diff --git "a/data/dm_maths/full_data_1/2291_11255.jsonl" "b/data/dm_maths/full_data_1/2291_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2291_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let a = -41 + 4. Let q = a + 36.901. What is q rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiccixcccmcc. Give prob of sequence imci.\nAnswer: 7\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 8*r - 3. Let v be o(-7). Suppose -2*q - 11 = -f, f - 3*q - 62 = -v*f. Suppose x - z = f, -3*z - 82 + 13 = -5*x. Solve a + x = -2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**5 + 28*x**4\/5 - 6*x**3\/5 - 28*x**2\/5 + 16*x\/5 = 0. What is x?\nAnswer: -1, 0, 4\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1643*q - 951*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(650)*-1 - sqrt(650)) + sqrt(650))\/sqrt(2).\nAnswer: -10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**5\/4 - 271*q**4 - 132757*q**3\/4 + 33460*q**2 = 0 for q.\nAnswer: -112, 0, 1, 1195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 799368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 650 - 656.85. Let v = 0.85 + l. Which is the biggest value? (a) v (b) 1.9 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -7 + 17\/2 - (-2649)\/2.\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (36 + (-3 - -2))*(-347 + (-252408)\/(-728))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f**4\/2 - 895*f**3\/2 - 20670*f**2 - 56320*f + 77440 = 0. What is f?\nAnswer: -88, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*d - 33396 - d**3 + 33436 + 13*d + 0*d**3 - 2*d**3.\nAnswer: -3*d**3 + 29*d + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o + 652. Let f(s) = 5*s + 521. Let p(k) = 5*f(k) - 4*x(k). Let u(b) = -2*b - 5. Let w(r) = 9*r + 24. Let z(h) = -24*u(h) - 5*w(h). What is z(p(n))?\nAnswer: 15*n - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2\/6 - 553*n\/6 - 37.\nAnswer: (n - 111)*(5*n + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 1:37 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 23*u**2 - 24*u + 46. Let q be d(22). Solve q = c, -j + 0*c = c - 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 9*l + 9. Let g be t(8). Solve g = -3*j + d, 4*j + 7 = -d - 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 4, 15 in decreasing order.\nAnswer: 15, 4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -4*w**2 + 0 + 5\/12*w**4 - 2*w + 0*w**3. Differentiate u(c) wrt c.\nAnswer: 10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2194758793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-25)*5 - 0\/12. What is the nearest to -2\/17 in 1\/5, 2, t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*(-7)\/56*1*3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 2. Let t be g(6). Let f be 2435\/(-20) + 1\/t. Let q be (-18)\/(-24) + f\/(-8). What is the highest common divisor of 16 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 0.5, -1\/6, 6\/5, 2\/19 in ascending order.\nAnswer: -2\/5, -1\/6, 2\/19, 0.5, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9937598 to the power of 1\/2, to the nearest integer?\nAnswer: 3152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5739756 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41 - -66. Suppose 5*b - 140 = h, -4*b + h + 83 = 6*h. Suppose 0 = f + 2*f - b. Calculate the remainder when s is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (13 - -3) + 6 + 2. Solve 3*a - m*y = -23*y + 10, -3*y - 14 = -a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.002048 months to decades.\nAnswer: 0.0333504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320)*2)\/sqrt(10) - ((sqrt(2) + 1*sqrt(2))*-5 + sqrt(2) - sqrt(8)\/sqrt(64)) - (sqrt(144) - (-2*sqrt(144) + sqrt(144)))\/(sqrt(16)\/sqrt(2)*6).\nAnswer: 65*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 16. Let l = -10 + 14. Suppose 11 = -2*b + 3*a, 5*b + 25 = a + l*a. Sort o, -2, b.\nAnswer: b, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((-1 + sqrt(325))*-3)**2 - (sqrt(325)*2)**2*1) - (-3*(sqrt(1053) + 1) - ((sqrt(78)*2)\/sqrt(6) + 5)).\nAnswer: -3260 + 209*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*((-15)\/12 - -2). Let s = -155 - -153. Let a be s + x - (1 - 5330000\/(-1)). Round a to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -21*u. Let v be k(-1). Let y = -11 + v. Is 5 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -19\/2, -157898, 2, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 1\/3 (c) -12\/4775 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*i*o**3*r**2 - 6*i*o + i*r - 62*o**3*r**2 + 258*o*r**2 - 2*o*r wrt o.\nAnswer: 108*i*o*r**2 - 372*o*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 13\/9032?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*f - 4*w, -f - w = w - 10. Suppose -4*v - p + 7 + f = 0, v - 2*p = 0. Let r be -2 - (2 + -2*v). Solve 2*m - 10 = -r*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**2 - 9*j + 5. Suppose -65 = 11*x - 10. Let z be p(x). Suppose z = 17*h - 16072 - 7422. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 4*l - l + 2*l - 33 = 0, -9*f - 61 = -5*l - 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 14*g**3 - g**2 + 1. Let d be f(1). Suppose 0 = -w + 2*b - 8 + 1, -2*b - d = 2*w. Let o = w - -8. Solve 2*a + 5 = o for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8003 + 1868. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + -12 + -6 + 14 + 84 + -67.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1458 and 21?\nAnswer: 10206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 8*a + 1. Let m(l) = -15*l - 1. Determine 3*m(u) + 5*q(u).\nAnswer: -5*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaaa when four letters picked without replacement from aaaaaaaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 9*o. Solve 0 = -b - o*b - 0*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (3 + 2 + 2 - 4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32436 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 21625680 divided by 5406420\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o + 246. Let z be l(-12). Is 5 a factor of (-2185)\/(-7) + (-30)\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 u, and 1 l when three letters picked without replacement from pulur.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - (1 + 1))*11. Let d = -6 + c. Solve -5 = -d*f + 10 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4161 - -24889\/6. What is the common denominator of n and 61\/5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 32383004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14470 and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 35*a**4\/12 - 9*a + 44. Let d(r) be the first derivative of j(r). Let f(u) = -4*u**2. Give f(d(s)).\nAnswer: -4900*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b (base 12) in base 16?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 417, 844, 1271, 1698, 2125, 2552?\nAnswer: 2979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 429200 divided by -185.\nAnswer: -2320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -41*g**2 + 203*g + 10. Let m be j(5). Solve -y + 0*y + 3*y = m for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 534138 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 12\/13, 4, -4\/3, -1, 2\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (42\/(-4))\/((-11)\/(-22)). Let a = 23 + u. Find c such that 0*c + 0*c**a - 2\/3*c**3 + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mdkm when four letters picked without replacement from {m: 5, d: 4, k: 2}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 - -2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 224 divided by -32\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 6*t**2 + 4. Let z be r(-2). What is the highest common divisor of 3836 and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l - 13. Give z(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34.9 - -34.6. Which is the fourth biggest value? (a) 2 (b) -4\/3 (c) 1.2 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence co when two letters picked without replacement from {k: 8, c: 3, o: 6}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 - (-44)\/8)*(-9 + -1). Let t = -9 + 6. Sort n, 0, t in ascending order.\nAnswer: n, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.66 - -0.66. Sort b, -4, -1.1, -1\/2 in decreasing order.\nAnswer: -1\/2, -1.1, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3239996785.35422369 - -3239996801. Let k = d + -15.773779. Let s = k - -0.128. What is s rounded to seven dps?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18943*o**2*q**3 - 74*o*q**3 - 106*o*q**2 wrt o.\nAnswer: -37886*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*r - r + 51*r to the form a + n*r and give n.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three tenths of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 7:02 AM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -u**5\/20 - u**4\/6 + u**3\/3 + u**2\/2 + u. Let m = 26 + -29. What is i(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*6\/54*-150. Calculate the highest common factor of 450 and j.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 10 = -3*a, 3*h + 2*h - a = 0. Suppose 0 = 3*c + w - 2, 5*c = 5*w - 0*w + 30. Let d = -2 + c. Solve 0 = -d*l - 4*l - 4, -2*q + h = 3*l for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -19, -36, -57, -82, -111, -144?\n\"Answer: -2*j**2 - 11*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5226 greater than or equal to 26126\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 6*z - 3*g - 99, 0 = -2*z - 2*g + 60. Let k = z - 19. What is the smallest common multiple of k and (-10)\/(-4) + 1\/2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g**3 + 13*g**2 - 13*g - 18. Let d(q) = q**3 - q**2 + 1. Let f be (-10)\/(-4)*32\/20. Let j(y) = f*d(y) + c(y). What are the prime factors of j(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 5. Let n be 0 + -2 - y\/(-1). Suppose 0 = 3*w + 4*v - 11, -2*w + 3*w + 7 = 4*v. Solve t = w - n for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 945189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 3*r - 22, -2*s + 7*s + 3*r = -128. Let m = 336 + -291. Let y = s + m. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - n - 8 = 0, 4*f = 8*f - 3*n - 29. Let p(h) = -f*h + 8*h + h. Let z(b) = -6*b**2. Give p(z(m)).\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 392836 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 3123331030?\nAnswer: -3123331013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/15)\/((-2)\/549). What is the third derivative of 6*w**3 + 5*w**2 - h*w + 183*w wrt w?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2261087 to the power of 1\/2, to the nearest integer?\nAnswer: 1504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 11*z - 223. Let p(c) = -976*c. Determine p(d(m)).\nAnswer: -10736*m + 217648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*j + 20, -j = -3*q + 77. Suppose q - 5 = 2*o. What is the least common multiple of 5 and o?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 28 = 8. Suppose -3*k - 5 = -2*p, 2*k = q*p - 3 - 3. Let x be (48\/(-10))\/(-3)*5. What is the highest common divisor of p and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3158?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 275610 (base 8) in base 4?\nAnswer: 113232020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38 - -34. Which is the biggest value? (a) 3\/2 (b) 0.11 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -959547 divided by -72?\nAnswer: 319849\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 585*u = 701*u + 2784. What is the nearest to 1 in 0.1, 2\/5, u, 2\/11?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 33 = 5*d + 3*u, 2*d - 5*u = 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 316 + 311, -16 = -2*u - 2*q. Sort 1, u, -2, 2, 12.\nAnswer: -2, 1, 2, u, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.988 - 1.012. What is the closest to -2\/7 in -4\/7, 5, -2\/61, o?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-57)\/5 - (-22)\/55. Let k = 16 + y. Let l(z) = 3*z + k*z - 5*z. Let v(g) = -2*g**2. What is l(v(d))?\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*c**3)*(c**2 + 6*c**2 + 0*c**2).\nAnswer: 14*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*w**4 + 33*w**4 + 2 + 31*w**2 + 30*w**2 - 58*w**2 - w - 15*w**4 - 23*w**3 in the form a*w**4 + v*w + t*w**3 + p*w**2 + u and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16 + 353*f**3 - 121*f - 66 - 336 + 121*f wrt f.\nAnswer: 1059*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gaqaaazgpgyqaqzza. Give prob of sequence yz.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 480*p - 481*p = -1, -5*q + 4*p + 83871 = 0. What is the hundreds digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 2330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(3*sqrt(3072) + sqrt(3072) + -4))**2.\nAnswer: -16384*sqrt(3) + 786688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2691*y + 2702*y + 2704*y + 2705*y + 2709*y - 13527*y.\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -125.7245 or 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1128 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*r = 25*r - 26. Let j = -7 + r. Solve -l = -j*l - 15 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*g = -0*d - 3, 5*d - 5*g - 5 = 0. Let r be d - -3 - (-19)\/19. Find the first derivative of -2*o + 9 - 2*o - r*o - 2*o wrt o.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in -23, -8, -4, 0.3, 3\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 33\/(-24) + 3\/(-8*(-1)\/4)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 4*s - 4*q - 280, -5*q - 220 = -3*s. Is s*(-4 - (0 - 5)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -331 = 18*j - 522 - 385. Solve 0 = -8*n + 16*n - j for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 i, and 1 r when three letters picked without replacement from {o: 2, v: 1, i: 1, e: 2, r: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**2 + 429*b + 1482922 = 0.\nAnswer: -1022, 1451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32804857?\nAnswer: 32804857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k = -31 - 1. Does 29 divide 2\/k*(0 - 349)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-935)\/(-153) - 6) + (-2)\/(-18)*227 and 17\/1473?\nAnswer: 1473","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 19 + 7 = 0. Suppose 3*v + t*v = 560. Calculate the remainder when v is divided by (128 - 129)*(-1 + -40).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 250858, 250866, 250878, 250894?\nAnswer: 250914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v + 5. Let t be 5 + ((-3)\/1 - 0). Suppose -i + t*f = -f + 11, -3 = 3*i - 3*f. Suppose 0*k + k - 5 = 0. Let s(d) = d - 4. Give i*n(y) + k*s(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - (-4)\/(-4)) + 3. Suppose -4*x + 403 = 3*o, 2*o + 521 = -x + v*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.388 + 10997.44?\nAnswer: 10998.828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 7:48 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 2 - ((-12)\/4 + -1). Suppose 0 = -4*o - w*h - 9, -4*o + h + h = -26. Solve d + 3*v - 2 = -o*d, 3*d = -v + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01*-17.99\nAnswer: -0.1799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11291*h + 149968 = -107529 - 69942 for h.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -258, -3 in decreasing order.\nAnswer: 4, 3, -3, -258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (42 - -6)*1\/2. Let t = 15 - s. What is the tens digit of t + 5 + 3*11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215 = 5*t + 3*r, 4*t + r - 180 = -3*r. Let w = -278\/7 + t. What is the second biggest value in w, -2, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 3. Differentiate -4 + 8*v + 3 - f*v - 2 with respect to v.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-23 - -25 - (2 + -3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 324249, 648491, 972733?\nAnswer: 1296975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18866?\nAnswer: 2, 9433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 1546, -1\/9, -0.5, -58195 in decreasing order.\nAnswer: 1546, -1\/9, -0.2, -0.5, -58195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*q**3 - 2*q**3 + 5*q**3)*(2 - 4 + 1)*(3*q - 7*q + q) as u*q**2 + s*q + o*q**3 + z + x*q**4 and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6013 or 6012?\nAnswer: 6013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*t, 0 = 3*z - 2*t + 17 - 256. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -29*z + 1. Let h be r(1). Find the common denominator of 444\/(-45)*9\/(-8) and -1 + 33\/h*-2.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 3*t**3 + 0*t + 0 + 9\/2*t**4 + 3\/2*t**5 + 0*t**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350443700.\nAnswer: 2, 5, 3504437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 w when three letters picked without replacement from {w: 2, i: 5}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 23921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -13 - (2 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -4. Suppose 4*b + b = -4*x + 4, -2*x + 5*b + 2 = r. Let h = -0.19 - 0.01. Which is smaller: h or x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 12*t**2 - 39*t - 13. Let i be d(-6). Solve i*c - 5*f = -16 + 6, 0 = c - 5*f + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, -1\/109, 2\/9, 5, -4, -10 in increasing order.\nAnswer: -10, -4, -0.06, -1\/109, 2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 5) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 52, 49547, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*k + 2196 = -204*k for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 2\/11 (c) -1 (d) -767 (e) -5\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52 + (-4 - (43 + -11)) + -10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w + 8. Let m be h(-4). Suppose -v + m*v + 35 = 0. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.096 + -98.104. What is l rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-45)*-63*(-1360)\/(-28560)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**5 + 4*z**5 - 2*z**5 + (-59*z**3 + 43*z**3 - 30*z**3)*(2 - 2 - z**2).\nAnswer: 47*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 2. What is the greatest common divisor of s and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-14) - 30\/7. Is 1405\/45 + j\/18 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3926 = -32799. List the prime factors of r.\nAnswer: 5, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u - u + u + 2*u + u - 2*u + (0*u - 3*u + 2*u)*(2 - 6 + 3) + 0 - 3*u + 0.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 490?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 136 and 16.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -392*f**3 + 70*f**2 + 70*f - 70. Let c(i) = -17*i**3 + 3*i**2 + 3*i - 3. Give -70*c(k) + 3*q(k).\nAnswer: 14*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13028317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14883 by 123.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 30 + -30 + 11 + (-1 - 10) + 7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4853908, 9707738, 14561574, 19415416, 24269264, 29123118, 33976978?\nAnswer: 38830844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a**2 - 18*a - 31. Give t(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1331) + (sqrt(1331) + (sqrt(1331)*-2 - sqrt(1331)) - sqrt(1331)) + -3 + sqrt(1331)*2 + -3)*-1)**2 + 5.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1880292 divided by 1?\nAnswer: -1880292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4*g + 5346 = y, 5*g + 1086 = y. Does 11 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 15 = z + 4*g, z = g + 37. Suppose 5*m - 10 - z = 0. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -3. Let j = -1 - -1.1. Let g = 0.9 - 1. Which is the closest to -1\/4? (a) j (b) g (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70 + 78. Suppose 0 = -3*v + t + 1. Suppose -37 = -v*g - 25. Solve -5*a = 2*z + 14, -4*z = g*a + a + 18 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 299927 + -2819013877\/9399. Let t = -1099603\/187980 + a. Find the common denominator of 13\/14 and t.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lzllizzzllzc. What is prob of sequence ll?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s - 3. What is k(-4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -221011010 (base 3) in base 8?\nAnswer: -43640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/16 and 33\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 - -79. What are the prime factors of g?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -205347 - -205346.9566564. Let d = n + 0.0434. What is d rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*1 + (-2)\/(-1). Solve -4*l - 2*n = 4 - 24, -4*l = -k*n - 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.54 - -4.64. What is the nearest to z in -0.044, 2\/9, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 504023?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 - 3*s**2 + 11*s**2)*(-746*s - 1235 + 1235).\nAnswer: -7460*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13397 is divided by 87.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*g + 5984 - 5089 = 3128 for g.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 356 divided by 178\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 600949.3cm?\nAnswer: 6009493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 15*i + 12*i + 4 = 0, -4*g - 3*i + 34 = 0. Let z = 11 - 7. Suppose -z*y + 35 = y. Solve g = -2*w + y*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 527*f - 524*f + 12 = 0, -u = 5*f for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*r + 80. Calculate the greatest common factor of r and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3114 - -3551. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 757 - -1833. What is the greatest common factor of j and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59*z**4 - 16*z**2 - 1 + 2 + 111*z**4 - 54*z**4 to f*z**2 + j*z**3 + t + s*z + g*z**4 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -6*u + 5. Let c(s) = -s + 24. Is 6 a factor of c(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.098, 11, 0.6, 0.5, -0.2, 3\/8 in decreasing order.\nAnswer: 11, 0.6, 0.5, 3\/8, 0.098, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - o - 16 = -2*o, 0 = -3*z - o - 32. Which is the third biggest value? (a) 2\/7 (b) 0.2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 8*l - 20. Suppose -2*s - 5 = -7*s, 3*w - l*s + 10 = 0. 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 s(l) = -3*l + 21. Let j(g) = -g**2 - 13*g + 19. Let k be j(-14). Let q(p) = 3*p - 20. Let a(t) = k*s(t) + 4*q(t). Differentiate a(v) wrt v.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.7 - 8. Let y = -4.3 - r. Let z = 6 + -11. Which is the smallest value? (a) z (b) 0.4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qgqg. What is prob of picking 1 g and 2 q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(0*m**4 + 3*m**4 + 0*m**4) - 4*m**4 + 4*m**4 + 5*m**4.\nAnswer: -m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34694\/14805 - -3258863\/1018584. Let r = h - 107\/215. Let u = 1\/24 + r. Which is smaller: -15 or u?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 162\/5579321?\nAnswer: 162\/5579321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 146*m - 498*m + 326*m - 1 - 5*m**2 - 1 + 8. Give r(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -5 + 10 + (-1 - 7)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32856 is divided by 402?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 42773?\nAnswer: 4276b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a - 26*a + 10532 = 0. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55419 and 2064510?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 657363339 to the power of 1\/3, to the nearest integer?\nAnswer: 869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 157 and -68.\nAnswer: -10676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of 0 + 5\/6*f**4 + 0*f - 1\/42*f**7 + 15*f**2 + 0*f**5 + 0*f**3 - 1\/8*f**6. Factor n(u).\nAnswer: -5*u*(u - 1)*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 5820a?\nAnswer: 58208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -455*s = 241*s - 2255040. What is the highest common factor of s and 2520?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 - 43. Let z = 123 - 83. Let t be 4\/z*6*-5. Put y, 4, t in decreasing order.\nAnswer: 4, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/3 + (-780)\/(-2)*(-170)\/612.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2.8 * 132\nAnswer: 369.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.044, -39, -0.4, 3, -2, -80?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -262*d + 264*d for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b + 5*b + 20 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -14. Let k(d) = 2 - 1 - 5 - r*d - 5. Calculate k(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -cd19b8 (base 14) in base 4?\nAnswer: -122202232032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 101, 136, 189, 266, 373?\n\"Answer: x**3 + 3*x**2 + 19*x + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18 and 15.\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 845977797 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (23\/(-46))\/(2\/(-12)). Let h be (4 - (-1)\/1) + -16 + 13. Solve o*f = -h*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.8 + 0.8. Sort -0.1, t, 0.2 in decreasing order.\nAnswer: 0.2, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 159*m + m**2 - 419*m + 284*m - 114. Determine p(-28).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3589*1.\nAnswer: -3589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 59354953 and 57127?\nAnswer: 59354953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7920.43kg to tonnes.\nAnswer: 7.92043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -22 and -12 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1140845?\nAnswer: 5, 401, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjhzhz. Give prob of sequence jj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kgj when three letters picked without replacement from gtfbkgtfj?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, a: 1, p: 1, i: 5, t: 2, j: 1}. Give prob of sequence hj.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aqgqvgqaaqaaqaf. What is prob of sequence gf?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s = 10 + 38 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -90919, -89992, -89065?\n\"Answer: 927*k - 91846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 122 and 1586?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2659 - 250 = s, -2*w + 2*s + 954 = 0. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(0 + (-4)\/(-16)). Let a be -3 + (-2 - (-3 + l)). What are the prime factors of a*(-5)\/(10\/(-28))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 101 + -99. Suppose 39 = b*w - 113. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1595\/8 + -199. Are -1 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*h - g = -0*g - 1283, h = 2*h + 3*g + 3530 - 3529 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 3*g + g**2 - 1\/12*g**4 - 1\/6*g**3 + 0. Calculate f(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29 (base 15) to base 10.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 8*b - b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-21))\/(9\/((-6174)\/(-28))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10680280 divided by 494\nAnswer: 21620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jgjjgjg. What is prob of picking 3 j and 1 g?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 159*x + 71. Is a(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) 22 (b) 2\/7 (c) -5 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -11*r**2 - 9*r + 11. Let p(b) = -31*b**2 - 27*b + 32. Determine 6*p(a) - 17*w(a).\nAnswer: a**2 - 9*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/21))**(-11\/5) assuming d is positive.\nAnswer: d**(22\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/5 in -3, 1497, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 20. Suppose -5*a + 20 = 5*z, 3*z = 5*z + a - 13. Suppose y = f + z. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191*n + 187*n = -2328. Is n even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 784 and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + g + 237 = 0, -1 = -g - 6. Calculate the remainder when i is divided by (-28)\/(-7) + 10 - 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 2, -162, -8 in decreasing order.\nAnswer: 22, 2, -8, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/4, -5, -2, 0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-5 - 2) + -73 + 64.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -191 in -1\/6, 4\/389, -0.5, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33663652.\nAnswer: 2, 11, 6323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 19772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -w - 7. Let b(u) = u**2 - 8*u + 2. Let p be b(w). Let t(h) = h - 5. Let q(l) = l - 2. Let y(r) = -2*q(r) + t(r). Give y(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -3, 17, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1358*w + 4635*w - 1007*w.\nAnswer: 4986*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 35 = 6*p. Is p <= 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*y + 5 = 0, -3*d + 0*y - 13 = 5*y. Sort 2, -4, d in ascending order.\nAnswer: -4, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4411627511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 309*s + 1649. Is 5 a factor of o(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119081988 to the power of 1\/2, to the nearest integer?\nAnswer: 10912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -75*y**2 - 56*y. Let c(h) = -73*h**2 - 55*h. Let l(a) = 4*c(a) - 3*k(a). What is the second derivative of l(g) wrt g?\nAnswer: -134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of c**3\/6 - c**2 + 4*c. Let o(r) = 2. Let a be (238 - 237)\/(2\/6). What is a*o(s) + 2*n(s)?\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of l**7\/42 - l**6\/8 + 5*l**4\/6 - 9*l**2 - 51*l. Factor f(n).\nAnswer: 5*n*(n - 2)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -32037, -31941, -31831, -31701, -31545, -31357, -31131?\n\"Answer: i**3 + i**2 + 86*i - 32125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**2 - 1240807152*t + 96225149278396944 = 0. Calculate t.\nAnswer: 155100894","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 10}. Give prob of sequence vv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -o**7\/945 + o**6\/180 + o**5\/30 + 5*o**4\/108 - 195*o**2. Factor j(v).\nAnswer: -2*v*(v - 5)*(v + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**2 + 43*v - 6. Calculate y(21).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/8)\/(-3*3\/36). Sort x, 47, -4 in increasing order.\nAnswer: -4, x, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -7*j + 30 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98 + (1 - ((-1 - -5) + -2)) - (16 + -21).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*3\/60*12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13574547139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/4*98*76\/532?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 8*v**2 + 6*v - 4. Let w be a(-7). Suppose 0 = 2*h + w*h - 40. Let t = h + -8. Solve t = o - 3 - 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90211817191 - 90211817191 + 4*b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*s + 152*s = -749. Let w(j) = -2*j - 10. Calculate w(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppzqpqqpp. Give prob of picking 1 q and 2 p.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -2. Let o = 2 - l. Suppose -y - p = -77, -2*y + 0*p - p + 151 = o. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 551062442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 112111 (base 5) in base 14?\nAnswer: 167d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (60 - 68) + 188\/20 - 116\/90?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + (5 - -11 - 5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -417*w = 417*w - 890*w - 1680 for w.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -5 - 17 - (9 + 11).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 21 - 3*q**2 + q)*(5646 + 631 - 2268).\nAnswer: -12027*q**2 + 4009*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -2*w**3 + 25*w**2 + w + 82. What is the second derivative of i(l) wrt l?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -18. Let k be (-2)\/(-1) + 60\/27 + -4. Which is the third smallest value? (a) k (b) 0.5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 + 0.3. Let a = -5.1 - -5.6. What is the third smallest value in b, -2\/11, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 0)*(3*c - 4*c + 0*c) + (-2 - 2 + 3)*(2 - 2 - c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1011, 2028, 3017, 3966, 4863?\nAnswer: 5696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -6. Find the second derivative of -k*g**3 + 4 + 0*g**3 - 4 - 5*g wrt g.\nAnswer: -36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o + 14*o**4 - 3 + 593*o**2 - 291*o**2 - 302*o**2 to the form u*o**2 + p + v*o + f*o**3 + i*o**4 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**4*f\/(f\/(f\/(f**(1\/6)\/f))))**(1\/22) assuming f is positive.\nAnswer: f**(35\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 212 - 106. Let r = 218 - v. Calculate the greatest common factor of 7 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.979 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**4 + k**4 - 5*k**4 + (0*k - k**3 + 0*k)*(2*k - 5*k + k) + (-k + 2*k - 2*k)*(0*k**3 + k**3 + 2*k**3) - 3*k**4 - k**4 + 6*k**4.\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 k, and 1 n when four letters picked without replacement from {n: 5, j: 1, d: 4, a: 1, k: 3, w: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*c - 164*c + 595 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2195958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (127*q - 41*q + 77*q)*((-1 + 0 + 3)*(-4 + 2 + 0) + 4 - 3 - 3).\nAnswer: -978*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7780433 and 4196?\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -651 - -11?\nAnswer: -640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39 - -34. Let i = 0.4 + -0.3. Let j be (((-4)\/2)\/(-8))\/(53 + -52). Which is the closest to 1? (a) j (b) s (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4)*q*q*(q**(-6\/7)\/q)\/q*q**(2\/7)\/q**12)**36 assuming q is positive.\nAnswer: q**(-4176\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 101*p**2 - 31*p - 101. Is d(-21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 17 and 0.39.\nAnswer: 17.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 27011669239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -31000000 rounded to the nearest one million?\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000373238 rounded to 6 decimal places?\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2541 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -8) + 0 + 8 - (1 + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1458566467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3678 - 3596. Solve -2*g - 78 + j = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 104 + -103.99924. What is k rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + 8656\nAnswer: 8656.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7103, -28501, -64365, -114863, -180163?\n\"Answer: -28*p**3 - 7065*p**2 - 7*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -112011111200 (base 3) to base 6\nAnswer: -5550543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1124564 is divided by 20081.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (-851)\/(-115))\/((-15)\/2625)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-7)\/2)\/((-2)\/4). Let s(p) = -p**3 - 11*p**2 + 9*p - 2. Let m be s(z). Let i = m - -1152. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7 + -1)*2\/(-6). Let h be ((-12)\/g - 1)*17305. Suppose 0 = -5*q + 5*b - h, -q - 10593 = 2*b + 6697. Round q to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s - 5. Let i be g(-3). Let n be 8*(-1)\/i*-3. Solve 5*h = n*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 305 = 2*i - 3*f, -3*i - 5*f = -887. Suppose -5*y + 86 + i = 0. Let p = y + -40. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + -1 - 104568)*-1. Suppose 19*u - 52846 = j. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234 = -132*o + 119*o. Calculate the remainder when 69 is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 6321 = 9*m. Let r be (m\/105)\/((2\/(-5))\/(-2)). Suppose 11*q - r = 67. What is q rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 664, 2, -6\/4019, 1.\nAnswer: -6\/4019, 1, 2, 664","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21805155443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142 + 14*n**3 - 74*n**3 - 146.\nAnswer: -60*n**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*a + 497 - 4209 = 0, -5*b = -5*a - 3720. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -51, -130, -241?\nAnswer: -384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1098)\/610)\/((-2)\/10).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*p**2 - 25*p**2 + 4 + 2*p**2 wrt p?\nAnswer: -42*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 10589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 8 + 28. Let o(a) = -a**3 + 4*a**2 - 6. Let u be o(3). Suppose -2*b - f = u*b. Sort b, -2, -5 in ascending order.\nAnswer: -5, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/6*(-570)\/(-684) + 8\/(-18). Let i = 4 + -2. What is the nearest to -1 in i, -3, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 1909*s - 96. Is v(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7b4 - -4?\nAnswer: 7b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/2*69\/6. Suppose -v - 3*f + 7 = 20, 0 = v + 5*f + j. What is the second derivative of 2*x + 3*x**v - 23*x**5 - 2*x**2 - x**2 wrt x?\nAnswer: -460*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 291 - 79. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*w + 204342 = 2134706. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 72 (b) 2 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -5*g**3 - 2*g. Determine n(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 10 + 2 + (0 - 1 - 1)*(2 + 0 + 1) + 1 - 3 + 0)*((0 + 1 + 0)*(-2*r - 2 + 2) - 5*r - 6*r + 3*r).\nAnswer: -100*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 179, 187235, 5, 14 in decreasing order.\nAnswer: 187235, 179, 14, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cjvc when four letters picked without replacement from {c: 2, e: 3, v: 6, j: 1}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -4. Suppose 0*o - 10 = -b*o. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(-45)*155\/(-62))\/((66\/378)\/11)?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 1786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-seven fifths of a gram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and 716.\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -849\/4 + 208. Let m = r + 53\/12. Let x = -0.4 - -0.4. Which is the closest to x? (a) m (b) 1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13.29629 + -13.29. Round q to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -4*l - h + 427, 0 = -4*h - 20. Let t = 22 + -10. What is the highest common divisor of l and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-126))\/(15\/18)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -1 - (-26 - (-1 + -27) - (79 - 15))\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 554, 742, 1040, 1502, 2182?\nAnswer: 3134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j = 5*j - 42 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55368*o = -55367*o - 3*i - 45, 5*i = -2*o + 46 for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 949668, 949672, 949676?\nAnswer: 949680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0 + 3 = 5*r, 5*r = -2*f + 9. Suppose -4 = -3*s + f*x, -5*s + 5*x = -10 - 0. Is 1\/(4\/(-953))*(s - 4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 21694, 86776, 195246, 347104?\n\"Answer: 21694*g**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fyyn when four letters picked without replacement from noyoofoofoooonyyyoo.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 6594?\nAnswer: 6594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -124553\/27 - -4615. What is the common denominator of m and -37\/207?\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2139 - -2139. Let s(p) be the third derivative of -p**2 + 0*p + 0*p**3 + 1\/10*p**5 + 1\/40*p**6 - 3\/8*p**4 + n. Suppose s(t) = 0. What is t?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 3 - 75*y**3 + 14358*y**2 - 14356*y**2 to the form o + g*y + h*y**2 + x*y**3 and give x.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 232163\nAnswer: -1160815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 13 = 12*l. Which is smaller: l or -1\/124?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*r - 5*r - 19*r**3 - 4*r.\nAnswer: -19*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -72*o**2*p**2 - 1030*o**2*p*q + 2*o**2*p + 2*o**2*q + 2*o**2 - 4022*o*p**2*q + 4*o*q + 3*p**2*q wrt p?\nAnswer: -144*o**2 - 8044*o*q + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 1. Let o = 3335\/8 - 417. Which is the third biggest value? (a) k (b) -0.5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 634 - 440. Let i = 337 - f. Calculate the greatest common divisor of 39 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 9:46 PM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -1\/8*v**5 - 9\/2*v**4 - 17\/2*v**3 + 1\/4*v**2 + 17\/4 + 69\/8*v = 0.\nAnswer: -34, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73592.49 hours to microseconds.\nAnswer: 264932964000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 2:54 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of ((-33)\/(-55))\/(2 - 114933\/57470)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/100 and 39\/1280.\nAnswer: 6400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 0.9309.\nAnswer: -1.3309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) -4 (b) -8555 (c) 1 (d) 3 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 - 0.26. Let h = o - 0.1. Let u = h - 0.24. Which is the smallest value? (a) -2\/5 (b) u (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*c - 24 = 32. Suppose k - 56 = -3*k - 3*b, -c*b + 42 = 3*k. Solve -4*l - k = -6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5 = 4. Let w be (-12 + -1)*v + -2. Calculate the highest common divisor of 77 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -168\/209 - -27895\/3762. Find the common denominator of -85\/402 and i.\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vl when two letters picked without replacement from {l: 1, v: 7}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 7. Suppose s + 0*s = l. Calculate the remainder when 6 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 673498.\nAnswer: 2, 7, 73, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/9)*x\/(x*x**1)*(x\/((x\/(x*x*x**(2\/5)))\/x))**(-13) assuming x is positive.\nAnswer: x**(-2024\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4877070440?\nAnswer: 2, 5, 11, 11084251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1212 + -1182. Which is the smallest value? (a) w (b) 1\/17 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2037*x - 67*x + 811*x + 42*x - 2253*x.\nAnswer: -3504*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8554 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14445609*l - 761 - 447 - 14445610*l)*(2 - 2 - l) to the form f*l**2 + z + m*l and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -58694962780 rounded to the nearest one million?\nAnswer: -58695000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -317.224119 + 0.5\nAnswer: -316.724119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 566 - 566. Solve 0*x - 13*x + 39 = j for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 2*c + 30 = 0, -5*h + 365 = 62*h + h - 5*c for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-86)\/(-18) + (-4)\/(-18). Let i(n) = n**2 - 9*n - 19. Let l be i(11). Suppose -3*f + m*c + 44 = -f, 0 = 2*f + l*c - 44. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 15*h**2 + 33*h - 19. What is the lowest common multiple of l(13) and 120?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*j + 4. Let p(a) = a**3 - 7*a**2 - 19*a + 11. Suppose z = 4*l + 5*z - 36, -9 = -l - 4*z. Let y be p(l). Solve 0*c - j = -y*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*u - 210 = 1998 for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/5))**(-8)\/((p**(4\/15)*p)\/(((p\/(p*p**12))\/p)\/p)) assuming p is positive.\nAnswer: p**(-41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 3 = -2*a - 2*h, -19*h - 6 = 2*a - 18*h - 18 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or 1467\/169?\nAnswer: 1467\/169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 47746.23 litres?\nAnswer: 47746230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 4, -3, 1\/3, 390, 1\/8 in descending order.\nAnswer: 390, 4, 1\/3, 1\/8, -2\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*r + 1281 = 9*r + 10*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*a = -49*a + 14700000. Round a to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625899 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 8, p: 11, x: 1}. What is prob of sequence qx?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7722 = 1207*k - 608 + 33924 for k.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*f**3 + 1 - 17*f**3 - 13*f**3 + 4*f**2 to g*f**2 + p*f + t*f**3 + m and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -16, 17, -4, 4 in decreasing order.\nAnswer: 17, 4, 0, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*w - 184546 + 191006 = 0 for w.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/93 and -37\/45?\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 8) in base 16?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.08 (b) -1708 (c) 3\/7 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 156, 306, 456, 606, 756?\n\"Answer: 150*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 less than -13\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44 + 45. Solve q + i = 4 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 150*s + 1193. Let h be p(-11). Does h = -449?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107117 = 392*t - 105941 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 116*w**2 - 830*w + 3694. Give y(-108).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -70\/39 and 67\/12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/18 and -7\/40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 != 2294\/107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2937*d*h**2 + 16360*d*h - 208724037*d + 2*h**2 wrt h.\nAnswer: -5874*d*h + 16360*d + 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 4 + 3 + 36\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 5*r**2 - 4. Suppose -5*q + 0*q + 2*f = -28, 0 = 2*q - f - 12. Suppose q = -0*n + n. What is z(n)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18567726*t**3 - 26443699*t**2.\nAnswer: 111406356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15825 and 56385?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 79441986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2411 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-70)\/12 + (0 - 1\/6). Let w(p) = -2*p**2 - 9*p - 1. Determine w(m).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 18. Let q = -143\/2 - -69. What is the fourth biggest value in 1, u, -2\/5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 29*w**2 + 8 + 87*w - 27*w**2 - 110*w. Is 3 a factor of l(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 3*o**5\/4 - 7705*o**4\/4 - 28329*o**3\/4 + 95193*o**2\/4 - 37297*o\/2 + 3858 = 0.\nAnswer: -6, 1\/3, 1, 2572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 316361053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.335732 milliseconds?\nAnswer: 0.000335732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25248087, 25248084, 25248081, 25248078?\nAnswer: 25248075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13186478*b**4 + 3927800 wrt b?\nAnswer: -52745912*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 587.66206 - 411.662137. Let f = 179.38 + -3.38. Let w = v - f. What is w rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -20*x - 6. Let a(u) = -26*u - 8. Let o(n) = -3*a(n) + 4*s(n). Let l(m) be the third derivative of -7*m**5\/60 - m**2. Calculate o(l(j)).\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2.93, 2\/31, -4?\nAnswer: -2.93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**2\/2 + 1378389*i\/2 + 1378391 = 0.\nAnswer: -2, 1378391","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 55049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccpc. What is prob of picking 1 c and 1 p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1242999?\nAnswer: 3, 19, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**4 + n**3 + n**4 + 10 - 2*n - 335*n**2 + 333*n**2 to the form v*n**3 + y + q*n**2 + r*n + t*n**4 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 5*z**2 - 6*z + 4. Let y = 60 + -66. Determine n(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nwnw when four letters picked without replacement from {w: 2, b: 13, l: 2, n: 2}.\nAnswer: 1\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**2\/9 + 361498*m\/9 + 361492\/3 = 0. What is m?\nAnswer: -180746, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dfkkdmffdkaffd. What is prob of picking 2 d and 1 a?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 10)*1 + (-165)\/(-35)*56\/(-24).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -90771092\nAnswer: 181542184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 b, 1 c, and 1 w when four letters picked without replacement from {l: 1, b: 1, w: 1, c: 4, f: 5, r: 5}.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34704 and 18432.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 990605\/54 + -18346. What is the common denominator of (-2)\/(-1) + 1645\/(-294) and k?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 5*j**2 - 9*j - 18. Let w be t(-5). Let l(a) = 27 - a**2 + w - 54. Let o(s) = 6*s - 1. Give o(l(v)).\nAnswer: -6*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/176 and -137\/29172?\nAnswer: 116688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(4 + 190\/(-45)). Let u = -8 - z. Let p(n) = -n**2 - 2*n + 1. Give p(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28.7 - 29. Which is the closest to 0.2? (a) 0 (b) p (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, w: 6, y: 2, h: 4}. Give prob of sequence whhv.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4*g**3 - 3*g**2 + g + 1. What is z(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 3, 4, 134, -5, -3 in descending order.\nAnswer: 134, 17, 4, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - o + 5 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7463 + -7460. What is t in 8\/5 + 2\/5*t**n + 4\/5*t**2 - 14\/5*t = 0?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/(-4))\/(1\/8). Let z(b) = 150002*b + 20. Let q be z(r). Round q to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1717229251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 6*c - 4. Let u be d(-5). Let h = 516 - 513. What is the units digit of u + 156*(4 - h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -319700214 divided by -6\nAnswer: 53283369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 4200 in ascending order.\nAnswer: 1, 4, 4200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 21*y**2 - 12*y - 42. Let t be k(20). Suppose 0 = -t*u + 113*u + 25. Calculate the remainder when 17 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*y, -r - 4*y = 2*r + 16. Put 4, -1, r, -5 in increasing order.\nAnswer: -5, -1, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*l + p, -3 = l - 3*p - 0*p. Suppose -k - 8 = -5*k. Suppose 3*v - 9 = -w - k*w, l = -2*w - 4*v + 12. Let m(s) = s**2 - 5. What is m(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y - 4. Suppose -22*l + 29*l - 1393 = 0. Let r = l + -190. What is z(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 10*w - 41. Let c be p(-13). Let i be (-8 - c) + (8 - 2). Solve -2*g + 20 = 4*m, m + 4*g - 3*g - 6 = i for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 5*g - 29, -124*v + 121*v = -9. Solve -5*f + 4*p + 11 = 0, -8*p + 16 = -g*f - 11*p for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2. Let k = -872 + 872. Let z(b) be the first derivative of 0*b + 5\/3*b**3 - 8 + k*b**2. What is v(z(u))?\nAnswer: 50*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 113.5538 + 0.4462. Is 1.2 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -19*i**3 + i - 9. Let x = 16 - 20. Let g(f) = -9*f**3 + f - 4. Let v(d) = x*h(d) + 9*g(d). Suppose v(z) = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2 + 5*g - 26. What is x(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**2\/6 + 5288593*s\/3 - 27969215919649\/6 = 0. Calculate s.\nAnswer: 5288593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 15. Calculate the remainder when 25 is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000001010 (base 2) to base 14\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (78650\/(-858))\/((-20)\/12).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -214 - -224. What is the greatest common factor of x and 230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59975393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 93907 and 146042459.\nAnswer: 1606467049","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 times -1650\nAnswer: -990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2126, -4227, -6300, -8333, -10314?\nAnswer: -12231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 12:06 PM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 - -7)\/(15\/12 - 1). Find the second derivative of 0*u**2 + 0*u**2 + 40*u**n - 56*u + 13*u**4 - u**2 wrt u.\nAnswer: 636*u**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*b**3 - 947*b - 12100 wrt b.\nAnswer: 6*b**2 - 947","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38379196, -38379199, -38379204, -38379211?\nAnswer: -38379220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - (-8 - -27)) + -2 + -7.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b - 98ba449?\nAnswer: -98ba458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -3. Suppose f - r*w + 8 = 0, 3*f = f + 2*w. Suppose 0*j - 4*j = f*b - 124, -4*j = -5*b - 160. List the prime factors of j.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/450 + (-96)\/3700.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.9650851 weeks?\nAnswer: 583683468.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -a**5\/12 + a**2. Let q(n) = 5*n**2. What is q(d(f))?