))\/v)*v**0) assuming v is positive.\nAnswer: v**(-103\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -113033, -225963, -338883, -451787, -564669?\nAnswer: -677523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 19) + 1 + 3 + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 2*h - m - 3*m, h + 3*m = -1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4942 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0276700578 to five decimal places.\nAnswer: 0.02767","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22.7 - 25. Let f = z - -2. Which is the nearest to 1? (a) 3 (b) f (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -81*f + 7. Let y(q) = -58*q + 5. Let i(x) = -5*l(x) + 7*y(x). Let v(k) = 5*k - 2. What is i(v(w))?\nAnswer: -5*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.177 and -67130.\nAnswer: 11882.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 7*o + 8. Suppose 0 = y + o*y + 4*t - 2, 2*t = 3*y - 8. Let p(i) = -3 - 1 + y - i. Give p(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4, -9*i + 85 = -4*i + 5*r. Suppose 4*v = -0*v + 32. Let y be (i\/238)\/((-6)\/v). What is the nearest to -2\/5 in -1\/3, -5, y?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/22 and -163\/210.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (236\/(-6))\/((-20)\/30). Let a be (o\/(-2) - 1)\/((-190)\/76). Which is bigger: a or 12?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -103 + 221. Let f(i) = -118 + n + i. Let k(v) be the third derivative of -7*v**5\/15 + 5*v**2. What is k(f(p))?\nAnswer: -28*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g*p**2*z - 15*g*p**2 - 5*g*p + g*z**2 - p**2*z**2 + z**2 wrt p.\nAnswer: -2*g*z - 30*g - 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80591 is divided by 1835.\nAnswer: 1686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208*q = 65*q - 142 - 287. What is the third biggest value in q, -22\/7, -4, -10?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 360 = -33*a for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 3 + 10 + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357330977.\nAnswer: 357330977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*r + 15. Suppose -2*v + 3 = 5*t - 18, -r*t = v - 18. Solve -t*o - 2 = 4*m + 8, 0 = 5*o - m - 14 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + 3 - 2)*(d - d - 2*d**4) + (d - 2*d + 0*d)*(-d**3 + 2*d**3 + 0*d**3))*(0 - 6 + 0) as v*d**2 + g*d**3 + z*d**4 + a*d + p and give z.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 4*l + 36 - 4, -3*w + 16 = 5*l. Suppose 0 = w*r - 3*r + 16. Let i = 0.534 - 0.034. Which is the closest to 3\/2? (a) r (b) i (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/18 >= -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, e: 4, j: 2, l: 3, v: 2}. Give prob of sequence vll.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 o when four letters picked without replacement from {p: 3, o: 2, f: 1, k: 6, a: 7}.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(-2*b - 4*b + 2*b)*(382*b**4 + 30*b**4 + 11*b**4) - 2*b**5 + 3*b - b**3 - 3*b.\nAnswer: -1694*b**5 - b**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -1071*a**2 - 4. Let d(k) = 3728151*k**2 + 13923. Give -13923*b(h) - 4*d(h).\nAnswer: -1071*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3*(-3 + -4*(sqrt(832)*-1 + 4)*6)*5)**2.\nAnswer: -8553600*sqrt(13) + 110032422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3612 = 12*t + 1068. What is the least common multiple of t and 2?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.32 + 0.3. Let r = k - 0.38. What is the nearest to 2\/3 in 5, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1364596549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjbbjbbbbjbjbb. Give prob of picking 3 b.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/15)\/i**(-5))**(-19) assuming i is positive.\nAnswer: i**(-1463\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by ((-3)\/9)\/(2\/(-162)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p - 3*p - p)*(-65*p**3 + 30*p**3 + 23*p**3).\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7212256.\nAnswer: 2, 225383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z - 7*z + 5*z + 0*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5108, -10450, -15790, -21128, -26464?\n\"Answer: l**2 - 5345*l + 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2 - 11*p + 46. Give n(12).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -40851*p - 776175. Calculate s(-19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22 + 221555114?\nAnswer: 221555062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*h**2 - 12*h + 70 - 10*h**2 - 8*h - 72 + 3*h - 12*h**3 to w + p*h**3 + m*h**2 + y*h and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -5, -3, -8 in descending order.\nAnswer: 5, -1, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 250.53195 milliseconds in minutes?\nAnswer: 0.0041755325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 6 = 2. Suppose -z + 7 = k*m, 0*m - m + 14 = 4*z. Suppose 0 = z*f - 6*f + 5*n + 287, n - 375 = -4*f. What are the prime factors of f?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 23 = -39. What are the prime factors of (780\/(-48) + 12)\/(g\/328)?\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3605186 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28985 + 29533. What is the highest common factor of q and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -9. Let v be (-6)\/(-4)*c\/3. Suppose -v*f + 2*g + 2*g = 16, g = -4*f + 4. Solve -2*q - 5*p + 15 = 0, f = -q - 0*q - 3*p + 8 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4*q**2 + 0*q**3 - 5*q**2 - q - 5*q**3 + 6*q**3. Let y(s) = -9*s**4 + 4*s**3 - 4*s**2 - 4*s - 15. Let f(d) = -4*a(d) + y(d). Differentiate f(i) wrt i.\nAnswer: -36*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + -2.1. Let i be 3 + (-2*1 - -1). Let l = -3\/115 - -127\/460. Which is the nearest to l? (a) i (b) 0 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/8 + (-114)\/8. Let p = g + 30. Calculate the highest common factor of p and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1))**(-37)*(q\/(q**1\/q))**(2\/9) assuming q is positive.\nAnswer: q**(335\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101, 217, 331, 443, 553, 661, 767?\nAnswer: 871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2050234 to the power of 1\/3, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64*o**2 - 57*o**2 - 276*o**2 + (13*o + 4*o + 2*o)*(0*o - 4*o + 3*o) to t + m*o + a*o**2 and give a.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16978 - 16096. What is the highest common factor of t and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -b**9\/7560 + b**8\/560 - b**7\/105 + b**6\/45 + b**4\/4 - 3*b**2. Let r(p) be the second derivative of h(p). Factor r(d).\nAnswer: -2*d*(d - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from xnnxnxnkxxnxxnnxkx?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**2. Let x(r) = 7*r + 16*r + 21*r. Calculate x(u(h)).\nAnswer: 88*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 5*u = 9*z, -z + 2*u - 2 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -4. Put -3, 0, r in increasing order.\nAnswer: -3, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -h**6\/105 + h**4\/42 + 10*h. Factor p(m).\nAnswer: -2*m**2*(m - 1)*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 442892370 to the nearest integer?\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2*l + 10 = -5*u, l - 2*u = 3. Suppose -l*n = -2*q + 5, 5*q - 24 = -2*n + 3. Which is smaller: 4\/3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2*w - 45 = w, 2*w + 66 = 5*i. Suppose o = 2*o - 4*y - i, 4*o = 5*y + 26. Solve o = -5*h + 2*k + k, 0 = -2*h + k - 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 p when four letters picked without replacement from ppppbppppbpp.\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8668 = 3*h + h - 4*v, -10815 = -5*h + v. List the prime factors of h.\nAnswer: 2, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*l - 3*h, 3*h - 15 + 0 = -3*l. What is the second derivative of l*c**2 - 10*c + 4*c**2 - 20*c + 0*c wrt c?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 5*i + 11 + 2, 3*b - 12 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**2\/5 + 16328*i\/5 - 15861398\/5 = 0. Calculate i.\nAnswer: 1127, 7037","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 148*r**3 - 47*r + 201*r**3 - 309*r**3 to the form u*r**2 + a + f*r**3 + l*r and give f.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t + 3. Suppose -d + 4*u + 10 = 0, 5*u = -3*d - 3 - 1. Let z(x) = -3 + 0*x + d - x. Let q = 514 - 521. Give q*z(b) - 2*r(b).\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yii when three letters picked without replacement from {y: 10, i: 10}?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 83*p**2 - 10*p - 8. Is 73 a factor of x(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1910039757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(-12) + 112\/(-64). Let d(r) = -r**2 - r + 1. Let q(c) = -4*c**3 + 4*c**2 + 5*c - 7. Give v*q(z) - 4*d(z).\nAnswer: 4*z**3 - z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -6. Let b = 5 - 6. What is the third smallest value in 4, o, b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76315?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6313679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -2\/45*u**3 + 2\/15*u**2 + 2\/5*u - 46. Determine a so that f(a) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1021664587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -y**5\/30 - y**4\/6 + y**3\/2 + 2602*y**2. Let w(o) = -3*o**2 - 5*o + 3. Calculate 5*k(s) - 4*w(s).\nAnswer: 2*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 446802800 rounded to the nearest one million?\nAnswer: 447000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15\/(-25))\/(2\/(-10)). Is i - ((-4)\/(-12) + 110\/(-15)) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 2*p = -5*n - 6, 0 = -4*p - 12. Sort -5, -3, -2, n.\nAnswer: -5, -3, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, u: 2, s: 1, e: 3, t: 1}. What is prob of sequence ueuj?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 12. Suppose b = 0, d*b + 531 = 3*u + 3*b. Let s = u - 121. Is s a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1895779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4251995227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 - -40. Suppose -4 - 6 = 5*h. Calculate the lowest common multiple of a and 350\/126 + h\/(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 s, and 1 l when three letters picked without replacement from {x: 1, s: 1, l: 2, e: 2, r: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 + 0.8. Let i = y + -0.9. Which is the nearest to 0? (a) i (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -418, -812, -1198, -1576, -1946, -2308, -2662?\n\"Answer: 4*c**2 - 406*c - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2584119614 to the power of 1\/2, to the nearest integer?\nAnswer: 50834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 9163 = 82.14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 6*v - 21. What is p(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11222012002021 - 222?\nAnswer: -11222012010020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 7*t**3 - t**2 + 2*t + 3. Let b be x(-1). Let q = -16 + 9. Let n = q - b. Is 2\/7 less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (23\/4347*-21)\/(145\/30)\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0415318041 - -8.1083.\nAnswer: 8.0667681959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 28322 + -30138?\nAnswer: -1816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -90.53270136 + 2773.\nAnswer: 2682.46729864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -4*t + 60, -5*t = -71*a + 67*a - 39 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(525)*1*5)\/((sqrt(84)\/sqrt(4) + sqrt(21))\/sqrt(3) + sqrt(21)\/(sqrt(6)\/sqrt(2)) + sqrt(7)).\nAnswer: -75*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35150889?\nAnswer: 3, 2207, 5309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/13)\/(o\/(o*o**(-6))))\/(o\/(o*o\/o**(-1))*o**(2\/3)\/o)*(o**(-6)\/(o\/(o\/(o\/(o*o**(-1\/3)\/o*o*o)))))**(-2\/119) assuming o is positive.\nAnswer: o**(-15887\/4641)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b. Let f(x) = -x. Let g be (-16)\/2 + (30 - 21). Calculate g*u(r) - 4*f(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k + 1. Let m(p) = -9*p + 12. Let c(o) = -h(o) + m(o). Differentiate c(f) with respect to f.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-14)*5 + -3. Let b = 15.1 + -15.3. Put -1\/3, b, m, -2\/9 in ascending order.\nAnswer: -1\/3, -2\/9, b, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -2, -16\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 + -21. Suppose 3*b - 218 = g*d, -b - 5*d - 37 = -97. What are the prime factors of b?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 10*h + 9. Let y be x(3). Let w(m) = -84*m**2 + y*m**2 + 37*m**2. Let j(d) = -d - 2. Let t(k) = -2*k - 5. Let g(s) = 5*j(s) - 2*t(s). Give w(g(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-5)*4\/12?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1451\/2 - 765. Let y be 1316\/60 + 1 + 1. Let g = -67\/3 + y. Find the common denominator of f and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42 + -38. Suppose -r + 0 = -z. Solve 0 = -5*g - 0*g + 5, -4*g = -z*p - 12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -7. Suppose 0 = -2*i + 3 + 19. Let h = i - l. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4755768 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33.67 - 0.67. Let k = q - 34. Which is the third biggest value? (a) 0.2 (b) k (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 5*x + 2 = 0, 22*o + x = 21*o - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*l + 1688 + 265. Let h = 352 + l. List the prime factors of h.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(117) + 4*sqrt(117))*-1)\/((2*sqrt(81) + sqrt(81))*6))**2.\nAnswer: 325\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.293 + 2.293. Let q = 2 + -2.2. Let s = 0.4 + q. What is the fourth biggest value in 2\/11, s, 3\/8, y?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 534 = -1041. Let h = -96 + l. Is h a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 76\/11879?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = a - 639, 5*a - 3376 = -4*t - 223. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 6 = 4*y, -3*y + 41 = 4*n. Suppose 5*z - 4 = -n, 2*z - 5 = -3*f. Suppose -2*j - 4*i + 20 = 0, 2*i = -f*j - 0*i + 30. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 11:06 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9741793 and 0.04?\nAnswer: -389671.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -31*l**2. Let t(p) = -3*p - 11. Let v be t(-5). Suppose 5 + v = 3*s. Let o(j) = s - 6 + 3 - 2*j. Calculate o(n(q)).\nAnswer: 62*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*k - 632 = 588 + 76 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -86 + 84.04. Let w = n + -0.04. What is the closest to -0.2 in 2\/5, w, 8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -110 - -109. Let v be t + -8*(-5)\/10. Let g(s) = 3*s - 1. What is g(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 0)\/(1 - (-2 - -2)). Let k be -16 + 20 - (26703 - a). What is k rounded to the nearest one thousand?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 385999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -5*v. Let r(t) = -7224554*t**2. Calculate s(r(w)).\nAnswer: 36122770*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**2 + 0*n + 0*n + (0 - 2*n + 0)*(0 + n + 0) - 2*n**2 + 0*n**2 + n**2 - n + n**2 + n)*(n**2 - n**2 + 2*n**3).\nAnswer: -10*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*u = 113*u. Let s(c) = -c**2 + c - 1. Let a(y) = 3*y**2 - 3*y - 33. Let k(p) = -a(p) - 4*s(p). Is k(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 1209687?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -317 - -330. Let f be (42\/(-4))\/(-7) - x\/26. Solve f + 3 = -a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29*32 + (25 - 33) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6597.\nAnswer: 3, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x. Let f(c) = 12*c. Let y(d) = -2*f(d) + 18*p(d). Let k(q) = q**2 - q. Let i(z) = -5*z**2 + 4*z. Let r(s) = i(s) + 4*k(s). Give y(r(g)).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {h: 17, f: 1}?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 414903135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1804 and 492?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 57*w - 677. What is j(11)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z - 10. Let n(u) = -2*u - 7. Suppose 5*w = -4*l, -3*l + 6*l = 2*w - 23. What is l*o(v) + 7*n(v)?\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**2 - d + 4. Let h(j) = 4*j**2 - 2*j + 5. Calculate -2*h(g) + 3*s(g).\nAnswer: g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4163980565?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 54, -3 in descending order.\nAnswer: 54, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 27 = g. Let k = -18 + g. Solve p + 2*d = -k, p + 28 = -2*p - 4*d for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*m = -56*m - 3*z + 29, 2*z - 56 = 5*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 104\/10 - 21\/(-35). Let s = 21 - a. Suppose -5*b - 2*u + 5 = -13, -s = -2*b + 2*u. Calculate the least common multiple of b and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m + m + 5*m)*(7*m**4 + 12*m**4 - 6*m**4).\nAnswer: 13*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*m + 20. Let h = -6 - -5. List the prime factors of (-430)\/m + h\/(-3).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of i**6\/120 - 7*i**5\/60 - 7*i**4\/24 - i**3 + 3*i**2. Let j be q(8). Solve j*o = o - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11144 + -11143. Is u != 71\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80940 is divided by 26948.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 20773767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -20151 (base 6) to base 3\nAnswer: -10122111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 11*s + 25. Factor -6*o**2 + 3*o**2 - 50*o + 125 + s*o**2 + 4*o**2.\nAnswer: 5*(o - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g + 16, 15*v - 19*v + g + 8 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6734216?\nAnswer: 2, 23, 36599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/18 in -0.2, -3, 27?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u = -25*u + 13520. What is u rounded to the nearest 100?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*1\/(-6) - 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4131 + -4127. Solve r*o = 20, 4*o - 3*o - 2 = -3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 j, and 1 d when four letters picked without replacement from {k: 7, w: 2, d: 3, j: 4, s: 3}.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = c + 14. Suppose 10 = 3*o + 2*s, -2*o - 4*s + 16 = 2*o. Let u(b) = b**o + 4*b - 7 + 1 + c. What is u(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47878 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*z + 2*z - 9*z)*(-z - z + 0*z + (5 - 3 - 3)*(260 - 260 + 23*z)) in the form i + q*z**2 + p*z and give q.\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -62852943.\nAnswer: 125705886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/7, -4, -18?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -10035 greater than or equal to -10051?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 - 6*c - 19*c - 30 - 25 + 27*c as o*c + z and give z.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2))**23*j**(-3\/5)*j**(-1\/3)*j)**(-2\/7) assuming j is positive.\nAnswer: j**(1378\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/6, 3, 70?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53 - 267\/5. Put 5, -2, s in descending order.\nAnswer: 5, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 36*d = -7*d. Let f be (-1 + 8 - 0)\/1. What is the tens digit of (d + 11)*49\/f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*3\/(-72))\/((-1)\/(-3))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(2\/11)\/x*x*x**(-28)*((x\/((x*x**(9\/5)*x)\/x))\/x*x)**(-1\/2) assuming x is positive.\nAnswer: x**(-2851\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28967*y**2 + 141*y**3 + 28966*y**2 - 57933*y**2 - 72*y**3 - 74*y**3.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**3\/2 - 66349155*w**2\/2 + 132698319*w\/2 - 66349161\/2 = 0. Calculate w.\nAnswer: -22116387, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81 - -28. Let l = y + 61. Solve g = 3*w - l, -5*g - 18 - 2 = -5*w for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.07, 0.8, 19 in descending order.\nAnswer: 19, 0.8, 0.1, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7918 and 481592.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1099063 - -738969. Let v be k\/(-280) + 1\/2. Let r = v - 1285. Find the common denominator of r and 91\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 124 = -34. Calculate the remainder when l is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13653, -13655, -13657, -13659, -13661, -13663?\n\"Answer: -2*m - 13651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 11*d + 2. Let l be t(-11). Let k(u) = 4*u**l - 8*u + u**3 - 3*u - 12*u**2 + 13. Calculate k(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*i = -181, 0 = -2*x - 4*i + 93 + 289. Let z = 340 - x. List the prime factors of z.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 4*g + 1. Let r be o(-2). Let u be r\/(2 + (1 - 2)). Solve 0 = -4*n - u*f - 6, 4*n - 7 - 3 = 3*f for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-12\/13)*y*y\/(y*(y\/(y*y*y**(-18\/5)*y*y))\/y*y))\/((y*y\/(y\/y**(-31)*y))\/(y**28\/y)) assuming y is positive.\nAnswer: y**(3736\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 11. Let d = h + -1. Let n be 4\/(-6) + (-11)\/(-3). Which is the biggest value? (a) -0.3 (b) n (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c + 5*c**3 - 3*c + (4 - 4 - 2*c)*(-11 + 11 - 2*c**2) + 2*c**3 - 8*c**3 + c**3 to the form f*c**2 + x + d*c + b*c**3 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 - 12. Calculate the smallest common multiple of (-1 + 0)\/((-1)\/u) and (-4)\/6 + 1 + 51\/9.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -95, 2, 1615, -2 in descending order.\nAnswer: 1615, 2, 1, -2, -4, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7595)\/21700*(-144)\/154)\/((-3)\/(-20)).\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1859*k**3 + 105 - 482 - 1121*k**3 + 2879*k**3 wrt k?\nAnswer: 10851*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 7*y - 4. Let s(n) = -18*n**2 + 3*n. Determine s(x(g)).\nAnswer: -882*g**2 + 1029*g - 300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 482257903.\nAnswer: 482257903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -176?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -27*g**3 + g**2 + 3*g + 1. Let r be l(-1). Let y = r - 18. What is the highest common divisor of y and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -238, -259, -300, -361, -442, -543?\n\"Answer: -10*k**2 + 9*k - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - y + 400, -8*o + 5*y = -10*o + 160. Suppose -3*h - 36 = -2*u, 0 = u - 3*h - 2*h - 32. What is the remainder when o is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 382 and 347047?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2683578239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -48129197 != -48129197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2028 + -2028.1. Let f = 3.5 + -4. Which is the second smallest value? (a) x (b) 1\/3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 4:51 AM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4*s**3 - 1 + (-4 + 4 + s)*(673*s - 673*s - 93*s**2))*(s - s + s**2).\nAnswer: -89*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 12*r + 13. Let h be (-2)\/(3\/6 + 0). Let b(x) = -6*x - 6. Let t(a) = h*v(a) - 9*b(a). What is t(-3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25425.\nAnswer: 3, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100, -652, -1416, -2198, -3004, -3840, -4712, -5626?\nAnswer: -6588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 1 + 1)*((-4 + 2 + 4)*(-2*t + 4*t - 4*t) + t - 3*t - 5*t + (-2*t - 2*t + 3*t)*(42 - 30 + 37) + t - 2 + 2 + (4 - 4 + 7)*(-t - t + t) - 2 + 2 + t).\nAnswer: -65*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 39487 to the power of 1\/2, to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -x + 10, 5*x - 30 = 2*m + 34. Suppose -885 = -x*q + 735. Is q a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 2*r + r)*(4*r + r**3 - 4*r) - 629 - 94*r**4 + 629 + 2*r**4 + r**2 + 2*r**4 - 2*r**4.\nAnswer: -89*r**4 + r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*t - 963 = -474 + 1461. Let a(c) = 9*c - 271. What is a(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35869809 and 17610?\nAnswer: 1761","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - ((-6)\/3)\/2. Let s = -74\/5 + 597\/40. Which is the nearest to v? (a) s (b) -4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2. Let v(o) be the second derivative of 1\/2*o**3 + 0 + 0*o**2 - 10*o. Determine l(v(x)).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b - 7 - 25 = 0. What is the units digit of b\/(-10) - ((-19026)\/70 - -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1652 = -793*i - 4692 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 1:34 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 25. Suppose -g + 7*q = 4*q - 17, 5*q - u = -3*g. What is the remainder when 38 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 + -2 - (0 - 1)) + -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((78736\/11544)\/266)\/((-2)\/1)\nAnswer: -1\/78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 8*d - 7. Let g be 3\/(-6) + ((-588)\/8)\/(-7). Is 2 a factor of b(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1251 - -1105545?\nAnswer: 1104284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30499 is divided by 83.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 930303901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 32\/6*27\/18. Suppose -19 = -5*g - r*i + 9*i, 4*g - 17 = -i. Solve k - 13 = -g*k - 3*z, -2*k = -5*z + 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4 + (-2*sqrt(1331) - sqrt(1331) - sqrt(1331)) - (-4 + -1*sqrt(1331) + sqrt(1331))**2) + 3.\nAnswer: 103 + 220*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 24 = -3*n. Put -12, n, 4 in decreasing order.\nAnswer: 4, n, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r. Let i(b) = 2*b**2 - 14071495*b. Calculate q(i(o)).\nAnswer: 6*o**2 - 42214485*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -4*t**2 - 5*t - 20. Let m(a) = -a**2 - a - 4. Let f(l) = k(l) - 5*m(l). Let i(u) = 2*u - 2*u - 11*u**2. Determine i(f(v)).\nAnswer: -11*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)*1*-4 + sqrt(190))\/(-3*1*sqrt(10)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -45, -87, -127, -165, -201?\n\"Answer: v**2 - 45*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6196 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 at least 27670\/439?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131, 360, 687, 1100, 1587, 2136?\nAnswer: 2735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.7 + -4.3. Let m = 0.2 + 1.8. Which is the third biggest value? (a) i (b) m (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-176970.053.\nAnswer: 176970.053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 0.1 (c) 2 (d) -70 (e) -2\/9 (f) -16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-108*a**2 - 56*a**2 - 12*a**2)*(4 - 5 - 3*a - 2).\nAnswer: 528*a**3 + 528*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, e: 2, w: 2, p: 1, i: 2, k: 4}. Give prob of picking 1 d, 1 p, and 1 i.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1145 a factor of 32239765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6845*n**3 + 38017870*n**2 - 4109980*n + 111080.\nAnswer: -5*(n - 5554)*(37*n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0347213613 rounded to five decimal places?\nAnswer: 0.03472","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 166?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 9:10 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - c + 36. Give n(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 201877 and 3159?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -98 - -99. Which is the closest to -1? (a) 0 (b) u (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22\/7 - -20\/7. Let z = 0.14 + 9.86. Let a = -10.2 + z. What is the closest to g in a, 0.1, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 + 1695*x**2 + 47475*x + 347625.\nAnswer: 5*(x + 15)**2*(x + 309)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (3 - 10) + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j + 3. Suppose 0*v = -4*v - 3*t - 12, 0 = -4*v - 5*t - 20. Let l be h(v). Let s be l\/(-7)*(-14)\/4. Which is smaller: s or 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 divided by 3057097?\nAnswer: 58\/3057097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, s: 4}. What is prob of sequence ssss?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 plus -70407?\nAnswer: -70424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61306?\nAnswer: 2, 7, 29, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 132\/(-99)*(-3 + 0) + -9. Let w(x) = -25*x - 118. What is the remainder when 19 is divided by w(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62983647 to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14397595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 266, 300, -158, -1366, -3582, -7064?\n\"Answer: -43*o**3 + 12*o**2 + 299*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 16*x - 68 = 7*a - a, 0 = -4*a - 5*x - 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11281667.88 rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1401 is divided by 452?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -27*(-578)\/459 - 30. Factor 0*r**2 + 0*r + 9\/8*r**y + 3\/2*r**3 + 0 - 3\/8*r**5.\nAnswer: -3*r**3*(r - 4)*(r + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1298358 + 1301642. What is k rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 435*i - 2*i - 41540 = -237*i for i.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*y + 238*y = 4*o - 47, 0 = -3*o - y for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1 + -1 + sqrt(363) + (2*sqrt(363)*5)**2 - -2*2*(sqrt(363) + -1)).\nAnswer: 55*sqrt(3) + 36296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8211 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (826\/56 - 14)*4\/3. Which is the closest to m? (a) -1\/4 (b) 0.3 (c) -3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 5:04 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64380 and 666?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -443878, -443864, -443828, -443758, -443642?\nAnswer: -443468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -40 - 52 + 16*a + 22*a**2 - 4*a**4 - 6*a**4 - 22 + 113 as y*a**3 + o*a + b + k*a**4 + v*a**2 and give o.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3123142 - 10?\nAnswer: 3123132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q - q + 2*q - 7. Suppose -3*h = -5*w + 22, 0 = 4*w - 5*w - 4*h + 9. Let g be a(w). Solve 0*m = -m - g for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0.6, -4, -0.5, 42, 480, 0, 0.1?\nAnswer: 480","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2567287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f**3 - 643*f**2 + 2 - 6 + 585*f**2 + 3 as c + o*f**2 + d*f**3 + k*f and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 320 = x - 2*d, -3*x - 3*d - 948 = 0. Let t be x\/(-20) - 213\/(-710). Solve -t = -4*q + 4 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in -4, -21055, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -123 + 7562?\nAnswer: 7437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 6*p + 2*p**3 + 3*p**2 + 5*p**2 - p**3 - 2. Suppose 0 = 5*w - 39 + 14. Suppose w*b + 30 = -5*a, -a - b - 8 = -2*b. Determine c(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -107032.0106 to the nearest ten.\nAnswer: -107030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 6:20 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 11022370 to the nearest 10000.\nAnswer: 11020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10499 and 10?\nAnswer: -104990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -14, -74209, 2\/11, 0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m**2 + 283*m. Let n(x) = -x**2. Determine b(n(g)).\nAnswer: 4*g**4 - 283*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -64*g**2. Let b(r) = r. Let x(q) = -4*q. Let h(i) = -5*b(i) - x(i). What is h(a(o))?\nAnswer: 64*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 1 + (-8)\/2. Let n(v) = v**2 + 3*v - 3. Let k(l) = -2*l**2 + 26 - 23*l - 19 + 16*l. Determine g*k(a) - 7*n(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -117.6141 rounded to the nearest integer?\nAnswer: -118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -725*l**3 + 3*l**2 - 111?\nAnswer: -4350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5\/3 (b) -1 (c) -0.3 (d) 7 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.6 - -1.6135. What is f rounded to three decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2702 - -1270.\nAnswer: 3972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence riio when four letters picked without replacement from riiozbi?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/6)\/(2\/(-6)). Suppose 5*c - 92 + 27 = 0. Solve -g*i = -c + 5 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 507968.\nAnswer: 2, 7937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 3. Suppose -b + 3 = u, b - j*b + 9 = u. Suppose -y = -k - 1856, -3*k + 6*k = -b*y - 5592. Round k to the nearest one hundred.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6493*c*z**2 + 965176*c*z - 76*c + 30306*z**2 - z - 2 wrt z?\nAnswer: -12986*c + 60612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -2603*s**8\/56 + 437*s**4\/12 - s**3\/6 + 26*s. Find the third derivative of d(h) wrt h.\nAnswer: -312360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1015, -1632, -2235, -2824, -3399, -3960, -4507?\nAnswer: -5040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.05 + 0.35. Let y be (12 - 12)\/(-3 + 3\/3). What is the closest to y in 1, -1\/2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3509*l**3 - 3354*l**3 + 6 - 7*l**2 - 5*l**2 + l**4 + 14*l**2 to r*l**2 + v + g*l + i*l**3 + a*l**4 and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qumu when four letters picked without replacement from {u: 3, q: 3, m: 2}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.40916 millennia in months?\nAnswer: 364909.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 849 a factor of 198923774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 50\/(-8)*(-6)\/9*(-738)\/(-123). What is the third biggest value in 2, -1\/5, o, 16, -3\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*y + 65 = 44*y. What is the second derivative of -66*i + 238*i - 72*i + 48*i**y wrt i?\nAnswer: 960*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*v - 35234 = 240778. What is the remainder when v is divided by 736?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -8. Let l be ((-48)\/40)\/((-2)\/v). List the prime factors of l - 1 - (5 + -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208*s + s**2 + 208*s.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -5.03. Let g = p - -0.43. What is the biggest value in 2\/7, g, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*g - 4. Let l be 18\/(-18) - (g + 4). Let f(t) = 8*t - 2. Give f(l).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/4)\/((i*i**(-5\/3))\/i))\/(i\/(i**(-1\/6)*i)*i*i\/(i**12\/i)*i) assuming i is positive.\nAnswer: i**(37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 279 + -79. Is i a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/150344?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(175)*3 - (sqrt(42) - sqrt(126)\/sqrt(3))\/sqrt(6)) + (sqrt(105)\/sqrt(3)*-4)\/(sqrt(5) - -2*sqrt(245)).\nAnswer: 1 + 221*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2 + 2*z + 10. Let a be j(-4). Let s = a - -34. Suppose -4*y + 158 = 2*i, -3*y - 257 - s = -4*i. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -51 - 25) + (-7 - 14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - 13) + -5 + -4 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -419274 - -419274.1600026. Let v = 4.84 + -5. Let f = v + j. What is f rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 10:52 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 91) + (-4796 - -4802)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + -5)*4 - (sqrt(5) - (sqrt(180) + 5)**2)) + 5 + ((-2*sqrt(320))**2 + sqrt(5) - (sqrt(50)\/(sqrt(40) + sqrt(10) + sqrt(10)))**2).\nAnswer: 64*sqrt(5) + 23515\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 129, 817, 2609, 6063, 11737, 20189, 31977, 47659?\nAnswer: 67793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 85218 + -155218. Round p to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 346952, 693902, 1040850, 1387796, 1734740, 2081682?\nAnswer: 2428622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvrr when four letters picked without replacement from {v: 3, s: 10, r: 2, b: 3}?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 10*l + 1. Suppose 0*i + 4*s = 5*i + 45, -45 = 5*i + 4*s. Let m be a(i). Suppose o - m = -3*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 4*a + 1 = 0, -535*z = -537*z + 2*a + 2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o**5 - 79*o + 9*o**5 + 77*o wrt o.\nAnswer: 140*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000 - 1000001001?\nAnswer: -1000110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -549 = -0*y + 44*y + 17*y for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 2*l + 0*l)*(-2 - 2*l + 2) + l**2 - 5*l**2 + 2*l**2 - 4*l - 65*l**2 + 4*l - l + l + l**2.\nAnswer: -68*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nf when two letters picked without replacement from {g: 16, f: 2, n: 2}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 12*n**5 - 10*n**4 - 1740*n**3 + 1450*n**2 + 1728*n - 1440 = 0.\nAnswer: -12, -1, 5\/6, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33\/20 + 3\/20. Let g = 0.19 + 89.81. Let w = -86 + g. Sort -14, w, f in decreasing order.\nAnswer: w, f, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 15 = 3*a, -312*m = -2*a - 314*m + 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, i: 4, r: 4}. Give prob of sequence xiix.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 11*f**2 - 4*f + 44. Let l be t(11). Suppose 2*u + l*u = 5*r + 12, -u + 8 = -3*r. Calculate the remainder when 54 is divided by u + 33\/(1\/1).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 6:26 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.427 rounded to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 4.6?\nAnswer: -7.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 26. Let y = j - 8. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*w - 70. Suppose 5*f - 28 - w = 0. Let y = f - 10. Which is the closest to 1? (a) -0.4 (b) 0.4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2 - 9. Let g(t) = t**2 + 4. Let r(v) = -9*g(v) - 4*z(v). Let n(o) = -4*o. Determine n(r(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**15*(n*n**(-1\/32))\/n*n**7*n*n**(4\/17) assuming n is positive.\nAnswer: n**(12623\/544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 84. What is the greatest common factor of d and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45497603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -740955948 divided by 204?\nAnswer: -3632137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 736940.\nAnswer: 4421640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 14\/(-6))*738\/82. Suppose -i*t = -42*t - 60. Let c be 32\/42 + 2\/(-3). What is the smallest value in t, c, -2\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 34*h + 47*h + 42*h - 30 - 131*h. Determine f(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -22 (c) -2\/3 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56.00023 + 56. What is v rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - u = 8. Suppose -3*r + 56*w + 628 = 0, -4*w = -4*r - 5*w + 5. Solve r*z + 17 = m, -u*z + 4 - 24 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*r - 8, -2*r = 4*x - 0*x. Suppose 0*q - r*q = 12, 5*l - 4*q + 3 = 0. Let i(z) = -2*z**3 - 4*z**2 - 3*z - 3. Calculate i(l).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(0 + sqrt(288)) - 1*-2*sqrt(288) - (-5*(1*sqrt(288) - sqrt(288)) - (1 + sqrt(288))*-3))**2.\nAnswer: 432*sqrt(2) + 10377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hsssdddddsdfdddf. Give prob of sequence ddsd.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -17cd4 (base 15) to base 11\nAnswer: -52a66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5749349825.\nAnswer: 5, 83, 2770771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 15) to base 12\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43*c*v**2*z**3 + 3*c*v**2 - 57*c*v*z**3 + 5*c*v + 188*c*z**3 + 13*v**2*z wrt v?\nAnswer: 86*c*z**3 + 6*c + 26*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 343 divide 23503389?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a\/(a\/(a\/(a\/(a**(-1\/2)\/a)))))\/a)**50*((a**(1\/2)*a)\/a*a)**(-4\/7))\/((a*((a*a**(-1)\/a)\/a)\/a)**(1\/6)*a*a**(-2\/7)*a**(-4\/7)) assuming a is positive.\nAnswer: a**(-227\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*l + 69, 3*l - 5*l = 5*s - 235. Let f = s - 44. Suppose -3*v - 46 = -3*b + 2*v, v + 40 = f*b. What is the remainder when 17 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*s = 88*s - 74 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 1359 + 39. What are the prime factors of g\/18 - 2\/(-12)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*3 - (-300 - -320)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 13*s**2 + 212*s - 213*s + 2256 - 134. Let x(k) = -6*k**2 - 1061. Let q(i) = -4*m(i) - 9*x(i). Is q(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -k**4\/2 - 19*k**3\/6 + 6*k**2. What is the derivative of p(a) wrt a?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -6*v**2 + 1072*v - 5208. Let z be j(5). Factor -4 - 7\/2*y**z + 1\/4*y**3 - 31\/4*y.\nAnswer: (y - 16)*(y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-5 + 22 - 31) - 0\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 114825?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 922*a**2 + 911*a**2 + 3.\nAnswer: -11*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -3 - -3)\/(44\/8)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 1658?\nAnswer: 13264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 6. Let n be h(2). Is (4\/8)\/(n\/4) - -790 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 94\/(-4)*(-9 + 7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 309*k + 26512. What is a(-90)?\nAnswer: -1298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, a: 1, g: 3, i: 6, y: 1, u: 4}. Give prob of sequence uia.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -240, -479, -718, -957?\n\"Answer: -239*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*i + 40 = 0. Suppose -i - 78 = -4*l. What is the remainder when l is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2. Let k(z) = z + 7. Let p(w) = w + 5. Let g(n) = 5*k(n) - 7*p(n). What is g(h(m))?\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 0.083629 (c) 0.1 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 3*l = 24. Let x be 16\/12*12\/l. Suppose -10 = -x*b + 74. Is 11 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 9:44 AM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 59*2*4*2\/(-12). Let d = p + 64894\/825. Is 1 > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 93 + 15*u**3 + 3*u**3 - 43 - 52 wrt u?\nAnswer: 54*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.23793411816 to 3 decimal places.\nAnswer: -0.238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 4*n + 2. Let p = 457 + -461. Calculate k(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.16 and 1.\nAnswer: 6.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1783670 divided by -21490\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/48 and -38\/70059?\nAnswer: 1120944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11.8 + -0.6. Let c = 11.2 - q. Let r = c - -0.0123. Round r to 3 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -463*z**3 + 233*z**3 + 228*z**3 - 14*z**2.\nAnswer: -2*z**3 - 14*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2086949 is divided by 52153.\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(48) + -2)**2.\nAnswer: -16*sqrt(3) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4113.8 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -7*d**2 - 5*d - 5. Let g be v(-2). Let z = g - -31. Calculate the greatest common factor of 184 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2576\/5 <= -516?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59831833, -59831831, -59831827, -59831821, -59831813, -59831803?\nAnswer: -59831791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12\/(-2) - -1662*7\/(-21)*-1 is divided by 110.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 11*u**2 + 8*u + 3. Let i be x(9). Let c be ((-560)\/(-21))\/((-2)\/i). What is c rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1725 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lq when two letters picked without replacement from {u: 3, q: 9, r: 2, j: 3, l: 2}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/29, -3, -2\/3, -5, 4, 7925?\nAnswer: 7925","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 28*v**2 + 31*v - 49. Is s(29) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 277 = 2*v - 835. What is the remainder when v is divided by 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1512 greater than 1263?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -14, -4.\nAnswer: -14, -4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -10*r**2. Let z(y) = -25095*y**2. What is z(n(a))?\nAnswer: -2509500*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*f - 158 - 317 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4\/9 + 880*c**3\/9 - 41984*c**2 + 3354624*c.\nAnswer: 2*c*(c - 144)**2*(c + 728)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*y + 11 = 61*y - 7 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 319358027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -309 divided by 5\nAnswer: -309\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and -0.722.\nAnswer: -0.622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, u: 1, q: 1, a: 2, g: 1, b: 1}. What is prob of sequence qb?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1218213 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times -3?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2*m = -62, -6*m - 3 = -5*m. Let t = -15 + p. Let l(d) = 2*d - 7. Let s be l(5). Is s greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2729.491 kilometers to meters.\nAnswer: 2729491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1009 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1117.\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31050 by 414.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 + 144 = 5*h. Let m = h + -12. Let f(j) = -j**3 + 6*j**2 + 3. What is f(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -7*w + 15 - 10 - 8 + w**2. What is y(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 306811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.7458 and 0.02?\nAnswer: 0.034916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 61*b = -59*b - 6, 0 + 3 = 3*b for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0*y = -2*y, -4*s - 18 = 2*y. Let r be 36\/s - (-1 + -2 + 2). Let z(w) = -12*w - 22. What is the units digit of z(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -841 + 1727. Does 26 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*n**2 + 84*n**2 - 198*n**2 + 0*n**3 + 4*n**3 + 88*n**2.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2224*v**3 + 21*v + 23*v - 44*v - 369*v**3.\nAnswer: 1855*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1666 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -848*j - 1836*j = 619*j + 128817 for j.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2180 + -2180.00000009428. Round l to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9256\/(-1958) + 3\/(-11)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b**2 + 421*b + 451. Let y be t(-105). Solve y = 6*g + 316 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -527*m**2 + 201*m**2 + 4*m**2 to the form d + k*m + f*m**2 and give f.\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 214562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172590 divided by -1569.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 9*s**2 - 9*s + 12. Let d be t(8). Suppose -54 = -4*q + c, 3*c - 26 = -2*q + d*c. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4944?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**2\/4 + 70563*t\/2 - 7488105\/4 = 0. Calculate t.\nAnswer: -47095, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**2 + 7*h - 7*h + (-h**2 + h - h)*(1 - 4 + 2).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (44 + -254)\/(-35) - (2 + 98\/25)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/(-99))\/((-1)\/(45\/(-10))). Let u = 0.1 - 0.11. Let x = u - -3.01. Put x, -3, c in decreasing order.\nAnswer: x, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t - j + 4, -37*j - 34*j = -70*j - 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t - 2. Let f be j(2). Suppose -2*s - 1 + 9 = f. Suppose s*a - 13 + 5 = 0. Solve 9 = c + 4*r, -5*r = a*c - 8 - 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 - -9bab?\nAnswer: 9ba5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(56\/42*(-2)\/16). Sort g, 3, -2, -5 in decreasing order.\nAnswer: g, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65*q**3 + q**2 - 6*q**3 + 1 + q - 14*q**3 - q**3 to the form m*q**2 + n*q**3 + b*q + o and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -280, -4, -44?\nAnswer: -280","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 7138841030 to the nearest 1000000.\nAnswer: 7139000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -11132231 (base 5) to base 11\nAnswer: -68480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 35*p**2 + 311*p + 546. What is l(-22)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 426*z - 434*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7128?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 94.8*-0.1\nAnswer: -9.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -2\/19 (b) 11\/4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.73 - -0.87. Which is the third smallest value? (a) 1\/3 (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 588 by -49.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 5:59 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45582 - 45590. Let g be ((-4)\/(-14))\/(9\/(-21)). Which is the closest to -2\/11? (a) -0.3 (b) f (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2063*r**4 + 2065*r**4 - 2*r + 2*r**2 - 354 - 3*r**2 as x*r**4 + z + y*r + t*r**3 + m*r**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 + 8*z - 7. Let o be l(-5). Factor -5*h**2 - 2*h**3 + 2 + 6*h**3 - 3*h**o - 5 + 7*h.\nAnswer: (h - 3)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-6))\/((-6)\/63). Let q be (-170)\/f - 74\/259. Solve 0 = -5*i - 5*x - 5, -2*i - q = -5*x + 6 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and 0.0163.\nAnswer: 0.1141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2091451174?\nAnswer: 2, 29, 36059503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + -4.43?\nAnswer: -35.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -620262.6537 rounded to the nearest ten thousand?\nAnswer: -620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1671894935 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 8*l + 4. Let j be n(-8). Suppose 2*u - 4*k = 172, -j*k = k + 15. What is the greatest common divisor of u and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -645\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/3))**20)**(-36) assuming y is positive.\nAnswer: y**(-480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t + 11*t = 5*s - 7, 5*t = -5. What are the prime factors of s\/5 + (-36258)\/(-30)?\nAnswer: 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooovovovooooov. Give prob of picking 2 o.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 2960286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -205066, -205586, -206106, -206626, -207146, -207666?\n\"Answer: -520*v - 204546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1249 + 1249 - 21*q**2)*(2 - 1 - 2) + (2 + 0 - 3)*(-2*q**2 + 3*q**2 + q**2).\nAnswer: 19*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3006 is divided by 125.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 23572 divided by 71?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 3*q - 342, -4*b - b - 100 = -q. Let z(l) = l**3 - 4*l**2 - 3*l - 8. Let v be z(6). What is the highest common factor of v and q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 167 + -47. Is 7 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(147)*-1 + 2 - 2*sqrt(147)*5))*-6 + -2)**2.\nAnswer: -7392*sqrt(3) + 640396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -2. Put 1, i, -3, -2 in decreasing order.\nAnswer: i, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 483922427.\nAnswer: 97, 4988891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, v: 6}. What is prob of picking 2 v and 1 a?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 619 - -819?\nAnswer: 1236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 113 and 44.\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**3 + 2*b + 1. Let q(w) = -16*w**3 + 5*w + 11. Let a(u) = 4*g(u) - q(u). Let h(z) = 7*z**3 + 2*z - 6. Calculate -6*a(v) + 7*h(v).\nAnswer: v**3 - 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 10:04 PM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 6*v. Let y be l(-1). Let b be ((-420)\/(-7))\/(y\/(-8)). Suppose 2*t = -2*t + b. Does 20 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 18 = 4*c. Let a(s) = -3*s - 1. Let h(w) = 4*w + 1. Let n(i) = c*a(i) + 2*h(i). What is n(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 191612 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3240 = -1020. Let v = -9985\/7 - r. Calculate the common denominator of (-4)\/(-3)*4\/(-12) and v.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 5:12 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 212 - 210. Solve 0 = -i + j*i + 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*h - 109703 = 0, -2*i - 345096 = -h - 125697. What is i rounded to the nearest one thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-8)*2\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -1\/9, -1\/2, -0.68, 23?\nAnswer: -0.68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3655904224 rounded to 5 dps?\nAnswer: -0.36559","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4 - 98*t + 188*t - 93*t. Let x be f(-3). What is the third derivative of 3*l**2 + l**3 - l**3 + 28*l**x + 9*l**2 wrt l?\nAnswer: 1680*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324991 times -0.2?\nAnswer: -64998.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 12*o**2 + 480*o - 1. Let g be x(-40). Suppose -10 = -4*y - 26. Sort -2, 4, y, g.\nAnswer: y, -2, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of 1\/80*z**6 + 0 - 1\/32*z**4 + 0*z - 1\/8*z**3 - 1\/280*z**7 - 1\/448*z**8 - 2*z**2 + 1\/40*z**5. What is c in w(c) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12233 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate v**4 + 5*v + 10*v**4 - 5*v + 7 wrt v.\nAnswer: 44*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t - 1. Let b be u(5). Let n = 4 + b. Suppose 3*p - 74 = -5*i + 56, 2*p - 79 = -3*i. What is the remainder when i is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - 22. Suppose t*v - 32 = -4*d - 1, 0 = 4*d - 5*v + 9. Let j be (-30)\/d*15\/75. Which is the third smallest value? (a) 1 (b) 3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(3\/10)*p*p\/(p\/(p**(-2\/3)*p)*p)*p*p*(((p**(-5)\/p)\/p)\/p)**38 assuming p is positive.