\nAnswer: 125*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 38*j + 1. Let s be o(-2). Let d = 127 + s. Let p = -22 + d. Does 17 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -7*z + 7. Let y be u(-5). Suppose 5*o = 17 + 18. Suppose 0 = 4*d - 3*h - 97 + o, 36 = 2*d + 3*h. What is the highest common divisor of y and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 7:47 PM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 322 = -2*c, 4*c = -s + 252 + 396. Suppose 0*h + c = h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4 + 2. Solve 6*y - 2*y + t*p = -4, 3*y + p = -1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*o = -25 - 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 1881*n + 258. What are the prime factors of u(5)?\nAnswer: 3, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 4*v + 4. Let l be q(3). Suppose -l*f - 805 = -12*f. What are the prime factors of f?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 4*i - 26, 2*m - 9 = -m. Calculate the least common multiple of i and 4\/(-5)*(-575)\/230.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2057 + -19?\nAnswer: -2072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-95 - -95)\/(-1 - 0). Suppose x = f + 3*g - 75, -g + 249 = 3*f - 0*g. Calculate the greatest common factor of 63 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 176.767974ms?\nAnswer: 0.000002045925625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 - ((-12828)\/(-1272) + (-1 - 4)). Is m less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82663788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = q + 18 - 3, -5*q = 0. Let p = -11 + n. Let d be 0\/((-4)\/(p\/2)). Is -2\/3 >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 59*q + 143. What is the hundreds digit of w(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*x + 127*x + 119*x - 248*x + 10 - 127*x.\nAnswer: -x + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 + -24. Suppose 2*m = -w*m + 6. Suppose 2*t = 3*g + 191, -m*g = -4*t - 8*g + 437. List the prime factors of t.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2645934 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 5:41 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.27? (a) -2 (b) -22\/9 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2228.735 to the nearest ten.\nAnswer: -2230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18752\/((-36)\/9) + 6. Let n = -3286 - f. What are the prime factors of n?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1\/2)*x*x**(1\/17))\/(x*(x**2\/x*x)\/x)**(-40)*((x**(-3\/2))**(-2\/63))**32 assuming x is positive.\nAnswer: x**(59321\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 236 divided by 119\nAnswer: 236\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -14*j - 13. Let p be r(-6). Let k = p + -36. Suppose 5*q - 26 = 3*s + 11, 0 = 2*s + 8. Calculate the greatest common factor of k and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 166, 216, 266, 316, 366, 416?\nAnswer: 466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - q = q + 12, -10 = 4*w + 3*q for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 279 + -278. Let h = -29 - -21. Let y(r) = -r**2 - 10*r - 11. Let s be y(h). Put n, s, 14 in descending order.\nAnswer: 14, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -30, -73, -134, -213, -310?\nAnswer: -425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 962\/(-14) - 10\/35. What is the remainder when (5\/(-15))\/(1\/g) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 213961 and 9911.\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 823939, 6591591, 22246653, 52732831, 102993831, 177973359, 282615121?\n\"Answer: 823951*s**3 - s**2 - 2*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**2 + 0*g**2 - g**3 + 2*g**3 + 1 + 2*g. Let l be m(2). Suppose 2 = l*t - 38. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-2)*10*(-7)\/196.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3774042*w**4 - 2926497*w?\nAnswer: 45288504*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1700) + 1)*-1 + (-2*sqrt(1700)*-6)**2 + -4 + (sqrt(1700)*1 + sqrt(1700))**2.\nAnswer: 20*sqrt(17) + 251595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2. Let u be (-6 - -6)*(0 + 1). Let o(n) be the first derivative of u*n**2 + 0*n - 1 + 2\/3*n**3. What is o(j(d))?\nAnswer: 2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 34) + (17 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (78\/4)\/(9\/42). Suppose b - 1 = 3. Let l = g + b. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -24\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -98.4 + -841.6. Let j = 944.89 + m. Let z = -0.11 - j. What is the second smallest value in z, 0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 305 - 306. Let z(l) = -l - 1. Let x(j) = -j. Give v*z(a) + 2*x(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1582 is divided by (-7 - (8 + -13))*(-48)\/6.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 131 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 3*r**2 + 2. Let j(x) = -2*x**3 - 4*x**2 + x - 3. Let o(k) = -3*c(k) - 2*j(k). Give o(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*g**3 - 3*g + 20*g**3 + 5*g + (-g + 1 - 1)*(23*g**2 + 21 - 21).\nAnswer: -28*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -560 + -1106832?\nAnswer: -1107502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 9 + 6 = 0, -3*k = s + 30. Let g = -6 - s. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -1\/2 (c) -943\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 560*b + 234*b - 2382 = 0. Let i(f) be the first derivative of 25\/2*f**2 - 41 + 6*f**4 + 0*f**b + 0*f. What is the second derivative of i(z) wrt z?\nAnswer: 144*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 1.1, 0, -2?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1\/n)**39\/((n*n\/n**2*n)\/n**(-2\/13)))**46 assuming n is positive.\nAnswer: n**(-690\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*5\/(-75) - 60\/18.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -45) + (59\/5 + -11)\/(4\/(-10))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ibbhbhagbiihbiihbbh. What is prob of picking 2 b and 1 i?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -8*b + 1. Let u be l(3). Let q = u - -25. Find the third derivative of v**2 - 5*v**4 + 3*v**2 + 6*v**q - 2*v**2 wrt v.\nAnswer: -120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-536)\/50 - (49 + 0 + -14896 + 14859)\nAnswer: -7\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 6*t - 10*t. Let r be 0\/(-2 + -2 - t). Suppose l - 65 = -m + 58, 2*m + 3*l - 244 = r. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.5 + 0.5. Let a = f - 8.99966. What is a rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6395)\/25)\/((-2)\/10). Suppose -d - 1121 = 3*z. Round z to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8239 + 8247. Solve -j*b + 4*b = -4*s - 40, b + s = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 407644388.\nAnswer: 2, 101911097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-54))\/((-5)\/15).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -11, 7, 55, 145, 289, 499?\nAnswer: 787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17768 and 22.\nAnswer: 195448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -7. Let f(z) = 7*z. Give f(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106813 divided by 15259.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 4*c + 4*l, 18*c - 13*c + 4*l + 41 = 0. Let t(m) = m**3 + 5*m**2 + 4*m + 6. What is t(c)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/2*3*(-6)\/180?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1760134*y*z - 2*z - 766664 wrt y.\nAnswer: -1760134*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y. Let d be z(-9). Let b = d - 13. What is the greatest common factor of 45 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1708 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 68 = -218. Let a(u) = -4*u + 6. Let j be a(-14). Let x = j + c. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**3 + 946823*b**2 + 7472683*b wrt b?\nAnswer: -12*b + 1893646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1630\/3 - -607. Let v = -63 + z. Factor 0 - v*m - 2\/3*m**2.\nAnswer: -2*m*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 623929572 - 878580426. Let f = r + 254650840.0000037. Let o = f - -14. Round o to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 23*a + 16. Let x be m(-2). What is the common denominator of 132\/x + 4 - (-217)\/(-45) and 23\/5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*f - 4*a + 23, 3*f - 4*a - 7 = 0. Solve 3*g - 3 = -3*v + 21, 0 = 2*g - f*v + 19 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6678 and 3551?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 3*r - 7*r + 16, 2*r = -4. Suppose v*h - 7*h - 2065 = 0. What is the remainder when h is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*o + 1531 = -245. Suppose -w - 188 = -5*w. What is the remainder when w is divided by o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-2320)\/(-105) - 664\/6972.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -1. Is d greater than -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 171 = 4*a + 176 - 541 + 141, -3*p - 39 = -2*a for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 437314446?\nAnswer: 2, 3, 41, 101, 5867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -12, 228*h = 254*h + 5*b - 145 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.181 times 95\nAnswer: 17.195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.82 - -5.67. Let r = -2.85 + d. What is the fourth smallest value in 4\/5, 24, 5, r?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 v when two letters picked without replacement from vtvyxt?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48944374*n**3 + n - 16731298 wrt n.\nAnswer: -293666244*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*h + 15*h + 255*h**2 - 254*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2 - 12*g + 12*g. Let b be u(-1). Suppose 0 = p - 2*f - 20, 0 = -p + b*f + f + 23. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbr when three letters picked without replacement from {r: 2, b: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**5\/70 - 37*a**4\/42 + 10*a**3\/3 - 5262*a. Factor x(w).\nAnswer: 2*w*(w - 35)*(w - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 - 152 = -11*q. Suppose 0*d - 10 = -5*d. Let g be q + (d - 120\/21). Which is the nearest to -0.1? (a) 1\/11 (b) g (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-2 + 1 + 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8124583 - -1?\nAnswer: 8124584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -5, 8.\nAnswer: -5, -3, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**20\/s**(-27)*s**(2\/79)*s*s*s**(-1\/9) assuming s is positive.\nAnswer: s**(34778\/711)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 236, 947, 2132, 3791, 5924?\nAnswer: 8531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 286115 by 286115.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6371466?\nAnswer: 2, 3, 1061911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*s - 157 = -127 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -5*g**2 + 1824*g + 11106. Determine v(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k + 1. Let j(a) = 2*a**2 - a - 3. Determine 2*h(p) - j(p).\nAnswer: -2*p**2 + 3*p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqaqagqqnap. What is prob of picking 1 n and 1 q?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.056 - -0.102. Let l = f - 5.046. Which is the second smallest value? (a) -7 (b) 2\/11 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 60\/19, -1\/5, 0, -0.3, 12528 in increasing order.\nAnswer: -0.3, -1\/5, 0, 60\/19, 12528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 + (55 - 133) - ((1 - 6) + 19)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 151 = 3*k, 7*u - 2*u = 4*k + 148. Let b be 40\/12*(-84)\/(-35). Calculate the greatest common factor of u and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-816 - -14)*(-10)\/28. Let p = c + -286. Sort p, -26, -5.\nAnswer: -26, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 8:25 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 + 42. Suppose -f*g + 98 = -58. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -5*x - 75. Let k be b(0). Let u = k + 79. Let t be (-3)\/14 + 2\/u. What is the nearest to -9 in 3, t, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + 1201591846715.\nAnswer: 1201591846715.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2495*v**4 - 34*v + 10 wrt v?\nAnswer: -29940*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = 11*p - 214. List the prime factors of p.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/10668679 or 0?\nAnswer: 1\/10668679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6783\/103 - -47172\/721. Let m = -90 - -1168\/13. What is the closest to 0.9 in v, m, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -869*m. Let y(h) = h**2 + 40. What is p(y(z))?\nAnswer: -869*z**2 - 34760","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64117 and 1843.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-35) - (-2828)\/(-8869). Let b = 8239738540\/474463083 - -30\/873781. Let k = b + w. Which is bigger: 17 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83243 < 78451?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/((-14)\/(-8) + (-39)\/52). Solve x = -2*h - 3*w + w, -2*h - w - 1 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.14441467 - -5.\nAnswer: 4.85558533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**4\/4 - 18059*z**3\/4 + 15529933*z**2\/4 - 3445724445*z\/4 + 5098945725\/2 = 0.\nAnswer: 3, 445, 17166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22 + -4?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7141 and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 475.33416 hours to weeks.\nAnswer: 2.82937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 28.324*0.106\nAnswer: 3.002344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1202220120 + 10010?\nAnswer: -1202210110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2922612257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -0.1, 2, 3\/4, 0.16, 15 in decreasing order.\nAnswer: 15, 2, 3\/2, 3\/4, 0.16, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 2916.\nAnswer: 1\/729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g + 3*g - 65 = 0. Let h = g + 15. Calculate the highest common factor of h and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 5*j - 1445. Let r(l) = -6*l + 1461. Calculate -4*q(i) - 3*r(i).\nAnswer: -2*i + 1397","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -258, -857, -2050, -4041, -7034?\nAnswer: -11233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**2)**(3\/38)*y**(-3\/4)*y*y*y*y**(-5\/2)\/y*y*y*(y\/(y\/y**(-1\/4)*y)*y*y)**(-4\/19)*y**4*y\/(y**(-8)\/y) assuming y is positive.\nAnswer: y**(59\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2430)\/(-126) - 24 - (-10)\/2. Are 0.476 and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3240 and 38394?\nAnswer: 767880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*j - 10*j - 453. List the prime factors of j.\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 442739111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 94 = -3*c - 506, 4*y + c = -480. Let j = y + 129. Which is smaller: 6 or j?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - 11. Let s = m - -17. Let h = s + 7.00048. Round h to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88051 is divided by 276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 42 - 21. Let j(t) = -12*t**2 - 3*t + 4. Let b(l) = -23*l**2 - 6*l + 9. Let f(a) = p*b(a) - 7*j(a). What is the second derivative of f(u) wrt u?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k - 4*k + 4*k)*(7*k - 2*k - 3*k) - 2*k**2 - k**2 + 0*k**2 + (2*k + k - 4*k)*(3 - k - 3) - k**2 + 6*k**2 - 2*k**2 to p*k**2 + z + t*k and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3.17 * -1217\nAnswer: 3857.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5*l**2 - 10*l - 30. Let o be h(6). Let u = o - 82. What is the nearest to -1\/3 in u, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2039663 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b**2 + 8*b + 21. Let i be h(-3). Solve 15*p = 26*p + i for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -5. Suppose r + k*r = 15. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-72)\/(-27) - 1\/(-3). Suppose -18 = -n + w*h, 4*h = -3*n + 37 + 4. Let p = -52 + n. Calculate the common denominator of p and 5\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1818 or -19024?\nAnswer: -19024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -21. Let r(y) = 2*y**2 + 18*y. Let k(d) = 2*d. Let n = -557 - -555. Determine n*r(h) + q*k(h).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + -14. Let b = -8 - o. Let q = 28 + -17. Calculate the remainder when q is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06182 to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 2*l + 4, 5 + 3 = 3*l - 5*j for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130 - -212111?\nAnswer: 212301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 20*n - 82. Let w be j(5). Let q = 0 - -42. Suppose 2*x - q = -w. Calculate the highest common factor of 12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -1 - 2 - p**2 - 5*p + 7 - 2*p. Let k be s(-7). Solve 6 = -2*v - 4, 2*y + k*v + 18 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 26*l + 409. Suppose 4*k = -2 - 10, -2*k = 4*h + 66. Calculate the remainder when 739 is divided by u(h).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/495*15*6*(-152)\/16.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 329151436 a multiple of 3082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 5 - 2. Let o be ((-12)\/4)\/(9\/(-12)). Suppose -o*b + 2*h = 24, -b + g*b + 16 = 3*h. Sort 5, -2, b in decreasing order.\nAnswer: 5, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/26*(-3)\/(108\/(-24)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -388 = 11*c - 108*c. Let i = -16 + 5. Let m = -6 - i. Solve -c*y = m*t + 33, -2*t - 21 = 3*t - 2*y for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13\/((-260)\/(-126)))\/(1101\/1835)\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1007?\nAnswer: 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05868 to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**18*(x*x*x**16)\/x*x assuming x is positive.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 10*a**2 + 9*a + 3. Let h be k(-9). Suppose -6*n = -4*n - h*j - 139, 0 = 3*n + 4*j - 200. Is 17 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-546)*(184\/8)\/(-23)?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 53 + 13)*(22 - 42 + 44 + 130)*(2*x - x - 2*x).\nAnswer: 7392*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 96*w - 2211. What is o(39)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174393 - 408*a - a**2 + 174393.\nAnswer: -a**2 - 408*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + ((-21)\/(-9) - 2))*3. Calculate the highest common divisor of 91 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4325 by 1331.\nAnswer: 4325\/1331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m + 0*m + m + 7 - 9. Calculate o(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2022 (base 3) in base 6?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25580.\nAnswer: 2, 5, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -6. Let r = 9594 + -9593.7. Sort g, 10, r in ascending order.\nAnswer: g, r, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 2*r + 126, 4*j - 3*r + 87 = -0*r. Let d(x) = 49*x**2 + x. Let m be d(1). Let o = m + j. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-22)*(320\/(-12))\/10.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 60*c - 14. Let j(r) = 20*r - 5. What is 11*j(m) - 4*s(m)?\nAnswer: -20*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of 97*n**4\/12 + 13*n**3\/3 - 294*n**2 - 1. Find the first derivative of p(h) wrt h.\nAnswer: 194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 12 = -4*t. Suppose 0*s + 108 = 27*s. Suppose s*i - t = i. Solve n = 2*n + i for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 269 + -264. Let d be 0*(r + (-160)\/30). Let 1\/9*a + 4\/9*a**3 + 5\/9*a**2 + d = 0. Calculate a.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 882*f + 2039*f - 51 - 1804*f**2 + 51 - 350*f**2 wrt f?\nAnswer: -4308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 13, -5, -46.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -5*m**5\/4 - 17*m**2\/2 + 34*m. Find the first derivative of b(z) wrt z.\nAnswer: -75*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10557\/(-102))\/(-69)*-2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*k**3 + 111 - 53 - 8*k - 59 to the form r*k**3 + n*k + s*k**2 + w and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7663524?\nAnswer: 2, 3, 11, 58057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*p = -86*p - 63 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1120628 and 71374?\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -303, -700, -1257, -1968, -2827, -3828, -4965?\nAnswer: -6232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 16, 27, 30, 25, 12?\n\"Answer: -4*z**2 + 23*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31)\/31*2\/12.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 17*r**2 + 40*r - 29. Calculate u(19).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/5)\/b**6)\/((b\/((b*b\/b**(-5))\/b))\/(b\/b**4*b)) assuming b is positive.\nAnswer: b**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7755, -1657, -27197, -76929, -158917, -281225?\nAnswer: -451917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/154 and 35\/2?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 207*300\/(-24840)*46?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56 - -96. Suppose u - 277 - s = -4*a, -3*a - 2*u = -328. Calculate the remainder when 315 is divided by a.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-13956)\/1428 + 12 - ((-344)\/68 - -5).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1155412 by 288853.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42941 is divided by 7153?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 - 31. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -7. Let o(j) = -10*j + 1. Let k be o(c). Calculate the highest common factor of 121 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 55, 4, 153035?\nAnswer: 153035","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -929 (b) -6 (c) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(300) + sqrt(3) + sqrt(15)\/sqrt(125))**2.\nAnswer: -448*sqrt(3)\/5 + 9808\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(7)*-3*-4 - (sqrt(7)*-3 + sqrt(7) + 3)*-1)*-6)**2 + -5.\nAnswer: 12528*sqrt(7) + 848047","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + ((-6*1*sqrt(88))\/(sqrt(8) + sqrt(24)\/sqrt(12)) - (-6*-2*sqrt(539) + -4)))*6)**2.\nAnswer: -44352*sqrt(11) + 3068388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * -2408344.5.\nAnswer: 21675100.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 99577661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.1 - 3.3. Let a = 9708 + -9710.20096. Let s = g - a. Round s to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/10901 greater than or equal to -3\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/6379185?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21829 plus -19121590?\nAnswer: -19121589.78171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 337*x - 1825. Let h be k(5). Is -1836\/13 not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 64*b**2 + 130*b + 106. Let j be u(66). Let t(r) = -r**2 - 27*r - 31. Determine t(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 12 = -3*l. Solve s - l*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 500108 is divided by 249976?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2274655 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x - 8. Let i be o(-11). Is (3 - 6) + i - -34 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(384) + sqrt(24))*-2*-1*4)\/(sqrt(1452) - -2*sqrt(1452) - (sqrt(144)\/sqrt(3))\/sqrt(4)).\nAnswer: 5*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 12179 - 363. Suppose -t + 879 + q = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 103, 1233, 3123, 5779, 9207?\n\"Answer: a**3 + 374*a**2 + a - 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 15 = 3*o, 2*i - 2*o = 3*o + 1. Let n = 3 + -1. Is n at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 169710 and 2115.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 306117 and 2803643?\nAnswer: 4859","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 5880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4 (b) 2\/3 (c) -244 (d) -273\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 6*n**3 + 3*n**2 - 3*n + 6. Let s(b) = 13*b**3 + 7*b**2 - 7*b + 13. Suppose -4*p + 16 = 2*y - 0*y, 0 = -5*p + 3*y + 9. Give p*s(r) - 7*o(r).\nAnswer: -3*r**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 2*m - 3*o - 22, -35 = -3*m - 2*o. Suppose 0 = -m*d + 10*d - 6. Let i be d\/(-6) - (-5)\/(525\/(-110)). Is -2 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -442*i - 17664. What is c(-40)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/8? (a) 6\/11 (b) -1\/2 (c) -3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 95 + (-4 - 21) - 41?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13775545 and 203?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/3))**(-35)*q**(2\/21)\/q**(-2) assuming q is positive.\nAnswer: q**(-446\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -31*p + 2712. What is the hundreds digit of s(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2526557 to the power of 1\/2, to the nearest integer?\nAnswer: 1590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 4*l + 1. Let x be z(0). Is (-9 + 11 - (-441 + -1)) + x a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 8 = 3*x, 0*f + 3*f + 5 = x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 + 1200?\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -876529.12 + -1\nAnswer: -876530.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6404*z - 143 = 9*q - 6400*z, 6 = -3*z for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 71304*z**4 - 94377?\nAnswer: 285216*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4860*l**2 + 2687*l**2 - 1597*l**2 - 1362*l**2 - 9441*l**2 to the form c*l**2 + f*l + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-8)*-4)\/(-2). Which is the nearest to m? (a) 0.8 (b) 0 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103 + 40 + 30*x + 63.\nAnswer: 30*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/7 (b) -2\/3 (c) 5 (d) -63\/4 (e) 106\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -7*o - 41. Let z(n) = -13*n - 80. Calculate 11*y(r) - 6*z(r).\nAnswer: r + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x - 22*x - 44 - x - 1. Let u be f(6). Let d = 22 - u. Is d a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99833.\nAnswer: 99833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 - 2*n**2 + 3*n**2)*(-2*n - n + 4*n) - 15*n**2 + 3*n**3 - n + 15*n**2.\nAnswer: 2*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16585\/2 + -8099. Let p = 151 - l. Calculate the common denominator of p and 4\/16 + (-159)\/(-20).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 5*i = 12, -i = q + i - 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jiji when four letters picked without replacement from {w: 5, i: 5, j: 8}.\nAnswer: 7\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -9806200 rounded to the nearest ten thousand?\nAnswer: -9810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c\/(c\/((((c**22*c)\/c)\/c)\/c)))*c**17)\/(c**(1\/25)\/(c\/(c*c*c\/((c*c\/c**(-6\/7))\/c)))) assuming c is positive.\nAnswer: c**(-207\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 60, 7, 38, 0 in increasing order.\nAnswer: 0, 1, 7, 38, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -77693\/3488 < -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.67 - 5.67. Which is the nearest to 5? (a) 3 (b) 2\/9 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2490 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 + (-1 + -20 + 39 - 9)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, r: 1, m: 1, t: 2}. What is prob of picking 1 t and 1 f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86285.\nAnswer: 5, 17257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104457.\nAnswer: 3, 34819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 2\/29 (c) 0.2 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32*g - 1685 + 5*g**2 + 11*g**4 + 1685 - 5*g**2 wrt g.\nAnswer: 132*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74500 divided by 20\nAnswer: -3725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/45522684 and 77\/110013153?\nAnswer: 1320157836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, q: 2, v: 4, p: 2, s: 3, m: 4}. Give prob of picking 1 p and 3 m.\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 386473227 a multiple of 203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52 and 14608.\nAnswer: 189904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 18 + 32 = 0. Find the third derivative of 17*y**2 + 4*y**5 - 16*y**5 - 13*y**f wrt y.\nAnswer: -1500*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k - 4 = 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002120215 rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 156161 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: -461 times 2\nAnswer: -922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/11 and 83\/6850.\nAnswer: 75350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 8879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/18)\/(71\/4473)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - (9 - (-10 - 0 - -15) - 1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d + 7. Let t be k(7). Let i(s) = -s + 14. Let x be i(t). Suppose 2 + x = 3*c - 2*l, -3*c - 4*l = -40. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = u - 4*l - l, 19 = 5*u - 4*l. Solve u*k + 16 = 4*q + 5*k, -2 = q - k for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**3 - 3*k**3 - 3*k**3.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4882301 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 11:58 AM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 1 - 5. Let m(o) = -o**2 + 12*o - 33. Let a be m(7). Solve -2*i + 8 = 0, a*i = x*w + 2*w + 12 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25.19 + 25.16. Which is the third smallest value? (a) v (b) -4 (c) -5 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1877745 + 1877828.0067. Let r = w - 83. What is r rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*94*(-1)\/(-2). Let c be -4 + i - (-2 + -1). Suppose -14 = -3*p + c. Calculate the smallest common multiple of 18 and p.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 7*q - 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20690287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02460207 to three decimal places.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 64*f - 133. What is k(-22)?\nAnswer: 791","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/9552 and 29\/6.\nAnswer: 9552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 = 3*u + 3*m, 633*m = -5*u + 631*m + 16 - 228 for u.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, a: 5}. What is prob of sequence aea?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.121 + -4.151. Which is the second biggest value? (a) -55 (b) 1\/4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 0) + (-171)\/63. Let l = -36.3 - -32.3. What is the nearest to 2 in 0.2, l, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1279, 3, 5, 1, -3, 770 in decreasing order.\nAnswer: 1279, 770, 5, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 187481349 divided by -5681253?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.91 - -1.9. Which is the nearest to h? (a) 2 (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 - 4 - -2)*2\/8. Solve 2*z + 1 = u, -c = -0*u + u - 4*z for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -519165 = 106*d - 514289 for d.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 5:41 PM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(768) + -2.\nAnswer: -2 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(16)*-1 + sqrt(16))\/sqrt(8) + sqrt(8)\/sqrt(4)*-1)*1 - (sqrt(360) - sqrt(360)*1 - sqrt(360))\/(sqrt(45)*-3))**2.\nAnswer: 50\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4375\/25 + 2 + -5. Let v = x - -24. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 29*j - 4. Let h be x(-2). Let f = 122 + h. Suppose -4*o = -236 - f. List the prime factors of o.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 470 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 134 + 233. Let n = 805 - m. Let s = -239 + n. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -n**6\/240 + 7*n**5\/120 - n**4\/24 - 23*n**3\/6 - 6*n**2 + 6. Let g(c) be the second derivative of k(c). Give g(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 454956\/1951 or 233?\nAnswer: 454956\/1951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + -0.22. Let d = 9.28 - 9. Let f = i - d. Which is the second smallest value? (a) -4 (b) f (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/40*5*-2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -12*v**2 - 5*v + 7. Let s(n) = 6*n**2 + 3*n - 3. Determine 3*a(r) + 5*s(r).\nAnswer: -6*r**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -305 + 84. Let n = g + 225. What is the least common multiple of 2 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, s: 11}. What is prob of sequence ss?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j - 2*j + j - 3*j**2 to the form w*j + g + y*j**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in centuries?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -20. Let i(h) = -h. What is b(z) - i(z)?\nAnswer: z - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 174 = -90. Suppose -4*y + y + 87 = 4*i, 4*i + k = 4*y. Calculate the greatest common divisor of y and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-5)*4\/(-4). Suppose 6*m - i + 591 = m, 3*i = -12. Let t = m + 119. Which is the third biggest value? (a) t (b) 2\/7 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 25122391 = -10*w. Let y be ((-4586)\/3)\/((-4)\/3954). Let m = y + w. Round m to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a = 9*a - 17388. Suppose -a*u + 830*u = 98. Let r(w) = -w**3 + 4*w**2 + 2*w - 2. What is the remainder when u is divided by r(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 299.8 + -848\nAnswer: -548.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -3*k + 2*w + w, 3*k + 30 = 5*w for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 15*r - 43. What is the least common multiple of f(6) and 7?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 410 = -2*x - 5*o, 1056 = -5*x + 6*o - 3*o. Calculate the smallest common multiple of 36 and 5*(-18)\/x + (-106)\/(-14).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 624480501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (440\/(-210))\/(-22)*3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5f7cb (base 16) to base 7.\nAnswer: 3216164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 132\/22 - 26\/5. What is the third smallest value in 8, -4, z?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -63*s**2\/5 - 1102*s\/5 + 1968 = 0. What is s?\nAnswer: -24, 410\/63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 - (-93 - (7 - 72))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 34\/5 of a micrometer?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 15 = 5*t, p + 5*t = 23. Let x = 2 - 0. Let y(v) = x*v - 3*v - v - 3. Give y(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a - 6. Let h(n) = -10*n - 65. Determine -6*h(l) + 65*z(l).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -123428.9703 to the nearest ten.\nAnswer: -123430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4813\/16 - 305. Find the common denominator of (100\/(-250))\/((-3600)\/(-10375)) and k.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 447019 is divided by 66.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 4*w + 4. Suppose 0 = -24*u - 11158 + 4078. Let z = u + 300. Let r(s) = 3*s**2 - 8*s - 9. Determine z*j(x) + 2*r(x).\nAnswer: x**2 + 4*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -4. Let g = -41404 - -41402. Sort y, 0.1, g, 2\/11 in descending order.\nAnswer: y, 2\/11, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3483 or -4589\/8?\nAnswer: -4589\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 9*k - 300 = 0. Let r(a) = -6*a. Let c be r(-1). What is the highest common divisor of k and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 0*h**3 - 3\/2*h**2 + 1\/4*h**4 + 0*h + 4. Find the second derivative of t(x) wrt x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -36*j - 104. Sort -1, -23, j in descending order.\nAnswer: -1, j, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 106 + -108. Let h be (-65)\/((-15)\/(-10) + p). What is h rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14927 + 22495. What are the prime factors of o?\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -4. Let u be 1\/(-3)*(-1 + s). What is the third derivative of 2*f**3 + 5*f**2 + u*f**3 - 3*f**2 wrt f?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/(a*a**18)))**(-22))**(-2\/95))**16 assuming a is positive.\nAnswer: a**(704\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 106904041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4809*q - 76663. Calculate h(16).\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 312.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -6) + -5 - 3\/15. Which is bigger: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*i**2*y + 3*i**2 - i*y + 11*i - 6*y wrt i.\nAnswer: -12*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5*g - 27, -3*u + 1 + 5 = g. Suppose -o = 4*y + 3*o - 16, u = o. Suppose 4*c - 12 = -0*c. Is c less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 135\/6*4\/6. Let n = 32 - j. Calculate the remainder when 49 is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10052651 + 1?\nAnswer: 10052652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a millennium in years?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*k**3 - 2*k**2 - 328*k**3 - 366*k**3 + 181*k**3 - 195*k**3.\nAnswer: -728*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -597344 - -1082707. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 o, and 1 u when three letters picked without replacement from {o: 1, w: 1, p: 1, u: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, -2.7, -1\/40, 5?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4*l**2 - 2*l + 13. Let f(y) = 9*y**2 + 3*y - 27. Let w(i) = 7*c(i) + 3*f(i). Calculate w(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1659 - 1573. What is the remainder when m is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-14.46.\nAnswer: 5.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**3*c**2 - 88290*b**3*c*t**2 - 3*b**2*c**3*t**2 - 43*b**2*c**3 - c + t + 13 wrt t.\nAnswer: -176580*b**3*c - 6*b**2*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -222*m**3 + 533*m**3 - 345*m**3 + m - 270*m**3 to q + a*m**3 + x*m + y*m**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-949)\/39 - -31)*(-36)\/(-10)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4*r**2 + 9. Let k be -3 - (1 - 0 - -1). Let z(i) = -6*i**2 + 13. What is k*z(l) + 7*h(l)?\nAnswer: 2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 7 - 13. Let p be (-12)\/x*1*10. Let d(o) = 16*o + 4. Let n be d(8). What is the highest common factor of n and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-287)\/294*8 - 4\/7. Let j = i - -26\/3. Let u = 2.6 - 0.6. Which is the nearest to u? (a) j (b) -0.1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -15*f**3 - 2*f - 1. Let y be l(-1). Is y\/40*(-13045)\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -64.6? (a) 4 (b) 364 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -685 - -688. Let y(f) = -k*f + 3*f + 4*f - 10 + 7*f - 12*f. Determine y(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -2\/3*l + 1 + 1\/6*l**2 + 1\/9*l**3. Solve u(r) = 0 for r.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19050, -19011, -18972?\nAnswer: -18933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 7*g - 7. Let f be x(-5). Suppose -5*q = -f*i - 22, 8*q = 3*q + 4*i + 21. Solve q*p - 2*p - 6 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -13950 + 334745\/24. Let h(o) = -o**2 + 29*o - 120. Let z be h(5). What is the common denominator of (35\/(-20) + z)*(-54)\/21 and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, q: 1, a: 4, g: 2}. What is prob of picking 2 a?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 0.009.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1306000 rounded to the nearest ten thousand?\nAnswer: 1310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10364\/10*1\/(-56). Let q = -341\/14 - x. What is the common denominator of q and (-7)\/49 + 201\/(-112)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 17.22.\nAnswer: 17.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.22 + 0.53. Is n smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.01326, -8, -4\/231 in ascending order.\nAnswer: -8, -5, -4\/231, -0.01326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -235, -177, -177, -259, -447, -765?\nAnswer: -1237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in -1.7, -4, 4, -17?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.9 + -2.9. Which is the nearest to 2? (a) k (b) -1\/4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 5*t**2 - 4*t**2)*(-27 + 50 - 17)*(5 - 1 - 1 + (6 - 3 + 2)*(-2 + 5 + 6)).\nAnswer: -288*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y**4\/4 - 99*y**3\/2 + 243*y**2 - 677*y\/2 + 579\/4 = 0. What is y?\nAnswer: 1, 3, 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gjjz when four letters picked without replacement from ccdjzjdggggccjgccccd?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -8*u - 1. Suppose -3*m + 52 = 5*t, 2*t = -0*t - 4*m + 32. Let n be 2\/(-10) + t\/(-10). What is the units digit of r(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -262 (base 9) to base 3.\nAnswer: -22002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4241, -6161, -8081?\nAnswer: -10001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l**2 + 8*l - 4. Let k(z) = z**2 + 2*z - 1. Let m(n) = -2*f(n) + 9*k(n). Let t be m(-2). What is the smallest value in 4, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4795 + 5038. What is the remainder when 3156 is divided by f?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a year in months?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1693888847?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2643 times 829\nAnswer: 2191047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 4. Let y be u(-13). List the prime factors of ((-3)\/2)\/(2\/912*y).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 o, and 1 u when three letters picked without replacement from ccyyllloocujllccuco?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 54 + 570. Suppose -5*q - 5 = 3*h, 0 = 4*h + 3*q - 0 + 3. Suppose -4*l + l + k = h. Is l a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from {j: 2, l: 9}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - -1. Let b(n) be the first derivative of n**3\/3 - 5*n**2\/2 - 14*n + 5. What is the units digit of b(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-5)*170\/(-68). Suppose 5*d + 7*u - 10*u - 34 = 0, y*d - 18 = u. Which is smaller: 4 or d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, r: 1, s: 4, m: 6, u: 1, c: 4}. Give prob of sequence ma.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 139 - 138. Suppose -5*c - 70 = 630. Let a be c\/(-600) + l\/(-3). What is the smallest value in -1.5, -2\/11, a?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5385111 is divided by 700.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 34302 and 15.8.\nAnswer: 34317.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zppp when four letters picked without replacement from pzpzzzpzzppz?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 197, 2, 2\/5, -0.5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000018362321 rounded to seven decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*v = -81 - 59. Solve 0 = 4*x - 5*g + 26, -14 = -3*x + 4*x - v*g for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4 - 1. Let m(g) = 789*g**2 + 17*g + 2. Let w be m(1). Suppose r + 164 = i, -5*i + d*r + w = 4*r. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 4*u - 1. Suppose -3*r - w = -15, 10 + 8 = 5*r + 4*w. Give x(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(200) - sqrt(200)*-3) + sqrt(200))*3)\/(sqrt(360) + sqrt(360) + (-5*sqrt(360)*-4 - sqrt(360) - sqrt(360)))*-1*3.\nAnswer: -3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 - 353*g - 274*g + 21 - 57*g to the form m*g + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d + 0*d + 6*d + 5*d.\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 6*u**2 + 152*u - 56. Give j(9).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 8:04 AM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17951317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - (1 + (16 - 2)). Let s be (-2)\/2 - w\/14. Suppose -2 = -k + 3*k + 2*x, -5*x - 32 = -4*k. Which is the closest to s? (a) -1\/6 (b) k (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 4*z + 417 - 447, -2*k + 24 = 5*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/8806837 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -314*i + 3*i**3 + 314*i - 5*i**2 - 41*i**2 to the form q + w*i**2 + f*i + a*i**3 and give w.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of 0*y**4 + 4\/15*y**6 + 6*y**2 + 0*y**5 + 0*y**3 + 0 + 13*y. Differentiate a(j) wrt j.\nAnswer: 32*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 819 and 156.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a meter in millimeters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -5.89. Let g = h + 5.11. Let k = 9 - 14. Which is the biggest value? (a) 3\/2 (b) g (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -27, -69, -123, -195, -291?\n\"Answer: -i**3 - 35*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = l - 21, -3*u + 14 - 1 = l. Solve 22 = -3*s + 4*g, 4 = -u*s - 9*g + 8*g for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 385746, 385850, 385954, 386058?\nAnswer: 386162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 26076240 and 3.\nAnswer: 78228720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2 + 4 = 0. Factor h**o - 2*h**3 + h - h**2 + h**3.\nAnswer: -h*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 5*w**2 - 75*w - 486. Let i be p(-6). Is i <= 4\/257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = c + 7. Let k = c - -51. Let -k - 4*x**2 + 28 + 6*x**2 + 2*x = 0. What is x?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) + sqrt(84)*2 - sqrt(84))*-4)\/(3*sqrt(108) + sqrt(108)))**2 - -2*(-6*4*2*sqrt(567))**2.\nAnswer: 23514652\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(1\/3)))**(-2\/19)*(d\/d**(-1))\/(d*d**(-2\/25))*(d\/d**(1\/5))\/(d\/(d*d**2*d))*((d**(-7)*d)\/d)\/(d**(1\/10)\/d) assuming d is positive.\nAnswer: d**(-3377\/2850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/66 and 35\/178398.\nAnswer: 178398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/1770 and 67\/2260?\nAnswer: 400020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 8 + 6 - 9*f**2)*(123*f**3 + 2 - 19 + 17 - 50*f**3).\nAnswer: -657*f**5 + 219*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*1763\nAnswer: -352.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 44\/3? (a) 0.6 (b) 2\/21 (c) -9489 (d) 0 (e) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 18 = 14*b. Solve b*n = -244 + 252 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4445, 4449, 4455, 4463?\nAnswer: 4473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 30. What is the common denominator of -49\/15 and x(0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(-2*sqrt(5)) - (sqrt(88)*-2)\/sqrt(8))*1.\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 92*r**3 - 3*r**2 - 5*r + 24. What are the prime factors of i(3)?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/8 - 439*r - 31689\/8.\nAnswer: (r - 3521)*(r + 9)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*v - 45 = -19, -4*m + 5*v = -22. Suppose m*q - 916 - 428 = 0. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.324, -70912, -3 in increasing order.\nAnswer: -70912, -3, 0.324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.2, 2\/13, 4, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 7*y**2 - 5*y - 4. Let s be l(6). Let i be ((-2)\/(-10))\/((-2)\/(-5)). Is s bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1350334.\nAnswer: 2, 53, 12739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, -149, -223, -287, -329, -337, -299?\nAnswer: -203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*g + 3*w - 21, -5 = 2*g + 5*w. Suppose 2*k - 2*l - 12 = 0, -2*k = g*l - 6 + 1. Which is the third biggest value? (a) 3\/4 (b) 4\/3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b = -834 + 638 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 0*w + 3*w**2)*(-47 + 5 + 119 + 116 + 299).\nAnswer: 1476*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 4, 3*g - 2*h - 107 = -0*h. Calculate the remainder when 171 is divided by g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9507, -19673, -30495, -41973, -54107, -66897, -80343?\nAnswer: -94445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4ab799 (base 14) in base 4?\nAnswer: -21302233223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.95 + 0.05. Let z = 4.7 - u. Let q be (-14)\/(-21) + 300\/(-423). What is the second biggest value in z, q, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -8*d + 8. Let g = -4 + 9. Let o(n) = -n**2 + 5*n + 4. Let h be o(g). Solve d*l = h*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-24) - (-312975)\/200. Let z = q + -676. Is 109 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -88300 to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**3 + i**2 + 3*i. Let u be 2\/(-6) + 52\/12. Let p(k) = 10*k**3 - 5*k**3 + k - u*k**3. Calculate m(n) - 3*p(n).\nAnswer: -n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2716799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1809?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5536 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9345537*f**2*m**3 - 4*f**2 - 130*f*m**2 - 134*m**2 wrt m.\nAnswer: -56073222*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*j + 5*t, 6*t = 4*j + 4*t - 18. Solve -3*i - j*c - 30 = 0, 3*i - 5*c + 0*c - 10 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 6*m**2 - 9*m - 15. Let c be k(8). Calculate the common denominator of 93\/4 and (c*(-3)\/21)\/6.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j. Let v(b) = -1051*b + 1053*b - 1 + 1. Give o(v(g)).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*c - 2 = -47*c. Sort c, 0, -5, 1.\nAnswer: -5, 0, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 6*a**2 - 28*a + 1. Let l be (-1)\/(-2 - (-56)\/35)*2. What is the remainder when 184 is divided by u(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.433762 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 + -8)\/((-3)\/2859) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1331, -1422, -1513, -1604, -1695?\n\"Answer: -91*w - 1240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o*o**(-9)*o)*o**9*o*o)\/(o**2)**(-2\/21))\/(((o\/(o*o**2))\/o)**(-4\/7)*o**(-1\/2)*o**(-7)) assuming o is positive.\nAnswer: o**(1007\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109087232 + -452.\nAnswer: -109087684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -4*k + 2*o, 384*k - 379*k = 7*o - 35 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 8*d**2 - 12*d - 3. Let m be u(-8). Let k = m - 29. Find the first derivative of 93 - k - 58 + 35*a wrt a.\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 14 = -i, -5*d - 2 = -3*i - 9. Let g = 14 - 3. Calculate the remainder when g is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 3 + 1114*a**2 - 10 - 1 + 21 as l*a**2 + g*a + r and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 c when three letters picked without replacement from {b: 7, c: 6}?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/10 - 113*m\/5 - 45\/2.\nAnswer: -(m + 1)*(m + 225)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 63 + -463213?\nAnswer: -4631a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h**3 + 111*h**2 + 602*h - 22258. Calculate j(37).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-19580)\/90 + (-4)\/9. What is the units digit of (-11)\/(66\/12) - g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ltng when four letters picked without replacement from oltltllgptntt.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -16. Suppose -o*p - 2*t - 2*t + 20 = 0, 0 = 5*p - t - 17. Solve -9 = -p*q + 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.034*-695.\nAnswer: -23.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 8386 (b) -2 (c) -104 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 94.9 and 54433.36988.\nAnswer: 54528.26988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 divided by -2?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 15 + 2*v**2 - 15 + 5*v**2 - 12*v - 1. Let t be p(2). Solve 2*u + t*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 45866\/5396 - ((0 - (0 - 1)) + 7). Solve -9\/4 + l*s**2 - 1\/4*s**4 + 3*s - s**3 = 0 for s.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2599072 - -1?\nAnswer: 2599073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-270*z + 111*z + 49*z)*(4*z - 2*z - 5*z) as f + l*z + c*z**2 and give c.\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -22. Let z be 5 + o + 5 + -1. Solve 0*l + z*w = -2*l + 6, 5*l + 23 = 2*w for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 10. Let s = 6.14 - c. Let o = 8829 + -8829.3. What is the nearest to 0 in o, s, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 74 - -1535?\nAnswer: 1631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000186035261 to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 0*i**5 + 0*i**3 + 10*i**2 + 0*i - 1\/10*i**6 + 0 + 1\/24*i**4. Calculate the remainder when 15 is divided by c(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 3*t + 2. Let r(o) = -o**2 + 2*o + 12. Let m be r(4). Calculate s(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 73.42 + -75. Let n = v + 1.57999965. Round n to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/60 + -1)*(-7)\/(2450\/(-21))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1047 times 8503\nAnswer: 890.2641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z + 28. Let s be x(10). What is the greatest common factor of 2 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(99)\/sqrt(3))\/(sqrt(3) - (sqrt(3) + sqrt(3) + (-6*2*sqrt(3) - sqrt(3)))).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-210))\/(((-66)\/(-42))\/11)*285?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*v - 2 + 2)*(v + 2*v - 5*v)*(3 - 4 - 2)*(255 - 3*v + 10*v - 250).\nAnswer: 504*v**3 + 360*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2680018263.\nAnswer: 3, 13, 22906139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6\/9*(-576)\/4800\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8899 = -2*u - 3*u - 4*d, 3*d = -3*u + 5340. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 17*n**3 + 53*n**2 + 7*n + 7. Let w be r(-3). Let q(s) be the second derivative of 17*s - 7*s**2 + 0 - 13\/12*s**w + 0*s**3. Differentiate q(m) wrt m.\nAnswer: -26*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 21*v**2 - 46*v. Let y be b(23). Suppose -5*t + 5 = y, 3*x + 4*t = 2*t + 188. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9373 and 5356.\nAnswer: 37492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -14, 0, -4 in descending order.\nAnswer: 0, -1, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 107 - -56. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - u = -83, -13 + 1 = -4*u. Let y = 45 + x. Solve r = 3*s + 4*r - 3, 4*s + y = -r for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-1)*l)**(2\/13)\/((l**(-1)\/l)\/((l\/(l*l**4))\/l*l)) assuming l is positive.\nAnswer: l**(-20\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m**3 - 47*m + 1886 wrt m.\nAnswer: -3*m**2 - 47","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 15*i. Let w(f) = 178331*f**2 + 2. What is v(w(z))?\nAnswer: 2674965*z**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 13, -30.\nAnswer: -30, -4, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -1891*t + 123. Let b be i(-2). What is the greatest common factor of b and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 81.8284 - -1.\nAnswer: 82.8284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -6*k**2 - 25*k + 64. Give u(3).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 2*t - 1. Let s(j) = -2*j**2 + 2*j + 1. Let l(i) = 4*k(i) + 3*s(i). Let y be l(-1). Let d(b) = -17*b - 1. What is the tens digit of d(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - -18 - (18 + 5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(sqrt(40)\/sqrt(4)) - (-2 + sqrt(112)).\nAnswer: -3*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1019 - 1016)*(76\/(-12) + -3).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1021.2 and 134.8.\nAnswer: 1156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -727267751 - -0.3\nAnswer: -727267750.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 4, b: 3}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y + 3. Let u(z) = -z**3 - 8*z**2 + 2*z + 12. Let t be u(-8). What is m(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*s + 44 = -14*s. What is the remainder when 153 is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -28964, -28971, -28982, -28997, -29016?\n\"Answer: -2*d**2 - d - 28961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t = -24 + 84. Suppose -t*b + 18300 = 9*b. Suppose 0 = 5*v + 2*p - b, p + 1250 = 5*v - 3*p. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*v - 12920 = -121*v - 4142 + 2454 for v.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37167 is divided by 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 233.95 + 2.05. Let u = f + -233. Let s = 2 - 1.7. What is the second biggest value in s, -3\/17, u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 11. Suppose -x*n = -816 - 104. Calculate the highest common divisor of n and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.05, 3, 5\/4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) -2\/73 (b) 0.9 (c) -13\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**2 - 2*z - 2. Let j = 18 + -12. Let a(b) = -b**3 - 3*b**2 - 2*b - 2. Let m be a(-2). Let d be 0 - j\/((-6)\/m). What is l(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1310*n - n**2 + n**3 + 2620*n + 11 - 1321*n as a*n + r + l*n**2 + p*n**3 and give r.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4. Let i(v) = -1. Let o(y) = -3*i(y) - m(y). Let f = 124 - 112. Let r(p) = 2*p + 12. Calculate f*o(b) + r(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + -1 + -31 + 33 + 47.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -5, -2\/13, 3, -0.5 in decreasing order.\nAnswer: 3, -2\/13, -0.3, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 167, 148, 129, 110, 91, 72?\n\"Answer: -19*i + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 2*n + 6, 3*g + 9*n - 4*n + 8 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jtjtjjjtjj. Give prob of picking 1 j and 3 t.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 5*j - 8. Let d be (-1)\/2*j + 7. Suppose 5*v = -d + 123. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + -2 + -1 - (-43 - -50).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*o**2 + 3*o**3 - 9*o**2 + o**3)*(o**2 + 5*o**2 - 4*o**2).\nAnswer: 8*o**5 + 6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1091, -3310, -7145, -12710, -20119?\nAnswer: -29486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42006 and 422.\nAnswer: 8863266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) -5\/84 (c) 16 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 30*s + 81. Let j be o(-3). Solve 5*a - 9*a = j, -5*m = a - 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -816.25 rounded to the nearest ten?\nAnswer: -820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -275 + 277. What is the closest to q in 0.06, -0.5, -3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11101011 (base 2) to base 3\nAnswer: 22201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.41104 to 3 decimal places.\nAnswer: 0.411","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - 52 - -20 - (-1 + -7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*y - 0*f - 18, 0 = -4*y - f + 8. Suppose -61 + 196 = y*j. Calculate the remainder when 179 is divided by j.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23262 = -3*p - 5*w, -3*p + 23262 = 410*w - 413*w. What is the thousands digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 3*q + 1 - 7 = 0, -294 = -l - 2*q - 299 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 18*r**2 + 39*r - 17. Let k be i(-20). Suppose 5*f = -k*c + 1363, 10*c - 9*c - 821 = -3*f. What is the greatest common factor of f and 110?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -22, 63, 280, 635, 1134, 1783?\n\"Answer: o**3 + 60*o**2 - 102*o + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 6 = 4*r - 0*m, -1 = 3*r - 4*m for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 840140 and 1890315.\nAnswer: 7561260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1168 = 4*o - 1268. Calculate the smallest common multiple of o and 44.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - p - 4*u - 48, -u = -p + 20. What is the remainder when 78 is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1077141, -2154287, -3231449, -4308633, -5385845, -6463091, -7540377, -8617709?\n\"Answer: -f**3 - 2*f**2 - 1077133*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -6. Let t = a - 6. Suppose -5*n + 2*n = t. Solve 3*i - 4 = 4*h, n*h = -4*h + 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 0 - (-338 - -344)) + 36 + 2\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -82. Suppose -3*t = 3*j - x, -t - 2*j - 3*j = -11. What is the remainder when t is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 57, 2\/1027, 2\/7?\nAnswer: 2\/1027","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 375575105 and 375575105 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199089*x**2\/2 - 6569949*x\/2 + 198 = 0. Calculate x.\nAnswer: 4\/66363, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 u when two letters picked without replacement from {j: 2, q: 5, b: 4, u: 2}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-143)\/(-33) + (-4)\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1281339*r**2 - 2359904*r wrt r?\nAnswer: 2562678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4c936 (base 16) in base 9?\nAnswer: 527224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 35 - 385 = 0. Does 14 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -19*z + 1053. Let b be p(53). What is the highest common divisor of b and 1058?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1255*i**5 + 2*i**4 + 17*i**3 - 651929*i**2 wrt i?\nAnswer: 75300*i**2 + 48*i + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/6 (b) -0.2183 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v**3 + 6*v**2 + 2*v + 3. Let q(t) = t - 1. Let j(y) = -f(y) - 3*q(y). Let d(i) = -2*i**3 + 4*i**2 + 3*i. Determine 8*d(c) + 5*j(c).\nAnswer: -c**3 + 2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - -20907684?\nAnswer: 20907707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 + 212 = 7*v. What is the remainder when 37 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + k**2 + 3*k + 3. Suppose 3*c - c + 4 = 2*n, 0 = 2*n + 2*c + 4. Suppose 5*w + 2*g - 49 = n, -2*w + 53 = 3*w + 4*g. Let b = w - 6. What is a(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + q - 111 + 109 = 0, -5*x + 23 = 3*q. Let f be 23\/3 - (-3)\/9. What is the third biggest value in f, -1, 2\/7, x?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (0 + 15)) + (-1 - -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4, 0, -14, -44, -96, -176, -290, -444?\n\"Answer: -z**3 + z**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -40\/7, -3\/208, 0, -21?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 440*j - 427*j - 27196 = 0. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*u + 10 = -c - 40*u, -3*c + 5*u = 22 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seventeen quarters of a tonne?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*n**5\/2 + 129*n**4\/2 - 54*n**3 - 798*n**2 + 1176*n = 0. Calculate n.\nAnswer: -7, -28\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111 (base 4) in base 14?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g + 33. Let z be l(14). Suppose 3*q + 4*i + 38 = 4*q, -4*i + 118 = z*q. Does 13 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/5712 and 97\/487968.\nAnswer: 3415776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3183 + -1637. Is 47 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, j: 8, a: 4}. Give prob of sequence na.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1349 and 323?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(1\/3)\/n*n))**(13\/4)*(n**(-2))**15 assuming n is positive.\nAnswer: n**(-167\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q**2. Let k(y) = -y**2 - 2*y - 2. Let f(x) = 2*x**2 + 5*x + 5. Let v(h) = 4*f(h) + 10*k(h). Calculate v(u(z)).\nAnswer: -18*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*b - 31*b + v + 119, 5*b + 3*v - 587 = 0. What is the remainder when 289 is divided by b?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nvnlnnycnynnnyvclnn. Give prob of picking 1 l, 1 y, and 2 c.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2235, -8954, -20211, -36054, -56531, -81690, -111579, -146246?\n\"Answer: -8*x**3 - 2221*x**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 282877465?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -437, -886, -1363, -1880, -2449, -3082?\n\"Answer: -2*i**3 - 2*i**2 - 429*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*u**2 - 6*u**2 + 2*u**2.\nAnswer: 13*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m - 106 + 106.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 227427074 to the power of 1\/3, to the nearest integer?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54 - 61. Let u = 1 + 0. What is the remainder when u is divided by (c\/28)\/((-2)\/8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7880*d**3 + 16532*d - 16532*d.\nAnswer: 7880*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-228)*-107 + 220\/264.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.4, 2\/9, -30847, -0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 175336.8 meters to kilometers.\nAnswer: 175.3368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aapdpk. What is prob of picking 1 d, 1 p, and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1472 divided by 23?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25658 rounded to 2 dps?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 6 - -13 - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 57c15 (base 16) in base 2?\nAnswer: 1010111110000010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5\/3)\/((2790\/162)\/(-31)))\/(330\/(-220)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -223 (base 4) in base 9?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m + 10. Let k be l(7). Differentiate -3 + 1 - 2*i**k + 0 with respect to i.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**20\/z*z\/z**(-2\/21))\/(z*(z**(-3)*z*z)\/z*z**(-5)) assuming z is positive.\nAnswer: z**(548\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-14))\/((-128)\/(-1792)) - 1. Let s = 9.1 + -1.1. Let k = 5 - s. Put z, 0.4, k, 0.3 in decreasing order.\nAnswer: 0.4, 0.3, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5308954, -10617903, -15926850, -21235795, -26544738?\n\"Answer: h**2 - 5308952*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338*a - 156*a + 1260 = 98*a for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5952)\/(-360))\/62*5\/58*9\/(-15).\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 9. Let o = y + -6. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.55562975 + 0.56563. Let f = -0.01 + w. What is f rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 8. Let p(s) = -4 + 4 + 0 - s**f + 4 + 3*s. Calculate p(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**5 - 4*r**5 + 4*r**5 + (590*r**4 + 286*r**5 - 590*r**4)*(4 - 4 + 1).\nAnswer: 285*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 + 2 + -1 + -2. Solve 2*q = 4*r - 2, -r + 3*q = -q - s for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10b8211 (base 13) to base 12\nAnswer: -1889590","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 400343 != 400348?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 113046?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**2 + 488*l + 34 - 34 - 3*l**2 + 6*l**2.\nAnswer: -l**2 + 488*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 109, 5, -86 in ascending order.\nAnswer: -86, 5, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(60\/(-8))*-2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-6*(-3 + sqrt(304)*-2))**2 + -1*(sqrt(304) + -2 + sqrt(304))**2*-3.\nAnswer: 1632*sqrt(19) + 47761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 1 (c) -5 (d) 634 (e) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 10:50 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express a**3 + 0*a**2 + 0*a**2 + 30*a**3 - 232*a**3 - 153*a**3 + a**3 + 4 - 4 + (-2*a**2 + a - a)*(-2*a + 0*a + 4*a) as m*a + d + i*a**2 + v*a**3 and give v.\nAnswer: -357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/4 of a kilogram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 142379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 11*l + 15. Let a be z(-12). Suppose 0 = y - 5 + 1. What is the first derivative of a - y*u**2 - u**2 - 5 + 2*u**2 wrt u?\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 1\/2*r**2 + 0 + 7\/2*r = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -o + 9*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*w + 9 = -2*g, 0 = 3*w - 2*g - 19. Let p = 0.1 + -0.3. Let n = 4.5 - 4.2. What is the second biggest value in n, w, p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76991 equal to 307969\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1000111011111111011 (base 2) to base 8\nAnswer: 1073773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3099157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vbuc when four letters picked without replacement from {b: 1, c: 3, v: 1, u: 3, e: 5}.\nAnswer: 3\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -s + 4*o, -s + 7*o - 4 = 6*o. Let q be (1 - 8)*(-8 + 10). Let g = -10 - q. Put 0, s, g in descending order.\nAnswer: g, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/1*-1*-6. Let s(n) be the third derivative of n**5\/60 - n**4\/3 + 3*n**3\/2 - 5*n**2 + 184. Calculate s(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 8*j**2 + 6*j + 9. Let m be b(-9). Suppose z - 9 = -m. Let d = 53 + z. Calculate the greatest common divisor of d and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 408 is divided by 28.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -7*a + 82. What is the remainder when o(7) is divided by (-16)\/10*15\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-1\/23))\/s)\/s**(-11)*(s**(-18)\/s)\/(s*s\/(s\/(s\/(s\/(s*s**(1\/11)))))*s))**30 assuming s is positive.\nAnswer: s**(-84510\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvqq when four letters picked without replacement from qqqqqqvq.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -344985 (base 12) to base 9.\nAnswer: -1516152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of 5*p**4\/12 - 65*p**3\/6 - 350*p**2 + 973*p. Factor k(m).\nAnswer: 5*(m - 20)*(m + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4935356*l - 11 - 10 - 9 - 4935358*l + 30.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178660 is divided by 89321?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 34, 2\/5, -140, 7, 2\/15, -1 in increasing order.\nAnswer: -140, -1, 2\/15, 2\/5, 3, 7, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 4*s**2 + 3*s - 1. Let d = -21 - -18. Let r(q) = q**3 + 4*q**2 + 3*q - 4. Let o be r(d). Determine p(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 164*j**2 - 17 - 94*j**2 - 3*j - 67*j**2. Determine s(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sollossslnssllonnln. Give prob of picking 2 s and 1 l.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/4)\/(95\/190)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(1020\/1309) + ((-46)\/10 - -4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2759 + -3?\nAnswer: -275c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of 2531*i**4\/12 - 27*i**2 - 34. Let r(u) = -u. Give w(r(a)).\nAnswer: -5062*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 268*n**2 + 2*n - 2*n - 270*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**5 - 42*x**4 + 220*x**3 - 328*x**2 - 144*x + 448 = 0. Calculate x.\nAnswer: -1, 2, 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01594376958 rounded to 4 decimal places?\nAnswer: -0.0159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 319.45 - 3.45. Let j = z - 313. Which is the closest to 2? (a) j (b) -1 (c) 2\/3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2*z + 3 + 58*z**3.\nAnswer: 58*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n - 48. Let y be a(0). Let l = 66 + y. Calculate the smallest common multiple of 10 and l.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 261.94, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - f + 3*f = 24, 3*c - 3*f - 6 = 0. Suppose c*x - 112 + 21 = 0. What is the remainder when 49 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2 + 5*l + 1. Let b(k) = 5*k**2 + 15*k + 3. Let i(o) = 3*b(o) - 8*s(o). Let n = 152 - 148. Calculate i(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2f (base 16) in base 6?\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 4*c = 9*p + 280, -118 = -60196*p + 60201*p + c for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*s + 288 = -0*x, 5*s + 10 = 0. Calculate the greatest common factor of x and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69.579273 - -5.\nAnswer: -64.579273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 7:02 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4419*y + 4*d + 26 = -4421*y, -5*d = 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 + -0.3. Let i = 0.668 + g. What is i rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + t + 406 - 77 = 0, 3*n - 3*t = 339. What is the smallest common multiple of n and 3636?\nAnswer: 10908","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -141.094 to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -434 = 6707*w - 6645*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(560\/(-896)*((-12)\/(-15))\/(-4)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -5188.\nAnswer: -5185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u - 5. Let z be a(-7). Let s(i) = 3*i + 2*i**2 - 3*i**3 + 5*i**2 - 4 - 2*i**z. Is s(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-820)\/(-164))\/((-5)\/(-94)))\/(4\/(-4))\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 + 56. Put 16, 5, 1, f in decreasing order.\nAnswer: 16, 5, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 336 = -i. Let z = i - 79. Solve -z*u = 5*n + 30, 2*n + 20 = -4*u - 0*n for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/1533)\/((96\/(-28))\/8). Is y less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**3 + 16*u**2 + 44*u + 62. Determine b(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -20*x - 148. Let d be j(-19). Calculate the greatest common divisor of 8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*z - 75*z - 92 = 2*n, 4*z + 6*n = 3*n - 152 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*v + 36 = 0, -v = 3*n + 31 - 160. Is (-18)\/1*(-3136)\/n a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.75 minus 24386?\nAnswer: -24370.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 553306?\nAnswer: 2, 13, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + -1. Let y(f) = f**2 + 4*f - 3. Let r be y(w). Let c be -2*(-2)\/r*3. Sort c, -1, -3 in decreasing order.\nAnswer: -1, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 25*b**2 - 38*b + 36. List the prime factors of r(23).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0078389189 rounded to 5 dps?\nAnswer: -0.00784","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -352 + 355. Put -20, -3, l in ascending order.\nAnswer: -20, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/5 of a milligram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13\/5 of a centimeter?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 21 = 2*t, 2*a + 0 = t - 3. Let n = 1 + -2. What is the nearest to n in -3\/8, a, 4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 306736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 111\/4 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wooww. Give prob of picking 2 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(720)*-1*-5 + -2*sqrt(720)*6).\nAnswer: -84*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.075 - 0.175. What is the nearest to q in 1\/5, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0 (b) -11\/6 (c) -17 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 4, 21, 48, 85?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -14*v**2 - 2*v + 1. Let a(k) = 7*k**2 + k. Calculate -5*a(x) - 3*o(x).\nAnswer: 7*x**2 + x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 11, -1, 2, -9 in decreasing order.\nAnswer: 11, 2, 1, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3596*p + 3 + 1202*p + 1199*p + 1197*p - 3.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1085, -2173, -3275, -4397, -5545?\n\"Answer: -w**3 - w**2 - 1078*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -448.16067 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 3*h + 264. List the prime factors of h.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g**3 - 112*g**2 + 258*g - 2478. Give c(-40).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 4:15 PM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 283437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 4254672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11847320110 minus 0.5?\nAnswer: -11847320110.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 - 3*y. Let i = -495 - -1023. Let o = -536 + i. Let l(v) = -5*v**2 + 8*v. Suppose b = -4*b - 15. Calculate b*l(u) + o*j(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -50 in -4, -15, -2\/13, -3, 8\/5?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.886389 from -462.\nAnswer: -462.886389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 3\/5, 0, 1.373, -2\/7?\nAnswer: 1.373","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*t**3 + 445*t**2 + 290*t - 120.\nAnswer: 5*(t + 1)*(t + 12)*(7*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 82*m**2 - 57*m. Let i(f) = -123*f**2 + 85*f. Let y(z) = 5*i(z) + 7*n(z). What is the second derivative of y(b) wrt b?\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {i: 9, h: 1, u: 5, q: 5}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 368*y + 46*y + 294*y - 71*y to n*y + m and give n.\nAnswer: 637","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 291 = -75. Calculate the greatest common factor of 24 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -63*t**3 - 5*t**2 + 61*t - 104. Calculate c(2).\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*12\/(-9) + (-11)\/(154\/(-70)). Let g(u) = 6*u**3 - 2*u**2 - u + 2. Calculate g(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3971.63 centuries to years.\nAnswer: 397163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.419l in millilitres?\nAnswer: 3419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(72\/4))\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 1 = -5. What is the units digit of (-2)\/4 - (-15)\/x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9423897 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -44 - ((4 - (9 + -1)) + -5 - 1)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -13.8. Let g = -0.4 - a. What is the second biggest value in g, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -0*w. Suppose 5*z - 25 = -w*z. Suppose -2*l + 15 = z*t, 3*l - 39 = -l - t. What is the lowest common multiple of 2 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -4*z**4\/3 - 2510*z**3 + 110360*z**2\/3 + 211250*z + 288344\/3 = 0.\nAnswer: -1897, -4, -1\/2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = 4*x + 3*l, -2*x + 3*l + 22 + 83 = 0. Let j = -13 + 18. What is the greatest common divisor of x and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -1\/24*g**4 + 0*g + 5\/6*g**3 + 42*g**2 + 0. Determine p(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssfffwswffwwff. What is prob of picking 2 w?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -648 - -1210. Suppose 0 = -4*u - o + 450, 5*u + o - f = -0*u. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210102121 (base 3) in base 12?\nAnswer: 905a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*s - 3, -3*w - 2*s + 8 = -4*w. Let v(g) = g - 7. Let z be v(0). Is z smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i**3 + 46*i**2 + 0*i**3 - 5*i + 4*i**3 + 0*i + 34*i**2 to the form r*i**2 + l*i**3 + b*i + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/1046 + 59105\/6276. What is the common denominator of -59\/1212 and d?\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0 - -1) + 5)\/((-196)\/(-294)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (254*c**2 + 1943*c**2 - 449*c**2)*(-c + 2*c + c) as w*c**2 + x*c**3 + a*c + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 34*a**2 + 2*a - 2. Calculate the remainder when 131 is divided by u(1).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407225 is divided by 17667?\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -123 - -125. Let o(h) = 13*h**2 - 5*h**2 - 8*h**x - 6*h**2. Let k(p) be the second derivative of 7*p**3\/6 - 3*p. Calculate k(o(y)).\nAnswer: -42*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q. Let n(d) be the first derivative of 0*d + 2 - 3\/2*d**2. Calculate c(n(y)).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 25, -6 = g + 5*v + 15. Let d = g - 0. Differentiate 1 - b**4 - b**d - 3 with respect to b.\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, b: 12}. Give prob of picking 2 b.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41742523?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1 + 2 + sqrt(1331).\nAnswer: -4 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 646950 is divided by 4313.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/10 (b) 5 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (0 - 2)) + -93 + 98\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3693, -1\/2, -11, 4, -0.4, 2\/43?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 11*i**3\/3 + 17. Let s(f) = -2*f. Give s(x(l)).\nAnswer: -22*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3 - 4 - 9*m**3 + 4 + 8 wrt m.\nAnswer: -27*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5399*o**2. Let n(p) = 3446*p**2 - 6866*p**2 + 3419*p**2. Give n(r(z)).\nAnswer: -29149201*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 25 = 11. Let o = c - 6. Let a be 7\/o + (-1)\/3. Solve 20 = a*k + 4*t, 5*k - 10 - 7 = t for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of y**7\/945 - y**6\/180 - y**5\/270 + y**4\/36 + 59*y**2. Solve d(r) = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 380531 and 776?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 b when three letters picked without replacement from bpbbpbb?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/800 and -155\/4032.\nAnswer: 100800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**4 + 9*g**2 - 6*g.\nAnswer: -3*g*(g - 1)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((r*(r*r**0)\/r*r)\/r)**(22\/9))**(-33))**(-1\/2))**13 assuming r is positive.\nAnswer: r**(1573\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -8. Let w(i) = -i + 8. Let r be w(6). Suppose -10 = -u*m - r. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 27*w**2 + 3. Let i be g(-27). Let k(d) = 167*d - 166*d - i + 3. Let y(x) = 58*x. Determine k(y(h)).\nAnswer: 58*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 + -0.9. Let w = q + 0.5022. Round w to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 25*p**5 - 710*p**4 - 11505*p**3 - 55150*p**2 - 107260*p - 73800 = 0.\nAnswer: -5, -18\/5, -2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -417 - -438. What is the remainder when 39 is divided by v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 462*q - 497*q + 2730 = 0. Calculate the highest common factor of 6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.7305 to the nearest integer.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2218*r**3 + 4*r**2 - 359.\nAnswer: 6654*r**2 + 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11\/76, 7, -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4*j - 2 = -8, w - 32 = -5*j. Suppose -65209248 = -3*z + w*z. Let m = z + 7902312. Round m to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9026 (base 10) to base 11.\nAnswer: -6866","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrl when three letters picked without replacement from khhrkarkuukrkrrlkukk.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -147*y + 5415. What is the smallest common multiple of 5400 and o(20)?\nAnswer: 59400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.8 - 1. Let y = -33 + 35. Let s be y*((-27)\/(-10) + -3). Which is smaller: b or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 3*o**2 + 8*o - 25. Let w be f(-8). Let m = w - 113. What is the highest common divisor of m and 177?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + 3. Calculate the remainder when 5 is divided by u(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123022466527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 79398289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 8. Let z(q) = -2*q**3 - 4*q**2 - 3. Let f be z(d). Suppose 4*c - 3*t = 12, -c - 2*t - f = -6*c. Solve 0*a = c*a - 2*i + 3, -13 = -a - 4*i for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, 2, 0.16, 8, 5, -14\/43?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -18*r**2 + 279*r - 875. Give m(3).\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 54275950?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -1 - (-11 + (-3 - -25))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6451, 6393, 6351, 6337, 6363?\n\"Answer: 2*c**3 - 4*c**2 - 60*c + 6513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (304\/50)\/((-6)\/(-10)) + (-10)\/75.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -14b2?\nAnswer: -14b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 b when three letters picked without replacement from lllllblddl.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 34*g**2 + 37*g - 52. Determine f(-35).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 8*n - n**2 + 4 - 4 + 5*n + 7. Let m(c) = c + 4. Let z be m(8). List the prime factors of w(z).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + 4*s - 7, -4*q + 4*s - 1 - 3 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 454092 + -239122. Round f to the nearest 10000.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -74 (b) 5 (c) 569\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 12:18 PM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 192482488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*q + 4*p + 18 = 0, 0 = -3*p - 9. Let j be 10700\/390*q\/(-2). Let r = -41 + j. Which is the third biggest value? (a) r (b) -5\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 84 + 3\/9*(-13 + 1). Suppose -82*g = -k*g - 18. Is g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -251*d + 138*d + 126*d - 1668*d - 744*d + (-1 - 4 + 6)*(2*d - 3*d - d) - 7*d - d - 6*d to the form j + h*d and give h.\nAnswer: -2415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w + 12*w + 5*f = -11, -3*f + 19 = w. Solve 10*k = w*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 - -93 - 6 - 67.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1216 and 47614.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 164884519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12942, -13295, -13696, -14145, -14642, -15187?\nAnswer: -15780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 10*j**2 + 93*j. Calculate the remainder when 2799 is divided by k(-10).\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -h**3 - 7\/4*h**2 - 1\/2*h + 1. Solve q(d) = 0 for d.\nAnswer: -1, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32 - 11 - -44) + -41.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38775116 - -564882. Suppose 0 = -4*q - 33*c + 34*c + 78679998, 2*q - c - n = 0. What is q rounded to the nearest one hundred thousand?\nAnswer: 19700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/6*4\/(24\/(-21))?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 117 - -89. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1188) - (-2*sqrt(1188) + sqrt(1188)))\/(2*sqrt(432)) + -3*-5*(1 + sqrt(396))*3.\nAnswer: 45 + 541*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -f**3\/3 - 33*f**2\/2 + 13*f. Let t be u(19). Is -71 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 1:14 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -11*u**2 + 3*u + 11. Let t be c(-2). Let o = -31 - t. Solve 0 = 5*l - l - o for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -107 + 106. Let v = 297\/5 - 59. What is the smallest value in v, 2\/13, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**3 - 3*f**2 + 7*f - 215. Is m(21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7814 divided by 2?\nAnswer: -3907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16152 + -177670\/11. What is the biggest value in 0, o, 4, -1\/30?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 584440136 a multiple of 4328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 524*i - 579*i + 440 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 782 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 -11*z + 9116 = -15*z - 208*z. Put z, 4, -3, 6 in decreasing order.\nAnswer: 6, 4, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 231579655?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 415907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*y + 4590, 5*a = -3*y + 10*a + 2735. What is the highest common divisor of y and 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, f: 7, o: 5}. What is prob of picking 2 o, 1 j, and 1 f?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -18*d**2 - 80*d + 98 = 0?\nAnswer: -49\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 7*g**2 - g - 14. Let r be m(-7). Let c be ((-78)\/42 - -1)*r. Solve a = 4*a - y + c, 5*a + 2*y = -10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -20514 divided by 1\nAnswer: -20514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 4*d - 568. Suppose -5*x + d = -28. Let j = 54 - x. Solve 0 = -g - 3*g - j for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2 - 1 + 3*c**2)*(2*c + c - c)*(3*c + 5*c - c) to m*c**3 + g*c**4 + j + f*c + z*c**2 and give g.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 192738920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -11*y - 3. Let v(j) = 286*j + 77. Let b(z) = 77*a(z) + 3*v(z). Let w(m) be the first derivative of 0*m**2 + 5\/3*m**3 + 0*m - 102. Determine b(w(c)).\nAnswer: 55*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4*m = -12, 2*m + 11 = 2*r - 7. Suppose 2*o + 2*o = -r*o. Solve o = 2*q + 2*y + 16, -3*q - 2*y = -2*q + 13 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c**2 + 5. Let j(f) = 3*f + f**2 - 3*f + 1. Let n = 5557 + -5558. Let q(b) = n*o(b) + 5*j(b). Let d(t) = 2*t**2. Determine q(d(g)).\nAnswer: 40*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q - 2*q**2 + 32 + 4*q**4 + 0*q**2 - 6*q**3 + 16*q**4 - 18*q**4 as u*q**2 + w*q + o + c*q**3 + m*q**4 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -7. Suppose 4 = 2*w - c*w. Let r(l) = 2*l**2 + 0*l**w - 6*l**2 + 3 - 2*l**2 - 8*l. Let v(a) = 2*a**2 + 3*a - 1. Calculate -4*r(g) - 11*v(g).\nAnswer: 2*g**2 - g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 o when two letters picked without replacement from onooooooooooooo.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -22*w**2 + w + 13. What is b(2)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.3, -0.06, -1\/18, -2\/17, 1, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 33383383 times -0.2\nAnswer: -6676676.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 6 + (22 - (40 + -6)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-4)*(-8)\/198*3 - 1924\/(-2849).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 4. Suppose 50 = 5*r + b*f - 87, -r + 13 = 4*f. Suppose w + 0*w - 3*i = r, -4*w = -2*i - 86. Does 13 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g. Let f(t) = -60*t**2. Give f(m(h)).\nAnswer: -540*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a kilometer in meters?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56 - -56.3. Which is the nearest to 20? (a) 3 (b) -0.2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -120232 by -30058.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 508715132.9766639352969 - 369.5766402352969. Let d = r + -508714785. Let v = 21.6 + d. What is v rounded to 6 decimal places?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z - 7. Let i be o(-8). Suppose 13 - i = 4*y. Let c be ((-6)\/(-4))\/((-3)\/(-6)). Solve y = 5*v + 8, c*b - 4*v = 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/16*(-1472)\/92*1\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-4))\/(6\/(-36)). Let i(t) = -o + 5*t + 2 + 0 + 4. Calculate i(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-3)\/9*21?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - y + 2)*(-3*y**3 + 0*y**2 + 0*y**2) + (5*y**2 + 2*y**2 - 4*y**2)*(30 + 17*y**2 - 30) in the form t*y**2 + m*y**3 + s*y + d + c*y**4 and give c.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*k + 17*k - 27*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 475488, 475514, 475540, 475566?\nAnswer: 475592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, -54, 0.2, 2\/15 in decreasing order.\nAnswer: 0.2, 1\/7, 2\/15, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 2*t**3\/39 + 25*t**2\/13 + 48*t\/13 + 78. Solve k(y) = 0.\nAnswer: -24, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 - (-14)\/3)*36 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvxvxxxxvvvv. Give prob of picking 1 v and 1 x.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 4*m - 8, 14 = 3*k + 2*m + 4. Suppose j = -4*t - 4, -k*j - 2*t = 3*t + 5. Suppose 7*x = -j - 7. Which is the nearest to x? (a) -21 (b) 3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -145, -140, -127, -118, -125, -160, -235?\n\"Answer: -2*t**3 + 16*t**2 - 29*t - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8889162182 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 625563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -12. Solve -a*z = 4*p - 18, -5 = -4*z + 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1025536 and 6009?\nAnswer: 2003","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12736523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 2, 68 in descending order.\nAnswer: 68, 2, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {f: 2, s: 4, n: 1, d: 5, e: 2}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -72*4\nAnswer: -288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 18671, 37359, 56047?\n\"Answer: 18688*q - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 142500042 (base 6) in base 5?\nAnswer: 1222302303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3006, -27, 16, -2, 4 in descending order.\nAnswer: 16, 4, -2, -27, -3006","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 8 + 15 - 0\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -528 + 564. Which is the fourth smallest value? (a) o (b) 3\/8 (c) -1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 868\/744 + 46\/(-60). What is the nearest to 4 in 0, 0.5, -1.9, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**3 - a**2 - 3*a. Let u(p) = 6*p - 6. Let v be u(-10). Let r = v + 72. Let b(x) = x**3 - 2*x. Let o(n) = r*w(n) - 11*b(n). What is o(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341375 is divided by 965?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20114144705\/11519304 + -1\/1439913. Let p = c + -1758. What is the common denominator of -15\/2 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-6\/5)\/(d\/d**(-14\/5)))\/((d*d\/(d**(-1\/2)\/d))\/(d\/d**(-1\/16))) assuming d is positive.\nAnswer: d**(-119\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 779 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, k: 4, c: 1, f: 2}. What is prob of sequence kcff?\nAnswer: 1\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/13957 and -46?\nAnswer: 13957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7905 is divided by 134.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-8)\/6)\/((-4)\/114) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 5*w + 2. Suppose -4*b - 5*r = -b - 38, r + 14 = 3*b. Suppose b*x + 7 = -23. Let i(a) = -2*a**2 + 10*a + 4. Determine x*v(p) + 2*i(p).\nAnswer: p**2 - 5*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 127\/10 (b) 1 (c) -5 (d) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -680*u + 153*u - 21236 = 900*u + 34417 for u.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 - 6 + 6 + 21*c.\nAnswer: -c**2 + 21*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2862506545 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, 11, -3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7995036737944 and -5.\nAnswer: -7995036737949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 2*t - t)*(8*t - 62 + 33 + 33).\nAnswer: 8*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -8.665151?\nAnswer: 0.8665151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 14) to base 8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - n = -34, 25*n + 48 = -5*w + 29*n for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*j + 0*j + 5*j)*(1 + 2*j - j + 0*j) to the form c + u*j**2 + t*j and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 3, -10, -205, -4 in descending order.\nAnswer: 3, 2, -4, -5, -10, -205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 7 = 0, 3*w - 116 = -4*v - 85 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71601 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3)*(-6*w - 2*w + 4*w + 0*w - 2*w - w + (-3 + 1 + 0)*(0*w + 2*w - w)).\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 17820 to the power of 1\/2, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -629*u**5 - 2225*u**3\/3 + 2904. What is the third derivative of t(d) wrt d?\nAnswer: -75480*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-4) - (-11)\/22. Suppose 0 = a - p - 4, d = a + p - 2. Find the third derivative of 2*t**2 + 4*t**a - 1094*t + 1094*t wrt t.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66510044?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2012, 4103, 6194?\n\"Answer: 2091*u - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeeeeexeexeeee. What is prob of picking 2 e?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**4 - 6*u**2 + u - 6. Let h(w) = -2*w**4 - 5*w**2 - 5. Let x(y) = 5*b(y) - 6*h(y). Find the second derivative of x(v) wrt v.\nAnswer: 84*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(5\/2)*r\/(r\/r**(2\/5)*r)*r**2*r*r**4)\/(r*r*r\/r**4*r*r*(r*r\/r**(-1\/11))\/r*r\/r**(-2\/5)*r**(3\/5)) assuming r is positive.\nAnswer: r**(89\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42227504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y**3 - 3. Let s(d) = 10*d**3 + 9. Calculate -11*m(k) - 4*s(k).\nAnswer: -7*k**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 6850255.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 72.544 + 0.456. Which is the nearest to 2\/5? (a) -1 (b) n (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of 0 - 11\/8*a**4 + 0*a**3 + 25*a**2 + 1\/20*a**5 + 0*a. What is c in i(c) = 0?\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10, 2\/3, -1\/5, -2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oaomooam. What is prob of sequence ao?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.1, 0, -1, 5\/59, 5 in decreasing order.\nAnswer: 5, 0.1, 5\/59, 0, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -132697 and 4.\nAnswer: -530788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24\/11*z - 128\/11 + 2\/11*z**2.\nAnswer: 2*(z - 16)*(z + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1913 and -3695.\nAnswer: -5608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 - 0. Let f = -181\/6 + 89\/3. Let j be ((-11)\/(-4) - 2)\/(-3). Sort j, x, f in decreasing order.\nAnswer: x, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-8\/13))\/q**(-7) assuming q is positive.\nAnswer: q**(96\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -605446 greater than or equal to -605451?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 4\/9, -1141, 3, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 837?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 52 = 7*s. Calculate the greatest common factor of 1 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33676.8 to the nearest one hundred.\nAnswer: -33700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45 + 56. Solve -3*a = -5*j - 2*a - x, 3 = 3*a for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**5 - 2250*t**4 + 43570*t**3 + 111810*t**2 - 345320*t + 192192 = 0. What is t?\nAnswer: -1144, -4, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 3*w + 45225 = 45218, w + 3 = 4*g + 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 308\/71 - 3413\/1065. What is the common denominator of -97\/750 and a?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x**2. Let z(i) = -34*i**2 + i + 13. Calculate -6*b(m) - z(m).\nAnswer: 10*m**2 - m - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 201120201021002 (base 3) to base 9\nAnswer: 21521232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3645 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -421*d**3 - 3 - 412*d**3 - 419*d**3 + 3*d + 16*d**2 + 1256*d**3. Let b(n) = 7*n**3 + 31*n**2 + 5*n - 5. Give -3*b(u) + 5*p(u).\nAnswer: -u**3 - 13*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7487211*y**3 - 712*y**2 - 159*y + 5?\nAnswer: -44923266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -23310000 rounded to the nearest 1000000?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5797.\nAnswer: 11, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -4. Suppose -5*l = 6*x - 2*x - 12, x - 10 = -3*l. Suppose l*y - 291 - 325 = 0. What is the greatest common divisor of s and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2871 = 12*s - 2835 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(4\/(-3)))\/1. Suppose -5*w + 19 = 2*q, 5*w + 3*q + 0*q - 21 = 0. Calculate the lowest common multiple of w and (-10)\/f*(2 + -5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 688630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -13. Suppose -34 = -12*l + 26. Solve j + l = -2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -958, -1935, -2924, -3925, -4938?\n\"Answer: -6*s**2 - 959*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*g**2*w - 2*g**2 - 2*g*w - 15*g with respect to w.\nAnswer: -6*g**2 - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/10*(-205)\/492\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 1:24 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 9 (c) -1\/8 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) 5 (c) 388 (d) 179\/4 (e) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8177 + -5235. Let v = t + -1468. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(((-2532)\/(-1899))\/((-4)\/18))*6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = -59 - 22. Does 39 divide (-1 - 118)*-1 + (-11 - n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.35 take away 3938?\nAnswer: -3939.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 21*u**2 - 1699*u - 271. What is l(32)?\nAnswer: -367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-27) - 68\/189.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4074203 and 833.\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/260*-311 + 5. Let g(q) be the first derivative of -a*q**5 - 4\/13*q + 6\/13*q**3 - 5\/26*q**4 + 5\/13*q**2 - 1. Determine w so that g(w) = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -5*x - 133. Suppose -40 = 172*d + 5120. What is p(d)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14907 + -14875. Solve 2*n - 6*n = 4*j - y, -5*j = -4*n - 13 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/18*54\/108.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7446 (base 11) to base 4\nAnswer: -2121323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**2 + 5*p - 32. Give t(-9).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15661 + -15663. Which is the fourth biggest value? (a) 2 (b) g (c) -0.3 (d) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (22\/4)\/((-4)\/(-56)). Let i = -23 - -34. Calculate the greatest common divisor of f and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -13*q**3\/3 + 180. Let s(k) = -10*k**2. Determine s(w(v)).\nAnswer: -1690*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6318808*d - 2005648.\nAnswer: 6318808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14.926 + -15.2. Let t = s + 0.074. Let f = -6.1 - -1.1. Which is the smallest value? (a) t (b) f (c) 23 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -528, -830, -1132, -1434?\n\"Answer: -302*n - 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47827 is divided by 5895?\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3*a = h + 4, 2*h = -a - 2. Let j(z) = -404 + 276 - 39*z**3 + 127. What is j(h)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 27, 3, 5 in ascending order.\nAnswer: -3, 3, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 5. Let y = 3.9 - -1.1. What is the closest to k in 1\/2, 2\/11, y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 33 = -21. Let w be 7\/(9975\/(-8555)) + j. Is -1 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 4)*(-4*f + 4*f - f**2) + (2 - 2 - 1)*(0*f + 0*f + 5*f**2).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 6:08 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 14*r - 259. Find the third derivative of -r*f**5 - 441*f**3 + 25*f**2 + 441*f**3 wrt f.\nAnswer: -1200*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*-1031.\nAnswer: 41.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 768667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1751737\/48 + -36493. What is the common denominator of 57\/(-247) + (-795)\/(-572) and l?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from epepepepeppp. What is prob of picking 3 e?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**3\/4 - 167*s**2\/2 - 993*s\/4 = 0. Calculate s.\nAnswer: -331, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 3*u**4\/4 + 13*u**3 - 3*u**2\/2 - 39*u + 150. Factor p(v).\nAnswer: 3*(v - 1)*(v + 1)*(v + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.532423883 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2 = 0, j + o - 3*o = 8. Suppose 3*r - j + 0 = 0. Solve -r*f = -v - v + 8, 0 = 3*v + 4*f - 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43 + 47. Which is the biggest value? (a) 5 (b) -1 (c) u (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 712\/(-240) + 3 - (4 - 4\/400*395)?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -296*f**2 + 1070*f**2 - 9 - 4 + 13 as u*f**2 + p*f + r and give u.\nAnswer: 774","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -11 + 5 + 14 + u. Give o(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -156. List the prime factors of c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -g**2\/2 + 7. What is n(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -5*w - 3 + w + 2*w**3 - w**3 - 2*w**2. Calculate the remainder when (1 - -46) + (3 - 5 - -4) is divided by o(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/55 and -42\/1255067.\nAnswer: 6275335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -14. Suppose -3*r + c = -5, -2*w + 17 = 3*r. What are the prime factors of 51*(52\/12 - w)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ajjajokadoae. What is prob of picking 1 j, 1 k, and 1 a?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3053 divided by 43\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32113*p**2*t**3 + 144*p**2*t**2 + 70*p**2 + 11*t - 1256 wrt t?\nAnswer: 192678*p**2*t + 288*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(3\/5)*u*u**9)**(-28) assuming u is positive.\nAnswer: u**(-1764\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 139416398 - 0.4?\nAnswer: 139416397.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**4\/7 + 10336*m**3\/7 - 13333416*m**2\/7 - 53499168*m\/7 = 0. Calculate m.\nAnswer: -4, 0, 2586","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 9:05 AM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -449 or -469629\/1043?\nAnswer: -469629\/1043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 558 or -2233?\nAnswer: -2233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*k - 565968 - 298748 = 556180. What is the greatest common divisor of k and 192?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88754 is divided by 57?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3230620?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -410\/9 - -829\/18. Factor -2*k**4 + 0 - 2*k**2 + 3*k**3 + n*k + 1\/2*k**5.\nAnswer: k*(k - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9668 (base 10) to base 5.\nAnswer: -302133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14025241 (base 7) to base 16.\nAnswer: 13d92f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*n + 1067 = n for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 204 - 202. Suppose -8*o = -d*o - 6. Sort -5, -4, o, 8 in ascending order.\nAnswer: -5, -4, o, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3312 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 9*m**2 - 5*m + 17. Determine j(4).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 134.41 and 8037901350?\nAnswer: 8037901215.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56 + 60. Solve -16 = -3*z + w*i, -5 = -i + 6*i for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10020000 to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1053*f**3 - 17751*f**3 - 1394*f**3 + 0*f - 3840*f**3 - 2*f.