\nAnswer: p**(-9041\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 38391 to the power of 1\/2, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*d**2 + 3 - 3 to the form s*d**2 + m*d + b and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4217220 and 756.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -5*s**2 + 184*s + 130. What is m(33)?\nAnswer: 757","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((1641\/(-1094))\/(21\/4 + 0))\/((-132)\/(-42))\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*b + 35 = 97 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*g - 6*g. Suppose -309 = -3*a - 0*i + g*i, 3*a + 5*i - 309 = 0. Suppose 4*p - a = 57. Is 20 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/27*(-3)\/20.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 91 - 99. Let i(o) be the second derivative of o**4\/12 + 7*o**3\/6 + o**2\/2 + 179*o. Calculate i(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2747 + 54*c - 2747 - 53*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**5*q - 38*l**2*q**3 - 29*l*q**3 - 3*l*q**2 - 3*q wrt l.\nAnswer: 20*l**3*q - 76*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -6*q + 27. Suppose 4*t + 4*j = -16, q*t = 6*t - 3*j - 12. Let u(f) = 2*f**2 - 2*f + 50. What are the prime factors of u(t)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 17. Let y = i - 21. Let a = y - -27. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 a when two letters picked without replacement from hhahhhaaha?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(15 + 139 + 37)*(-2*x + 2*x + 2*x)*(-8*x**3 + 0*x**3 + x**3).\nAnswer: 5348*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*18*4\/(-6). Let q(g) = 124 + 3*g + 16*g - 15*g + 14*g + 12*g. Let x be q(-4). Solve x*w - j = -4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen halves of a century?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*z + 6, -3*q + 5*q - 2*z - 20 = 0. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14751077.\nAnswer: 11, 1341007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 46 - 130. Suppose 0 = 10*k - 6*k - z. What is the lowest common multiple of 2 and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 3*m - 3. Let b(l) = -l + 1. Let z(y) = 5*y + 62. Let k be z(-12). Calculate k*p(q) + 6*b(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -818 + 842. Let u = 15 + 4. Let f = u - a. What is the third smallest value in 5, 1\/5, f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 676 and 260.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 2*j - 14 = 0, -33*f + 3*j + 3 = -15*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/4, -1, -3, 2, -1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a minute in seconds?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 3\/5 (c) -0.04 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-6)*(-3)\/2. Solve 2 + b = -4*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b68 + -37?\nAnswer: -ba3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14*28\/(-1568))\/((-10)\/1720).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*x = -14, 0*f - 5*x = f + 13. Suppose 0*r - f = -3*r + u, 0 = 2*u - 8. Suppose -d + 35 = 2*v - 11, r*v - 70 = 5*d. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c + 6. Let a be x(1). Find the third derivative of -45650*t**2 - 6*t - 10*t**3 + 45644*t**a - 7*t**3 + 3*t**3 - 6*t wrt t.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -592 in -14, -4, 5?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7767\/27290 - -42\/2729. Determine u so that -1\/10 + q*u**4 - 3\/10*u + 1\/5*u**3 - 1\/5*u**2 + 1\/10*u**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31313123 (base 6) to base 11\nAnswer: 573048","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 713\/(-6) - (3 + (-34)\/12). Let n = -27 - d. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*t - 6*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4534\/12 + (-1022)\/(-84) + -12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 10*u - 3. Let d be p(11). Suppose d*s = 4*s + 140. Does 19 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13093 + 8735 = -6*z. Let x = 852413\/270 + 12658\/27. Let o = x + z. Calculate the common denominator of 17\/3 and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 5, g: 3, w: 3, j: 3, i: 4}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*n**2 + 72*n**2 - 6553793 + 6553793.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/7 (b) 2 (c) 77 (d) 4\/235\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*z + 6*l = -218, -17*z + 20*z = -5*l - 257 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 2, -0.3, 571, 1970?\nAnswer: 571","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/9*0 + 1. Let z = s - -2. Suppose 0 = -z*m - 10 - 2. Let u(r) = -r - 1. Give u(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -2*m - 1165. Suppose -5*q = -m + 73. Let s be (-2)\/6 + q\/6. Solve 3*i + 2*f + f = -3, 5*f - 25 = s*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2987.2 rounded to the nearest 100?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101, -82, -59, -32, -1, 34, 73?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 184 + 522?\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 35, 116, 245, 422, 647, 920, 1241?\n\"Answer: 24*r**2 + 9*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*u + 53*u + 4*v + 724, 5*u + 116 = 4*v for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/((-15)\/2))\/(2\/12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 2*i - 1, -4*i + 11 = 5*f - 0*i. What is the nearest to 0.09 in f, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3730 and 8579.\nAnswer: 85790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 8:58 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1410180 rounded to the nearest 10000?\nAnswer: 1410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -33195000 rounded to the nearest one hundred thousand?\nAnswer: -33200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2140305.6055518 - -2140323. Let a = -6.394447 + s. Let f = a + -11. Round f to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 5:51 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0505074 to four decimal places.\nAnswer: -0.0505","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7 - (-42)\/(-49)) + 1\/(-7). Let s(g) be the third derivative of -g**4\/4 - 7*g**3\/3 + g**2. What is the remainder when s(w) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44.2 + -48.2. Sort 9, l, 4, 28 in increasing order.\nAnswer: l, 4, 9, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4785 or 4781?\nAnswer: 4781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 87, 95, 123, 183, 287, 447, 675, 983?\n\"Answer: 2*m**3 - 2*m**2 + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 71371 + 537894. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 2:23 AM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -462, -286, -410, -834, -1558?\nAnswer: -2582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5134\/91 + 396\/7. Which is the closest to 5? (a) z (b) 0.02 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*i**4 + i**3 - 2*i**2 - 43 + 43 to the form v + p*i**4 + y*i**2 + t*i + j*i**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 44902087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89335775.\nAnswer: 5, 3573431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 157*p - 9. Let r(l) = -70*l + 3. Let t(o) = -6*r(o) - 2*u(o). Let g(z) = 8*z. Let j(c) = 12*c. Let y(x) = -7*g(x) + 5*j(x). What is t(y(f))?\nAnswer: 424*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2127 + -1?\nAnswer: -2128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*g + 2149 - 2149 + (6 - 2 - 1)*(2*g - 4 + 4) to m + r*g and give r.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*b - b = 6, -y - b + 2 = 0. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 7:01 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*b - 3 + 13 = 0, -5*b + 10 = 5*t. Solve -2*l + t = -4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 26*t**2 + 2*t + 2. Let n be q(-1). Let r = n + 62. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001234654162 rounded to 6 decimal places?\nAnswer: -0.000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, h: 2, m: 1}. What is prob of picking 1 m and 1 h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 50\/11*s - 48\/11*s**3 - 2\/11*s**5 + 0 + 20\/11*s**2 - 20\/11*s**4 = 0. Calculate s.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2895)\/4246*(-4)\/(-5))\/((-8)\/66).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-69)\/(-2)*(28\/(-42))\/(-1). Solve 0 = 4*i + 5*p + a, -9*i + 8*i + 10 = -4*p for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -223 + 414. Let k = -363 + w. Let z = k + 180.3. What is z rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 516\/(-387) - 9673\/(-3).\nAnswer: 11, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(6\/(-6)))\/(2\/12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 k when two letters picked without replacement from kovqccf.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u - 2*u - 4*u. Let j(y) = 6 + 7*y - 14 - 5*y + 8. Determine j(k(g)).\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**6\/120 + a**5\/5 - 7*a**4\/24 + 2*a**3\/3 - 7*a**2. Is 22 a factor of f(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.73804 years in decades?\nAnswer: 6.773804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7\/378*-63)\/(2\/(-36)). Let m be 3\/(((-2)\/(-9))\/2). Let k = 48 - m. Are r and k nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15c + e5?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7232 - -2065. Suppose -2346 = 7*f - c. What is the hundreds digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1050\/11 or -95?\nAnswer: -1050\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 15 = 5*u - n, -4*u - 3*n + 39 = 0. Calculate the remainder when 44 is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 0 - 0) + -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 129, 142, 163, 192, 229?\n\"Answer: 4*z**2 + z + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352 is divided by 177?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2 - 14*s - 1. Let a be u(-7). Let c be ((-52)\/(-715) + 1 + a)*5. Solve 8\/11*p**2 + 0 + 16\/11*p - c*p**3 - 2\/11*p**4 = 0 for p.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 389 + -72. What are the prime factors of p?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -1. Let d = 86.3 + -86. What is the second smallest value in d, m, -6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 43*o + 1510. Let t be i(-30). Calculate the greatest common factor of t and 1210.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3, -5, -7, -9, -11?\n\"Answer: -2*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -5. Let m = c + -2. Let s(y) = y**3 - 3*y**2 + 2*y - 4. What is the units digit of s(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-10))\/(v\/v**(-2\/15)))\/(v*v**(-2\/5)*v**(-1\/9)\/v) assuming v is positive.\nAnswer: v**(-433\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -5 (b) 2\/13 (c) -6 (d) -635 (e) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is a53f (base 16) in base 10?\nAnswer: 42303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 251127372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*n**6 - 14*n**5 + 16*n**3 + n**2 - 11286*n wrt n?\nAnswer: 1680*n**3 - 840*n**2 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -1d?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4053865 to two decimal places.\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 1, 348\/23, 4, 3\/7, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 803192*a - 8031830. Determine x(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 3681.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 253361, 506762, 760169, 1013588, 1267025, 1520486?\n\"Answer: s**3 - 3*s**2 + 253403*s - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18072 is divided by 859?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -3*y + 31, 5*d - 12 = -37. Suppose -75 = -y*n + 29. What are the prime factors of n?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 4*q + 2*d - 8, -d = 2*q - 7. Suppose 4*l = -2*j, q*l = 2*j - l. Solve j = -8*b + 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -5*t + 22445, -2*s + 22455 = 3*s + 3*t. Let u = s + -734. Let g = 1860 - u. What is g rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-9))\/(1\/3). Suppose l + 5 = d*l. Suppose -3*s - l = 4. Sort 0, s, 4 in decreasing order.\nAnswer: 4, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5742 and 16076.\nAnswer: 46154196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4508 + -4503. Solve 5*b = -5*l + 25, j*l + 11*b = 10*b + 17 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16859 is divided by 96?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/(-12))\/((-1)\/(-6)*6\/4)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 u when two letters picked without replacement from {h: 2, u: 3, f: 3}.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 6:10 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/288*1\/((-25)\/45)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 137691202 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: What comes next: -382, -381, -380, -379?\nAnswer: -378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 20\/(-28)) + (-706)\/(-2471). Suppose -h = -2*g - 7 + 3, -4*g + 6 = 5*h. Solve -i = -p + h for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k**2 + 6. Let n be q(-4). Suppose 0*c + c = n. What are the prime factors of c?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 3*d = 47, 112*r = 108*r + 8*d - 60 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((-4)\/(-30) - -148*11\/2640)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2497, 2505, 2515, 2527, 2541, 2557, 2575?\nAnswer: 2595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5*h**2 - 283*h - 122. What is d(57)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d**2 + 262*d + 132. What is j(-65)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 84.1227 + 0.0773. Let r = 84.199306 - v. Round r to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 62 = -33*c + 38*c, f + 16 = c for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -7*h**3 - 2*h**2 + 2. Suppose 4*o + o = -10. Let a(c) = c**3 + c**2 - c - 1. Calculate o*a(f) - g(f).\nAnswer: 5*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 536 (b) -5 (c) -47302\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = -r + 2*h, 57786*r - h - 31 = 57787*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -50*f. Let c(z) = -9*z - 8*z + 17*z - 5*z. Give q(c(b)).\nAnswer: 250*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 2*n - 72, n - 3*n = 3*d - 53. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1381, 10987, 37093, 87955, 171829?\n\"Answer: 1376*w**3 - 6*w**2 - 8*w + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.050437434 to 3 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1195 and 9560.\nAnswer: 9560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 12, 59*g = 56*g - u for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 30737327 (b) -0.2 (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 883845, 1767471, 2651097, 3534723, 4418349?\nAnswer: 5301975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7\/28)\/(1\/(-8)). Let r = -0.3 + -0.7. Which is the second biggest value? (a) 7 (b) r (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01263 - 60903113?\nAnswer: -60903113.01263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2139452 - -0.3.\nAnswer: 2139452.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 55 = h, 2460*d = -h + 2456*d + 70 for h.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 6*a**2 + 10*a**2 - 18*a**2. Let u(d) = 14*d**2. What is s(u(c))?\nAnswer: -392*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.672121 weeks to nanoseconds.\nAnswer: 406498780800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6472 and 20.\nAnswer: 32360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5930878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 234169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10894?\nAnswer: 2, 13, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p + 1. Let v be l(-3). Let o(z) = 2*z**3 + 17*z**2 + 4*z - 7. Let y be o(v). Suppose c - 6*c + y = 0. What is the remainder when 8 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-3 + 11 - 5) + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o - 2152 = -113*o - 799 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**3 + 2*f**2 - 2. Let z be v(2). Suppose 0*n - 2*n - z = 0. Let o be 16\/n - (-2)\/5. What is the third smallest value in 2\/17, 2, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -323 - -868. Suppose -549*o + 2400 = -b*o. What is the hundreds digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 4:24 PM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/24 and 121\/336.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 630596012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -217992451*w**3 - 36*w**2 + 2217452 wrt w.\nAnswer: -1307954706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5*s**3 - 6*s**2 + 1325*s + 3. Let w(c) = -10*c**3 + 14*c**2 - 2649*c - 7. Determine 7*a(m) + 3*w(m).\nAnswer: 5*m**3 + 1328*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dvv when three letters picked without replacement from vppvppvvppdppvpvvpv.\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-3) + -1 + 5. Suppose -3*h = -2*b - 1 - 21, 4*h + u*b = 1. What is the third derivative of h*k + 21*k**2 - 4*k + 2*k**4 - 15*k**2 wrt k?\nAnswer: 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 10) to base 14\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 43 = 31 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 14*v**2 - 12*v + 4. What is d(-15)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 10*d + 4*d - 271 - 29 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 1 = 7. Let r be 6\/(-27) + (-274)\/(-18). Let v be 437\/r - i\/(-45). Calculate the highest common factor of 29 and v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31196?\nAnswer: 2, 11, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 701*2\/(-20). Let c = 72 + f. Find the common denominator of c and -79\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-3)*(-2 - 967). Let n = v - 402. Which is greater: n or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*r - 76*r - 20 = 0, -3*c + 2065 = -5*r. Calculate the highest common divisor of 920 and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44976 and 75.\nAnswer: 1124400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = u + 2*a, 73*u - 10 = 69*u - 2*a for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y**2 + 51*y - 12. Let g(j) = -j**2 - 17*j + 4. Let f(l) = -2*b(l) - 7*g(l). Let s be f(17). Let x = 6 - 15. Put s, x, -2\/3 in descending order.\nAnswer: -2\/3, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 75 = 21. Suppose -90 = -2*u + 2*m, 78 + 111 = 4*u + 5*m. What is the remainder when u is divided by s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.4 - 1529.03.\nAnswer: -1526.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -362 - -362.149. Let h = p + -0.349. What is the second smallest value in 0.4, 1, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 574*a**3 - 70*a**2 + 70*a - 70. Let n(l) = -25*l**3 + 3*l**2 - 3*l + 3. Let y be (105\/(-4))\/(813\/(-2168)). Determine y*n(w) + 3*x(w).\nAnswer: -28*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k + 11. Determine v(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 4*p = 5*y + 180, -5*y + 385 = 3*p. Suppose -y = 3*z + 64. Is (37\/(-3))\/(2\/z) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*s + 19*s + 48*s to m*s + b and give m.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 687\/5*o + 3\/5*o**2 = 0.\nAnswer: 0, 229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7304081*x**4 + 22321*x**2 + x - 13 wrt x.\nAnswer: 175297944*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 + 63 + 2622*h**3.\nAnswer: 2622*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 2*n + 15 = 0, -o + 4*n + 13257 - 13254 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -484, -424, -324, -184, -4?\nAnswer: 216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20775121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 + -2 + -20 + (27 - -6 - 28)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -505*p + 54640 + 3958 = 201*p for p.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1530425 = 37*p + 1129135. What is p rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55074 and 4623?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 2*x + 12, -8 = -3*s - 5*x + 3*x. What is the remainder when 15 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g - 10 = 7. Does 4 divide 190*(-2)\/(-5) + -4*g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-20)\/3) - (-63)\/108.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 6 + (-19 - -8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*(((-24)\/8)\/27)\/(32\/(-96)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -5*y + 41 + 214, 5*y = 2*v - 95. Calculate the highest common divisor of v and 1725.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -243*w + 1515*w**3 - 1518*w**3 + 243*w.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02504 less than 23690008?\nAnswer: 23690007.97496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36040637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*q = 166*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 333325 not equal to 333324?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 + 2*x**4 + 3*x**4 + 29 - x**4 - 3*x**4 - 87 to the form r*x + y*x**4 + q + o*x**2 + z*x**3 and give q.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f**2 - 415 + 415 + 11*f in the form j*f + h + x*f**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**3*n**2 - 2*a**3 - a**2*n**2*w - 18*a**2*n*w - a*n**2 - a - w wrt n?\nAnswer: -4*a**3 - 2*a**2*w - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 4*l + 139 = 118, -4*l - 9 = 5*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of 0 + 0*q + 5\/3*q**3 + 1\/8*q**4 - 3*q**2. Let h be g(-5). Let b(t) = 4*t + 3. Give b(h).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -307.8 - -308. What is the biggest value in -5, v, -57?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -332 - 10?\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -11. Let y = 0.6396 + -0.4396. Let u be (20\/(-165))\/((-2)\/(-3)). Which is the fourth biggest value? (a) t (b) 3 (c) u (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35771 - -35459. What is the third smallest value in c, -1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52 - 57. Let a be 3\/w - 7*4\/(-5). Solve -a*f - 2 - 3 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150966780 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**16\/w)\/w)**(-50) assuming w is positive.\nAnswer: w**(-700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 8 = -d, -d + 5*n - 22 = 6. Let r(p) = -2*p - 13. Let x be r(d). Which is the second smallest value? (a) -0.4 (b) 1\/4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/16)\/((-14)\/112)*-3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -467718 divided by 50\nAnswer: -233859\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 237 and 208 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 3, -0.9, 4.6?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 151*x - 21. Let u be h(-9). Round u to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6340490 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6466380 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + 4)\/((-3)\/(-27)). Let j be ((-642)\/27 + (-12)\/n)*-22375. What is j rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 111 + -114. Let r(w) = -3*w + 64. Let q(h) = h**2 + 7*h + 2. Let l be q(-9). Let o be r(l). Sort o, d, 1, -5 in descending order.\nAnswer: o, 1, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssnnlsssctsckncsck. Give prob of sequence ktk.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a millimeter in micrometers?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 735863244 to the power of 1\/3, to the nearest integer?\nAnswer: 903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263163 is divided by 723?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a century in years?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 733286.8nm in millimeters?\nAnswer: 0.7332868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2966391 divided by 988797\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*d**5 - 2961*d**3 + 849*d**2 - 8*d**4 - 4 + 4 + 2961*d**3 wrt d?\nAnswer: 1020*d**2 - 192*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, v: 4, u: 7}. What is prob of sequence hu?\nAnswer: 49\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, -3\/5, -3, -29?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 98.72116 litres?\nAnswer: 98721.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -143216663.1 + 36.253?\nAnswer: -143216626.847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 532143 (base 9) in base 13?\nAnswer: b10a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4279*g - 51409. Calculate y(-12).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83, 89, 107, 143, 203, 293?\nAnswer: 419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -896*x - 11911 - 68729 for x.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -105 - -109. Suppose 2*d = -m + 94, -5*m + b*d = -2*m - 322. Is 2\/17 + 71286\/m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 - (-40 - (-59 + 61 - 91))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02855149 rounded to six dps?\nAnswer: -0.028551","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (((-1220)\/(-15))\/(-2))\/(47\/((-846)\/(-12)))\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -1005*g + 416. Is q(-3) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -31173121945240\nAnswer: -31173121945239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 400995*i**5 - 223*i + 488?\nAnswer: 8019900*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13728736 minus 13240?\nAnswer: 13715496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 113 - -1145?\nAnswer: 1260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1365 - 2483 = 360*x - 64*x for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*(-1 - -2) + -1. Let m = -264\/7 - -38. Let z = -12 - -7. Sort c, z, m in ascending order.\nAnswer: z, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -i**3 - 25*i**2 - 47*i - 23 = 0?\nAnswer: -23, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1451470, 34\/9, -2, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 736*m + 731*m - 2199*m + 734*m - 2021 to the form v*m + c and give c.\nAnswer: -2021","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 752845?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1035308, 2070638, 3105964, 4141286?\nAnswer: 5176604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**5 - 20*t**4 + 142*t**3 - 428*t**2 + 505*t - 200.\nAnswer: (t - 8)*(t - 5)**2*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*x**2 + 1 + 7*x - 3*x - 4*x - 3*x to o*x**2 + h + n*x and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/216 and -133\/9930?\nAnswer: 357480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5*(1 + -4*sqrt(343)*2 + -4 + -4).\nAnswer: 38 + 280*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28*((-112)\/(-35)*(-110)\/154)\/2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*o**3 - 8 - 8 + 7 - 8*o**3.\nAnswer: -31*o**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22264 and 184.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6522.\nAnswer: 2, 3, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 6, -12, -52, -120, -222?\nAnswer: -364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 33356329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7461 is divided by 182?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*a + 0 - 5 - 3 + 6 to the form l*a + v and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.5163 - -5.5163. Let v = 31\/20 + -7\/4. What is the third smallest value in 7, r, v, 0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g**2 - 3811 - 3847 + 7658.\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 184235814 to the power of 1\/2, to the nearest integer?\nAnswer: 13573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 37\/5 of a decade?\nAnswer: 888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f - 48?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-1006)\/(-14) + ((-60435)\/1785 - (-2 - 32))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -364cf7c - 4?\nAnswer: -364cf80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 96128336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 991*p = 983*p + y + 619, -6*y + 2*y = -7*p + 526 for p.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3954*s + 252184 = 7036 for s.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-13)\/(-52))\/(1\/12). Let t(j) be the second derivative of 0*j**2 + 0 + 1\/66*j**4 + i*j + 1\/33*j**3. Factor t(l).\nAnswer: 2*l*(l + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -31) + (1 - 8 - (-12 - 1)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 842*c + 7. Let h = -120 - -122. Is i(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -m**5\/20 - m**4\/3 - 5*m**3\/6 - 2*m**2 + 4*m. What is the remainder when (21\/(-14))\/((-3)\/18) is divided by a(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1042.64899984 + 1056.649. Let c = -14 + n. What is c rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d**3 + 6*d + 6. Let j(t) = -5*t**3 + 5*t + 6. Calculate -6*j(u) + 5*m(u).\nAnswer: 10*u**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1228231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 36273.21 centimeters in kilometers?\nAnswer: 0.3627321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 832 and 2188.\nAnswer: 455104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7662 is divided by 100?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3110275\/96 + -32398. What is the common denominator of -20\/117 and p?\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 27 = 4*g, 11 = -z - 4*g + 2*g. Let r be 2\/z + (-204)\/(-10). Let d = -61 - -86. Solve r = -p - 3*b, -4*b - d = -3*p + 4*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*l - 2*l + l)*(-2 + 1 - 3)*(2 + 0 + 0).\nAnswer: 80*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000460884 to six decimal places.\nAnswer: 0.000461","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o**3 + o**2 - 1. Let y be g(1). Factor -y*s**4 + 3*s**5 + 4*s**2 - 4*s**2.\nAnswer: 3*s**4*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, i: 3}. What is prob of sequence in?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus -8335?\nAnswer: -8334.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r**3 + 3*r**3 + r**3 + (-4*r**3 + 4*r**3 + r**3 + (-4*r + r + 2*r)*(2*r**2 - 3*r**2 + 0*r**2))*(-377 + 127 + 70).\nAnswer: -361*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zm when two letters picked without replacement from fffnfzmfgmfffenm?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m**3 - m + 5 - 4*m**2 - 2*m**4 - 2*m**3 - 2 as l + d*m**3 + n*m + w*m**2 + g*m**4 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, -3, 6\/11, 0.15, 0.2, 0.24, -0.4?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 294146 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/9 or -1607868?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of m**5\/110 - m**4\/11 + 4*m**3\/11 - 8*m**2\/11 + 11*m - 8. Let q(t) be the first derivative of s(t). Factor q(x).\nAnswer: 2*(x - 2)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 2*k - 23, 128*k - 123*k = 4*c + 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -189 at least as big as -206?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83258?\nAnswer: 2, 7, 19, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 894 and 7729971.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 190848133 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 165 = -5*j, 45 = -5*v + 2*j + 207. Let r = v - 30. Suppose 42 = 4*x - 2*c, 2*x - r*c - 9 = x. Solve -2*d = o + x, -2*o - 5*d - 13 = -4*d for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (9 + (-1 + 8 - (-9 + 55))).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 5*b - 14*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 8) to base 9\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((-2 + sqrt(325))*-3 + sqrt(325) + 6*1*sqrt(325) + sqrt(325))*-3 + 4)**2.\nAnswer: 22500*sqrt(13) + 660625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v + 2*v. Suppose 5*m - 150 = -3*o, 3*m = 3*o - v*m - 150. Calculate the remainder when o is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18.8 - -0.8. Let j = 18.05 + i. Let x = j + -2.85. What is x rounded to zero decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5*(sqrt(125) + sqrt(125)*-2))**2*6 + 2.\nAnswer: -56248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 + (-48 - 116) - -136?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**2 - 9159*a + 16. Let p(g) = g**2. Determine u(p(o)).\nAnswer: 3*o**4 - 9159*o**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 638571 divided by 215.\nAnswer: 638571\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 48.92637.\nAnswer: 48.72637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -2. Suppose 12 + t = 3*o. Calculate the highest common factor of 8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*r - 3. Let q = 292 + 56. Let i = 347.7 - q. What is the second biggest value in -9, 4, r, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 11*n - 13. Does 16 divide r(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3147 - -3207. What is the highest common divisor of 1164 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*t**3 + 9*t**2 + 6*t - 19*t + 4*t - 9 + 13*t wrt t?\nAnswer: -18*t + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**3 + 2. Let r be t(0). Let x(w) = -42*w**2 + 3*w + 7*w + w**3 + 53*w**r. What is x(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/(-63) - 11\/9. Let d be (1 - (-2)\/y)\/1. Suppose 0 = 5*b + 18 + 2. Put d, b, -2 in ascending order.\nAnswer: b, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 142bc + -7?\nAnswer: 142b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 101 - -762. Does 16 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h - 22*h + h + 372 = 0. Suppose -u + 10 = 4*u. Solve -m + h = u*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n. Let p(c) = c**2 + 1674*c - 35063. Give p(i(v)).\nAnswer: 4*v**2 + 3348*v - 35063","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 8*g**2 + 2. Let z be l(8). Suppose 4*p - z*p - 10 = 0, 5*f + 5*p = 40. Calculate the lowest common multiple of f and 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (24 + -60) - -21.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.328 to two dps.\nAnswer: -3.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0*2\/(-4))\/1. Let w be ((-7)\/21)\/(7\/9). Is v at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1142 or -1143?\nAnswer: -1143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 4*n - 5. Let i be o(-5). Suppose -5*l + 22 + 28 = i. Is 10 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -16.65489.\nAnswer: -49.96467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 6*n**2 - 7*n - 7. Let a be k(-5). Suppose 2*q - 5*q = -2*h + 9, 0 = 5*q - a*h + 14. Let t be (q\/2)\/(4\/(-8)). Is 0 >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {z: 4, f: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1281, 1513, 1745, 1977, 2209, 2441?\n\"Answer: 232*o + 1049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 165.12268 to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (3 - 12 - -14) + -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.7*-0.3\nAnswer: 0.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -430?\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f**2 - f - 7. Let l be k(-3). Let c = 116 - l. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 + 33. Suppose -z*l - 1 = -2*c + 3, -25 = -5*c. Let t(u) = 4*u**2 - 7*u**2 + l*u**2. Let q(b) = 5*b**2. What is t(q(g))?\nAnswer: -25*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/(-40))\/(531\/(-354)))\/((-1)\/400)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 157980986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2511, 0, 30 in descending order.\nAnswer: 30, 0, -2511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 34.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6769 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 27557903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (76 - 181 + 61 + 10*x)*(-2*x + 4*x + 4*x).\nAnswer: 60*x**2 - 264*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*5*2\/(-4). Let v(o) = 4*o + 4. Suppose -32 = 2*w - 5*t, 0 = -6*w - 11*t + 16*t - 36. Let a(i) = -1. Let m(g) = k*a(g) + w*v(g). Give m(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**32*q**28\/q*q**(3\/35)*q**(5\/6))**(-12) assuming q is positive.\nAnswer: q**(-25166\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 550*(-22)\/(-242)*-1?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.1 (b) -229\/5 (c) 3 (d) -3 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 166 + -62. Suppose -4*t + 36 + s = 0. Suppose -a - r + 33 = 2*a, -5*r = 2*a - t. Calculate the greatest common factor of 50 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - n - n + 70 = 0, -2*n + 35 = u. Let t(c) = -c**3 + 5*c**2 - 2*c - 4. Let j be t(4). Suppose j*h - 69 = u. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1795936 is divided by 256538.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 0*p + 2*p**3)*(-2 + 2 + 5*p**2) + 5*p**5 + 0*p**5 - 3*p**5 + (-2*p + 2*p - 2*p)*(2*p**4 + p - p) - 4*p**5 - 7*p + 7*p.\nAnswer: 4*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 11 - 4. Let f be (0 - -10)*(-1)\/(-1). Solve -d + f = q*y, 12 = 4*y - d + 1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-2))\/(1\/8). Let s = -2042 - -2041. Which is smaller: s or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*q = 1717, d - 5*q = -2*q + 431. What are the prime factors of d?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -17*k**5\/60 + 29*k**2. Let i(n) = 2*n**2. Give i(x(m)).\nAnswer: 578*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.71511 nanograms to tonnes.\nAnswer: 0.00000000000004771511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 10 = r + 4*r, 4*y = 3*r + 8. Do r and -6\/37 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 2:00 AM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 238 and 0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of f**2 - 24. Let m(p) be the second derivative of p**3\/3 - 14*p**2 - 8*p. Determine m(w(y)).\nAnswer: 4*y - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8900, 18355, 27810, 37265, 46720?\n\"Answer: 9455*q - 555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -316*u**2 + 0 + 310*u**2 + 0. Let i(x) be the second derivative of -x**3 - 13*x. Give t(i(m)).\nAnswer: -216*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4232, -8415, -12602, -16793, -20988, -25187?\nAnswer: -29390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of 7*t**3\/6 + 19*t**2\/2 + t - 7. Let m(w) = w**2 - w - 10. Let g be m(5). List the prime factors of i(g).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2627*a - 1233*a + 2 + 175*a**4 - 1269*a wrt a.\nAnswer: 2100*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uqq when three letters picked without replacement from {u: 3, q: 7}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -5*r**3 - 150*r**2 + 660*r - 680 = 0.\nAnswer: -34, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 15) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6908756, -0.08 in increasing order.\nAnswer: -2, -0.08, 6908756","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24678 divided by 24693.\nAnswer: 8226\/8231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b (base 16) to base 10\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*k - 105*k = 4*t - 4, -4*t + 2*k = -2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)*-1*-1)\/sqrt(8))\/((sqrt(168)\/sqrt(112))\/sqrt(6)).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 10 - 12 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25839148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*a**4 - 25*a**3 + 5425*a**2 + 12100*a - 283140 = 0. Calculate a.\nAnswer: -22, -9, 13\/2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 31*k**3 - k**2. Determine m(-1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 4*l**2 - 76 + 76 - 17*l + 11 + 63. Is 62 a factor of a(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74654 + -10818.63?\nAnswer: 63835.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1272999 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, n: 4, x: 3, a: 3}. Give prob of picking 2 x and 1 u.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c + 2*c = 660. What is the remainder when c is divided by ((-34)\/6)\/((-1)\/3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13253 and 19651.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*x + 72*x = -258. What is the remainder when x is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10110010010000110011 (base 2) to base 9\nAnswer: -1332532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-4))\/((-1)\/(-6)). Let p be (v - -2)*(0 + -4). What is i in i**5 - i**p - i**4 + i**3 + 0*i**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 5:11 PM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*t + 15. Let p(v) = -3*v + 1. Let f(j) = 2*j - 1. Let z(o) = t*p(o) - 8*f(o). Let k be -1*3\/(-2)*2. Calculate z(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-66)\/(-330))\/((-6)\/20 + 0)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*l = 29*l + 1728. Let d(a) = -2*a**2 - 37*a - 13. What is d(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3440 at most as big as 10324\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4819 and 316.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44 - 32. Let t(z) = -2 + 47*z - n*z - 24*z. Calculate t(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -58 - -59 - 188*-1 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkyxbkykxykp. What is prob of sequence kpyy?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -17. Suppose 7*s = 6*s + z. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**2 - 12*u**4 + 2541*u**3 - 2525*u**3 + 3*u**4 + (-10*u**3 + 0*u**3 + 2*u**3)*(3*u - 11*u - 5*u) as s*u**4 + n + k*u**3 + x*u**2 + o*u and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 97381, 389438, 876201, 1557670, 2433845?\n\"Answer: 97353*z**2 - 2*z + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (0 + sqrt(112) + 2)**2 + ((4 + sqrt(28) + 1*sqrt(448))*6)**2.\nAnswer: 2896*sqrt(7) + 25892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 2*p**2 - 2*p + 1. Let m be a(-3). Is 7 a factor of (m\/4)\/(12\/(-264))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-10)*t*t*t**35*t assuming t is positive.\nAnswer: t**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3, 0 in descending order.\nAnswer: 8, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-5*(-6)\/90)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1765609.2 to the nearest 10000.\nAnswer: -1770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + t - 10 + 2 = 0, -z - 1 = -2*t for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -7, -6, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3493*h + 10420*h - 3466*h - 2720*h.\nAnswer: 741*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 307*i = 4212 + 2235. What is the greatest common divisor of i and 2779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*x - 16*x = 473. What is the remainder when 343 is divided by x?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19888, -39599, -59310?\nAnswer: -79021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*y - 16*y + 273*y + 13*y - 13468 for y.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 28 = 2*j, -2*j = 38 - 30. Let c(r) = -r**2 + 6*r + 6. Determine c(x).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**2 - 2*s**4 - 7*s**4 + 16*s**4 - 1 to l + w*s**2 + k*s**4 + n*s + q*s**3 and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 1 - 16 - (0 + -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30787 is divided by 23.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide ((-3045)\/(-45) - (-2)\/6) + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.9 - 2. Let p = -30 - -18. Let m = p - -11. Which is smaller: m or o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 70*r + 492. What are the prime factors of o(7)?\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 399, 990, 1779, 2772, 3975, 5394, 7035, 8904?\n\"Answer: h**3 + 93*h**2 + 305*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011111011000101 - 101010100?\nAnswer: -10100000000011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21283 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 4246?\nAnswer: -1\/2123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 359417 to the nearest integer?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 2*t + 4, -t = -5*s + 4*t. Suppose 0 = -5*v + 4 - 14, s = -w - 3*v. Let 4374\/11 - 6\/11*o**3 + 162\/11*o**w - 1458\/11*o = 0. What is o?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -106560, -213055, -319542, -426021?\n\"Answer: 4*f**2 - 106507*f - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101 (base 3) in base 13?\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(228) + (sqrt(228)*-1 - sqrt(228))))\/(sqrt(1728) + -2*sqrt(1728)).\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, -1, 2, 0, -144, 0.9, 1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p + 4 - 1 + 3. Suppose -3*o + 5 = -2*o + 3*z, -4*o - 2*z = -10. Calculate the remainder when o is divided by t(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (8 - -2) - (0 - -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83637686?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, 2, -855402?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2765802 is divided by 1113?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*z = -3, 9*m - 5 = 4*m + 3*z. What is the smallest value in -1, -2\/15, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-22)*15884\/6498?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1679034050 by 10.\nAnswer: 167903405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 6, 10, 6, -12, -50, -114?\nAnswer: -210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -272*s**2 + 74268*s - 3276.\nAnswer: -4*(s - 273)*(68*s - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - o - o)*(o**4 - 3*o**4 + 5*o**4) + 751*o**2 + 95*o**5 - 751*o**2.\nAnswer: 98*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*b - 7277*b**2 + 13400*b**2 - 28*b.\nAnswer: 6123*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 1277, 34, -1, 2, -4 in ascending order.\nAnswer: -4, -1, 2, 10, 34, 1277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4)*t)\/((t**(-2)*t)\/t)*t\/t**(-3)*t*t**(-1\/7) assuming t is positive.\nAnswer: t**(27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7790687 millilitres in litres?\nAnswer: 0.0007790687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2\/4*6*(8 - -123)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1275987?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**4 - 3*w**4 - w**4 + 4 - 7*w**2 - 17 + 2*w**3 in the form y*w**4 + s*w + v*w**3 + q + f*w**2 and give q.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3848.23328 + -3848. Round w to three dps.\nAnswer: 0.233","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 1)*(-6 + 5*l + 6)*((0*l - l + 2*l)*(5 + 2*l - 5) - 1 + 1 + 2*l**2).\nAnswer: -40*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of 169*q**8\/28 - 17*q**4\/12 - q**3\/3 + 2*q + 15. Find the third derivative of f(j) wrt j.\nAnswer: 40560*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 o when four letters picked without replacement from {v: 2, o: 3}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 362 - 368. Let a(y) = -y**3 - 6*y**2 - 11. Determine a(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9b3085 (base 12) in base 15?\nAnswer: -33ca7e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 145602, 1, 9 in descending order.\nAnswer: 145602, 9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence azm when three letters picked without replacement from xmdmmddmxamzzdxxdzx?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 466, -6, -2, -48 in increasing order.\nAnswer: -48, -6, -2, 466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-13)\/5 + 2 + (-259966)\/(-310)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, t: 3, l: 1, y: 3, o: 4, v: 1}. Give prob of picking 2 o and 1 s.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 7*z - 370 = 0. Let o = z + -922\/5. Let p = -176\/3 - -58. Which is the nearest to p? (a) 0.1 (b) o (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 4 = -2*r + 10, 0 = 3*j + r - 9 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f + 65 = 681. Suppose -3*o = 3, -3*s - 5 = -6*s - 4*o. Suppose 0 = p - s*p + 30. What is the remainder when f is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6183*g*k**3 - 37*g*k + 5*g - k**4 - 11*k**2 wrt k.\nAnswer: -37098*g - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3\/4)*z*z)\/(((z\/(z**17\/z))\/z)\/z))**(2\/31) assuming z is positive.\nAnswer: z**(73\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 5:45 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 778465 a multiple of 317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (20\/8)\/(-5)*-4. Suppose -4*s + 36 = 2*u - j, u + s = 19. What are the prime factors of u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y - 19. Let a be d(-6). Let h(x) = 2*x**2 + 2*x + 1. Let c be h(a). Suppose 18*o = 19*o + c. Which is greater: -2\/21 or o?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4245994, -8491985, -12737974, -16983961, -21229946, -25475929?\n\"Answer: a**2 - 4245994*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from wcvbbvvbbwv?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11944, -23895, -35850, -47809?\nAnswer: -59772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9489, 9630, 9861, 10182, 10593?\n\"Answer: 45*x**2 + 6*x + 9438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0058 - -0.0139. Is f <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32.46 - -0.54. Let d = -53 + u. Sort d, 0.1, 5 in descending order.\nAnswer: 5, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 8, z: 2, w: 5}. What is prob of sequence zmmm?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.282446 to 2 dps.\nAnswer: 1.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -5*p**4 - 33*p**3 + 90*p**2 + 2*p + 2. Let s(g) = -5*g**4 - 32*g**3 + 90*g**2 + 3*g + 3. Let o(c) = 3*n(c) - 2*s(c). Factor o(r).\nAnswer: -5*r**2*(r - 2)*(r + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 26 (b) 2 (c) 5 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 209*n + 5 - 2*n**3 - 206*n - 4 + 2*n**2. Let a be y(-1). List the prime factors of (a\/(-6) + 1)*129.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 - u**3 + 5*u**2 - 6*u**2 - 11*u**3.\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*2\/(4\/7). Suppose -a*z - 10 = -8*z. Is 53 + (-2 - z\/(-2)) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y - i - 7, 134*i = -y + 132*i - 14 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-24)\/(-66) + ((-190428)\/15840 - -13) and 65\/272?\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 124 - 89. Suppose 3 = -k, -5*g + 4*k + 4 = -3*g. What is the smallest value in y, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 587 - 10\/(-25)*-5. Suppose -6*c = -3*c + p. Calculate the common denominator of -41\/20 and c\/(-18) - 0\/(-2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2751925439.\nAnswer: 17, 19, 137, 62189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/2112 and -47\/1920.\nAnswer: 21120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 436?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-15)*(-9)\/12. Let k = 2\/5 - p. What is the third smallest value in k, -0.3, 0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**3 - 13*w**2 + 22*w - 2. Let z be r(3). Is 11 a factor of 8\/1 + (642 - z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 282 + -401. Let q be (-1506)\/8 - (-2 - (-21)\/12). Let k = n - q. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 12*p = -10*p - 25, -p - 12 = u. Is 6\/(-8)*2520\/u a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -577 + 582. Suppose -513 = -u*o + 177. Does 15 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 93 (b) 1\/2 (c) -0.346\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 376 or 9.74?\nAnswer: 9.74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 10*p**2 + p + 14. Let k be t(-10). Solve a - 2*i - 1 = 0, -3*a + a + 3*i + k = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2115\/6)\/47)\/((-81)\/594)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhh when four letters picked without replacement from hhshhhhshhh.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1)*(-8 - 29 - 67)*(-2*s + 0*s + 0*s).\nAnswer: 416*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**3 - 148*y**2 - 23*y - 1696. Determine q(-74).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -4\/5 (b) -1 (c) -117\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -14642 smaller than -14644?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 - 29. Let z(t) = -2*t**2 + 15*t - 3. Let g be z(i). Suppose h - 3*v = -h + 195, -g*v = -2*h + 200. Is 30 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 6. Is (y + -3)\/((-8)\/92) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from kzzzkzzzzkzzkkzz?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*c + 2)*(-c + 2*c - 3*c) + 3*c - 3*c - 6*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 + -0.1. Let w be ((24\/100)\/3)\/((-7)\/(-70)). Which is the closest to w? (a) -2\/11 (b) s (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 61560896?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 f when four letters picked without replacement from ffffjffffjffjfjjfff?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 356 and 202386?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ynjy when four letters picked without replacement from yynjnynjy.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -125796 equal to -125796?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 164.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-130)\/(-819))\/(10\/28).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -n**7\/630 + n**6\/135 - n**5\/90 - 2*n**3\/3 - 11*n. Let c(s) be the second derivative of t(s). Factor c(f).\nAnswer: -4*f*(f - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 4 = -4*u - 16, 20 = 5*m for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4200 - -104411?\nAnswer: 100211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6369 is divided by 543?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1280812 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3301875 (base 9) to base 15\nAnswer: -250495","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1189000 to the nearest 10000.\nAnswer: 1190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 141555546?\nAnswer: 141555546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 233438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -6*h - 13*h. Which is the closest to 155? (a) 5 (b) h (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and -25.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 337919\/2199 + -2\/733. Let y = h + -3260\/21. What is the common denominator of -8\/7 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t - 5. Let m = 20 + -29. What is the units digit of v(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 191*m**3 + m**2 - 7*m + 9.\nAnswer: 1146*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/28)\/(3*1\/(-4)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2338218?\nAnswer: 2, 3, 129901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3578, 3621, 3668, 3719?\nAnswer: 3774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g - 12. Determine x(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.53 + -0.53. Let f be 8\/3 - (1 - 3). Let p = 13\/3 - f. What is the second biggest value in p, s, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 849155.2 tonnes to micrograms.