\nAnswer: -21932*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -230571*c**2 - 147 - 74*c**3 + 230571*c**2 wrt c?\nAnswer: -222*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 5*y - 2. Suppose 9 = 5*n - 1. Let x be c(n). Suppose 5*m = l + 4*m - x, -5*m - 20 = 0. Solve -l*u + r = -u + 19, 13 = -5*u - 3*r for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -79*k**4*n**3 - 2*k**4 - 2*k**2*n**3 - 18*k**2*n**2 wrt k.\nAnswer: -1896*k*n**3 - 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m*t**3 + 7*m*t**2 + 2022*m*t + 740*t**3 - t**2 + t wrt t.\nAnswer: 6*m*t + 14*m + 4440*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 6:51 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j + 11*j - 11*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/3 - 3)*30. Let w be (19\/(-2))\/((-5)\/j). Suppose -4*s = -3*s - 4. Solve -5*f - l - w = 0, -f - 2*f - s*l = 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v = -49*v + 62752. What is the greatest common divisor of v and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66018 + 2*y - y - 33041 - 32960.\nAnswer: y + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13747147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 60942551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-3))\/((-18)\/(-27)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 a factor of 383906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 543260 and 105271?\nAnswer: 2486501020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4 = 0, -3*s + 0*s + z = -11. Let h(o) be the second derivative of o**5\/20 - 5*o**4\/12 + 7*o**2\/2 - 41*o. Give h(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 6:58 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q + 4. Let i be x(8). Let b = 39 + i. Calculate the smallest common multiple of 8 and b.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 16*l**5\/5 + 14*l + 4. Find the first derivative of t(d) wrt d.\nAnswer: 64*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 899537 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 7*c - 19. Let b be m(-10). Suppose -b*j = -16*j + 15. Solve -1 = -2*q + j*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (136\/(-85))\/(4\/(-280)). What is the greatest common divisor of b and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2878 + 2900. Solve 2*s + k = 4*w + 20, -5*w - 5 = -s for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16 + 15)\/(2\/(-8)). Let g be 0 + 1185\/(-4708) + 1\/k. Let l = g + -175349\/14124. Calculate the common denominator of 45\/8 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/105)*n)**(-3\/10)*n\/(n\/(n*(n**(2\/17)*n)\/n))*n**(-44)\/n assuming n is positive.\nAnswer: n**(-262851\/5950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3620 * 12.\nAnswer: -43440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-4*3*(-5 + sqrt(405)*-2 + 2 + 5)*-6.\nAnswer: -2592*sqrt(5) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -4.6. Let v = -227 - -226.5. What is the closest to v in 1\/4, -3\/8, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 184371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -2*s + 17 + 7, -21 = 2*z + 3*s. Let f be (-4)\/z + 30\/9. Differentiate -1 + 8 - 5 + 11*p**f + 8 wrt p.\nAnswer: 44*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1562557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - (-78)\/18 - (-12)\/(-9). Let l(f) = f**3 - 6*f**2 + 3*f + 5. Let z be l(6). Let v be 1\/(-3) + z\/69. What is the biggest value in v, w, 0.5, -1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9240 and 2552.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*((l**(-2\/3)*l)\/l)\/l*l*l)**(-7)\/((l\/(((l*l**(-1\/3))\/l)\/l))\/(l**6\/l)))**(-1\/28) assuming l is positive.\nAnswer: l**(5\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(190) + sqrt(190)*1*1 + (sqrt(190) + (sqrt(190) - sqrt(190)*-1))*6))\/((sqrt(250) - 1*-3*sqrt(250))*-3).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d + d**2 + d**2 + 5 - 3*d**2 - 12*d. Let i be q(-10). Let r be -2*(-3 - i\/(-6)). Is r at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.188*0.05.\nAnswer: -0.0094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of s**6\/120 - s**5\/60 - s**4\/12 + s**3\/2 + 2*s**2 - 42*s - 2. What is j(-3)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(220)\/sqrt(5)*3 + (4*sqrt(11)*-5*-2)**2.\nAnswer: 6*sqrt(11) + 17600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(sqrt(36)\/(sqrt(12)\/sqrt(2))))\/(((sqrt(396) - (sqrt(396) + 1*sqrt(396)) - sqrt(396)) + sqrt(396))*4 + sqrt(396)).\nAnswer: -sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20201 - 10010002111?\nAnswer: -10002211210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50466 and 1253239?\nAnswer: 7519434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/624536 and -19\/22748.\nAnswer: 6869896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 8*y**2 + 2*y - 2. Let g be 0\/(-2)*1\/(-3). Let c be g - (-8)\/(-1)*-1. What are the prime factors of f(c)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.74 - 0.25. Let p = x - -24.51. Are 0.1 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 977047?\nAnswer: 977047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9485795 - 2485795. Round z to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -372317 + 372317 - 191*t - 2*t - 3*t + 7*t + 0*t + 0*t + t + (-1 - 3 + 6)*(t + 3*t - 2*t) - 4*t + t + t.\nAnswer: -186*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41430 is divided by 7056.\nAnswer: 6150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jox. Give prob of picking 1 x and 1 j.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - c**2 + c - 2. Let q be l(-2). Suppose q*f - 3*f + 12 = 0. Let p = -4 + f. Solve 4*h - 6*h = p for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2255, 2236, 2217?\nAnswer: 2198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2909.265 millimeters in centimeters?\nAnswer: 290.9265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -230, -409, -542, -629?\nAnswer: -670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2369341310 to the nearest integer?\nAnswer: 48676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (116\/58*(-3)\/6)\/((-2)\/16)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 574 = 4*t - 1129, 0 = -4*t + 5*k + 1753. Let u be ((-2)\/t)\/((-22)\/(-4854)). Let a = 5\/72 - u. Find the common denominator of a and -16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1)\/w)**(15\/7)\/(w**1)**3)**(5\/11) assuming w is positive.\nAnswer: w**(-255\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -2. Let n = 187 + -186.9. Put n, 4, d in descending order.\nAnswer: 4, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2*j = 384, -4*j + 10 = v + 106. Is 16 a factor of ((-1139)\/51)\/(2\/v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8948 bigger than 8950?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.12 less than -259.24465648?\nAnswer: -263.36465648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 42*r + 7 - 1 - 2 wrt r?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 50*j**3\/21 + 46*j**2\/7 - 16*j\/7 + 308. Factor m(d).\nAnswer: 2*(d + 2)*(25*d - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2988.57 and 0.\nAnswer: 2988.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 92398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*t = -t - 233772. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -65*q**4 - 20*q**2 + 7*q + 7. Let s(c) = 33*c**4 + 11*c**2 - 4*c - 4. Let v(f) = 7*s(f) + 4*t(f). Find the third derivative of v(x) wrt x.\nAnswer: -696*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -18*o**2 - 2*o. Let h(k) = 73*k**2 + 9*k. Determine 9*a(z) + 2*h(z).\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112781, 112780, 112781, 112784, 112789, 112796, 112805?\nAnswer: 112816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -22) + -14 + (-6)\/(-3) + 5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (736\/(-207))\/32*-3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 3*l + 1319, 2*q + 4*l + 0*l - 536 = 0. Let f = q - 1072. What is f rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5740 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 112 - 16 = 0. Let c(d) = -8*d**3 + 2*d**2 + 7*d + 5. Let f be c(-1). What is the highest common factor of f and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 118 + -123. Let a(h) = -7*h**3 + 5*h**2 - h + 19. Let y(w) = 11*w**3 - 7*w**2 + w - 29. Let j(n) = f*y(n) - 8*a(n). Determine j(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 1. Let i be 2 - (2 + 0 + j). Suppose -i*l - 2 + 14 = 0. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 1:56 PM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -19.6, 238, -28, 0.02, 2\/7?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -155*i**4\/6 - i**3\/3 - 173*i**2. Let k(u) = -2*u. Give g(k(c)).\nAnswer: 1240*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 4*i**2 + 2*i + 5. Suppose -2*o = -3*n - 3, -3*n = -4*n - 1. Let k be 0\/2 + (-4 - o). Determine p(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -749 - -815. Let g be -3 - (-18)\/4 - 105\/w. Which is the third smallest value? (a) 0.14 (b) g (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 293*n**5 + 5527*n**2?\nAnswer: 17580*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + (-3)\/2)*6. Suppose q*m + 2 - 11 = 0. Suppose 0 = -3*y + 3*z, 0 = -m*y + 4*z - 4 + 1. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 divided by 35?\nAnswer: -39\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuddud. What is prob of picking 2 d and 2 u?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3829392 divided by -393?\nAnswer: -9744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 68 by 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 463407\/4 or 115853?\nAnswer: 463407\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyygyyyuhgggygyyygv. Give prob of picking 2 g.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -p**2 - 8*p - 1. Let t be o(-8). What is the common denominator of 174\/(-5)*2\/t and -109\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5 - 9 = 0. Let c be (o - -4)\/(12\/8). Is ((-4)\/(-5))\/(c\/1255) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 30*q**2 + 7*q + 41. Let m be j(-17). Suppose 4*s + m = 20*s. What are the prime factors of s?\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-60*m + 16*m + 41*m + 19)*(0*m + 5*m - 4*m) to the form c*m + h + d*m**2 and give c.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 19.7, 0.3, 4 in decreasing order.\nAnswer: 19.7, 4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/837 and 65\/2484?\nAnswer: 77004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4*u + 17. Let g = -106 - -108. Let c(m) = 1. Let l(b) = -b - 2. Let n(d) = 6*c(d) + l(d). Determine g*v(r) - 9*n(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 + -2.7. Let h = x + 2.19935. What is h rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3 = -g. Let a be g + 9999999 - 4\/(-2). What is a rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 356588 and -4.\nAnswer: -1426352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 1:49 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.011 smaller than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89 + -29. Suppose -f = 3*y + 102. Let s be (8\/24)\/((-2)\/y). Solve -3*k + 0 + s = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6075129164 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*f, 2*x - f - 110 = f. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*w + 740 = -508. Calculate the common denominator of ((-110)\/8)\/(819\/w) and 121\/12.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 199 = -2*n + 3*l, -2*l + 122 = n. Suppose 3*a + a = n. Suppose 3*w = 4*c - w - a, 24 = 4*c - 5*w. What is the remainder when 42 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(-2*k - k + 5*k) - 4*k + 2*k + k + k + 5 - 5 - 68*k + 31*k + 39*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-3) - ((-12)\/(-9) - 1). Suppose 0 = 4*u - u + 15, y = -3*x - 3*u + 1734. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-9) + (-3388)\/3. Let k = 629 + y. Round k to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4091222753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 297549.98 to the nearest 10000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 898739, 7189814, 24265575, 57518366, 112340531, 194124414, 308262359, 460146710?\n\"Answer: 898724*v**3 - v**2 + 10*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-106)\/(-8))\/(21\/12 - -1) and 89\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-2))\/(3\/(-30)). Let x = f - 3. Let v(d) = -d**3 - 25*d**2 - 24*d + 3. Let t be v(-24). Solve -x*q - 5 = -3*q, -4*r + t*q - 15 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of 1\/5*y**5 + 0 - 1\/10*y**6 - 2*y + 0*y**2 - 1\/3*y**3 + 1\/12*y**4. Factor n(x).\nAnswer: -x*(x - 1)**2*(3*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 24, 3258 in decreasing order.\nAnswer: 3258, 24, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 + 63. Calculate the highest common divisor of j and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*4\/(-90)*3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2643 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 8*i**2 + 26*i - 18. List the prime factors of y(-8).\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*n + 15*n - 8*n - 99 + 35 + 2*n**2 to the form q + z*n + g*n**2 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + v = 10, -5*i - 4*v + 22 = -3*v. Solve 0 = 2*x - i*x + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05595533 to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 91857149*v**5 + 2100*v**2 + 32311?\nAnswer: 5511428940*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 581324?\nAnswer: 2, 19, 7649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.141 + 8.141. Let k = -0.2 + 0.3. What is the closest to -2 in 0.3, s, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + o. Let u(p) = -20*p**2 - 2*p. Determine -2*c(g) - u(g).\nAnswer: 22*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 29*k**2 - 42. Let d(l) = -19*l**2 + 28. Give -8*d(a) - 5*x(a).\nAnswer: 7*a**2 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2. Let u be (-14)\/8*(-7 - (-1 - -2)). Let r(k) = -3*k**2 - 2*k + 2. Let a(x) = 10*x**2 + 7*x - 6. Let d(f) = u*r(f) + 4*a(f). Give d(j(h)).\nAnswer: -8*h**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 29112*m**2 - 249353 wrt m?\nAnswer: 58224*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-500)\/1450)\/(12\/(-696))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 160 = n, -3*a + 240 = 3*n + 2*n. Suppose 46*b - a = 42*b. Solve -b = 10*u - 5*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**2\/2 - 26*c + 53\/2 = 0.\nAnswer: -53, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of 5*p**2 + 0*p**5 + 0 + 0*p**6 + 1\/15*p**7 + 5\/2*p**3 + 0*p**4 + 0*p. What is the derivative of s(m) wrt m?\nAnswer: 56*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 43 = 4*b, 463 = -8470797*s + 8470820*s - 4*b for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3 + 15 = 4*q, 5*z = -4*q - 6. Let h = 7 + 3. Calculate the lowest common multiple of -1*q*-2 + (-1)\/1 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 - 665690*l**2.\nAnswer: -5*l**2*(l + 133138)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -20*p**4 + 4176108*p**3 - 43429860*p**2 + 104397668*p - 35077560 = 0.\nAnswer: 2\/5, 3, 7, 208795","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 276524 + 10727?\nAnswer: 307453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 672\/1853927 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5590*d**3 - 3960*d + 3960*d.\nAnswer: -5590*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 891111329?\nAnswer: 891111329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -775 divided by -8464\nAnswer: 775\/8464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -2 + (51484\/10 - 14\/35)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11211 is divided by 3722.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7543451 litres to millilitres.\nAnswer: 754.3451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 898882 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + h + 1. Let z be -18*-11*6\/297. Let a be 9*1\/9*3. Let k(x) = x - a*x + 0*x - 3*x**2 + 0 - 2. Determine z*p(s) + k(s).\nAnswer: s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 462*v + 1791 + 6525 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21\/8 in 2\/53, -0.5, -5, -1\/9?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -1 (b) 2\/25 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.09 at most as big as 402706?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 284993149?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27712636036 + -27712637136.99997556. Let l = 1101 + z. Round l to six decimal places.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5944 and 12?\nAnswer: 17832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**2. Let d(g) = 150059*g - 21. Calculate d(p(z)).\nAnswer: -300118*z**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -568\/5, -1\/5, -1, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2521 - 768*f**4 - 756*f**4 - 4588 wrt f?\nAnswer: -6096*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 <= -8311\/2875?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 566 - 419. What is the greatest common factor of 168 and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x - 2. Let f(d) = -665*d**3 + 5*d**2 - 20*d + 45. Let l(s) = f(s) + 20*i(s). Find the third derivative of l(g) wrt g.\nAnswer: -3990","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-21) - 1\/14*74\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -4*d - 20, 0 = 182*m - 186*m - 2*d - 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 12*n + 29. Let y be s(-9). Which is the third smallest value? (a) y (b) -0.3 (c) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5499, 13124, 20753, 28392, 36047?\n\"Answer: y**3 - 4*y**2 + 7630*y - 2128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 102*m - 104*m + 38722. Suppose 3*t = 2*o + 19369, 6*t - 9*t + 4*o = -m. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2307 + -2291. Solve 0 = -2*k + 10*k - f for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 - 45. Suppose -137 = -97*o - 40*o. Put g, -18, -12, o in descending order.\nAnswer: o, g, -12, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) -1\/5 (c) 216 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 6947*z**2 - 6950*z**2 + 1 - 2*z**3 + 259*z + 0*z**3 as y*z + x*z**2 + l + c*z**3 and give y.\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z + 2 + 5*z - 3*z + 3*z.\nAnswer: 7*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 141 - 70 + 38*f + 249*f - 71. Let u(l) = 3*l. What is x(u(k))?\nAnswer: 861*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001069 to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3659071?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 58*d = -53*d + 2, 4*b - 1 = -3*d for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by 118?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3462878159.\nAnswer: 13, 4967, 53629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -447331, -447334, -447327, -447304, -447259?\n\"Answer: t**3 - t**2 - 7*t - 447324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -315*g = -310*g + 420. Let w = g + 87. Find t, given that -2\/9*t**2 + 8\/9*t - 8\/9*t**w + 0 + 2\/9*t**4 = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 4*p + 23*p - 2054 = 0. What is the remainder when 473 is divided by p?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1276715497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2060 divided by 10?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.26 - -1.21. Let q = g - 1.0195. What is q rounded to 3 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 246925, -44 in descending order.\nAnswer: 246925, 1, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1324*t**3 + t**2*y**2 + t*y - 56*y**2 - 2*y - 1 wrt t?\nAnswer: 3972*t**2 + 2*t*y**2 + y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -130*j**3*n**2 + j**3*n*u + 9*j**2*n**3*u + 4*j**2*n**3 + 3*j**2*u wrt u?\nAnswer: j**3*n + 9*j**2*n**3 + 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1715) + sqrt(1715) + sqrt(1715)*1 + sqrt(1715))*-1 + sqrt(1715))\/(-1*sqrt(80)*-4).\nAnswer: -21*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - a + 3. Let t be c(0). Let z be 15*(-4)\/(-6) + (t - 1). Suppose -10*f = -8*f - z. Calculate the least common multiple of f and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54043 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 79*g**2 + 12*g + 120. What is the ten thousands digit of t(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 265482 and 2016.\nAnswer: 4247712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u**3 + 2*u**3 - u**2 + 2*u**4 + 4*u - 2*u**3 - 5*u**3 in the form b*u**2 + a*u**3 + c*u + g + v*u**4 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2471704647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/5*a**3 - 128\/5 + 24\/5*a**2 + 64\/5*a + 2\/5*a**4.\nAnswer: 2*(a - 4)**2*(a - 2)*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126 and 288?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -x**7\/280 - x**5\/60 - x**3 - 2. Let j(k) be the third derivative of g(k). Find the second derivative of j(i) wrt i.\nAnswer: -18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z**3 - 17*z**2 + 7*z + 3. Let c(b) be the third derivative of -b**6\/40 - 11*b**5\/60 + 5*b**4\/24 + b**3\/3 - 10629*b**2. Calculate -7*c(h) + 5*f(h).\nAnswer: h**3 - 8*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 4 + 36. Let n(b) = -b - 12. What is n(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-18\/11)*(c*c**(3\/4))\/c)**(6\/17) assuming c is positive.\nAnswer: c**(-117\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2047*k + 334*k - 30534 = 715*k - 247*k for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 13094 + 11845 = 0. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(57)\/(sqrt(3) - -2*sqrt(3)) + -4)*1*-3)**2.\nAnswer: -24*sqrt(19) + 163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41 + 4*h - 3*h - 28)*(-3*h + 5 - 5).\nAnswer: -3*h**2 - 39*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 9.7. Let j = s - -2.5. Let q = 9 + -9.1. Which is the nearest to q? (a) 2 (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5938629 is divided by 116?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(4900) - (sqrt(4900) + 5*(2*sqrt(4900) + sqrt(4900)))) + sqrt(4900))*-3)\/(-3*sqrt(63) + sqrt(63)*2))**2.\nAnswer: 137200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2)\/m*m\/(m*(m\/m**(-1\/8))\/m)*(m\/(m*m\/m**0))**1)**20)**(-9) assuming m is positive.\nAnswer: m**(1485\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 0.5, -8, -132?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12319 - -12317. Let j(d) = 23*d**2 + 11*d - 26. Let s(f) = 8*f**2 + 4*f - 9. Let l(t) = 6*j(t) - 17*s(t). Calculate l(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*p - 3)*(10*p + 32164 - 15758 - 16153).\nAnswer: -20*p**2 - 506*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3239 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -95, -195, -355, -593?\nAnswer: -927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**3 - 4*j**2 - 10*j - 6. Let t(r) = -8*r**3 - 26*r**2 - 41*r - 24. Calculate -9*o(n) + 2*t(n).\nAnswer: 2*n**3 - 16*n**2 + 8*n + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of 5*v**7\/42 - 11*v**6\/3 - 251*v**5\/12 + 535*v**4\/12 + 100*v**3 - 25*v**2 + 5. Determine y, given that m(y) = 0.\nAnswer: -3, -2\/5, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**30)**17\/(k**(-17)*k)**(-13\/3) assuming k is positive.\nAnswer: k**(1373\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 11*i**2 + 24. Suppose -13*t + 35 = 178. Let f be m(t). Suppose 37*g - 39*g + f = 0. Solve -4*z - 4*w + g = 0, 0*z + z + 5*w - 3 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1053) - (2 + sqrt(1053) + 2 + sqrt(1053))) - (-2 + sqrt(1053) + 3)*-1)**2.\nAnswer: 936*sqrt(13) + 17017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 x, and 1 t when three letters picked without replacement from {t: 9, x: 2, g: 2}.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*t - 2 + 132*t + 9.\nAnswer: 181*t + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51 or 43731\/878?\nAnswer: 43731\/878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1899802?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*w + 140*m - 142*m, 0 = 3*w + 4*m + 9. Let v(b) = 4*b**2 + 5*b + 1. What is v(w)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -43*a**3 - a**2 + 1. Let o be w(-1). Suppose 173 = 2*x + o. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 9:25 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24.341 - -0.159. Let d = c + -19.5. What is the third biggest value in d, 0.05, 4, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4577*z**4 + 36762 - 2*z - 36762 + (z - 2*z - z)*(z - z**3 - z) to the form o*z + w*z**2 + b*z**3 + k + i*z**4 and give i.\nAnswer: 4579","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 3*u + 16. Calculate c(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4*q**3 + 4830*q**2 - 2240*q - 210035. Calculate n(1207).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of 2 + 0*z**2 - 9*z - 11\/3*z**3. What is the first derivative of f(y) wrt y?\nAnswer: -22*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9285631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1585+631127169\nAnswer: 631128754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6761294 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 369252 and 3156.\nAnswer: 369252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 7*m - 7. Suppose f = 3*g, -3*g = f + 2*f + 36. Is n(f) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -115391903*t**3 - 124744334*t.\nAnswer: -692351418*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 142\/10 - 22\/110. Suppose 0 = -q*k + 8*k + 36. Solve l + 4*s = 2*l + 18, -5*l = s + k for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1941223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 6*r**5 - 31*r**4 - 20*r**3 + 17*r**2 = 0.\nAnswer: -1, 0, 1\/2, 17\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - ((sqrt(187) - -1*sqrt(187) - sqrt(187))*-3 - sqrt(187)))\/(sqrt(1584)*-2 + sqrt(11))*3 + 2)**2.\nAnswer: -60*sqrt(17)\/23 + 5941\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**3 - 44799*h**2 - 358262*h + 20. Determine b(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c - 7. Let n be s(-4). Let g be (-15)\/20 - n\/(-12). Put -4, g, 1 in increasing order.\nAnswer: -4, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -57 - 7618734?\nAnswer: -7618802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m + 1. Let u(n) = 8 + 9 + 4*n - 15. What is u(l) - 2*z(l)?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 128715?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(133) + sqrt(133)*1))\/(sqrt(7) + (1*sqrt(448) - sqrt(448)))*-5 + -3.\nAnswer: -3 + 50*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4159 - b2c?\nAnswer: -4c88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19623\/4 + 4689865\/956. Do 0.1 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.13, -2, 1\/6, 62.12, -4\/5 in descending order.\nAnswer: 62.12, 1\/6, 0.13, -4\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 u when four letters picked without replacement from {e: 3, u: 6, v: 6}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 7*t**2 - 4*t + 7. Suppose 3*f = 67*j - 69*j + 25, 5*f = -j + 30. Calculate z(f).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -5*l - 4*s, -5*l = s - 5*s + 25 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 62.55285579 to 3 decimal places.\nAnswer: 62.553","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14760*y**2 - y - 1293.\nAnswer: -29520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.9 + 3. Which is the closest to n? (a) -0.1 (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 9*w + 10. Let x be q(8). Let n = 0.6 - 0.8. Which is greater: x or n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 12 = 4*g, 3*n - 18 = -2*g + 4. Suppose -15 + g = 5*u, -5*u - 2 = 2*c. Solve -c*w - 3*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5210460 and 2025?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 17326.4 * 26\nAnswer: 450486.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4 - 564\/(-27))*1\/(-4) and 101\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1791 times -0.07\nAnswer: -125.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14.2 - 6.6. Let l = -0.6 + v. Let t = 6.99933 - l. Round t to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 2. Suppose q*r + 4*r = 0. Let i be (-1 + 0)\/1*r. Solve t = -4*z - 7, -5*t - 5*z + i - 5 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 37\/395? (a) -1\/3 (b) 4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 8192667.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**3 + 3161*k**2 - 28516*k + 44380 = 0?\nAnswer: -3170, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 78*m - 1632. Determine x(97).\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 478804 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/20 and 133\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7255 + -7213.068. Let m = y - -0.068. Let o = m - 38. Which is the third biggest value? (a) o (b) -1 (c) 1 (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 25. Let w = n + 12. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5*z + 23 = 0, p - 4*z - 8 + 21 = 0. Suppose 2*b - h - 296 - 113 = 0, -h = -p. Suppose -2*q = -4*n + 144, -5*n - 3*q = q - b. Is 14 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o - 3. Let t(b) = 18*b - 4. Let s(i) = i + 1. Let n(a) = -12*s(a) + t(a). Suppose -y = 3, -6*m - 3*y - 89 = -m. Give m*k(g) + 3*n(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/6 and -1\/4006318.\nAnswer: 12018954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69 and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/168)\/((-3)\/8).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - a**2 + a + 1. Let g(c) = -5*c**2 + 1 + 3 + 5*c - 278*c**3 + 1 + 0*c**2 + 285*c**3. Determine -5*f(u) + g(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 5\/232 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 28. Let j = u - -245. What are the prime factors of j?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*z**3 - 12 - 27*z**3 + 12.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v + 8. Let g(t) = t**2. What is h(g(x))?\nAnswer: x**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44444 divided by -15.\nAnswer: 44444\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2 = -2*l, 2*f + 406 = 2*l + 408. Let b = 270\/19 + -4993\/342. Which is smaller: f or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 153 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t. Suppose 29*k + 5*k - 64*k + 180 = 0. Let a(d) be the second derivative of 61\/6*d**3 - k*d + 0*d**2 + 0. Give a(q(p)).\nAnswer: -122*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85*k**2 - 9*k - 132*k**2 + 62 + 45*k**2 to l*k + c*k**2 + d and give d.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -88089092 divided by -6916\nAnswer: 12737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*o - 19 + 19 + (o - 1 + 1)*(-2 - 1 + 1) + 76 + o + o - 80 + 2 + o + 0 + 0*o + (-1 - 2*o + 1)*(1 + 2 - 2) to the form n + l*o and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (1 + -5 - (0 - 3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -4*l + l + 5*b, 0 = 4*l - 4*b + 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*12\/16)\/((-576)\/(-192)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1125)\/1080 - 34\/(-51)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 2101?\nAnswer: 2103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222550 (base 6) to base 12.\nAnswer: aa56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 6*o - o - 107, 0 = 2*o - 3*i - 29. Let m = 10 - o. Let n be (6\/9)\/((-2)\/m). Solve -3*h + 7 = -y - h, 2*h = n*y + 13 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 59*k*n**4 + 2*k*n**3 + 4*k*n**2 - 3*k*n - 462*k - 63*n**4 - n**3 wrt n?\nAnswer: 1416*k*n + 12*k - 1512*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -k**4\/12 + k**2\/2 + k. Suppose -4*v = -1 - 3. Let n be p(v). Put -3, 5, n in ascending order.\nAnswer: -3, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 3366 = -58*z. What is the smallest common multiple of 6 and z?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (-16 + (14 - -1)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*w - 40127 = -499885. List the prime factors of w.\nAnswer: 17683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27657, 110630, 248921, 442530, 691457, 995702, 1355265?\nAnswer: 1770146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 - 64. Let f = -72.4 + 91. Let q = y + f. Round q to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -405177 - -5?\nAnswer: -405172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**6\/(h*h*h**(8\/9)*h*h)*h*h**(1\/7)*h**(-14) assuming h is positive.\nAnswer: h**(-740\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (226 + -206 - (2 + 28)) - -15?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, a: 2, u: 1, n: 1, h: 3, g: 3}. Give prob of sequence ha.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 8*c + 11. Let g be o(9). Suppose -5*x + 105 = 5*h, -x = -g*x - 3*h + 19. Calculate the highest common divisor of x and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (23800\/(-462))\/(-10) + (-2)\/(-11)?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 - 50 = -s. Does 41 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 287136*w. Let f(m) = 3*m**2. Determine r(f(b)).\nAnswer: 861408*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -10.7 and -2240.\nAnswer: -2250.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*a - 842 = -58*a + n, -a - 2*n = -827. What are the prime factors of a?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**4 + 2*c**4 + 0*c + c**2 - 3*c in the form q*c**3 + u*c**2 + m*c + h + n*c**4 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (41 - 19) + 26 + -45 - -75.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*r + 48*r + 7548 - 164 = 10*r for r.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 289 and 1213800?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 15 = 39. Suppose 134 = g*c - 250. Does 36 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of 1\/420*i**7 + 1\/240*i**6 + 0 + 3*i**2 + 0*i - 1\/6*i**3 - 1\/40*i**5 - 5\/48*i**4. What is z in k(z) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -91.63 and 69?\nAnswer: 160.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1368 divided by 2.\nAnswer: -684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**2 - 6 + 21\/2*j - 3\/2*j**3 = 0. What is j?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(11 - (-2 - -4)). Let t be (9\/6)\/(p\/4). Let y = -0.1 + 0.3. Sort t, -3\/4, y.\nAnswer: -3\/4, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/372 and -109\/3036.\nAnswer: 94116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26557698?\nAnswer: 2, 3, 4426283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 33902 divided by 23\nAnswer: 1474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.03 + 3.03. Let a = 10\/7 + -27\/14. Let c = -13426 - -26853\/2. What is the smallest value in 5, a, c, r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87991 is divided by 17598?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**3 + 15*i**3 + 5*i**3 + (0*i**3 - 2*i**3 + i**3)*(2 - 1 + 2) + 5 - 5 - 11*i**3.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5494696038?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**2 + 2*d**3 + 3 + 0*d + 2*d - 3*d**2 - 4*d**3 to l*d**2 + t*d**3 + w*d + j and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 5. Let x be (-172)\/(-22) - 2\/m. Let n be 34\/x + (-3)\/12. Which is smaller: 2 or n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - -11. Let m = 20 + n. Suppose -56 = -m*a - 2*a. Calculate the remainder when 11 is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 262999994 = 11*q - 2*r, -52599994 = q - 2*r. What is q rounded to the nearest one million?\nAnswer: -53000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2141360 to the power of 1\/3, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 207\/22?\nAnswer: 207\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l**7\/l)\/l)*l*l)**(1\/2)\/(l**12\/(l**(-29)\/l*l)) assuming l is positive.\nAnswer: l**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/18)\/((-59)\/(-10974))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -114, -325, -642, -1071?\nAnswer: -1618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -427.6 + 428.5. Let a be (1\/(-7))\/(1\/(-3)). Sort l, -0.3, -0.2, a in increasing order.\nAnswer: -0.3, -0.2, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, w: 5, k: 1, z: 1, x: 3, q: 1}. Give prob of sequence qk.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 415413.9 grams in tonnes?\nAnswer: 0.4154139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -7*t**2 - 8576*t + 42987. What is o(5)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -923715 at least as big as -923717?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15096*a**3 - 39012 wrt a.\nAnswer: -45288*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 5:29 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 793043 divided by 1\nAnswer: 793043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 7*v + 4)*(-6*v**2 + 0*v**2 + 4*v**2) - 2 - 8*v**3 + 15*v**3 + 1.\nAnswer: 21*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1325 by 1.\nAnswer: 1325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -98078 in 0.28, -16, 1\/3, -0.4?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 14*x + 17. Let p be b(15). Suppose 3*n - 25 = 2*c, -30 = 3*c - 4*n + n. Sort c, p, -4, -3 in ascending order.\nAnswer: c, -4, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 1c5c517?\nAnswer: -1c5c516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p**5 + 70*p**4 + 85*p**3 + 30*p**2 = 0. What is p?\nAnswer: -3, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -260 - -262. Let b(p) = p + 1. Let u(h) = 1. Let i(z) = -z + z - 1 + z. Let f(j) = i(j) + u(j). Determine g*f(v) - b(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**4 + 8*h**3 + 4*h**2 - 8*h - 2. Let n(p) = -p**4 + 7*p**3 + 3*p**2 - 7*p - 2. Let r(w) = -3*d(w) + 4*n(w). Find c such that r(c) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 8. Suppose -4*j + 17 = 4*m - 111, 2*j - 61 = -m. Calculate the remainder when j is divided by p(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 440, 1692, 3780, 6704?\nAnswer: 10464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -16705, -16728, -16775, -16852, -16965, -17120, -17323?\n\"Answer: -i**3 - 6*i**2 + 2*i - 16700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 44*18\/(-72) - 162\/(-15). Put -2, h, -119\/4 in ascending order.\nAnswer: -119\/4, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10430, 37683, 81806, 142799, 220662?\nAnswer: 315395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 8*r**2 - 19*r + 25. Determine h(7).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.14*3\nAnswer: 0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/315 and 16\/699?\nAnswer: 73395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 136*s**2 + 138*s. Let u(m) = -129*m - 4*m**2 - 138*m - 87*m**2 + 175*m. Let r(x) = 8*u(x) + 5*y(x). Find the second derivative of r(z) wrt z.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/9612 and -109\/1068.\nAnswer: 9612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -645506*n**5 + 2911716*n?\nAnswer: -12910120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, z: 1, y: 1, r: 1, x: 1}. Give prob of picking 2 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.7027576 milliseconds to minutes.\nAnswer: 0.00004504596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 142.861 and 144.\nAnswer: 20571.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.2, 3\/20, -16?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5553.\nAnswer: 3, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + d - 3. Let c be b(-3). Suppose 5*q - 36 = c*q. Calculate the remainder when q is divided by (16\/(-4))\/16 - 42\/(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or 0.61?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-9)*2\/14*1463\/19855\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 10, 12 in descending order.\nAnswer: 12, 10, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -1168a?\nAnswer: 11686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 30881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6353 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1356335?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**5\/2 + z**4 - 4*z**3.\nAnswer: z**3*(z - 2)*(z + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 837*h - 69. Let r be o(5). Calculate the highest common divisor of 28 and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)*1 + -5 + (sqrt(112)*-2)**2.\nAnswer: 2*sqrt(7) + 443","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 302943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*h**2\/3 - 42382*h\/3 - 6360.\nAnswer: 2*(h - 1060)*(20*h + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 82083307?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r. Let c be 9\/2 + (-5)\/(-10). Let o = -3 + c. Let h(d) = 0 + 3*d**o - 2*d**2 + 0. Calculate h(l(b)).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**5\/4 - 139*s**4 - 553*s**3 - 552*s**2 = 0?\nAnswer: -552, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u**4 + 273*u**3 + 273*u**2 - 528*u = 0. What is u?\nAnswer: -11\/6, 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 274, 1170, 2694, 4846, 7626, 11034, 15070?\nAnswer: 19734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -9*t - 15. Let q(u) = u - 3. Let d be -1*(2 + 2 + -3). Let w be q(d). Let z be n(w). What is the highest common divisor of 147 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13 + (6\/3)\/(4\/(-8)). Let f be y\/12*40\/15. Let p = -31 - -33. Solve 5*s - j - 8 = 0, -s + f*j + p*j - 6 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 25*y + 352726 = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 23, 0.082, -2\/9?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -29345 and -5.\nAnswer: 146725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (1 + (-12)\/13)\/(418\/836)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.1 - 2.1. Which is bigger: z or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 119 and 85008?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6943, -13886, -20827, -27766, -34703?\nAnswer: -41638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**0)**(5\/4) assuming s is positive.\nAnswer: s**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15 and -27131.6.\nAnswer: -406974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**(31\/5)*z*z)\/z**27)\/(((z**5\/z)\/z*z)\/(z\/(z*z**(11\/4))*z)) assuming z is positive.\nAnswer: z**(-699\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qbibimvv. What is prob of picking 2 i and 1 b?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.9 + 5.8. Let u = 4.13 - 0.23. Let f = u - y. Which is the second smallest value? (a) 2\/11 (b) 5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 506945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 142875\/146756 + 1\/7724. Calculate the common denominator of -23\/20 and r.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 3:16 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -178, 1 in descending order.\nAnswer: 4, 1, -178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3.1 (b) -0.09 (c) -1 (d) -4\/7 (e) -18 (f) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 256579.7 millimeters?\nAnswer: 256579700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in -5\/964, 2, 1\/2?\nAnswer: -5\/964","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -2, 164 in decreasing order.\nAnswer: 164, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 164278 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1993 (b) -4 (c) 0.09 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rvrjrvgvajj. What is prob of sequence rrv?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eezeezeeeeezee. Give prob of picking 1 z and 1 e.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 517 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**4 + 10412*i**3 + 9030672*i**2 + 2606847040*i - 2615888128 = 0. What is i?\nAnswer: -868, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.42 + -2.42. Which is the smallest value? (a) n (b) 0.4 (c) 5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1023121103 + -44?\nAnswer: 1023121004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 42\/4505 and 18\/9911.\nAnswer: 49555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 81185 at most as big as 1.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -62, -72, -82, -92?\n\"Answer: -10*x - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -171859 or -7389928\/43?\nAnswer: -171859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 6*c - 162 = 0. Let w = c + -32. Is w a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a1 + -98330?\nAnswer: -98401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w**3 + 3*w**2 + 8*w - 3. Let t(v) = -7*v**3 - 5*v**2 - 15*v + 5. Let y be (9\/(-15))\/(36\/30 - 1). Determine y*t(x) - 5*q(x).\nAnswer: x**3 + 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4*p + 64 = 0, 2*d - 5*p - 33 = -4*p. Let x(v) = 2 - 5 - d*v + 13*v + 2. Calculate x(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9597 at most -9596?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**2 + d**2 + 2*d**2)*(-3*d + 7*d - 7*d)*(-3*d - 2*d + 3*d).\nAnswer: -6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1379 + 8573 = 8*q. Suppose -q + 222 = -7*l. Does 21 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -452*p + 5*p + 1788 = 0. Solve 5 = -l + p*x, -14*l - 4*x = -17*l - 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29481.370397 take away 0.4?\nAnswer: 29480.970397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*f + 24*f - 4517 = 0. Let k = f + -17969\/4. Find the common denominator of k and ((-3)\/10)\/((-1)\/27).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*n - 126 = 128*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/20 and 3\/(-6)*(-5)\/115*67.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0, 11, -0.42, 2, 1, -37\/6 in descending order.\nAnswer: 11, 2, 1, 0.1, 0, -0.42, -37\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39.7*0.3.\nAnswer: -11.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5103956*u**3 - 11911588*u wrt u.\nAnswer: -30623736*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-697)\/(-5) + (-40)\/100?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4*t**2. Let c(m) = 2*m + 4*m - 3*m. Calculate c(p(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 63 - -71. Let k = 134.000219 - a. What is k rounded to 5 dps?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 r when two letters picked without replacement from {x: 5, k: 3, f: 1, r: 7}.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 7635*o + 503913. Determine g(-66).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sxcu when four letters picked without replacement from uxsucuc?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + -4 + (0 - -4))*-5419. Differentiate -r - 10*m + 5357 - 19*m with respect to m.\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h. Let v be u(-5). Suppose 12*c + 8 = v*c. Is (-2 - (-2)\/c)*3768\/(-20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.371 + 0.871. What is the second biggest value in 1\/41, 2, k, -13?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 greater than -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 457537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 7*y**3 + 7*y**2 + 10*y + 4. Let f(k) = -11*k**3 - 10*k**2 - 15*k - 6. Let c(w) = -5*f(w) - 8*q(w). Is c(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 4. Let q be -1 - l - (-1)\/(-1). Let c = 0 + -3. Sort q, 5, c in descending order.\nAnswer: 5, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -5*w - 2. Is p(-17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 128346 - 128374 = 32*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-96*x - 1658 + 1658)*(-48 + 18*x + 48)*(0*x + 0*x + 4*x).\nAnswer: -6912*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 44162 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 21 + 22 = -p, -p = -3*x + 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + (-1 - (-24)\/20). Let n = -8 - -9. Which is the smallest value? (a) n (b) x (c) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**4 + 1096*h**3 - 78864*h**2 - 1168544*h + 209618816.\nAnswer: -4*(h - 106)**3*(h + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10533701.23 + -102.7.\nAnswer: 10533598.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1546)\/14 - (10\/(-7) + 1). Calculate the common denominator of (k\/(-52) - 0)*-2 and 21\/2.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(363)*-1 + -3)*2 - (-1 + -5 + 3 + sqrt(363)))**2.\nAnswer: -19656 - 1188*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2690.\nAnswer: 2, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -288 divided by 24.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -9*x - 18. Let t(q) = 3*q + 4 + 4 - 2. Let l(f) = 6*p(f) + 17*t(f). Let a(u) = -u**2 + u + 1. Let k be a(3). Give l(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/20)\/((-3)\/18*(-12)\/5)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10493\/13 + (132\/143)\/(-6). Round v to the nearest ten.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 198140 + -198179. Let j = 248\/3 - 82. What is the fourth smallest value in t, -2, 5, j?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63862513 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2410 is divided by 127.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 244824337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -2 (c) 45 (d) -5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 3*k - 3*k)*(18*k - 12*k - 12*k)*(2*k - 21*k**2 + 20*k**2 - 2 + 0).\nAnswer: -6*k**4 + 12*k**3 - 12*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1134269096 - -1134269100.79999819. Let m = g + -4.8. What is m rounded to 7 dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-2425594\nAnswer: -242559.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5098)\/(-14 - (-3372)\/240). Round w to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 146, 107, 30, -91, -262, -489, -778?\n\"Answer: -l**3 - 13*l**2 + 7*l + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 306, 562, 774, 918, 970, 906?\nAnswer: 702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 4:59 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(165)*1)\/(sqrt(99)*2))\/((sqrt(330)\/(sqrt(44)\/sqrt(4)))\/(sqrt(50)\/sqrt(125))))**2.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1110 + -120. What are the prime factors of (-2)\/((-12)\/9449) + (-205)\/w?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*x = -93955 + 93539 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2048029154?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 637?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*k + 15, 0*p = k - p - 5. Let c be 6\/4*k - 2. Let o(z) = -20*z - 18. Let h be o(-1). Solve -c*w + h*w = 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17350 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: Express -3*f + 9*f - 8*f - 11*f in the form q*f + z and give q.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*u - 4 = -d - 22*u, 0 = d + u - 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*b + 90*b + 2980 = 0. Let t = 1093 - b. Does 4 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 22.9132095 and 0.5.\nAnswer: 23.4132095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.6 + 2.2. Round j to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22423*b - 22423*b - 6*b**2.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/16378448 and -17\/10.\nAnswer: 81892240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34\/(-204))\/((-2)\/(-4))*144\/(-400).\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t - 2. Let f(q) = 6*q. Give r(f(o)).\nAnswer: -12*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2787 is divided by 62.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 95800 to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + -2 - (-6 + -2). Let s(q) = 11*q + 6. Suppose -5*l = 62 - 167. What is the remainder when s(o) is divided by l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.15611 and 0.3.\nAnswer: -0.046833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.28 + -0.08. Let m = -81691\/1270 + 643\/10. Let y = m + -221\/1397. Which is the smallest value? (a) l (b) -4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -1023*i - 994. What is the units digit of y(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.5 + 4.8. Which is bigger: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/((-50)\/(-8))*570\/12. Let z(f) = -f**3 - 37*f**2 + 25*f - 11. What is the units digit of z(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -22. Let q = 25 - 9. Let n = q - b. Put 4, 1, -4\/9, n in ascending order.\nAnswer: n, -4\/9, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b*z**4 - 2*b*z**3 - 5*b + 2*z**4 - 1865*z**3 - 1410*z**2 + 8 wrt z.\nAnswer: 48*b*z - 12*b + 48*z - 11190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/2)\/2*0\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2611 (base 12) in base 10?\nAnswer: 4333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7983 (base 14) to base 13\nAnswer: -97a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 t when two letters picked without replacement from tnq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2 + 2567 - 2567. Let q(u) = u**2 - 2*u. Let z be q(3). Let m(p) = z*p**2 - p**2 - 3*p**2. Calculate j(m(h)).\nAnswer: 2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18a3 + 3?\nAnswer: -18a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**2\/5 - 482*v\/5 - 25596\/5 = 0. Calculate v.\nAnswer: -162, -79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 110*(-2 + 4*(-38)\/(-16)). Suppose -r = -5*t - h + 3*h, 0 = t - 3*h - 165. What is the remainder when t is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of 0*x**3 + 0*x + 1\/4*x**4 + 0 - 1\/30*x**5 + 7*x**2. Suppose l(j) = 0. What is j?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1163518?\nAnswer: 2, 107, 5437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence njn when three letters picked without replacement from nnnnnnjnnnj?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*s**5*u**3 + 4439*s**5 + 23*s**2*u**3 + 487*s**2 wrt s.\nAnswer: -1380*s**2*u**3 + 266340*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - (-33)\/(-9))*(-6)\/(-14). What is the nearest to m in -0.4, -0.3, 9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0712 - 0.0288. What is the closest to 0.1 in -0.6, 4\/3, h, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 12 = 2*h, -3*h - 10 = -5*h. Let g(w) = w**3 + 1. Let p(v) = -3*v**3 - 12*v**2 - 3*v + 6. Let f(m) = s*p(m) - 6*g(m). Factor f(n).\nAnswer: -3*(n - 4)*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 5*l - 20. Let y = 3 + l. Is 16 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6309, -6306, -6305, -6306, -6309, -6314, -6321?\n\"Answer: -p**2 + 6*p - 6314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21122*a**4 + 2*a**3 + 35553*a**2 wrt a.\nAnswer: -506928*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*1533.\nAnswer: 3066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -474 < -81657?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2285122 and 2296?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 79 - 78. What is the second derivative of -7*r - 8*r**4 + c - 35*r - 3*r**3 + 10*r - 43*r wrt r?\nAnswer: -96*r**2 - 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -165*t**4 + 475*t**3 - 270*t**2 - 40*t = 0.\nAnswer: -4\/33, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/18 in -2\/33, 482, 0.5, 1?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -24*h**2. Let x be (-3)\/(2\/(-8) + 77\/196). Let w be (x\/14)\/((-3)\/17600). Let i(c) = 8800 - w - c. Give i(b(y)).\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g**2 - 2*g**2 + 9*g**2 - 10*g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 6 = -0. Let o(p) = 2 - i + 6*p - 3*p. Let r(h) = -2*h**2. Calculate o(r(n)).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 142\/(-340) + (-15)\/(-50)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mic when three letters picked without replacement from iccciccmcccimi.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 12:22 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 17680 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 c, and 1 i when three letters picked without replacement from ogcijoo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -5*p + 3*v - 17, 2*p + 2 = -v for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 4*g**2 - 6*g + 4. Suppose 0 = 4*k - 0*k - 20. Let v be h(k). Let p = 0.21 + 0.09. Which is the biggest value? (a) 3 (b) v (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*d = 85*d - 22. Suppose -4568 = d*u + 1174. Is u equal to -260?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4\/3 + 1. Let v be (-4)\/8 - 29\/2. Let r be (v\/(-36))\/(2\/8). What is the closest to y in -3, r, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2487781130 to the nearest integer?\nAnswer: 1355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 + 6*y - 7. Let w(p) = 5*p + 28. Let c be w(-9). Let v(i) = i**2 + 16*i - 23. Let t be v(c). What is x(t)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/2)\/n)\/(n**(-1\/9)\/n*n)*(n**(2\/9))**(20\/7) assuming n is positive.\nAnswer: n**(-95\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 2. Let w = -67 - -96. Suppose g = -y*v + w, -4*v - 4 = -4*g - 8. Solve 0*z - g*z + 4 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37 + 37.1. Suppose 3*d + 16 = 1. Let q be (2\/3)\/((-56)\/(-12)). What is the nearest to v in q, d, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - x = -5*x + 8, 5*c - 26 = -4*x for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 + -11?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = h + 9. Let f be (-2)\/2*1*-31. Let u = h + f. Calculate the highest common factor of 52 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -219171400 rounded to the nearest 1000000?\nAnswer: -219000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -19938 divided by 6\nAnswer: -3323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 l, and 1 y when three letters picked without replacement from {y: 4, l: 1, d: 4, v: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.28 - 0.08. What is the closest to -0.3 in 2, p, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 75301?\nAnswer: 75302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96954?\nAnswer: 2, 3, 11, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 11. Suppose -d = 5*r - 144. Suppose 2*f = -2, 5*b - r = 3*b - 2*f. Solve b = 2*c + 3*y, -c + 5*y + 0 = 6 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6204 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32653 = -2*q - 5*l, -3*q - 93*l + 48945 = -97*l. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d. Let x(u) be the third derivative of u**6\/72 + u**3 + 9*u**2. Let r(f) be the first derivative of x(f). Calculate a(r(w)).\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*2)\/(-1*sqrt(24) - sqrt(6)).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 0*b + 90. Let a = 0 - 0. Suppose a = -2*o - o + 102. Calculate the remainder when o is divided by b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**2 + 3*c**4 - c**2 + (7 - 18 + 151)*(8*c**4 + c**4 + 18*c**4).\nAnswer: 3783*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**2*l*r + 3*d**2*r**2 + 4*d*l*r**3 + 5*d*l + 4*r**5 + 2*r wrt r.\nAnswer: 6*d**2 + 24*d*l*r + 80*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 344 and 430.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 2. Let m = g + -1. Let d be m\/10 + (-12)\/(-15). Is 2 <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.96 - 3.56. Let v be (-1)\/4 + 220\/(-80). Put 4\/5, v, l, 4 in ascending order.\nAnswer: v, l, 4\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 244 + -252. Let l be (30\/135)\/(f\/(-18)). Determine n, given that 1\/2*n**3 - l*n - 1\/2*n**2 + 1\/2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -v - 3*w + 99, -v = w - 76. Suppose 7*b - 5*b = v. What is the remainder when b is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - 2 + 2)*(347*b - 22 - 788*b - 20 - 552*b).\nAnswer: -1986*b**3 - 84*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*d + 14 = 0, -5*d + 8 = 2*b - 15. Let k(z) be the second derivative of z**5\/20 - z**4\/3 - z**2\/2 - z. Let m be k(b). Is -2\/11 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 63 = -5*r. Calculate the lowest common multiple of 6 and r.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/4 - 50 - -2. Let q be (-231)\/x - (-4)\/14. Suppose -q*m + 65 = 5*v, m - 6*m = -5. Solve 3*w = -0*w - v for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 12*w**2 - 237*w - 1701. Determine l(-7).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/31)*y)\/(y**(-4)\/y)*(y**2*y)**(-14) assuming y is positive.\nAnswer: y**(-1114\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1038 divide 10683096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 3:51 AM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {b: 3, n: 4, j: 7}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0*i - 3*i = 12, -3*v = -5*i + 64. Let g be ((-1)\/(-1))\/((-9)\/v). Suppose g*t = 5 - 1. What is the remainder when 5 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 49 = -3*n. Let d = 114 + n. Let k = d - 12. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000064435 to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 246.6285 to the nearest 10.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88590 and 389796.\nAnswer: 1948980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**3 - 12*g**2 - 10*g + 10. Determine x(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -2\/9679?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259*n = 289*n + 120 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 296166654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-0.06.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15325 + -5905. What are the prime factors of r?\nAnswer: 2, 3, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j**4 + 3*j**4 - 3*j**4 + (5*j**3 - 4*j**3 - 10*j**3)*(4 - 4 + j + (-1 + 0 + 2)*(0*j + 2*j - j)).\nAnswer: -23*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1792) + 1 + sqrt(1792) + 0)**2*-4.\nAnswer: -28679 - 256*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/2 - 12\/(-14 - 10)) + -8. Sort 4, -64, z.\nAnswer: -64, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1391 - 26?\nAnswer: 1366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.9 + -0.9. Let d = -7 + p. Let z be ((-3)\/63)\/(3\/9). What is the nearest to 2\/7 in d, 0.07, z?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*y + 130. Suppose -37*c = 95 + 16. Let m = c - y. Is m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*z**2 + 15 + 20*z**2 - 50.\nAnswer: -2*z**2 - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*k - 2*k + 0*k)*(-259 + 502 - 391) to the form j + t*k and give t.\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -31? (a) -0.1 (b) -0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 + 115 + -41 + -12?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1426400861?\nAnswer: 17, 31, 503, 5381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 9*r**2 + 2*r. What is i(9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + (-3)\/(-3) + -31. Suppose 5*w - 2*g + 76 + 83 = 0, g = 4*w + 126. Let f = w - r. Put -5, f, -6 in decreasing order.\nAnswer: f, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -20*y**3 + y + 1. Let l be z(-1). Suppose -3*v + 664 - 4 = 0. What is the highest common factor of v and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4500*u**3 - 1602171300*u**2 - 106811405*u - 1780190.\nAnswer: -5*(u + 356038)*(30*u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, c: 2, k: 2, d: 2, e: 1, l: 2}. Give prob of sequence ln.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/16 of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51484757 and 354.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1208a (base 11) to base 16.\nAnswer: -43f9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -156b2 (base 12) to base 3.\nAnswer: -1112122222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + x - 8941 = 0, -2*x - 2148 - 15750 = -2*y. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**3 - 4*v**2 - 12*v - 6. Let p(q) = -q**3 - q**2 - q - 1. Let f(h) = 6*p(h) + 2*w(h). Let f(j) = 0. What is j?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -2*c**5\/5 + 3*c**4 - 26*c**3\/3 + 12*c**2 - 8*c - 23. Factor k(j).\nAnswer: -2*(j - 2)**2*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/2, -520, -26, 1, -2\/11 in descending order.\nAnswer: 5\/2, 1, -2\/11, -26, -520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1303066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 762, 2, 276, 31 in descending order.\nAnswer: 762, 276, 31, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1250 + 2078. Is a a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19 and 7\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*a + 128 = -33*a. Let c = -3 + 7. Suppose -c*p + 21 = 5. Calculate the greatest common factor of a and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 54 (b) -0.3 (c) -2 (d) -1364 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -10*x**3 - 10*x**2 + 5*x + 25. Let w(o) = -11*o**3 - 9*o**2 + 6*o + 26. Let d(b) = -6*t(b) + 5*w(b). Find h, given that d(h) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -563 + 550 = -t + u, 5*u - 79 = -4*t for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 13 = -2 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -141*u**3 - 75*u**2.\nAnswer: -846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 764812266 to the power of 1\/3, to the nearest integer?\nAnswer: 915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*q + 3 - q + 3*q)*(-4 + 12 + 13) to s*q + y and give y.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 15) in base 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-6 + -18 + 6 + 12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-2) - (1 + (-43563)\/(-10)). Let r(p) = p**2 + p + 4364. Let g be r(0). Let q = g + b. Find the common denominator of q and 17\/26.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*y**2 + 8894*y + 2540.\nAnswer: 2*(y + 635)*(7*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.16232 * 0.13.\nAnswer: -0.0211016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/1568 and -39\/21450688?\nAnswer: 150154816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 19 = -o. Let m(x) = -o*x + 13*x - 14*x. Let v(j) = -8*j**2 + 22. Let d(z) = -3*z**2 + 8. Let g(k) = 11*d(k) - 4*v(k). Calculate g(m(q)).\nAnswer: -625*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times 10111\nAnswer: 303.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-6*(-6*(sqrt(10) - (-2*sqrt(10) - sqrt(10))))\/sqrt(5))**2.\nAnswer: 41469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.7064 + -0.81676. Round m to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, x: 4}. What is prob of picking 3 g and 1 x?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by 84.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = j - 36, 5*j + 2*r = 3*r + 164. Let g = 64 - j. What is the remainder when g is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -184653 - 342?\nAnswer: -185105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h + 0*h + 7 - 3*h + h**2. Let q be f(0). Suppose t - 66 = -q. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1979 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32\/297 - -2\/27. Which is the nearest to r? (a) 2\/5 (b) -2\/11 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/596310 and 55\/1668?\nAnswer: 1192620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 768, 3059, 6878, 12225?\nAnswer: 19100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -102012122?\nAnswer: -102012110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -51206917193 plus 0.06?\nAnswer: -51206917192.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.7072445km?\nAnswer: 707244500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*t + 4 = 0. Suppose -t = -y - 0*y. What is the third derivative of -a**2 + a**5 + 3*a**y - a**2 + a**2 wrt a?\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a**2 - 17*a - 2. Let g be o(5). Suppose g*x = 4*x + 81. Calculate the remainder when 39 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(129\/(-6))\/(-1). Suppose 310 = -18*c - 248. Let p = c - z. Is 12 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203868143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 123 and -25.98320239?\nAnswer: 148.98320239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - (sqrt(204) + (-1*1*sqrt(204) - sqrt(204))))\/sqrt(12) + -4 + (-1*sqrt(204))\/sqrt(12) + sqrt(17) + sqrt(68)\/sqrt(4)*2 + sqrt(17))**2.\nAnswer: -40*sqrt(17) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 25*j - 148. Let g be w(44). What is the highest common divisor of 28 and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -25*i**4\/4 - 14*i - 4. Differentiate d(b) wrt b.\nAnswer: -75*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -39 (b) -6 (c) -5 (d) 0.21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 9*y - 44. Let p(g) = 2*g. Let w(q) = 2*p(q) + z(q). Calculate the remainder when 35 is divided by w(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 127 - 186. Let w = 77 + b. Suppose 4*g - 2*i + 53 = 161, g = -5*i + 27. Calculate the least common multiple of g and w.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -s**4\/12 - s**3\/6 + s**2\/2 + 3*s. Let q be b(1). What is the second smallest value in -2, -3\/8, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1875c - -35?\nAnswer: 18794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (450 - 0) + 8\/4. Suppose 0 = -y - j - 6, -5*y - 2*j - 24 = -0*j. Is i*(-1 + (-9)\/y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3644 is divided by 1821.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 25343?\nAnswer: -25348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q - 75 + 97 = 0. Solve q*b = b + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*j**2 - 9559425*j - 1038701158.\nAnswer: 6*j - 9559425","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5318 is divided by 45.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (11 - 1 - (15 - (13 + -63)))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.75 - -59.75. Let k = h + -120. Let b = -69.6 - k. What is b rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156*q - 9 + 23 - 14.\nAnswer: 156*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 8. Suppose -b*t + 3*t + 45 = 0. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m + m - 2*m**3 + m + 22*m**3 + 10*m**3 - 11*m**3 + (-2*m**2 + 16*m**2 - 4*m**2)*(-m + m - m) in the form j + c*m**3 + k*m**2 + y*m and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 0)\/(11\/((-44)\/(-8))). Let p be (1*(-1 - y))\/(26\/(-286)). Put 5, 1, p in ascending order.\nAnswer: 1, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5918 - 5914. Solve 0 = -b*i - 15 + 19 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 401.5326 millilitres to litres.\nAnswer: 0.4015326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**13*v)\/v)**12*(v*v**19)\/v*v**(-24) assuming v is positive.\nAnswer: v**151","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(931) - sqrt(931)*3) + 1*sqrt(931)*4 - ((-3*sqrt(931) - sqrt(931))*5 - (sqrt(931) + sqrt(931) + -3 + -4)))**2.\nAnswer: -3360*sqrt(19) + 536356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -19. Let g be (40200\/(-9))\/(s\/12). What is g rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 4:45 AM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 13*n = 0. Let r be (-3 - n)\/(((-12)\/(-8))\/1). Let v be (2 - (3 + r))*-2 - -9502. What is v rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1927 less than -2.521?\nAnswer: -1929.521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 3*z - 3. Is 11 a factor of h(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9536.19 + -9578. Let o = 99 + -57. Let s = w + o. Round s to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 6*a + 6 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 11:59 AM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 72, 99, 138, 183, 228, 267, 294, 303?\n\"Answer: -f**3 + 12*f**2 - 2*f + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.659381 + -0.659381. Let d = 2.8 + -3. Which is the closest to u? (a) -1\/4 (b) d (c) -4\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 555216?\nAnswer: 555216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -2099\nAnswer: -5\/2099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301 + (-17 - (10 + -18)) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -204 by -68.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 13*r - 7 = -12*r, -6*r + 37 + 1 = -4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 16.5. What is the third smallest value in 1\/12, k, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19626001 plus -3489.511?\nAnswer: 19622511.489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 13. Let a(n) = 92*n + 1. Let g be a(z). Suppose -3*y = 5*o - 155, o - 3*y = 4*o - g. What are the prime factors of o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 10937*w**3 - 22*w + 22. Is c(1) 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 401, 798, 1195, 1592?\nAnswer: 1989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 66*v**2 + 428*v + 288. What is i(72)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 4*u + 4, s - 48*u = -43*u - 8. Solve 4 = -h - 2*y, s*h + 8 + 0 = 2*y for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 99679*w**3 + 59360*w**2.\nAnswer: 598074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/693 and -58\/13629.\nAnswer: 40887","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, -729, 2\/3, 4.2, 2\/5 in descending order.\nAnswer: 4.2, 2\/3, 2\/5, -5\/2, -729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 236.444 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((1 - 2 - 1) + -2)\/(-1). Suppose 0 = -j*s + 66 + 74. Let a = s + -32. What is the smallest common multiple of 6 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10\/9, 2, 0.1, 13 in descending order.\nAnswer: 13, 2, 10\/9, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-5) - 0) + 8664\/120. Let f = q - 69. Find the first derivative of -10*g**2 - 10 + 2 - f + g**2 wrt g.\nAnswer: -18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuiuui. Give prob of sequence iiu.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6))\/(396\/1314*(-5)\/9) - -4.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63660258?\nAnswer: 2, 3, 3536681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 108041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*c**2*d - c**2 - 4*c*d - 11653*c + 233*d + 2074 wrt c?\nAnswer: -26*c*d - 2*c - 4*d - 11653","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65842 - 30641. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 78, 3, -2 in descending order.\nAnswer: 78, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 16) to base 6.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -993.1 times 0.4\nAnswer: -397.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 22*h - 56. What is w(2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {t: 1, k: 4, o: 5, b: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.8880597 days?\nAnswer: 76728358080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3257, -3271, -3303, -3359, -3445, -3567?\n\"Answer: -d**3 - 3*d**2 + 2*d - 3255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.04 (b) -2\/11 (c) 5 (d) -243724 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*g = 3*q - 171, 4*q = -212*g + 208*g + 88 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 46 = -4*x, -x - 4*x + 15 = 0. What are the prime factors of w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2*u + 2*u**2)*(-2 - u + 2) to the form q*u + b + n*u**3 + v*u**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -25*f + 185. Let a(q) = -315*q - 5033. Let d be a(-16). Give h(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.778847 months in millennia?\nAnswer: 0.00239823725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -r + 31704, -2*r - h + 23414 = -40008. Suppose 3*y + 19024 = 2*i, -8*y - r = -3*y - 5*i. What is y rounded to the nearest 100?\nAnswer: -6300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 19\/10 (b) -0.46 (c) 3\/10 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/6 - 9\/(-4). Put -1\/2, 0.07, -3, r in descending order.\nAnswer: r, 0.07, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -m**4\/6 - 5*m**3\/2 - m**2. Let q = -47731 + 47721. Determine n(q).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 5:29 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3391*c + 3799*c - 6199*c as u + n*c and give n.\nAnswer: 991","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5983, -7, 25, -5 in decreasing order.\nAnswer: 5983, 25, -1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1311103 - -10?\nAnswer: 1311113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -55? (a) 11 (b) 1 (c) 0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 257, 261, 267, 275, 285?\n\"Answer: m**2 + m + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-9))\/((-3)\/18). Let o be (5 - 4)*(-2)\/u. Let n be 0\/(-2) - 6\/15. Which is the smallest value? (a) n (b) o (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**2\/11 - 77164*p\/11 + 77162\/11 = 0. What is p?\nAnswer: 1, 38581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 110043554 + 2?\nAnswer: 110044000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 7260\/132 + -49\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*l - 2*l + 2*w, 0 = 2*l + 3*w + 13. Let y = -975.95 + 974.95. Which is the closest to -4? (a) 0 (b) -5 (c) l (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(17)*2 + -4.\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*d - 35 + 17. Solve d*v + 5*v - 28 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.3 or -13\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/7)\/p)**17*(((p*p\/p**(-1\/4))\/p)\/p)\/p**(-7\/6) assuming p is positive.\nAnswer: p**(-1513\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1794, -17878, 5 in descending order.\nAnswer: 1794, 5, -17878","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 53\/754503?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2021012101 (base 4) in base 13?\nAnswer: -1687a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*u - 9*u - 29. Suppose 4*l - 99 - u = 0. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 522386, 522388, 522400, 522428, 522478, 522556?\nAnswer: 522668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 2:14 PM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -1, 8 in descending order.\nAnswer: 8, 0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 498?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 3:20 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -29*o - 12. Let f(g) = -27*g - 16. Give -4*f(l) + 3*p(l).\nAnswer: 21*l + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -236.199 (b) -293 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -17. Let c = 4.35 + a. Round c to 2 decimal places.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*p = -64. Is 15 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3384 - -6299. Suppose -5*k = -0*k - b. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u + 62 - 31 - 2*u - 31. Let g(n) = 636*n**2. What is p(g(k))?\nAnswer: -636*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-28)\/k**(-28))\/(((k\/k**21)\/k)\/(k**(-3\/11)*k)) assuming k is positive.\nAnswer: k**(239\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 143 = -8*o + o + w + 8*w, 2*o + 2*o - 21 = w for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1038804887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100353016 is divided by 89?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 30, 63, 96, 129, 162, 195?\n\"Answer: 33*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1976, 3955, 5926, 7883, 9820, 11731, 13610, 15451?\n\"Answer: -l**3 + 2*l**2 + 1980*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -k - 2. Suppose 3*g = -j + 3, k*g + 0*g - 4 = -3*j. Let w(i) = i**3 + 16*i**2 - 19*i - 33. Let r be w(-17). Solve -r + j = t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 132 - 1312 = -3*f, 2*f + 2*p = 964. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -j**3\/6 - j**2 - 2*j. Suppose -3*a = 3*b - 63, 3*a - 32 = -4*b + 32. Calculate the remainder when a is divided by i(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2757 divided by 919.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 7*p - 14. Let d be p - (-4*(-6)\/8 + -7). Let l(t) = 72 - 81 + 2*t - d*t + t. Calculate l(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -453530 * -5\nAnswer: 2267650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -387 by 43.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24523 (base 6) to base 10.\nAnswer: 3651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 18\/((-1260)\/(-1162)))*(-85)\/(-323)?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 8 = 3*k - 0, -k = l + 2. Suppose 10 = 2*u, -l*u = -3*n - 7 + 30. Is n less than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 4*m = -4. Let d = 446 + -446. Which is the nearest to -1? (a) -4\/3 (b) m (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2356349580?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v - v = v. Suppose 2*u + 5*f - 65 = 0, v*u - 4*u + 3*f + 65 = 0. What is the greatest common divisor of u and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 1 + (3 - 2 - 2)*(2 - 4 + 0))*(0*p + 0*p - 2*p**2 + (-2 + 2 + p)*(4*p - 2*p - 4*p) + (3*p - 4 + 4)*(4*p - 2*p - p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-55)\/33*3 - 791\/(-133). Let u(g) be the first derivative of 30 - 2\/57*g**3 - 6\/19*g**2 - s*g. Factor u(k).\nAnswer: -2*(k + 3)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2325776*g**2 - 2325776*g**2 - 868*g**3.\nAnswer: -868*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*r + r - r)*(45 + 13 + 25) to s*r + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6632, 6631, 6630, 6629, 6628, 6627?\n\"Answer: -z + 6633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4435737 and 751409?\nAnswer: 137507847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of 7*f**3\/3 - 16*f**2 - 28*f. Differentiate v(w) with respect to w.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162814.00629 minus 2717?\nAnswer: 160097.00629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7236? (a) -2 (b) 10 (c) 0 (d) -1\/16 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 - 9. Suppose 2*r = 3*w - 4*w - 6, -s = -3*w + r. Suppose -k = 3*h + 3*k + 32, -w*k - 16 = -h. Let z(t) = 2*t**2 + 6*t. What is z(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(324) - sqrt(324) - sqrt(36))*4)\/((5*1*sqrt(108))\/sqrt(9))*1.\nAnswer: 8*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 + 1 + 4\/(-2). Suppose 2*h - 2*r + r - 4 = 0, 0 = h - r - 2. Let f(n) = -h*n - n + j*n + 0*n. Let z(c) = -8*c. What is f(z(q))?\nAnswer: -16*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 17*t**3 - t**2 - 9*t + 5. Let x be u(2). Solve 3*a - 131 = -x for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**3 + 11*w**3 + 13*w**3 - 8*w**3.\nAnswer: 13*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/3*i**2 + 0 + 2\/3*i - 1\/3*i**3 = 0 for i.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 3 = s. Suppose -s*j - 24 = 12. Let r(o) = o + 30. Is r(j) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80766?\nAnswer: 2, 3, 7, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -38*z**3 - 389*z**2 - 424*z - 24. What is v(-9)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of o**4\/12 + 4*o**2. Let y(l) = 71 + l - 71. Calculate y(u(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -z**4\/54 + 310*z**3\/27 - 24025*z**2\/9 + 524*z. Factor i(u).\nAnswer: -2*(u - 155)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5 - 9*p + 14 + 15*p wrt p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a + 3*p = 17*a + 5, -10 = 2*p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9\/6)\/((-15)\/(-130)). Let r = 15 - u. What are the prime factors of 18 + 6 - (r - 4)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 32 (c) 2\/3 (d) -3 (e) 1\/6 (f) -2 (g) 1959\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x + 23. Let n be z(7). Let d be (-4)\/(-6) + n\/15. Let l = -15\/2 - -79\/10. Which is the biggest value? (a) l (b) d (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*r + 2*d, -1 = -171*r + 167*r + d for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 430 - 430.313. What is l rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*s = -90*s - 280 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 97893 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21201, 42356, 63511?\nAnswer: 84666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -3*n + 113*j - 111*j, -18 = 2*n - 3*j for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvgyyggggvkvikyviv. Give prob of sequence gigy.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in six fifths of a week?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/84*2)\/(45\/(-60)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 10:33 AM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102 and 680.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1045231\/36 - -29038. What is the common denominator of (0 + (-4)\/18)*7584\/896 and v?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*sqrt(245)*-2)**2.\nAnswer: 140*sqrt(5) + 1005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8007 + 8006.7. Which is the third biggest value? (a) l (b) -3 (c) 1 (d) 120\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2\/15*f**4 - 4\/3 - 2\/5*f + 22\/15*f**2 + 2\/5*f**3 = 0.\nAnswer: -2, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 40, 2, -9\/8, -4, -1\/10, 1\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 1 - 10 = -a, 0 = -3*w - 2*a + 1. Let h be (10\/w)\/((-16)\/(-24)). Suppose h*t = 2*t. Solve t*i = i + 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (26\/(-39))\/((-1)\/6). Suppose m*b - 3*j = -2720, -2*b - 2065 = b + 4*j. Is 19 a factor of (-17)\/(-102) - b\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -2*t - 3*p, t + 3*p = 567 - 548 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -727870*q**2 - 18*q - 2 + 17*q + q + 727866*q**2.\nAnswer: -4*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -36, 2\/11, -1\/5, -0.1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 5*r**2 + 22*r - 205. What is l(6)?\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(100) + sqrt(100)*2))\/(sqrt(20)*-2))**2.\nAnswer: 405\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -16. Let m = b + -16. Let c be -1 + 1 + (-5)\/3. Sort 2\/3, c, m in descending order.\nAnswer: 2\/3, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + 1140697?\nAnswer: 1140696.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1932*c - 8709*c - 20193*c - 2544*c - 2 + (2 - 1 + 1)*(-1 + 1 + 2*c) to v + p*c and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -11 (b) -4 (c) 2 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p - 10. Let l be s(7). Let t be 1*-1*-1*5. Suppose t = 4*o - 3. Sort l, -1, o.\nAnswer: l, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226*h = 447*h - 238*h - 272. What is the second biggest value in 0.43, -3, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t**3 - t - 908. Let q(n) = -4*n**3 + n**2 + 909. Let u(b) = -3*k(b) - 2*q(b). What are the prime factors of u(0)?\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2379 take away 52?\nAnswer: -2431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50846, -50598, -50258, -49886, -49542, -49286, -49178, -49278?\nAnswer: -49646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/3448 + -6909\/44824. Let p = -2 + 2. Put 1, -1\/4, p, y in ascending order.\nAnswer: -1\/4, y, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -3511 (b) -0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from glbzbgblgllggg. Give prob of picking 2 g.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4260 divided by -23\nAnswer: 4260\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.71 + 0.71. What is the biggest value in -3\/4, c, -0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 10*o + 5. Suppose -20 = -22*q + 24. Let j(f) = 3341 - 3341 - 4*f**q. Determine j(w(k)).\nAnswer: -400*k**2 - 400*k - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213 is divided by 100?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9534.998 litres to millilitres.\nAnswer: 9534998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2 + 11. Let l(q) = q**3 + 9*q**2 - 3. Let v be l(a). Let t be (2 - 1)\/1 - v. Put 5, 3, t in descending order.\nAnswer: 5, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 + -22. Suppose 4*x + g - 12 = -2*g, 3*x + 4*g = 2. Let b be 1\/w*-1*x. Solve -n = -b*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*r = 23*r - 126 + 30 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/21 + 10\/35. Suppose 5*k - 2*k - 297 = m. List the prime factors of k.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95161912961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08567 times 5?\nAnswer: -0.42835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and -205.92?\nAnswer: 205.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-3 - (2 + -6 + 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**2. Let t(s) be the first derivative of -1 + 0*s - 3\/2*s**2. Give n(t(w)).\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -61, -147, -267, -421, -609, -831?\nAnswer: -1087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2109235 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of o**5\/30 - 2*o**2. Let d(s) = 189*s + 27. Let z(l) = -135*l - 19. Let f(v) = 12*d(v) + 17*z(v). Calculate x(f(a)).\nAnswer: 1458*a**2 - 108*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5436*x**2 - 3*x**3 + 4963*x**2 - 10399*x**2.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 113.99 rounded to zero dps?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -6 - (-2 - -5)) + -13?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 464661 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2 = 0, 0 = -4*p + 4*y + 86 + 10. What is the remainder when p is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 113371 - 1080169.\nAnswer: -966798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -6, 81, -3 in descending order.\nAnswer: 81, 4, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1 + 0)\/((-4)\/2280*-5) is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 290\/(-18) - -9 - -7?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 7872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 + 12 = 2*n - y, -21 = 3*n - 3*y for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -3*j**2\/2 + 4*j - 6657. Let l(p) = -2*p + 5. Calculate -6*c(f) + 5*l(f).\nAnswer: 8*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 390 divided by -6?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1012)\/66)\/(1\/(-57)). Let t = a - 19. Let g = -4 + t. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30647333 is divided by 331?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b - 28*b - 772 + 713. Let h be p(-3). Solve 12*w - 8*w + h = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 4. Calculate the least common multiple of 10 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -264.249992571 - -264.25. Round s to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.3, -0.5, 3, -49?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230886?\nAnswer: 2, 3, 101, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42157 - 209748\/5. Let d = -208 + u. Which is the third smallest value? (a) 0 (b) -0.3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5148092 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6067869106 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/3375056 and 113\/10?\nAnswer: 16875280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x. Suppose -r - 8 = -2*r + 3*a, 2*r = -4*a - 4. Let j be l(r). Suppose y = 3*v + 115, j*y + v = -4*v + 197. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 67 - (40 + -39 + 40)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g + 6 = 11*g. Let b be g*1 - 6\/2. Solve s + 9 = -5*n + 5*s, -n + 7 = -b*s for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 4 + 4 - 3 - 2 + 1 + 4 - 3 - 1 + 1 + 2 + (0 + 2 + 0)*(-3 + 1 + 0) + 5 - 2 - 1)*(-3 + 3*o + 0*o - o) in the form y + t*o and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64026 and 2448.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 6 + 1 + -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/93080544 and 89\/3265984.\nAnswer: 186161088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**5 - 370*z**4 + 37312*z**3 - 557568*z**2.\nAnswer: z**2*(z - 176)**2*(z - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - (-8)\/(8\/(-5))) + 0. Let k(n) = 4*n**3 - 2*n**2 - 5*n + 4. Let m(q) = 5*q**3 - 2*q**2 - 6*q + 5. Calculate y*k(a) + 5*m(a).\nAnswer: a**3 + 2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i - 1. Let y be g(1). Let a = -736.7 - -737. What is the nearest to 0.1 in a, y, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 5*d + 52, -74*d + 40*d - 14 = i - 33*d for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 16*r**2 + 49*r + 282. Determine y(-5).\nAnswer: 437","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a - 234 - 240 + 727 - 237. Determine c(-28).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 591154859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 8 + -8 + (-2 - 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*o**2 - 134*o**2 - 136*o**2 - 128*o**2 - 6*o**3 + 495*o**2.\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + j + 2*j)*(5*j**4 - 5*j**4 + 3*j**4) - 2*j + 2*j - 2*j**5 - 5*j**2 + 3*j**5 + 5*j**2 + (-j + j + 2*j**4)*(-j - j + j).\nAnswer: 8*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1856 (base 12) in base 5?\nAnswer: -43241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -95*v**2 - 35*v. Let q = 951 - 916. Let n(r) = -8*r**2 - 3*r. What is q*n(h) - 3*w(h)?\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -6 + 27*o - 2 + 1. Let g be q(6). Suppose -15 = i + g. What is i rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 725 (base 13) to base 12.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 3*w - 15. Suppose -2*o = -w*o + 9. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -176b (base 14) in base 11?\nAnswer: -3189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-88)\/(-22))\/((-4)\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 3 - 3. Let r(m) = -m**2 + 3*m + 25. Let n be r(6). Let h(i) = -n*i - 2 + 2 + 5*i. What is h(x(t))?\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - d - 560, -405 = -5*y + d + 295. Put y, -3, 3, 2 in ascending order.\nAnswer: -3, 2, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183.85695 rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 6*p + 7. Let f be g(6). Let h(i) = i**3 - 6*i**2 - 7*i + 2. Let o be h(f). Suppose o*z - 11 = 5. Is 4 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 1164?\nAnswer: 5820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3176411*j + 3176399*j - 4 - 6352782*j.\nAnswer: 28*j - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41 + 28. Let t = -10.47 + 1.47. Let w = l - t. What is the nearest to 0.1 in w, 0.2, -1\/10?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*s - 10*s + 490 = 109*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1072764235*g**2 + 791305383 wrt g.\nAnswer: 2145528470*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -731*w + 765*w + 1519 + 317 for w.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 160\/27?\nAnswer: 160\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of x**5\/40 - 9*x**4\/8 + 65*x**3\/4 - 169*x**2\/4 + 2*x + 56. Factor o(n).\nAnswer: (n - 13)**2*(n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 4*l - 3*o - 10, 2*o = -5*l + 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/6 of a hour?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i - 48. What is f(0)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(216)\/(2*sqrt(1200)))\/(2*sqrt(2304)).\nAnswer: 3*sqrt(2)\/640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/4))**(-8)\/(s**(-4)\/(s**(2\/23)*s)) assuming s is positive.\nAnswer: s**(163\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**(-5\/9)*n*n**(-1\/13)*n*((n\/(n*n**(-3)*n))\/n)\/(n\/(n**1\/n)) assuming n is positive.\nAnswer: n**(407\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s**3 + 14*s**3 - 14*s**3.\nAnswer: 10*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -27*c**5\/20 + 11*c**3\/3 + 30*c. What is the second derivative of l(y) wrt y?\nAnswer: -162*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 625936 at least 625940?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15023 is divided by 357.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -12604 divided by 12604?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1414459 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pb when two letters picked without replacement from {p: 1, b: 5, x: 1, j: 2}?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - 2*c - 5*l + 15, 5*c - 4*l + 12 = 0. Let h be (-2)\/2 + -1 - c. Let m(r) = 0*r - 3*r - 1 - 2*r**2 + 5*r**2 + r**3. Determine m(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 2*d**2 + d. Let v be c(2). Solve v*y + 4*p - 22 = -0, 2*y = -2*p + 16 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113006 is divided by 9415.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -5*g - 8. Is g + 19 - 1*-1 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1966026 + -610644. Let p be 2\/3 - n\/(-81)*903. Round p to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 v when three letters picked without replacement from {n: 4, v: 1, g: 7, x: 2}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 19, 16, 33, 76, 151, 264, 421?\nAnswer: 628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/8*9\/((-9)\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/5 - 46*l + 1120.\nAnswer: 2*(l - 80)*(l - 35)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + -1 + (-87 - -117 - -34).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -7) + 0 + -9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2574280 by 3704.\nAnswer: 695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -44\/907767, 1 in increasing order.\nAnswer: -2\/11, -44\/907767, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 170719780379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -8 (b) 2\/11 (c) 1\/4 (d) 21 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 133, 3, 154368 in decreasing order.\nAnswer: 154368, 133, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33.05 - 29. Let s = m - 4. Let x = s + -0.45. Sort 2\/3, x, 1 in increasing order.\nAnswer: x, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 8*v**3 + 8*v**2 + 16*v + 8. Let w(h) = -h**3 + h**2 - h - 1. Let u(a) = -l(a) - 4*w(a). Factor u(o).\nAnswer: -4*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 124 = -5*x, 4*w = -x + 5*x - 100. Suppose -9*y + 84 + 6 = 0. Differentiate 10*p - 16*p + y - x*p wrt p.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/(-3))\/(75\/645))\/(1*36\/(-180)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/1056 and -71\/352.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 20. Solve -4*c = c - d for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -263, -1010, -2253, -4004, -6275, -9078?\n\"Answer: -2*h**3 - 236*h**2 - 25*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 118876 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1023 = 146*v - 1313 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 76, 7 in decreasing order.\nAnswer: 76, 7, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9125\/2 - -4832. Which is greater: f or 270?\nAnswer: 270","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4041973.4986 + -4043896. Let j = q - -1907.5. Let k = 15 + j. What is k rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8 and -6.2.\nAnswer: 4.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -22*n + 906. Let p be x(41). Solve -v - 1 = b, 2*v + 14 = 2*b + p for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 109111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 283835719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 0.05, -548, -317\/21?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p + 2*p + 6*p + 9*p.\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4*y - 54. Determine r(-7).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*o - 71*o = 103*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 760*w + 16. Let m be g(7). Suppose 0 = 5*f - 196 + m. Let h = f + 1663. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -519804712*g**4 - 2*g - 16116233?\nAnswer: -6237656544*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a**2 - a**2 - 1 + 5*a**2 - 1. Let v be q(2). Solve 0 = v*y + 2*g + g + 14, y = -g - 6 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 509728.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.01 - 5. Let f = r + -4.01. Let a = -4.005 - f. Round a to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10556797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-2)\/(-10)*(0 + 180\/24)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 2. Let u = 6 + -4. Suppose 3*m = -m + 2*o + 52, -m = p*o - u. Is 6 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 4, -5*r = -3*k + 4 + 30. Let x(v) = -8*v - v - 33 - 58 - 95 + 23. Calculate the least common multiple of k and x(-23).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 14 - 2 = 0. Suppose 3*f + 31 = y. Suppose 4*h + 6 = -0*i - i, 0 = 2*i - 4*h. Which is the biggest value? (a) i (b) -1\/4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - 4*w. Let b be f(-4). Suppose -5*p + 19 + 11 = b. Suppose 0*h - 4*h + 88 = 0. Calculate the remainder when h is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)\/(sqrt(8)*-3))\/(-3*sqrt(6)*-1))**2.\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-20)*210\/((-1302)\/31)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5*h + 12795 = 0, 0*a + 2*h = 2*a - 6396. Is 73 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*r + 26*r + 926299 = 0. What are the prime factors of r?\nAnswer: 11, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53.78 - -1.22. Let l = 55.1 - s. Which is the closest to 1? (a) l (b) 0.4 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**2 + v. Let s(p) = 8*p**2 + 12*p + 71. Let j(b) = s(b) - 5*x(b). What is the first derivative of j(w) wrt w?\nAnswer: -4*w + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-14)\/(-189)*3.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -71 (base 16) to base 2.\nAnswer: -1110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*4\/(8*-1). Sort h, -2, -4 in increasing order.\nAnswer: -4, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-60))\/((-4)\/16)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**3 - 4*m**2 + 6*m + 4. Let k(c) = -c**3 + 25*c**2 - 26*c + 52. Let v be k(24). Let x(j) = 2*j**3 + 5*j**2 - 5*j - 5. Calculate v*x(w) + 5*t(w).\nAnswer: -2*w**3 + 10*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -53\/40 or 9731.2?\nAnswer: 9731.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 700 is divided by 35?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*o**4 + 29 - 29 + (5*o - 2*o - 2*o)*(-135*o**3 + 9*o**3 - 14*o**3) in the form k*o**3 + c + y*o**2 + s*o + u*o**4 and give u.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 17*q - 7. Determine i(16).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*i**3 + 146 + 154 - 298)*(-i**2 - 3*i**2 + 3*i**2).\nAnswer: 15*i**5 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 488089013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.08 - 0.38. Let x = -55 - -54. Which is the nearest to -2\/7? (a) -0.5 (b) p (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20760 - -76?\nAnswer: 21056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 8*a**2 + 55*a + 323. Calculate b(-5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -1 + f - 6 - 2*f + 16. Let d be v(7). Solve -2*b + 4*k = 8, 8*b = 3*b + 4*k - d for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/15*(-3)\/(-6)*11\/(-11).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4*-36498\nAnswer: 145992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*g + 32*g - 17319. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 80 = -5*a, 8*a - 3*a + j + 70 = 0. Let h = -6 - a. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168930497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q. Let n(h) = -8*h**2 + 74*h + 1. What is v(n(y))?\nAnswer: 8*y**2 - 74*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 84901534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20381, -20327, -20273, -20219, -20165?\nAnswer: -20111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1440 + -1440.2. Which is the second biggest value? (a) -12\/13 (b) l (c) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15601\/21 + 2251\/3. Calculate the common denominator of a and 18\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/1 + 251 + -3. What is the remainder when 46\/q + (-184)\/(-22)*5 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 15*f**2 - 200 + f + 182 + 6*f**3 - 5*f**3 - 41*f**2. Calculate the smallest common multiple of 22 and i(26).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 1:02 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 - -48.3. Let j = g - 4. Do j and 0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppojpjoypopjoh. What is prob of picking 2 p, 1 h, and 1 j?\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -c + 43. Let i = c - 71. Find the third derivative of i*m**3 - 28*m**3 - 32*m**3 - 4*m**2 + 21*m**2 wrt m.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 529?\nAnswer: -4\/529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -502 - -501. Which is the second smallest value? (a) 0 (b) x (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k**3\/2 + 12937*k**2\/2 + 41835023*k\/2 - 41847961\/2 = 0. What is k?\nAnswer: -6469, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i + 12. Let x(p) = p - 1. Let u(h) = a(h) - 2*x(h). Find the first derivative of u(b) wrt b.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/18)\/((-2)\/(-66)) + 1. Suppose -1490 = -o*c + 1774. Calculate the remainder when c is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 42*y**2 - 34*y + 364. Calculate the common denominator of h(-43) and 105\/1144.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 737 divide 1748941244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -412, -825, -1238, -1651, -2064, -2477?\n\"Answer: -413*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -65, -67, -71?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -6*y**4 - 2*y**3 + 2*y**2 + 2*y + 5. Let v(k) = -k**4 + k**3 - k**2 - k - 1. Let r(n) = -p(n) - 2*v(n). Find the first derivative of r(f) wrt f.\nAnswer: 32*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (-6 - -14)) + (-2 - 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 - 25. Find the common denominator of 41\/22 and (z\/90)\/((-4)\/510).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-52)\/117)\/(37\/111).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -17*n**2. Let a(l) be the first derivative of 2*l**3\/3 - 1. What is j(a(m))?\nAnswer: -68*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1851, 1841, 1809, 1743, 1631, 1461?\n\"Answer: -2*g**3 + g**2 + g + 1851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1604, -1, -2, 1, 3 in descending order.\nAnswer: 1604, 3, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 6. Let l = 18 + -10. Let w = l - s. Sort -4\/5, -5, w.\nAnswer: -5, -4\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-4) - (16 + -23) - 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 2*n + 3. Let g be v(6). Let z be g\/(-42)*(-28)\/(-2). Is z <= 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 - 28*s + 27.\nAnswer: (s - 27)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7339 + 7396. Solve -2*t + r = 43 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 37*n**2\/2 + 31*n - 19. List the prime factors of h(8).\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 485177299?\nAnswer: 43, 11283193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z - 44. Determine v(39).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*7*4\/(-140). Which is greater: t or 3\/706?\nAnswer: 3\/706","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55 + -39. Suppose 4*d + w = 2 - q, -2*w = 4*d + 12. What is the tens digit of (32\/(-24))\/(d\/54)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*t + 9 = 0. Let i = 2 + 1. Let k = t - i. What is the smallest common multiple of 22 and k?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 0.14, 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 - -45. Suppose 0 = -4*h - 4*x - 2876, -10*x + d = -9*x. What is h rounded to the nearest 10?\nAnswer: -720","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4634185 and -0.21715.\nAnswer: 0.2462685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, -4141, -4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 10*y + 1. Let r(z) be the second derivative of z**3\/6 + 17*z - 2. What is -2*j(a) - 18*r(a)?\nAnswer: -2*a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/63 and -5\/214816.\nAnswer: 1933344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.039 - -19.961. Let y = 37 - f. Let h = 150 + -299\/2. Is h greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1308, -6719, -12130, -17541, -22952, -28363?\n\"Answer: -5411*h + 4103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -10*w**3 + 466*w**2 - 247*w - 1337. What is z(46)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33 * 482.