\nAnswer: 849155200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -38*w**5\/5 + 72*w - 16. Differentiate l(b) with respect to b.\nAnswer: -152*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 80, -6 in increasing order.\nAnswer: -6, -2, 2, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/64 of a millisecond?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**2 + 18*c - 12. Let q be o(8). Suppose q*k - 6*s = -2*s + 20, -k = -2*s - 7. Solve 7 = 2*p - k for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2. Let h(n) be the first derivative of -5*n**3\/3 + 1. What is h(p(s))?\nAnswer: -5*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-6 + (21 - 9))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hos when three letters picked without replacement from hposm.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**3\/7 - 18*c**2\/7 + 440*c\/7 = 0?\nAnswer: -20, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 5:06 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 471 take away 491.92?\nAnswer: -20.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*2418984.\nAnswer: -48379.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -3*b - 5*f + 2, 2 = f. Let t(j) = j**2 - 4*j - 4. Calculate the remainder when 26 is divided by t(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -162*r**3 + r**2 - 8*r + 4. Let o be j(6). What is o rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sn when two letters picked without replacement from {n: 3, o: 1, s: 1, l: 3, a: 1, y: 2}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 30, 90, 138, 168, 174, 150?\n\"Answer: -g**3 + 67*g - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8020, -8197, -8494, -8911?\nAnswer: -9448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.077174384 to three dps.\nAnswer: 0.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 88 + -65. Solve 0 = -4*m - 7 + c for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-2\/13)\/u)*u\/((u**(2\/7)*u)\/u))\/(u*u**(1\/7)\/u*u**(6\/11)) assuming u is positive.\nAnswer: u**(2182\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*g**2*q**4 - 20*g**2*q + 2*g**2 - 43*g*q + g - 62*q**4 wrt q?\nAnswer: -84*g**2*q**2 - 744*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 at most as big as 0.163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4902*v + 9802*v - 28*v**2 - 4900*v + v**2.\nAnswer: -27*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -0*a + 3. Let k(j) = -2*j - 4 + 10 + j. Determine k(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 m, 1 o, and 1 u when four letters picked without replacement from {m: 1, u: 1, o: 1, i: 3, a: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -121 + 119. Is u*(-36 + 2)*1 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5133500 to the nearest 100000.\nAnswer: 5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 5*d = -220, -g - 13*d + 42 = -10*d. Solve 5*t - 50 = -g for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 10 = 5*l - 4*l, -5*l = -5*f + 40 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 5915.060395 to the nearest ten.\nAnswer: 5920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 131667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y\/(y\/((y**(-2\/15)\/y)\/y*y*y*y))*y))*y)**(2\/49)\/(y**(-2\/5))**(-29\/2) assuming y is positive.\nAnswer: y**(-4177\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - z**2 - 5*z - 3. Let x be g(-3). Let f be 64\/x + 6\/(-45). What is the common denominator of 143\/20 - f\/8 and -89\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**6\/v*v*v\/((v\/((v\/v**5)\/v))\/v)*v**(1\/4)*v**(2\/5))\/(v**(1\/3)*v\/v**(1\/5))**2 assuming v is positive.\nAnswer: v**(23\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n + 21*n + 2*n)*(-n - n + 0*n - n + 2*n + n + (2 + 0 - 5)*(n - 2*n + 0*n) + 7*n - 4*n - 2*n).\nAnswer: 108*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3596*s**2 + 1 - 1 + 3601*s**2 - 7187*s**2.\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -1, -9, 7 in descending order.\nAnswer: 7, -1, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*w + 4*t + 8, 3*w - 3*t - 21 = 0. Let o be 24\/11 + 5\/(55\/(-2)). Suppose 4*i = o*i + w. Sort i, -5, -2 in descending order.\nAnswer: i, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/1 - (-3)\/(-1). Factor 2 - 4*g**3 - 10*g - 3*g**4 + h*g + g**5 + g**5 + 5*g**4 - 4*g**2.\nAnswer: 2*(g - 1)**2*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 4 - -2 - 7) + -15\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**4 - 92*g**3 + 198*g**2 + 288*g.\nAnswer: -2*g*(g - 3)*(g + 1)*(g + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 132 = h. Let b = -31 - h. Let q = b - 16. Is q a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64 + -64.37. Let y = p + -0.03. Which is the closest to -3? (a) y (b) 4 (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 5*c - 47. Let k be j(23). What is k rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((13 - (-560)\/(-35))*(-4)\/1380)\/(3\/(-10)).\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1943918*q - 2 + 1 - 1943921*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 28, 105, 232, 409, 636?\n\"Answer: 25*w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -38 + 0*g**2 + 0*g - 1\/7*g**7 + 0*g**5 - 1\/3*g**6 + 0*g**4 + 61\/3*g**3. Find the third derivative of l(f) wrt f.\nAnswer: -120*f**3 - 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 2*g = 5*n + 476496, g - 2*n - 119121 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6643320.\nAnswer: 2, 3, 5, 23, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -55. Let w be (-2)\/7 + a\/(-14). Let z = w - -6. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -p**6\/120 - 2*p**5\/15 - 7*p**4\/24 - p**3 - 2*p**2 - p. Let u(j) = 2*j**3 + 3*j**2 + 3*j + 3. Let v be u(-2). Give z(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001111 - -101100001000?\nAnswer: 101110010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -12*n**5 - 17852*n**4 - 311748*n**3 - 158292*n**2 + 687824*n - 199920 = 0?\nAnswer: -1470, -17, -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 69525300851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12.5? (a) -12.6 (b) -0.3 (c) -1\/6 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of i**4\/4 + 7*i**3\/3 + 5*i**2\/2 + 7*i + 2. Calculate h(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1804303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*p - 20*p = 12. What is the remainder when 119 is divided by 9 + (-12)\/(-1 - p)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*g - 4 = 0. Let d = -18\/7 + 17\/7. Which is the second smallest value? (a) 0 (b) g (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83 + 1099*q + 1076*q + 83 - 2216*q.\nAnswer: -41*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2373 and 12?\nAnswer: 2385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - m**2 + 11*m + 17. Let f be z(-3). Suppose 4*y - 1264 - 22107 = 3*i, 5829 = y + f*i. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1882, 1897, 1944, 2041, 2206?\n\"Answer: 3*w**3 - 2*w**2 + 1881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18242 and 448.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1913*z + 142600 = -1775*z + 2456 for z.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + j**2 + (j - 2*j + 0*j)*(-j + 0*j + 2*j) + j**2 - 4*j**2 + j**2 + 0*j**2 - j**2 - j**2 - 2*j**2 + 2*j**2 - 2*j**2 + (0 + 0 - j)*(0*j + 2*j + 0*j).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/((-27)\/(-12)))\/((-6752)\/121536)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-6))\/((-4)\/240). Let s = -25 + h. Suppose 4*k + 3*o - 17 = 2*o, -5*o = k - 9. Solve -l + s*l = -k for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9a - 133b?\nAnswer: -1291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67476 by -16869.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 9 - (-40 + 23) - (-7 - 1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91 and 918281.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159*f - 3 - 5 + 8 - 28*f.\nAnswer: 131*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8397929 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32.4 + -27.4. Let d = -1.1 - -0.1. Suppose 2 + 0 = -2*j. What is the nearest to d in o, j, -3\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.3444 to 2 dps.\nAnswer: 2.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 120*m - 2171. Let s be i(18). Let q(h) be the third derivative of -h**4\/24 - 11*h**3\/6 - 4*h**2 - 4*h. What is q(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -f**5\/120 - f**4\/8 + 5*f**3\/6 - 3*f**2. Let y(b) be the first derivative of d(b). Give y(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4*q + 3. Let a be d(5). Suppose -a = 5*v + 202. Calculate the common denominator of 51\/2 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -44400 + -4110?\nAnswer: -48510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(18)\/sqrt(6)*5)**2.\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -90*a - 443. Determine f(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 7:02 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36*43\/(-1548)*43.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*g - 5 = 47*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57 + 15. Is 12 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 39*t + 52. Let i be v(-5). Let k = i - -147. Let q(c) = c**2 - 4*c - 2. What is q(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqddqqqqdqdqqdq. What is prob of sequence dqdd?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 23, -4 in decreasing order.\nAnswer: 23, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16237*u**3 - 9304 wrt u?\nAnswer: 48711*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 13*n**2 + 15*n + 17. Suppose -48 - 8 = 4*d. Let s be w(d). Factor 3*j**2 + s*j - 3 - 3*j + 0*j.\nAnswer: 3*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2429265 - 2429265 + x**3 + 60*x.\nAnswer: x**3 + 60*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(1\/2)*o*o)**(26\/3) assuming o is positive.\nAnswer: o**(91\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 105718, 105738, 105758, 105778?\n\"Answer: 20*y + 105698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t**3 - 3*t**2 + 3*t. Let a be l(1). Let u = 16 - a. Calculate the smallest common multiple of u and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 48404*m**2 + 2 - 5 - 48408*m**2.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**3 - 2*i**3 + 3*i**3)*(-2026 + 5413 - 2389).\nAnswer: -1996*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33 by 7.\nAnswer: -33\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -14545 equal to 78.48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -1\/2, 8, 2\/11 in ascending order.\nAnswer: -3, -1\/2, 2\/11, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8\/121 - -1024\/847. Solve -6\/7 - 2\/7*q**2 - u*q = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -12*a**2. Let r(y) = 76*y**2 - 40*y**2 - 17*y**2. What is h(r(f))?\nAnswer: -4332*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*p - 0*g + 514, -271 = -p - 5*g. List the prime factors of p.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -4*x**2 - 323*x + 3332. What is f(-90)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4054372185?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 888 divide 890457096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6213 - 6194. Calculate the remainder when 79 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -221*n + 98. Let k(o) = 43*o. Calculate r(k(j)).\nAnswer: -9503*j + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1 + (0 + sqrt(1700) - sqrt(85)\/(sqrt(5)*2)))*-3.\nAnswer: -57*sqrt(17)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 102*o**2 + 911*o - 827. What is p(-92)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 3*k - 30. Let m(g) be the first derivative of -1\/3*g**4 + 2\/3*g**2 + 2\/15*g**k + 0*g**3 - 3 - 2\/3*g. Factor m(t).\nAnswer: 2*(t - 1)**3*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26475047 - -2?\nAnswer: 26475051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + 4 + (59 - 7) - -16.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 15*u + 26. Let m(o) = 7*o + 13. Determine -7*m(c) + 3*w(c).\nAnswer: -4*c - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 101*a + 8485. Let r be v(-84). Let s(k) = 7*k**2 - 21*k - 21. Let l(t) = t**2 - t - 1. What is r*s(b) - 21*l(b)?\nAnswer: -14*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1*(-2)\/(-3))\/((-4)\/(-162)). Let c(y) = y**2 - 2. Let m be c(2). Suppose -m*f + 18 = -f. Calculate the highest common factor of b and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3517.6331 to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b6b (base 12) in base 13?\nAnswer: -2441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 640 + -172. Does 12 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 3*f**2 - 4*f - 3. Suppose 0 = -g - 3 + 8. Suppose -3*n - 3*c = 2*n - 32, g*c - 16 = n. Calculate w(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3, 7, 23, 45, 73, 107?\n\"Answer: 3*l**2 + l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 1434*j. Let x(v) = -65*v**2. Let q(o) = 184*o**2. Let s(u) = -6*q(u) - 17*x(u). What is s(h(n))?\nAnswer: 2056356*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 33*m. Let t be (-2 - -4) + 54\/9. Let p(u) = 4*u - t + 0*u + 8. Give x(p(c)).\nAnswer: -16*c**2 - 132*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (3 - 6 - 8) - 2 - 3) + -8\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0\/1)\/(-2))\/(11\/(-33)*-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 9*r**3 + r**2 - 4*r + 4. Let y be a(1). Suppose 5*x + 4 = 4*x. Let b = x + 6. Solve 4*o = -b + y for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (70 - 70 + 13*j**2)*(-6*j**2 + 2*j**2 - 37*j**2) to the form z*j**3 + v*j**2 + w*j + i + d*j**4 and give d.\nAnswer: -533","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/828 + (-1700)\/11040?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 117\/27 - 2\/6. Suppose 0 = -4*y + 5*f + 2, 4*y - n*f = 4. Put 2, -2\/3, y in descending order.\nAnswer: y, 2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 2 = -3, 47088*m + 5*v + 8 = 47090*m + 27 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99233007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 69435529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/(-11) + (1 - -1). Let s = -0.6 + 0.7. Which is the closest to s? (a) 2 (b) p (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 16*n**2 + 6*n - 86. Let w be m(16). Let p(t) = -6*t + 13. Give p(w).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - 29. What is the second biggest value in -2\/13, -2\/21, z?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 39*x + 1. What is the units digit of o(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*m + 725 = 0, -8*m + 7*m = c + 188. Let k = 103 - c. Let n = 19 + 13. Calculate the greatest common divisor of n and k.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32773\/9564 - 8\/797. Suppose 17 = 2*f + 433. Let r = f - -819\/4. Calculate the common denominator of y and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 443354096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 - 2*f**2 + 3 + 2*f**3 + 5 + (-1 + 3*f + 1)*(5 - 5 - 9*f**2).\nAnswer: -25*f**3 - 2*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -1 - (8 + (-175)\/28) - 2?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10507 - 10507 + 18*o.\nAnswer: 18*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-10)*q*(q*q*q**(-4\/7)\/q*q*q)\/q*q*(q\/(q**3*q))**6 assuming q is positive.\nAnswer: q**(-172\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 298*a**3 + 4*a - 24. Let h(y) = -99*y**3 - y + 8. Let s(r) = -11*h(r) - 4*n(r). Find the second derivative of s(w) wrt w.\nAnswer: -618*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -20 + 6 + -6 - (0 + -9)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 - 5*l + 5*l + 2*l**2 - 235025*l**3 + 233840*l**3.\nAnswer: -1185*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 701.3 + -745. Let r = -47 - -3. Let q = d - r. Sort 4, 11, q in decreasing order.\nAnswer: 11, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.56 + -0.2. Let g = j + 0.04. Suppose -2*s - 801 = 4*f - 813, 5*f = 20. What is the third biggest value in 27, s, g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46 - 46 - 6*i)*(-3*i**3 + 4*i**2 - 4*i**2).\nAnswer: 18*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -9. Let x = f + 0.7. Which is the closest to 1? (a) x (b) 2\/7 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22884 or -22599?\nAnswer: -22599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((-3 - -3) + 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 768 and 22752.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 197 + 1080. What are the prime factors of z?\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*d + 4*w + 14, -4*w + 36 = 2*d. Find the second derivative of -5*b + 12*b + 4*b**2 + d*b**2 - 3*b**2 wrt b.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -458 by -312233.\nAnswer: 458\/312233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*12\/(-8) + (-143)\/(-22). Let s(i) = 0*i - 4*i - i - 4*i**2 + 7 + i**3. Calculate the remainder when 26 is divided by s(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3750, -6206, -8658, -11106, -13550, -15990?\n\"Answer: 2*i**2 - 2462*i - 1290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 256, 257, 258, 259, 260?\n\"Answer: s + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of c**6\/120 + 7*c**5\/60 - 5*c**4\/12 + c**3 - c**2. Let q be u(-8). Let o = -19 + q. Solve o*y + 2 = y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*y**2 + 23*y - 2*y**2 + 5*y.\nAnswer: 4*y*(y + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1281, -1286, -1303, -1338, -1397, -1486, -1611?\n\"Answer: -m**3 + 2*m - 1282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 10022111 (base 3) to base 7\nAnswer: 10021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12759 (base 13) to base 8\nAnswer: -102644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.111 + 0.061. Suppose -2*d + d - 158 = -3*f, 3*f - 143 = -2*d. Let n = -48 + f. What is the second smallest value in 0.1, n, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.87256 decades in months?\nAnswer: 1424.7072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 6*m + 2. Let k be y(-2). Round k to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 458*g**2*l*q**3 - 2*g**2*l*q**2 - 3956*g**2*l + 8112791*g*l - 2*l*q**3 wrt g?\nAnswer: 916*l*q**3 - 4*l*q**2 - 7912*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**5 + 2*n**5 + 0*n**5 + (2 - 5 + 2)*(7*n**5 + 0*n**2 + 0*n**2).\nAnswer: -4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uitiuxrxiu. Give prob of sequence ii.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18 - -5997841?\nAnswer: 5997859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/7 or 29034?\nAnswer: 29034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -4*q - 1. Let f(m) = 16*m + 4. Let l(o) = 2*f(o) + 9*g(o). What is the tens digit of l(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 0*v + v + 0*v. Let d(s) = s**3 + 5*s. Let n = -20 + 21. Suppose -579*a + 659*a + 400 = 0. Determine a*j(b) + n*d(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cnnwwwcnncwcwccnnww. Give prob of sequence nwn.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 8*p - 83. Let v(x) = 11*x - 124. Let s be v(10). Let o be m(s). Put o, -0.11, 0.2, -5 in descending order.\nAnswer: o, 0.2, -0.11, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32 at least -42974\/1401?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/14052719 and 43\/7824.\nAnswer: 674530512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m + 3. Determine o(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 102805 a multiple of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3*r = 894, 4*r + 333 = -2*u - 287. Let h = u + 893. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 1 - 9. Let u be (1\/(-2))\/(y\/(-12)). Solve u*w = 9 - 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 88 + -88.0099. Round r to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/187 and 71\/2295?\nAnswer: 25245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4557871.\nAnswer: 43, 105997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -257403.68 and -0.24?\nAnswer: 61776.8832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**3 + 1003*d**2 + 2325025*d + 2324021 = 0.\nAnswer: -1103, -1, 2107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*r**2 - 24*r**2 + r**4)*(0*r + 3*r - 4*r)*(-14 - 155 - 122).\nAnswer: 291*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 220*x**4 - 48821*x**3 - 645079*x**2 - x - 39?\nAnswer: 5280*x - 292926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3469 - 3525.68. What is h rounded to the nearest integer?\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/7)*n**5*n*n)\/((n*(n*n\/n**0*n)\/n*n)\/(n\/(n*n**(-2\/15))*n))*((n**(1\/3))**(4\/9))**(-24\/5) assuming n is positive.\nAnswer: n**(1168\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.025911 and -235835.\nAnswer: -235835.025911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence php when three letters picked without replacement from {h: 5, p: 8}?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.598 - -5.698. What is the biggest value in 3\/2, v, -43, 5, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14*36\/9 - -5*3\/15. Solve -u = -j + f - 59, 2*u - 7 = 3*j for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -122 by -5.\nAnswer: 122\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + c = 5*c + 62, -3*c = -2*x - 76. Suppose 5*s = -0*s + 5*k - 150, -2*s - 5*k = 81. Let l = s - x. Solve 7 = -a + l for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182285631?\nAnswer: 3, 11, 41, 44909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -1 - (-5 - 2) - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*23663.\nAnswer: 520586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.3 + -2. Let g = -0.4317 + 0.6317. Sort g, v, 23 in decreasing order.\nAnswer: 23, v, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33322234 divided by 6?\nAnswer: -16661117\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 550783 + -778807203\/1414. What is the common denominator of 68\/303 and o?\nAnswer: 4242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35.4 - -0.4. Let j = -34.892384557 + -0.107613743. Let i = y - j. What is i rounded to 7 decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4075 is divided by 66.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 18248253 - 3\nAnswer: 18248250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -0*r. Suppose i - 5*p + 17 = r, -4*i - 2*p = -2*i - 26. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 5*v + 24 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 351*q**2 - 3*q - 24. Let u(l) = -1054*l**2 + 9*l + 72. Let g(s) = -17*j(s) - 6*u(s). Let k be g(8). Round k to the nearest 1000.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1006 - -1069. Solve -6 = -d*m + 57*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v**(1\/17)*v)*v*v*v\/v**(-1\/10)*v assuming v is positive.\nAnswer: v**(687\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*s**3 + 963 + 3*s + 958 - 1921 - 5*s.\nAnswer: -59*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 277 + 518 = 5*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1777123, 3554222, 5331321, 7108420?\nAnswer: 8885519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**4\/7 + 3544*z**3\/7 - 934911*z**2\/7 - 9741274*z\/7 + 10672640\/7 = 0.\nAnswer: -3790, -11, 1, 256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 382660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3021.15801927 and -6.4?\nAnswer: 3014.75801927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 89986318 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6176625 divided by -2715\nAnswer: 2275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11311056*s**4 - s**3 - 2*s**2 + 4920948*s?\nAnswer: 271465344*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1088312 and 312.\nAnswer: 42444168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k - 7*p + 12*p + 25, -5*p = -5*k - 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.077709 - 19952.\nAnswer: -19952.077709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -319*r - 2224. What is the remainder when a(-38) is divided by 198?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 + 110425*b - 374283120.\nAnswer: -5*(b - 17904)*(b - 4181)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (26 - (22 - -1)) + -38\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(1053) - (sqrt(1053) + (sqrt(1053) + -3 + (sqrt(1053) - (-4*sqrt(1053) + sqrt(1053))**2) - sqrt(1053)))).\nAnswer: -37920 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -174455 less than -174453?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (84 - 83)\/((-7)\/196 - (-4)\/14). Solve -37 = -b*w - 5*d, -d = -5*w - 6*d + 40 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 90 + -86. Suppose j = m*s - 0*j - 23, 14 = 3*s - 4*j. What is the highest common factor of s and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6789404827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -25 (c) 3 (d) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4879873227*f**2 - 4879873227*f**2 + 3*f - 3*f + 27*f**3 - 2.\nAnswer: 27*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1708846350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1104?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**5 + 100*t**4 + 3115*t**3 + 12490*t**2 - 34700*t + 19000 = 0.\nAnswer: -10, 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and 0.208.\nAnswer: -1.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -202, -180, -158?\n\"Answer: 22*u - 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - y**2. Suppose 38 = 5*k - 17. Let q = 12 - k. Suppose -a - q = -3. What is z(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31325818350458.0549977 - -31325817080382. Let w = 1270076 + l. Let a = -0.055 - w. What is a rounded to 7 dps?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 2*h. Let y be h - -1*(-2)\/(-6). Let k be 0 + (-2 - 2\/(-3)). What is the third smallest value in k, 0.4, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3224*r + 19610 = -714*r + 98370. Suppose -5*s = 5*v - v + 5, 4*s = -2*v - 4. Calculate the least common multiple of r and -24*((s - -2) + -2).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17783 + 69073 = 77*h. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z - 5. Let w be a(5). Let k(o) = o + 13. Let q be k(-11). Suppose -v + q = -w*v. Sort -2, v, 4.\nAnswer: -2, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqn when three letters picked without replacement from {q: 2, n: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.2027 and 2.6.\nAnswer: 4.8027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 601295800?\nAnswer: 2, 5, 7, 429497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -174, -142, -112, -84?\n\"Answer: -k**2 + 35*k - 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -3\/20*n**5 - 1\/3*n**3 + 0 - 216*n**2 - 1\/105*n**7 + 0*n + 55\/12*n**4 + 0*n**6. What is the second derivative of u(p) wrt p?\nAnswer: -24*p**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 133.9 - 134. Let i(u) = 3*u**3 - 2*u + 1. Let k be i(1). Which is the second biggest value? (a) q (b) 6 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 8816 = -2151. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -n**6\/120 - n**5\/10 - 49*n**4\/24 + 10*n**2. What is the second derivative of v(t) wrt t?\nAnswer: -6*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 456*y**2 + 116*y - 3133. Is s(45) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + 28. Let k be 1 - y\/(9\/(-20)). Let u be (-7)\/k*-9*1. Solve v = 3*z + 16 + 1, u*v - 27 = 3*z for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1377759 is divided by 1416.\nAnswer: 1407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 5*b - 333 = -7*b, -5*b = 0. Let l = y + 122. What is the remainder when 42 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -10*k + 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.178001cm in kilometers?\nAnswer: 0.00003178001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.005, 3, -6\/11, 5?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 317484821*r**2 - 77732649*r wrt r.\nAnswer: 634969642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.06, 8, 46, 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/5)\/(8\/(-20)). Suppose -w*p = -p - 1, 410 = 5*g - 5*p. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58726555?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 523 divide 966599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 3.2\nAnswer: -1.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of 14*t - 5\/12*t**4 - 6*t**2 + 0*t**3 + 0. Differentiate x(u) wrt u.\nAnswer: -10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y - 8. Let s be h(-4). Suppose 0*i - i = s. Suppose -20 = -5*u - f, -4*u + 3*f + 16 = -i*f. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxv when three letters picked without replacement from vvxvvxxvxvxxvxxxxvvx?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -99 and -532380?\nAnswer: 532281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 6*h + 6. Let l be n(-5). Suppose 85*i - 631 = -206. Let u = 31 - 11. Solve -i*s + 4 + l = 4*w, -4*w - u = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 4*l**2 + 39*l - 9. Let p be o(0). Which is the smallest value? (a) -2 (b) -49.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 10*o + 1. Let b(q) = -7*q**2 - 48*q + 36. Calculate b(d) - 5*n(d).\nAnswer: -2*d**2 + 2*d + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22301 and 2697?\nAnswer: 2073993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -142, -215, -288, -361?\nAnswer: -434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7b7763a - -9?\nAnswer: -7b77631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 37 and -857.4.\nAnswer: -820.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*c**2 + 22*c**2 - 1437 + c + c**3 + 1437 to the form l*c + n*c**2 + h + b*c**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 136 + 128. Is p a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3*sqrt(242) + sqrt(242) + -5)**2 - (-6*(5 + (sqrt(32) - (sqrt(32)*1 - sqrt(32)))))**2.\nAnswer: -1352*sqrt(2) - 1080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 0*v - 2*v**2 + (-1 + 4 - 2)*(4*v**2 - 3*v**2 + 0*v**2) + (-3*v + 0*v + 4*v)*(0 + 0 + 2*v))*(3 + 6 - 5)*(4*v**2 + 13*v**2 + 5*v**3 - 3*v**3).\nAnswer: 8*v**5 + 68*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-20)\/16 + 2)*12 + (-48)\/(-6). Calculate the highest common divisor of r and 1513.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46056034*b**3*m**3 - b**3*m**2 - b**3*m - 2*b**2 + 3351*b*m**2 + 61 wrt m?\nAnswer: -276336204*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 5, 18?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -4*x + 5. Let a = 87 + -72. Let y be 2 + 6\/9 + 35\/a. What is h(y)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 263500 and 6460.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 5*t + 11. Let y be l(15). Suppose -2*m - 46 = -4*m. Calculate the greatest common divisor of m and y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**5 - 8*w**5 - 8*w**5 + (4*w**3 - 3*w**3 - 2*w**3)*(w**2 - 2*w**2 + 2*w**2) - 2*w**5 - w**5 + 2*w**5.\nAnswer: -14*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21665845.\nAnswer: 5, 367, 11807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 280238, 280246, 280264, 280298, 280354?\nAnswer: 280438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 11) to base 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -120212, -120216, -120222, -120230, -120240, -120252?\nAnswer: -120266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 675500 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.27*6\nAnswer: 1.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*w + 15*w - w.\nAnswer: 75*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 2*q**2 + 7. Let x(n) be the third derivative of 0*n + 0 + 0*n**3 + 1\/8*n**4 - 4*n**2. Calculate x(m(t)).\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5.989 and -0.3.\nAnswer: -6.289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1136 and 4615?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-16)\/(-36))\/(1\/45). What is the greatest common factor of 1660 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 819 - 817. Let w be 9\/(-14) + 2*3\/12. What is the fourth biggest value in l, w, 2\/23, 1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/16*(-92)\/69?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (86\/6 - 10\/(-15)) + 3. Suppose -37 + 2 = 4*h + q, 3*h = 2*q - m. Is (-61305)\/(-20) + 2\/h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - 7)*(-2)\/4. Suppose n = -t - 6, t = -2*t - w*n - 20. Let a(f) = -f + 3. Is a(t) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11685.2 rounded to the nearest ten?\nAnswer: 11690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(-2 - 2 + 0)*(-50*w**5 + 165*w**5 + 91*w**5) - w**2 + w**5 + w**2.\nAnswer: 825*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 3*n - 2*n)*(2*n**2 + n**2 - n**2 - 2*n**2 + 0*n + 0*n + (n + n - 3*n)*(0*n + 2*n + 0*n)).\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + r = -17. Let m(q) = q**3 + 18*q**2 + 17*q + 1. Let g be m(r). Which is greater: 2\/9 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 413 - -2205?\nAnswer: 3022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-6 + 2 + 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-35) + (-5 - (-2 + -3)). What is the closest to 0.6 in 4, c, 0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b + 20691 = 4*b. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 556867 is divided by 7834.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(2\/11)*(i**4*i)\/i)\/(i**(2\/35)*i\/(i*i*i\/(i**(-1)*i))))**(-24))**29 assuming i is positive.\nAnswer: i**(-1641168\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 3*m + 3. Let t be x(-3). Let g be ((0\/1)\/(-1))\/(-1). Suppose g*k + t*k = 15. What is the least common multiple of k and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 14*r = 18*r + 20, 73 = 16*f - 3*r for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1023\/(-155))\/((-7)\/(490\/42)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-6) + 152\/16. Suppose -13650 = -g*x - 4*x. Suppose -8*u + 2975 - x = 0. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28592041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -108570576 divided by -1?\nAnswer: 108570576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-4))**(-23))**(10\/7))**12 assuming c is positive.\nAnswer: c**(11040\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 9*t - 6*t)*(-2 - 1 + 1)*(0 - 1 + 7).\nAnswer: 156*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 761437.8g in nanograms?\nAnswer: 761437800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5228*d**3 - 4*d + 3. Let h = 31 - 30. Is u(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-201)\/21 + 40\/60*(-90)\/42.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 58 - (41 - 43 - -16)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1099192 and 65676722?\nAnswer: 262706888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99*-22.\nAnswer: 2178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -21 - 5 + 5 - 6*b + 5 + 14. Let r(a) = a**2. Give g(r(m)).\nAnswer: -6*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.022968981 to three decimal places.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*d + 8 = 3*o - 92*d, 0 = -d + 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 7*k. Let v be f(-1). Let b = 22.4 - 22.5. Is b != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(9\/(-4942)) - 4. Let x = d + -2348. Suppose 5*l + 5 = -0, -2*l = -4*o + x. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112030 + -1?\nAnswer: -112031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 100946 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23873*b - 15036 = -22620*b for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7580*l**4 + l - 10789.\nAnswer: 30320*l**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -g**6\/120 + 3*g**5\/20 + g**4\/6 + 5*g**3\/6 - 5*g**2. Is f(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -858, -1718, -2578, -3438, -4298?\n\"Answer: -860*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 350.292 days to minutes.\nAnswer: 504420.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2711659.4679 + 1.\nAnswer: 2711660.4679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -8. Let b(c) = -c**2 + 3*c + 3. Let w(l) = -2*l**2 + 5*l + 5. What is v*b(r) - 3*w(r)?\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 823 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 200878243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of d**5\/60 + 13*d**2 + 3*d. Let f(g) = -193*g**2 - 2*g. Give m(f(y)).\nAnswer: 37249*y**4 + 772*y**3 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 124385750 rounded to the nearest 100000?\nAnswer: 124400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(2) + (sqrt(2) - sqrt(8)\/sqrt(4)))*-3 + -1 - (sqrt(36)*-4 - sqrt(4))\/sqrt(2))*6.\nAnswer: -6 + 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 - 17. Let r = 3 - 1. Suppose 69 = r*n - s, 0*n + 5*s = 2*n - 89. What is the remainder when n is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1436 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) -72 (c) 6 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.65 + 0.36. Let v = 5648 - 5653. Is s equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, -19\/30, 0.2, -1\/2?\nAnswer: -19\/30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n**2 + 72*n - 129. Give m(-20).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13.37 + -0.47. Let c = 13 - h. What is the closest to c in 1\/7, -1\/4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30895 - 30592.976. Let j = -301 + c. Let t = j - 0.104. Round t to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**2 + 16*w**3 - w**3 - w**2 - 28*w**3 - 1 + 2*w**4 as g*w**3 + t*w + x + v*w**2 + s*w**4 and give g.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88828, 354980, 798590, 1419676, 2218256?\nAnswer: 3194348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3549164 + 1813353. Let a = c + 1155811. What is a rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, l: 2}. What is prob of picking 1 l and 1 i?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - 22 - (2 + -6 + 0 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i - 72 = -43779*s + 43785*s, s + 3*i = -18 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257*w**2 - 324*w**2 + 230*w**2.\nAnswer: -351*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oomkokkoaoootktm. Give prob of sequence otmm.\nAnswer: 1\/1560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 49, -1, -20, -813?\nAnswer: -813","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*s - 36*s = -5*b + 50, -5 = 3*b + 4*s for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 7 - 5. Let u = -2 - s. Let q = u + 3. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*-5*-4*2\/30\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-23) + 24310\/782. Suppose -i*t = -23*t - 56. Suppose -b - 2*b + 12 = 0. Solve t*o - b*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2398859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q = -17*q + 50 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 0*b - 39 + 3\/8*b**2 - 9\/2*b**3. Factor d(q).\nAnswer: -3*q*(18*q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1762 - 650 = -12*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -604*c**2 - 141*c**2 - 59*c**2 - 7*c**2 in the form i*c + l*c**2 + h and give l.\nAnswer: -811","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 0, 171, 11, -115, -4 in decreasing order.\nAnswer: 171, 11, 3, 0, -3, -4, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 13*i**3 + 30*i**2 - 21*i - 23. Let q(s) = 21*s**3 + 45*s**2 - 31*s - 35. Suppose -5*o - 115 = 18*o. Let u(v) = o*q(v) + 8*w(v). What is u(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f**2 - 3*f**2 + 2*f**2)*(3*f - f + 3*f + 1) to the form z*f**3 + c + h*f + x*f**2 and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1245504 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 2*z + 2*z)*(-3 + 2 + 2 + 3 + 1 - 5 - 1 + 0 - 1 + (2 - 3 - 1)*(-1 - 1 + 1) - 5 - 1 + 5)*(-140 - 132 + 287).\nAnswer: -60*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28938?\nAnswer: 2, 3, 7, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = g - 15*d + 19*d, 0 = -5*g - 5*d for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + 2*n**3 + n**2)*(-2 + 0 + 5)*(-667*n - 212*n + 71*n).\nAnswer: -4848*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -1436?\nAnswer: 1442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 13157520.7 to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12051612 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -7. Let p be ((5\/4)\/(-5))\/(200\/320). What is the smallest value in v, -15, 0.3, p?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -54 (b) -2\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-39*f - 7*f**3 + 39*f)*(-2 + 0 + 41*f + 2) as j*f**2 + y*f**3 + w*f + b*f**4 + c and give b.\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1005, 8020, 27063, 64146, 125281?\nAnswer: 216480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(2*sqrt(160) + sqrt(160)))\/sqrt(5)*5)**2.\nAnswer: 115200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q*q**(-5\/4)))\/q**4*q**(-6)\/q*q\/q**(-9))**(-1\/19) assuming q is positive.\nAnswer: q**(3\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - 1 - (0 + -8 - -4). Let j be w\/4*-10 + 7. What is the greatest common divisor of 2 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000026377642 to 7 dps.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 688 and 16.4.\nAnswer: 11283.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -483? (a) 9 (b) 4 (c) 13 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 104995493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 to the power of 1\/4, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 7*x = -54. Suppose -4*u - 19 = 5*m, -3*u - 3 = -0. What is the least common multiple of 6 and ((-1)\/m)\/(1\/x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/33)\/(118\/7139))\/((-4)\/(-2)).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z - 2*o, 0 = -8*z + 3*z + 5*o - 30 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*c + 196041 = 195834 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -74608.4546 - -53.9067\nAnswer: -74554.5479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v + 59 = -t + 51, 4*v = t - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 771281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.2 - -10.2. Which is the second biggest value? (a) -7 (b) p (c) -2\/5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**3 + 0*m**3 - 4*m**4 + 1 + 9*m**4 to v*m**4 + s*m**2 + l*m + w + d*m**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of 13*g**4\/12 - g**2\/2 + 2*g. Let i(k) = -k**2 + 8*k + 1. Let v be i(0). Does 6 divide c(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1625 divided by -325.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5128409 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 7*112\/98.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3924 and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1008589 to the power of 1\/3, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 9 = 5*r - 0*r, 0 = 3*z + 3*r - 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -u**4\/4 + u**3\/3 - u**2\/2 - 7*u. What is c(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 2*f = 10, f - 11 = 6*y + 54 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-491105.\nAnswer: -491105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 8:58 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 = 35*h - 118 + 35 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/8 - 6\/(-4). Let p(s) be the third derivative of s**6\/120 + s**5\/60 + s**3\/6 + s**2. Let o(t) = -5*t**3 - 6*t**2 - 6. What is z*o(x) - 6*p(x)?\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - 0. Let m be (1 + f + 0)*1. Is -1 less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(150)\/sqrt(5) - sqrt(30))\/sqrt(10))**2*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (3 - -1)) + (78 - 76)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 4*p**2 + 5*p + 2. Let b be k(3). Suppose -b*l + 90 = 2*l. Suppose 162*o = 159*o + l. Solve -i + 12 = 3*h, -4 = 3*i + o*h - 2*h for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w**2 + 4. Let i = -7 - -4. Is 8 a factor of h(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 5*r**2 - 3*r + 6. Let n(u) = u**2 + 94*u + 188. Let l be n(-92). Give g(l).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**2 - 6*s + 147013. Let i(z) = z**2. What is f(i(w))?\nAnswer: -2*w**4 - 6*w**2 + 147013","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -7*r**2 + r**3 - 3 + 11*r**2 + 6*r**2. Let y be q(-10). Let o be 6 - (0 - -3)\/y. Calculate the highest common factor of 56 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -5. Suppose 0 = -r*x - 3*x - 6. Let t(a) = 6*a - 1. What is t(x)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k - 1. Let t(x) = x**3 + x**2 + 7*x - 14. Let j(a) = -6*d(a) + t(a). Let v be j(0). Let r be (-34)\/v + 4\/(-16). Which is bigger: r or 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 4)*(1 - 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - l - 1192 = 3*m, 2*l - 2*m = -2416. Let i = l + 2421. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.7 from -142.\nAnswer: -141.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/7)*o*o**(-1\/4)*o**(1\/3)*o**(4\/7)*(o**2\/(o\/(o**7\/o*o*o)))\/(o**(-2)\/(o*(o*(o*o**(2\/7))\/o)\/o*o)) assuming o is positive.\nAnswer: o**(1279\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/30 - ((-4888)\/(-120))\/(-13). Solve -2*t + 3*v = -l, 2*t + 2*t - 4*v - 4 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 + 8*l + 6. Let t be y(-4). Let x(b) be the third derivative of 1\/12*b**5 + 1\/120*b**t + 0 - 1\/2*b**3 + 0*b + 3*b**2 + 1\/8*b**4. What is x(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9106.54125 rounded to the nearest integer?\nAnswer: -9107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*n + 4*y, 3*n + 18*y - 21*y = 9. Let b be ((-54)\/8)\/((-1)\/4). Solve -n + b = -5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6*(-1 + ((-126)\/16)\/(-9)). Put 0.2, -3\/2, b, -5\/4 in descending order.\nAnswer: b, 0.2, -5\/4, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-3*(-3 + 3*sqrt(34)\/sqrt(2) + (-2 + sqrt(1088))**2).\nAnswer: -16335 + 435*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 582 is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 3)*(-1150*m + 554*m - 1293*m).\nAnswer: 1889*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + n - 9. Let z be 8 + -3 + -3 + (-1 - 1). Suppose -4*u + 20 = 2*m, 2*m + z*m + n*u = 15. Solve v + m*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-24)*-3*-1*-2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 - -13. Let x(k) = k**3 + 16*k**2 + 17*k + 30. Let l be x(h). Let c be (-8)\/(-10)*(-30)\/(-12). Solve 4*m + 3*a = 0, l = m + 4*a - c*a for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 95*h**3 - 1. Let v be c(1). Is v\/2 + -3 + 2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**3 + 4*w**2 - w + 6. Let q(a) be the second derivative of a**5\/20 - a**4\/12 - a**2\/2 + 3*a. What is -b(r) - 4*q(r)?\nAnswer: -2*r**3 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 743.6469 months in decades?\nAnswer: 6.1970575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 28 and 1544161?\nAnswer: 43236508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w**2 + 4*w**2 - 5*w**2 + (-2 + 2 - 2*w**2)*(13 + 4 + 1))*(-1 + 5 - 3) - w**2 - 3 + 3 to the form y*w**2 + t*w + o and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -87797633 or -87797632?\nAnswer: -87797632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eq when two letters picked without replacement from {b: 1, v: 3, d: 1, u: 5, e: 4, q: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/1266 and -127\/12?\nAnswer: 2532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 5.6. Let f = n + 0.6. Let d = 3.7 - 4. Which is the biggest value? (a) d (b) f (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 5 - 4 - 1 + 11797*a + 6.\nAnswer: 11797*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nvv when three letters picked without replacement from vvvvnnvvvvnvvv?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -g**4\/6 - 5*g**3\/2 - 6*g**2 + 9*g + 1. Calculate a(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7998\/30 - 2\/(-5). Let m = 470 - z. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -13\/2*q + 7\/2 - q**2 = 0. Calculate q.\nAnswer: -7, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 118861219*d**2 + 125347264*d wrt d?\nAnswer: 237722438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1666*b + 831*b - 28 + 823*b as j*b + r and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.033201 to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(200) + 1)**2 + sqrt(40)\/(sqrt(5)*-1)) + (sqrt(16)\/sqrt(32) + sqrt(18)*4)*1 + -4.\nAnswer: -406 - 47*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g**2 - 19*g + 26. Let x be q(3). Solve x*t = -6 - 19 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 415806594 to the nearest integer?\nAnswer: 746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**3 - 2*d + 5. Let x be m(0). Solve -7*r + x = -2*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11270.\nAnswer: 2, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 22 - -11?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -110.3 + 112.6. Which is the third smallest value? (a) 1 (b) f (c) 1\/24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*v - 11 = -51, -3*v = -5*h - 74. What is the tens digit of 2\/h - (-8544)\/104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (0 + -4 + 16 + -22 + 14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/1841 and -143\/168.\nAnswer: 44184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 8. Solve -r + n = -2, -5*r + 2*r - q*n = 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59 and 76644658.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + 30. What is the remainder when h is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, 4, 5 in increasing order.\nAnswer: -1, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3222361 (base 8) to base 6.\nAnswer: -30244025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 12, 6, -2, -105 in descending order.\nAnswer: 12, 6, -2, -5, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 0.03, 814?\nAnswer: 814","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/427 - 5968\/2135. Which is bigger: -0.2 or y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 8:32 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -16*g + 12*g + 16, g + 14 = 4*d. Solve d*s = 11*s - 35 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**3 + 2*y**2 + 0*y**2 + 4*y**3)*(9 + 9*y - 9 + y + 2*y - y + (-5*y - 2*y + 5*y)*(2 + 1 + 0)).\nAnswer: -5*y**4 + 10*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w\/((w**(1\/7)\/w)\/w)*w\/w**(-6\/11))\/(w*w**(-11)*w*w\/(w**9\/w)*w) assuming w is positive.\nAnswer: w**(1648\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -5*f - 5. What is the remainder when 99 is divided by 13 - ((-3 - 0) + f)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -233\/1234461 or 0?\nAnswer: -233\/1234461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -8*n**2 - 7*n - 16. What is w(-2)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2441789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/14)\/((-28)\/98). Suppose v*t - t + 1 = 0. Let o(c) = 49*c**2 + c. What is the tens digit of o(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5*sqrt(6300)*2)\/(((sqrt(63)*1 + sqrt(63))*6)\/sqrt(7))*2.\nAnswer: -50*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2770, -2771, -2782, -2809, -2858, -2935?\n\"Answer: -p**3 + p**2 + 3*p - 2773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 97*m - 330. Let t be h(-81). What is the highest common factor of t and 138?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7751\/585 - 647\/45. Find the common denominator of q and 64\/(-2)*(0 + -1).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4\/13)\/(j**(1\/20)*j)*j**(3\/26)\/j**(1\/3))**(-13) assuming j is positive.\nAnswer: j**(1229\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1334 is divided by 252?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 + -26. Let a(p) = -p + 2. Let s be a(5). What are the prime factors of ((-5)\/s)\/(1\/c)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -16. Let z be (-2)\/7 - 33\/v. Sort 4, 3, z.\nAnswer: z, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 318*m - 4*t - 24 = 320*m, -t = m. Let z = 0.3 - 0.2. Which is the nearest to -2? (a) m (b) 1\/3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*w - 380*w - 21409 - 42447 = 332*w for w.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2. Let k be (3\/2)\/((-6)\/(-8)). Suppose -4 = -2*y + 2*x - 10, 4*x + 107 = -13*y. Let a(q) = -q - 8. What is k*a(h) + y*s(h)?\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 26 = -2*n - i, 0 = 2*i. Let u(f) = 2*f**3 + 25*f**2 - 13*f + 15. Let s be u(n). Solve 0 = -6*a + 3*a - s for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, m: 1, u: 2, z: 2}. What is prob of picking 1 m, 1 n, and 1 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 5*h - 2940000. What is h rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/8 and 199\/1020?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0287, -50.9, -1\/5, 2\/9 in ascending order.\nAnswer: -50.9, -1\/5, -0.0287, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.055, -0.3, -2\/9, -75?\nAnswer: -0.055","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*l, 895*f + 3*l + 2*l + 9 = 886*f + 34 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*s - 2*s + 2*s)*(11*s - 1637 + 1637).\nAnswer: 165*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 602372923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 182 - 525?\nAnswer: -343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 248*b**3*t*w - b**2*t*w**2 + b*t*w**2 + 6*b*w**2 - 10*t*w wrt b?\nAnswer: 1488*b*t*w - 2*t*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -244284, -977520, -2199578, -3910458, -6110160?\nAnswer: -8798684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1012800 to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339 is divided by 50.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 98.9 * 0.06\nAnswer: 5.934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 432815 + -433076.511. Let w = 572 - 311. Let k = d + w. Round k to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kh when two letters picked without replacement from kahkgkahkha.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 112333312102 (base 4) to base 6\nAnswer: 333114334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.4, -0.03, 2, -0.5, 3.279?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -2\/21 (b) 3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -953 times 11\nAnswer: -10483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -222*l**7\/7 + 17*l**3\/3 - 16*l + 1690. What is the third derivative of b(v) wrt v?\nAnswer: -26640*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17008290 is divided by 891?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 12 = -2*x. Let i(r) = -4*r - 10. Calculate the lowest common multiple of x and i(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 42 - (-43 + -38 - -66)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 4 - 20. Find the common denominator of ((38\/(-4))\/((-9)\/12))\/c and 16\/21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38378017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 78\/18 - ((-4)\/6)\/(-2). Suppose -n*q + 119 = 3*q. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3101131 (base 4) to base 12\nAnswer: 7911","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 2*d**2 - 4*d - 2. Let i be 4\/(-10) + 16\/(-10). Let b be v(i). Let a(x) = -2*x + 6 - b. Let s(q) = -2*q. What is a(s(o))?\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1494.9 rounded to the nearest ten?\nAnswer: -1490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -g - 123 + 35, 12 = -4*g. Let v = -5 + p. Suppose v = -0*i + 4*i. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 145*d + 2 + 1969*d + 169*d to c*d + r and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7266840 is divided by 3633203?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9223 - 5839. Does 8 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -59 + 39. Let k be (2 - b) + 0 + -1. Calculate the greatest common factor of k and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**2 - 1 + 1)*(1 + 0 - 3) + 6 - 6 - 4*n**2 + (-1 + 2*n**2 + 1)*(6 + 0 - 2) - 5*n**2 - 6*n**2 + 10*n**2.\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.127612 decades in years?\nAnswer: 61.27612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -86\/89 at least 2.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -6*w**2 + w - 4. Let g(i) = i**2 + 1. Give 11*g(z) + 2*t(z).\nAnswer: -z**2 + 2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*f + 3*f + 16, 3*p = -5*f - 14. Let j(i) = -2*i + 1. Let a(s) = -5*s. Let q(k) = -k. Let w(b) = -2*a(b) + 11*q(b). Calculate p*j(m) - 2*w(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*v + 47*v - 6192 = 373*v for v.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -83 * -2908\nAnswer: 241364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 - 2*p**2 + 2*p**2)*(5*p - 9*p**2 + 11*p**2 - 7*p**2).\nAnswer: 5*p**4 - 5*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 5, -0.5, 2.5, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -187278*k**3 - 11908*k**2 + 6*k wrt k?\nAnswer: -1123668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence thb when three letters picked without replacement from tbthhhbbhb?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -48\/11 - 2\/11*z + 48\/11*z**2 + 2\/11*z**3.\nAnswer: 2*(z - 1)*(z + 1)*(z + 24)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five eighths of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -124.5712 times -0.3?\nAnswer: 37.37136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/4)\/((-6581300)\/(-149600) - (45 + -1))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/20)\/(7*13\/91)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -149 divided by 9\nAnswer: -149\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2139 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 34 - -10?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - ((-4 + -5 - (-18 - -11)) + (-1 - -1))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -2*p, 4*p - 224*l = -219*l + 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -0*v + 12. Let k = v - 2. What is the third derivative of -w**4 - k*w**2 + 2*w**2 + w**2 wrt w?\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-5 + (sqrt(500) - (sqrt(500) - sqrt(500)*3 - sqrt(500) - sqrt(500))*2)\/(sqrt(10)*1*-1 + sqrt(10) - (sqrt(160) + sqrt(10))*5)))**2.\nAnswer: 72*sqrt(2) + 3148\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6816)\/(-2414)*153\/(-18).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 11 + 54 = 4*l, -2*l + f = -19. Suppose 7*d = l*d - 3*d. Factor 2\/7*q + d + 4\/7*q**2 + 2\/7*q**3.\nAnswer: 2*q*(q + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence shf when three letters picked without replacement from ssfh?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**4 + 6*t**4 - 12*t**4)*(0 + 1 - 2).\nAnswer: 10*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2579, -5143, -7707?\n\"Answer: -2564*o - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.278 + 1.278. Which is the closest to k? (a) -0.5 (b) -5 (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -2. Calculate the remainder when 5 is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3245677 is divided by 1098.\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**4\/13 + 2022*o**3\/13 + 256590*o**2\/13 + 984106*o\/13 - 1242720\/13 = 0. Calculate o.\nAnswer: -863, -144, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14465 (base 11) in base 16?\nAnswer: 5028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 220 = g. What is the lowest common multiple of (-4)\/(-6) - 62\/(-6) and 1 + 0\/(g\/5 + -2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/6*(-90)\/(-75).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1053666 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c - 10. Suppose 5*q + 4 = -1. Let h be (q - -6)\/((-15)\/(-18)). Calculate p(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2741 - -46?\nAnswer: 3007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10586 and 201?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*g**3 + 2*g**4 + g**2 + 0*g**4 - 4*g - 35*g**3 as u*g**4 + k*g**2 + a + v*g + p*g**3 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 j when three letters picked without replacement from jjjbeejejeboejoppj?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6791019 and 9366?\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from cccckkkkkkkkhkkhkkc.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14785.000040451 + 14785. What is h rounded to 7 decimal places?\nAnswer: -0.0000405","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + ((-15 - -4) + 5 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 2*v + 5*v + 12, -3*v - 12 = -3*p. What are the prime factors of 15 - -1*(-2 - p)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/5*(-10)\/(-4). Suppose p*l = l + 2. Which is bigger: l or 2\/13?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*c + 5*c + 780 = -6*c for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.68776735 rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-8)\/30)\/((-68)\/(-170)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62824?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 0\/(4\/2). Let i be 6\/s*1*-1. Suppose 1 = i*f - 2*f. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 34 - -205101?\nAnswer: 205135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 53794, 53822, 53850, 53878, 53906, 53934?\n\"Answer: 28*w + 53766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0171584 rounded to three dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*g - 6580 = 124*g + 265*g for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 2159?\nAnswer: -5\/2159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8.95 - -0.05. Let u = -13 + c. What is the nearest to -0.2 in 5, u, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 711, 708, 703, 696, 687, 676?\n\"Answer: -m**2 + 712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -179908 divided by -2?\nAnswer: 89954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of m**8\/840 - m**6\/90 + m**4\/12 + 2*m**3\/3 + 2. Let f(y) be the third derivative of j(y). Factor f(q).\nAnswer: 2*(q - 1)**2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-5))\/((-2)\/(-6)). Let p = -34 - -33.5. Let r = 303\/8 + -3349\/88. Which is the closest to k? (a) r (b) -2\/15 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -303 - 48 = -47*h - 70*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 7:23 PM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {u: 2, c: 9}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 43 = 3*r + y, -4*r = -y - 50. Let p = r - 49. Let q = 70 + p. Is q a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.5*1940.6.\nAnswer: 2910.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1598899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 876 + -507. Suppose -377*l = -c*l - 792. Is l a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 324543006 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 328*g - 4*w - 864, -103*g + 2*w = -101*g + 42 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 - -29.8. Let q = n + 6.81. What is q rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 270\/(-20)*(0 - 2 - (136\/(-24) - -5)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1765 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/(-65))\/(12\/15)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**3 + 3*u**3 - 5*u**3 + 0*u**3 - 2*u**3 + u**3 + 5*u**3 - 3*u**3 - 3*u**3 + (-4 + 4 - u)*(-u**2 + 2*u**2 + u**2).\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -835, -826, -817?\n\"Answer: 9*t - 844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 3. What are the prime factors of q*((-35)\/2)\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37120905 divided by 45?\nAnswer: 824909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -36*m + 18*m + 9*m + 8*m. Let a(i) = -68*i. Give a(z(v)).\nAnswer: 68*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19\/105293 or 1?\nAnswer: -19\/105293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + -1)**2*-3.\nAnswer: -4755 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22516?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28915, -28927, -28939, -28951?\nAnswer: -28963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 16*i - 12*i)*(-2*i + 3*i + 0*i)*(3 + 3 - 5)*(-2 + 2 + 1).\nAnswer: 4*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23083200 a multiple of 2748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -31, 7, -436 in descending order.\nAnswer: 7, -4, -31, -436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.039678 - 374.690322. Let d = a + 378. What is d rounded to 1 dp?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (100\/75)\/(84\/1449)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 125143387 plus -0.1?\nAnswer: 125143386.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 437, 1087, 2171, 3689?\n\"Answer: 217*q**2 - q + 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -24178542?\nAnswer: -24178540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 540\/225*175\/(-15)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 16 = 4*i, -2*z - 3*z + 26 = 3*i. Solve -5 = -z*k + 3*n, -2*k - 3*n + 10 = -7*n for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11012 (base 11) in base 10?\nAnswer: 15985","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 267 * -621.1.\nAnswer: -165833.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8 - 0.2. Is -1 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*n + 30 + 119, 4*i + 23 = -n. Let d = n + 48. Suppose -2*h = d - 15. Solve -h*a = -a - 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/18979722 and -13\/37959444?\nAnswer: 37959444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 5*o + 20, 5*o + 3 = -17. Let r be (y - 1)\/(1\/(-44)). Suppose -r - 1 = -5*t. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -428*h + 5517 + 936 = -2195 - 9756 for h.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11607\/11 + -1056. Calculate the common denominator of l and -80\/99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in days?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 6*j + 7. Let c = -3 - -11. Let t be o(c). Let l = 3 - t. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -937*d**6\/60 + 103*d**5\/60 - d**4\/3 - 1653*d**2. Find the third derivative of q(u) wrt u.\nAnswer: -11244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304067 = -p - 995933. Round p to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226892?\nAnswer: 2, 131, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 24430*n**2 - n + 137. Let u be m(29). Let d = 903406 + -31349144. Let s = u + d. What is s rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3716*h**3 - 815*h + 4 wrt h?\nAnswer: 22296*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w - 5. Let g be l(7). Let c(o) = -o**2 - o. Let i be c(0). Suppose 5*t - 788 + 68 = i. What is the greatest common divisor of g and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.1, 2, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.15 + -0.2. Let m = 0.05 - x. What is the second smallest value in -2\/15, -5, m?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 53022, 105433, 157244, 208455, 259066, 309077?\n\"Answer: -300*c**2 + 53311*c + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 10:34 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00457 rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 0*r = -2*r + 10, -n + 3*r = 15. Let c(g) = 5*g + 19. Let y(k) = -2*k - 9. Let q(o) = 3*c(o) + 7*y(o). What is q(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7732.598ng to grams.\nAnswer: 0.000007732598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212 + 22212?\nAnswer: 22000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 17*i + 6. Let t(g) = -43*g - 14. Let w(q) = -7*l(q) - 3*t(q). Let y(u) = u + 291. Calculate w(y(v)).\nAnswer: 10*v + 2910","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 16*f + 8. Suppose 64 - 74 = 2*p, 3 = 2*d - 3*p. What is k(d)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 7*k**2 + 7*k. Let v be w(-6). Let r be v\/30 - 68\/10. Put -2, r, 3 in descending order.\nAnswer: 3, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 1 - 3)*(-c + 2*c - 4*c)*((1160 - 10485 - 4412)*(5 - 1 - 1) + (-4 + 2 + 0)*(3 - 4 + 2)) as g*c + t and give g.\nAnswer: 247278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -978, -526, 228, 1284, 2642, 4302, 6264?\n\"Answer: 151*c**2 - c - 1128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/15*-3 - (0 - -2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*88\/77)\/(((-20)\/(-50))\/((-7)\/5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 191 + 171. Let h = 39 - 37. Suppose h*m + 5*i + 28 - 216 = 0, -4*m - 3*i + y = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46 - 283 - 181 + 81 - 51)*(-3*o**4 - 3*o**4 + 7*o**4).\nAnswer: -480*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66446, -66505, -66680, -67031, -67618, -68501, -69740?\nAnswer: -71395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, a: 2, m: 1, o: 6, f: 3}. What is prob of sequence fa?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 4. Let d be c(-2). Let t(u) = 4*u + 3. Let h(k) = -1. Suppose 2*y + 105 = 23*y. Let q(m) = y*h(m) + t(m). Determine q(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -z**4\/42 + z**3\/3 + 71*z - 1. Suppose j(l) = 0. Calculate l.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2364*y - 2153. What are the prime factors of q(-17)?\nAnswer: 5, 7607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5*b. Let h be y(1). Let z be 158\/12 - h\/30. Let p = -8 + z. Let u(a) = -3*a**2 - 3*a - 9. Let m(t) = t**2 + t + 4. Calculate p*m(c) + 2*u(c).\nAnswer: -c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h - 31. Calculate t(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 650 and 531635?\nAnswer: 5316350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 71507\/2 or 35753?\nAnswer: 35753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, -1\/4, 4, -1, -25\/6, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 334.27296 minutes in days?\nAnswer: 0.232134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*m - m + m)*(-2 + 3 + 1) - 2*m + m + 0*m + 3 - 3 + 2*m + (0 - 2 + 5)*(30 + 2*m - 30))*(15*m**3 + 8*m**3 - 16*m**3).\nAnswer: 77*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 + -11?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, p: 1, m: 4, a: 4, z: 1, t: 4}. What is prob of sequence tta?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 191503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7044111.\nAnswer: 3, 260893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 101111110000110001100011 (base 2) to base 11\nAnswer: 7081966","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.13 (b) -6 (c) -2\/225\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 57493210.\nAnswer: -3\/57493210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1470 + -685. What are the prime factors of s?\nAnswer: 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 1. Suppose w = 3*m - m + 4*a - 34, -5*m - a + 121 = 0. Suppose -m = -3*g + 11. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gzz when three letters picked without replacement from {z: 2, b: 1, r: 1, g: 4, l: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1179 + -1131. Calculate the remainder when 281 is divided by a.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3906\/(-9765))\/(12\/45)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 25 = -2*k. Suppose p = 1 + 5. Suppose p*c = k*c - 5. Put c, 2, 3 in increasing order.\nAnswer: c, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 1.9. Let k = 0 - -0.2. Suppose -275*w - 114 - 161 = 0. What is the closest to x in -2, w, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 5:10 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -5*q + 40. Let p = 9021 - 9021. Solve p = -10*f + 4*f + q for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 1:08 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 4:20 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/22 and -83\/232.\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 + (-2 + -3 + 5 - (-798 - -818)).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 256.2535ml in litres?\nAnswer: 0.2562535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 9\/10 of a day?\nAnswer: 1296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence djdj when four letters picked without replacement from {j: 9, d: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 176486, 705949, 1588396, 2823833, 4412266?\n\"Answer: x**3 + 176486*x**2 - 2*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.3, -0.29 in descending order.\nAnswer: 0.3, -0.29, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06*-0.02.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 88*n - 468. Calculate y(5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77235 is divided by 314.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.031 and 262.5.\nAnswer: 8.1375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -103784, -207170, -310556?\n\"Answer: -103386*j - 398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of d**6\/300 - 12*d**5\/25 + 144*d**4\/5 - 4608*d**3\/5 + 4*d**2 + 14*d. Determine c so that t(c) = 0.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 10 - 1 = -5*r, -12 = 4*s. Suppose 3*m - m - 2060 = r. What is m rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -0*m + 8*m + 4*m. Sort m, -0.04, -2, 0.2, 2\/3 in decreasing order.\nAnswer: m, 2\/3, 0.2, -0.04, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 0.1 (c) -1\/3 (d) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-4)*(-32)\/108*(2 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12436?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 99821428009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 251541 and 0.157.\nAnswer: 251541.157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-13)\/(-39))\/((-206)\/(-12)). Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -373*1 - (2 + 0). What is the remainder when 40 is divided by (-1)\/(-6) + m\/(-18)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 0.2 (b) -1\/2 (c) -19616\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4*sqrt(77)\/sqrt(7) - (0 + sqrt(11) + -2))*-6.\nAnswer: -30*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g + 20. Let c(o) = -3*o**2 + 30*o - 27. Let i be c(9). Give f(i).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2386593421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2747, -5569, -8393, -11219, -14047, -16877?\n\"Answer: -s**2 - 2819*s + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4*m - 18*m + 9*m**3 + 5 - 5*m**2 + 10*m**2 + 22*m. Let c(x) = -13*x**3 - 8*x**2 - 8. Give 5*c(v) + 8*h(v).\nAnswer: 7*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -12151 divided by -11146\nAnswer: 12151\/11146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 10:47 AM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 9*w + 130 = 0. List the prime factors of w.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 7*t**2 + 121*t - 804. Give p(7).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a meter in millimeters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4722\/7 + -675. Let v = -4 - 1. Which is the third smallest value? (a) v (b) -4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1625 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1942418256?\nAnswer: 2, 3, 47, 861001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1031 - -1?\nAnswer: -1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 158 + 3347*k**2 + 8*k**4 - 3340*k**2 - 157 + (0 - 2*k**3 + 0)*(0*k + 5*k - 4*k) to b*k**4 + p + s*k**3 + j*k**2 + z*k and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -n**4\/8 + 10*n**2 - 9*n. Let f(l) = 5*l + 6. Let u(a) = -6*a - 5. Let b(j) = -5*f(j) - 6*u(j). Calculate r(b(w)).\nAnswer: -33*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1106 - 189 = 51*s - 20 for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -480 divided by 48.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-226)\/(-5))\/(((-5)\/(-175))\/(-1)). Let g = -1080 - q. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 162535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 5:58 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 6*x + 1. Let j be k(0). Let u = -6 + 4. What is the units digit of (u*4\/(-8))\/j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -5528597?\nAnswer: -4\/5528597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5337540717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -2*j**3\/3 + 1. Let t(v) = 3*v + 18*v - 13*v - 10*v - 4*v. Calculate t(s(q)).\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 13*s**2 - 18*s - 5. Let p be z(-14). Let 240*u - 61 - p*u**2 + 28 + 3*u**3 - 159 = 0. What is u?\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7662195 to the power of 1\/3, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1057708359 to the nearest integer?\nAnswer: 1019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**3 - 4*m**2 + 4*m**2 - 297*m - 23*m**3 + 297*m + (3 + m - 3)*(-2*m + 2*m**2 + 2*m) to c*m**2 + a*m**3 + p + b*m and give a.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 6 + 2. Let z(u) = -7*u**2 - 6*u**m + 14*u**2 + 6*u - 3 - 7*u**2 + u**3. Calculate z(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -8*t + 8. Give b(-24).\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**2 - q**2 + 3*q**2 + 20.\nAnswer: -4*q**2 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0*-930.2697\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**2 - 7*p - 18. Determine k(-5).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 2610535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*j + 2*j. Suppose j = -5*t - 5*a - 5110, -3*a = t + 2*a + 1030. What is the tens digit of (4\/5)\/((-17)\/t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3*p - 1 - 50*p.\nAnswer: -53*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a**2 + 0 + 0)*(5 - 7 + 0)*(-85*a + 224*a + 59*a) in the form j*a**2 + u*a + q*a**3 + d and give q.\nAnswer: -792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 635, 5645, 19239, 45707, 89339?\nAnswer: 154425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -5, 2, 3 in descending order.\nAnswer: 24, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 9*d - 3. Determine p(-3).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = 5 - 21. Let k(m) = -m**3 - 2*m + 2. Determine k(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 12 + 4 = 0. Let p(o) = -4 - x*o**2 - 5*o + 3 + o**2. Calculate the lowest common multiple of p(-4) and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11748 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/55 and (-5 + (-2717)\/(-561))\/((-220)\/(-108)).\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5895, -11916, -17943, -23976?\n\"Answer: -3*p**2 - 6012*p + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26*3*6\/36.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1570 - 1148 = 9*u. Let d = 736 + u. Does 62 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -12*x**3 - x**2 - 2*x - 1. Let t be a(-1). Let r(o) = -15*o**3 + 1140*o**2 + o - 56. Let h be r(76). Solve t*q - h*q = 24 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/5 of a week?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 61*w**4 + 17 wrt w?\nAnswer: 244*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**6 - 24811152*a**3 - 18*a**2 + 37*a - 7642.\nAnswer: 240*a**3 - 148866912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -11*l - 8. Let u(s) = -s - 13. Let h be u(-8). Let a(k) = 9*k + 7. Let v(f) = h*d(f) - 6*a(f). What is v(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2885*f**3 - 503 + 503.\nAnswer: 2885*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11186? (a) 5\/6 (b) -0.1 (c) -4 (d) -5 (e) 4 (f) 15\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of 0 - 4*o**2 + 6*o - 4\/3*o**3. What is the derivative of s(l) wrt l?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 9 = 1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 + -34. Which is the third smallest value? (a) -3 (b) -3\/10 (c) o (d) 0.28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 83*q**2 - 10*q**2 + 84*q**2 + 2 - 12*q**2 - 20*q**2 to the form g*q**2 + d + a*q and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55 - 56.28. Let o = 43.58 - 44. Let v = y + o. Round v to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125039934?\nAnswer: 2, 3, 1879, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d + 1. Let h(b) = -3*b + 1. Suppose 3*l + 1 = -8. Let v be h(l). Suppose -4*q = -5*n + v, 5*q + 21 = -4. What is c(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2c (base 13) to base 9\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42917027?\nAnswer: 17, 2524531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2036413 rounded to the nearest 100000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 65384069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 3:05 AM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 20 = -3*r, -4*r + 41 + 2 = 5*v. Let c be 14\/21*(-57)\/(-2). Let x = c - v. What is the highest common divisor of 132 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/21)\/(y\/(y*y\/y**(2\/33))))\/(y\/(y*y**(-16)*y)*y)**40 assuming y is positive.\nAnswer: y**(-49215\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30183.\nAnswer: 3, 10061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 2*h = -4 + 18, -3*h = -n + 21. Suppose n*t = t + 100. Calculate the highest common divisor of t and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - m = -14, -4*z - 5*m + 31 = -6. Suppose 2*w - z = -2*l + 1, 3*w + 8 = 4*l. Suppose p = l*p - 19. Calculate the remainder when 56 is divided by p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 90 + -74. Suppose r*o = -2 - 974. Let v = o + 111. Calculate the highest common divisor of 10 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -192 (b) 2 (c) -134\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9 (b) 7.6 (c) 0.2 (d) -4 (e) 1 (f) 1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101111002220 (base 3) to base 12.\nAnswer: -9b529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6192 = -y - 5*y. Let n be (-4)\/(-22) - (y\/33)\/4. What is the remainder when 6\/n - (-2367)\/12 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of z**2 + 14*z - 7494. What is i(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-2)*(-31)\/(1302\/28).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (339 - 6\/3). Let f = z - 220. What is the highest common divisor of f and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1692891 rounded to the nearest one thousand?\nAnswer: -1693000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 15*c**2 - 49*c + 867. What are the prime factors of z(16)?\nAnswer: 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - (-17 + 3 + (2 - -3)). Suppose 0 = 4*i - 20 + z. Factor 2\/5*f + 0 - 8\/5*f**4 - 14\/5*f**i - 4\/5*f**2.\nAnswer: -2*f*(f + 1)**2*(4*f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-1)\/(2916\/(-728) + 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 + -3143?\nAnswer: -3222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*f + 31*f + 1 = 0, -5*f + 4221 = l. What are the prime factors of l?\nAnswer: 2, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 156 + -154. Solve -j*g = -g + 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d - 2. Let u be o(6). Let w be u\/(-6) - (-32)\/30. Let p be -1 - (-10)\/6 - 1. Which is the nearest to p? (a) w (b) 0.1 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 1746, 5, -96, -5, -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.261 - -0.061. What is the closest to -1 in -3\/4, f, 19?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o - 6. Let y be i(-6). Let k be 3 - (y - 2\/(-1)). Let v be (0\/k)\/(1\/(-1)). Solve 0 = -v*p + 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-125)\/550*11*(-24)\/(-435)?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2972196*y**4 + 18444022*y**2.\nAnswer: 71332704*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 620726874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 12. Suppose -2*f = -0*f. Suppose -z - 2*z = f. Sort -4, h, z in decreasing order.\nAnswer: h, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 255 and 2635.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5843, -5880, -5941, -6026, -6135?\nAnswer: -6268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13)\/13*(-155)\/5. Solve 10 = -o + 5*s, t*o - 16 = 26*o + 3*s for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1432)\/59070)\/((-4)\/10).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*j = 57*j - 658. Is -94 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4, 3, 0, -5, -12, -21, -32?\n\"Answer: -q**2 + 2*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 17\/4821?\nAnswer: 17\/4821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 27*l**5 - 1602*l**4 - 57624*l**3 - 376176*l**2 + 580272*l - 202272 = 0.\nAnswer: -14, 2\/3, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 101002?\nAnswer: -101021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21809 + 18111.1.\nAnswer: 39920.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 47*y**2 - 151*y + 60. Let u be j(50). Suppose -2046 = -21*a - u*a. Is a a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -388 - 3*z + 0*z + 384. Let n = -22 + 34. Calculate the smallest common multiple of n and d(-6).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255760 = 5606*q - 46*q for q.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -27*z + 30*z for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31229 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15255 and 270?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 302625 and 4075?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-3*-4*((sqrt(60)\/sqrt(6) + sqrt(10))*-5)\/(sqrt(242) - (sqrt(242) + sqrt(242)*-1 - sqrt(242)))*-5*-3.\nAnswer: 4500*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by -6812201\nAnswer: 16\/6812201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -79, -158, -237, -316?\n\"Answer: -79*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -188*q**3 + 289693*q**2 - 170726846?\nAnswer: -564*q**2 + 579386*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(4*(2*sqrt(2448) + 1) + (-2 + -1*sqrt(2448) - ((sqrt(2448)*-2 + sqrt(2448))*1 + sqrt(2448)))))**2.\nAnswer: 1344*sqrt(17) + 479824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101696 is divided by 1093.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1302171 and 8242065.\nAnswer: 7527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ekenn. Give prob of sequence nn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 73, 58, 41, 22, 1, -22, -47?\n\"Answer: -m**2 - 12*m + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of t**2*w + 19*t**2 - 5*t*w**3 + 129*w**3 wrt t?\nAnswer: 2*t*w + 38*t - 5*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of t**3\/6 - 9*t**2\/2 + t. Let w(x) = x**2 - 6*x + 2. Let q be w(7). Let n be b(q). Solve n = -3*o + o - 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319929 is divided by 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.014 + -2.49. What is a rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -242272560 and 91.857.\nAnswer: -242272468.143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7970518 is divided by 2615.\nAnswer: 2613","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -79786\/27 - -2956. Find the common denominator of i and -29\/45.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 129016 to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-168)\/(-18) + 8 - -1 - (-1)\/(-3). Calculate the greatest common divisor of 2586 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 2:12 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 3 + 1\/4*w**4 - 3\/2*w**2 - 5\/3*w**3 - 7*w. Does 11 divide v(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 5:36 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 689689 = -36*t + 116*t - 210951. What are the prime factors of t?\nAnswer: 2, 13, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2 - 3*b + 5*b - 2*b - 6*b. Let u be j(-1). Suppose u*i - c - 90 = 59, -2*c = -4*i + 150. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -1742.\nAnswer: -5\/1742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -476842\/50259 + 13\/4569. Let y = -29\/3 - w. What is the second smallest value in -0.5, y, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 19 + 3 = 0, -4*v = 4*d. Let k = d + 8. Suppose 5*w - 3*w - k = 0. 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: Simplify ((u\/(u**0\/u)*u)**(2\/67)\/(u**(-25)*u*u**(-12)))**36 assuming u is positive.\nAnswer: u**(87048\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 56021.1 to the nearest one hundred.\nAnswer: 56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 3282173.97 to the nearest ten thousand.\nAnswer: 3280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - x**2 - x. Let g(r) be the second derivative of -r**4\/6 + r**3\/6 + 3*r**2\/2 + 465*r. Give -2*f(o) + g(o).\nAnswer: 2*o**3 + 3*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -100*k**3 - 5*k**2 - 6*k - 5. Let z be l(-3). Let u = z - 1745. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -18*x - 645. Let z be o(-36). Solve -17 = z*d - 2 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 704416211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdbkhbh. Give prob of sequence db.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 709740421.\nAnswer: 13, 19, 241, 11923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -270 by -5.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (180\/(-810))\/(2\/(-3)). Which is the closest to -6? (a) t (b) -9\/4 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -656420230 divided by -248174.\nAnswer: 2645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - -0.1. Let h = -0.6 + j. Let u = h - -0.4. What is the third smallest value in 0.3, u, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222438\/31 >= 7174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(-24))\/((8\/(-96))\/((-77)\/55))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 165045 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -12*o**2 + 0*o**3 - 6*o + 14*o + o**3 - 6*o + 16. What is the tens digit of k(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*g + 70*g + 18 = 103, -16*t - 2*g - 38 = 8 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 172, 168, 162, 154, 144?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -142 - 200?\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8 + 4 - -3) + (-3)\/(-7). Let i = -1.54 + 0.04. Let q = 0.5 - i. Which is the nearest to 0.1? (a) s (b) q (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 + (-1)\/(3\/6) is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**3 - 2*j**3 - j**4 + (j + 2*j - j)*(-2*j**3 + 0*j**3 + 0*j**3) + 77*j**4 - 144*j**2 + 144*j**2.\nAnswer: 72*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 85812 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 3 - (-4 - -3 - -8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 + 0)*(-10*v - 2*v - 3*v) to the form m + s*v and give s.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0 = o + 2, o - 1 = -2*k. Let u be -1 + 2\/k + 3. Solve 5*f - 4*d = f - 16, -d + u = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-10) - 2\/(-80). Let b = 646 - 646.092. Let i = 0.292 + b. What is the closest to 12 in t, i, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162635868 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6928662 - -6928659.1999966. Let a = n + 2.8. What is a rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 + 0 - 9)*(-3*q + 0*q + q) as a + k*q and give k.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 x when two letters picked without replacement from iixjjiidiffi.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, 0.2, -3, 16 in ascending order.\nAnswer: -36, -3, 0.2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 6*v**2 + 16*v - 158. What is h(5)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 take away -10624381.613?\nAnswer: 10624388.613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*c = p + 95*c, -p = c for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 56 = 4*l, -5*l - 5*o + 35 + 30 = 0. Calculate the remainder when 148 is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 50210 to the nearest 1000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 396, 2, 4, 3, 1, 15.\nAnswer: -2, 1, 2, 3, 4, 15, 396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 402\/(-104) + (-34)\/(-136) and 44\/91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -3*m - 546, -5*m = 2*g - m - 208. Suppose v + 42 = 120. Suppose g - v = 6*n. Solve 0 = -n*w + 3*d + d + 9, 3*w = -d + 19 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00470533153 rounded to five dps?\nAnswer: 0.00471","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17220720 divided by -2965?\nAnswer: -5808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 7*s**3 + 9*s**2 - s + 13. Let k = 3605 + -3609. Let q(v) = 3*v**3 + 4*v**2 + 6. Determine k*j(z) + 9*q(z).\nAnswer: -z**3 + 4*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v**2 - v + 1. Let n(h) = 341*h**2 - 3*h + 3. Calculate -2*n(c) + 6*r(c).\nAnswer: -658*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/9 + 2732*v**2\/3 - 41042*v\/9 - 16412\/3.\nAnswer: 2*(v - 6)*(v + 1)*(v + 4103)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2302, -4406, -5992, -7060, -7610, -7642?\nAnswer: -7156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.4 + 4.8. Let o = t + 5.663. What is o rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314507694?\nAnswer: 2, 3, 359, 146011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 6 = m. Let k be (26 - (-1)\/(-1)) + 0. Suppose 4*u - d - 2*d = k, m*u = -d + 35. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 2*c**2 + 8*c + 8. List the prime factors of u(-6).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4 + sqrt(300) + -1 + 5)**2.\nAnswer: 80*sqrt(3) + 316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 29*p**4\/12 - p**2\/2 - 10*p. Let j be c(1). Suppose 4*u - j = -3*u. Solve y - 4*w - 9 = -4*y, u*y - 6 = 2*w for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4032 and 609693?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - o - 13 = c, -5*o = 2*c + 30. Calculate the common denominator of (1 + 0)\/(-3 + 10\/o) and -85\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 2:02 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 2010697.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2842754 rounded to three dps?\nAnswer: -0.284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*s + 10390 = -17*s. What are the prime factors of s?\nAnswer: 2, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 12.8. Let b = r - 1.2. Let j = -135.2 - -135. Sort b, j, -2\/15.\nAnswer: b, j, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-1)\/(-2)*0\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.105 and 0.152.\nAnswer: 0.01596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1, 0.0237, -0.3, -2\/9, -5?\nAnswer: 0.0237","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2294055 is divided by 6649.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-149)\/(-149)*1\/(2\/(-46)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 22223 + -22287 + (-2 - (-3 + 2))\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 785, 4, 0 in increasing order.\nAnswer: -2, 0, 4, 785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34115310 by -43570.\nAnswer: -783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-6) - 38\/(-3). Let x be (-20)\/(-8) - 21\/(-14). Suppose -2*w = -d + 5 + 3, -x*d + 19 = 5*w. Solve -d*k + 2*k = a for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -618 in -2\/11, 18\/91, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1204.0979 rounded to 1 decimal place?\nAnswer: -1204.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -60, -3, 5, -90, 3, 1 in descending order.\nAnswer: 5, 3, 1, -3, -60, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 825*p - 79185. Determine a(-111).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8360*1.\nAnswer: 8360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - 25. Let a(h) = 2 - 2 - h + 1 - 2 + 4*h**2. Give a(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.18 times 1655917\nAnswer: 1953982.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**3 - 57*a**2 - 21*a - 106. Is c(-35) a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*w - 5 = -15*w. Find the common denominator of 14\/4*(16\/(-6) - w) and 11\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (29*y - 152 + 152)*(9 + 16 + 14)*(6 - 3 - 1) in the form c*y + k and give c.\nAnswer: 2262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x + 16*x + 0*x + (0*x - x + 2*x)*(3 - 3 - 2) + 3*x - 3*x - x + (-x + 1 - 1)*(4 - 3 - 2).\nAnswer: 17*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*a + 28*a + 3705 = -21*a + 28*a for a.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -66*z**2 + 3*z + 1. Let t be s(1). Is -53 - t - (1 - 4493) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3045*y - 1578*y = -24939 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) - (-2*sqrt(275)*-1)**2) + -1 + sqrt(396)*-1.\nAnswer: -1101 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 3\/((-27)\/6))\/(397 + -399).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19362?\nAnswer: 2, 3, 7, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eecddvvvdvccevvwwvv. What is prob of picking 1 d and 1 c?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 4*l = -67, 3*v - 62 + 6 = 5*l for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.44, -0.4, 54, 0, 4?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11 or 5420?\nAnswer: 5420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*g**2*k**4 - 157*g**2*k**2 + g**2 wrt k?\nAnswer: 192*g**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4520*v - 1193*v**3 + 179*v**3 - 4520*v + (2*v**3 + v**3 - v**3)*(2 - 1 + 7).\nAnswer: -998*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32875597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12046 > 12046?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hw when two letters picked without replacement from {t: 1, h: 7, j: 3, w: 1, k: 7}.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 30 - 6 = 0. Solve 0*x - x = -g for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(3\/5)\/(d**(-1)*d))**(5\/3))**(-3\/7) assuming d is positive.\nAnswer: d**(-3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 10:50 AM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 116*k - 114*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/1061236 and -57\/10840.\nAnswer: 10612360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -7*o + 3. Let u(k) = -1. Determine d(f) + 2*u(f).\nAnswer: -7*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49 - -49. Let l be (a\/1)\/((-10)\/(-5)). Suppose l = -2*v - 0*v + 64. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*a*b*o**5 + a*b + 616*a - 3759071*b*o**4 + 5977*b*o wrt o.\nAnswer: 660*a*b*o**3 - 45108852*b*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 8, -3*v - 192 = 2*w - 2*v. Let d = -156 - 29. Let m = w - d. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/5 - 207104*g\/5 - 207094.\nAnswer: -2*(g + 5)*(g + 103547)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 1. Let r(q) be the third derivative of 0*q**4 + 0 - 2*q**2 + 0*q + 0*q**3 + 1\/60*q**5 - 1\/40*q**6. Calculate r(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*x + 20*x - 2*x + 25*x**2 + 5*x wrt x.\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1.24, 0.4, -9, 0.6, 2\/2199?\nAnswer: 2\/2199","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + 6 + -3 + (517 - 529) - 65.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y + 7*y = -5*n + 2, 42 = -6*y for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 10*k**2 - 16*k - 6. Let o = 2140 + -2145. Let m(q) = 3*q**2 - q - 2 + 0 - 4*q. What is o*u(f) + 16*m(f)?\nAnswer: -2*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3509002 is divided by 3508985?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-32))\/(-56*(-162)\/(-145152))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*i**2*m**2 + 2*i**2*m + 7*i**2 - 37*i*m - 2*m**2 + 8*m wrt i.\nAnswer: 8*m**2 + 4*m + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 2*o**5\/5 + 10*o - 2. Differentiate s(a) with respect to a.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 10:56 AM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -82854+0.3\nAnswer: -82853.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -180, -226, -272, -318, -364, -410?\nAnswer: -456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*n**5 - 11*n**5 + 16*n**5)*(-2 - 3 - 4).\nAnswer: -189*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 6*i**2 - 2*i - 2. What is v(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -4 + 0*d + 0*d**3 + 3\/2*d**2 + 4\/5*d**5 + 0*d**4. Find the second derivative of x(g) wrt g.\nAnswer: 48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 1193 = -3*g + 1339, -3*n = g - 830. Is g >= 5874\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32575, -32569, -32563, -32557, -32551, -32545?\nAnswer: -32539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 26*c**3 + 39*c**2 - 39*c + 39. Let d(w) = -w**3 - w**2 + w - 1. What is 78*d(k) + 2*x(k)?\nAnswer: -26*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1200) - (sqrt(288) - (-1*sqrt(288) - sqrt(288)))\/sqrt(6)) + 1)*-2.\nAnswer: -16*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from babkuaqnubkk. Give prob of picking 1 b and 1 k.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 118738993+-0.35\nAnswer: 118738992.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 112\/28429?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.7 - 5301982.46.\nAnswer: -5301979.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 10) in base 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 11:12 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 + -37. Suppose -z*t + 2*t = -79. What are the prime factors of t?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/804 + -2405\/5628. Let m = 22 + -52. Calculate the common denominator of u and (-111)\/m*-3 - 0.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2755 and 285?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r - 3. Let u be v(17). Let m be ((-21)\/u)\/(1\/(-2)). What is the first derivative of 14*w + m + 21 + 12*w - 5 wrt w?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*d + 34*d + 480 = 27*d. Solve 13*k - 18*k = -d for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 58\/145 + 636\/10. Calculate the greatest common factor of u and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -7*r**3\/6 - r**2\/2 + r. Let q be d(1). Let m be 1\/(-4) + (-26)\/q. What is the greatest common factor of 21 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-5))\/(-9*26\/585)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1339 rounded to the nearest 10?\nAnswer: -1340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 4*x. Let f be 1407\/(-273) + (-2)\/(-13). What is s(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2264047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 48 = 4*s, -2*d + s + 8 + 52 = 0. Calculate the smallest common multiple of d and 9.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a gram in milligrams?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 159 + -146. Which is the third biggest value? (a) r (b) -2 (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13049*l**4 - 15*l**2 - 48*l?\nAnswer: 313176*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 5*r - 3. Let f(d) = 7*d - 1. Let q be f(r). Suppose -5*s = -84 - q. Calculate the remainder when s is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 103 - 6091*o + 6032*o - 98 in the form y + u*o and give u.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 8*a**2 - 12*a + 7. Give l(8).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -107 + -146056?\nAnswer: -146165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 224 and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 24 + 16 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2387876 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 9*d + 5. Let n(v) = -v**3 - 21*v**2 - 38*v - 8. Let h be n(-19). Suppose 0 = -48*r + 53*r + 20. Let s = r - h. What is t(s)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14464 - -14504. What is the greatest common factor of 5600 and d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1210 - -6710. Is 90 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a day in minutes?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -2*l + 2*c + 172, 5*c - 615 = -5*l. Let a(s) = 6*s - 10. Let z be a(4). What is the highest common factor of z and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3398*p**2 + 6*p - 3. Is g(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/40)\/(16\/(-96))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 10066752094751?\nAnswer: -10066752094751.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 17*x - 37. Give w(10).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5914 + -5915. Sort -499, x, -3.\nAnswer: -499, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 129*d - 2 = 127*d, -4*d = -5*h + 9 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2361? (a) 0 (b) -34 (c) -13 (d) 3 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 19232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -13, 4, 0.3, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1066992 divided by -22229.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*t**2 - 99*t**3 + 22*t**2 - 55*t**2 to s*t + g + d*t**3 + x*t**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-84)\/(-70))\/(3\/5). Solve 8 = a*j + 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*f + 130 = 462 + 1193 for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -5*f**2. Let k(t) = -12*t - 6. Let q(z) = 819*z + 462. Let r(j) = 154*k(j) + 2*q(j). Give r(c(o)).\nAnswer: 1050*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, m: 2}. Give prob of picking 1 m and 3 a.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2327666 to the power of 1\/3, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/472? (a) 0 (b) -0.1 (c) 5 (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 72 in 1, -2, 1\/201?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - -40. Suppose -i = -2*j - 15. Solve 5*l + j = u, -l - 4*l - 5*u + 5 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.131 (b) -4\/9 (c) -13 (d) 4 (e) 0.1 (f) -4\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 13 + 1 = 205300*a - 205299*a, -a + 4*z + 9 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3.17*-0.00044219\nAnswer: -0.0014017423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 114\/22 + (-6)\/33. Suppose -3*i - 3*h + 142 = -239, 0 = k*h - 15. Let x = i + -71. What are the prime factors of x?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 56c6 - 68?\nAnswer: 565b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than -468?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(343) + sqrt(343)*2)**2 - -6*(((-2*sqrt(77))\/sqrt(11))**2 + sqrt(7))) + 2.\nAnswer: 6*sqrt(7) + 3256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-204)\/(-2)*(-2)\/(-4). Let c be (-1179)\/(-12) - -6 - (27\/12 - 3). Let l = c - j. What is the remainder when l is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -184*p - 188. Let v be o(-1). Let f(q) = q + 3. Let k be f(-8). Sort k, v, -1 in descending order.\nAnswer: -1, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n - 2844130*n**3 - 207*n**2 + 2844130*n**3 - n**4 as h*n**4 + j*n + i*n**3 + y + d*n**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*f**2 + 0 - 31*f**2 - 4 + 5 + 66*f**2.\nAnswer: f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/5 + 4*u\/5 - 126\/5.\nAnswer: 2*(u - 7)*(u + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 207, 829, 1783, 2997, 4399?\n\"Answer: -12*o**3 + 238*o**2 - 8*o - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16\/9501 or 1?\nAnswer: -16\/9501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of w**5\/40 - 45*w**4\/16 + 11*w**3 + 201*w**2. Factor v(q).\nAnswer: 3*(q - 44)*(q - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 505 divide 6597481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -24.1 (b) -4 (c) -1\/5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40075.38 rounded to the nearest ten?\nAnswer: 40080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3212003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-17 - -18)*2\/1. Sort g, 4\/9, 0, 3.\nAnswer: 0, 4\/9, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11342.585 to the nearest one hundred.\nAnswer: -11300","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 57824606?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 4*j**2 + 2*j + 4. Let p = -8 + 3. Let k = p - 4. Let t be 2\/(-2*3\/k). What is u(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30049 - 30067. Let t(o) = o**2 + 15*o - 21. Give t(p).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-274 - -248) + (3 - (-2 + -3))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j - 3*j**4 + 0*j + (3 - 3 + 2*j**3)*(2*j - 6*j + 2*j) + 0*j**2 + j**4 + 0*j**2.\nAnswer: -6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (89*p**2 + 78*p**2 - 83*p**2)*(-176 - 156*p**2 + 312*p**2 - 158*p**2) in the form b*p**2 + i + f*p**4 + u*p**3 + a*p and give f.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 11:17 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(1331) + 1)**2 + -1 - (-2 + (-1*sqrt(1331)*-2)**2).\nAnswer: -3996 + 22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of s**5\/60 - 7*s**4\/24 - s**3 + 18*s**2. Let l be u(5). Calculate the remainder when (604\/l + 1)*-4 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - (-7)\/(7\/(-6)). Let l = f + 11. Suppose 0 = -l*i + 6 + 50. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 11. Suppose 2 = 3*f - a - 10, 0 = -f - 3*a + v. Let m(q) = -28*q + 178. Let u be m(6). Solve -2*j - t = -3*t - 8, -u = -j + f*t for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = o - 6*y + 3*y, -5*o - 4*y + 137 = 0. Solve 4*v + o = 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 116\/4279 - -265073\/51348. Let m = -27\/22 - o. Calculate the common denominator of 530\/24 + (-4)\/12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*a + 19*a - 30. Calculate the lowest common multiple of a and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -458235, -916530, -1374823, -1833114, -2291403, -2749690?\nAnswer: -3207975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7428557?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -635*b**3 - 9*b**2 - 5*b - 3. Let s(f) = -f**3 + f**2 + 2*f. Let w(r) = -m(r) - 6*s(r). Is w(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 times 2.97706\nAnswer: -95.26592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 251, 176, 101, 26, -49?\n\"Answer: -75*q + 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 4*n**2 + 6*n - 2. Determine r(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-204)\/(-357)*1\/2 + 99\/21?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 19*w + 2. Let s(y) = -10*y - 1. Calculate -3*m(i) - 5*s(i).\nAnswer: -7*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16105547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8232231 micrograms in nanograms?