\nAnswer: 15906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.9484 millimeters in centimeters?\nAnswer: 9.19484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-135)*12)\/((-5)\/(-675)*-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -5*d - 5, 5*h - h - 2*d = 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 14 = 2*t, -t + 4*t = -3*s + 21. Suppose -2*v = 5*f - 16, -f - 2*v = -t*v + 13. Suppose f*p - 907 = p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) - (0 + sqrt(720))) + -2 - sqrt(720))**2 + -2.\nAnswer: 48*sqrt(5) + 722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 558004?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2\/2 - 7527*w\/2 - 15078.\nAnswer: 3*(w - 2513)*(w + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1922*l**5\/9 - 3066272*l**4\/9 + 1978840*l**3\/9 - 106400*l**2\/3 = 0. What is l?\nAnswer: -1596, 0, 10\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-42))\/(17\/(3060\/80))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.3, 0.5, 212, -0.0227, 33?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 + 44. Suppose 3*u + 2*k - 12 = -2*k, 0 = 2*u - 4*k - d. What is the third biggest value in 0.5, u, -0.1, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -521 = 9*v - 17072. List the prime factors of v.\nAnswer: 3, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 + 64994472*w + 264017586909924.\nAnswer: 4*(w + 8124309)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 35.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/(-4))\/((-1)\/(-4)). Let y be (1\/(-2) - 0)*j. Let u be (-1)\/(-2)*2 - -1. Solve n - u*n = y for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 3*y**2 + y - 1. Let v be s(2). Let j = -0.4 + 0.6. What is the nearest to -0.1 in -0.2, v, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -11*y**4\/3 - 112*y**3\/3 - 251*y**2\/3 - 14*y = 0.\nAnswer: -7, -3, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15\/14 (b) -5 (c) -14.531\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1410322 + 1?\nAnswer: 1410323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 422\/871581?\nAnswer: 422\/871581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -165680, -330802, -495368, -659378, -822832?\n\"Answer: 278*b**2 - 165956*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 162 and 171 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 0*m + v - 2, 5*m - 10 = 5*v. Let l be 0 + 3 + -3 + m. What is the remainder when 31 is divided by 14\/(-7) + l + 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4787621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 311 divided by 12.\nAnswer: 311\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 1:33 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 d, and 1 h when three letters picked without replacement from xrodrordoohdoro.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2, 0.4, 8\/19, 7.16, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33877809 divided by -3.\nAnswer: -11292603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*j + 52. Suppose 4*x - j = 0, 5*x - 6 - 13 = 4*k. What is the third smallest value in 3, k, 5\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 y when two letters picked without replacement from xdbsydd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18 + -10?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -0*z + 3*z - 79, -3*z - 5*q = -76. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59 + 64. Suppose -6 = -t*x + 4. Suppose i + 5*m = 22 - 0, -x = i - m. Solve -2*p = d - 6, -6*p - 16 = -i*p - 5*d for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*j**3 + 3 + j**2 - 15*j**3 + 9*j**3 - 5*j**2 to i*j + b + q*j**3 + f*j**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -14979, -14675, -14371?\n\"Answer: 304*d - 15283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + d3a?\nAnswer: d3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by -190\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1027 = 37*o + 85*o - 1047 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1961186, -1, 13 in increasing order.\nAnswer: -1961186, -1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + (-1 - 17) + (55 - 0) - (-12 - -4)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 281*r**3 - 5*r + 3. Let k be f(2). Suppose -6*u + 285 = -k. Suppose 3*z - u - 374 = 0. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1872 + 0 + -2 + 1 - 1. Suppose 0 = 5*t - 420 - d. Let u = -253 + t. List the prime factors of u.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16534953 is divided by 49804.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 161 - -105. Let m = -260 + a. Sort m, 1, -2 in descending order.\nAnswer: m, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 519.265 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24.051 - 0.051. Let n = 23.99999888 - y. What is n rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 5 - k**3 + 26 + 3*k**3 + 9 to t*k + r*k**3 + v + b*k**2 and give v.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 111111010100010 (base 2) to base 16\nAnswer: 7ea2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3160857214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1223247 a multiple of 330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -135.9 + 136. Let f = -59 - -179\/3. Which is the closest to f? (a) q (b) 4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (12\/(-8))\/((-6)\/1432).\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134814964727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 5*f - 2. Let m(d) be the first derivative of 4*d - 11\/2*d**2 - 13. Give -3*m(s) - 7*t(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*k - 2*r - 90, 5*k + 2*r + 659 = 593 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 86 and -4.\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 460940 rounded to the nearest ten thousand?\nAnswer: 460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 10*t**3 - 111*t**2 - 372*t + 4350. Calculate p(11).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**2 - 47616*b + 428382 = 0.\nAnswer: 9, 23799","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 20 + -3 - (107 - (5 + -36 + 27))?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**2 - 5*a**2 - 14*a**3 + 16*a**3 wrt a?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 23 - 109 = -4*n, -3*n + x + 98 = 0. Let z = n + -28. Solve 0 = -8*r + 5*r + z*c + 15, 0 = 4*r - 4*c - 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - w. Let k = -2\/119 - 228\/595. Is k equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 473*q**3*r**2 - 24*q**3 - 455*q**2*r**2 - 6*q**2*r - 3*q*r**2 + 3*q*r + 79*q + r**2 wrt r.\nAnswer: 946*q**3 - 910*q**2 - 6*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 88 + -43. Is l\/4 - (-4)\/(-16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b - b - 2*b to i + k*b and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7664107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40827527*j**5 - j**2 + 14162892 wrt j.\nAnswer: -2449651620*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1635*y = -3*a - 1631*y - 18, 11*y = -3*a + 27 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 766*a**2. Let q(s) be the third derivative of -7*s**5\/60 + 1863*s**2. Give q(x(j)).\nAnswer: -4107292*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1028 divide 1073472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-7 - -8) - 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 593 - 594. Put o, -0.006, 0.1, -5 in ascending order.\nAnswer: -5, o, -0.006, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.85 and -38.8?\nAnswer: 32.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4829673 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -2, -9 in increasing order.\nAnswer: -9, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a + 24*a = 13*a + 30 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52*d**3 + 324*d**2 + 32*d - 240.\nAnswer: 4*(d + 1)*(d + 6)*(13*d - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-335\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(((-470)\/(-1))\/(-10)).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 736365003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 601 is divided by 41?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1597.083 times -2?\nAnswer: 3194.166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000009201 rounded to 7 dps?\nAnswer: -0.0000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of 2*m**3\/3 + m**2\/2 - 12*m. Let s(q) = 42*q**2 - 9*q**2 - 15*q**2 - 19*q**2. Give d(s(k)).\nAnswer: -4*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26639557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/16*1 + (-38)\/(-8). What are the prime factors of y\/((-8)\/(-106)) + 4?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-605)\/(-1210))\/((-1)\/(-20))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o + 4 - 15209*o**4 + o**3 - 10*o**2 - 3*o**3 + 15210*o**4 in the form l*o + c*o**4 + p*o**2 + h + z*o**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/39? (a) 4\/63 (b) -18 (c) 1\/38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 4, -0.03, 0.07, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47121 is divided by 244.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244131198 is divided by 3968?\nAnswer: 3966","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 74500974?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*1.709652.\nAnswer: 1.709652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18198530.\nAnswer: 2, 5, 7, 499, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 37289068 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k + q - 212 + 168, 34 = 5*q + 14 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, s: 2, n: 1, v: 1, q: 2, a: 1}. What is prob of sequence vuun?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + sqrt(96)\/(-2*sqrt(12)))\/(sqrt(4)*2*-6).\nAnswer: -sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 0.1 (c) 0.23 (d) -96 (e) -7\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 64811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**2 + 10 - 2*f**3 - 3 + 0 - f**4 to the form g*f**4 + l + h*f**2 + j*f**3 + u*f and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/6 + 2\/3. Calculate the remainder when 71 is divided by -24*1*(-1 + o).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-38)\/(-4) + (-3)\/(-6). Suppose -3*w = -4*s + 3*s + 11, -2*s + d = -2*w. Let k be (-1)\/3 + (-1)\/w. Solve k = -2*r - r + 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/1*(-6)\/(-2). Let w = 156 - 156. Is -1*(w + y + -208) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-14)\/91)\/(66\/(-61)). Let u = -2\/39 + h. Let w = -1\/5405 - 708049\/32430. Calculate the common denominator of w and u.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**2 - u + 332875. Let o(i) = -4*i. What is o(j(l))?\nAnswer: 8*l**2 + 4*l - 1331500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**2\/5 + 33393*x\/5 + 33408 = 0. What is x?\nAnswer: -5, 11136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14100504, 28201023, 42301540, 56402055?\nAnswer: 70502568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -4*g. Let p(i) = -2*i + 1. Let r(j) = 7*j - 4. Let v(a) = 12*p(a) + 3*r(a). Calculate b(v(f)).\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/7 - (76\/7)\/2. Let m(b) = 3*b**2 - b**3 - 6*b**2 + 4 - 5*b**2 - 5*b + 2*b**2. Determine m(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4*d = 8 + 8, -5 = -2*g - 5*d. What is the remainder when 99\/(-6)*4\/(-6) is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (-3876)\/(-15) - (-3)\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -57960*(-2 - (-19)\/(-3)). Round u to the nearest 10000.\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 16 = 5*v + 19847, -14875 = -3*b + 2*v. Does 19 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f + 0*f + 5*f + 2*f + 0*f + 0*f + (0*f - f - f)*(1 + 1 - 4))*(-2*f - 8*f - 8*f) in the form m + t*f**2 + j*f and give t.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 308 = 7*h + 4*c, 5*c - 101 = -h. What is the highest common divisor of h and 12567?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/8)\/((-108)\/(-72)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 3*v + 7. Let g(n) = n**2 - n + 1. Determine f(k) + g(k).\nAnswer: 2*k**2 - 4*k + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**3 + 3*k**2 - k - 1. Let y be j(2). Let b be 349\/y + (-3)\/21. Let c = b - -61. Calculate the remainder when 30 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z - 1. Let g(f) = -21*f + 8. Let r(j) = -g(j) - 5*y(j). Suppose -p - 1 + 3 = 0. What is the units digit of r(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 6*j**2 - 2*j - 8. Let o be h(-6). Suppose -2*z + 11 = -o*l - 3, 0 = z + 1. Let t be (0 - l\/(-4))\/(-1). Solve -t - 2 = -y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2906*g**3 - 1455*g**3 - 1449*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17984 by -2118.\nAnswer: -8992\/1059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -412.05 + 412. Put -3\/4, -2\/11, r in descending order.\nAnswer: r, -2\/11, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 3*n - 5. Is h(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1673?\nAnswer: 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/27 and -35\/3.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1782) + sqrt(1782)*-2)*2 + (3*2*sqrt(1782) - sqrt(1782)))\/((sqrt(98)*2*5 - sqrt(98))*-1))**2.\nAnswer: 99\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1613.68152 rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 555862670 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k + 35. Let j(z) = -2*z**2 - 6*z + 4. Let f be j(-4). Let m be r(f). Suppose -m*o = -14*o. Are 6\/11 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103681948 a multiple of 813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28*3\/294*3\/12*-7.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 102 = 3*f, -3*p - 3*f + f + 153 = 0. Suppose 0 = 2*b + b - p. Is b a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/4)*v*v*v*((v\/v**(-6)*v)\/v)\/v*v*v*v*v*v*v)**22*(v**1*v)**(-37)\/((v\/(v**(1\/4)*v))\/v)**(-46) assuming v is positive.\nAnswer: v**182","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322 is divided by 106.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 448209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.7 in 2\/115, -2, 2, -1.18, -2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 14 = -f - 7*r, 50 = 2*f - r. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**(4\/3)*n*n**(2\/5)*n*(n**1)**(2\/43) assuming n is positive.\nAnswer: n**(1363\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.22 in 2, -0.1, 1.6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 52d12c8?\nAnswer: -52d12c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 225427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2882, -2856, -2830, -2804, -2778?\nAnswer: -2752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -3*l - 5*o, -22 - 8 = -3*l - o. Let m = -6 + l. Let a be (-2 - m*-2)*1. Solve a*h = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -517 - -19?\nAnswer: -498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 0.2 (c) -3 (d) 2139 (e) -3\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 2*n - 3*n)*(-7*n - 5*n + 4*n + (-1 + 1 - n)*(-5 + 5 + 1)).\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -79 - -223. Is m a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l - 4*l - 4*l + 3*l. Suppose 6*k = 2*k. Let t(o) = o - 2*o + k*o. Determine t(f(z)).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 12:56 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4.7, -27, 1.7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 7*w. Let m(p) be the first derivative of 5*p**2\/2 + 13. Let t(f) = 5*l(f) - 6*m(f). Let z(o) = o**2. Determine t(z(h)).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*a**3 - 95*a**2 - 70*a = 0.\nAnswer: -2\/3, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000059 to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**2 + 2*g**2 + 2*g**4 + (-g + 0 + 0)*(7*g**3 - 18*g**3 + 10*g**3) + g**4 + 2*g - 2*g.\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -b + 3*b. Calculate the greatest common factor of 9 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - v + 7 = 0, 5*v = -5*x - 0*v - 10 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (11 - 8)*2*(-1)\/30. What is the closest to 4 in u, 3, 2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24\/11, -0.1, -0.2, -2 in decreasing order.\nAnswer: 24\/11, -0.1, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*z + 392 = 132*z. Solve 16 - z = -3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 233 + -33?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9064 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/7, 0.2, 2, 10.4 in decreasing order.\nAnswer: 10.4, 2, 2\/7, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**2 - 72580*l + 12436624 = 0. What is l?\nAnswer: 173, 17972","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 27 + 3\/((-9)\/12). Let v = l + -10. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4403413 (base 6) to base 4.\nAnswer: 311112201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0 = -4. Suppose 5*q - 24 + t = 0. Let o be ((-6)\/4)\/(6\/(-12)). Solve a + b = 7, -5*b + o = -2*a - q for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**1)**(2\/135))**(4\/19) assuming d is positive.\nAnswer: d**(16\/2565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36 - 1284*d + 3*d**2 + 1284*d)*(6*d - 2*d - 3*d + (2*d + 0*d + 0*d)*(-3 + 4 - 3) - 2*d + 2*d + d + d - 4*d + d).\nAnswer: -12*d**3 + 144*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 524246.1 meters in nanometers?\nAnswer: 524246100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 2 + 3)*(-1 + 1 - d)*(-2 - 3 + 4)*(-3*d + 0*d - d) to the form g + u*d**2 + m*d and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 15, -15, -85, -213, -417, -715?\n\"Answer: -3*v**3 - 2*v**2 - 3*v + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 278*d - 274*d - 10332 = 0. Is d a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10528 + 10778. What is the remainder when 563 is divided by t?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 150757?\nAnswer: -10\/150757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 516*y**4*z**2 - 8*y**3*z**2 + 100*y**3*z - 3*y**2*z**2 + 2*y**2 + 1595632 wrt y.\nAnswer: 12384*y*z**2 - 48*z**2 + 600*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**(-1\/4)*b))\/(b**(-7\/3)\/b))\/(b*b**4)**11 assuming b is positive.\nAnswer: b**(-635\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 1, 0.1, 2\/13, 156, -3 in decreasing order.\nAnswer: 156, 1, 2\/13, 0.1, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 1. Let d = -45.8 + 46. Let u = 0.4 - d. What is the third biggest value in u, -3\/4, c?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 2, -1271.64?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 - 110110221?\nAnswer: -110110233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -c**6\/720 - c**5\/120 + 6*c**4 - 27*c. Let j(a) be the third derivative of u(a). Give j(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -47*b**2 + 113 + 8*b - 3*b - b + 166*b**2. Let o(n) = 120*n**2 + 6*n + 114. Let g(d) = -3*i(d) + 2*o(d). What is the first derivative of g(p) wrt p?\nAnswer: -234*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 4*q - 41 + 57 = 0, -g + 2 = -3*q for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1595 is divided by 263?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1975592397.\nAnswer: 3, 31, 499, 42571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -1 - (-31 + -3 + 6 + -21 - 0).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -0.1 (c) -14 (d) -110\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f + 20*f = -4. 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 prob of picking 1 r and 2 s when three letters picked without replacement from ddkrkskbssksbsksrs?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -15207 (base 8) to base 10\nAnswer: -6791","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x**2 - x - 171 + 173 + 4*x**2 + 2*x**3 as s + r*x**2 + n*x + i*x**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**3 - 2*r**2 + 3*r + 6. Let t = 9 + -4. Is j(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -65 - -65. Suppose 3*z - 5*q - 38 = -6*q, 5*q + 20 = n. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3198*a*x**3 + 2548*x**3 wrt a.\nAnswer: -3198*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.28842 to three dps.\nAnswer: -0.288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23*k**4 - 3*k**4 + 6*k**4)*(-2 + 4 - 3) + 2*k**4 + 2*k**2 - 92 + 44 + 39 in the form i + l*k + q*k**2 + z*k**3 + g*k**4 and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -382697, -765396, -1148095, -1530794?\n\"Answer: -382699*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -29308273 minus 8862?\nAnswer: -29317135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 85*u**4\/2 + 53*u**3\/2 - 9*u**2 - 9*u - 37. Factor j(c).\nAnswer: 3*(5*c + 2)*(34*c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + -11427.416.\nAnswer: -11429.416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1519c1a - 0?\nAnswer: 1519c1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 30. Let q be 1*(-1 + 5 + (1 - 5)). Let a be b(q). Let i = -23 - -38. What is the greatest common divisor of a and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -16, -41, -72, -109?\n\"Answer: -3*s**2 - 16*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55\/2 - 28. Let b = 2.232 - -0.768. What is the biggest value in 0, b, o, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**4 + 2*z**3 + z**2 + z - 2. Let v(y) = -41*y**4 + 19*y**3 + 6*y**2 + 8*y - 8137. Let n(p) = -6*k(p) + v(p). What is the derivative of n(q) wrt q?\nAnswer: -188*q**3 + 21*q**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (30\/4 + -6)\/(3\/1662).\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78664.1832 rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of j**5\/80 - 11*j**4\/12 + 26*j**3 - 360*j**2 - 17*j - 39. Factor a(z).\nAnswer: (z - 20)*(z - 12)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34770906 and 15?\nAnswer: 173854530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-52)\/(-4))\/(1958632\/(-8144))?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mjmm when four letters picked without replacement from {j: 6, g: 9, m: 4}?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 715036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20002739\/306 + 1163968\/17. Let v = -3104 + q. What is the common denominator of v and -79\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 1. Let j be d(-4). Suppose 5*h = j*u + 25, -5*u - 2*h - 70 = 2*h. Let s = -5 - u. Is s even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3133620 or 3133626?\nAnswer: 3133626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, z: 2, u: 9}. Give prob of sequence jzj.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -5*o**4 - 25*o**3 - 40*o**2 - 20*o = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 56317\/56 - (-2)\/(-7). Let q = j - 1010. Calculate the common denominator of q and 190\/6*(-4)\/(-10).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6134683327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.7 + 0.2. Let y = 0.1155 - 4.1155. Put y, n, 7, 0 in increasing order.\nAnswer: y, n, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -19, -36, -63, -106, -171, -264, -391, -558?\n\"Answer: -g**3 + g**2 - 13*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -5*h + 3. Let i(j) = -10*j + 6. Let b(l) = 3*i(l) - 5*u(l). Let v(y) = 4*y - 4. Let g(q) = -3*b(q) - 2*v(q). Does 13 divide g(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4543912?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 - 2*y**2 + 3*y**2)*(-5 + 3 + 4) + (-2071 - 1983 + 3921)*(12*y - 36 + 36)*(2*y + 2 - 2).\nAnswer: -3194*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/26 and -31\/78170?\nAnswer: 1016210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-51*(-6)\/9)\/2. Let z = g + 5. What is the lowest common multiple of z and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-96)*19962\/(-11090)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -458 and -4.\nAnswer: 1832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = h - 0*h. Let n be (285\/18 - h) + 3\/18. What is the highest common divisor of 56 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g + 1. Let y be c(4). Suppose 10 = 5*q, -3*q + 36 = -y*w - 0*w. Let u(r) = r**2 + 3*r - 6. What is the remainder when 22 is divided by u(w)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -226 + 382. Let q = -97 + o. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/249 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4376229 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 15*b**2 - b - 2. Let f(q) = q**3 + 61*q**2 + 8*q - 55. Let s(v) = f(v) - 3*w(v). Calculate s(-15).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - -146*48\/(-720)\nAnswer: -26\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 1 + 0 = 0. Let h be (4 - -9)\/(t\/3). Suppose n + 0*n - 27 = 5*g, g - h = -n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 368 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -312998 divided by -1106?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 186 - 42. Suppose 13*x = 5*x + f. Calculate the common denominator of 101\/30 and x\/72 + 37\/(-8).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 12:23 PM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3 = 6. Suppose -j = -0*j + u, 3*h = -j - 15. Put 4, 5, h in decreasing order.\nAnswer: 5, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3071 is divided by 176.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43 + 6794207.\nAnswer: 6794164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14 - 9 - (-4 + 4)\/(-4). Put 1, 4, l, 9 in decreasing order.\nAnswer: 9, l, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 49.21 and -9.\nAnswer: -442.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -5*r**3 + 1662*r**2 + 3342*r + 1687. Let g(m) = -14*m**3 + 4988*m**2 + 10026*m + 5056. Let w(b) = 8*a(b) - 3*g(b). Find v, given that w(v) = 0.\nAnswer: -1, 836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -3*m**5\/10 - m**4\/12 - m**3\/6 - m**2\/2 + 5*m. Let h be (1*2)\/(-1 + -1). Let z be a(h). Which is bigger: z or 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32\/1105 - -1826\/58565. Are b and -2\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**3 + 2*z**3 - 6*z**3 + 2*z + 3*z**4 as m*z + n*z**4 + i*z**3 + c + h*z**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qggggqggqgg. What is prob of sequence qggq?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -181 (base 14) to base 4\nAnswer: -10311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 4, -4*i + 0*b + 57425 = -b. Does 194 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3988, -8183, -12602, -17245, -22112, -27203?\nAnswer: -32518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19505 * -270.\nAnswer: 5266350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 3)*(-2*o**3 - 3*o**3 + 7*o**3) - 7*o**3 - o**2 - 5*o**3 + 13*o**3 - 3*o.\nAnswer: -3*o**3 - o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 8694*q**2 + q + 1. Let b = 31 + -38. Let g be s(b). Suppose 47*z - g = 44*z. Round z to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 59 + -57. Let k(j) = j**y + 38*j + 4*j**2 - 6 - 38*j. Let n(v) = 9*v**2 - 11. Calculate 11*k(z) - 6*n(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24 - -10441?\nAnswer: 11020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 230994 to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*s - 3*l, l + 2*l + 66 = 4*s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*c**3*j*p**3 + 53*c**3*j + 2*c**3*p + 3*c**2*j*p**3 - c**2*j - 5*c*p**2 - c*p + 228*p**3 wrt p?\nAnswer: 42*c**3*j + 18*c**2*j + 1368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-3) - -2)\/((-4)\/6). Let d(k) = -k**3 - 6*k**2 - 7*k - 7. Give d(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -4*c - 25. Let w(g) = -4*g - 7. Let u(t) = -3*l(t) + 6*w(t). Let d(m) = -5*m**2. Calculate u(d(z)).\nAnswer: 60*z**2 + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35787 is divided by 95?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1190*i - 2088*i = -53880 for i.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 9 - 3. Suppose 4*c - 14 = -2*y, -w*y - 2*y = -15. Put c, 4, 3\/5 in increasing order.\nAnswer: 3\/5, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 801527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -362539?\nAnswer: -2\/362539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(162) - (4 + sqrt(162)))**2.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 23 - 10*u - 11)*(2 - 2 + 1) + (-4 + 1 + 2)*(-u + 0*u - 2*u) as x + v*u and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/z**(-29)))\/(z\/(z*z**27))*z*z*z**0*z*((z*z*z**(-17))\/z)\/z)**18 assuming z is positive.\nAnswer: z**(-288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 977 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 8023*f + 369*f - 512*f - 147*f)*(0*f - 2*f - 2*f) to p + k*f**2 + c*f and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uy when two letters picked without replacement from {m: 2, y: 3, u: 1, l: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53972632?\nAnswer: 2, 7, 379, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -815*t = 484*t + 415*t - 51420 for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -221, -218, -215, -212?\n\"Answer: 3*i - 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 57318.336 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 63715582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13332412 (base 5) to base 11.\nAnswer: 936a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i - 3. Let n(h) be the first derivative of 3*h**2\/2 + 10*h + 74. Let d(l) = -l - 4. Let y(w) = 5*d(w) + 2*n(w). Give q(r) - 4*y(r).\nAnswer: -2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = -3*x + 2. Let p = x - -25. Put 0, p, 1 in increasing order.\nAnswer: p, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (-11 + (46 - (24 + (-15 - -12))))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = -13*d + 556. Which is greater: d or 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3366*c - 3373*c + 29 = -5*g, -23 = -c - 4*g for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*c + 3048 + 1116 = 0, 0 = 4*z + 5*c - 8310. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**3 + 26*g + 6 - 605*g**2 - 3 + 0 + 606*g**2 + 41*g to m*g**3 + t*g**2 + c + p*g and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-5)*30\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -9449*y - 15. Let t(q) = -9451*q - 20. Calculate 4*s(a) - 3*t(a).\nAnswer: -9443*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4478 - -4596.12. Let b = f - 118. Does 2\/3 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - -10056985.\nAnswer: 10056984.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27073 or -19306?\nAnswer: -27073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -272, -528, -784, -1040, -1296?\nAnswer: -1552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8637?\nAnswer: 3, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 2*l - 223, 85 = 2*k - l - 4*l. Let f be ((-4)\/5)\/(18\/k) - -15. Solve -3 = 2*x - f for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*n**3 + 12*n**3 - 3*n**3 + 4 - 2*n + 0*n**3 to the form u*n**3 + h*n + k*n**2 + x and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008050519 to 5 decimal places.\nAnswer: 0.00805","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + q**2 + 1. Let a be (-5 - -49)*(18\/(-12) + 2). Let v(h) = 2*h**3 - 11*h**2 - 11. What is a*l(m) + 2*v(m)?\nAnswer: -18*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, v: 1, a: 3, d: 4, o: 7}. What is prob of picking 1 o and 3 d?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/1450)\/((-19)\/(-38)).\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -74, -2\/5, -146.1, -0.1, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000567077 rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -123 + 0?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -3*y + 6. Suppose 3*w - 1 = 2*w, -3*f + y = -4*w. Which is bigger: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -229 plus 475101961341?\nAnswer: 475101961112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.1 - 1.9. Let r = -56 - -125. Let o be (-6)\/39 - r\/312. Which is the closest to 0? (a) 1\/2 (b) m (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 - 130 = -o - 2*p, 2*p = 2*o - 516. What are the prime factors of o?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3630) - 2*sqrt(3630) - (1*sqrt(120) + sqrt(30)))\/(sqrt(864)*1*6 - sqrt(864)).\nAnswer: -7*sqrt(5)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 - -62. Solve -t = 46*d + 296 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324*n + 785*n = 192*n - 14672 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-39926)\/36 + 10\/45 + 0. Let b = -1116 - s. Calculate the common denominator of b and 53\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f**2 + 16*f + 38. Let b(d) = 3*d**2 + 9 - 24 - 16*d - 22. Let z(q) = 6*b(q) + 5*p(q). Solve z(y) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*c = -74*c - 13. Suppose -c*d + 60 = 7*d. Solve -d = -6*f - 15 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (104\/32 + -4)\/((-9)\/3387372) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 3:16 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of 2*t**7\/21 - 8*t**6\/15 + t**5\/5 + 10*t**4\/3 - 8*t**3\/3 - 16*t**2 + 6*t. Solve x(s) = 0 for s.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2504, -2554, -2604, -2654?\n\"Answer: -50*y - 2454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n + 11815 - 11815.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1214889050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*x**4 - 466867*x**3 - 25*x**2 - 14986 wrt x.\nAnswer: 240*x - 2801202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence prp when three letters picked without replacement from {f: 1, p: 3, x: 5, r: 3}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.02, 11, -33\/26, 0, 2 in decreasing order.\nAnswer: 11, 2, 1, 0, -0.02, -33\/26","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nodk when four letters picked without replacement from okotodktcnt.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37190.824 + -37424. What is u rounded to the nearest 10?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l**2 - 100*l - 55. What is o(-33)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238 + 73 = -55*h. Let m(o) be the first derivative of -5\/3*o**h + 9 + 14*o + 0*o**2. Differentiate m(j) wrt j.\nAnswer: -10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-seven quarters of a week?\nAnswer: 1134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1431 in 2\/1621, -2, -31, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 14*k**2 - 4*k + 16. Let o(g) = -g**2 + g - 1. Suppose -11*y - 5 = -16*y. Let t(h) = y*z(h) + 4*o(h). Differentiate t(b) wrt b.\nAnswer: 20*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4367721389?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 21.8, -106\/45, -70\/13?\nAnswer: 21.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2054 = 1894. Calculate the highest common factor of 180 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 11. What is the nearest to -1 in u, -1, 2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7532 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a decade in months?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-27)\/i*i)**(-1\/4))**25 assuming i is positive.\nAnswer: i**(675\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 27 = 366*j - 365*j, 39 = 5*k - 4*j for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*h**5\/3 + 220*h**4\/3 + 44*h**3 - 280*h**2\/3 - 146*h\/3 + 20 = 0.\nAnswer: -15, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 6*d + 100 = 0. What is the highest common divisor of 30 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((j\/j**1)\/j)\/j)\/j)**(-49)\/(j*j\/j**(-5)*j**(-1\/4)))\/((j**(-2\/19)*j)\/j*j\/(j**(2\/5)\/j))**(-21\/5) assuming j is positive.\nAnswer: j**(278403\/1900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 0.1, 0.6, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2131 + 2?\nAnswer: 2133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18 + 8 + 28)*(36*h**4 - 13*h**4 + 90*h**4 + 38*h**4) as t*h**4 + f*h**2 + c*h**3 + u + p*h and give t.\nAnswer: 2718","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -6. Suppose 0 = -2*j - 4*r - 8, 36 = -l*j - r - r. What is the smallest common multiple of (1\/1)\/((-2)\/j) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 12. Suppose -z*b + 10 = -2*b. Solve 2*w = w - b for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0559049 centuries in months?\nAnswer: 67.08588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170390 is divided by 56786?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2*(-1 + sqrt(117) + sqrt(117)*1*5)**2.\nAnswer: -72*sqrt(13) + 8421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 871782918.\nAnswer: 2, 3, 41, 197, 17989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*i = 6, j = -0*j + 5*i - 15. Suppose s - 32 = -7*s. Let v be (1 - (-5 + 9)\/8)*s. Solve j*d + 25 = 5*d, -v*z = d - 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v + 36. Let q be k(10). Let a(m) = 1 - q*m + 0 + 7*m - 5. Let g be 3\/(-1*(-2 + 1)). Calculate a(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 13\/4*((-232)\/(-28) - 6)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2300 is divided by 137?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxi when four letters picked without replacement from iiiiixiiiixiiiix.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-6*((sqrt(91)*-2)\/sqrt(7) - (sqrt(1872) + 1 + sqrt(13) + sqrt(13)))**2.\nAnswer: 768*sqrt(13) + 79896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43919*d**2 + 581*d - 41 wrt d.\nAnswer: 87838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0.1, 8.437, 1\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a microgram in nanograms?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5*q = -3*q, -3*s = q - 3. Let x be (-33)\/(-77)*7 - (-12)\/(-10). Let 3\/5*o**s + x*o + 6\/5 = 0. Calculate o.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15593319 to the power of 1\/3, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - w = -0 + 1, 4*r + 137*w = -134*w + 260*w + 47 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bboo when four letters picked without replacement from {n: 1, u: 2, o: 1, b: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i - 7. Let g be h(4). Solve 1 = -2*r - g for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j = -18*j - 648. Calculate the greatest common divisor of 36 and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -20. Suppose h - a = -h. Suppose 5*p - l = 70, 0 = -2*p + h*l - 3*l + 41. Calculate the greatest common factor of 26 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/(-15))\/(2\/(-420)*2). Suppose -3*q + 12 = -3*d, -3*q - 2*q + 3*d = -26. What is the highest common factor of q and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyybbbyybb. Give prob of sequence bb.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3018686 (base 9) in base 6?\nAnswer: 54241040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52476753 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-960)\/1800 + 2\/(-15). What is the nearest to 0.1 in u, 3, 10, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -n**5\/10 + 5*n**3\/6 + 5*n**2. What is the first derivative of j(o) wrt o?\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o**2 - 41*o + 9. Suppose -2*j - 4*v = -7*v - 24, -4*j + 56 = -2*v. What is the units digit of t(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 65*g - 801. Let y be o(12). Let q = 2.4 - 0.4. Which is smaller: q or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -64*f + 6180 - 4324 for f.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*o - 3*k, 4*o + o + k - 14 = 0. Suppose -y = -r - 0*y, o = y. Let 1\/2*m**3 - 1\/2*m + 1\/2*m**r - 1\/2 = 0. Calculate m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7217194.1 to the nearest 10000.\nAnswer: 7220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 119031?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8645 a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1553 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: What comes next: 65, 61, 55, 47, 37, 25?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 56\/420 - 206\/(-30)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 2 + 1. Suppose 3*a - 2*c = -4, b*c - 4 = 2. Suppose a = -2*f + 224 - 56. Is f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 496465319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101111100010000001101 + -1001?\nAnswer: -100101111100010000010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 10:12 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -6*l**3 - 4*l**2 + 52*l + 53. Is p(-14) a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12312 and 291528?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.7 (b) -9.4 (c) 2 (d) 4 (e) 2\/11 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 283 - 257. Suppose -s - 775 = -f*s. Calculate the remainder when 185 is divided by s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63719 is divided by 5792.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*m + 5*m - 1 - 8*m)*(0 + 0 + 2*m**2).\nAnswer: 8*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 102 = b, -b - 2*j = 2*j - 93. Let g = b + -85. Is 3 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {d: 3, x: 4, n: 3, h: 3, z: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/10))**(-20)\/((i\/(i**9\/i))\/((i**(-20)*i)\/i)) assuming i is positive.\nAnswer: i**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -1467 + 1477. What is the least common multiple of 8 and 63865\/(-106)*2\/s?\nAnswer: 1928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 - 63. What is the least common multiple of (-109 + 1)*5*f\/90 and 32?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 52236250 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -g**4\/32 + 167*g**3\/24 - 7371*g**2\/16 + 32805*g\/8 - 3980. Let r(m) = 0. What is m?\nAnswer: 5, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 0*j + 4 + 33\/2*j**2. Let f(a) be the second derivative of -a**3\/3 - a - 7. What is p(f(x))?\nAnswer: -66*x","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let b be 19\/(5\/(-14) - 11\/(-22)). Calculate the greatest common factor of 57 and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5007 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y - y + 7*y = 132 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -58*z + 80*z - 6864. Suppose -z*h = -311*h - 575. What are the prime factors of h?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -1471*x - 5. Let y(i) = -21*i - 1. Determine -u(f) + 3*y(f).\nAnswer: 1408*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111010001100010 (base 2) in base 7?\nAnswer: -544634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-3))\/(((-325)\/30)\/65).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66 + -49. Let m(x) = -x**2 + 31*x - 29. What is the hundreds digit of m(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/143? (a) 0.26 (b) -7\/3 (c) -1\/29 (d) 11\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 20.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**3 + 2*x**2 + 2*x - 1. Let d(i) = -20*i**3 - 5*i**2 - 26*i - 6. Let l(s) = d(s) + 2*m(s). What are the prime factors of l(-5)?\nAnswer: 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, n: 3, d: 4, w: 4}. Give prob of sequence udnw.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11 (b) -153145 (c) -19 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 4*h - 10. Let i be z(5). Let q = 18 - i. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.09, 92\/5, -7 in decreasing order.\nAnswer: 92\/5, 0.09, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -50339*x - 5386283. Determine k(-107).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, s: 2, f: 1, m: 1, p: 1, u: 3}. Give prob of sequence stmt.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -164 - -591. List the prime factors of g.\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2123660641 + -7\nAnswer: -2123660648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.4, -0.3, -1\/6 in decreasing order.\nAnswer: 1, 0.4, -1\/6, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/120 and -79\/924?\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -270 + -5256?\nAnswer: -5546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 317392757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-10))\/(17\/255). Suppose 3*c - 4*c = q - 2845, w*q = 0. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(170)*-1 - sqrt(170))*4)\/(sqrt(30)\/(sqrt(9)\/sqrt(27))).\nAnswer: 40*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -68214 - -376597. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -51*k**3 + 20*k**3 - 27*k**3 + (10*k**2 - 6 + 6)*(k - 4*k + 2*k).\nAnswer: -68*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/8, 5\/3, -3, 0, 4\/5?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -318 (c) -365 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -4, 3, 59, 0, 4\/5 in ascending order.\nAnswer: -4, -0.1, 0, 4\/5, 3, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1.22422613 - 8618.1\nAnswer: -8619.32422613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 + -30. What is the closest to 2\/5 in -0.5, 0, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11 or -0.6542?\nAnswer: -0.6542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 + 2b6040?\nAnswer: 2b6047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17837132147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(5))**2*5 - ((sqrt(50)\/sqrt(10))**2 + -3).\nAnswer: -10*sqrt(5) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/25 of a kilometer?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -1 + (16 - 15).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 67339937 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45930 is divided by 15287?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from awkankjoo. Give prob of sequence kko.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1091004?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 2*s - 84, -2*n - 5*s - 42 = -0*n. Let u = 30 + n. Solve -5*i + 6*p - p - 10 = 0, 3*p - u = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 + -1.5. Let p = 6.15 - 0.15. Let f = -8 + p. Which is the closest to m? (a) f (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324387 is divided by 102?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-21)\/(-6) - 2 - 2\/(-4). Let i be ((-6)\/(-4))\/((-6)\/(-16)). Suppose 5*k = 3*k - 2*k. Solve -u*o - i + k = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219300426 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1787834947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, -2\/7, 1, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3669989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120212001113 (base 4) to base 12.\nAnswer: 21ab01b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.6, 2, -6\/11, -2\/5, 0.2?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b*b*b**(-11\/2)\/b*b)\/b))\/b)\/b**(-2\/7) assuming b is positive.\nAnswer: b**(67\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, m: 1}. Give prob of picking 1 m and 1 v.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 424\/3263 + 6\/251. What is the nearest to 0.1 in 28\/15, 0, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/4 of a century?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - u + 1. Let k(r) = 6*r**2 + 2*r - 2. Let n(z) = 2*a(z) + k(z). Let m be n(-1). Let v(y) = m + 1 - y - 5 - 3*y**2. Give v(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 10:01 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -20140 (base 12) to base 10\nAnswer: -41664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of x**8\/10080 - x**5\/60 - 2*x**2. Let t(i) be the third derivative of c(i). Let m(s) = s**2. Determine m(t(h)).\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(544\/17))\/((-2)\/(-10)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3919 + 282289\/72. Calculate the common denominator of x and 51\/184.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110962 is divided by 606?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71345973.\nAnswer: 3, 31, 767161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -64*q - 1. Let b(v) = 149*v + 3. Let i(z) = 3*b(z) + 7*r(z). Let p(t) = -6 - 1 + 9. What is -2*i(n) + 3*p(n)?\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuuuummquuk. Give prob of picking 2 u, 1 m, and 1 k.\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1755\/34 + -103\/2. Which is the closest to -1? (a) r (b) -3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 120.1 - 120.151. Which is the nearest to 2\/3? (a) -0.3 (b) q (c) -5 (d) -16\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2222\/5 + -445. Let x be 1\/2 - 14\/20. Which is the closest to 2\/7? (a) -0.5 (b) x (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333060 is divided by 27752.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -171 by -61.\nAnswer: 171\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 6*k + 2. Let z be 1\/4 + (-1)\/4. Let g be z - (-8 + 2\/1). What is the smallest common multiple of 16 and s(g)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 123 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f = 6*f. Suppose 0*m = -3*m + a + 62, f = -5*m - a + 106. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.50698 rounded to one decimal place?\nAnswer: 6.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2882597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 4579032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1272000 to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 491068575 to the nearest integer?\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-11 - 0 - -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -35 (b) 1 (c) -3\/8 (d) -3 (e) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216027 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18402 take away 255.85989?\nAnswer: -255.67587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -101*v**2 + 8*v. Let i(j) = 20*j**2 - 60*j**2 + 16*j**2 + 15*j**2 + 11*j**2. Give u(i(l)).\nAnswer: -404*l**4 + 16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68*k**3 + 8*k**2 - 1173*k?\nAnswer: -408*k + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -364 + 413. Suppose -q*d + 91 = -42*d. Solve d = -5*m + 2*c, 3 = 2*c + 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t - 123*t + 1004 + 764 = 0 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -18 + 6. Let x be 89 - (s + -5) - -1. Suppose 4*a = x + 20. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -1. Let t = v - -1. Let d = t - -1. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 834212693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*h - h + 4*h - 3 + 3 - 2*h - 3*h + 0*h + 4*h + h - 3*h + 3*h + 0 + 0 - 2*h + (1 + 3 - 2)*(0 + 0 + 2*h) + (h - 2*h + 0*h)*(2 + 3 - 4) + 2*h + 2 - 2.\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1136632897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - (-1 - 0 - -3). Let y = -4\/19 + 31\/57. Let k = 2.10948 + -0.10948. What is the third smallest value in -1\/13, y, k, n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*j - 238 - 27 = -19. What is the nearest to 1 in 0.28, 3\/2, j, 0.095?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27778 to the power of 1\/2, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x**2 + 200*x + 497. What is w(43)?\nAnswer: 3550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*c - 1968*c**2 + 11*c.\nAnswer: -1968*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/((-18)\/(-4)) + (-7660)\/(-12).\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0022502 to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 714 = -3210. Is 13 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.6, -0.1, 0.5, 168.6 in increasing order.\nAnswer: -2.6, -0.1, 0.5, 168.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 235, 440, 633, 808, 959?\n\"Answer: -x**3 + 212*x + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 2*k**2 + 2*k - 4. Let p be z(-3). Suppose 35 = -148*l + 143*l. Let r = -3479 - -3480. Which is the nearest to r? (a) p (b) 1\/10 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 8*v**2 + 8*v + 12. Suppose -4184 + 1700 = -627*l + 3786. What is m(l)?\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 + 29 + 18*y)*(1 + 0 + 2) - 7*y - 2*y + 5*y.\nAnswer: 50*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/71, 5, 734.\nAnswer: 1\/71, 5, 734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of 4*c**3\/3 - 2*c**2 + 4*c - 2. Let s be a(3). Calculate the highest common divisor of 7 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 3*w - 4. What is v(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -241.9 (b) -3.77 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 177614 + -3643?\nAnswer: 173751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s - 470 = -15*s. Let v = -94 + s. Factor 2\/5*f**5 + v*f + 6\/5*f**4 + 2\/5*f**2 + 6\/5*f**3 + 0.\nAnswer: 2*f**2*(f + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1949*h*u**2 + 1900*u**2 wrt h?\nAnswer: 1949*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2471523, 2471517, 2471507, 2471493, 2471475, 2471453, 2471427?\nAnswer: 2471397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 3*o**2 - 20*o + 47. Let l be a(6). What is the highest common factor of 280 and l?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1694 and -2.\nAnswer: -3388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 2\/3 (c) 3 (d) 117\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22250 by 10.\nAnswer: 2225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*c**2 - c + 3*c + 14*c**2 - c**4 + 3*c**4 + 3 as u*c**3 + g*c**2 + x*c + a*c**4 + s and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**3 + 16*n**2 - 23*n - 5. Let g be k(6). Suppose d + 3*i = -d, 2*d + 5*i + 8 = 0. Suppose -3*o + d = -0. Solve -h - g = o for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 4*i - 24, -i - 28*u + 29*u + 5 = 0. Let o(c) = c - 9. Let q be o(7). Sort 3, q, i in decreasing order.\nAnswer: 3, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 3*y - 46. What is c(-15)?\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5597925.\nAnswer: 3, 5, 101, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 6*o**3 - 13 - 8*o**3)*(-4*o**2 - o**2 + 6*o**2).\nAnswer: -14*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18585358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.02 + -0.28. Let c = 36.7 + 11.7. Let k = -48 + c. Sort k, -1\/3, w in decreasing order.\nAnswer: k, w, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -53*y**5\/10 + y**2\/2 + 7*y. Let a be r(1). Is 16\/(-6)*a\/20 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 93.3 + -93.27. Which is the nearest to h? (a) 1.5 (b) -0.7 (c) 0.5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/59)*r*r*r*r**15*r*r)**35)**(5\/6) assuming r is positive.\nAnswer: r**(34475\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*g - 1032 = 17*g. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-3) - -1)*-6. Let i(y) = y**3 + 9*y**2 + 7*y - 7. Let j be i(r). Solve -3*f + 3*g - 13 = -j, -4*g + 18 = -5*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -82*q**4 + q**2\/2 - 633*q + 2240. What is the second derivative of t(d) wrt d?\nAnswer: -1968*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4346 at least 4354?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 s when four letters picked without replacement from nzsnnszszshsn.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -736401 bigger than -736382?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 41408, -20, 5 in decreasing order.\nAnswer: 41408, 6, 5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 484a1 + -2?\nAnswer: 4849d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 147254940 and 132529446.\nAnswer: 1325294460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t - 46. Give l(-26).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19*g**4 - 4*g**3 - 170 wrt g?\nAnswer: 76*g**3 - 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*n + 54 = 0, 0*s + 5*n + 22 = 2*s. Let o be 15*(-3)\/(-9) + 1. What is the greatest common factor of s and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4011341 - 1?\nAnswer: 4011340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32\/2 - (29 + -27) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 384653, -1\/4, -2, -4 in descending order.\nAnswer: 384653, 6, -1\/4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 48819576 to the power of 1\/3, to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 302309061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 3:56 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.596208g to tonnes.\nAnswer: 0.000005596208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -35, -62, -75, -68, -35, 30?\n\"Answer: y**3 + y**2 - 37*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -110 and -110 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*o - 11, n - 3*n = -4*o + 30. Suppose 4*k + 5 = 5*k. Solve -v - k*z = -6*v + 10, -2*z = -3*v + o for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, 0.2, -25, 7, -2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 111*g**4 - 5*g**3 - 2691*g?\nAnswer: 1332*g**2 - 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjvjvjvj. What is prob of sequence jj?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -2, -0.08, 2\/9?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-8))\/((-2)\/(-4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5440 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - k = 0, 4*k - 10 = 4*u + 6. Let j be (-1)\/(2\/124*u). Solve -j = 2*x - 5*y, -y = x - 4 + 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + -1.3.\nAnswer: -31.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*l**3*v**3 - 2*l**3*v + 17259174*l**2*v**2 - 28131105*l*v**3 - l*v wrt v?\nAnswer: 18*l**3 - 168786630*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -605\/926?\nAnswer: -605\/926","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -12.7357, 1\/6, -30, -5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -32 in 1\/4, 0, -10\/3, -79\/6, -0.11, 1?\nAnswer: -79\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(77)\/(sqrt(11) + 1*sqrt(539) + sqrt(539) + sqrt(11)))**2 + 3.\nAnswer: 391\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5 = 7. Let f(m) = m**3 - 6*m**2 - 6*m + 3. Let p be f(7). Let z = p - -6. Solve -c*g - z - 4 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h. Let l(n) be the first derivative of -3*n**2\/2 + 2*n + 9. Determine -2*k(j) + l(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 (base 8) in base 14?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 2:20 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -s**3\/5 + 12367*s**2\/5 + 24749*s + 61885 = 0.\nAnswer: -5, 12377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -4. Let v(c) = 8*c**3 - 10*c**2 + c + 22. Let s(f) = -2*f**3 + 3*f**2 - 6. Let y(g) = -7*s(g) - 2*v(g). What is y(z)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.4 in 5, 8, 1\/7, 0.442?\nAnswer: 0.442","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*m - 36 = -97*m + 200*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9748313 to three decimal places.\nAnswer: 0.975","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2700) - (sqrt(2700) + sqrt(2700)*2 - sqrt(2700)) - sqrt(2700))\/sqrt(9) + (sqrt(147) - (3 + (sqrt(147) - sqrt(147)*3))).\nAnswer: -3 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1318\/7 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/5 of a minute in seconds?\nAnswer: 1044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -157, -334, -511, -688?\n\"Answer: -177*g + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 0. Suppose 4*x = 5*x + f. Sort x, -5, -3 in increasing order.\nAnswer: -5, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2952165 is divided by 210868?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0101619 rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3839.2 - 3473. Let j = -367 + s. Sort j, 19, 5.\nAnswer: j, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2324*g = -2332*g - 1104. Is g less than -140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2345 (base 6) in base 9?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 12:57 AM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 3, 4 in decreasing order.\nAnswer: 4, 3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10398930 is divided by 2288.\nAnswer: 2258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 18781728 (base 9) in base 12?\nAnswer: 3222782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -17050\nAnswer: 51150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -193493*0.02.\nAnswer: -3869.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + o - 1. Let g(q) = 3 + 5*q**2 - 2*q - 4*q**2 + 2*q - 3*q. Let z = -1 - -4. Let t be 6\/(-2)*(2 - z). Calculate t*x(v) + g(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -223*0.9.\nAnswer: -200.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 19.04 (b) 4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3*s**3 - s**2 + s - 1. Let m be 2\/6*6 - 1. Determine x(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/3)\/(((-3)\/36)\/((-31)\/(-124))).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30030434 - -13023?\nAnswer: -30012411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(-26)*(-12)\/(-2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 39 = 3*w, 5*w + 2*l - 75 = -12. Calculate the remainder when 8336 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i = -3*i + 68. Let d be 0*((-2)\/(-42) - i\/(-14)). Sort -5, d, -4, -2 in ascending order.\nAnswer: -5, -4, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3784 is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 6\/3199 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j - 6. Let q be y(-3). Suppose 2*s**2 + 5*s**q - 24*s + 13 - 7*s**2 - 28 - s = 0. What is s?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 10*x**2 - 6*x - 22. Let y be a(9). Suppose 109 = y*b - 41. Let u be b*(-3)\/18*-3. Calculate the highest common divisor of u and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8349, 33381, 75097, 133497, 208581, 300349, 408801?\nAnswer: 533937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 12:26 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283*i + 7821 = 46*i for i.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/4)\/(7\/812) + 4. Suppose q*g - 6*g = 33040. List the prime factors of g.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 665 = -7*w. Suppose -w = -5*h - 78. Solve -h = 3*y - j, 4*j - 7*j - 12 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (59 - 38) + (26 - (9 - 2))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-6\/11)*y*(y*y*y*y**(-2\/13))\/y*y**(3\/4)*y**(-4)*y)\/((y**(1\/7)*(y\/(y*y**4))\/y)\/(y*y*y*(y*(y**1\/y)\/y)\/y)**(-6\/11)) assuming y is positive.\nAnswer: y**(15283\/4004)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*x**2 - 4 - 1)*(-3 + x**2 + 3) + (-13*x**3 + 3*x**3 - 6*x**3)*(-5*x - 8 + 4*x - 20).\nAnswer: 18*x**4 + 448*x**3 - 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 6 = -2*a, -a = 3*a - 5*p - 7. Let c = a + -4. What is the units digit of (-24)\/(-2) - (c + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17483, -17487, -17505, -17543, -17607, -17703?\nAnswer: -17837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 35. Suppose b = -3*h + 7*h. Let l(p) = -p**3 + 10*p**2 - 4*p + 9. What is the units digit of l(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) 1\/23 (c) 3223\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rgljyjj. What is prob of sequence lryj?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6023 + -2?\nAnswer: 6021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.7 - 4. Let t = -33 + 67\/2. What is the closest to t in m, -1\/4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2288 and 74425472.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 d, and 2 w when four letters picked without replacement from wfwzwzfffwdhdf.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 533689 and 2379?\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3132 (base 6) to base 8.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24746816 a multiple of 752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 9) to base 5\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 2384328.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4772 * 0.56.\nAnswer: -2672.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * 0.03541\nAnswer: -0.0021246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 4*f - 8. Let g be c(-6). Is (259\/(-28))\/((-1)\/g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -370 - 0?\nAnswer: -370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3716 = 84*k - 156*k - 692 for k.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 6 + (-11 - (-43 + 37)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 0. What is the remainder when -1 + (-2 - (1 - 27)) is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -0*d - d + 65, 0 = 2*d + 5*z - 145. Suppose 9*l = 4*l - d. What is the units digit of (l\/(-7))\/((-2)\/(-7))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-129)\/(-258))\/((72\/6)\/(-3)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 1 + 2 - 2*u**2 + (-u + 2*u + u)*(3*u + u - 2*u) + (2*u - 3*u - u)*(-52*u - 24*u + 9*u).\nAnswer: 136*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/5 - 2236*h\/5 + 624962\/5.\nAnswer: 2*(h - 559)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 divided by -7014283.\nAnswer: 38\/7014283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58\/3 + 287\/15. Let f = -0.0674 - -0.0774. Sort -2\/11, 3, f, a in increasing order.\nAnswer: a, -2\/11, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of 7*r**3\/3 - 43*r**2 + 3*r + 3. Let h be a(7). Is 12 at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8856 + -61995\/7. Let n = -59 - -296\/5. Which is the biggest value? (a) -5 (b) u (c) 0 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 2*r - 3. Put 2\/3, r, 0.5 in increasing order.\nAnswer: r, 0.5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*s + 3*s = -5, 0 = 3*a + 2*s + 10. Suppose 4*n - 40 = -4*d - a*n, 4*n + 50 = 5*d. Suppose -d*u + 2822 = -3528. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 3*z - 42. Suppose 4*i - 56 = -a, 4*i + 2*a - 6 = z. Suppose -4*d + 67 - i = 0. Is 13 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1e52 (base 15) to base 7\nAnswer: 25151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 145966935 divided by -59457\nAnswer: -2455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 10*p - 16. Let s be i(2). Solve 14*c + s = 18*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + (-216)\/(-2))\/1. Suppose -2*u + 38 = -74. Let t = m - u. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.2691 - -0.0349. Let x = 1 + -1.004. Let v = a + x. What is v rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 6. Let b(q) = -q**3 - 5*q**2 + 5*q - 3. Give b(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(304)*-4 + -5 + 2*(sqrt(304) + sqrt(304) + 2 + sqrt(304)) + sqrt(304) + sqrt(304) + -1)**2.\nAnswer: -64*sqrt(19) + 4868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3\/4 + 1599*x**2\/4 - 402*x - 801.\nAnswer: 3*(x - 2)*(x + 1)*(x + 534)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -120222 (base 3) in base 10?\nAnswer: -431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1311*t + 9 - 4 - 5 + 498*t to the form j + h*t and give h.\nAnswer: 1809","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 2*r**3)*(r - r + r) - 1177*r + 1177*r + 50*r**4 to the form j*r**4 + u*r + q + n*r**2 + k*r**3 and give j.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxqjxqgxxjpg. Give prob of sequence qg.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -d**3\/3 + 7*d**2 + 20*d - 2. Let h be m(16). What is the common denominator of -47\/3 and ((-67)\/h)\/(10\/(-15))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -15*j + 219. Calculate s(18).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 853843?\nAnswer: 853843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -52330 rounded to the nearest 1000?\nAnswer: -52000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = h - 33, -2*h - u - 11 = -66 - 20 for h.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-7)\/4 - 8\/16.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 212 + -209. What is the second smallest value in -0.05, y, -0.3, 4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**4\/5 + 18*a**3\/5 + 98*a**2\/5 - 882*a\/5 = 0?\nAnswer: -7, 0, 7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -6.4, -2, 0.13 in descending order.\nAnswer: 0.13, -2, -6.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 925411055.\nAnswer: 5, 19, 809, 12041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -218 < -218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**3 + 2*n**3 + 3*n**5 + (0*n**2 - n**3 + 0*n**2)*(n - n + 2*n**2) + (17*n**2 - 34*n**2 - 9*n**2)*(n**3 + n**3 + 3*n**3).\nAnswer: -129*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, y: 4, p: 5}. What is prob of sequence pj?\nAnswer: 25\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (846\/(-4230))\/(38\/(-20))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/4 - -2)*6. Suppose -s - 2*b = b + 2, 0 = 3*s + 5*b + 2. Solve -2*w + 3*o + a = 0, -2*w = -3*w - o - s for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xdxx when four letters picked without replacement from {x: 4, n: 7, d: 3}.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 - 2*b**2 + 8*b**2 - 29364*b.\nAnswer: 4*b**2 - 29364*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v. Let t(l) = -2*l. Let k be 76\/(-19) - (-5 - 0). Let n(s) = k*t(s) - x(s). Let i(r) be the third derivative of -r**5\/2 - 36*r**2. Give n(i(y)).\nAnswer: 30*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -84.1 rounded to zero decimal places?\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296 = 34*w - 30*w + 4*y, -w - 2*y = -78. What is the highest common factor of 2000 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.05, -0.3, -1, -36 in ascending order.\nAnswer: -36, -1, -0.3, -0.05, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.57491 and 1556?\nAnswer: 894.55996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -107057, 44 in descending order.\nAnswer: 44, 3, 0, -107057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -50.463 (b) -0.5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1054 = -8*w + 153*w + 43*w + 9474 for w.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5359\/9 - 596. Let o = 528253\/63 - 25157\/3. Let s = o - k. Which is the smallest value? (a) -5 (b) 0.3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 10:22 AM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 45*k - 44*k + 5 = 0, -b = -4*k + 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.4 - 53709264?\nAnswer: -53709270.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.302485 minus 0.8?\nAnswer: -0.497515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -4. Let b = -5 - t. Which is bigger: 2 or b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 32101347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 457982009 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 78489.11 minutes in nanoseconds?\nAnswer: 4709346600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19 - -3cb?\nAnswer: 3b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-15) + 46\/(-10)*2. Let i(f) be the first derivative of -f**4\/4 - 10*f**3\/3 - 11*f**2\/2 - 5*f - 2. Calculate i(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*u - u**4 + 2*u**4 - 6*u**3 + 5*u**3 as v + x*u**3 + o*u + h*u**2 + t*u**4 and give o.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b = 15*b - i, -141*b + 70*b - 2*i = -68*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 9:51 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, l: 3, o: 2, n: 1}. Give prob of sequence do.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**3 + 2*q**3 - 5*q**3)*(3 - 3 + 3*q)*(0*q - 2*q + 7*q).\nAnswer: -15*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 23 = x, -x + 0*x - 90*o - 15 - 12 = -85*o for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145 divided by 2852057.\nAnswer: -145\/2852057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0179504 and 0.96.\nAnswer: 0.017232384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1315205 is divided by 20545.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 - 174*w**2 - 508*w - 336.\nAnswer: -2*(w + 1)*(w + 2)*(w + 84)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 1873732?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 + -22 - 3)\/(-3 - -8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((7 - 13) + 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 29.5. Let h = 35 + -18. Let g = s - h. Round g to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20057347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 16*v**2 - 15*v + 34. What is a(15)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4792 - -5684. Is x not equal to 894?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 200202?\nAnswer: 200211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 2, 2\/3, -16?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 122903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (1*2\/6)\/((-52)\/(-1083732)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -6*j + 28. Let q be r(-18). Suppose -q = 7*n - 164. Suppose 0 = 4*i + 4*c, -3*i = -5*c + 4*c - 20. Solve -n*b = -i + 21 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1371259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from joz. Give prob of picking 1 j and 1 z.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5 = 3*k - 4, -3*k + 3*z = 6. Let n be (k\/3 + 150010\/30)*-428. Round n to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0040342 to 4 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f + 6*f + 55 + f + 0*f - 84.\nAnswer: 4*f - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 91\/3 - 31. Suppose -3*a = -5*c + 19, 5*a = -2*c - 8 - 3. What is the third biggest value in c, -5, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124\/(4712\/(-57))*(-12)\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 3 + -10 + (-13 - -19).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of 2*b**7\/105 - b**6\/15 - b**5\/5 + 4*b**4\/3 - 8*b**3\/3 + 9*b**2. Factor m(n).\nAnswer: 4*(n - 2)*(n - 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 2*t + 160 = 0. Suppose 21*z = t*z + 5. Let k(x) = -20*x + 8. Let q(s) = 13*s - 5. Calculate z*k(f) + 8*q(f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -10*p**2 - 2*p + 1. Let b be w(1). Let g = 11 - b. Suppose 5*d = -3*s + g + 75, -d + 5 = 0. Does 9 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 14. Let k(d) = -29*d - 26. Let i be k(-1). Suppose -2*f - 4*q - 1 = -9, -4*f + i*q + b = 0. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -11. Let m = -5607.9 + 5608. Which is the fourth biggest value? (a) n (b) 5 (c) -4 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -3*p**4\/4 + 8*p**3 - 15*p**2\/2 - 150*p - 10. Determine j so that z(j) = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((0 + 1)*-77)\/(-1). Let u = 11 - -11. Let g = f + u. Calculate the greatest common factor of 9 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 1818*h**2 + 6092. Let f(t) = -t. Give y(f(u)).\nAnswer: -3636*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273*w + 1396 - 11484 = -2737 + 13124 for w.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -3648?\nAnswer: 18240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005316331798 to 7 dps.\nAnswer: -0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0234 to three decimal places.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 12:45 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9605.021 litres?\nAnswer: 9605021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lnkg when four letters picked without replacement from {l: 2, n: 4, s: 1, k: 7, g: 6}?\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.758995l?\nAnswer: 2758.995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 5. Let s be 1 - (0 + f) - -1. Solve -5*p = -3*z - 2, s = 2*p + z + 3*z - 6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iixziiiizi. What is prob of sequence izxz?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*m - 44*m + 78 = -22*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5*a + 0)*(2*a + a - a)*(4*a**3 - 2*a**3 - 4*a**3).\nAnswer: -20*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 1224808.\nAnswer: 11023272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 1019004.\nAnswer: 1019004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5690471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-9) + 186\/153. Suppose -3 = -11*r + 8*r. Sort l, r, 3 in decreasing order.\nAnswer: 3, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 55*q**2 - 14*q - 7. Let i(f) = 52*f**2 - 11*f - 7. Calculate 3*d(p) - 4*i(p).\nAnswer: -43*p**2 + 2*p + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q + 50 - 29 - 4*q. Let z be s(6). Solve 0 = -3*d - 5*b - 40, 0*d = -d + z*b + 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -3. Let n(r) = r**2 - 6*r - 68. Let z be n(-6). Put -3, z, h in decreasing order.\nAnswer: z, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -131\/3 + 43. Put a, -0.5, 25 in decreasing order.\nAnswer: 25, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 j when four letters picked without replacement from njzzrcm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -1. Let a be ((-6)\/4)\/h*2. Let o be (4\/(-12))\/(a\/9). What is the biggest value in o, 0.2, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -4, 5, 0.03196, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 3*o - 1. Let b(q) = 2*q**2 + 7*q - 3. Let c(g) = -6*b(g) + 13*p(g). Is 8 a factor of c(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1643 = -10*x + 6863. List the prime factors of x.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffff. What is prob of sequence ff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a - 36?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (145*m**2 - 72*m**2 - 71*m**2 - 38*m)*(-33*m + 17*m - 24*m)*((2 + 0 - 1)*(2 - 2 - m) + 6*m - 2*m - m).\nAnswer: -160*m**4 + 3040*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*i + 139 = -2044 - 2227 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -p**6\/120 + p**3\/6 + 71*p**2. Let j(t) = 35*t**3 - 40. Determine 3*j(n) + 120*y(n).\nAnswer: -15*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 1)\/((-2)\/1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/((-6)\/(12\/4)). Let h be (7 - z)*(-4 + 5). What is the third derivative of 16*u**2 + 8*u**6 - u**6 + u**6 - h*u**2 wrt u?\nAnswer: 960*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1703260 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 86.01 + -65.01. Which is the third smallest value? (a) f (b) -3 (c) -199\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*2\/(6\/(-3)). Suppose -6 = -6*h + o*h. Suppose h*m - 1 = 3. Solve 0 = -4*q, -4*q - 8 = -m*r + q for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 3*g - 378, 2*m + 382 = 7*m - 2*g. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l\/(l**(2\/3)\/l))*l)**(-19)*l*l**(-1)*l*l**(1\/5) assuming l is positive.\nAnswer: l**(113\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-15)*o)\/(o*o\/(o\/o**(2\/3))*o) assuming o is positive.\nAnswer: o**(-50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z + 2280 - 2208 = 0 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2973 + -102. Let x(k) = 16471*k**3 + k**2 - 2*k + 1. Let r be x(1). Let z = r - n. Round z to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 = -17*m + 27*m. Suppose -66*j = -70*j + m. Solve 3*u - 5*u = j*o, -2*o + 14 = -2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (304\/22)\/4 + (-24)\/(-44). Solve 0 = 5*g - x*u - 4, 0*u = 5*g + u - 24 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 15*o + 960 = 0. Calculate the highest common factor of o and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**3 - t**2 - t - 2. Let c be f(2). Differentiate -1 - c*n**2 - 6*n + 4*n + 2*n wrt n.\nAnswer: -32*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 f when two letters picked without replacement from fuxuufg.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1166322686 to the nearest integer?\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -259 times -1574?\nAnswer: 407666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -153 - -252. Let d = -728651\/9 - -80862. Let x = d + t. Put x, -1.7, 3\/2 in decreasing order.\nAnswer: 3\/2, x, -1.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + -1 + sqrt(19))**2 + 1 + sqrt(76) + -1.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**3*h*v**3 + 3*c**3*h - 2*c**3*v**3 + 2*c**2*h - 2*c*h*v**3 + c*v**3 - 4 wrt c?\nAnswer: -6*h*v**3 + 18*h - 12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 11:53 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of 2*l**7\/105 - 64*l**6\/15 + 1806*l**5\/5 - 36980*l**4\/3 - 159014*l**3\/3 - l**2 - 53*l. Factor d(i).\nAnswer: 4*(i - 43)**3*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-816)\/(-952))\/((-13)\/1092)\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -146 and 1070?\nAnswer: -156220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j + 16*j**2 + 3*j + 14*j**2 as z*j + s*j**2 + d and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -438 - 4*v + 13*v - 3*v**2 + v**2 + 211 to t*v + m + s*v**2 and give m.\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 11 = 51. Let s be b\/(-5) + 5\/25. Let g = s + 6. Which is smaller: g or 0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(-55)*1 + (-1)\/(-66). Suppose x + 4 = -0*x, 0 = 3*q - 5*x - 20. Which is the second smallest value? (a) u (b) -0.047 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 + 3*b**2 - 2*b**2)*(0 - 2 + 1) - 7*b**2 - b**2 + 11*b**2 + 2*b**2 - b + b + (-2*b + 7*b - 3*b)*(3*b - b - b).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 4*n - n - 45, 26 = 2*h - 2*n. What is the highest common divisor of 224 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -3*n**2\/2 - 25095*n\/2 - 62700 = 0.\nAnswer: -8360, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -c**3\/3 + 6*c - 31. Let u(k) = 2*k + 5*k - 6*k. Determine n(u(a)).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -t**4\/4 + 2*t**3 - 9*t**2\/2 + 119*t. Factor d(a).\nAnswer: -3*(a - 3)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3\/7 + 1161*a**2\/7 + 1140*a.\nAnswer: 3*a*(a + 7)*(a + 380)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25438*m**2 + 5343*m**2 - 11*m**2 to i*m + k + q*m**2 and give q.\nAnswer: 30770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 14025990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y - 4. Let k be l(0). Let a(c) = 0*c + 2*c + 3 - 3*c - 4. Is 3 a factor of a(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 427665?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 191*l**4 - 1 + 1 - 149*l**4 - 20*l wrt l?\nAnswer: 504*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 147\/(-28) + 5 + 99\/12.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 s when four letters picked without replacement from asysyyassy.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.01 and 180342.\nAnswer: 180342.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 0 - (1 - (2 + -4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 - 9 = 2*s. Suppose 0 = -o + 5, -5 = -5*b + o - 0*o. Suppose q = 5*g + 23, -b*q - g + 28 = -5*g. What is the remainder when s is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -221011101002211 (base 3) in base 4?\nAnswer: -303000223123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.233 + 192.233. Let s = -192.2 + q. Which is the smallest value? (a) -4\/7 (b) s (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51809 less than 1825.2?\nAnswer: -49983.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -1 - 2) + 10 + -1 + -3297 + 3295.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -594 and -174.\nAnswer: -768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of 14*z**6\/45 + 23*z**3 - 112*z. Let p(r) be the second derivative of m(r). Let g(y) = y. Calculate p(g(j)).\nAnswer: 112*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 387 divided by -3\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -541451*z - 541571*z + 1080738*z.\nAnswer: -2284*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (14\/(-4))\/7*-2. Sort 0, r, 2 in descending order.\nAnswer: 2, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -37 - 16) + -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187222 is divided by 62402.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uhdhdhydhjmjyhd. Give prob of picking 1 y, 2 d, and 1 u.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 2*d**2 - 6 - 1\/2*d**4 + 0*d + 0*d**3. What is the second derivative of s(o) wrt o?\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2296949 is divided by 716.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -299 = -y + 108. Suppose -3*c + 11 = -4. Suppose 5*z - 5 = 0, -c*z - y = -3*v + 467. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q**2 - 41415*q**3 + 3*q**2 - 4*q**2 + 41056*q**3 to the form n*q + j + h*q**2 + p*q**3 and give p.\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -1, -3, -50, -18, 8, -2 in increasing order.\nAnswer: -50, -18, -3, -2, -1, 8, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10 - 5)*2\/(-3)*-27. Let s = q - -8. Is s a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 - -25. Let x be 2*(0 - 10\/(-4)). Suppose -x*y = j - 4*j - 124, -k*y + 62 = 5*j. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 14, r: 5}. What is prob of picking 1 i and 1 r?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*s - 69 = 105*s. What is the closest to 0.1 in s, 23, 1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -331, -1333, -3003, -5341, -8347, -12021, -16363?\n\"Answer: -334*d**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 17702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by -1129\nAnswer: 17\/1129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -4. Let u = -10374 - -10381. Which is the closest to 0? (a) r (b) u (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, -2, -5, 0, -1481 in increasing order.\nAnswer: -1481, -45, -5, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26.5 - 34.48. Let w = z - -8.0652. What is w rounded to three dps?\nAnswer: 0.085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**5\/2 + 65*v**4\/2 + 213*v**3\/2 - 3021*v**2\/2 - 8668*v - 5082 = 0. Calculate v.\nAnswer: -11, -6, -2\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 - 178 + 178.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from viviiiyyi. Give prob of sequence vv.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 128497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 27*o**2 + 5*o + 188. Calculate d(-27).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 7*w + 44. Let m be v(-10). Let o(t) = t**2 - 30*t - 2. Is o(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179062 is divided by 304.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43582, 87167, 130752, 174337, 217922, 261507?\nAnswer: 305092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 12:49 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50437700 divided by -4.\nAnswer: -12609425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/2 + 793\/9. Let o = 85 - d. Which is bigger: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-66 - -65) + 1 + -4 + 3 + 9\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23075 is divided by 40.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40.036 + 40. Let t = f + 0.059. Let s = t - 0.02315. Round s to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -44. Calculate the least common multiple of m and 40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37445 (base 8) to base 2\nAnswer: -11111100100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1090560743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqlqqqqllqqqlqqq. What is prob of sequence ll?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 561 and 132?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l**2 + 66*l - 11. Let x be y(13). What is the lowest common multiple of 20 and -5 + x - (1 + -12)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5412 and -260 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (193 - 44 + 90)*(2*w**3 + 3*w**3 - 3*w**3).\nAnswer: 478*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -168498?\nAnswer: -168503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2228360 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -145 + -3a?\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 + 2 = -5*r. Let c(k) = -k**2 + 1. Let j(p) = 6*p**2 - 2*p - 5. Let w(n) = -n**2. Let b(h) = -j(h) - w(h). What is r*c(f) + b(f)?\nAnswer: f**2 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a factor of 136097?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33350 * -4844.9.\nAnswer: -161577415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z*z\/z**4*z)\/z**(-1\/4))\/(z**(1\/3)\/(z\/z**(-4\/7))) assuming z is positive.\nAnswer: z**(209\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 301 - 91. Is 14 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n. Let j(l) = 7*l. Suppose 0 = 3*f + 4*p - 15 - 19, 0 = 3*p - 12. Let v(k) = 2*k. Let m(u) = f*j(u) - 22*v(u). What is w(m(y))?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13515 + 0.1?\nAnswer: 13515.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6241 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 32147763 to the power of 1\/3, to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b - 3. Calculate the remainder when -1*2*(-18)\/12 is divided by r(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11446793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2*(sqrt(68) + sqrt(68)*3)*-5)\/(sqrt(100) - (sqrt(100) + (sqrt(100) - -6*-3*sqrt(100) - sqrt(100)) + sqrt(100))) + -4.\nAnswer: -7 + 8*sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 5*g - 5. Let i = g - -1. Suppose -3*x = x - 24. Solve -2*o = -5*v - x, v - o = -i*v - 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8790.\nAnswer: 2, 3, 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 222638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(5 + (sqrt(385)\/(sqrt(11)*2))\/sqrt(7) + 1))**2.\nAnswer: 216*sqrt(5) + 1341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 366886116 and 4689.\nAnswer: 4689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39939964 a multiple of 688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1655)\/(-114195))\/(15\/1150).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -13003 divided by -290\nAnswer: 13003\/290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h. Let l(w) = 871*w - 428*w + 2658*w. Give l(r(p)).\nAnswer: 9303*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 45. Suppose d*l - 350 = 5*l. What are the prime factors of l?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 21830.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1080 + -659. Suppose 2*k + x - 272 = 0, -10*k + 7*k + 5*x + l = 0. What is the remainder when k is divided by 51?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -r + 30, -170 = -5*r - 3*t + 36. Suppose 4*x + 72 = 10*x. Let g be x\/15*20\/1. Calculate the highest common factor of g and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 407*d**2 + 165*d**2 - 251*d**2 + 343*d**2.\nAnswer: 664*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2304 and 5328?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 975483, 1951124, 2926765?\nAnswer: 3902406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2812938?\nAnswer: 2, 3, 379, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 9:38 PM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 4 + (-4 + 5 + 0)*(-4 + 3 + 3) - 2 + 0 + 0)*(-2 - x**2 + 2)*(79849 + 840*x - 79849) to the form r*x + n*x**2 + y*x**3 + u and give y.\nAnswer: 2520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.022 - -3.978. Let x = -33.42 + 33. Let o = x + 0.12. Which is the nearest to -0.07? (a) g (b) -4\/5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 146 or 145?\nAnswer: 145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*s - s + 5*s + (-5 + 2 + 1)*(1 - 1 + 2*s))*(-379*s**2 - 1012 - s + 1010 + 488*s**2).\nAnswer: 654*s**3 - 6*s**2 - 12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of t**2 + 3*t - 17. Let p be ((-9)\/6 + 1)*0. Suppose 2*s - 4*s - 8 = p. Give u(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -140.39 - 0.61. Let k = q - -135.55. What is k rounded to one decimal place?\nAnswer: -5.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31028143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 - 14.177\nAnswer: -14.287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 43650\/(-20)*(-50)\/3. Let a be (-4 + 2 + 7)*v. Let k be a\/(-2)*2240\/(-21). What is k rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = p - 25. Let q be 2\/(2 + (-5)\/p). What is the units digit of 1 + 8\/q - (-127)\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u**2 - 5385279 + 5385279.\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 1 - (-1)\/(-1). Let g = -61 - -63. Solve -4*a + g - 18 = i for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 641079 and 874.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1284\/(-8)*(34 - 100)?\nAnswer: 3, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -4*i + 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5976 divided by -1494?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 0*m + 3*m = 20, -5*d + 4*m = -20. Suppose -d*h + 8*h + 2*p = -310, 2*h + 2*p + 158 = 0. Let j = 378\/5 + h. Is -1 at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2 + 328*r - 3. Let v(z) = 2*z**2 + 325*z - 2. What is -2*m(y) + 3*v(y)?\nAnswer: 2*y**2 + 319*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 60736307 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: What is the third derivative of -142*h*i**4 - 12*h*i - h - 4*i**5 - 2301*i**3 - 19693*i**2 wrt i?\nAnswer: -3408*h*i - 240*i**2 - 13806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -312100104 (base 6) to base 10.\nAnswer: -5419912","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n**4\/3 + 93212*n**3 - 559240*n**2\/3 - 372848*n + 2237024\/3 = 0. What is n?\nAnswer: -2, 2, 69907","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 277.17 + -270. Let z = -0.27 + k. Let p = z + -7. What is the nearest to -2\/5 in -0.4, p, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - 2 - (168 + -184)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2734 = 27*v - 74. What is the least common multiple of v and 24?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - (-1140)\/90)*(-4)\/(80\/6)\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 5*r = -f + 37, -25 = -5*r. Let k be 1 + f\/4 + 7. Solve -9 = -5*t + k for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -193.1 - -190. Sort -4, t, -2 in ascending order.\nAnswer: -4, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 4*j - 44, 4*u - j - 49 = -5. Let x be (u\/2)\/(((-6)\/(-3))\/1). Suppose 0 = 5*a - x*k, 2*k = a + 4*k. Solve 5*n = -5*p, -n + p + 1 + 9 = a for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7 of a week in minutes?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/18 and -74\/357?\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5*v - 1130 = 0, 2*m - v = v + 432. Does 17 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*d = -32 - 768. Calculate the remainder when 2111 is divided by d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) - sqrt(65)*2)*-2 + sqrt(65) + sqrt(65)*1*4)\/(sqrt(80) + (-2*sqrt(80) + sqrt(80) - sqrt(80))*6)*4.\nAnswer: -7*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 195179178 divided by -32529863?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56 + 91. Calculate the highest common divisor of h and 385.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 34, 22, -4, -50?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3\/2 + 14715*w**2 - 58878*w + 58884.\nAnswer: 3*(w - 2)**2*(w + 9814)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -78620, -78465, -78216, -77879, -77460, -76965, -76400, -75771?\n\"Answer: -v**3 + 53*v**2 + 3*v - 78675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**5\/2 - 243*u**4\/2 - 4881*u**3\/2 + 31671*u**2\/2 + 494760*u - 3175200 = 0. What is u?\nAnswer: -35, -27, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 487*b**2 - 1029*b**6 + 566*b**2 + 514*b**2 - b**3 - 187*b**2 - 206*b**2 wrt b?\nAnswer: -123480*b**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, u: 7, t: 2}. Give prob of sequence uvu.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 16 - 8 - -6) + -2 + 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j = -2*j - j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(204) - -1*sqrt(204)) + sqrt(204))\/sqrt(12) + sqrt(17)*2*-4 + sqrt(102)\/(sqrt(18)\/sqrt(3)) + sqrt(17)*-2*4 + 5)**2.\nAnswer: -120*sqrt(17) + 2473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = m - 7. Let t = -15 + 13.3. Let x = 3.7 + t. What is the nearest to m in 2\/5, -3, x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -4 + (-101 - -116) + -8 + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 21 (b) 5 (c) 1.3 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33454*h + 33455*h - 4*g - 4 = 0, -h + 14 = 6*g for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 4 - (-62 + 12 + 5).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-5*((-3*(sqrt(432) + 2 + sqrt(432)) - sqrt(432)) + 1))**2 + -2.\nAnswer: 756000*sqrt(3) + 19073698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 6 (b) -4 (c) -5 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -100 - 1141?\nAnswer: -1241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 3*l + 525 - 556 = 0, 17 = 3*v + l for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -737\/15 + 49. Let z be -1*2 - (0 + 2). Let q be ((-3)\/2)\/3*2. What is the closest to -2\/3 in z, q, d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -132100 + 10122313?\nAnswer: 3330213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 604 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 14. Let j = -5 + o. Calculate the smallest common multiple of 2 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 14. What is the third smallest value in -1\/9, 2, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 590*w = 592*w - 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 120 + 1b1bb77?\nAnswer: 1b20097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2430039 * 0.3\nAnswer: -729011.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5158 + 0.4.\nAnswer: 0.9158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 813.1799 weeks?\nAnswer: 491811203520000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 102?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**2. Let n(v) = v**2 + 3836*v - 61. Determine n(r(s)).\nAnswer: 4*s**4 + 7672*s**2 - 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-28)\/10)\/(18\/10 - 2). Suppose -q*d - 48 = -17*d. Calculate the greatest common divisor of 8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -g**6\/60 - 46*g**5\/15 - 91*g**4\/12 - 545*g**2 - 1. Suppose y(z) = 0. What is z?\nAnswer: -91, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(468)*-2 - sqrt(468)*2*-6 - (-4 + -2*sqrt(468))*4) + 2)**2.\nAnswer: 4104*sqrt(13) + 151993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(-2)*b*b*b**(1\/18)*(b**(3\/8))**(-36) assuming b is positive.\nAnswer: b**(-76\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 623667.9 hours?\nAnswer: 37420074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61934, -123128, -184322, -245516, -306710, -367904?\nAnswer: -429098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 9*r**2 + 9*r + 3. Let b(t) = t**3 - 11*t**2 - 33*t + 10. Let h be b(14). Suppose -8*d - 9*d - h = 0. What is q(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 61374 and 1590?\nAnswer: 306870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cac when three letters picked without replacement from {a: 1, f: 2, z: 1, r: 1, c: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 644, 645, 646, 647, 648?\n\"Answer: g + 643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*((sqrt(66) - (sqrt(66) + -4*(sqrt(66) - 2*sqrt(66))) - sqrt(66)) + sqrt(66)))\/((sqrt(6) - (sqrt(12)\/(1*sqrt(2)) + sqrt(6)))*-3))**2.\nAnswer: 4400\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 76965991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 11*g + 3. Let m be s(-11). Let v = 53 + -5. Suppose 4*l = -3*i + v, -3*i + 64 = i + l. Solve -i = -n - m*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 41 = -17*l, 5*l + 1 - 3 + 15 = 3*j for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3451 + 3446 + (9 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s**2 + 1045*s + 64726. Give c(-101).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6352665 (base 7) in base 11?\nAnswer: 486027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 626*h - 838 - 30*h**4 + 297*h + 839 + 4*h**3 wrt h?\nAnswer: -360*h**2 + 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -115 greater than -1190?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -131, -120, -95, -50, 21?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -5*y**4 - 79045*y**3 + 7942000*y**2 - 198862500*y = 0.\nAnswer: -15909, 0, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 + 9 + 11 + 3 - 15*i to the form q + m*i and give m.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4))**(-24)\/(v**(-1\/3)\/v*v**(-4)\/v) assuming v is positive.\nAnswer: v**(307\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -68 - -72. Let y(f) = -4*f**3 + 3*f**2 - 1. Let s be y(1). Let m be (3*s)\/(-2) + 6\/(-6). Solve 0 = -t - 4*w + 5, b*w - 16 = m*t - w for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2866381 + 2866381 + 38*m**2.\nAnswer: 38*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/2*(-30)\/(-42))\/((-1488)\/1736)?\nAnswer: -45\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*t + 51 - 51 + (0 + 0 - 2*t)*(-1 + 3 - 4))*(-3 - 3 + 7)*(3*t**3 + 3*t**3 + 2*t**3).\nAnswer: 256*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/12 + (-10344)\/144. Is 15 a factor of (96\/z)\/((-4)\/390)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 197501441*r*t**2 + 444646*t**2 + 222*t with respect to r.\nAnswer: 197501441*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 4*n = 0. Suppose 4*b = b + 6. Suppose n = 3*i - b*i - 127. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2292236123 to the power of 1\/3, to the nearest integer?\nAnswer: 1319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1595352, -3190612, -4785872?\nAnswer: -6381132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-7)\/(l*l**(19\/4))*(l*l*l*l\/(l**(5\/8)*l*l*l))\/l**(-4) assuming l is positive.\nAnswer: l**(-67\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 563.6533 kilometers in nanometers?\nAnswer: 563653300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 5*u + 8. Let k be v(-6). Let x be -2 - -3 - k\/8. Find m such that 15\/2*m**4 + 10*m**2 + 1\/2 + 25\/2*m**3 + 7\/4*m**5 + x*m = 0.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41 + (22 + 1 + 72 + -85 - 3)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 8, 4*a + 4 = -2*u - 2*u. Suppose -2*g - 5 = -u. Let o be (1 - -2) + g + 3. Is 4 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199 - 112 = -23*d + 211 + 260 for d.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4896 and 561648.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (0 + 2) - (27 + -23)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 0*v - 4 - 5*v - 2*v**2 + 7*v**2 + 2*v**3 + 9. Let l(g) = g**3 + 3*g**2 - 3*g + 3. Calculate 10*l(z) - 6*w(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((7 + 37 - 25) + -23).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -644955, -1289922, -1934889, -2579856?\nAnswer: -3224823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221100211 + 10121?\nAnswer: 221111102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23\/2 - 17\/4. Calculate the common denominator of k and 1 + 346\/160 - 2\/(330\/99).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = -66*p - 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w + 18 = -0*w + 295 - 17 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10758180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -100?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03771287 to 3 decimal places.\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and -1097.\nAnswer: -1096.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1431 is divided by 80?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/4, 1\/71, 0.5, 34, 4 in descending order.\nAnswer: 34, 5, 4, 0.5, 1\/4, 1\/71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1076907322 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) 825 (b) 3 (c) -2.8 (d) 5 (e) -0.09\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 12*p**2 - 3*p - 40. Let j be ((-40)\/(-48)*1)\/((-1)\/(-6)). Does 8 divide t(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2128274\/289755 + 1728\/235. Calculate the common denominator of -53\/274 and b.\nAnswer: 2466","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-618 + 7 - 498)*(1 - 3 + 3)*(3*i + 3 - 5*i - 2).\nAnswer: 2218*i - 1109","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7210 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11896010303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -327?\nAnswer: -327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-52*g**2 + 52*g**2 + 37*g**3)*(3 + 1 - 2)*(-4 + 2 + 1) to the form f*g**3 + o*g**2 + d + t*g and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 34 + -3*(-16)\/(-12). Let x = 6 + o. Is 26 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, b: 1}. Give prob of picking 3 m.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 6, 15, 24?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18200594*b**4 + 36227419 wrt b?\nAnswer: -72802376*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 + -46. Let a = 11 + t. Let u = a + -18. Which is greater: u or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2482 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -10. Let i be ((-5)\/(-10))\/(j\/12). Let -2*q**3 - 3*q**i + 6*q**3 = 0. What is q?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + t + t**3)*((1 + 2 - 2)*(0 - 3 - 7) - 1 - 2 + 0).\nAnswer: -13*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 113*b*l**2 + 9083*b + l**2 - 2*l wrt l.\nAnswer: 226*b*l + 2*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 126800953?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 393514991 is divided by 2418?\nAnswer: 2417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.191 - 6.591. Let n = f + 6.1. Which is the second smallest value? (a) 1\/2 (b) n (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/17, 2964, 2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7956, 15290, 22624, 29958, 37292?\n\"Answer: 7334*m + 622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ac when two letters picked without replacement from aaaaaaaaaaaaaaacaaa.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 57 = 2*h, -h + 31 + 38 = 5*q. Let g(b) = -b**2 - 5. Let t be g(0). Let s = t + q. Solve 20 = -s*c + 3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22392.\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8628, -8623, -8704, -8871, -9124, -9463, -9888?\n\"Answer: -43*q**2 + 134*q - 8719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7040553 millennia in centuries?\nAnswer: 7.040553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.14 and 1?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 734796697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1623289021 = 1623289021?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-36)*1659\/5*35*(-270)\/(-8820).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 4*i + 52. Let w(f) = 6*f**2 + 25*f + 332. Let y(g) = -19*v(g) + 3*w(g). Give y(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 - -55. Calculate the highest common factor of d and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 6:30 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 337\/5 in -3, -0.037, -16\/5, 1\/7, 4\/7, -4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1442\/5 + 60\/(-25) + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 323 + -307. Solve 7*u - 69 = -z*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - t + 2*t - 14 = 0, -5*s = -3*t + 30. Is (314\/s)\/(38\/(-57)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 324*n**2 - 29524*n + 40. Determine a(91).\nAnswer: -3600","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -19*d - 122. Give w(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 312\/153851?\nAnswer: 312\/153851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by ((-8)\/(-6))\/((-344)\/(-3354)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14031498 by 79274.\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-96)\/32*2\/((-6)\/5))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 7*s**2 - 8*s - 2. Let n be c(-6). Let u be (-174)\/(-15) + 4\/n. Let x = 337 + -1684\/5. Is x less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**4\/7 + 32192*k**3\/7 + 193224*k**2\/7 - 1159168*k\/7 + 1287920\/7 = 0. What is k?\nAnswer: -10, 2, 32198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 8361?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/10980988 or 0?\nAnswer: -1\/10980988","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*i - 5276 + 476 + 586 = 0 for i.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/21*((-235290)\/(-275))\/(-23).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -155 - -158. Suppose -y + 2635 = 2*m, -2827 = -q*m + 3*y + 1130. List the prime factors of m.\nAnswer: 2, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 97423132?\nAnswer: 292269396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 34*d**2 + 34*d + 38. Give n(-33).