\nAnswer: 823.2231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 7. Suppose 0 = -q + x*q - 5. Suppose -q*y + 2*n + 17 = 4*n, -3*y = 2*n - 7. Solve -12 = -4*p + 5*k + 4, p = -y*k - 21 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00280478 rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7\/2*(-668)\/(-1169)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 1 - 2 - (3887\/(-115) - -28).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9921 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4024721963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 548959405 to the power of 1\/2, to the nearest integer?\nAnswer: 23430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1332 and 246864.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 148*u**2 - 1152*u + 1723. Calculate y(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 7.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, x: 2, u: 2, y: 2, d: 1}. What is prob of sequence dgx?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 12, b: 6}. What is prob of picking 3 b?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 142421 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4374887 (base 11) to base 6.\nAnswer: 432323315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + 29. Let p = -27 + g. Let c = -2 + p. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 3:56 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53425 = -96*y + 55057 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5379140?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(4\/(3\/(-3)*2)). Let a(l) be the third derivative of -l**6\/120 - l**5\/20 - l**4\/6 - 5*l**3\/6 - 3*l**2. Let s be a(k). Is -8 less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -450, -897, -1330, -1743, -2130?\n\"Answer: w**3 + w**2 - 457*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -j - 5, -4*j - j = -2*v + 13 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/1979111 - 5523701741\/1939528780. Let p be ((-6)\/(-7))\/(14\/(-31)). Let b = p - s. Calculate the common denominator of b and 19\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppplplplpppppp. What is prob of sequence lll?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2) + 1 + -3 + sqrt(18))**2 + -2.\nAnswer: -24*sqrt(2) + 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 4 = -5*r, 4*k - 2*r + 7*r = -8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 18*r**2 - 1. Let z be a(-2). Let f = z - -26. Suppose 0 = 6*v - v - 125. Calculate the remainder when f is divided by v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -7*c**2 - 220*c + 108. Determine j(-32).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1155 - 1153. Let t(d) be the first derivative of -8 - d + 0*d**i + 2\/3*d**3. Give t(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*w - 2*u, 5*w - 56 + 15 = 4*u. Suppose -6*n + w*n = -84. Is n a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 6:33 PM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 64 in 49, 1\/2, 36?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1320533 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -358*u. Let o(w) = 10*w. What is q(o(n))?\nAnswer: -3580*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -461 + 487. What is the remainder when 66 is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 3*s + 6, -s + 3*s + 3 = m. Suppose 4 = -47*h + 45*h + 3*l, h + 11 = -3*l. Sort 13, h, m.\nAnswer: h, m, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 4200*w. Let j(t) = 2*t. Give u(j(h)).\nAnswer: 4*h**2 - 8400*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 131 + 822493703938\nAnswer: 822493704069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.002, 33800, -2\/13, 5?\nAnswer: 33800","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19616 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3*sqrt(272) - sqrt(272))**2 + 2 - (sqrt(85)\/((sqrt(50) - sqrt(50)*-3)\/sqrt(10)) + -1).\nAnswer: -sqrt(17)\/4 + 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -16454 take away -82607605?\nAnswer: 82591151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19*f + 6*f**3 + 19*f)*(-5 + 0 + 3) + (-33*f - 32*f + 23*f)*(3*f + 2*f**2 - 3*f) to l*f**3 + q*f + h + w*f**2 and give l.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, z: 2, w: 1}. What is prob of picking 1 w and 1 e?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -157031, 36, -7 in increasing order.\nAnswer: -157031, -7, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 161, 167, 8, 2 in ascending order.\nAnswer: 2, 8, 161, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 11. What is the least common multiple of v and (-6)\/18 - 34\/(-3)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(455\/10)*6\/4.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11448769 rounded to three dps?\nAnswer: 0.114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -639, -700, -763, -828, -895, -964?\n\"Answer: -h**2 - 58*h - 580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 863 + -1174. Let k = s + 306. Sort -14, k, 3 in decreasing order.\nAnswer: 3, k, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 0 - 1\/6*y**3 + 2*y**2 + 0*y + 0*y**4 - 1\/30*y**5. What is the first derivative of u(p) wrt p?\nAnswer: -4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 3*f + 5. Let r be n(0). Suppose -r*p + 8*p - 111 = 0. Let z = p - 36. Solve -z - 3 = 2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 386390, 772344, 1158286, 1544210, 1930110, 2315980, 2701814, 3087606?\n\"Answer: -l**3 + 385961*l + 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 11*m**2 - m + 2. Let s be 6\/9 - 35\/3. Let a be w(s). Let k = -51 - -64. Calculate the highest common factor of k and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4559 and 19400.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -143, -277, -407, -533, -655, -773, -887?\nAnswer: -997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -1436606?\nAnswer: 1436611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1819*t - 489*t + 570*t to c*t + x and give c.\nAnswer: 1900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of y**3 + 7. Let s(h) = -7*h**2. Give s(a(p)).\nAnswer: -63*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 2428 divide 2591392260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - -1*sqrt(88)*-6)\/sqrt(8) + 1*(5 + (sqrt(176) - sqrt(11))))*4*-4.\nAnswer: -80 + 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**5\/7 - 160*h**4\/7 - 702*h**3 - 34992*h**2\/7 - 4320*h = 0 for h.\nAnswer: -12, -1, 0, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 0 + -2 + (5 + (-1 + -1*sqrt(200) - (-3 + 1 + sqrt(200))) + 1)**2.\nAnswer: -280*sqrt(2) + 842","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 + 18. Let x = y - -10. What is the closest to x in 1\/2, -2, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l + 4. Let r(b) = -b - 4. Suppose 6*a + 2 = -16. Let s(g) = a*k(g) - 2*r(g). Let p(q) = -4*q - 4 + 0 + 1. Calculate 4*p(h) - 3*s(h).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/2 (b) -2 (c) -4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 - -29. Solve 0 = -4*q + o*q + 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/20 and 1\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1633343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m\/(m**(-1\/4)\/m)))**(-2\/49))**34 assuming m is positive.\nAnswer: m**(153\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 639618.\nAnswer: 2, 3, 7, 97, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000099985 to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + (494\/12)\/(-13). Let w = 1.5 + -1. Let s(d) = -7*d**2 + 41*d + 9. Let h be s(6). Which is the biggest value? (a) z (b) h (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - -23 - ((30 - (-2 + 16)) + 60 + -8)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -455936535\/37 + 12323578. Let f = c - 969. Is f != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -428 + 487. Let u = o + -19. What is the highest common factor of 180 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/5, -0.4, 5, -11545?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -459*x**2 - 617*x**2 + 94*x**2 in the form n*x + v + g*x**2 and give g.\nAnswer: -982","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 96*w**4 + w + 25.\nAnswer: 1152*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 9 = -3*x. Suppose -18 = 2*w + 5*l, 23 = 4*w - x*l + 7. Suppose -2*v + 5 = -11. What is the greatest common factor of v and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-12 + (-23816)\/24)*-6?\nAnswer: 2, 23, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75 - -32. Let f = h - 107. Solve f = -11*v + 7*v - 20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 53093 = -0*k - 5*p, k + 5*p = -13267. Let o = 18683 + k. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20152 to the nearest 1000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 2*m - 1. Let g be h(1). Suppose -g - 1 = -i. Factor 3*z**3 - i*z**3 - 2*z**4 - 2*z**3 + 4*z**2.\nAnswer: -2*z**2*(z - 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -102 - -105. Suppose 6*p - c*p = 3*z + 153, -3*p + 149 = -4*z. Is 12 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 8*k - 7*k - 9145 = 0, -4*v = 5*k - 9133. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, j: 2, f: 10}. Give prob of sequence jj.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (243\/(-36) - 21)\/18 and 101\/870.\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/11)\/(d\/(d*d**(3\/13))*d))**(10\/7) assuming d is positive.\nAnswer: d**(-710\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 301 a factor of 45852835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*p**3\/3 + 16877*p**2\/3 - 687080*p\/3 + 2303600.\nAnswer: (p - 20)**2*(10*p + 17277)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.530186 to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.341 + -0.041. Is c greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*d = -97*d - 450. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/(-45))\/((-16)\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y + 6. Let f = 5 - 3. Suppose -g = -2*t + 11, 21 = 5*t + 2*g + f*g. Suppose t*i - 20 = -q, -3*i = 4*q - 0 + 5. Determine j(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/8 + 7\/(-28). Let q = 0.05 - -0.46. Let m = -0.11 + q. Which is the third smallest value? (a) 3\/2 (b) o (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 + -21. Let c = 817 + -674. Calculate the highest common factor of c and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110 - -1010?\nAnswer: 11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 3 - 1)*(0*h - h + 4*h) + 6*h - 3*h - 2*h + 4*h + 0*h - 2*h)*(233 - 233 - 26*h**2).\nAnswer: -312*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -7*h**3 + 4*h**2 - 12*h - 8. Let d(x) = -9*x**3 + 4*x**2 - 12*x - 10. Let t(f) = 4*d(f) - 5*p(f). Let t(l) = 0. Calculate l.\nAnswer: -6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/3 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -507 at least as big as -506?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(154)*1*-5 + sqrt(154))\/(sqrt(539)*2 + sqrt(539)))\/((sqrt(14) + -5*sqrt(28)\/sqrt(2))\/(sqrt(7) + sqrt(567)*-2 + sqrt(567))).\nAnswer: -8*sqrt(7)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1525 a factor of 246580300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 1.172.\nAnswer: -0.586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9877253.\nAnswer: 109, 90617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ebbebbe. What is prob of picking 2 b and 2 e?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1401773g to kilograms.\nAnswer: 0.0001401773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**2 - 18032*m + 540060 = 0.\nAnswer: 30, 18002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 83480 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 4 - 5 - 7 - 238*y + 239*y. Calculate q(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 7*f - 24. Let t(l) = l**3 + 5*l**2 - 11*l - 1. Let u be t(2). Suppose -5*h = u*w - 0*w - 60, h - 2 = 4*w. What is n(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88, -710, -2040, -3902, -6296, -9222, -12680?\nAnswer: -16670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, 1\/4, -37 in decreasing order.\nAnswer: 1\/4, -3\/7, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -236 + 48*t + 323 - 153. What are the prime factors of y(15)?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1729.\nAnswer: 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, d: 5, r: 3, o: 2}. What is prob of picking 2 e and 1 d?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2222)\/110*(-10)\/36 and (-109)\/(-2)*(-1)\/(-10).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.007 + 32.993. Let c = -311260.999968 - -311294. Let m = g - c. What is m rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.2359 plus 0.4?\nAnswer: 29.6359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2695*o - 598285. What is q(222)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-54)\/(-135)*112\/(-2)*-2. Let n = 5142\/115 - s. Is -0.1 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 912 and 2850?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335 is divided by 233.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s + 185 + 9 - 17 - s.\nAnswer: -2*s + 177","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**2 - 12*a + 13. Let g(s) = -2*s**2 + 11*s - 11. Calculate -5*g(k) - 4*q(k).\nAnswer: 2*k**2 - 7*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 73 = 4*j + 99, -3*j = 5*n - 248. Let s = -50 + n. Let o be s*(-5)\/(-20)*2. What is o rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 + 5*t**2 - 4*t**2)*(35*t**3 + 221554 - 221554).\nAnswer: 70*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 52330?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/25*-5 + -1 + -2. Which is smaller: d or -163?\nAnswer: -163","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 403629784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 2 + 49 - 12*q**2 + 29*q**2 + 11.\nAnswer: 17*q**2 + 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 5008815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1083)\/(-9) - (-1)\/(-3). Let z(v) = 652*v + 2046. Let p be z(-3). What is the highest common divisor of t and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/10)\/((-6)\/(54\/9)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 436 = -4*l, -84 = -4*l - 5*q + 380. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-37)\/(-148) + 89\/12. Which is smaller: w or 8?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11301*b**2*n - 8*b*n + b + 273 wrt b?\nAnswer: 22602*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -67, -10358, 0, -3, -1 in increasing order.\nAnswer: -10358, -67, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -y + 31. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12\/(-21) + (-8264240)\/(-266)?\nAnswer: 2, 3, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 - (-2)\/(-2) - (11 + -298) is divided by 38.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 164 - 165.31. What is u rounded to 1 dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (sqrt(99) + sqrt(99) + 1)**2) + 0 + -5.\nAnswer: -402 - 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**2 + 2*l**2 - 4*l**2 - 3*l**2 + 0*l + 0*l + (-6*l**2 + 3*l**2 + l**2)*(3 - 1 + 0) + l**2 - 5398 + 5399 + 1117*l + 527*l.\nAnswer: -5*l**2 + 1644*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8, -6\/5, 4 in descending order.\nAnswer: 8, 4, -6\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-one halves of a decade?\nAnswer: 2460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -46, -101, -178, -277?\nAnswer: -398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -356 + 83 - 1360 = -71*d. Solve -d*w + 8*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*d**5 + 2*d**4 - 3*d**4 - d**5 + (d**4 + 4*d**4 - 3*d**4)*(3*d + 5*d - 6*d) + 0*d**5 - 4*d**5 + 6*d**5 - 2*d**5 - d**5 + 2*d**5.\nAnswer: -d**5 - d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (6 - -1 - (34 - 46)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 - 28. Let c(k) = 7*k**2 - 20*k - 36. Let x(i) = -15*i**2 + 42*i + 76. Let u(l) = 13*c(l) + 6*x(l). Give u(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 3 - 2)*(s + s + 0*s + 13*s - 2 + 2 + (s + 0*s - 3*s)*(-4 - 1 + 3) - 3 + 3 + 2*s).\nAnswer: 252*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 722956?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-4*(sqrt(162) + -2))**2 - sqrt(162)).\nAnswer: -585*sqrt(2) + 2656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iv when two letters picked without replacement from {i: 6, n: 1, v: 1, e: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 128 + -119. Let k = -598 + -172. Let c be (28\/k)\/(2\/10). Sort h, c, 2\/7 in descending order.\nAnswer: h, 2\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -q**6\/20 - q**5\/15 - q**4\/24 + q**3\/3 - 3*q**2. Let s be f(-2). Calculate the greatest common divisor of 24 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + q. Suppose q*v - 60 = -4*h - 4*v, 4*v = -h. Suppose h*k = 23*k + 3. Which is smaller: -19 or k?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25327 less than -44.061?\nAnswer: -25371.061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7564606 hours in days?\nAnswer: 0.114852525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**3 + 10 + q**2 - 9 - 4*q**2 to the form m*q**3 + d*q + a*q**2 + l and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 285982*g*s + g + 93811*s wrt g.\nAnswer: 285982*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -y**2\/4 - 1335*y - 15984 = 0.\nAnswer: -5328, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.16213 - 9.29027. Let y = q - -0.0024. Round y to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 587 divide 575631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -19*f**5\/30 + 59*f**4\/4 + 384*f**2. What is the second derivative of k(q) wrt q?\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 v, and 1 j when three letters picked without replacement from jzlvzllllz?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 308*y - 1841. Determine w(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (13 - 261\/18)*(-12)\/11. Find y, given that b*y + 14\/11*y**2 + 4\/11 = 0.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 343 divide 216409681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55247574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 86 = 4*p, -5*p - 93 = -g + 20 for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0, -8, 0.5, -35, -14, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4 - 18 + 2*c**2 + 21 - 3*c**2. Let l(a) = 4*a**2 + 3*a + 3. Determine -l(d) - 3*m(d).\nAnswer: -d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*s + 28*s - 352 = 0. Let t be (-104)\/s - 12\/33. Factor 2\/7*p**4 - 6\/7*p**t + 0*p**3 + 0 + 4\/7*p.\nAnswer: 2*p*(p - 1)**2*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 888230 and 6?\nAnswer: 2664690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10863182 a multiple of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 15 - 1 + p**2 + 10*p - 3. Let z be d(-9). Suppose y - 5*y = -5*u + 4, 0 = -z*u + 4*y - 8. Solve u*t - 2*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2 = -4*m - 22, 2*m = 2*n - 20. Suppose 0 = 2*q + 4*r - 13 - 15, -3*q + r = -42. Calculate the least common multiple of q and n.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -4a39?\nAnswer: -4a34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 5 (b) -0.05455 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4882 or -787?\nAnswer: -4882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 530 is divided by 21?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f - f = -36 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -839.\nAnswer: 3\/839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4721 - 4688. Calculate the greatest common factor of l and 5577.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvjstjyjcycsvycj. What is prob of picking 2 s and 2 j?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -3240325196 to the nearest one hundred thousand.\nAnswer: -3240300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 + 3004*o - 14920.\nAnswer: -4*(o - 746)*(o - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from fwfwwwffwffwwwp.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**3 - s**3 + 2*s**3)*(3*s - s - 3*s)*(0 + 1 + 4).\nAnswer: -5*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 369 + -265. Let q = n + -108. Let i be 4\/10 - (-1)\/5. Put 0.2, i, 1, q in descending order.\nAnswer: 1, i, 0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wnw when three letters picked without replacement from {w: 2, n: 1, l: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-36)*400\/(-250).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y + 18. Let v(t) = -4*t - 20. Let m(i) = -5*h(i) - 4*v(i). Let o be m(15). Suppose -5*l = o, 5*a + 4*l = l + 1422. Is 24 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 49*h + 845. Calculate n(-17).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, u: 1, i: 1, k: 1, r: 1}. What is prob of sequence ug?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - 12. Let p = i - 3. Suppose p*b - 26 = 14. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, q: 8, z: 1, w: 9}. What is prob of sequence wz?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10968898 is divided by 21094?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104405 = 31*a - 140*a + 428060. List the prime factors of a.\nAnswer: 5, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4\/3 - 249920*y**3\/3 - 5202417386*y**2 + 968370272320*y\/3 - 15013462827841\/3.\nAnswer: -(y - 31)**2*(y + 124991)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 36 - (-13 - -46) - (3 + -13).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 39627.89 millilitres?\nAnswer: 39.62789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/4 (b) -26 (c) 3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (28 + 0 - 100) + 0 + 9 - 9\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(80) - sqrt(5))*-3 + sqrt(5) - (sqrt(5) - (sqrt(80) + 3)**2)) - ((1*sqrt(140) - sqrt(140))\/sqrt(7) + -3)**2.\nAnswer: 30*sqrt(5) + 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -378*c + 0 + 377*c + 3. Let b(v) be the first derivative of -2*v - 1. Determine -3*b(q) - 2*k(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/((2*5)\/((-67)\/(-67804)*230)).\nAnswer: -7\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 455a4984?\nAnswer: -455a4986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 14*u**3 - u**2 - 12*u + 1. Let v(o) = -1 - 2*o**2 - o**3 + o**2 + 2. Let r be 3\/5 + 14\/10. Let d(b) = r*v(b) + t(b). Determine z so that d(z) = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4 - 1009*m + 0.\nAnswer: -1009*m + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-150)\/42 - (-32)\/7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -374*i + 6340 + 766 = 0 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 686 is divided by 58.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 412*q. Let m(o) = 100*o. Give m(y(l)).\nAnswer: -100*l**2 - 41200*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1892\/86*((-12)\/8)\/(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 3, 2*p - 9 = 2*u + 25. Let a be (p\/(-490)*7)\/((-24)\/14). Factor a*m**3 - 1\/3 + 0*m**2 - 1\/2*m.\nAnswer: (m - 2)*(m + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/1)\/(2 + 3). Let o = -2176 - -2175. Which is the third smallest value? (a) h (b) 1 (c) o (d) 7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 16. Let s = 12 + f. Suppose -276 = -s*r - r. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 5358.465?\nAnswer: 5358.465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 105 - 417\/4. Let s(i) = i**3 - i**2 + i - 1. Let d be s(1). Suppose 0*b + b = d. Is b at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4540*l**3*z - 12*z + 147 wrt l.\nAnswer: -13620*l**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(108)*1 - sqrt(108)))*5 + 3 + -4 + -3*(-1 + sqrt(108) + 0))**2*6.\nAnswer: 4968*sqrt(3) + 9006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccj when three letters picked without replacement from {a: 3, h: 1, f: 1, j: 6, c: 2}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 1:14 PM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1bd + 5?\nAnswer: -1b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -157, -281, -407, -535, -665?\n\"Answer: -u**2 - 121*u - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 264*g + 20. Let y be p(-10). Let f = -1834 - y. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63872 is divided by 318?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.8 - 0. Let y = 6 + t. What is y rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 + 7344*p + 3370896.\nAnswer: 4*(p + 918)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h**2 + 11. Let v(q) = 12*q**2 + 2 - 28*q**2 + 8*q**2 + 9*q**2. Calculate 4*f(g) - 22*v(g).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 4\/7, 2\/7, -2\/23, -0.05?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 45100*c - 45011*c - 4539 for c.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*r = -14, 5*k + 0*k = -r + 18. Suppose 3*i - 6*i - k*h + 87 = 0, 5*i - 145 = -4*h. Calculate the remainder when 113 - 1\/(2 - 3) is divided by i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 + 63. List the prime factors of l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g + 21 = 49 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-9\/2)*d**7*d)**(-36)\/((d*d**(2\/3)\/d*d)**(6\/19)*(d\/(d*d**(3\/4))*d)\/d**(-3\/2)) assuming d is positive.\nAnswer: d**(-12485\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2183 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (14678\/4 + (11 - 9))*2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37175*r - 36866*r + 8961 for r.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -7*i**3\/3 - i**2\/2 + i - 1. Let w = -6 - -5. Let k = 2 + w. Give s(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 36*l**4 - 21*l**3 - 21*l**2 + 6*l = 0.\nAnswer: -2\/3, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.3789*-12\nAnswer: 4.5468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 212.884 + -5.84.\nAnswer: 207.044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12566, 25135, 37706, 50279, 62854, 75431, 88010?\n\"Answer: k**2 + 12566*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i**2*z**2 - 1435*i**2*z + 88*i**2 + 4*i*z**2 + 5*i*z + 12*i + 4*z**2 + 18*z wrt i?\nAnswer: -6*z**2 - 2870*z + 176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 0*c - 3*c**2 + 2*c**2)*((4*c + 2*c**3 - 4*c)*(-2 + 1 - 1) + 1 - 1 + 2*c**3 + 29*c**3 - 66*c**3 + 53*c**3 - 104*c**3 + 17*c**2 - 17*c**2).\nAnswer: 90*c**5 - 180*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/6 + (-7813)\/(-78). Solve -96*i - 12 = -w*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11334401 is divided by 1133439.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(8\/3)*h)\/(h\/h**(-5\/7)) assuming h is positive.\nAnswer: h**(41\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.05, -1\/8, -1\/7 in increasing order.\nAnswer: -4, -1\/7, -1\/8, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -5*t**4\/2 + 16*t**2 + 61*t - 2. Let x(g) = 47*g**2. Determine x(m(j)).\nAnswer: 169200*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 90196692*k**2 - 711761382*k.\nAnswer: 180393384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2960 divided by 2?\nAnswer: 1480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -4. Let x = 4 - s. Let g = 23 + -21. Solve x = -3*j + 5*n, j - n + 8 = g*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -72 (b) 4 (c) -0.5 (d) 158 (e) 209 (f) 5\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 - -257. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 74894802 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4811878, 4811876, 4811874?\nAnswer: 4811872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57 and 6213?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 342\/3*62\/(3720\/20)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 20*v + 24. Give a(16).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 65*w - 52 + 146*w**2 + 145*w**2 - 277*w**2. Differentiate p(t) with respect to t.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 + 18520*d.\nAnswer: 4*d*(d + 4630)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.093? (a) 83\/438 (b) 1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 733.39 millilitres to litres.\nAnswer: 0.73339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 plus 6222?\nAnswer: 6222.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 132408065 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h - h + 5*h. Let x(f) be the second derivative of 0 + 9*f + 0*f**2 + 0*f**3 - 1\/3*f**4. Determine r(x(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, n: 3, h: 10, o: 2}. Give prob of picking 1 n, 1 o, 1 h, and 1 l.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6993.8 + 6994. Let j = -1\/12 - -41\/60. Put j, 98, a in increasing order.\nAnswer: a, j, 98","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 0*r**2 + r**2)*(2 - 8*r - 4 + 0).\nAnswer: 8*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -10*f**2 - 9*f - 59. Let s(q) = -8*q**2 - 9*q - 46. Give -6*s(p) + 5*t(p).\nAnswer: -2*p**2 + 9*p - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9205177?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -11011000110010001001 (base 2) in base 5?\nAnswer: -211403240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.912 - -0.088. Let x = 2.9 + -3. Let h = x - -0.4. What is the nearest to r in -0.5, h, -1\/6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 303 + 23*j + 35*j - 54*j.\nAnswer: 4*j + 303","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*w, -2*j + w - 36 = -w. Let s be -2 + (2 - (-12)\/j). Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162096937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 7*a - 6. Let q(v) = 20*v - 17. Let b(u) = 6*q(u) - 17*t(u). Let w be 13\/4 - 1\/4. Let n(m) = -m + w*m - m. Determine n(b(h)).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-8.4.\nAnswer: 1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -2550a7?\nAnswer: -2550a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 323340 and 102708.\nAnswer: 8730180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2103224?\nAnswer: 2, 19, 101, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 51\/2*s**4 + 0*s**3 + 120*s - s**2 - 3. Find the second derivative of a(z) wrt z.\nAnswer: 612*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 78.5 - 79. Let t = n + -57.5. Let o = -59.6 - t. Round o to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2133\/91 + 301\/13. Which is the closest to 0? (a) 2\/41 (b) n (c) -63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 5*t + 44 = 0, 3*v + 4*t = -15 + 59 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1114 - 3*h - 805 - 108 + 113 as r*h + k and give k.\nAnswer: -1914","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 3*m**2 - 2*m - 4. Let g be c(-4). Let q be (42\/(-9))\/(2\/(-6)). Let w = g - q. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + j + 1. Suppose -7 + 21 = h. Let b(c) = -h + c + 13 - 2*c. Determine -3*b(p) - 3*z(p).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 42*l**2 - 43*l + 160. Does 26 divide r(41)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -10. Is (0 - -1)*(-78)\/q a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + -1300012201031?\nAnswer: -1300012201103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d + 13. Let v be r(-9). Let k = 36 - v. Let u = -2 + k. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3630)\/2178)\/((-5)\/(-348)).\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 + 317*d + 942.\nAnswer: (d + 3)*(d + 314)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h - 5*h + 17676 - 36858 + 19182.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 2166.\nAnswer: 1\/2166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94, -377, -848, -1507, -2354, -3389, -4612?\nAnswer: -6023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 12:53 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p**(-15\/7)\/p))**(13\/6) assuming p is positive.\nAnswer: p**(78\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o**4 + 5*o**4 - 4*o**4 + (15*o**3 - 12*o**3 + 35*o**3)*(3*o + 0*o + 2*o))*(1 - 6 + 1) in the form d*o**4 + x*o**2 + z*o**3 + v + h*o and give d.\nAnswer: -756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2 = 2*k. Let f(r) = 3*r**2 + 3*r - 2. Let j be f(k). Suppose -25 = j*u - 9*u. Is u a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -c*f**3*h + 121620*c*f**3*x - 2*c*f**2 - c*h*x - 4*c*h - c*x - 218*f**3*h + 19 wrt x.\nAnswer: 121620*c*f**3 - c*h - c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/3 of a day?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2232.8 and -168.39.\nAnswer: -375981.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198323766?\nAnswer: 2, 3, 179, 61553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -544776651, -544776652, -544776653, -544776654?\nAnswer: -544776655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/(-21))\/((-625)\/(-375)))\/((-54)\/(-225)*10)\nAnswer: -1\/84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of p**3 + p**2 + 2*p - 3162. Let w(j) = -20*j**2 - 15*j - 15. Let t(q) = 4*q - 1. Let h be t(4). What is h*z(c) + 2*w(c)?\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 377\/52 + (-6)\/(-8). Let s = 8 + t. Let u be (3\/(15\/(-8)))\/(2\/(-100)). What is the greatest common factor of u and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -3. Suppose h = 4*g + 10 + 6. Which is the second smallest value? (a) -0.3 (b) g (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -53*h - 1838. What is the lowest common multiple of d(-41) and 670?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/5 and 37\/4630.\nAnswer: 4630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n - n - 7*n**2 - 8*n**2.\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-352)\/(-160)*(-30)\/55?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 8 = -3*s + 43, -3*p + 15 = -3*s. Calculate the highest common divisor of p and 152.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - -5) + (-1 - -2). Suppose f*y = -3 - 1. Let x(u) = 4*u**2 - u. List the prime factors of x(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of l**5\/15 - 25*l**4\/3 + 1250*l**3\/3 - 11*l**2\/2 - 3*l - 1. Let o(p) be the second derivative of s(p). Factor o(u).\nAnswer: 4*(u - 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*n**2 - 10*n**2 + 90*n - 29*n**2 + 24*n**2.\nAnswer: -38*n**2 + 90*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 20*d**5 - 125*d**4 - 785*d**3 + 290*d**2 + 600*d = 0.\nAnswer: -4, -3\/4, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, v: 1, z: 1, h: 2, f: 1, o: 1}. Give prob of sequence vfoh.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 548\/(70\/20 + (-2 + -1)*1).\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -1465*t + 22 - 8 + 1470*t. Is 28 a factor of i(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**3 - 3*y**3 + 1295*y - 1291*y - 11 + 2*y**2. What is d(6)?\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 + 1 - 12)*(-4*c + 2 - c + 7*c).\nAnswer: 20*c + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 435972 divided by -63.\nAnswer: -145324\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1637.\nAnswer: 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 8, -4*q - 3 = 3*m + 9. Suppose q = -12*y + 9*y. Suppose -4*p = -n + 55, -n + 0*n - 4*p + 47 = y. List the prime factors of n.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*g + 6 = -21, -5*g - 18 = m. Let k(v) = 3*v**2 + 25*v + 22. Let f be k(-8). Calculate the highest common factor of m and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12426 + 186344 = p. Let m = 476906 - p. Let i = -122988 + m. Round i to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1975181279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*y, 4*d - 5*y = -0*y + 22. Let l = -11150 + 11155. Sort d, -4, l in descending order.\nAnswer: l, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -3. Let z be ((-1 - -4)\/(-3))\/(57\/6). Which is the closest to t? (a) 2\/11 (b) -1\/2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - -3) + -3 + 34 + 0. Calculate the greatest common divisor of g and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/8*(-22)\/(-165)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 11 = 9 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rfwirfriiiiigiigiir. Give prob of sequence gf.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.96 + -0.04. Let m = 9 - y. Let p = 7 - m. Which is the third smallest value? (a) -0.5 (b) -2\/13 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/4 - 3\/4. What is the biggest value in y, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -5*d - 9. Let j be f(-4). Suppose -2*i = j - 15. Let k be 1*9 + -2 + 1. Solve i*m = -2*m + k for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 7*h**2 + 4*h + 27. What is v(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1036 = 5*q + x - 313, 0 = 5*q - 2*x + 714. Let n be q\/(-960) - (-1)\/4. Determine z, given that 4\/5*z**3 - 4\/5*z - 2\/5*z**4 + 0 + n*z**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 1344*q**5\/5 + 1330*q + 1711. Differentiate j(w) with respect to w.\nAnswer: 5376*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 5*k + 7\/2*k**2 + 5\/3*k**3 + 1\/4*k**4 - 1. Give o(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 38, -3.5, -11 in descending order.\nAnswer: 38, 1\/3, -3.5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/6*(65 - 2322\/36). Factor -5408\/3 - o*y**2 + 208\/3*y.\nAnswer: -2*(y - 52)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(14 - 12)*2\/(-4). Solve 5*a - 7 = 2*f, 4*f = 5*a + r - 11 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3159 is divided by 23.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 + 31. Let q = -3.05 - -0.05. Let j = q - -1. What is the second smallest value in x, -0.4, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*v + 4930 = 83*v + 122*v for v.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12899 is divided by 461?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3681*m - 44193. Determine i(12).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 888495*v**3 + 0*v + 0*v - 888510*v**3.\nAnswer: -15*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -13. Let i(f) = -2*f**2 + 2*f + 1. Let a(g) be the first derivative of -4*g**3\/3 + 3*g**2\/2 + 2*g - 2. Determine y*i(z) - 3*a(z).\nAnswer: 2*z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 3 + 3)*(17*u**2 + 24 - 24).\nAnswer: -17*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.33 (b) 4 (c) -3\/8 (d) 2\/71\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 - 55 = 6*i - 14 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15870.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000008335 to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/(-8 + 55\/7). Let i = 42 - v. Let c(z) = z - 5. What is c(i)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p - p + 2*p - 4*p + 5*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49594 is divided by 93?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4*t - 11, -r + 0*t = 5*t + 13. Let m = 11 + r. Calculate the remainder when 22 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6ac83 (base 15) to base 9\nAnswer: -567746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6889 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 10*b**2 + 4*b - 46. Let l(s) = 10*s**2 + 5*s - 46. Let u(x) = 4*l(x) - 5*t(x). Differentiate u(z) wrt z.\nAnswer: -20*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6179 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-35)*-1*(75\/40)\/(-3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 2*p - 2*p + 10 = 0, 2*p = -3*j - 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -9*r**5\/20 + r**4\/4 + 3*r**3\/2 - 3*r**2\/2 - 7*r. Find l such that g(l) = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 5*b**2. Let j(o) = -4*o**2. Suppose 2*t = -5*p + 35, -p + 23 + 7 = 5*t. Suppose -c = c + 5*q - 1, -5 = -p*q. Calculate c*g(v) - 3*j(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from oooookok.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -1, 4, -1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 3*u + 469 = 482, -q - 4*u = -11 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-532)\/(-6) - (1 + 4\/(-3)). Let q = 92 - f. Calculate the lowest common multiple of q and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91333089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k**2 - 10*k**4 + 6*k**4 - k - k**2 to the form y*k + i*k**2 + x*k**4 + s*k**3 + h and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 6 = -5*x. Let m be (x\/1)\/3 - (-65)\/125. Is -1 >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2)**22\/((a*a**(-9))\/a*a**(-3)) assuming a is positive.\nAnswer: a**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2 - c + 0)*(-5*c + 4*c + 5*c)*(1 + 3*c - 1) to q*c**2 + y*c**3 + r + m*c and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 5*m + 31. Let a be c(-8). Let g = 70 - 67. Suppose 60 = -2*u - g*u. Which is greater: u or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (128\/(-24))\/(((-168)\/(-36))\/14)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 8 - 20 - 16*g**2.\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 12*y - 11, 89 - 87 = 5*o + y + 39 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 253.6? (a) 1 (b) -2\/5 (c) 105\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*k - 7*k**2 - 5*k + 8*k**2 + 0*k**2 wrt k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-120)\/42*(-77)\/6*((-17766)\/235)\/(-42).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -793*(14305\/305 + -47).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -28 (b) -1 (c) -3\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 82151*q**3 - q - 77280.\nAnswer: 246453*q**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**5\/2 + 3*q**4 + 35*q**3\/2 + 24*q**2 + 10*q = 0. Calculate q.\nAnswer: -2, -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4452 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + g + 2349 = 0. Let z be g\/6 - (-1)\/(-2). Suppose 0 = y - 3*y - z. Round y to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 142131361?\nAnswer: 142131354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 132770\/102 - (-1)\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4817 - -1?\nAnswer: -4816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(567))**2*2 - (sqrt(1008) - (sqrt(1008) - (sqrt(1008) + -1)))) + 5.\nAnswer: -12*sqrt(7) + 1145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 354 - 63283971.\nAnswer: -63283617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*z**3 + 149*z**2 - z**4 - 6*z**3 + z - 30*z**2 to r*z**2 + q*z**4 + j*z**3 + n + m*z and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, t: 8, c: 2, y: 5}. What is prob of picking 2 w and 1 y?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 10:53 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 13, -2, 12.6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 2) + (-5 - -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137 - 8*w + 196*w**2 - 137 + 2*w**3.\nAnswer: 2*w**3 + 196*w**2 - 8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1b (base 13) to base 11\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(600) - (sqrt(126)\/sqrt(3))\/sqrt(7))\/(sqrt(21)\/(sqrt(35)\/sqrt(5)) + sqrt(6)\/(sqrt(2)*1)).\nAnswer: 9*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*l**2 + 51*l**2 + 59*l**2 - 279*l**2 + 53*l**2 + 51*l**2.\nAnswer: -19*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -p**2 + 4*p + 2. Determine x(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**3 - 9*o**3 + 7*o**3 + (o + 5 - 5)*(-7*o + 2*o + 3*o)*((3 + 0 - 2)*(-2 - o + 2) - 3 - o + 3 - o + 2*o - 3*o).\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8*(-3)\/2*-1. Suppose 4*h - 1 = 3*v + 11, 0 = 4*v + 4*h - m. Let f = v - -7. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhgihhhhggigg. What is prob of picking 1 i and 3 g?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 6. Let k be 4\/8 + (-1)\/x. Factor 1\/4*s**3 + 3\/4*s - k*s**2 - 1\/4.\nAnswer: (s - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18884 and -0.7.\nAnswer: 13218.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2747 - 2747. Solve -3*p - 2*r - 4 = 0, -5*p + l = -r + 24 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-120)\/(-144)*4\/10.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m\/(m*m\/m**(-2\/7)))))**(-45)\/(m**(-9\/7)*m*m**(10\/9)*m*m))**(-2) assuming m is positive.\nAnswer: m**(-6934\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 51904*k - 51969*k - 845 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**3 + 6*x**2 + 6*x - 16. Let v be b(3). Let -1\/4*a**3 + v*a**2 - 4*a + 0 = 0. What is a?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10374265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9831077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 297554 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 204 = -6*p. Suppose 4*r + y = p, -7*y = -2*r - 2*y + 31. Suppose 0*o + r = a + o, 2*a - 30 = 2*o. What is the remainder when 39 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o - 3*o - 2*o + 4*o + o - 3*o + (4*o + o - 4*o)*(1 + 0 + 1).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 61*y - 1. Let o(b) = 124*b - 2962. Calculate -2*g(f) + o(f).\nAnswer: 2*f - 2960","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 9 + 12 = 0. Let m(x) = 12*x**3 + 2*x**2 - 2*x + 1. Let w be m(o). Calculate the highest common divisor of 234 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 212*k**2 - 425*k**2 - 28*k + 34*k + 211*k**2 + 37*k.\nAnswer: -2*k**2 + 43*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 2)*(i**2 + 3*i**2 - 7*i**2).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -114 - (-111 + -78 + 137)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/19, 16\/9, 3, -3\/2.\nAnswer: -3\/2, 6\/19, 16\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) -0.1 (c) -36 (d) 178 (e) 4 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3*n = -10*s + 60, -s - 3*n = -30. Suppose -8*h + 840 = -s*h. Which is smaller: -118 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 11:22 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 4\/5 (b) 1 (c) -0.8 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -29190, -3\/4, -2, -4\/5, -1\/8?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 15 = 0, -5*k + 0 + 21 = -o. Suppose -o + 2 = h, -2*h = -4*c + 16. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -349.5 and 53?\nAnswer: 402.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 8*u + 16. Let n be w(-6). What is the second derivative of 5*b**5 - 4*b + 181*b**n - 181*b**4 + b**5 wrt b?\nAnswer: 120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 2. Suppose -l + 10 = -3*u - 0, j*u + 40 = 5*l. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 4*d**5\/5 + d**4\/12 + d**3\/6 - 10*d**2 - 46*d. Let k(y) be the first derivative of s(y). List the prime factors of k(-2).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -59 in 0.5, -1, 0.3, -5106?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 - (-31 + -41 + 29).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 491562 - -246347. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8 - 1\/1 - 777\/4704*42. Let g(q) be the second derivative of 0*q**2 + y*q**4 + 0*q**5 - 1\/120*q**6 + 0 + 17*q - 1\/12*q**3. Find l, given that g(l) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 283, 9 in decreasing order.\nAnswer: 283, 9, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 639, 1286, 1935, 2586, 3239, 3894, 4551?\nAnswer: 5210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30269?\nAnswer: 30269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 79477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-18))\/((-247)\/(-57))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 4:12 AM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1789376235 to the nearest integer?\nAnswer: 1214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -8*p + 4. Let j(z) = 1. Let o(l) = -4*j(l) + r(l). Let y(q) = 19*q. Calculate y(o(c)).\nAnswer: -152*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) -1\/6 (c) 3503 (d) 134\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*g = -22*g + 3*z, -z - 3 = 4*g. Which is the closest to 12? (a) 1\/2 (b) g (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 2 + (3 + -6 - 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + h = -3, s + s = -2*h + 10. Suppose -s*m + 12 = m. Sort -1, 0, m in increasing order.\nAnswer: -1, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*c**2 + 34*c**2 - 101*c**2.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 843 and 9727096.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/14)\/((-99)\/(-968)) - 4. Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*5*(sqrt(2057) - (0 + sqrt(2057) - sqrt(2057)) - sqrt(2057)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -1669*h**2 + 1682*h - 10. Calculate o(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) -442 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2 - (-12 - -8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 3*d + 8 + 8, -4*x - 5 = 5*d. Let f be ((-26)\/(-39))\/(x\/3). What is the nearest to f in -0.3, 5, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 + 29. Is 1 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.795 - 23.8.\nAnswer: -22.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 + 3*o + 1. Let h be w(-2). Suppose 0 = n - 7 + 3. Suppose 2*t - m - 13 = 16, -4*m = 4*t - 28. Solve 23 = -n*v - 3*c, v - c = -h*c - t for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 46805, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5764 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12090 is divided by 12088.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -82700, -82695, -82690, -82685?\n\"Answer: 5*f - 82705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 92 + 145128?\nAnswer: 14520a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*u - 3 = -156*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-610 + 60\/(-6))\/(4\/(-2)).\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 286645808 by 37.\nAnswer: 7747184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 9*k + 5. Let o be l(9). Suppose -5 = o*m - 20. Solve -s = -3*g - 4*s + m, 0 = 5*g + 4*s for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*v**3 + 12\/5*v + 8\/5 + 6\/5*v**2.\nAnswer: (v + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/5, 4.2, -21\/42038?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 328 + 104 = 3*f. Let j(g) = g**2 + 3*g + 20. Let r be j(-11). What is the greatest common factor of f and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 25 - 11*w**2 + 13 + 3.\nAnswer: -11*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -2\/27, -3, 21?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kokw when four letters picked without replacement from kwiomwkmzmwww?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, 8, 11738 in descending order.\nAnswer: 11738, 57, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 5*t = -3*l + 22, -2*t = l. Suppose -l = o - 2. Calculate the lowest common multiple of -8 + 19 + o*1 and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = -2*u - 4*g + 3*g, 72 = u - g. What are the prime factors of u?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 832 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 21*b - 22*b. Let v = 298 + -155. Calculate the greatest common factor of b and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**2 + 2*l - 2. Let w be g(-2). Find the third derivative of -w*v**2 + v**5 + 2*v**2 - 3*v**2 wrt v.\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35 + 3 - 34 + 11)*(-58*j - 103*j + 113*j)*(-j**2 + 0*j**2 + 2*j**2).\nAnswer: 2640*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -15\/105952312 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 - 37.95. Let f = 11.05 - 11. Let t = u - f. What is the biggest value in -0.3, t, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 5*a + 5. Suppose -2*i - 2*i = -12. Let g be (-4)\/i*((-6)\/(-1))\/2. What is the tens digit of v(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -16 + 10 - (-2 - -12 - 36)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52 - 52.5. Which is the nearest to 0.1? (a) n (b) -10 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -927181.972 rounded to the nearest 1000?\nAnswer: -927000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 11, n: 9}. Give prob of picking 1 z and 2 n.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2 - 6*q - 36. Let d be 1 + 3*16\/(-12). Let f be j(d). Factor -3\/2*z**3 + 3\/2*z**4 - 1\/2*z**5 + 0*z + 1\/2*z**2 + f.\nAnswer: -z**2*(z - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 132 - 110. Calculate the smallest common multiple of l and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/18 + (-160)\/(-3). Suppose -4*r + 3*r + 4*o = y, 3*o = -4*r - 159. Find the common denominator of 83\/54 and (-313)\/(-90) + r\/(-15) + -3.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/414*(-1232)\/(-3080))\/((-1)\/(-3)).\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6944, -13754, -20566, -27380?\n\"Answer: -v**2 - 6807*v - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(70) - -2*sqrt(70)*1)\/((2*sqrt(110))\/sqrt(11)) - ((sqrt(343) + sqrt(343) + 0 + sqrt(343) + sqrt(343) + 1 + sqrt(343))**2 + -2)).\nAnswer: -8574 - 137*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(700) + 0)**2.\nAnswer: -80*sqrt(7) + 716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, u: 1, k: 3}. What is prob of picking 1 p and 1 u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80066 and 91504.\nAnswer: 640528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 180 = 3*y - 2*r, -5*y = -2*r + 300. What is the hundreds digit of 91\/26*(-7)\/(14\/y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*o**5 - 5963*o**4*x - 3961*o**2*x + o**2 - 2 wrt o.\nAnswer: -180*o**2 - 143112*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17664411 is divided by 29889?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 50*j = 247580 - 729620. List the prime factors of j.\nAnswer: 2, 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -142\/9*l + 0 - 2\/9*l**2.\nAnswer: -2*l*(l + 71)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q + 13. Let i(d) = -195*d - 94. Let w(a) = 3*f(a) + i(a). Let u(h) = -11*h - 3. Give -55*u(k) + 3*w(k).\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1916 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + w + 10. Let d be q(-6). Let l = d + -14. Calculate the greatest common divisor of l and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 20*m - 43. Let x be u(2). Let c(q) = -4 + 4 + 1 - 2*q**3 - 2*q**2 + 2*q. Let a be c(-2). Sort x, a, 4 in decreasing order.\nAnswer: a, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*g + 1773 = 1423 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 5*r - 4. Let a be z(-6). Let k be a\/10 - 38\/(-10). Suppose -k*v - n + 75 = 0, -2*n = n - 9. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -74\/645 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 74 = n - 128, 4*n - 2*p - 814 = 0. Suppose -3*g = -5*u - n, 0*g + 2*g - 130 = -2*u. What is the greatest common factor of 12 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -128 - -168. Suppose -39*l - w = -47*l. Let f(g) = 3*g**2 + 10*g + 13. Let u(i) = -2*i**2 - 7*i - 9. What is l*f(m) + 7*u(m)?\nAnswer: m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -25. Let m be (u\/10)\/(4\/(-20)). Suppose -5*g = 5*q - 25, -q = -6*q + m*g + 61. Solve -4*h + q = -3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-50)\/(-30))\/((-1)\/(-63)). Suppose 3*c = -2*c - i. Is (28\/c)\/((-2)\/66) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 35.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (16\/(-12))\/(3*(-3)\/(-2646)). Let t = m - -468. What are the prime factors of t?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = x + 10, 5*l - 4*x - x = 5. Suppose t - 101 = -3*n - l*t, n - t - 22 = 0. Let r be 6\/n + 34384\/(-18). Round r to the nearest one hundred.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15012?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -6*y**3 + 28*y**2 - 26*y - 4. Let g(q) = -43*q**3 + 0 + 54*q**3 + 6 + 53*q - 55*q**2. Let p(v) = 2*g(v) + 5*u(v). Let p(t) = 0. What is t?\nAnswer: -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 3*v + 0*v)*((v**2 + 2 - 2)*(-v + 0*v + 0*v) + (9036 - 9036 - 45*v)*(2*v**2 + 0*v**2 + 0*v**2)).\nAnswer: 91*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c = 18*c - 90. Solve 3*u + 5 = 2*k, -5*k + 5 = -4*u + c for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 550*j**3 + 786*j**3 - 2 - 1339*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54981546 by -18327182.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 2)*(-18)\/(-9). Suppose b - 153 = -a*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - j - 4*l = 4, -4*j + l + 1 = 0. Suppose 5 + j = i. Let w be (-2)\/(-20)*(-70)\/i. Which is smaller: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-3\/2)*l*(l**(-10)\/l)\/l assuming l is positive.\nAnswer: l**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w. Let z(b) = 739 - 739 + 64*b - 19*b. Calculate z(n(o)).\nAnswer: -90*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (108\/48)\/((-21)\/(-28)). Let h = -208\/15 + 41\/3. Sort h, j, -2 in descending order.\nAnswer: j, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -66 + -26. Let g = -61 - r. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 586 a factor of 59417481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 911503063?\nAnswer: 53, 17198171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 3, -56, -9, 4 in descending order.\nAnswer: 4, 3, -9, -16, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-1 - 1))\/((-1)\/6). Let a be (-12)\/(-2*3\/4). Let l = m - a. Solve 4*t = j - l*j - 11, 0 = -4*t + 2*j - 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -8 + 6 + -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.41 + -2.81. Let z = k + 8.7. Let i = z - 2.3. Which is the nearest to i? (a) 0 (b) 0.1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -19389263.\nAnswer: 2\/19389263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22869 is divided by 1904.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 348890.7 - 348927.69977. Let t = 37 + x. Round t to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170056912?\nAnswer: 2, 10628557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-7)*m**(-9))\/((m**0*m)\/m)**(-3\/8))**(2\/7) assuming m is positive.\nAnswer: m**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 3, -2\/23, 179847?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -943.8299 to the nearest integer.\nAnswer: -944","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 - l**3 + 17 - 10*l**2 + 7 + 18*l - 9 in the form s*l + o + f*l**3 + n*l**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 37\/13. What is the fourth smallest value in -5, y, 2\/13, -2\/5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (4 - 1)) + 1 + -65 + 5248 + -5257?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -384 and -0.5699441.\nAnswer: -384.5699441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 144 - 108. Suppose 0 = -8*v + 2*v + y. Find the third derivative of 2638*j**3 - 2638*j**3 + 8*j**2 + 23*j**v - 37*j**2 wrt j.\nAnswer: 2760*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 3*y + 11 - 1360, b + 5*y - 350 = 0. What is the remainder when b is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 13 + 39 + 2*w**2 - 13.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -89*x**2 + 416*x + 5. Let j be u(5). Do j and 16 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/15 of a day?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by (-6)\/21 + (-132)\/(-21).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 169573371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dwz when three letters picked without replacement from {p: 6, z: 3, d: 1, w: 1, u: 1, g: 1}?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 466436917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.1 + -6.176. Let x = z - 0.032. What is x rounded to 2 dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -89, 0.5, -2\/3 in ascending order.\nAnswer: -89, -2\/3, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, 2, 44, 124, 254, 446, 712?\nAnswer: 1064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/(-4))\/(0 + 1))\/(76\/(66500\/105)).\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 6*q**2 + 2*q - 5. Suppose 4*v + v = 30. Suppose -w - v = -0*w. Is n(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 480, 1035, 1588, 2139, 2688?\n\"Answer: -m**2 + 558*m - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -85 - -128. Is 12 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 1:35 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62 + -37. Suppose 5*m - 2*f = -f + 255, 0 = -5*f - r. Let q = -30 + m. Solve 2*o - 2 = 4*w, -4*w + o + q = -9*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifty-nine quarters of a kilogram?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 5)*(4*b - 4*b - 2*b) + (4 - 1 - 2)*(6338 + 49*b - 6338).\nAnswer: 53*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -5*m - 4*g + 1287, -9*g = 5*m - 1248. Solve -12*b + m = 279 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/18*1*(-297)\/66?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (10\/(-6))\/(-2*4\/1608) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1194203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 220 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, w: 1, j: 3, h: 6, y: 1, s: 3}. What is prob of sequence jqw?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -27*j + 87. Determine m(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.16201263 + -0.162. What is i rounded to 6 dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**2 - 47*c + 1388. What is u(17)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 530, 529, 528, 527, 526?\nAnswer: 525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*g + 13*g**2 - 1 + 3*g + 3*g + 9 wrt g.\nAnswer: 26*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -8. Let f be ((-8)\/b)\/((-20)\/45). Calculate the greatest common factor of f and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 7*r**2 - 11*r - 1. What is s(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 0\/(-2)) + (15 - 11). What is the third derivative of 10*f**3 + f**y - 63*f**2 + 15*f**2 wrt f?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 2:58 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -500 - -1360. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 6. Let v be y(6). Let d(g) = -3 + g**3 + 4 - 6*g**2 + v*g**3 + 5*g. What is the units digit of d(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -11a12d9?\nAnswer: 11a12d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/38 + (-11544)\/77064?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f*f\/(f\/(f*f*f**(1\/3)*f)))\/f*(f\/(f*f**(-6)*f))\/f)\/(f**0)**(-2\/7) assuming f is positive.\nAnswer: f**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of 0 - 1\/2*m**3 + 0*m + 3*m**2 - 7\/24*m**4. Let g(x) = 13*x + 5. Calculate -4*g(u) - 7*k(u).\nAnswer: -3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-84) + 200\/(-28). Let o be 1200\/525 - (-2)\/n. Solve c + 13 = -3*m + 7*m, -4*m = 2*c + o for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of 0*w + 0 + 1\/12*w**5 + 6*w**2 + 0*w**3 - 1\/2*w**4. Find the second derivative of o(p) wrt p.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - c - 3 = 0, 0*g + 2*g + c = 4. What is the remainder when (26\/6)\/(g\/9) is divided by (10 - (-253)\/(-33))\/((-2)\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -204 - -183. Are g and -106\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1))**(-3\/4)*(n**(2\/15)*n)\/n**12 assuming n is positive.\nAnswer: n**(-607\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of 0*p**2 - 3 - 11*p + 1\/3*p**3. Let f(w) be the first derivative of i(w). Let c(a) = -a**2. Calculate c(f(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2079174806 or 0?\nAnswer: -2079174806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 119*k - 198. What is h(6)?\nAnswer: 516","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 984 divided by -431117\nAnswer: -984\/431117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*s + 58*s - 155 = -3389 for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times -11.281555?\nAnswer: 78.970885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -8*t - 11\/12*t**4 + 0*t**2 + 0*t**3 + 0*t**5 + 2\/15*t**6 + 0. Find the third derivative of u(j) wrt j.\nAnswer: 96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5, 26, 67, 134, 233, 370?\n\"Answer: t**3 + 4*t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -518, -2, 1, -5, -4363, 5 in increasing order.\nAnswer: -4363, -518, -5, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 7*o + 4. Let i(d) = d**2 - 10*d + 2. Let v be i(10). Suppose -v*x - 9 + 1 = 0, -x - 9 = m. Determine s(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 5 - -1 - -2 - 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 223 - 433. Let h be ((-2)\/12*-2)\/((-10)\/g). Solve 0 = -h*w - 21 - 14 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16897 less than 2295?\nAnswer: 19192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1116 and 516?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.72 + 270.28. Which is the biggest value? (a) 5 (b) t (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.239 + 4.761. Which is the third smallest value? (a) -2\/13 (b) -0.2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-1)*5*(-6)\/195.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 + -37. Let -2*l**2 - 3*l**2 - 2*l**h + 6*l**2 = 0. Calculate l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/13 (b) 5 (c) -4 (d) -34 (e) -0.0866\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 times -3599?\nAnswer: 107.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1.293?\nAnswer: 1.293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.82 - 3651\nAnswer: -3650.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 2:06 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 16 = -q, 0*q + 3*q = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1458 or -281278\/193?\nAnswer: -1458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 1\/3, -1, 4\/3 in ascending order.\nAnswer: -1, -2\/13, 1\/3, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -9*(91\/(-42))\/13\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 92239072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3 = 5*p, 3*p + 3*x = 1 + 8. Which is bigger: -1\/68 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 99 - 96. Find the second derivative of 9*d**3 + 121*d**2 + 1 + m*d**3 + 4*d - 117*d**2 wrt d.\nAnswer: 72*d + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 341909914 to the nearest integer?\nAnswer: 18491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*c - 59*c + 114*c - 11350 = 16522 for c.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 0*z**2 + 0*z - 4 - 5\/3*z**3. Let a(x) = -x. Calculate a(o(p)).\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3779*x - 18934. Give j(5).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 131406678?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-15))**(2\/15)\/((p*p**(-28))\/((p\/(p\/(p\/p**(11\/3))))\/p)))**17 assuming p is positive.\nAnswer: p**(1088\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-176 - -197 - (2 - 49)) + -20 + 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5*6\/15*(-23 + 25). Solve -13*w + b*o = -11*w - 12, -5*o - 41 = 4*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**5 - 300*y**4 + 55664*y**3 - 586668*y**2 + 2050290*y - 2349000 = 0.\nAnswer: -261, 3, 5, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 55820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*i + 16\/11*i**2 + 0 - 2\/11*i**3 = 0. Calculate i.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b - 3. Let m = -20 + 35. Let w be (3*(-10)\/m)\/1. Let t(v) = -v + 1. Let a(h) = w*t(h) + r(h). Calculate a(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**2 + 6*s - 7. Give b(7).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 8*d**2 - 10*d + d**3 + 14*d**2 - 12*d**2 + 15. Let f be l(-11). Suppose -6*g + 5*g = 12*g. Solve -3*j + 8 = o, f*j - 19 = -3*o - g*j for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 144526?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (58\/348)\/(((-15)\/(-18))\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 294 = -34. Let h(i) = -i**2 - 9*i - 14. Let a be h(-7). Suppose b + 11 - 37 = a. Calculate the greatest common factor of q and b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 1338, -138?\nAnswer: 1338","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -39. Suppose 31 = 4*w - l. Does 16 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -j*q**2 + 82*j*q + 143*j + 29*q**2 - 309*q + 7800 wrt q.\nAnswer: -2*j*q + 82*j + 58*q - 309","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1996484801?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/33839 = -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**6\/15 - 39*s**5\/10 - 105*s**4\/2 + 441*s**3 - 2047*s. Determine n so that l(n) = 0.\nAnswer: -21, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2678 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**5 - 3*o**4 - 18*o**3 = 0. Calculate o.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 12505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1088) - ((sqrt(1088) - (-2 + sqrt(1088))) + sqrt(1088))) - ((1*sqrt(833) - sqrt(17)) + sqrt(68)\/(sqrt(36) + sqrt(4))).\nAnswer: -25*sqrt(17)\/4 - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a microgram in nanograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4640177389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2*(-71)\/4*2 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1101 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15056227643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 4*c**2 + 32*c + 11. Suppose s = -5*z - 57, -13*z - 61 = -8*z + 3*s. List the prime factors of o(z).\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + u + 16 = 0, -u + 1855 = 5*v + 1879 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 18 = -6. Factor 0*k - t*k - 2*k**2 - 7*k + k.\nAnswer: -2*k*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -122*r + 837. List the prime factors of f(-89).\nAnswer: 5, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -536*w**3 - 561*w**3 - 250*w**2 + 250*w**2.\nAnswer: -1097*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2677932 to the power of 1\/2, to the nearest integer?\nAnswer: 1636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 11*f + 13. Let c be h(10). Solve -c*i - 4 = 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1362?\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 4*f - 2*f = 26, -310813 + 310882 = 3*k + 6*f for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -32*x + 15. What is the units digit of u(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, b: 1, n: 4}. Give prob of picking 2 n.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (4\/21*15)\/(4\/(-14))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -2*s**2 + 5 + 0*s + 0*s**4 + 0*s**3 - 71\/6*s**6 + 0*s**5. Find the second derivative of v(d) wrt d.\nAnswer: -1420*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -160*z + 162*z - 398. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*y**2 + 31 - 29*y**2 + 0*y - 10*y**2 + 6*y - 7*y**2 as t*y**2 + i + a*y and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -7. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -170 + 515. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.63? (a) -0.8 (b) 2\/11 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u - u + 3*u)*(-2 + 1 + 4 + (1 + 0 + 1)*(4 - 3 - 3)).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5*2\/5)\/(-2). Sort 3, q, -4 in increasing order.\nAnswer: -4, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 5*y - 10, -3*k + 5*y = -0*y - 10. Put -5, k, 4, 3 in descending order.\nAnswer: 4, 3, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from nnpnnnpp.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 2*j + 18 = 0. Suppose -j*a + 3*a - 7 = 0. Suppose 335 - 97 = a*u. Does 6 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 7*a - 6 = 0. Let u be (-51)\/1 + (-10)\/(20\/a). Let q = -45 - u. Solve -26 = 2*k + 4*c, 5*k + q*c = c - 33 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4274003?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (81\/(-15) - (-11)\/((-22)\/(-8)))\/(-1)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -232\/5*d - 14\/5*d**3 - 24*d**2 - 96\/5.\nAnswer: -2*(d + 2)*(d + 6)*(7*d + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 5*o**2 + 2*o + 1. Determine a(-4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 v when two letters picked without replacement from {v: 1, c: 1, u: 1, f: 2, p: 1, y: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -119*h**2*x**2 + 22*h**2*x + 27*h**2 + h*x - 7328*h - 2*x**2 + 1 wrt h?\nAnswer: -238*x**2 + 44*x + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 78093110 a multiple of 2581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18589 + 18614. Solve 4*p - 3*v = c, -5*v = p + 2*p + 3 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136228 is divided by 15107.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/9 and -8 - (8 + (-7768)\/528)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s + 4. What is b(-4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -1\/2*w**5 + 0*w**2 + 0 + 1\/6*w**6 + 5\/3*w**3 + 14*w - 5\/12*w**4. Determine x, given that r(x) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46713*c**3*n**2 + 102*c**3 + c**2 - 9130*c - 2*n**2 + 90*n - 7 wrt n.\nAnswer: 93426*c**3*n - 4*n + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 125073.5 and -0.4?\nAnswer: -50029.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 15. What is the units digit of d(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 38 = -11. Let n be (8\/(-6))\/(35\/(-63)). Does u = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 4*g**2 - 4*g - 2. Let n be k(-3). Let o = -19 - -17. Let w be (0 + -2)\/(0 + o). Do n and w have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-8)*(-1)\/(-1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 11*i - 1. Let c be a(2). Is c > 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.05 - -5. Let g = 3.05 + x. Suppose 5*k = -4*z - 5, 1 = -3*k + 4*z - 2. Which is the closest to k? (a) -0.3 (b) g (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31 + 2242?\nAnswer: 2211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/15 - (-204)\/15. Let p be 485\/(-35) + (-2)\/r. Let h = p - -24. Is h at most as big as 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 90 in increasing order.\nAnswer: -1, 4, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 820143721.\nAnswer: 19, 43165459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = b - 4*b. Suppose -4*m = -5*m - 4. Suppose -4*r + 55*i - 40 = 63*i, 12 = -r - 3*i. Put 1, m, r, b in descending order.\nAnswer: b, 1, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 14) in base 15?\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 4*a - 4480, 2*r - 3*a = -8*a + 2254. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and -31329.360686.\nAnswer: -31326.360686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/((l**(-4\/7)\/l)\/l))\/(l\/l**(25\/3)) assuming l is positive.\nAnswer: l**(250\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + -17. Suppose g = n - 6*n + 70. Suppose -19*y + n*y = -5. Solve h - y + 5 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1510 + -1514.1. Which is the closest to 3? (a) 0.1 (b) f (c) 1\/3 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d*n*o*u + 2*d*n*u**2 + 3*d*n*u - 4*d*o - 3*d*u + 2*n + 2*u**2 - 2*u wrt n.\nAnswer: d*o*u + 2*d*u**2 + 3*d*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 5*b - 72856, k + 0*k - 24289 = -2*b. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16563, -1137, 3\/2 in ascending order.\nAnswer: -16563, -1137, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -673, -2702, -6083, -10816, -16901, -24338?\n\"Answer: -676*p**2 - p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 922*n - 109 = 932*n - 739 for n.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 372\/84 - 6\/14.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 291, 579, 865, 1149, 1431, 1711?\nAnswer: 1989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 420.6109 decades to centuries.\nAnswer: 42.06109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gqgggggqgggggq. Give prob of picking 1 g and 1 q.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36 - -18) + 25 - -18) + 20?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -378*a**3*i**3 + 126*a**3*i**2 + 44*a**2 + 11*a*i**3 + 2*a*i**2 wrt i?\nAnswer: -2268*a**3 + 66*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 9037.\nAnswer: 36148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/((v*v*v*v**13)\/v))\/v*v)\/v**(-12\/5))\/(v**(4\/5)*v*(v\/(((v\/(v\/(v\/(v*v\/v**(-4))))*v)\/v)\/v))\/v*v*v) assuming v is positive.\nAnswer: v**(-107\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3673 divided by 4?\nAnswer: 3673\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 - 17689*h**2 + 8111925*h - 918286875.\nAnswer: -(h - 225)**2*(h + 18139)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a week?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a. Let i(x) = 4592*x. Give d(i(h)).\nAnswer: -9184*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 59*s**2 - 430*s + 21. Give b(-65).\nAnswer: 2621","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*a = -36, 0 = x + 6*a - a + 9. Calculate the least common multiple of x and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 65 = -51 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(2\/5))**(-9\/4)*((d*d**0*d)\/d)**(1\/2) assuming d is positive.\nAnswer: d**(-17\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.471653 millennia?\nAnswer: 471.653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002743648 rounded to 6 decimal places?\nAnswer: 0.000274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 139*x - 116. Let q(c) = -140*c + 118. Let w(j) = -2*q(j) - 3*t(j). List the prime factors of w(-5).\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 839*c + 25431. What is t(-30)?\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.8 + -7.8664. What is h rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**4 - 4*f**4 + 3*f**4 + 0*f**4 + 3*f**4 - 2*f**4 + (2*f**3 + 0*f**3 + 0*f**3)*(5*f + 0*f - 4*f) - 2*f**4 + 0*f**2 + 0*f**2)*(-11*f + 30*f + f).\nAnswer: 60*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 5319*q**2 - 4*q. Let f(u) = -5770*u. Calculate x(f(t)).\nAnswer: 177084935100*t**2 + 23080*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.08 - 0.05. Let w = s + -0.03000007. What is w rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260480 divided by -65120?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 357 + 34?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(5\/2)*w)\/(w\/(w\/w**(9\/5))))\/(w**(-37)\/(w\/(((w**40\/w)\/w)\/w))) assuming w is positive.\nAnswer: w**(-13\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 11 - -5 - (-13 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -376*y**3 + 190*y + 1?\nAnswer: -2256*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*m = -54*m - 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 64, -16, -5, -3 in descending order.\nAnswer: 64, 3, -3, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 811 - -120. Is o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1388376?\nAnswer: 2, 3, 11, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 5:44 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/19? (a) -174 (b) 4 (c) 2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1033?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*s**3 - s + 17*s**2 - 2 + 2*s - 15*s**2 + 2*s**3 + s**4 in the form d*s**3 + j*s + n*s**4 + r + t*s**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -68 + 122. What is the common denominator of -117\/10 and ((60\/(-16))\/(-5))\/(m\/(-4))?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-76)\/(-38))\/((-8)\/(-84)*3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(((-14)\/91)\/((128\/104)\/(-8)))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**4 - 16*j**4 + 4*j**4 + (-3*j + j**2 + 3*j)*(-1 + 1 + j**2).\nAnswer: -14*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 9*v**2 - 9*v + 8. Is i(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 36715968 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1869604103 to 3 decimal places.\nAnswer: 0.187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 151465689 to the power of 1\/2, to the nearest integer?\nAnswer: 12307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -3.6, -3, 3207?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21436115 or -21436116?\nAnswer: -21436116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 97.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.019 - -26.019. Let j = 40 - m. Let n = j + -14.09. Round n to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 288 = d. What is the least common multiple of 12 and d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/6 (b) -8 (c) 45.1 (d) -0.1 (e) -9\/14 (f) -1\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 + -115?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/(-6 + 10 + (-625)\/(-100))\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1494.9442 to the nearest integer.\nAnswer: -1495","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9e903d (base 15) to base 13\nAnswer: 17522c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10202102 (base 3) to base 8\nAnswer: 5262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 10}. What is prob of sequence ffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 5*v + 18 - 8 = 0, -3*k + 3*v = 0. Let i be 4\/18 + 34\/(-72). What is the biggest value in k, i, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10101011010110 (base 2) to base 7\nAnswer: -43654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - o + 434 = 0, -8*k + 3*k + 4*o = -1059. Does 25 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5924, 23741, 53452, 95051, 148532, 213889?\nAnswer: 291116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 37523.57 meters?\nAnswer: 37523570000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3973.2162 to 0 decimal places.\nAnswer: 3973","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of ((-10)\/5)\/(1\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 1 (c) 19\/4 (d) 4 (e) 19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*y - 6*y = 0. Let g = 59 - 59. Factor 0*a**4 + 0*a**2 - 1\/2*a**3 + 1\/2*a**5 + y + g*a.\nAnswer: a**3*(a - 1)*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 6*q - 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 - 168 = -11*n. Solve -2*j - 23 = -n for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -797, -30495, -79993, -149291, -238389, -347287, -475985?\n\"Answer: -9900*q**2 + 2*q + 9101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 19342\/190 - (-2)\/10. What is the highest common divisor of n and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*s - b = -97*s - 36, 9*b = -3*s - 21 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (45 - 41 - ((5 - 1) + 14)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/(n*n**(-1)*n*n))**(-50)\/((n*n**(2\/7)\/n)\/((n*n**(-1\/2))\/n)))**(5\/2))**(36\/11) assuming n is positive.\nAnswer: n**(-45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 780, 1570, 2360, 3150, 3940?\nAnswer: 4730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*z - 3*z**3 - 79*z - z**2 - 54*z + z**2 + 164*z.\nAnswer: -3*z**3 - 23*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -0.1, -7, 2, -0.01 in ascending order.\nAnswer: -19, -7, -0.1, -0.01, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + sqrt(3) + -4 + -1*sqrt(3) + -4)*3.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 0 + (-1 - -4). Suppose -j + 18 = -5*u. Let l be (u\/(-2))\/(15\/(-20)). Which is the smallest value? (a) 4 (b) l (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 847259 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*-3*sqrt(133)*2)\/((sqrt(126)\/sqrt(3)*3)\/(sqrt(18)\/sqrt(3)*4)).\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 124.20891 microseconds?\nAnswer: 0.000000000205371875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 636 and 809628?\nAnswer: 809628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -f**8\/336 + f**7\/84 - f**6\/72 - 5*f**3\/3 + 6. Let u(q) be the third derivative of l(q). Factor u(a).\nAnswer: -5*a**2*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**3 - 2*d**2 - 2*d - 4. Let c be u(3). Let n = -26 + c. Suppose n*y - 5*o - 110 = -2*y, 5*o - 205 = -5*y. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/608)\/((-2290)\/(-65265))?\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-13 - (-38 - (3 - 17))) - -26.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**2)**(-33))**22 assuming l is positive.\nAnswer: l**(-1452)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9 + -9)\/(1*3). Let u(q) = o*q - 4 - 2 + 5 - q. Let k(m) = 3*m + 4. Let z(s) = -k(s) - 4*u(s). Let x(y) = 5*y**2. What is x(z(g))?\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -46. Suppose -4*t + 0*f = 4*f - g, -3*f + 23 = 2*t. Calculate the lowest common multiple of 40 and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-521451)\/(-14)*(-168)\/(-126)?\nAnswer: 2, 3, 31, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3101*l**3*m*w**3 + 41*l**3*m - 5*l**3*w**3 - l**3*w + 4*l**2*w**3 + 1361*w**2 with respect to m.\nAnswer: 3101*l**3*w**3 + 41*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -29*x**2 + x. What is q(-1)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 7*x. Suppose 12 = -4*l + 16. What is f(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 86.8, 3.4, 0.05 in increasing order.\nAnswer: -1\/3, 0.05, 3.4, 86.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52055060.\nAnswer: 2, 5, 19, 136987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -323 + 624. What is the highest common factor of 43 and k?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1928 is divided by 95?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h**5*u - h**4*u - h**3*u - 3*h*u - 8 wrt h.\nAnswer: -40*h**3*u - 12*h**2*u - 6*h*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -d**3\/3 - 112*d. Let f(v) = -76*v**2. What is c(f(m))?\nAnswer: 152*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25007578 is divided by 61.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61067, 61077, 61095, 61121, 61155, 61197?\nAnswer: 61247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + -2 - -1 - -2. Suppose 0 = -z*f + f + 1. Let m(s) be the second derivative of -s**5\/10 + s. What is m(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 146 and 3.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4*m = -4, 6*k = k - 4*m - 9. Let n(x) = -x + 6*x - 5 - x + 2*x**2. Let h be n(k). Solve -h = 2*o - 7*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 436\/((5138\/(-4037))\/((-14)\/44))\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 30 = 5*a, 3*l + 24 = -0*a + 3*a. Suppose 3*j = -a*j + 60. Solve -4*r + 2 = -2*m, -5*m = -3*r - 6 - j for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = j - 4, -4 = -4*y + 6*j - 7*j for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37 - -42. Let s = a - 3. Find the second derivative of -s*i**3 + 459*i**2 - 459*i**2 - 5*i wrt i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {f: 1, a: 2, b: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -419900 or -3?\nAnswer: -419900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 384498 and 22403.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 + 0.1. Let g = a + 0.6. Let s = -0.535 + g. Round s to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 0.3, -2, -2\/3, 49?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/(-12)*1352\/(-3380))\/3.\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -68\/249 at least -3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.7766 to 1 dp.\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -914*w - 5*w**2 + 15*w**2 + 453*w + 461*w.\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.18 - 0.02. Let d = -1 + 0. Let i = d + 1.1. Which is the closest to i? (a) 2 (b) u (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**4\/4 - 49*n**3\/4 - 543*n**2\/4 - 495*n\/4 = 0.\nAnswer: -33, -15, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.37 + 3.07. Let r = -0.73 + m. Round r to 1 decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 583, 708, 843, 988, 1143, 1308, 1483?\nAnswer: 1668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/58 in 1, -0.1, 0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 475893 or 475932?\nAnswer: 475893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (730\/(-438))\/((-55)\/18). Determine t, given that 6\/11 + 6\/11*t**5 - 12\/11*t**2 + 6\/11*t - 12\/11*t**3 + x*t**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b18 - 158?\nAnswer: 1980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3917584?\nAnswer: 2, 11, 22259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -1841*s + 6. What is c(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 16 = 5*t - 6*t, 4*t + 2*m = 42. Let z be t\/10 - (-2)\/(-4). Let f = 32 + -32.3. What is the closest to -1 in f, 0.7, z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -49225*a - 7815.\nAnswer: -49225","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30486 + 30486. Solve -742*h + 748*h - 18 = u for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.349, 7 in decreasing order.\nAnswer: 7, -0.3, -0.349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 330858567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 9, z: 4, p: 3}. What is prob of sequence pxzx?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77871125.\nAnswer: 5, 37, 113, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9 - ((-196)\/(-91) + 2\/(-13)). Suppose -3*u - 11 = 5*w, 4*u = 2*w - l*w - 8. Suppose -2*q = -3*f - 1880, -u*f - 2*f - 933 = -q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(2\/3)*z)**(-16\/3) assuming z is positive.\nAnswer: z**(-176\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -5*m**5 + 49160*m**4 - 120490500*m**3 - 1695775590*m**2 - 1827442215*m + 23993569710 = 0.\nAnswer: -11, -6, 3, 4923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1215, -2520, -3839, -5172?\nAnswer: -6519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**5\/4 + 369*x**4\/4 - 7611*x**3\/2 + 31278*x**2 + 25920*x - 663168 = 0. Calculate x.\nAnswer: -157, -4, 8, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (9 - (-6 - -2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/(-1872)*-13)\/(2\/8). What is the closest to 0 in 0, x, 0.5, -1.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 3 (b) -2\/11 (c) -1711\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 9:09 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*(285\/(-12) + 3). Let h = 122 + u. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210560577?\nAnswer: 3, 70186859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 47*o - 195. Let i(z) = 49*z - 193. Let u(r) = 2*i(r) - 3*x(r). Let s be u(4). What is the greatest common factor of s and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 7*t. Let k be u(5). What is the common denominator of (118\/k)\/(88\/(-5)) and -71\/2?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 + -32. What is the tens digit of (-151 - -8)*(2\/2)\/x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-21)\/12)\/(281\/3091))\/((-28)\/96).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 398, 1592, 3580, 6362, 9938?\n\"Answer: 397*m**2 + 3*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24679809.\nAnswer: 3, 7, 11, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -519 and 0.0555325.\nAnswer: -28.8213675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 4) to base 9.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 52216 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*i**4 - 1 + i**2 + 1697160*i + 9*i**3 - 1697135*i + i**3 as s*i + c*i**3 + a*i**4 + k + v*i**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -2*m**6\/5 - 154*m**5\/5 + 5*m**4\/12 - m**3\/6 + 74*m**2 + 1070*m. What is the third derivative of r(l) wrt l?\nAnswer: -288*l - 3696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 - 73835*g**2 - 7492155*g - 190718325.\nAnswer: -5*(g + 51)**2*(g + 14665)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*n**3)*(n - n - n**2) + 3422*n**2 - 3422*n**2 - 224*n**5.\nAnswer: -226*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 36802689 a multiple of 231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 841, 2020, 3199?\n\"Answer: 1179*n - 338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12003 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6854479 + -43.189001.\nAnswer: 6854435.810999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6970 - 4910. Does 103 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*sqrt(102)*-1 - sqrt(102))*-5)\/(sqrt(726)*1 + (sqrt(72)*1)\/sqrt(12)))**2.\nAnswer: 425\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2006, 7888, 17642, 31268, 48766, 70136?\n\"Answer: 1936*m**2 + 74*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 z when two letters picked without replacement from zzzzzzzhh.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-1\/4)*n)**(2\/11)\/(n**2*n*n*n\/n**(1\/2))*(n**(-5\/3)*n*((n*n**(-5))\/n)\/n*n)**(-1\/6) assuming n is positive.\nAnswer: n**(-623\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 2\/69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - m. Let y(q) be the second derivative of 0 - 1\/4*q**4 + 2\/3*q**3 - 90*q + 1\/10*q**5 + 0*q**2. Calculate 3*h(g) - y(g).\nAnswer: -2*g**3 - 7*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21304714 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 20102212 (base 3) to base 16\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(468)*1 + sqrt(468)) + (sqrt(468) - (-1 + 2 + sqrt(468))) + (sqrt(468)*2 + 5 + sqrt(468) + 1 + 3)*-2)**2.\nAnswer: 3192*sqrt(13) + 92089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) -5.83 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n = -h - 9*n + 16*n, -4*h + 3*n - 30 = 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -f**4\/2 - 7*f**3\/3 + 16*f**2 + 13*f + 45. Let n be s(-9). Suppose 34*j - 30*j = n. What are the prime factors of j?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x - 8. Let l be y(13). Suppose -l + 1 = -t. Solve -3*g + 4*j - 10 = -0*j, 16 = t*j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -1746 - -951. Which is the third biggest value? (a) n (b) -1 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (387\/(-215))\/((-4)\/((-120)\/9)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270 = -172*p + 2138 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -0*b, 2*b - 416 = 67*n - 71*n. Calculate the highest common divisor of 3016 and n.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1229.00465 + -1229. Round m to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/1695 and -93\/5650?\nAnswer: 16950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i**2 - 3*i - 2. Calculate q(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, k: 1, r: 5, f: 1, y: 1}. Give prob of sequence xryf.\nAnswer: 1\/528","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(1 - (-3 + 7)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -72*v**6 - 18779*v**5 - 1744*v**2 + 637*v - 1 wrt v?\nAnswer: -8640*v**3 - 1126740*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 0) + (3 + 0 - 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -2*l - 20. Let o be ((-16)\/l)\/((-4)\/(-10)). Suppose s = 2*s - 4*t + 9, o*s + 16 = -4*t. Let q(h) = h**2 + 3*h - 4. Give q(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -7, -9, -4 in descending order.\nAnswer: 3, -2, -4, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 631 is divided by 164.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.6 and 0.02262?\nAnswer: 3.57738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 764 + -627. What is the lowest common multiple of 14 and y - (1 + -4 + (-7)\/(-1))?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14081 - 4689 - 42*x - 4699 - 4693.\nAnswer: -42*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 2*x - 24, -2 = 5*y - 4*x - 19. Suppose 0 = -3*f - y*w + 20, 2 + 7 = 2*f - w. Let u = 13 - 8. What is the highest common divisor of f and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -25*a - 53. Determine m(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**2 + 102*w - 48. Calculate p(51).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1293554 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 - 6*5\/(-6). Which is smaller: o or -4\/5559?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.100336 - -35.447\nAnswer: 35.346664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -489*k**2\/5 - 59517*k\/5 + 138756\/5.\nAnswer: -3*(k + 124)*(163*k - 373)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y + 9*y + 3*y - 17*y + 9*y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2334 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -20, -0.03, 24.9 in increasing order.\nAnswer: -20, -1, -0.03, 3, 24.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70953721?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -16056*-7.89\nAnswer: 126681.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 0.054, 0.1, -2, -5, 1.4 in decreasing order.\nAnswer: 1.4, 0.1, 0.054, -2\/3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*q + 208*q - 19 = -p, 20 = 5*p + 5*q for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 3. Suppose -s*y = 3*b - 0*y + 25, 4*y - 14 = b. Let o = b + 17. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 - 264 = -5*v. Let a = -57 + v. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 10*m - 20. Let p(h) = -h + 1. Give -20*p(k) - z(k).\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7353 - 833. Suppose -4*o = -3*t - t - y, t + 3263 = 2*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76232689 rounded to the nearest ten thousand?\nAnswer: -76230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -3*k + 5*c, 5*k = -3*c - 12 + 2 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/1)\/(4\/6). What is the highest common divisor of 3 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11.3 + 7.3. Let a = -13\/2 - -6. Sort 0.3, a, h.\nAnswer: h, a, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 6 = 4, 190 = -5*n + 3*p. Let x = -29 - n. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1518, -5, -3, 3, 4 in decreasing order.\nAnswer: 4, 3, -3, -5, -1518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 433 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 68 = -7*j. Let h be ((-44)\/(-32))\/(-6*1\/72). Which is greater: h or j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -445 + 452. Solve 0 = 6*y + n - 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 7*r - 6. Let n be v(-4). Let c be (n\/48)\/(0 + 2). Which is smaller: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -w**4\/8 - 7*w**3\/3 + 2*w**2. Let k be y(-13). Let a = k + -25. What is the third smallest value in 2\/9, 3, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 136 and 323.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7, -22, -39, -58, -79?\n\"Answer: -h**2 - 12*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 5*w - 10. Let c be g(3). Suppose 0 = -c*x - 2 + 22. Suppose -5*l + x*l + 197 = 0. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-156)\/104)\/((-6)\/20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -107580.229 rounded to the nearest ten?\nAnswer: -107580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -83 < -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -138314, -276870, -415428, -553988, -692550, -831114?\n\"Answer: -t**2 - 138553*t + 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 187*j + 3280. Determine l(-21).\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -10 - (-6 - (-2 - -7 - 8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4\/5, 0.101, 1\/6, -1\/4, 6.7, 1\/4?\nAnswer: 6.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 33332 (base 9) to base 6\nAnswer: 250302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 2*u + 533, -4*t - 26 = -3*u - 444. Solve 45 = t*r - 118*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114 and 72?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -145097, -290194, -435291, -580388, -725485?\nAnswer: -870582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**(-2)*c)\/c)**(-32))**(22\/7))**(8\/19) assuming c is positive.\nAnswer: c**(11264\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/10*(-12)\/80.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 307166 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15521 + -2312630\/149. Which is the second smallest value? (a) 1\/3 (b) 1\/5 (c) -17 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5\/1842 - 931\/3684. Which is the biggest value? (a) 0.5 (b) t (c) 0.4 (d) -0.09 (e) -7\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 3*w + 7 + 1, 3*w - 2*a = 22. Suppose -w*o - 3*r = -o - 777, -2*r - 1323 = -5*o. Is 263 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -5*a**3 - 51*a**2 + 9204*a + 92117. What is w(-10)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 258117397?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5049\/(-867) - 11\/1309*21.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 65, 80, 109, 158, 233, 340, 485?\nAnswer: 674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 643 is divided by 54.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 5*f - 70. Does 13 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 5*g - 10, -2*g = 4*r - 5*r + 7. Let n be ((-1)\/4)\/(1\/(-4)). Sort r, 5, n.\nAnswer: r, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 67\/5*f**2 + 84\/5*f - 2\/3*f**3 - 147. Determine a so that b(a) = 0.\nAnswer: -3\/5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -45\/32 (b) -5 (c) 0.3 (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**15)**18)**19)**26 assuming i is positive.\nAnswer: i**133380","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)*4*-1 + 3)**2*4.\nAnswer: -576*sqrt(2) + 4644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 5*s - 3*s. Suppose 4*j - s - 96 = 0. Is 18 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 1) + (-8 - 8) + 6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 25*b + 134. Let o(x) = -x - 2. Let c(i) = 6*o(i) + z(i). What is the hundreds digit of c(24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 + 4*l**2 - 4*l**2)*(-1 + 1 + 2*l) + 3*l**3 - 5*l**3 + 7*l**3 + 19*l**3 - 14*l**3 + 17*l - 2*l**3.\nAnswer: 12*l**3 + 17*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5721, 22598, 50711, 90048, 140597, 202346, 275283?\nAnswer: 359396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -545.634563 + -0.055437. Let m = 547.9046 - -0.0954. Let h = y + m. What is h rounded to 1 dp?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -17*r**3\/6 - 5*r. Let v(z) be the first derivative of 0*z + 0*z**2 - 7 - 2\/3*z**3. What is v(c(m))?\nAnswer: -578*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 10:03 AM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -13, 5, 1, 0.024, 2\/31?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.217 times 41?\nAnswer: 8.897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 6*z. Let o(u) be the third derivative of -u**6\/720 - 13*u**4\/8 - 28*u**2. Let r(b) be the second derivative of o(b). What is a(r(h))?\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of o**4\/12 + o**3\/2 - o**2\/2 - 3*o. Let v be w(-4). Solve 8*n - v*n = 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2*sqrt(1377) + 0).\nAnswer: -72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -184, -188, -204, -238, -296, -384, -508, -674?\n\"Answer: -y**3 + 3*y - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 37 + (138 - 216).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-2))\/((-34)\/(-68))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 3) + (16 - (32 - (-19 - -11))).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 198, 549, 1222, 2325, 3966?\nAnswer: 6253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31582575*a**2*n**3 - 16*a**2*n + 191305*a**2 + 2*a*n**5 - 6*a*n wrt n?\nAnswer: -189495450*a**2*n + 40*a*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67*h**3*z + h**3 - 593806*h**2*z + 2*h**2 + 2579870*h - 4*z wrt h.\nAnswer: -402*h*z + 6*h - 1187612*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 335 + -135. Calculate the greatest common factor of 8 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 102\/5. Which is the nearest to -1? (a) 0.5 (b) -0.2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6635429, 13270858, 19906285, 26541710, 33177133, 39812554, 46447973?\n\"Answer: -f**2 + 6635432*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, z: 5, q: 11, x: 1}. Give prob of sequence qzx.\nAnswer: 11\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4926, 0.5, -2 in ascending order.\nAnswer: -2, 0.5, 4926","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x + 916 - 9*x + 814.\nAnswer: -x + 1730","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2977, 2796, 2471, 1984, 1317?\nAnswer: 452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 71 + -60. Suppose a*f = f + 390. Let z = f + 88. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -67, -134, -203, -274, -347, -422?\n\"Answer: -o**2 - 64*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83 + r**2 + 83.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 34283, -471 in increasing order.\nAnswer: -471, 14, 34283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -2*h**7\/21 + 2*h**6\/15 + h**3\/3 - 48*h. What is the second derivative of l(q) wrt q?\nAnswer: -80*q**3 + 48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*x**2 + 20*x**2 - 20*x**2.\nAnswer: -27*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j = 10*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 37*q**2 - 39*q + 87. Give k(-36).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-92)\/5 - 14\/(-5)*962\/6734\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2411821?\nAnswer: 2411821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w + 9*w - 360 = -w for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 89027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 876*j + 4114. Calculate z(-5).\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 150189240?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1450, 1474, 1498?\nAnswer: 1522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (-478 + -1) - (-26 - -26). Suppose h + c = 6*h. Calculate the highest common factor of 24 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1513252160 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 12 + 22 = 0. Suppose f = 4*h - 34 - 35, -3 = -h + n*f. What is the remainder when 33 is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**3\/3 + 30440026*u**2\/3 + 60880049*u\/3 + 30440024\/3 = 0.\nAnswer: -30440024, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 69.0232 + -0.0232. Which is the second smallest value? (a) -1 (b) 0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.1 or -1\/86248?\nAnswer: -1\/86248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3026036 rounded to 4 dps?\nAnswer: 0.3026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2607*h - 47338 = 1784*h - 3421*h + 29054 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -45*8\/10*2. Let y be ((-9)\/(-3))\/((-3)\/s). What is the units digit of 4 - 7\/((-28)\/y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-3 - ((1 - 7) + 6)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**7\/y*(y\/(y**(-2\/5)\/y))\/y assuming y is positive.\nAnswer: y**(37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 12 = -j, 5*j = 4*t - 35 + 19 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1086771080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 3*s - 40, 3*s + s = 2*z + 30 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 t when four letters picked without replacement from tttjtttjtjj?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 64\/(-24)*(3 - 0)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5961 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 837 and 21806361?\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*x + 0 + 8*x - 3*x + 1 to j + h*x and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-724 - 206 + 301 - 1275 - 277)*(2*i + 2 - 2) as l + z*i and give z.\nAnswer: -4362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13, -61, -145, -271, -445, -673, -961, -1315?\n\"Answer: -q**3 - 12*q**2 - 5*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 112\/43 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.361 or -657?\nAnswer: 1.361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1430 + 1431. Let g(r) = r + 4*r**3 - 2*r**3 + 4*r + 5*r**2. Let w(o) = -o**2 - o. Let x(z) = f*g(z) + 5*w(z). Solve x(u) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/4574340 and 97\/212760?\nAnswer: 9148680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 78\/4*(-12)\/(-9). Let y = -18 + q. Suppose u - 40 = -8. Calculate the greatest common divisor of u and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(14) + (sqrt(42)\/sqrt(3) - sqrt(14)) + sqrt(14))*-4 - (sqrt(126)\/sqrt(3))\/sqrt(3))\/(-2*sqrt(98) - (sqrt(16)\/sqrt(4))\/sqrt(2)))**2.\nAnswer: 63\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(3\/7)*c)\/(c\/(c\/((c**8\/c*c*c)\/c*c))))\/(c**(1\/8))**(-8\/9) assuming c is positive.\nAnswer: c**(-407\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/21)\/f)\/(f**(-8)\/f))\/((f\/(f**(-3\/11)\/f))\/f*f**1\/f)*((f*((f*f**(1\/2)*f)\/f)\/f)\/f**(-9))\/(f**(-5)\/(f**(2\/7)*f*f)) assuming f is positive.\nAnswer: f**(11281\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1278851 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 v be 8\/(-20) + (-1578)\/180 + 9. What is the second smallest value in -4.3, -0.4, v, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 170, 10076, 0, 26 in decreasing order.\nAnswer: 10076, 170, 26, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3506 is divided by 219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*u + 5*u = -52*u + 480 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.1 (b) 11 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**2. Let r be u(3). Let n be (-4)\/(-15)*81\/r. Sort 0.12, -4, n.\nAnswer: -4, n, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o + 90. Let r(q) = -3*q - 4. What is -l(v) - 2*r(v)?\nAnswer: 8*v - 82","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3351, 3295, 3239, 3183, 3127?\n\"Answer: -56*b + 3407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 d when four letters picked without replacement from wdwwddwddd?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 26*g + 100. Let c(u) = -u**3 - 2*u**2 + 13*u + 17. Let y be c(-4). Calculate the remainder when n(y) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7335316 is divided by 1073?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.09? (a) 1 (b) -3 (c) -125\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0743 + -4.0743. Sort f, 2, -19\/4 in descending order.\nAnswer: 2, f, -19\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7610340 and 3.\nAnswer: 7610340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9311190?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -39087817*g + 353. Let z be l(9). What is z rounded to the nearest one million?\nAnswer: -352000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109259577409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -618342 and 369590016.\nAnswer: 368971674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 385310, 1541213, 3467720, 6164831?\n\"Answer: 385302*s**2 - 3*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5782173134?\nAnswer: 2, 31, 93260857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 13 = -t, -l + 4*t - 21 - 1 = 0. Let b = -27 + 29. Put b, -4, 3, l in descending order.\nAnswer: 3, b, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/8 - (-35)\/300. Let w = 0.03 - -0.17. Let n = 0.1 - 0.2. Which is the closest to n? (a) w (b) v (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2891194?\nAnswer: 2, 839, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/1)\/6)\/((-3)\/9)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -2. Suppose 3*x + 3*i = 3, -t*x - 2*i + 18 = 4. Suppose -x - 3 = -a. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*-1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -392934.\nAnswer: 78586.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 26*b + 29. Let f be w(-23). Let s be (-2)\/8 + (-210)\/f. Factor -5 + s + 2*o - o**2 + 8.\nAnswer: -(o - 4)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 57000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5821396\/5 - -1159850. Let g = -4445 - y. Let u = g - -16. Which is the second smallest value? (a) 2\/9 (b) u (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xsqq when four letters picked without replacement from {s: 8, x: 1, o: 4, q: 2}.\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 178060577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 + 27349920*s - 27349925.\nAnswer: 5*(s - 1)*(s + 5469985)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -8770280 not equal to -8770259?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of 0*l + 32\/3*l**3 + 23*l**2 + 0 + 1\/15*l**5 + 4\/3*l**4. Factor z(q).\nAnswer: 4*(q + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 - -24. Calculate the highest common divisor of t and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**2 - q. What is the units digit of j(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 3*f**2 + 25*f - 54. Give g(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n = 23*n - h - 28, n + 2*h + 12 = 0. Let t = 12 - 4. What is the third biggest value in t, 5, 2\/13, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 7*w + 98547 = -5*k, w - 3*k - 24642 = 0. List the prime factors of w.\nAnswer: 3, 7, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7\/18 + -17\/90. Let p = 3.1 - 3. Which is the second biggest value? (a) 7 (b) p (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -5, 8, -1\/25, 0.4, 1\/18?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4*-7*(-16)\/168.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5586 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3*t - 54 = 137, 4*t + 68 = 2*c. Are c and 43 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6*y**3 - 4*y**2 - 4*y - 5. Let r(g) = -g**2 - 47*g**3 + 25*g**3 - 2*g + 23*g**3 + g - 1. Determine -a(q) + 4*r(q).\nAnswer: -2*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1200 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-226 - 8453*h + 122 - 3373*h + 104)*(-2 + 3 - 3) + 5*h - 3*h - 4*h + (5 - 5 - 2*h)*(5 - 1 - 3).\nAnswer: 23648*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13750295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w. Determine q(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16049511 divided by 3.\nAnswer: 5349837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -225647347*h - 1311766709 wrt h.\nAnswer: -225647347","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 43. Suppose -3*w = -2*k - 96, 0*k = w - k - u. Let i = -21 + w. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-35)*(-5 - 29\/(-3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 26014165 (base 7) to base 10\nAnswer: 2356849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1321312230 (base 4) to base 3\nAnswer: -221100122210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12140)\/(-1980) - (-1)\/11) + -6.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3905106000.\nAnswer: 2, 3, 5, 650851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 15*y - 3. Let v be m(2). Suppose 3*s = 3*a - v, -3*a + 13 = -2*a - 2*s. Suppose a + 2 = i. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*z + 11*z - 52*z + 880 = 29*z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/17868855 and -51\/70.\nAnswer: 250163970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -180126a8 + -2?\nAnswer: -180126aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 4204150?\nAnswer: 4204144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-3) + -1)*(-24)\/16. Let f(j) = 99 + 0*j**h + 4*j**2 - 99. Let v(k) = 3*k. Give v(f(l)).\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2786.\nAnswer: 2, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 13 = 3*z, 0 = -4*z + 5*t + 39 + 30. What is the remainder when ((-55)\/(-4))\/z + 2124\/16 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2 - 256*m**2 - 99*m**2 - 68*m**2 - 3*m wrt m?\nAnswer: -846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-779)\/(-11) - 2\/(-11)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124, 480, 1072, 1900, 2964, 4264?\nAnswer: 5800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.1, -70\/11.\nAnswer: -70\/11, -0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -2011201?\nAnswer: 2011200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135567*h**2 - 135567*h**2 - h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvcc when four letters picked without replacement from vvvvvvvvcvvvvcc.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1433 plus -0.05?\nAnswer: -1433.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s\/s**(-9))\/s*s)**(-29)\/(s**4*s\/(s\/(s\/(s\/s**20)))) assuming s is positive.\nAnswer: s**(-343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -121114112 - -4?\nAnswer: -121114103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1, 2, -36, -97.\nAnswer: -97, -36, -6, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13486385, 13486352, 13486319, 13486286, 13486253?\nAnswer: 13486220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32736 = -59*o - 9*o + 180*o + 260*o for o.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1713 and -0.17.\nAnswer: -291.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.1813 rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/99*3)\/(4\/(-18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -313, -4, -21.\nAnswer: -313, -21, -5, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1034162929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*p - 2 = 2*u, 3*u + 3*p = 3. Let v be (u\/1)\/(5\/(-10)). Suppose -v*z = -28 - 124. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*n = 43*n. Solve n = z - 1, -3*j - 6 = 2*j - z for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11022278*l**4 + 8041691*l wrt l?\nAnswer: -132267336*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 6\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64416344 is divided by 3789196.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 7331*w - 303. Is x(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 7*u**2 - 7*u - 5. Let x be v(-6). Let n = 143 - 1285\/9. Let p = 79\/4 - 157\/8. Which is the third biggest value? (a) x (b) p (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 357 + -227. Calculate the highest common factor of 15 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 3:03 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c**2 + 1. Let o(p) = p - 3. Let t(s) = -3*s + 10. Let m(j) = -11*o(j) - 4*t(j). Let y be m(4). Let i be f(y). Round i to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + sqrt(245))*1.\nAnswer: -9 + 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 2:47 AM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, c: 1, f: 2, m: 3, b: 1, z: 2}. Give prob of picking 1 m and 3 x.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 11*b - 96. What is s(8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 128446.\nAnswer: 770676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -k**5\/60 - 38*k**2. Let b(j) = 59*j**2. Calculate l(b(r)).\nAnswer: -3481*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15965937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 80\/3*(-180)\/75. Is -316\/5 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4836 - -36497. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 - (-45 + (46 - -8))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48127114?\nAnswer: 2, 7, 19, 25847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -10, -4, -267, -3 in decreasing order.\nAnswer: -1, -3, -4, -10, -267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.88 - -8.880000838. What is q rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 6160275.\nAnswer: -616027.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2*p - p - 689 = 0, t - 166 = p. Let q(f) = 96 - 105 - 4*f - 3*f. Let u be q(-4). What is the highest common divisor of t and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 806257.\nAnswer: 806257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 7:03 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/(-30))\/((-2)\/(-66)). Let v = u + 15. Suppose -g - 4*h + h + 2 = 0, -3*h = -v*g + 38. What is the remainder when 23 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -392, -1581, -3564, -6341?\n\"Answer: -397*o**2 + 2*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/(-3)*144\/(-264) and 34\/79?\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255003.\nAnswer: 3, 7, 12143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and 460805732 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*m - 3*y, -4*y - 3 = -4*m + 9. Let q(c) = -c + 2. Let w be q(m). Let x = 22 - 21.5. What is the nearest to -2 in -0.4, w, x?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z - 2*z + 5*z)*(-20 - 15 - 24) - z + 5*z - z.\nAnswer: 121*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 305 + 95 = 0. What is the highest common divisor of j and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1009 + 1028. Solve b*d - 36 - 59 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-145)\/87 - 155\/15.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*c - 16 = 0. Let o(z) = -196*z - 13324. Let t be o(-68). Solve 2*s + 2*w = c, t*s - 4*w = 6 + 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, -3, -5, -240826 in descending order.\nAnswer: -3, -5, -63, -240826","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of u**6\/720 - u**5\/5 + 71*u**4\/144 - 19*u**2 + 41*u. Suppose b(h) = 0. What is h?\nAnswer: 0, 1, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47926 (base 13) to base 8\nAnswer: -400150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72729 is divided by 1426?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/1 - (-216)\/8. Suppose -26*d + k*d = 234. Find the common denominator of (-533)\/d*-1*1 and 67\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36.04 + -36.14. Which is the closest to 0.2? (a) 5 (b) k (c) -98 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -f + 1127, -526 = -f + j + 598. List the prime factors of f.\nAnswer: 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1244756 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4470\/600 - 16 - (-60)\/16?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000055248 to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 206585.793 rounded to the nearest 1000?\nAnswer: 207000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 29476.68452 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15738, 20882, 26026, 31170, 36314?\nAnswer: 41458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 0 + 0 + 11*x + 1 - 5. Let u(p) = -10*p + 3. Calculate 4*u(z) + 3*v(z).\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/12*-4)\/((-2)\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/5)\/l)\/l)\/l*l**2*l**(-1\/3)\/(l*l*l*l**(-2)) assuming l is positive.\nAnswer: l**(-29\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 2*s - 25, y + 67 = 6*y - 3*s. Are 10 and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/24*(-4)\/3.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + c**2 - 2*c + 5. Suppose -1353 = -42*d - 1269. Determine v(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2583341662 to the power of 1\/3, to the nearest integer?\nAnswer: 1372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -190463, -95 in ascending order.\nAnswer: -190463, -95, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d**3 + 21*d**2 + 12*d - 243. Let r(y) = y**3 - 8*y**2 - 5*y + 121. Give 2*j(s) + 5*r(s).\nAnswer: -s**3 + 2*s**2 - s + 119","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*q + 5*q. Suppose -w - q = -4*w. Find u, given that -2*u**4 + 9*u**3 + w*u**3 - 8*u**2 + 0*u**4 - 20*u**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of n**4\/8 + 7*n**3\/6 + 16*n**2 + 6*n. Let g(v) = -v - 2. Calculate 8*g(p) + 3*j(p).\nAnswer: p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 149521 by 454.\nAnswer: 149521\/454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33862480*r**3 - 1059*r**2 - 77*r.\nAnswer: -203174880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 divided by -16.\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -813 + 867. What is the highest common factor of 72 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-2\/3))**48\/(c*c**2*c*c)**(-33) assuming c is positive.\nAnswer: c**245","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -31a45?\nAnswer: 31a43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -1\/70*i**5 + 0*i**3 + 0 - 1\/42*i**4 - 15*i + 0*i**2. Factor y(r).\nAnswer: -2*r**2*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634055333 to the power of 1\/4, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 + 3.1. Let l = 7.8 - k. Suppose 5*o = a - 23, 4*a = o + 2*a + 1. What is the third smallest value in o, l, 0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -352 divided by 1040768?\nAnswer: -11\/32524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40701*n**2 + 52 - 25757*n**2 - 134 + 82.\nAnswer: -66458*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 759.7 + 269.3. What is the biggest value in c, -2\/7, 3\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of j**5\/15 - 7*j**4\/6 + 4*j**3 - 76*j**2. Find x, given that w(x) = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/2*(-28)\/8. Let j = 10 + n. Suppose -j*u + s = -29, -s = 4*s - 20. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5658.032 centuries in millennia?\nAnswer: 565.8032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4517, 4433, 4321, 4205, 4109, 4057, 4073?\n\"Answer: 4*n**3 - 38*n**2 + 2*n + 4549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - -13932.\nAnswer: 13933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*p - 3. Suppose q - 15 = 3*i, 4*q - q + 11 = -p*i. Solve -1 = -4*w + y, -10 = w - q*y - 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 51 and -0.1436.\nAnswer: 50.8564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -g**5\/5 + 2*g**3 - 9*g**2\/2 - 13*g. Let w(o) be the first derivative of a(o). Differentiate w(m) with respect to m.\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, s: 2, t: 1, k: 2}. Give prob of sequence kk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13527\/10 + -1346. Calculate the common denominator of n and -21\/64.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000043206 rounded to 6 dps?\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -5. Suppose -3*d + 2*f - 3 = 0, -2*d + 0*f + 4*f = -6. Let k = q + d. Calculate the smallest common multiple of 10 and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2120190542 + 160.\nAnswer: 2120190702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3196*w + 3261*w + 130 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 4*x + 50 = 0, -5*h = 2375*x - 2381*x + 133 for h.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*c - 29. Let y = -9 + c. Factor -4*u**4 + u**2 - u**5 + 5*u**3 - 2*u**2 + 5*u**5 - y*u**4.\nAnswer: u**2*(u - 1)*(2*u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -780 + 278. Is 42 a factor of (-4 - -5) + 4\/(-8)*a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 13*w - 11. What is v(-8)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -275 + 275.0555. What is t rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 346 in 9, -5, -1\/2, 989?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135557?\nAnswer: 283, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uwuuwwbubwwwuwww. What is prob of picking 1 w and 3 b?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 16*h**2 - 9*h + 76. Let r(v) = 4*v**2 - 2*v + 20. Give -2*f(n) + 9*r(n).\nAnswer: 4*n**2 + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -561\/5 + 558\/5*r + 3\/5*r**2.\nAnswer: 3*(r - 1)*(r + 187)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -7\/34899?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 200 and 1850?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/13, 4, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -25571*a - 537020. What is u(-21)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(2299) + 5*(-2 + sqrt(2299))**2)*-3*-6.\nAnswer: -414540 + 7524*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f**3 - 3*f**3 + 6*f**3)*(2*f**2 + 2*f**2 - 3*f**2) + (-2 + 2 + f)*(0*f**4 + 0*f**4 - 2*f**4).\nAnswer: -4*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2228a7 - 0?\nAnswer: -2228a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**1)*(y**(-4\/5)\/y*y)\/y)**(-37)*((y\/(y*y**(-1)\/y))\/y)**(17\/3)\/(y**0)**10 assuming y is positive.\nAnswer: y**(1639\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 - 48. Let d(u) = 2*u + 3. Calculate the remainder when d(3) is divided by (-1*a\/(-6))\/(2\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7069 is divided by 100?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2169 and -481?\nAnswer: 1043289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -7. Suppose 55 = 4*o - m - 12, 0 = -2*o - 2*m + 26. Suppose 9*q = o*q - 28. Solve -q*z + 8 = -2*g, 5*g - 3*g = -3*z - f for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3304 is divided by 875.\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.769 and 0.269?\nAnswer: -0.206861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6460 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 192971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11124201 - 23?\nAnswer: -11124224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 154 and 4389?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 608, 871, 1142, 1421?\n\"Answer: 4*d**2 + 251*d + 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -13*j - 7. Let y(m) = 4*m + 2. Let s be (-4 - -1)\/3*-7. Let x(q) = s*y(q) + 2*v(q). Let z(t) = -5*t - t - 3*t - t. Calculate z(x(l)).\nAnswer: -20*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.1 - 3. Let u = -1 - 0. Let m = -34.6 + 35. Which is the closest to u? (a) 2 (b) m (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011202 (base 3) in base 6?\nAnswer: -14415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -l + 12, 0 = 3*b + 725*l - 729*l + 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 3*h**4\/4 - h**3\/3 - 3*h**2 + 11*h - 27. Is c(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*b - 25131*b**2 + 25128*b**2 - 3 + 3 as x*b**2 + q + f*b and give f.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 125, 540, 1231, 2198, 3441?\n\"Answer: 138*c**2 + c - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/4)\/((-6)\/56). Let a(i) = 18*i + 3*i**3 + 69 + 10*i**2 - 2*i**2 - 2*i**3 + 8*i**2 - 15. What is the hundreds digit of a(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286*a - 290*a = -4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-19 - -14 - 7)) + -11 - (64 - -1).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 254860045 to the nearest integer?\nAnswer: 15964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(480)*2)\/sqrt(10).\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -55b5 - -42b?\nAnswer: -518a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2518951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -19955045 divided by 319\nAnswer: -62555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/9 and ((-36)\/60)\/((-795)\/(-10)).\nAnswer: 2385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 4*a**2 - 636*a + 3080 = 0.\nAnswer: 5, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - r + 1. Let u(w) = 231*w**2 + 3*w + 4. Give -u(m) + 4*x(m).\nAnswer: -227*m**2 - 7*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140)*-1 - sqrt(560)*-2)\/((sqrt(7) + (sqrt(252) - sqrt(252)*-2) + sqrt(7))*3))**2.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10617711, -21235422, -31853133, -42470844, -53088555?\nAnswer: -63706266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3083?\nAnswer: 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64 - -63.7. Let t be (1\/2)\/((-4)\/8). What is the smallest value in t, k, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f + 3. Let y be h(-9). Let i be ((-14)\/y)\/(1\/3). Let q = 42 - i. What is the greatest common divisor of 11 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (82 - 99) + (-18 - (-3 - -2))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 9*i - 33 - 13 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2, -91, -184, -277, -370?\n\"Answer: -93*l + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 52 = 14*m. Let h(t) be the second derivative of 0*t**3 + 0 + 0*t**4 + 10*t - 9\/20*t**5 - 15\/2*t**m. Differentiate h(n) wrt n.\nAnswer: -27*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5*m - 97 = 0, 19 = -3*r + 3*m - 20. Let t = r - -57. Is t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**5 - 4532*w**4 - 2612164*w**3 - 50593288*w**2 - 82991946*w + 136201932 = 0.\nAnswer: -1123, -18, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4163867426 a multiple of 2220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7832, -18, -2.\nAnswer: -18, -2, 7832","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2275 - 359 - 754 = -14*h. Let s = -56605 + 397933\/7. Let b = h - s. What is the third biggest value in b, -0.4, 8, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(1872) + 0)**2 + sqrt(1872)) + ((-1 + sqrt(1872))*4)**2)*-4 + 2.\nAnswer: -134846 + 1440*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**2. Let b(z) = -3*z + 2. Let x = -15 + 15. Let v(g) = -4*g + x + 1 - 3 + 5. Let a(r) = 3*b(r) - 2*v(r). What is l(a(i))?\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qrzbt. What is prob of picking 1 r and 1 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3*i = 4. Suppose -q - 7 = -4*u, i*u - 4*q - 2 = -u. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5713*t + 41814 = -3890 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*b = -22*b - 910. Let w(g) = -17*g - 230. Calculate the remainder when b is divided by w(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.26 (b) 0.4 (c) 3 (d) -4 (e) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*m + 401*m = 201*m + 1232 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l - 2*l + 6*l - 5*l. Let x(b) be the second derivative of 17*b**4\/12 - 18*b. What is x(i(v))?\nAnswer: 68*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(64) - 2*sqrt(64) - (sqrt(4) - (sqrt(12)*-2 - sqrt(12))\/sqrt(3)))\/(sqrt(200)*3*-2).\nAnswer: -4*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 - (4 + -2 + -3). Let k(f) = 4*f + 10. What is k(s)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1624163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0382 - -1.2.\nAnswer: 1.1618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**3 + 9*q**2 + 2*q - 7. Let f be a(-4). Let d(o) = o**3 - 1. Let s(l) = -4*l**3 + 4*l + 5. Give f*s(h) + 5*d(h).\nAnswer: h**3 + 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -357 - -373. Let n(w) = -12*w**3 - 16*w**2 + 8*w + 5. Let u(g) = 38*g**3 + 50*g**2 - 24*g - 16. Let m(c) = t*n(c) + 5*u(c). Factor m(y).\nAnswer: -2*y*(y - 1)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - -2 - 5*-7. Suppose v - 61 = 3*p, -2*p - 4*v - 29 = m. Is p\/(-1 - (-1 - -2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -x**6\/120 + x**5\/10 - x**4\/4 + x**3 + 2*x**2. What is the least common multiple of 2 and s(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12313623 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 3 + -16 + 10 + -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 47 + 20 + -50 + -46\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 66.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 17*b + 45. Calculate the remainder when 64 is divided by r(16).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -5*s + 58, -2 = -a - 0*a + 5*s. Calculate the greatest common divisor of 84 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 w when two letters picked without replacement from aawala?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of r**6\/40 + 19*r**5\/5 - 39*r**4\/2 - r**2 + 278*r. What is t in d(t) = 0?\nAnswer: -78, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (41 - (0 + 2)) + (-6 - -6) + (-17 - -27)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20211 + -220012?\nAnswer: -1011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -1156*o - 15083. Give a(-12).\nAnswer: -1211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of f**4\/3 - 16*f**3\/3 - 66*f**2 + 126*f - 1. What is the thousands digit of v(-17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**2*s + 17*b**2 + 2*b*s + 4*b - 4*s - 101 with respect to b.\nAnswer: -4*b*s + 34*b + 2*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**2 - 8*l + 4. What is the remainder when 34 is divided by p(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddxddbddddxb. What is prob of sequence xxb?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 21\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3527bc (base 13) to base 16\nAnswer: 134350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.09 + 0.11. What is the smallest value in -24, a, 4\/9?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04 - -297582.27.\nAnswer: 297582.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c. Let w(b) = -7*b. Let y(m) = -7*i(m) - 3*w(m). Let q(g) = 4*g**2 + 6. Let o(v) = v**2 + 1. Let f(p) = 12*o(p) - 2*q(p). What is f(y(z))?\nAnswer: 196*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Solve 32*x + 0*l + 0*l - 528 = -4*l, 3*x - 2 = x - 2*l + 24 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-6 + 2) - ((-6 - 0) + 8).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 45, 48, 51, 54, 57, 60?\n\"Answer: 3*t + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 1379 = -a + w, -5*a = w - 3444. List the prime factors of a.\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 8 - 14, -3*s - b = 9 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -8*u. Let o(z) = -2*z**2 - 16. Let x(w) = -1. Let a(n) = 3*o(n) - 48*x(n). What is a(h(s))?\nAnswer: -384*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 841, 851, 865, 883?\nAnswer: 905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.16+15.9659829\nAnswer: 15.8059829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 10948 = -5894. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 42313.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4*d. Let q(m) = -10*m. Let x(g) = 2*p(g) + q(g). Let h(i) = 6*i + 0*i - i. Calculate x(h(o)).\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1420 is divided by 158.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 6*c**3 + c**2 - c. Let h = 23 + -13. Suppose a + r = 3, -5*a - 2*r = 1 - h. Determine z(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85322.\nAnswer: 2, 37, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/8996 and -73\/68?\nAnswer: 152932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 18 = 5*x. Let i(z) = -20 - 21 - 5*z + z**x + 40. Give i(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {o: 1, t: 1, u: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -843.2 + 855. Let h = g + -24.1. What is h rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1901336 divided by 1.\nAnswer: -1901336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xmgm when four letters picked without replacement from {m: 3, g: 1, x: 5, w: 3, n: 5, k: 1}?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - -27) + -29 + -38 + 30.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = -t - 4*r + 112, t + r = 20. Solve 0 = -4*i + 4*f - t, 4*f + 0 - 20 = -2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 2)*(-25 + 10 + 8)*(10 + 5*k - 10) as m*k + o and give m.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 5, -596, -1, -2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(-3)*(-918765)\/(-255)?\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3856*d - 81627 = -3851*d - 2692. Is -15787 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26187*k**2 - 2290*k**2 + 13239*k**2.\nAnswer: 37136*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h + 14*h = -4. Suppose -h + 5 = j. Find the second derivative of -j*i - i + 100*i**2 - i - 98*i**2 wrt i.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -23*a + 3 - 3 + 27*a**2 + 22*a. Let r(u) = -2*u - 9722 + 9722. What is r(v(h))?\nAnswer: -54*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w. Suppose 2*b + 16 = 12. Let u(g) = -10*g**2 + 3*g. Let o(l) = 11*l**2 - 2*l. Let h(z) = b*u(z) - 3*o(z). Give h(a(v)).\nAnswer: -117*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1307 divide 3343692872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 66*b = -442, -128 = -2*l - 280*b + 282*b for l.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + (-5)\/(-3))*(-63)\/(-84). Let g(u) = 9*u. Let l be g(-2). Let h = l + 21. Which is the closest to q? (a) h (b) 13 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23016 and 9590.\nAnswer: 115080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -28 + 633817?\nAnswer: 633789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 18348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of 185*a**4\/6 + 5*a**3\/3 - 11*a. Let c be u(-8). Suppose 45*j - 47*j + c = 0. Round j to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26 - 25266?\nAnswer: -25325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -5*g**3 + 3*g. List the prime factors of i(-3).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 5*b + 3. Let g be m(-3). Let j be (-3)\/g + (-39)\/12. Let w be j\/(4\/8 + -2). Which is greater: w or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, o: 1, b: 4, x: 1, q: 4, l: 1}. Give prob of picking 1 q, 1 o, and 1 x.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2856 by 8.\nAnswer: -357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 907*v**2 - v + 216. Let a(p) = -p. Calculate q(a(b)).\nAnswer: 907*b**2 + b + 216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 - -35. Suppose -y - m*z = 2, -4*y - 4 = -4*z + 4. Which is the closest to y? (a) -3 (b) 4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -974.\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3 + 5*(((sqrt(242) - (-1 + sqrt(242) + -1))*6)**2 + 5).\nAnswer: 746","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9202331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + g = 5, 5 = 5*g - 4*g. Suppose j - 1140 = 5*t, t = -4*j + j + 3420. Let v be j + (-5)\/15*n. What is v rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7}. Give prob of picking 4 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**3 - k**2 - 9. Let n(v) = v**3 - 4. Let f(a) = -4*l(a) + 9*n(a). Let g = -10 + 6. Let b be f(g). Is -1 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 708, 2910, 6592, 11760, 18420, 26578, 36240, 47412?\nAnswer: 60100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**4 + 240*z**3 - 4*z**2 - 960*z = 0. Calculate z.\nAnswer: -240, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110 + 4*q**2 + 106 - 216 - 5*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 8*y + 11. Let o(a) = -4 - 14*a - 1 - 7 + 6*a. Let c(u) = 5*m(u) + 6*o(u). Is c(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 27, 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4987 - -5040) + (0 - 1)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216*h + 69*h = -165*h + 9900. Factor -4*y + h + 2\/11*y**2.\nAnswer: 2*(y - 11)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 126.7671 - -0.0329. Round z to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/46*216\/54*1\/4?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 101819070 and 270.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 90.06 or 28.9?\nAnswer: 28.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.93935 - 0.18?\nAnswer: -12.11935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4400\/(-21164) + -2*(-1)\/13.\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 + 7938456*h - 3938692728996.\nAnswer: -4*(h - 992307)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/1)\/(1 - -1). Which is the third biggest value? (a) 6 (b) j (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58848336.\nAnswer: 2, 3, 136223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -366.\nAnswer: -366, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c**2 + 3*c + 1. Determine q(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*(4 - 5\/1) + 1828. Suppose 25*s - 5553 = -f. Is 15 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1261 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12.3 and -701.\nAnswer: 8622.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 140 - 67. List the prime factors of d.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2038357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 22*b + 1. Let s be h(-1). Suppose -4*w = -9*g + 201, -30*w + 32*w = -3*g + 57. Let z = g + s. Do 1\/72 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 + 43 = -3*i + 3*z, 0 = 3*i - z + 97. Let o = -53 - i. Let t = -58\/3 - o. Which is the second biggest value? (a) 0.4 (b) 0.3 (c) 5 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -22*o**3 + 12*o**2 - 14*o + 1513. Let d(q) = 21*q**3 - 10*q**2 + 17*q - 1508. Let j(v) = -6*d(v) - 5*g(v). What is the derivative of j(k) wrt k?\nAnswer: -48*k**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 897903.5 centuries to decades.\nAnswer: 8979035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xex when three letters picked without replacement from eexeeuxx.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1470 and 5341.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 18277, 37387, 57333, 78115?\n\"Answer: 418*q**2 + 17856*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -5*h + 646 - 639, 0 = 4*q - 3*h - 19. Suppose -9 = -5*b - 4. Solve 5*f = q*i - b, -4*i + 30 = 4*f + 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 + 0*z**2 + 56 - 6*z - 55 + (0*z**2 - 3*z**2 + z**2)*(1 - 3 + 0) + 3*z**2 - z + z.\nAnswer: 6*z**2 - 6*z + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 125*h - 3152. Give p(24).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h + 10892 - 10901 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/17, 30, 2.4, 0?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/30*-32 + 5952\/44640. Let p(h) = -5*h**3 + 3*h**2 - 8*h - 8. Let d(g) = 4*g**3 - 2*g**2 + 7*g + 7. Let v(w) = 6*d(w) + 5*p(w). Determine v(n).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 211 + -208. Let s = -27 + 67. Calculate the remainder when s is divided by (1\/f)\/((-7)\/21)*-11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-38))\/((-1804)\/(-451))\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*l = 3*l + 46. Suppose 0 = 4*c, -l*b + 2*c + c + 4 = 0. Solve 3*o + 15 = -0*m + b*m, -m - o = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - q = -2*q + 3, -z + 2*q = 1. Let h = 12 - 8. Which is the smallest value? (a) h (b) z (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*c - 58 = -0*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 10:03 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 626 and 241949?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of 9*v**4 + 5*v**3\/3 - 22*v**2 + 1. Let i be t(-15). What is i rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 4*v**2 + 2*v - 2. Let o be r(-2). Suppose p + 4 = o*p. Suppose 2*w = p*n - 46, 0*w = 3*n - 2*w - 37. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 5. Suppose 2*x - 8 + n = 0. Suppose -k + 5*m = -21, -27 = 3*k + m + x*m. Sort -2, k, 3.\nAnswer: k, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11201212002 (base 4) to base 5\nAnswer: -332321242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 5*r - 10*w + 13 - 253, -2*r - 2*w = 96 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 6*m**2 - m + 1. Let o be y(1). Suppose -q - 12 = -4*b - 5, -2*b + 7*q = 29. Solve -2*s = -5*k - 2, k - b*s - 3 = -o*s for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -77*c**2. Let m(q) = 3*q + 392. What is m(h(y))?\nAnswer: -231*y**2 + 392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*y = 343 + 122, -3*d - y = -1375. List the prime factors of d.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 6*r + 4*x + 23, -2*x - 14 = 4*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5 = -3. Let x be 4\/(-18) + 26\/117. Suppose -4*b + 5*b - 15 = x. Solve 5*j + 3 = -r + b, -c*j + 14 = 5*r for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nf when two letters picked without replacement from {n: 4, f: 6}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15530 by -4.\nAnswer: 7765\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2\/3 - 3505*g - 9135020\/3.\nAnswer: 5*(g - 2764)*(g + 661)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1167648?\nAnswer: 2, 3, 12163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/2 + 1626*q + 3253\/2.\nAnswer: -(q - 3253)*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/5 - 3549738*l\/5 - 17748440.\nAnswer: -2*(l + 25)*(l + 1774844)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/4)\/((-152)\/912).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/4 + 3443*v - 6885.\nAnswer: -(v - 13770)*(v - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73122?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 67 - 94. Let j be -4 - (v - (-3 - 0)). What is the highest common divisor of j and 120?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4*y - 2. Let d(g) be the first derivative of g**2\/2 - g + 10. Let a(r) = 8*d(r) - 4*p(r). Let f(n) = -n**2. Calculate f(a(h)).\nAnswer: -64*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 28, 58, 92, 130, 172, 218?\n\"Answer: 2*k**2 + 24*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s + s. Suppose s - 5 = -5*p. Suppose -3*z + 14 - 4 = 4*n, -5*n + 3*z = p. Let j(x) = -x. Calculate j(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -72?\nAnswer: 6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1880*-53.5.\nAnswer: -100580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 450 - 449.0072. Let o = -0.0072 - d. Let n = -1 - 2. What is the closest to o in 3, n, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*y**2 - 23*y**2 + 17*y**5 + (-7 - 9 - 3)*(-2*y**5 - 1 + 1).\nAnswer: 55*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 156739.25573 rounded to the nearest one hundred?\nAnswer: 156700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2856\/144 - (-9)\/54 and -1*(-41 + 5 + -2)?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 2*f. List the prime factors of t(-9).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from puodror. Give prob of picking 1 o, 1 p, and 1 r.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -303 - 308 + 869 + 46*u**2 - 40*u**2 - 258.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/15, 2\/31, -3, 7.761, 15?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-4))\/((-3)\/(-90)). Solve -k = -4*h - h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**3 - s**2 + s - 3. Suppose -85 = 22*k + 22 + 3. Let j(o) = -4*o**3 - o**2 + 2*o - 5. Determine k*a(l) + 3*j(l).\nAnswer: -2*l**3 + 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 159*p - 111*p + 144 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 868474759 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*t*z**2 - 4*t*z - 2*t - 166*z**2 - 25*z + 151404 with respect to z.\nAnswer: -4*t*z - 4*t - 332*z - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - y = -115, 0 = -94*x + 92*x + 12*y - 104 for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**2 - 5*o - 3. What are the prime factors of p(-3)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4*i - 3*i - 3*i - 9*i. Let s(b) = -b. Calculate j(s(y)).\nAnswer: 19*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -5*c - 135, 4*c - 2759632 = 9*w - 2759740 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 39 + 42 = 0, -3*t - 10 = -4*y for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f**(-5\/3)*f*f))*f\/f**(2\/7))\/(f*f**(-1\/10)*f**(2\/9)\/f) assuming f is positive.\nAnswer: f**(583\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10589519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22549786.\nAnswer: 2, 7, 17, 94747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.03, -4316, 2 in ascending order.\nAnswer: -4316, -0.03, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - (2 + -2) - -8. Let r(d) = d**2 - 4*d - 6. Let f be r(g). Solve 4 = 5*h - f for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7227*m + 14452*m - 7225*m - m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 32*-0.4\nAnswer: -12.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1030 - 1021. Calculate the remainder when 385 is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50058, 200258, 450638, 801198, 1251938, 1802858, 2453958?\nAnswer: 3205238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 3*t + 15. Let r(k) = k**2 - 2*k + 10. Let x(s) = 4*o(s) - 6*r(s). Let p(n) = -48*n**2 + 21*n**2 + 1 - 24*n**2. Give x(p(m)).\nAnswer: -5202*m**4 + 204*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 1 + 4 + -5 + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1724952 and 6037332?\nAnswer: 12074664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7831*k**3*t**3 + 2*k**2*t**3 + 5*k**2*t + 47*k**2 - 2*t**3 wrt k?\nAnswer: 46986*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 207 and 92.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -129, -346, -715, -1242, -1933, -2794, -3831?\nAnswer: -5050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1745297 > 1745300?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -133, -899, -2131, -3793, -5849?\n\"Answer: 6*w**3 - 269*w**2 - w + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of y**3\/3 - 1263*y**2\/2 + 3701*y + 3555. Differentiate z(c) wrt c.\nAnswer: 2*c - 1263","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*d + 8, 0*d = -4*d - 2*y. Let n(v) = 3*v**2 + 109*v - 195. Let q be n(-38). Which is the smallest value? (a) d (b) q (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 1:49 AM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 12397463, 49589831, 111577109, 198359297, 309936395, 446308403, 607475321?\n\"Answer: 12397455*h**2 + 3*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*h + 5*h. Suppose q - 281 = -h*y, -y - 4*q = 3*y - 228. Calculate the remainder when y is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 212408 - 187592 = 0. What is l rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1814, 1747, 1682, 1619, 1558, 1499, 1442?\nAnswer: 1387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 540132554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of v**4\/2 - 441*v. Let i(s) = 10*s**2 + 10*s. What is i(h(l))?\nAnswer: 360*l**4 + 60*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or 1889?\nAnswer: 1889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 9*l**3 - l. Let f(c) = -c**3 + c**2 - c - 1. Calculate -a(g) - 2*f(g).\nAnswer: -7*g**3 - 2*g**2 + 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/(sqrt(252)\/sqrt(4)).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 0.317\nAnswer: -0.317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 1\/4*u**4 - 1\/5*u**5 + 1\/3*u**3 - 1 - 1\/2*u**2 + 0*u. Factor z(q).\nAnswer: -q*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jrujjrejk. What is prob of picking 1 j, 1 e, and 1 u?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of k**5\/40 - k**3\/3 - 9*k - 1. Let v(c) be the second derivative of j(c). Let l(q) = -12*q - 4. Determine l(v(f)).\nAnswer: -36*f - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1522*v**3 - 734*v?\nAnswer: -9132*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 8) to base 9\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4755 and 126052831.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*r**6 - 2*r**5 - 25*r**3 - 1494*r**2 + 2*r wrt r.\nAnswer: 3360*r**3 - 120*r**2 - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 4:00 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t**2 + 114*t - 37. Give p(26).\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -q**3\/3 - 11. Let y(k) = 14*k. Calculate y(j(m)).\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/(-14)*6\/10*(-20)\/(-165)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 55132 = 1858. Let t = v - -250799\/22. What is the common denominator of 3\/(-6)*26\/10 and t?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22314 (base 5) to base 10.\nAnswer: -1584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(4\/9)*v*(v**2*v*v)\/v*(v**(-1\/3))**(2\/27) assuming v is positive.\nAnswer: v**(367\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*v - 17*v = 60 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1954915 a multiple of 545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3196500 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c + 1. Let i be ((-44)\/8 + 3)*-2. Let n = i - 4. Give p(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 51*r + 2128. Calculate the lowest common multiple of g(-36) and 8.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**3 - 28*x**2 - 49*x + 273. Give t(15).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -186280\/21 + 8874. Calculate the common denominator of -47\/49 and f.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1483211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five sixths of a day?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 7 + 3 = 0. Let s be (t - 3)*5\/(-16). Let l = 0.2 - 0. Which is the closest to l? (a) s (b) -0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f + 474 - 468, -x + 5*f = -13 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -11\/72?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + sqrt(143) + (3*sqrt(143)*-4 - sqrt(143)) - sqrt(143))\/(sqrt(11) + (sqrt(11) - -2*sqrt(1100)))*2.\nAnswer: -12*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, b: 2, y: 1, k: 5, h: 1}. Give prob of sequence hbkk.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2870 in -2\/5, -0.2, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 + (-2 + 2 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 9, j: 3, t: 1, c: 1}. Give prob of sequence tj.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 157 = d, -4*d + 6*f + 543 = 3*f. Let l = 72 - d. What is l rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96198 and 16.\nAnswer: 769584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.387187986 to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83093652.\nAnswer: 2, 3, 827, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2 = r, -a + 0*r - 2 = r. Let k = a - -1. Suppose 5*z - 4 = 4*g - 6*g, g + 4*z = 2. Solve -b + g = k for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 44 = -4*z, 3*j + 4*z + 0*z - 54 = 0. Calculate the remainder when j is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -162 + 63\/2*d - 3\/2*d**2 = 0.\nAnswer: 9, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of 13*g**5\/60 + 11*g**3\/3 + 12*g**2 - 14. Let z(x) be the second derivative of c(x). Find the first derivative of z(d) wrt d.\nAnswer: 26*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -894, 107 in ascending order.\nAnswer: -894, 17, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 465287 is divided by 356?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -6*f + 4. Let a(n) = -n + 1. Calculate 14*a(k) - 3*w(k).\nAnswer: 4*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8, 22, 40, 62, 88, 118?\n\"Answer: 2*a**2 + 8*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 18, 4, -10?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k**4 + 44*k**3 + 60*k**2 + 36*k + 8 = 0. Calculate k.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 64033540 a multiple of 212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (10*(-2)\/2)\/(-12)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 19143615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1097192750 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.54 + 0.04. Let v = -3 - k. Let q be (-27)\/(-18)*1\/(-3). Which is the biggest value? (a) q (b) v (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16.3 - 16. Which is the closest to 1\/3? (a) 1\/5 (b) h (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -8)\/(((-81)\/18)\/(-30*18\/(-16560)))\nAnswer: -4\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 481750, 963990, 1446230?\n\"Answer: 482240*f - 490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 2422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + z**3 + 0*z**2 + z**2 - z**2 + 3*z in the form x + j*z**2 + n*z**3 + r*z and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 6:07 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 97*s + 31*s - 23 + 63*s.\nAnswer: -3*s - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(3) + 3 + 6*1*sqrt(7) - sqrt(28)\/(sqrt(48)\/(sqrt(12) + sqrt(192))))**2.\nAnswer: 12*sqrt(7) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 5*n**2 - 9*n + 14. Let f be m(6). Which is the third smallest value? (a) -5\/4 (b) -0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t + 27 = 9*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fogf when four letters picked without replacement from {f: 4, g: 6, u: 2, o: 1, c: 1, s: 1}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = q - 2, 4*y - 193 + 197 = q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 9:16 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4508 - 1631. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5038)\/(-916))\/((-5)\/4)?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let d be 67 + -10 + 1 + -2. Let m be ((-251)\/(-2))\/(18\/8). Let h = d - m. Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -10*x**2 + 49*x + 48. Let f be s(-1). What is the closest to 0.2 in f, 0.1, -1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21493965?\nAnswer: 3, 5, 1432931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (5 - 6)) + 2 + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -z - 2*y + 2, z - 4*y = 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3416 - 3406 = -9*y. Is y a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7850833553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 126*f**2 - f - 1. Let w(k) = -2*k + 19. Let p be w(10). Let h be a(p). Suppose y - 24 = 2*m - h, -m - y = -51. Does 7 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/141 (b) 3 (c) 0.53 (d) 1 (e) 0 (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63\/6)\/((-273)\/(-156)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2221898 or -2221879?\nAnswer: -2221898","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**8)**49*(f*f**(1\/10))\/f**1 assuming f is positive.\nAnswer: f**(-3429\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of p**8\/15120 + p**7\/315 + p**6\/15 + 7*p**5\/30 + 24*p**2. Let d(w) be the third derivative of r(w). Solve d(c) = 0 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 615.3 rounded to the nearest ten?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*f + 5*f + 2*f)*(f - 4*f - 2*f)*(-124*f - 41*f**2 + 124*f - 13*f**2) as o + n*f**3 + j*f**2 + x*f**4 + d*f and give x.\nAnswer: 810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 98 + -96. What is the closest to 0.1 in c, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1575200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4324 to 2 decimal places.\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2d8aa - 56?\nAnswer: -2d911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w - 3*w - 8 - 7*w.\nAnswer: -14*w - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 3802 + 307*v**2 - 2*v + 14*v**3 - 305*v**2 + 4*v - 3831 in the form c*v**3 + z*v**2 + s*v + k and give k.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 94*r*s**2 - 24337*r*s - 354*s**4 - 2 wrt s?\nAnswer: 188*r - 4248*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*5*(sqrt(468) - (0 + (sqrt(468) - sqrt(468)*-2))))**2.\nAnswer: 1684800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 30602*g**3 + 2017876*g**2\/3 - 13608*g + 176\/3 = 0?\nAnswer: -22, 2\/321, 2\/143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00145269 rounded to four decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 - 740*h**2 + 16965*h - 76230.\nAnswer: 5*(h - 121)*(h - 21)*(h - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 236 = -241. Is q greater than or equal to -2\/153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8000084 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -99? (a) 5 (b) 14 (c) 0.3 (d) -1\/4 (e) 2\/3 (f) 216\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 27*y - 1. Determine n(-1).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -8905\nAnswer: -1\/1781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -15, -23, -29, -33, -35, -35?\n\"Answer: j**2 - 11*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.101 and 8?\nAnswer: 0.808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-69)\/(-15))\/((-77)\/(102795\/(-89))).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b - 35. Give f(6).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*d**2 - 50*d**2 + 10*d**2 + 13*d**2 + 12*d**2 + 6*d**2.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 h when two letters picked without replacement from {j: 1, f: 3, h: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l + 7. Let u be b(6). Let j(q) = -2*q**2 + 50*q. Let o be j(u). Solve o = -5*y + 27 - 2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(1\/3)\/c*c*c)**(-1\/34)*c**(5\/4)\/c**(-5\/3) assuming c is positive.\nAnswer: c**(581\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d**2*m - 3*d**2 + 69*d*m**3 + 455 wrt m.\nAnswer: -d**2 + 207*d*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-72))\/(45\/72)?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8548\/7 + -1221. What is the third biggest value in 2, g, -10\/3?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(2*sqrt(156) - sqrt(156)) - -4*-1*sqrt(156))\/(sqrt(12) + sqrt(1728)*1 + sqrt(12) - sqrt(36)\/(sqrt(3) - sqrt(48))))**2.\nAnswer: 117\/1849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**3 - z**2 - z + 3. Let n = 7 - 2. Let w(i) = 3 - 6 - n + 3*i + 7*i**3 - 2*i**3 + 2*i**2. Calculate -3*w(j) - 8*x(j).\nAnswer: j**3 + 2*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*f + 5*v + 9 = 0, 2*v = -f. Suppose -6 = f*s, -p - s - 3 = p. Differentiate 0 - 11 + 11*o + p*o + 0*o wrt o.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-30)\/(-9)*6\/5. Let o = -9 + 33. Suppose -g*s = -o + 4. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*b + 26 + 55 + 26 - 105 - 2.\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32954, 32909, 32812, 32645, 32390?\nAnswer: 32029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 987, 985, 983, 981?\n\"Answer: -2*z + 989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*t**2 + 82*t**2 - 222*t**2.\nAnswer: -20*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2404535 and 32857?\nAnswer: 26449885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 3*l. Let c = l - -2. What is the first derivative of -2 + 6 - y - c wrt y?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 774283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 842 + -343. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**2 - n**2 - n**2 + (0 - n + 0)*(2*n - 3*n + 2*n) - 3*n**2 + 4*n**2 - 3*n**2 + (-4*n + 3*n + 2*n)*(-42*n + 64*n + 101*n).\nAnswer: 118*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 7*j**3 + 6*j**2 + 5*j - 6. Suppose -p + 33 = 17. Suppose -m = -3*q, -4*m = q - 5*q - p. Let r(g) = -6*g**3 - 5*g**2 - 4*g + 5. Give m*r(o) + 5*l(o).\nAnswer: -o**3 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y. Let n(g) be the first derivative of -5*g**3\/3 - 1. Calculate n(t(o)).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277563757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 22*l**2 - 110*l + 4. What is the remainder when t(14) is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-28) - 5 - -6)\/((-15)\/(-280)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 177 - 177.185. Let i = p - -5.185. What is the closest to i in -2\/3, -2\/7, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 111182096 and 3184.\nAnswer: 3184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1498 + -1535. Which is the nearest to 1? (a) -3 (b) -3\/8 (c) f (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45.9 - 52. Let c = u + 6. What is the closest to -0.1 in c, 0, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202989*k + 10654 = -202228*k for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*g - 2*g - 7*g - 5*g + 19*g.\nAnswer: 22*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 14 = -10. Let y(v) = 3*v - 9. Let u be y(r). Let l = -4 + 8. Solve u = l*s - 9*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 - -18.2. What is the closest to 0 in 0, 0.3, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 203776, 407552, 611328, 815104?\nAnswer: 1018880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 7, -16?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 1 - 1)*(4109 - 2723 + 3479).\nAnswer: -9730*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34516 (base 12) to base 2.\nAnswer: 10001000011100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*u - 32 = 0, 3*x + u - 28 = -u. Let a(w) = 5*w - 24. Let z be a(x). Is 2979\/z*2*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**2 - 58555*c = 0. Calculate c.\nAnswer: -11711, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2709*t + 2706*t - 3*h = 21, 8 = -4*h. Let o(l) = -l. Let i(p) = 3*p - 2 + p - 4. Let u(c) = i(c) + 5*o(c). Calculate u(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 152 - 138. Let x(f) = 7*f**3 - 4*f**2 - 21*f - 5. Let g(b) = 20*b**3 - 12*b**2 - 62*b - 14. Let t(z) = p*x(z) - 5*g(z). Suppose t(j) = 0. What is j?\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7328665 - -0.04731\nAnswer: 7328665.04731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*13\/((-39)\/(-12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (255\/(-306)*(-4)\/10)\/(18\/(-45036)*6)?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(1 + 39*i - 22*i - 31*i).\nAnswer: -28*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, a: 3}. What is prob of sequence aga?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 954*a - 164*a + 43238 = 5318 for a.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of 1\/3*p**3 - 2 + 0*p**2 - 100*p. Let n(z) = 3*z**2. Give y(n(i)).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 690\/207*(14\/21)\/((-12)\/81)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 60*y**2 + 110*y + 49. What is the units digit of g(-58)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 21 + -11 + -8 + 13 + -12\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*j = 6*j - 3, -2 = -3*u - 2*j. Suppose u = 28*x - 29*x + 2. Let m = 54 - 51. Solve -3*d + g = -9, -x*d + 19 = -2*g - m*g for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -33*s + 21. Give u(4).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 32 + 62 = 34 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z + 6*z - 3*z + 0*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*j = -56574 - 75646, -2*j = -8. Suppose 19*g = 3*g + t. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.24734119 rounded to four dps?\nAnswer: 6.2473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/4 (b) 392 (c) -0.4 (d) 6 (e) -2\/9 (f) -8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + -45. Let m = 97 + i. Does 19 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of 0*q**3 + 0*q**5 - 109*q**2 + 0*q**4 + 0*q - 1\/160*q**6 + 1\/280*q**7 + 0. Find n, given that o(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.49 + 0.01. Let f = 12 - 14. Let y be (6\/16)\/(555\/148). Which is the third biggest value? (a) f (b) h (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.5 in -3\/2, 0.1, 5, 32, 6\/7, -1283?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*o - 204 = -18 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 100*b**3 + 18*b + 205. Let t(k) = 50*k**3 + 8*k + 103. Let s(z) = -4*g(z) + 9*t(z). Find the first derivative of s(i) wrt i.\nAnswer: 150*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63648651 and 165.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 + (-2)\/4*-6. Let d = 0 + -7. Let w = -10 - d. Is w bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68208752.\nAnswer: 2, 4263047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 18*c - 14*c. Suppose 0*x - c*l - 37 = -3*x, x - 3*l = 19. Suppose -4*z - 81 = -x*z. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -600550, -600542, -600520, -600478, -600410, -600310?\n\"Answer: p**3 + p**2 - 2*p - 600550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2705, 5382, 8045, 10694?\nAnswer: 13329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -28*c - 24. Let d be k(-1). Let o be -11 + (d - -6) - (0 + -2). Which is greater: 6\/187 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -104385 greater than -104385?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 2*k - 51 = -3*c, 4*c = 18*k + 19 + 49 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 101 + 12 + (52 - 182)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, h: 3, g: 2, e: 1}. Give prob of sequence hhe.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 71882 and 4826?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/229788 and -25\/421278?\nAnswer: 2527668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -173 - -109. Let h = -40 + o. Let m = 102.82 + h. What is m rounded to one dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -203775\/4? (a) -2 (b) -4 (c) -3 (d) -5 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 150656984 to the power of 1\/2, to the nearest integer?\nAnswer: 12274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a week in hours?\nAnswer: 1568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 113687 and 149?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.4 - 328.39821014.\nAnswer: -329.79821014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 739*r - 887*r = 360 + 380 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - 3*-1*sqrt(153))\/((2*sqrt(45))\/sqrt(5)) - (sqrt(1275)\/sqrt(3)*-4 + 5)**2.\nAnswer: -6825 + 202*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 720 and 2344545360?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -9 + -4 + 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3681262g to milligrams.\nAnswer: 368.1262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwwwqwnqwn. What is prob of sequence nw?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 5*u - 3*i - 70, -14 = -u + 4*i. Solve u*k - 9*k = 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 216*(10\/12 - 5\/15). Suppose s = 12*b - 6*b. Calculate the remainder when 51 is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 2464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/16? (a) -0.3 (b) 4\/7 (c) 0.04 (d) 4\/5 (e) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1070 + 16051\/15. Let k(s) be the second derivative of 0 - w*s**6 - 3\/10*s**5 + 4*s**3 + 8*s**2 + 7*s + 1\/3*s**4. Solve k(x) = 0 for x.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1212 and 1404102?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**2 - 3*c**2 - 30801 - 239*c**3 + 30801.\nAnswer: -239*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 24, -2, 250, 19, -4.\nAnswer: -4, -3, -2, 19, 24, 250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (213392\/(-36))\/(98\/(-335992)). Let h = d - 20322584. Let v = h + 182\/9. Is 0 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (54\/(-504))\/((-24)\/(-28))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -168 + 414. Suppose 0 = -h - 5*h + a. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29370, 58723, 88076, 117429, 146782?\nAnswer: 176135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-2 - -5) - 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xsqsxqzsquxssxsxzs. What is prob of picking 1 u, 1 s, 1 z, and 1 x?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10003 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/800 and 89\/200.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 13*y - 155. Let z be b(12). Suppose 0 = -2*m + o + z, -o + 2*o = -m + 8. Solve 0 = m*f + 2 + 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 106966 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.99139 and -3413840.\nAnswer: -3413839.00861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12209189?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13113*j + 1298*j**2 - 431*j**2 - 432*j**2 - 433*j**2 to the form s + m*j + z*j**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*o + 252511 - 252474 + 38*o in the form b*o + g and give g.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1700) + 2) + sqrt(1700) + 1*sqrt(1700) + sqrt(1700) + 4.\nAnswer: 2 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 36*d**2 + 408*d + 3. Calculate t(9).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g + 6*g + 12*g as z + r*g and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-660)\/(-1540))\/(3\/(-3)*-1).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {b: 6, r: 1, m: 4, x: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**3 - 1346 - a**4 + 564*a + 1346 to the form j*a + z*a**2 + g + t*a**4 + r*a**3 and give j.\nAnswer: 564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5500.13g to kilograms.\nAnswer: 5.50013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 952 divide 271545624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7460601 to the nearest integer?\nAnswer: 2731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 + -30. Suppose i + 0*i - 6 = 0. Let k(v) = -2*v - v + p*v + i - v. Give k(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 335*f - 4. Let g(q) = 667*q - 7. What is 6*g(i) - 11*s(i)?\nAnswer: 317*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + -141341?\nAnswer: -141324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**3 + 74 + 13*i - 144 + 70 to the form u + o*i**3 + y*i**2 + n*i and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**3\/10 + 562107*a**2\/5 + 22484661*a\/10 + 10680223\/5 = 0.\nAnswer: -19, -1, 1124234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-9))\/(-2*4\/(-12))*466\/(-233).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 10 + -14 + 1 + (-7 - 1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -8999999*b**2 + 2*b - 3. Let c be z(1). Round c to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52838 by 20.\nAnswer: -26419\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 28655*b + 315186. Calculate o(-11).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -3*y. Suppose y = 6*x - 4*x. Find the second derivative of 7*o**3 - 6*o**3 + o + x*o**3 wrt o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -221, -205, -179, -143?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**4 + 11*g - 1 - 9*g**2 + 8*g**3 + 3 - 9*g in the form l*g + x*g**4 + f*g**3 + v + w*g**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 6*j**2 + 4*j. Let x be v(-5). Let s = 5 - x. What is the units digit of ((-4)\/(-2) + s)*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 142193789 to the nearest integer?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 313*z - 233. Let p(c) = 2*c**2. Give u(p(o)).\nAnswer: 626*o**2 - 233","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 14*x**2 + 17*x - 15. Calculate q(15).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 62317627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137834?\nAnswer: 2, 68917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-7 + 3 + 1)*(-2*d - d + d) - 2*d + 3*d - 2*d)*(9 - 9 - 9*d + (1 + 1 - 3)*(2*d - d + 0*d)).\nAnswer: -50*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/7 + 0)*-1. Let q = 39 + -40. Which is the third biggest value? (a) 2\/5 (b) q (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hj when two letters picked without replacement from {j: 4, h: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7}. What is prob of picking 4 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3215 - 5.\nAnswer: 3210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3225, -6435, -9645?\n\"Answer: -3210*y - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**4\/(u\/u**10)*(u**(1\/2)\/u)\/(u*u*u**0))**31 assuming u is positive.\nAnswer: u**(651\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 185 and 31265.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, r: 4, u: 2, m: 4}. Give prob of sequence mm.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -6*p**3 + p**2 + 2*p + 2. Let r be m(3). Let d = 239 + r. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2010\/(-24) + -2*2\/3*(-1629)\/2896\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 768, 1382, 2008, 2652, 3320?\n\"Answer: x**3 + 607*x + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8289.618 millilitres?\nAnswer: 8.289618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - k**2 - 5*k + 3. Suppose 10 = -5*i, 4 - 5 = -p - i. Let m be j(p). Let s(v) = v**2 - 8*v + 9. Determine s(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 1370984.\nAnswer: 15080824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, 1\/3, -4, -2\/19, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 at least as big as -6088?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -6. What is the second derivative of 2 - 6 - 2*h + 10*h**2 + u wrt h?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -5*y**4 - 1180*y**3 + 141715*y**2 + 1048110*y = 0.\nAnswer: -322, -7, 0, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4 - 42845668*i**3 + 128536998*i**2 - 128536996*i + 42845665.\nAnswer: (i - 42845665)*(i - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1080.58 rounded to the nearest 10?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 20035675 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7584174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 905109262 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from aaaiiiiakaaikii?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + u = -k, -5*k - 4*u = -1. Let y(s) = -s**3 - 7*s**2 + 6*s + 6. Calculate the common denominator of y(-7) and k*((-177)\/18 + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 242\/3 + (-4)\/(-12). Calculate the highest common factor of 9 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/6 and -64\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 3. Let i(z) = n + z**2 - 2*z**2 - 3 + z. Let j(h) = -2*h**2 + 3*h + 3. Give -6*i(f) + 2*j(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -49212 divided by 2\nAnswer: -24606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 116992529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 357013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 324\/6*(2 + -3). Let a = 62 + k. Suppose a*v - 25*v + 1360 = 0. Calculate the highest common factor of v and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 13*q**2 - 23*q - 23. Let m be 0 - 2 - ((-7)\/(-1) + -20). Let f be t(m). What is f rounded to the nearest 100?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**2. Let g be 0\/(-2 + -3)*-1. Let n(k) be the second derivative of -k + 0 + g*k**2 + 1\/2*k**3. Determine n(h(a)).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fse when three letters picked without replacement from {f: 4, e: 3, s: 7}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 39*a - 959. Calculate c(-17).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/16*(12 - (-2032)\/(-168))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2410312, -4820699, -7231096, -9641509, -12051944, -14462407?\n\"Answer: -u**3 + u**2 - 2410383*u + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 9:07 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5781.5+-0.06658\nAnswer: -5781.56658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 395.34 + -0.34. Which is the second biggest value? (a) w (b) 0 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -43, -81, -119, -157?\nAnswer: -195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, q: 3}. Give prob of picking 3 o and 1 q.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4000037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 2*i - 40. Solve 0 = 2*w + 3*w - i for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.353779 * -8.\nAnswer: 2.830232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.45*-1.2404.\nAnswer: 1.79858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 10:41 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-60))\/((-2)\/18)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 868*t + 39. Is h(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2981\/7, -114, -0.5 in decreasing order.\nAnswer: -0.5, -114, -2981\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 106*j + 323. Let i be p(-3). Put -3, i, 3, -5, 27 in ascending order.\nAnswer: -5, -3, 3, i, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 50 + -1?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/6 + (-42)\/160. Let a = 7\/16 - m. What is the smallest value in 1, -3, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 12*p + 1. Let c(q) = 96*q - 157. Let b(g) = -c(g) + 6*k(g). Calculate b(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 h when two letters picked without replacement from eheixxxeexxxeeeex.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 - -68. What is the closest to -0.1 in -2\/7, 0.4, b?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -343213851203\/36002442 - -1\/2571603. Let l = d - -9537. What is the common denominator of l and (-3)\/(-12)*-4 - 95\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*7*(2*30\/(-80))\/(279\/93)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vvwvwwvvvvvvvv?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 4)\/(120\/18 - 6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*(c**(1\/12)\/c)\/c*c*c*c**(-1\/6) assuming c is positive.\nAnswer: c**(11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 290 and 26535.\nAnswer: 53070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2000, -5335, -10894, -18677, -28684?\n\"Answer: -1112*h**2 + h - 889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 67, 1\/5, 1.4, -107, 3?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)*-4)\/(-1*(sqrt(6) - sqrt(6)*-1)) - (sqrt(128)*2 + (sqrt(18)*4)**2).\nAnswer: -288 - 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -5*n**8\/168 - n**7\/6 - 11*n**6\/45 - 2*n**5\/15 + n**3\/3 - 2. Let m(a) be the third derivative of v(a). Factor m(q).\nAnswer: -2*q*(q + 2)*(5*q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -199927, -400064, -600203, -800344, -1000487?\n\"Answer: -u**2 - 200134*u + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5*v - 4. Let c = -65 - -70. Let u(r) = -c + 0*r + 4*r + 0*r. Let l(y) = -3*h(y) + 2*u(y). Let x(n) = 2*n. Calculate x(l(m)).\nAnswer: -14*m + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -g. Suppose g = -2*y - s + 3480005, -565137 - 2914843 = -2*y + 4*s. What is y rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 61380.74 millilitres?\nAnswer: 61.38074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -3, -34 in decreasing order.\nAnswer: 2, -1, -3, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 1134.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 994748674 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.433 to one decimal place.\nAnswer: 6.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b - 1. Let p be 0 + 1 - (-1 + 0). Let x be m(p). Let u(d) = -2*d**3 - 4*d**2 - 4. Is u(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -111080 * 1.\nAnswer: -111080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -200 + 215.1. Let p = 7.3 - d. Let h = p + 9.08. What is h rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4.4391 or -0.502?\nAnswer: -0.502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hhxhrhxxhxxrxxxx?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 8*l - 2. Let t(z) = z. Let i be -3 + (13 - 3) + -2. Determine i*t(c) - y(c).\nAnswer: -3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, -4, -11, 4, -10?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 6*k**5 - 256*k**4\/3 + 848*k**3\/3 - 896*k**2\/3 + 160*k\/3 = 0.\nAnswer: 0, 2\/9, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/7640 and 125\/4584.\nAnswer: 22920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a - 4. Is w(-7) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 392*f**3 + 3*f - 1. Let r be c(1). Suppose r = l - 3*p, -l + 4*p + 392 = -0*p. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-835)\/(-150) + (-1)\/6. Let h = 6 - 1. Suppose 3*r = -h*n + 3, -4*n = -0*n + 12. Which is greater: r or x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 492684, 1970665, 4433948, 7882533, 12316420?\nAnswer: 17735609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 3. Suppose 5*r + 4*b = 379, y*b - 380 = -5*r - 3*b. Suppose -r = -3*k - 2*n + 3*n, -3*k - 3*n + 63 = 0. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -247 - 236 + 479 - 4*s**4 - 3*s - 4*s**2 in the form d*s + g*s**3 + p + c*s**4 + z*s**2 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*r + 1707 = 2113 - 1827 - 2314 for r.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 265591 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 61865 and 610.\nAnswer: 7547530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -169*l**3 - 1020 + 1651 - 1314 wrt l?\nAnswer: -507*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2252.91016 times -2?\nAnswer: -4505.82032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1405, 1411, 1421, 1435, 1453, 1475, 1501?\nAnswer: 1531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 247 + 477. Let y = i + -670. Calculate the highest common factor of y and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -345*q**2 - 1865*q**2 + 2*q + 3*q**3 - 5*q**3 in the form l*q**3 + h + p*q**2 + i*q and give p.\nAnswer: -2210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0140232 rounded to 4 dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -178*o**2 - 30*o - 5342. Let h be j(106). Round h to the nearest 10000.\nAnswer: -2010000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -241.78185811 rounded to one decimal place?\nAnswer: -241.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 0.5, -3, -13447 in increasing order.\nAnswer: -13447, -13, -3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 10. Suppose 4*b - 219 = -203. Solve 7*g = y*g - 4*u + 28, -b*g + 3*u + 1 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -2 + (-42)\/(-9)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4887*w**2 + w + 809861 - 809861)*(5 + 0 - 3) as d + u*w + m*w**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 142 + -138. Let -2 + 0*y**3 - 4*y**3 - 2 - y + q*y**2 + 5*y = 0. Calculate y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 103638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1787*w - 1219 + 57993 + 21916 = -7086 for w.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17233 (base 11) to base 9.\nAnswer: -36218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -421 - -446.9. Let p = 26 - l. Let i = -0.1 + p. Which is the nearest to i? (a) 0.4 (b) -0.3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/10*-2*(-3)\/(-18). What is the closest to -2.5 in 0.4, 1\/4, x?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - ((15 - (30 - 14)) + -11 - 27)) + 7?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 15*o - 17. Let p be w(4). What is the highest common divisor of p and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9911 + 11631. Does 43 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1084 divided by -4.\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w - 24. Let j be b(12). Suppose j = i - 2*i + 19. Let g = i + -19. Which is bigger: -2\/3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + -1 + 6)\/1. Let s(k) = -k**2 + 8*k - 1. Calculate the least common multiple of s(d) and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110 + 1?\nAnswer: 100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 7 - (-4 + 6 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 33 + 1 + 2 + 0. Suppose -494 = -8*l + 12794. Let n = l + -1616. What is the highest common divisor of v and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2154 + 15075\/7. Let n = 3.1 - 3. Let o = n - 0.3. What is the closest to -2 in -0.09, i, o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(68) + sqrt(68) + -3 - (sqrt(1377) + (-4*1*sqrt(1377) - sqrt(1377))**2).\nAnswer: -34426 - 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(-6*a**4 + 6*a**4 + 5*a**4) + (0 + 0*a**2 + 2 + 4*a**2)*(0*a**2 - 4*a**2 + 3*a**2) - 2144*a**2 - 2*a**3 + 2*a**4 + 4*a**3 + 2118*a**2.\nAnswer: -12*a**4 + 2*a**3 - 28*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 x, and 1 m when four letters picked without replacement from mvzxzxzmxmvxzxzmm.\nAnswer: 5\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1252938971.\nAnswer: 157, 2273, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 5*z**2 - 2*z - 7. Let m be c(-5). Let b = 7 - m. Suppose 3*j - b*j = 2*n - 1, 3*j = -3. Is n less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 3:03 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilogram in grams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 - 17 = 4*q. Let m(y) = 11*y + 12. Let l(i) = 5*i + 5. Let x(o) = -7*l(o) + 3*m(o). What is the tens digit of x(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40 - -28. Calculate the common denominator of (86\/(-3))\/(88\/r) and 41\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 9 + 1. Let a = -1107 - -1109. Let p be 10*(r\/5)\/a. Solve 3*y + p = -4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 1. Let o = 0.203 - 0.133. Let k = -0.33 - o. What is the nearest to -0.1 in y, k, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-26)*(-64)\/80*427\/427.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3\/8 - 29019*m**2\/4 + 11203335*m\/8.\nAnswer: 3*m*(m - 19151)*(m - 195)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 134 - 133.99788. Round r to 4 dps.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 13*y - 20. Let v(u) = -691*u - 14. Let n(p) = -230*p - 5. Let i(w) = y*v(w) + 7*n(w). Is i(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/14 - (-16)\/7. Suppose 56 = -6*v + t*v. Is 6 a factor of (-7)\/(v\/12) - 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -261627642 divided by 130813821\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 1120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38914313?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1359564.48 from -447973.\nAnswer: 911591.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -7*c**5\/20 - 7*c**2 + 7*c. What is the first derivative of l(v) wrt v?\nAnswer: -21*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) -12\/10043 (c) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**2 - 25861*s**3 + 708*s + 12931*s**3 - 1 + 12930*s**3 - s**4 as y + x*s + h*s**2 + m*s**4 + j*s**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - x**2 + x + 2. Let t = 6 + -6. Calculate w(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25337376 divided by 8445792.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 4:23 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 + 6 = 4*z. Suppose -4*s - 20 = -0*y - 4*y, -z = -y + 5*s. Suppose 4*b + 53998 = 2*q + y*b, 6 = 3*b. Round q to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + u - 24112 - 8658. What are the prime factors of u?\nAnswer: 2, 29, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and 280?\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -91722 * -2\nAnswer: 183444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1362 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 4*b + 4. Let g be w(-4). Let i = 15 + -13. What is the second derivative of -p - i*p + 4*p - g*p**3 wrt p?\nAnswer: -24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 3*d + 11. Let l be h(-2). Let i(x) = x**2 - 10*x + 6. Calculate i(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 0*i + 5*i - 4*i. Let s(a) = 583 - 583 + 2*a**2. Give s(k(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 3*q - 12. Suppose -16*v - q = -17*v. What is the remainder when v is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 21. Let b(m) = 4 - m + k - 5. Let n(q) = -3*q**2 + 6*q**2 + q**2. Give b(n(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16020 and 1058655?\nAnswer: 12703860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -3*m**5\/20 + m**4\/3 - m**2 - 5. Let l(x) be the second derivative of s(x). Find the second derivative of l(y) wrt y.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, f: 3, a: 2, l: 1}. What is prob of picking 2 f?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, -3, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.588 rounded to one dp?\nAnswer: 33.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3*sqrt(108) + -3 + 1*sqrt(108)*-2 + 5)**2.\nAnswer: 180*sqrt(3) + 2709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*l - 5*c, -22 = -3*l + 2*c - 4*c. Solve l*f + 15 = -f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 + 322 - 3\/(-3). Suppose 4*u - i = v + 198, -8 = -2*v. Is 132 less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*w + 131 = 20 - 65. Let q(r) = -1. Let t(x) = 2*x + 10. What is w*q(p) - t(p)?\nAnswer: -2*p - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-14)\/(-3))\/(4\/6). Let m(r) = r**2 + 25*r + 124. What is the remainder when (-2)\/(-1) + j*5 is divided by m(-19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676894.4ng in grams?\nAnswer: 0.0006768944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -147825, -147823, -147821, -147819, -147817, -147815?\n\"Answer: 2*n - 147827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -41, -80, -117, -152, -185, -216?\n\"Answer: n**2 - 42*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 6. Suppose 0 = 5*s + y - 13, -5*y = -17*s + 20*s + 1. Solve s*k - 2*k = x for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u - n + 55 - 106 = -7*u, -3*u - n = 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 + 15. Let z = -11 - i. Put -3, z, -5 in descending order.\nAnswer: z, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-9) - (-276)\/9. Calculate the remainder when 62 is divided by (5 + u)*3\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17982*-1.\nAnswer: 17982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of f**5\/12 - 5*f**4\/24 + 2*f**3\/3 + 4*f**2. Is 9 a factor of h(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3 - 636*f**3 + 65*f - 3 - 64*f. Let d be q(1). Does 15 divide (-24)\/(-96) + d\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {o: 1, n: 11, l: 2}?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 6166 - 6166 - c. Let u(d) = 10*d - 3. Let a(p) = -8*p + 4. Let g(b) = 3*a(b) + 4*u(b). Calculate l(g(x)).\nAnswer: -16*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 32\/(72\/9) + (15 - -2). Let v be -2*2 - (-176)\/2. Calculate the greatest common divisor of v and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 157\/(-314) - 1*(-2)\/4. Solve 4*i + 5*s - 25 = v, -5*i + 2*s + 20 = -3 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 9:20 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a + 16902 = -3090. Suppose -3*b + 2*z + 15 = -17, 0 = -3*b - 2*z + 28. Let r be b\/(-4)*a\/70. What is the highest common factor of r and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42.46 - -42.79. Sort 1\/3, p, -40 in ascending order.\nAnswer: -40, p, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*1368\/(-966) - 10.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30400 (base 6) in base 2?\nAnswer: 111111000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1726800043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 2*t + o - 2, -3*o + 2 = 2*t. Suppose 3*f = 3*i - t - 2, -3 = -3*i. Solve -3*k + 5*b - 30 = -8*k, f = -k + 2*b for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2 + 1 - q + 0. Suppose 5*d + 1 - 51 = 0. Calculate the least common multiple of d and p(-4).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -12*x + 7. Suppose -2*l + 5*r = -13, 19*l + 9 = 16*l - 2*r. Calculate m(l).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = z + 14. Put z, 0, -33 in ascending order.\nAnswer: -33, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.68 - 56?\nAnswer: -59.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wg when two letters picked without replacement from {g: 1, w: 17}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1289914162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 11. Suppose 0*m = -f*y - 3*m + 24, m = 3*y - 5. Suppose 0 = -5*c - 20, 3*j - y*c - 12 = -2*j. Solve j = 3*t - 5 - 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q*q*q**(-3\/5))*q**3 assuming q is positive.\nAnswer: q**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i**2 + 1. Let y be a(1). Suppose 0 = 4*j - 0*j + 8. Let g = y + j. Sort 3\/8, g, -1\/6 in descending order.\nAnswer: g, 3\/8, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 22240\/5*(162\/(-24))\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 68*2\/10 - 15248\/1906.\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 693 a factor of 363729566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*z + 5129 = 0, 3*n + 5*z = 5474 - 336. Suppose 14*k - 1019 = n. Suppose -4*q - a = -865, -q + k = -6*a + 2*a. What are the prime factors of q?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 8*f - 40. Let j(u) = u**2 - 4*u + 8. Let v be j(6). What is the hundreds digit of s(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -77*s**2. Let u(a) = 4025559*a. Calculate u(q(d)).\nAnswer: -309968043*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -318, -284, -246, -222, -230, -288?\nAnswer: -414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 1 - 34 = 0. Let a = j - -12. Let y(g) = -g**3 - 12*g**2 + 12*g - 3. Let v be y(-13). Solve -a*x + 11 = -v*x - 2*h, 2*h = 4 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 169? (a) -68 (b) 1 (c) -48 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -56490a (base 11) in base 10?\nAnswer: -899524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-12) - 65702\/(-257754)?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -3*h**2 - 15*h + 42 = 0.\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 389*q**3*t*z**2 + q**3*z**2 - q**2*t*z**2 - 200*q**2*z**2 wrt t.\nAnswer: 389*q**3*z**2 - q**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14113138 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -11*a + 37. Suppose -5*y = 3*x + 1 - 10, -4*x + 12 = 3*y. Calculate the smallest common multiple of x and a.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/26*-13 + 33\/14. Factor 100\/7*h**3 + g*h**2 - 36\/7 - 12*h.\nAnswer: 4*(h - 1)*(5*h + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/2591500 and 23\/1825.\nAnswer: 2591500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12112212100 (base 3) to base 16.\nAnswer: -1aac3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 3*r**2 - 806766*r - 205920405 = 0.\nAnswer: -255, 269177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sklslsktbsk. Give prob of picking 1 b and 1 l.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + 4*f + 1, 26 = -31*r + 32*r + f for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1344721600.\nAnswer: 2, 5, 840451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1470222 is divided by 86475.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-4)*(4\/(-5))\/(594\/99)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -466.12983 to the nearest integer.\nAnswer: -466","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - 4*n - 2*n)*(-3*n - 3*n + 1 + 4*n).\nAnswer: 4*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - 1\/(-2)*2. Let w be q*((-2)\/4)\/(-1). Suppose -5*x + v + 32 = w, 2*v + 36 = 5*x - v. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -15\/26, 5 in decreasing order.\nAnswer: 5, 2, -15\/26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 15547935, 31095871, 46643807, 62191743, 77739679?\n\"Answer: 15547936*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**5\/3 + 20*i**4\/3 + 16*i**3.\nAnswer: -2*i**3*(i - 12)*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of (-12)\/(-3) + 3204\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 4. Let h = -6.3 - -6. Which is the nearest to 1? (a) h (b) p (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, z: 4, u: 5}. What is prob of sequence uzu?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(6*-2*sqrt(11)) + ((sqrt(7) + sqrt(7)*-1)*-2 + sqrt(7))*-5)**2.\nAnswer: 26047\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/55 and -103\/88.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -y**5\/60 - y**3\/6 - 5*y**2 - 20*y. Let g = -25 + 27. Let i be ((-6)\/(-5))\/(g\/(-5)). Give m(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (30\/72)\/((-10)\/(-4)). Suppose -2*n + 1 - 11 = 3*l, n = -3*l - 11. Which is bigger: v or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*k - 31*k + 36*k - 20*k - 37*k - 10 to y + p*k and give p.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -6. Let k = w + 0. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((48\/(-28))\/((-3016)\/9744))\/((-24)\/(-208)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1722*1008.\nAnswer: -173.5776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(3\/(-6)*-2). Let c be (-1)\/(1 + f)*-2. Solve 0 = -c*k + 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - m. Let t be w(-1). What is the third derivative of 5*x - 3*x - 2*x + 7*x**t - 3*x**6 wrt x?\nAnswer: -360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 33 = -d - 2*d, 2*d + 4 = 0. Suppose -7*q = -r*q - 1000000. What is q rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7844317.\nAnswer: 13, 179, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1176)*5 - sqrt(1176)) + -2*sqrt(1176)*-2)\/(sqrt(12)*-4*-1 + -1*sqrt(12)*-6).\nAnswer: -49*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**3 - 4*g**2 + 3*g - 1. Let r(z) = -z**2 - 8*z - 5. Let a be r(-7). What is the remainder when w(a) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 4:44 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 1 = -2*o, 2*a = -5*o - 12 + 1. Let m = o - -3. Suppose -5*b + 3*v - 3 = m, -3*v = -b - 1. Is -2\/31 != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -9*u**3 + 2*u**2 - 5*u - 356. Let i(r) = -2*r**3 - r + 1. Calculate 4*i(s) - p(s).\nAnswer: s**3 - 2*s**2 + s + 360","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w + 1. Let i be x(1). Suppose -3*n = 2*l - 10, 0 = -2*n - i*n - 2*l + 18. Let h = 4 + n. Solve -2*c + h = -0*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w + 1. Suppose 22*t = 32*t + 40. Let q be a(t). Solve -1 + q = -4*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 1 = -4*a. Let t(r) be the second derivative of -1\/2*r**3 + r**2 + 0 + 1\/4*r**4 - 1\/20*r**5 + a*r. What is t(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44*k**2*r*u**3 + 30*k**2*r*u + 2*k*r*u**3 - 3*k*r*u wrt u?\nAnswer: -264*k**2*r*u + 12*k*r*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 240 - -230. Let z = 458 - h. Which is the nearest to -2\/3? (a) z (b) -2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.098 - 0.102. Let m = -0.051 + -0.349. Which is the nearest to -1? (a) m (b) d (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 11:18 AM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 20)*(2 + (-5 - -4)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + -16. Which is smaller: 8 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 859*g**2 + 34596*g**2 - 6636*g**2 + 41619*g**2.\nAnswer: 70438*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(5\/4)*q*q\/(q*q**(1\/9)) assuming q is positive.\nAnswer: q**(77\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 = k - 12*k. Suppose 0 = -k*g + 13*g. Factor g*u**2 - 8*u - 6*u**2 - 8 + 4*u**2.\nAnswer: -2*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2479332 to the power of 1\/2, to the nearest integer?\nAnswer: 1575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34300 is divided by 157.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 4 = 3*l - 17, 4*g - l - 27 = 0 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a9 + 4?\nAnswer: b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 29 - 2) + (-3910 - -3832).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**2 - 5*h**2 + h**2 + (3 - 3 - h)*(4*h - 2*h + 0*h) + 22*h - 22*h - 5*h**2.\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**3\/6 - 6667*m**2\/6 - 5554444*m\/3 + 5557778\/3 = 0.\nAnswer: -3334, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.88143 + 4.58142944. Let k = q + -0.7. Round k to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 m when four letters picked without replacement from hommhohomsoooohooomh.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/12, -0.03, -1.57, 0.21, -4?\nAnswer: -1.57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -21. Calculate the smallest common multiple of 10 + 1\/(2\/(-8)) and o + (2 - 0\/(-1)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 17 = 11. Let z = w + 1. Are z and -6 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 5, -13 in ascending order.\nAnswer: -13, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136796 is divided by 285.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*b + 3*k, 0*b + 2*k + 20 = 4*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7468 = 21*h - 27371. Let p = -891 + h. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 2*o + 25 - 1034*o**2.\nAnswer: -1034*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymy when three letters picked without replacement from {y: 9, m: 11}?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26406468*t**2*x**2 + 2*t**2*x + 5*t**2 - 54*x + 612 wrt x?\nAnswer: -52812936*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88494 by -98.\nAnswer: 903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11955.\nAnswer: 3, 5, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 883862539?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.81102 rounded to 2 decimal places?\nAnswer: 10.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-43)\/258)\/(2\/(-3)) + 49\/(-276). What is the biggest value in -2.4, -0.1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b + 19*b**2 + 22*b**2 + 7*b - 59*b**2.\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 17. Let j = -5 + i. Suppose 3*h = -5*y + 31, j*y + 0*h - 49 = 3*h. Does 8 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1 - 9 + 15*i**3.\nAnswer: 15*i**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, -3\/2, 957, 76, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36380303563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u + 5. Let y(f) = f + 2. Let d(c) = c**3 - 5*c**2 - 7*c + 1. Let z be d(6). Give z*y(b) + 2*i(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.017537 minus 0.025662589?\nAnswer: -0.008125589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**4\/6 + 43*m**3\/2 + 2282*m**2\/3 + 6574*m - 49096\/3 = 0. Calculate m.\nAnswer: -76, -38, -17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12\/(-40))\/(-1))\/((-58)\/(8120\/(-98)))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/3190570 and -111\/20.\nAnswer: 6381140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2942 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(1\/(-55) - 26\/143)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*y + 3, -2 = -5*y - 17*g + 15*g. Put -45\/13, 2, -4, y in descending order.\nAnswer: 2, y, -45\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -45*p + 174. Let z be a(4). Let r(n) = -11*n**3 - 6*n**2 + 6*n + 6. Let y(g) = -7*g + g**3 + 2*g**2 - g**2 + 6*g - 1. Calculate z*y(w) - r(w).\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 + 1)*(-2*m + 0 - 1 - m).\nAnswer: 18*m + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.446 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2519*u - 12670. Give f(7).\nAnswer: 4963","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -114.9 to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**2 + 27*z - 1. Let b be w(-11). Suppose 35 = 4*i - b. Let v = i - -28. What is the remainder when v is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 - -0.9. Which is the closest to j? (a) 1\/4 (b) 3\/5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((v\/(v*(v*(v**1\/v)\/v)\/v*v))\/v)\/v)\/v)**(19\/4))**(3\/28)\/(v**(2\/9)\/(v**0*v)*v*v\/v**(-1\/2)*v**(4\/3)) assuming v is positive.\nAnswer: v**(-4619\/1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/9 + 14955412*c**2\/9 - 3106450940736*c + 6212895234624.\nAnswer: -2*(c - 3738852)**2*(c - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 11. Let g be u + 3 + 2 + 0. Solve g = -5*b + 8 + 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 8*t = 0. Suppose t = -a - 2*c + 4*c - 24, 0 = -5*a - 4*c - 78. Let q = a - -19. Calculate the least common multiple of 3 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 6*o + 3. Let u be w(7). Suppose -4*p + 178 - u = 0. Calculate the greatest common factor of p and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 8 = -4*z - 2*p, 3*z - 4 = p. What is the second derivative of k + z*k**2 + k**2 + k**2 wrt k?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**5\/4 + 123*a**4\/4 - 2521*a**3\/2 + 34399*a**2\/2 + 5043*a\/4 - 68921\/4 = 0. Calculate a.\nAnswer: -1, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30 in -0.2, 0.071, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1291783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**4 + 7*o**2 + 3*o**5 + 52*o**3 + 25*o**4 - 10*o**3 - 7*o**2 = 0?\nAnswer: -7, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 492 + -478. Let p be (-8)\/f*(-5 + 66\/12). Is p less than 3.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 4 + 60\/3*1.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 12:43 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 125479 and 0.09?\nAnswer: 11293.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 14*t + 2. Let i be p(-14). Solve -i*b - 2*b + 20 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -2, -121?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*h**4 + 16*h**4 + h**4)*(-5*h + 2*h + 4*h).\nAnswer: 28*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5120107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 95.4844 kilometers?\nAnswer: 95484.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -82 - -101. Suppose -15*n**2 + t*n**2 - 2*n**2 - 24*n - 38*n = 0. What is n?\nAnswer: 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 + -20. Suppose 5*x - 2*x - n = 0. Suppose x*y = 5*y - 6. What is the remainder when 5 is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + -3600 + 2\/(-2). What is a rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 0*1\/3. Let l(t) = -4*t + 4*t - 5*t**2 + 4*t**r. Let j(i) = -i. Determine j(l(z)).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/9218169 and 23\/5454?\nAnswer: 55309014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1206720*y**3 - 4*y**2 + 4*y**2 + 1133360*y**3.\nAnswer: -73360*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 653\/(48\/40 + 1\/(-5)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-1\/11)*p**(-4)*((p*p**(-1\/4)*p)\/p)**(-1\/35)*(p**8*p*p**(1\/6)*p*p)**48 assuming p is positive.\nAnswer: p**(820647\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/26 and 89\/4?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 36 in 4, 0.3, 140, 0.5, 55\/3?\nAnswer: 55\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = -3*u + 4*h, u + 3*h = 2*u - 30. Suppose 3*s = 3804 - u. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -107870, -5, -3\/7, 0.01?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -47 + 31. Let a(g) = -g**2 - 3*g + 2. What is a(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4002 and 796746?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -770\nAnswer: 771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3563, -5265, -8103, -12077, -17187, -23433, -30815?\n\"Answer: -568*w**2 + 2*w - 2997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57774406?\nAnswer: 2, 131, 220513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = u + 5. Suppose 0 = -3*r + u*r - 6. Let t(n) = 0*n**2 + 0*n**2 + n**3 + 177 - r*n - 178. Determine t(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1335\/7 + 191. Let y = -26 + 76\/3. Let a be (1\/(-2))\/(33\/(-44)). What is the closest to y in w, 0.2, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/5 (b) 201 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a**3 + 0*a**3 - a**3 + (-2*a + 3 - 3*a - 5)*(-5*a**2 + 0*a**2 + 3*a**2) as b + p*a**3 + w*a + h*a**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29? (a) 1\/4 (b) -0.1 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 124, -372178, -5.\nAnswer: -372178, -5, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.11 and -0.68239.\nAnswer: -0.57239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 3. Let s be w(0). Let l be -33*2\/s - 3. Suppose -b = -0*b - l. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + p**2 + p - 1. Let n(t) = -2*t**3 - 3*t**2 - 2. Let x(d) = f(d) - n(d). Let s be x(-3). Solve -2*k - 1 + s = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1893*c*j*u + 3667*c*j + 511*c*u + 11*c + 25*j + 2 wrt u.\nAnswer: 1893*c*j + 511*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14 + -12 - (-3)\/270*-321 and 23\/195.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of 5*z + 0*z**4 + 9*z**2 + 0*z**5 - 3\/5*z**6 + 0 + 0*z**3. What is the first derivative of n(a) wrt a?\nAnswer: -72*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 44212203 - -4?\nAnswer: 44212207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34810.976927 + -34811. Round u to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 188 + -7 + 6 + 1 and 22.\nAnswer: 2068","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/(-117)*(-42)\/28.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + -13. Let m = c + 3. Let u = m + -6. Solve u*g - 7 = 9 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b + 240 = 50*b. Let i(c) = b + 0 + 21*c**2 + 3*c - 19*c**2 + 3*c. Calculate i(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oj when two letters picked without replacement from {j: 2, d: 1, o: 1, q: 1, x: 2, g: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 20940.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -3*v**4\/2 + 39*v**3 + 4221*v**2\/2 - 4332*v + 2184 = 0.\nAnswer: -28, 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5172*i**5 + 9*i - 102 wrt i?\nAnswer: 103440*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*v - 61*v - 23138610 = 0. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1615 and 255.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-64) + 7268\/27808.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13392 and 24304.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jej when three letters picked without replacement from eeeejjeeeeeeeeeeee.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 1 + 14. Let b be ((-11 - -5) + 3)*-1. Suppose 83 + 172 = 3*a + b*z, -3*z = -d*a + 279. What are the prime factors of a?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 444467?\nAnswer: 19, 149, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 99.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 6:09 PM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.19 (b) -2 (c) 0 (d) -1 (e) 7349 (f) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 14 = 2. Let p(w) be the third derivative of -3*w**4\/4 - 4*w**3\/3 - 25*w**2 - w. Is 8 a factor of p(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 548224387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6\/25 of a millisecond?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*t**4 + 13*t**4 - 6*t**4)*(-4 + 13 + 9) + (t**2 - t**3 - t**2)*(0*t + 3*t - t) as a*t**4 + c*t**3 + l + x*t + q*t**2 and give a.\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -131.\nAnswer: -9\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 1 - 3)*(241 - 853 + 225)*(2*u - 2 + 2)*(-u - u + 0*u) in the form f + z*u + n*u**2 and give n.\nAnswer: 4644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -204025, -204026, -204027, -204028?\nAnswer: -204029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*((-2)\/(-4))\/(2\/2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1420054 + 13?\nAnswer: -1420041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -63671809?\nAnswer: 4\/63671809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by 13.\nAnswer: -21\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -2*w + 66, v + 3*v - 5*w - 87 = 0. What is the remainder when 143 is divided by v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26004 and 2096868.\nAnswer: 2364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -b**6\/30 + 8*b**5\/15 - 10*b**4\/3 + 32*b**3\/3 - 29*b**2. Factor x(i).\nAnswer: -4*(i - 4)*(i - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 8 = -4*d, d = 2*w - 4*w + 7. Suppose -3*k + 6 = 0, 3*g = w*k + k + 156. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, l: 1, e: 1, m: 1, h: 3}. Give prob of picking 1 m and 1 e.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4*o**2 + 15*o + 5. Let v(f) = -f**2 - 1. Suppose 2*p - 13 = 3*d, -p + 85 = -3*d + 71. Give p*c(h) - 5*v(h).\nAnswer: h**2 - 15*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/13525 - -135312\/419275. Let c = 7 - 13\/2. Is w smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((h**3\/h)\/h)\/h)**19)**3)**20)**(-3\/5) assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 2*w - 3009789 - 4482095, -2*o + 3745966 = 4*w. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 278 - 394)*(-3*h**3 + 3*h**3 - 2*h**4).\nAnswer: 1336*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 1 + 11 = 0. Let c be -3*(-3)\/(-6) + 15\/(-6). What is the units digit of (v\/3)\/(c\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.9, 2\/7, 8, 2\/9, 4\/3, 25, -1 in descending order.\nAnswer: 25, 8, 4.9, 4\/3, 2\/7, 2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1421058618?\nAnswer: 2, 3, 7, 11278243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2009293 = -10*t + 7*t - 10*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*a - 24 = 3*b + 35*a, -4*a + 13 = -5*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100154875 is divided by 7728.\nAnswer: 7723","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 561584 to the nearest integer?\nAnswer: 749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -16, -17*g - 4*i = -14*g + 14. Solve -g*k + 56 = 20 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 - 5*j**2 - 6*j**2)*(1 - 1 - j)*(3 + 2 - 4)*(1 + 3 - 3).\nAnswer: 13*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2047, -3531, -5015, -6499, -7983, -9467?\nAnswer: -10951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 511786 (base 13) to base 5.\nAnswer: 440413031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -1017.2.\nAnswer: -5086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10, -6, 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/10 - (-29)\/10. Suppose -s*f = -0*l - l - 216, -3*l + 144 = 2*f. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 90.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248595532.\nAnswer: 2, 167, 372149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 219 + -220. Let z be (-3592)\/(-24) + 4\/3 + h. Let l = -11 - -26. Calculate the highest common factor of z and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**0*m)**(-13)*m**(-6)\/(m**(-5)*m))\/((m**(1\/4)\/m)**(-21)\/((((m**(1\/7)\/m*m)\/m)\/m)\/(m\/((m\/((m\/(m\/m**5*m))\/m))\/m)))) assuming m is positive.\nAnswer: m**(-1389\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 40 + -607?\nAnswer: -547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*s - 2*s - 8 = 0, 0 = -5*s + 15. Let i be t - 2*(-2 - 0). Solve i*g - 5*v - 2 = 5*g, 2*g = -v + 6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1032563743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1719*n*o**4 - 6493*n*o**3 - 12*n*o**2 + 2522926*n wrt o?\nAnswer: -41256*n*o - 38958*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93914921?\nAnswer: 93914921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -331*f + 7747 = -2854 - 1646 for f.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 73077 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 - 4*d**2 + 0*d**2)*(-d + 0*d - d + (d + 0*d - 3*d)*(2 + 2 + 1)).\nAnswer: 24*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 352 and 9008?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3515334 equal to -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 3, -0.1, 2\/9 in increasing order.\nAnswer: -9, -0.1, 2\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}