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 c, and 1 e when four letters picked without replacement from {c: 5, o: 2, q: 1, e: 6, z: 5}?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1892.8 + 1893. Let z = -3 + 5. Suppose 6*l = z*l + 16. What is the third biggest value in l, 0.1, -5, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/4)*j\/j**(-10\/9))**2 assuming j is positive.\nAnswer: j**(67\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*j + 2 - 10*j - 41*j - 69*j - 1.\nAnswer: -55*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -0.05, 0.4, 2\/9 in increasing order.\nAnswer: -4, -3, -0.05, 2\/9, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7528 from -121340787482.\nAnswer: -121340795010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 205 - 203. Suppose 16 + 12 = 5*k + g, 3*k - x*g - 9 = 0. Solve -f + k = 3*j - 6, 4*j - 2*f + 2 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m - 9. Let x be f(-4). Solve -4*k + 11 = 3*q, -x*k - q = 2*q - 6 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 49395, 49415, 49445, 49491, 49559?\n\"Answer: c**3 - c**2 + 16*c + 49379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 275*z. Let q(w) = 6*w**2. Calculate q(d(s)).\nAnswer: 453750*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o**2*r**2 + 833*o**2 - 3*r**2 - 2*r + 52 with respect to o.\nAnswer: -2*o*r**2 + 1666*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 4, 97, 1\/6, 2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 + -21. Suppose b - 3*y = y - 8, b + p*y = 16. Suppose 4*x + b = 0, -2*m = m + 3*x - 3. Solve 0 = -m*w - 1 - 9 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -60.\nAnswer: -60, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 0, -3, -6, -9?\n\"Answer: -3*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - 14\/(-2))\/(-2). Let t = g + 47. Calculate the remainder when 87 is divided by t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of 5*x**4\/24 + x**2. Let u(g) = -g + 3. Let i(z) = 2*z - 8. Let f(r) = -3*i(r) - 8*u(r). What is w(f(k))?\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 6. Let k(u) = -2*u**2 + u + 1. Let x be k(h). Let a(v) = -v - 5. Give a(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -c**6\/120 - c**5\/30 - c**4\/24 - c**3\/3 + c**2. Let u be n(-2). Solve u*g = 2*g - 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -79 (b) -2055.29 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gq when two letters picked without replacement from {q: 1, g: 11}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 129 + -8257\/64. Let h be (-39)\/12*(-9)\/176. Let i = h - c. What is the biggest value in i, 4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37 - 25 - 9) + (-34 - (-3 - (2 + -1))).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + -1*2\/(-1). Let q be ((-3)\/2)\/(w\/(-8)). Suppose 4*c - q*i = 52, i = -4*c - i + 82. Does 14 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 674 divided by 84\nAnswer: 337\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13281 and 2052?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 15293520 divided by -1274460\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8132\/43 or 190?\nAnswer: 190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 13, 22, 31?\n\"Answer: 9*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4132 is divided by 713?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 3*u - 1. Determine s(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i**2 + 2*i + 12. Let o(k) = -12*k**2 - 5*k - 25. Let z(m) = -3*o(m) - 7*q(m). Suppose 2*f - 4*w = 0, 2*f = 3*f + 2*w. Determine z(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 26*z - 52. Give w(7).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = b + 3*g, 4*b + 4*g - 5 = 11. Let s(t) = 3*t - 118*t**b + 244*t**3 - 125*t**3 + 4*t**2 + 4. Calculate s(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2*w)*(3 + 0 - 6) + (-w - 3*w + 3*w)*(-3 - 2 + 1) + 41*w - 892 + 892 + (1 + 0 + 0)*(2*w + 3*w - 3*w) as q*w + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 21*r**2 - 2*r - 40. Let a be h(-21). Let u(i) = 5*i + 0*i - 4 + 6*i - i**a - 6*i. Give u(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(-750)\/(-20)*10\/105?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-9 - -11) + -6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.49 + 2.19. Sort f, -4, 2\/43 in ascending order.\nAnswer: -4, f, 2\/43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-269)\/9 - 18\/(-81). Let q = 30 + p. Let m = -3405 + 3405. Is q at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 104.4 + -18.4. Let c = 78.7 - a. Round c to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 32\/(-55) - 2\/(-5). Let g = -30 - -65. Let n = g - 34.9. Sort n, d, 1\/8 in increasing order.\nAnswer: d, n, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -70 + (24 - (-26 + 49) - 18).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7923664 and 16947.\nAnswer: 1883","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-8 - -2 - (-9 - -7))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 738.0932 - 738. Let q = -0.4068 - m. Which is the nearest to 8? (a) 5 (b) q (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 6 = 0, -13*i + 5*x = -39*i + 114 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 33*i**2. Let p(h) = -h**2. Let c(r) = 4*p(r) + q(r). Let k(y) = y + 1. Let g(a) = 2*a - 2. Let n(x) = g(x) + 2*k(x). Determine n(c(t)).\nAnswer: 116*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 928987609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 4*f + 4*m + 10 = 0, 0 = f - 4*m - 6. Suppose 56 = 5*b + 2*q - 25, -2*b + 36 = f*q. Suppose -g = -8 + 3. Solve 10*x - g*x = -b for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59525, -59527, -59527, -59525, -59521, -59515, -59507?\nAnswer: -59497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 x, and 1 b when three letters picked without replacement from wcqxcxwxbxxqcbx.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h\/((h\/(h*h*h*h\/(h**1\/h)))\/h))\/h)\/h**1*(h**7*h)\/h**(1\/3)*((h**(-10)\/h)\/h**(-4\/3))**(-4\/3) assuming h is positive.\nAnswer: h**(221\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 18*v - 2. Let r be s(4). Let w be (-4)\/14 - 8\/r. What is the closest to w in -1, -0.1, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 0.06, -5, 0.3, -1\/70 in descending order.\nAnswer: 0.3, 0.06, -1\/70, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5243059 to the power of 1\/2, to the nearest integer?\nAnswer: 2290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 833455 and 140?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*t - 2 + 2 + 79*t - 44*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 0.04 (b) -4 (c) 108 (d) 0 (e) -150 (f) 1\/10\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -3*u + 105. List the prime factors of u.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 4521423?\nAnswer: 4521421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 79 - 79.454. Let v = z + -0.136. Let b = 1.25 + v. What is b rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 87. Calculate the highest common factor of v and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -139080, -278222, -417434, -556722, -696092, -835550, -975102?\nAnswer: -1114754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ieo when three letters picked without replacement from eieo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 677142.5 litres to millilitres.\nAnswer: 677142500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17370 by -2.\nAnswer: -8685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - y - 10. Suppose 4*x + 0*h - 10 = 5*h, -3*x + 17 = h. Let u be r(x). Solve -15 = -5*d + 3*l, 3*d - 2*d = 2*l + u for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66868231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 550313684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((m - 9*m + 19*m)*(-12*m**3 - 22*m**2 + 22*m**2) + 0*m + 0*m - m**4 - 3*m + 3*m + m**4 + (-m - 2*m**2 + m)*(-2*m**2 + m**2 + 0*m**2))*(m - 2*m + 0*m).\nAnswer: 130*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z**4 - 29 + 29)*(-1 - 2 - 3) in the form d + a*z**4 + w*z**3 + i*z + l*z**2 and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9934673 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004906372 to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q + 18 - 8*q + 11*q. What is the remainder when y(25) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -18. Let m(o) = -4*o**2 + o**2 + 2*o**b. Let n(y) = 2*y. Determine m(n(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4*q - 11. Let b(n) = -7*n - 21. Let x(v) = -3*b(v) + 5*c(v). Give x(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5078 - 27c3?\nAnswer: -784b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2142)\/(-357))\/(21\/(-2)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**2\/2 - 95*d\/2 - 750 = 0. Calculate d.\nAnswer: -75, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -17*w**7\/42 + 2*w**3\/3 - 6*w. Find the second derivative of b(c) wrt c.\nAnswer: -340*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*k - 26*k + 10*k**2 + (-3 + 3 - 3)*(-8 - 26 - 9)*(5*k**2 + 0*k**2 - k**2) to the form a*k**2 + j + h*k and give a.\nAnswer: 526","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -65*s - 108. Calculate the remainder when 141 is divided by w(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -1, 0.8047, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 4423*y - 4460*y + 1.\nAnswer: -37*y - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (36\/(-14))\/((-7)\/196) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -94613*z**4 - z**3 - 318025*z**2.\nAnswer: -2270712*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 17 = -3*b, 3*b - 8*b - 5*p = -45. Let w(c) be the second derivative of 3*c**2 + 3*c - 1\/20*c**5 - 4\/3*c**3 - 3 + 2\/3*c**4. What is w(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 4 = 32648*s - 32652*s, -s + 1 = -u for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185865901.\nAnswer: 13, 29, 493013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 24*p + 3. Suppose -19*f + 17*f = 3*i - 49, 5*f = -6*i + 97. Calculate the remainder when h(4) is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 - -0.3. Let r = 36357 + -145429\/4. Which is the closest to -0.1? (a) -2\/5 (b) p (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 5*z - 559, -2*x - 3*z = -z - 556. Is 18 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(972) + 3*sqrt(972))\/sqrt(6)*-3)**2 + (sqrt(72)\/sqrt(9) + sqrt(4)\/sqrt(32))*5.\nAnswer: 45*sqrt(2)\/4 + 23328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide -3 + 15*35\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -764 = -15*y - 3254. Let b = -31 - y. What is the greatest common factor of 15 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 26*n**3\/3 + 13*n**2\/2 + 2*n + 110. Calculate the remainder when v(-3) is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 + -37 + (1 - (2 - 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kckikckckkmmkm. What is prob of picking 1 i and 1 k?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttttttttttxtttttt. Give prob of sequence tttx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 7*j**2. Let z(w) = -3*w**2 - 6*w**2 + 7*w**2. What is l(z(u))?\nAnswer: 28*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -40?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1846, -3266, -4686, -6106, -7526?\n\"Answer: -1420*h - 426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 9*r = 19060. Suppose 8*b = 11*b + 2*b. Suppose 3*u = 5*x + 2855, -4*x = -b*u - 4*u + r. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 - 2014*n**2 - 2195792*n + 15468544.\nAnswer: 2*(n - 1664)*(n - 7)*(n + 664)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -18830606040 rounded to the nearest one million?\nAnswer: -18831000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*5 - 15\/((-60)\/(-16)). Suppose v*j = 7*j - 256. Is j not equal to -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 29949*b + 958365. Calculate r(-32).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2936077941 to the power of 1\/2, to the nearest integer?\nAnswer: 54186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/((s*s*(s\/(s\/(s*s**1)))\/s)\/s)*s))**(-2\/5)*s*s**2\/s*s*s*s**(-6)\/s)\/((s*s\/s**(-1))**13)**(-47) assuming s is positive.\nAnswer: s**(9148\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 3:06 PM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 654149 or 654148?\nAnswer: 654148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -816 = 15*b - 3*b. Let o = 288 + b. What is the highest common factor of o and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 2*t**6\/3 - 4*t**5\/5 - 2*t**4 + 8*t**3\/3 + 2*t**2 - 4*t - 4. Factor g(l).\nAnswer: 4*(l - 1)**3*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 10:35 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13706.\nAnswer: 2, 7, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8833377, -17666748, -26500119?\n\"Answer: -8833371*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -2*d + 14. Let i(r) = 44*r + 314. Let c(l) = 8*l + 59. Let u(k) = -16*c(k) + 3*i(k). Let a be u(d). Solve -4*j + a = 10 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 4686434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 141 - 146.7. Round t to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 102 - -212. Let p = 1799 - t. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/1769560 and -11\/7078240.\nAnswer: 7078240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-856)\/107)\/(31\/(24769\/136))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-6*3*-4*-3*((sqrt(700) + 0 - sqrt(700)) + sqrt(700))*2.\nAnswer: 8640*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and 613848121082.\nAnswer: 613848121080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 5:17 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/(-35))\/(-3)*1*4\/(-24)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 968 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*a + 17. Suppose -10*y = -7*y + a. Let s be ((-3)\/((2*y)\/4))\/1. What is the closest to s in 0, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21248\/455 < -46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 792 - -17579.7.\nAnswer: 18371.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 36123500, 36123503, 36123506?\n\"Answer: 3*w + 36123497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120316a (base 12) to base 5.\nAnswer: 1343122213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 454\/11 + -4297\/66. Suppose 4*u + 49 = -5*a, -5*u + a = -3*a + 51. Find the common denominator of r and 19\/u + 0\/4.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30)\/(-8) - 3\/(-12). Let y(w) = w - w - 3 + w - v*w. Let q(z) = z + 1. Determine -14*q(o) - 4*y(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.58 in -4\/3, -3, 2\/27, 0?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 29*n**2 - 59*n - 200. What is j(-27)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9110940 and 13666410?\nAnswer: 27332820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 106798464 divided by -12\nAnswer: -8899872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - r = -8. Do r and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -9*x - 7. Let z be p(-8). Suppose -2*v = 3*v - z. What are the prime factors of v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 574466, 574472, 574478, 574484?\n\"Answer: 6*m + 574460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -i**6\/360 - 2*i**3\/3 + 9*i. Let r(w) be the second derivative of c(w). Let h(z) = 2*z. Calculate r(h(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 110 + -99. Suppose -2 = 3*c + 5*x + f, 3*c - 27 = 3*x. Suppose -3*d - 4*p = -p - 69, c = -4*p. What is the remainder when 39 is divided by d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 5 - 5 = 0. Suppose 4*i = -4*s - g*s + 780, 3*s = i + 565. What is the units digit of (s\/15)\/(6\/9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7061468 and 3572.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + x + 8. Determine f(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 r, 1 z, and 1 m when four letters picked without replacement from arrrrozmrlr.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, -10, 8, 111 in ascending order.\nAnswer: -44, -10, 8, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of c**7\/126 - c**5\/15 - c**4\/18 + c**3\/6 + c**2\/3 + 51*c. Suppose p(n) = 0. What is n?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1716723.528 to the nearest 100.\nAnswer: 1716700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.27 - 0.03. Let f = -0.5 + 1. Let m = f + n. Sort -0.3, m, 1 in increasing order.\nAnswer: -0.3, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 7. Let m = -385.4 + 354. Let i = -28.4 - m. What is the third smallest value in i, d, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 580 or 581?\nAnswer: 580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*x + 3*n - 44, -5*x = -3*n - 82. Suppose -k + 3*k = 28. What is the greatest common divisor of x and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - x**2)*((-3 - 1 + 3)*(x - x - x) + x - 4*x + x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.6 - 2. Let i = 5.88 + -6. What is the second smallest value in i, 0.2, x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1073428 to the power of 1\/2, to the nearest integer?\nAnswer: 1036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 119400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l + 4*l - 137*l**2 + 20*l**2 - 3*l.\nAnswer: -117*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*b + 20 = -b, -b - 26 = 4*h. Which is bigger: -4 or h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - -19) + -43 - (1 - 12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 107 - 91. Let d = 146 - 224. Let f = q - d. What are the prime factors of f?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tjw when three letters picked without replacement from {w: 9, t: 4, j: 4}.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, 432\/7, 2\/11, -0.1, -16?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*n - 1645 = -194*n + 450*n for n.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -31079, -30682, -30285, -29888?\n\"Answer: 397*d - 31476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -694 + 462. Let g = d - -231.7. What is the nearest to 0.6 in 3, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.1 - 15.1. Let u = 52 + m. Let n = -42.5 + u. What is the nearest to -2\/9 in -6\/7, n, 2\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 2 + 1)*(-1 + 2 + 1) - 2 + 5 - 2 - 2 + 4 - 1)*(130*y - 1912*y - 440*y)*(-y - 2 + 2) as i*y + w*y**2 + g and give w.\nAnswer: 8888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 z, and 1 x when four letters picked without replacement from {b: 4, z: 9, u: 4, x: 2}?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24931.\nAnswer: 107, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 8:50 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of a**8\/224 + a**7\/28 + 15*a**2. Let t(f) = 0. Calculate f.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57413 + -40853. What is the ten thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 divided by -7.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 x when four letters picked without replacement from vvxxvxxuxvx.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 184? (a) -2 (b) -0.2 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.208847 rounded to 2 decimal places?\nAnswer: -1.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w - 1. Let x(f) = -f + 2. Determine g(n) - x(n).\nAnswer: 2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -9*t**3 - 5*t**2 - 5*t. Let d(l) = -4*l**3 - 2*l**2 - 2*l. Suppose -5*w + 31 = 36, 3*p - 11 = -4*w. Determine p*d(r) - 2*n(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2027991488?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 155612421?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66.57975ml to litres.\nAnswer: 0.06657975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -448 in 2, -3\/5, 1, 2\/3, -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*z + 18*z - 123952 = 0. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 27079\/3, 0.2 in descending order.\nAnswer: 27079\/3, 8, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18837 and 6119334?\nAnswer: 42835338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2251, 4502, 6753, 9004, 11255?\n\"Answer: 2251*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/1 + (-2)\/184*124. Which is smaller: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -74*b + 0 + 2 + 73*b + 5 to the form z*b + p and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/1155*-14)\/((-26)\/(-39))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (54 - 12 - 18)*(c + 2*c - 4*c)*(-5 + 3 + 6) as d*c + f and give d.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -u**9\/22680 - u**8\/10080 + u**7\/3780 + u**6\/1080 - u**4\/3 - 4*u. Let n(v) be the third derivative of k(v). Factor n(w).\nAnswer: -2*w*(w - 1)*(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 31335800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 16*k**3\/3 + 2. Let h = 46 - 47. Let i(v) = v**2 + 4. Let l(w) = -1. Let f(z) = h*i(z) - 4*l(z). Give f(c(g)).\nAnswer: -256*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r + 11. Let x be u(-2). Let w = 10 + -10. What is the closest to x in 0.4, w, -1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 5, -2\/3 in descending order.\nAnswer: 5, 1, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by 225\nAnswer: -17\/225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 - 43801160*u - 479635404336400.\nAnswer: -(u + 21900580)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 4. Let c(f) = -227*f**3 - f**2 + 2*f + 283. Let i(v) = c(v) + 2*k(v). Find the second derivative of i(n) wrt n.\nAnswer: -1362*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 4:33 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1132, -2763, -5494, -9319, -14232, -20227?\n\"Answer: i**3 - 556*i**2 + 30*i - 607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((26\/4)\/13)\/(-6 - -5 - -3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 745250720 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**2 + z**2 - 3*z**2)*(-z + 2 - 2) + 69*z**3 - 139*z**3 + 2*z + 49*z**2 - 4 + 6.\nAnswer: -72*z**3 + 49*z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*f*t*v**3 + 1245*f*t*v**2 - 5*f*v**3 - t*v**3 + 17*t*v**2 - 2*v**3 wrt v.\nAnswer: 120*f*t - 30*f - 6*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 5:58 AM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.02, -2\/79, 214\/47, -5, 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*v - 9890 = -6120 for v.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -56.\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1))**(-3\/28)*(v**(10\/9))**(-16) assuming v is positive.\nAnswer: v**(-4453\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 22*k - 89. Determine o(-13).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86135 is divided by 979?\nAnswer: 962","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -138*n + 15000. Calculate r(109).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**4\/5 - 3*z**3\/5 + z**2\/5 + 3*z\/5 - 2\/5 = 0. What is z?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17464 - -61367. Let k = d + -1975543\/45. What is the common denominator of k and 29\/42?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22.1 - -21. Let g = h + -2.9. Let b = g + 4. What is the second biggest value in -5, 0.4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -67 and -67 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6121 (base 7) in base 15?\nAnswer: -967","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbbhppthppabp. What is prob of sequence pb?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.7 - 10. Let b = 0.4 + -0.5. What is the nearest to b in -0.4, 2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**(-31\/4)*c))**(4\/5) assuming c is positive.\nAnswer: c**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -344940 <= 50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*sqrt(121)*1)\/(5*(sqrt(539) + sqrt(11))*5)*3.\nAnswer: 3*sqrt(11)\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1085 = -4*d - 413. Let w = 173 - d. Suppose 3 = j - 0*j. Solve -w*y + 8 = -j*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 702\/(-4536) - (-2)\/(-21). What is the nearest to 0.1 in 7, x, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4*o**2 - 2)*(-2 + 3 - 5)*(0 + 1 + 1).\nAnswer: -32*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 4*i - 8. Let d(m) = 6*m**2 - 6*m**i + m**2. Let x(h) = -9*h**2. Calculate x(d(n)).\nAnswer: -9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 112 + -123. Let n = 0.08 + 7.92. Let x = n + q. What is the second biggest value in -1, -2\/13, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1237, -2483, -3741, -5017, -6317, -7647, -9013, -10421?\nAnswer: -11877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -19\/5, -3, -12\/7 in increasing order.\nAnswer: -19\/5, -3, -12\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-17))**(-5)\/(x**(2\/11)\/(x**(-14)*x)) assuming x is positive.\nAnswer: x**(790\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3497 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/435750 and -187\/2250.\nAnswer: 1307250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 4*t - 20, 18*a = 22*a + 4*t - 20. Solve -12*g + 31 + 5 = a for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 4:19 AM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/9*6 - 85*39\/(-1326).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q - 1444 = 9*q - 100*q + 4*q for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + u + 10, 8 = -5*x + 5*u - 2. Let g = 3 - 3.2. What is the third smallest value in g, 0.5, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003113819 to seven decimal places.\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4200266, 4200260, 4200254, 4200248?\nAnswer: 4200242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 102 = -2*p. Suppose 10 = 2*z + h, 3*z + 2*z - 27 = -2*h. Calculate the greatest common factor of z and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**2 + g. Suppose 5*a - 14 - 1 = 0. Calculate the remainder when 33 is divided by w(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12b9 - 1?\nAnswer: 12b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 2*w + 8714, 403*b - 2*w = 405*b - 5816. List the prime factors of b.\nAnswer: 2, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(32))*2 + (0 + sqrt(800))**2.\nAnswer: 8*sqrt(2) + 806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*m + 0 - 34 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-17 + 17 + 5*r)*(r + 0*r + r) - 4*r**2 + 4*r**2 - r**2)*((1 - 1 + 2*r)*(2 - 3 - 1) + r - 4*r + 4*r).\nAnswer: -27*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + -23. Let z = r - -17. Let b be ((-2)\/z)\/(6\/(-10)). Are b and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 x when two letters picked without replacement from {u: 1, w: 1, x: 1, p: 1, y: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.2 (b) 0 (c) 4 (d) -5\/6 (e) -9 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/18480 and 167\/24090?\nAnswer: 1349040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 63 - -23.57.\nAnswer: 86.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50292910 + 43*x**3 - 50292910 - 74*x**3.\nAnswer: -31*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*c**4\/7 - 180*c**3 + 759*c**2\/7 + 360*c\/7 + 33\/7 = 0.\nAnswer: -1\/6, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**2 + 0*y**2 + 2*y**2 + (14 + 3 - 7)*(0 + y**2 + 0).\nAnswer: 13*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 7*a**2. Let p(r) = -r**2. Let f(y) = 39*p(y) + 6*v(y). Is f(-3) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 2*t + 18, 3*k - 2*t - 31 = -0*k. Let j(v) = -v + 9. Let u be j(k). Which is the third biggest value? (a) u (b) -0.3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/11 - 2144*v\/11 + 6414\/11.\nAnswer: 2*(v - 1069)*(v - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*(i\/(i\/i**(2\/5)*i))\/i*i)\/i)**(10\/3)\/(i**0)**11)\/((i*i**3)\/i**(-4)*(i**1)**44) assuming i is positive.\nAnswer: i**(-152\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 + 97*t + 1162. Let w be o(-27). Sort w, 5, -2, -68.\nAnswer: -68, -2, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -82.04 - -77.04. Which is the fourth smallest value? (a) h (b) 0.01 (c) 56 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19 or 0.073?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3976542 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -111112 (base 3) in base 12?\nAnswer: -265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (17 + 1 + 0)\/((-1)\/(-8)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 + 0 + (5778 - 5771)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 5*a**2. Let r(j) = -j**2. Let t(c) = 33*r(c) + 6*z(c). Let x(w) = w**2. Calculate x(t(f)).\nAnswer: 9*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 9*w + 27 = -6*w, -2*w = o - 13 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a. Let w(d) = -28*d - 2. Give x(w(c)).\nAnswer: -84*c - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 4:16 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/95*10*1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1886000 rounded to the nearest one hundred thousand?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 19488\/(-1392)*(-36)\/(-112)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154 = -4*q + 474. Let v = 194 - 162. Let f = v - 0. Calculate the greatest common factor of q and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -17. Differentiate -6 + 3 - 21*a + 15 + u with respect to a.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 780?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -m**4\/12 + m**3 + 2*m**2 + 2*m. Is g(6) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -17*q - 14. Let p(z) be the first derivative of 3*z**2 + 5*z + 169. Let f = -1 - -8. Suppose -44 = -3*w + f*w. Give w*p(l) - 4*b(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1732474, 1732983, 1733492, 1734001, 1734510, 1735019?\nAnswer: 1735528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4339*y + 12*y + 188*y - 183*y as k + j*y and give j.\nAnswer: -4322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - 20. Suppose -c + 2*i - 228449 = n, -c + 4*i + 913844 = -5*c. Let q = c - 181543. Round q to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 5. Let u be 91\/312 - 6\/(-16). What is the third smallest value in z, 3, u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1184613 + -2?\nAnswer: -1184615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1720 = -10*j + 5*j. Let n = j + -1467. Let b = -10127\/9 - n. Which is smaller: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p**3 - 35*p**2 + 57*p + 63. Calculate l(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35.41 + -35.21. Which is the third biggest value? (a) -6\/5 (b) i (c) 0.42 (d) 6 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l = -12 - 24 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 23.56. Round g to one dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -12, 5*v + 15 = 4*h - 1. Suppose v = -0*j - 3*j. List the prime factors of (j + 66)*(-1)\/(-3).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 377777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15 + 2134?\nAnswer: 2149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5337 in -3\/4, 3, -0.1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18774.\nAnswer: 2, 3, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from krekzznknzkrbbzzzn. What is prob of sequence knk?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 53, 2, 3 in descending order.\nAnswer: 53, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*q**2 + 62*q**2 + 63*q**2 - 257*q**2 + 70*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-50 - (-16 + 3))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16 - 235?\nAnswer: -21b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*d - 252667*d**2 + 90*d.\nAnswer: -252667*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/144 and -31\/264?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*m**2 + 127*m**2 + 781 - 781 + 4979*m**3.\nAnswer: 4979*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 122 + -134.5. Let o = 12.5000045 + z. Round o to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1654, -1787, -1920, -2053, -2186, -2319?\nAnswer: -2452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.4 (b) -3 (c) -102 (d) 1\/3 (e) 9.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/((-90)\/(-4)))\/(156\/(-65)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/8)\/i**(2\/9)*i**(-5)\/((i\/i**1)\/i))**4 assuming i is positive.\nAnswer: i**(-277\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 157*d + 478. Let s be w(-3). Which is smaller: -0.775 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -557933, -557930, -557927?\n\"Answer: 3*t - 557936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 6978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -197 + 202. What is the second derivative of -111*s**5 + 85*s + 32*s**k - 2 - 21*s wrt s?\nAnswer: -1580*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 5:00 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -125007829 or -125007828?\nAnswer: -125007829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2*l - 31. Suppose -5*s = -2*w - 6, -w - 5*s = -l + 4. Let v = -5 + w. Is -2 at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1181669 is divided by 210.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011102111 + 2?\nAnswer: 1011102120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 8. Let d = -7 - a. Let l = d - -4. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/15))**(-2\/45) assuming d is positive.\nAnswer: d**(4\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l**2 + 41*l**3 - 4 - 2*l - 42*l**3 + 7*l. Let n = 141 + -135. Suppose -n*p = -8*p - 10. Determine h(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 19*g**2 - 20*g + 42. What is i(18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2. Let z(h) = -13*h**2. What is x(z(f))?\nAnswer: 338*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -395 = -5*v + 5*n, 4*n - 1 = v - 68. Let f(p) = -p**2 + p. Let z be f(1). Suppose -2*r - g + 1985 = 0, 2*r - 2*g + v - 2059 = z. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 15 - 6)*(4 - 2 - 1)*((-1 - 3 + 2)*(3*j - 3*j - j) + 1 - 3*j - 1 + 3*j + 1 - 1 + 2 - 2 - 2*j + (4 - 5 + 2)*(3*j + 3*j - 5*j) + 0 + 2*j + 0).\nAnswer: 39*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5 + 0 + sqrt(76) + 1.\nAnswer: -7 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 11, z: 5}. What is prob of sequence zqzq?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 8, 6*u - 3*u + 19 = -5*g. Which is the closest to -2\/7? (a) g (b) 0 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -2*i**3\/3 - 3*i**2\/2 + 1. Let s(c) = c**2 + 2*c. Suppose 0 = -d + 2*q + 2, 5*q + 8 = d. Determine d*u(f) - 3*s(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0 = 2. Let y be (1\/m)\/(4\/8). Let c(g) = -6 + 452*g**3 - 451*g**3 - y + 3*g - 6*g**2. Give c(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 9, l: 4, y: 1, s: 1}. What is prob of picking 2 o?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4*n**3 + n**2 + 2*n + 3. Let m be q(-2). Suppose -2*s + 2*a = s - 27, -s - 2*a + 1 = 0. What is the highest common divisor of s and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ebf when three letters picked without replacement from {e: 2, f: 4, b: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 2*k**2\/3 + 14054*k\/3 + 14048 = 0.\nAnswer: -7024, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7*4\/(-16)*-20. Calculate the greatest common divisor of 5 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1 times 16628?\nAnswer: 34918.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 19 - 17. Suppose -167 = -z*o + 49. Solve 0 = o*j - j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 - (-377)\/(-117) - 1335162\/(-54) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 3 - (20 + -35). What is the greatest common divisor of z and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - c - 2*c - 3*c + 0*c + 5*c + (1 - 2 + 2)*(3*c - 4*c + 0*c))*(0*c**4 + 8*c**4 + c**4).\nAnswer: -9*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59841 + -38679. Does 84 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110 + 0 + ((10 - 26) + 22 - 22) + 4\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(378) - 3*sqrt(378)*-1)\/sqrt(6) - (-1*(-1*sqrt(1008) + sqrt(1008)))**2.\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 199, 333, 451, 547, 615?\nAnswer: 649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 246*h. Let z(g) = g**2. What is z(t(o))?\nAnswer: 60516*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 3*t - 4937, -3*t + 7373 = 3*m - t. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -b**6\/120 - 5*b**5\/3 - 149*b**4\/24 - 161*b**2. Find the second derivative of y(l) wrt l.\nAnswer: -6*l - 200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fefa when four letters picked without replacement from gaffaefgfeffeegea?\nAnswer: 15\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -11021100202201 (base 3) to base 16\nAnswer: -22a5c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1240 - -1244. Solve 2*x - 1 = -25*w + 26*w, n*w = x - 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/6 - (728\/(-126) + 6).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.19 - 1.19. Let i = -7.245 - -7. Let t = 0.055 - i. Which is the fourth smallest value? (a) 5 (b) w (c) t (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -91611 or -4305744\/47?\nAnswer: -91611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340760 is divided by 127?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*v + 18*v + 21*v - 43*v.\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8200 (b) -5 (c) -127 (d) 3\/2 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/61844 and -35\/6?\nAnswer: 185532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d - 5. Let k(y) be the second derivative of -y**3\/3 + 7*y**2 - y. Suppose 0 = t + t + 6. Let l be -9*(1\/t - 0). Determine l*k(v) + 8*q(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -24*d + 0*d**2 + 0*d**3 + 2 + 17\/18*d**4 + 1\/30*d**5. Suppose h(a) = 0. Calculate a.\nAnswer: -17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of 0 - 1\/120*a**6 + 2*a**2 + 1\/8*a**4 + 0*a + 1\/20*a**5 + 0*a**3. Let g(t) = t**2 + t. What is -3*g(z) + o(z)?\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/((-3)\/3 - 1). Let o = -2 + 2.02. Let c = o - -0.08. What is the third smallest value in p, 5, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 y when three letters picked without replacement from {h: 1, w: 2, y: 1, r: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -50209524 and -52.\nAnswer: -50209576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from liqwqlfwwwiwifawwl. What is prob of picking 1 q and 2 l?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 28.49539cm?\nAnswer: 284953.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3361*i - 3355*i - 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 5678601?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 + -21. Suppose -5*i = 2 - o. What is the second biggest value in 1, 0.2, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 102 - 57. Is h a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -391, -387, -383, -379, -375?\nAnswer: -371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -106*p**3 - 7*p**2 - 3*p + 2. Give u(-1).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 29*g**3 - 5*g**2 - 112*g - 196. What is b(-2)?\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 14874, 14867, 14860, 14853, 14846?\n\"Answer: -7*k + 14881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -15. Sort -5, y, 5 in increasing order.\nAnswer: -5, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2 + 25*c + 48. Let z be j(14). Let l(b) = b**2 - 7 + 0*b**2 - 4*b + 2. Calculate the smallest common multiple of l(z) and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**5 - 6*m**5 - 2*m**5)*(-1 + 2 + 0) + 11*m**5 + 15*m**5 - 6*m**5 + (-m - 2*m + 2*m)*(2*m**4 - m**4 + m**4) - 3*m**2 + 3*m**2 + 4*m**5.\nAnswer: 16*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, l: 7, m: 3, g: 3, o: 3, u: 2}. What is prob of sequence mk?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/702 and ((-15026)\/780)\/(-11) - (-91)\/(-455).\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/32 + 5\/4. Let g be ((-3)\/(-3) - q)\/2. Suppose -o - p + 14 = g, -3*o - 4*p = -65 + 18. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -2*j + 25, -10 = 2*j + 2*c - 0*c. Let h be (3 - -1 - (-14)\/(-4))*j. Solve 0 = -h*w - 4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 438112 + -8?\nAnswer: 438105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a + 19 + a + 24 - 41 as s*a + u and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38303 - 38304. Which is the third smallest value? (a) m (b) 593\/8 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0.1524 (b) 0.18 (c) 0.3 (d) 5 (e) -80\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 4*o + 33 + 25, -2*o = 3*q - 50. What is the highest common divisor of q and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from pyyyyyyypyppypyypy?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j - 33. Suppose s - 22*f = -21*f - 12, 5*f = s + 32. Calculate x(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135750069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 285 - 445 = 0. Is 33 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -13*t - 7*t + 22*t. Let k(g) = -24*g**2. What is f(k(y))?\nAnswer: -48*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16622984 is divided by 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3780 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 (base 10) in base 13?\nAnswer: -8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-96) + 8\/4224?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + s + 2. Let w(c) = -c**3 - c - 3. Let p = 9 + -3. Let o be (5 - p)\/((-2)\/12). Let t be (o\/(-2) - -3) + -3. What is t*w(y) - 5*a(y)?\nAnswer: -2*y**3 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8b7314 - -1a5?\nAnswer: 8b74b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -12*x + 8. Solve x*l + 0*l = -10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1132 = -2*t + x, -10*t = -3*t - 3*x - 3962. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*x - 200044 = -152*x + 26394. Is x a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of 12031*p**4\/12 + 92*p - 10. Let q(c) = c**2. Determine q(y(h)).\nAnswer: 144744961*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (16 - 23 - 12)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3688 is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*2*(-6)\/4. Calculate the smallest common multiple of 6 and (w + -2)\/(4\/40).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -904 = -4*f + h + 4*h, 0 = -5*f - h + 1101. Let o = -142 + f. Is o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*-117.41\nAnswer: -821.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 17, 27, 37, 47, 57, 67?\n\"Answer: 10*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/228 and 5\/7?\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*o + 0*o - 5 = 0, 4*o + 6 = -2*t. Let a = -0.25 - -0.3. Let y = a - -4.95. What is the nearest to t in 0.2, y, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 424 divided by -2.\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2277 (base 9) to base 16.\nAnswer: -69a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-50 + 3885\/63 + (-1)\/(-3))\/10)\/6\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 - 1051558*n**3 + 3738 + 1051536*n**3 - 2*n**2.\nAnswer: -22*n**3 + 3738","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by -128.\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**2 + l**2 + 0*l**2 + (-6*l + 3*l + 2*l)*(7*l - 3*l - 2*l) + 3*l**2 + 0*l + 0*l.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 411668 to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3825609, -7651216, -11476823?\nAnswer: -15302430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 222318 and 14499?\nAnswer: 666954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -4. Suppose -2 = -o*u - 2*w, u + 1 = -5*w - 2. Suppose 152*d = 658 + 254. Solve u*h = 4*h + d for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10011000000010111000010 (base 2) to base 6\nAnswer: 254441442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 9. Suppose -2*d + 2*f = 0, -2*d + f + 3*f - 8 = h. Suppose d*p - 48 = -0*p. Solve 6*u + p = 3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 + 1330 = 5*m. Let f = m + -25. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -9.1. Let i = -3 - -2.95. Which is the fourth smallest value? (a) -1\/6 (b) -2 (c) i (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**2 + 7*y + 32. Let x be a(6). Suppose 22 = -4*l + 6. Let k = l + 6. Solve -3*h = 2*j - 17, k*h = -2*j + 3*j + x for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vet when three letters picked without replacement from {t: 2, a: 4, e: 2, v: 6, p: 3}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 25 = -4*h. Suppose u - 3*u + 357 = -3*x, 0 = 5*u + h*x - 830. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -0.5, 9, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2560)*-4 - sqrt(40))\/sqrt(8) + -4*((sqrt(720) - (sqrt(720) + -2 + sqrt(720))**2) + sqrt(720)).\nAnswer: -513*sqrt(5) + 11536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3. Let k(p) = 2. Let g(y) = 3*i(y) - 5*k(y). Let b(a) be the second derivative of -a**3\/2 - 5*a**2\/2 + 5*a. Calculate b(t) - 4*g(t).\nAnswer: -3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/180 and -113\/80.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v + 7. Let s be -1 - (-1)\/(3\/(-12)). Let a be m(s). Let 6\/5*f**3 + 14\/5*f + 4\/5 + 16\/5*f**a = 0. Calculate f.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 14. What is the second derivative of -c*n - n**4 - n**4 + 0*n**4 wrt n?\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of 1\/12*o**4 + 0 + 0*o + 26*o**2 + 0*o**3. Let x(c) be the third derivative of c**4\/2 + 3*c**2. Determine r(x(n)).\nAnswer: 24*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 5*k = 5, 3 = -u + k - 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 675024 to the nearest integer?\nAnswer: 822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 8 + 8)*(432 - 549 + 367).\nAnswer: -250*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1*15\/6*(-21)\/(34125\/(-400))\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*d**2 + 215*d - 55.\nAnswer: 5*(d + 11)*(4*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {h: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 16*b**3 + 289*b**2 + 15*b + 171. Calculate i(-18).\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 83, 4, -3 in ascending order.\nAnswer: -5, -3, 4, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 896 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/35014 and -49\/410.\nAnswer: 175070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*l + 2216 + 2776. Is 24 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -178, -350, -524, -700, -878, -1058, -1240?\n\"Answer: -c**2 - 169*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, j: 1, e: 1, b: 2, z: 1}. What is prob of picking 2 b, 1 z, and 1 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w + 20. Calculate the least common multiple of l(-12) and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 9*c**2 - 5*c. Let n be k(1). What is the nearest to -2 in 0.6, -11, n?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4181, 4278, 4431, 4634, 4881, 5166, 5483, 5826?\nAnswer: 6189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 204 + -1838\/9. Let f = -3.47 - 0.53. Which is the third smallest value? (a) 0 (b) f (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*y - 0. Calculate the remainder when -2 + (-2 - y) - -47 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**2 - 2 - 45*y**3 - 2*y**4 + 47*y**3 - 3*y**2 to s*y**4 + g + c*y**3 + k*y + o*y**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + (-1 - -3))*2. Let h(u) = -u**3 + 11*u**2 - 6*u - 2. Let l be h(o). Is l bigger than 38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 0, 0.17, 3\/8, -0.2.\nAnswer: -0.2, 0, 0.17, 3\/8, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/124*((-158)\/1185 + 17*18\/(-135))?\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3 - 13 + 2*a - 2*a**3 - 7*a - 9*a**2 + a**3. Is c(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.700027 - 1.7. What is v rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2564\/43 greater than or equal to -61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*61.9.\nAnswer: -185.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1525*n - 3*v + 18 = 1522*n, -4*n + 39 = 5*v. Which is smaller: n or 14\/3533?\nAnswer: 14\/3533","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 4*o + h - 16, h - 8 = -2*o. Let g be (2 - o\/2)\/(12\/(-6)). Let k be 12 - 0\/(1 - -1). Solve 5*w - 2*w + k = g for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + ((-3 - -15) + -4 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16667 at most 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 2*r - 230, 4*r = -n + 5*r - 75. Let i = 88 + n. Let p = i - -57. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of f**2\/2 - 11*f - 168. Let l be (-325)\/(-45) - 2\/9. Calculate m(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, a: 3, t: 5}. Give prob of sequence ss.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/3*((-2790)\/220)\/(-31)*1*-12.\nAnswer: 36\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24.2 + -28. Let n = -6.8 - i. Which is the second biggest value? (a) -2\/9 (b) 3\/7 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + (2 - 6) + 2)\/(-17). Does l = -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72, 5\/793, -0.4, -0.2.\nAnswer: -72, -0.4, -0.2, 5\/793","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-2)*-1*(314976\/88)\/193.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-10434)\/(-12) - -6 - 2\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*(-3 + sqrt(187)\/sqrt(11) - sqrt(17)))**2.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12*-5)\/((-4)\/(-6)). Let j(b) = -b**2 + b + 217. Let x be j(0). Let t = f + x. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 2*m + 4 + (-m + m - m)*(2 + 1 + 0) - 181*m - 453*m + 362*m to k*m + c and give k.\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 337035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (1 - (1 - -4)) - (3 - -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2*(sqrt(204) + (1*(sqrt(204) - (-3*sqrt(204) - sqrt(204)) - sqrt(204) - sqrt(204)) - sqrt(204)))\/(-3*sqrt(12)*3).\nAnswer: -3 + 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2016 + -1?\nAnswer: -2017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/8 and -12970228 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1260895 - 2*c - 1260895.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 198003?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 6*g + 4. Let t(w) = -5*w - 4. Give -3*b(m) - 4*t(m).\nAnswer: 2*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.967 + 0.033. Let n be -4 + 2 + (-160)\/(-75). Let v = 8\/15 + n. What is the second smallest value in s, v, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-2))\/((-7)\/(-10710) + 0). Suppose h = 19*h - n. Is 7 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 813*(3\/(-9))\/(-1). Suppose 0 = 3*c - 2*g - a, -5*c + 211 + 224 = 5*g. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of b**4\/6 + 5*b**2\/2 - 61*b + 1. Determine f(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (29 + -34)\/((3\/(-13))\/3) and 35.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 15*h + 14. What is the remainder when 247 is divided by i(-12)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*c - 2*c + 3*c)*(-244 + 62 - 559 - 607) in the form h*c + n and give h.\nAnswer: 2696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1422\/108 + (-5)\/(-6). Suppose 3*i + 3*c - 15 = 0, -4*i + 11*c = 13*c - f. Solve i*o = 2 + 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ly when two letters picked without replacement from ycvcllyyybbyylvlcb?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, -1\/6, 133\/6, -5\/4, 2\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -140*c**2\/3 + 5105*c\/3 + 490.\nAnswer: -5*(4*c - 147)*(7*c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 196884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*6\/12 - (-42)\/12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 20. Let h(y) = y**3 - 5*y**2 + 4*y + 4. Let c be h(t). Suppose 1022 = c*z + z - 3*f, 0 = -4*f + 4. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of s*y**4 + 894916*s*y**3 - 115*s*y**2 - 5*s - 2032*y**2 wrt y?\nAnswer: 24*s*y + 5369496*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 17. Let l = -4 + x. What is the closest to l in -0.1, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = t + 22, -x = -t - 2*t - 38. Let h = -6 - t. Solve -4*p + h = 4*u, 5*u + 2*p + 2*p = 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 2*r**2 - r + 4. Let k be d(3). Suppose 0*z - 5*q - 125 = -4*z, -3*z - 3*q + 87 = 0. Let l be k\/(-20) - 32\/z. Which is smaller: l or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 199, 186, 151, 82, -33?\nAnswer: -206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -7 in decreasing order.\nAnswer: 5, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**3 - 101*z**2 - 56*z + 264. What is f(51)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of -c**4\/12 - 95*c**2 - c. Let t(l) = 462*l. Give t(z(p)).\nAnswer: -924*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**2\/4 + 9*g\/4 + 3 = 0 for g.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -42, -45, -50, -57?\n\"Answer: -t**2 - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (120*m**5 - 154*m**5 - 2*m**3 - 14 + 64*m**5)*(1 + 2 + 0).\nAnswer: 90*m**5 - 6*m**3 - 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 < -0.611?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -11 + 11 - 12*o**2. Let m(a) be the second derivative of a**4\/12 - 2*a. Calculate -2*c(j) - 22*m(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -15*d - 8. Let c(k) be the second derivative of 7*k**3\/6 + 2*k**2 + 3*k. Let z(p) = 10*c(p) + 4*r(p). What is the first derivative of z(j) wrt j?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 33*c**2 + 21*c - 21. What is the hundreds digit of x(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/((-4)\/3 - (-29)\/87) - -2. Solve -3*i - 16 = -f*i, 24 = -5*h + i for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*q**3 + 4*q**3 + 0*q**3)*(2*q + 2*q - 2*q) + 21*q**4 + 5*q**4 - 16 + 14 to the form j*q**4 + f + b*q**3 + k*q + z*q**2 and give j.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a = -16*a - 1. Let l be (4\/(-16)*0)\/a. Suppose -3*c + 6 = -l*c. Solve 0 = -5*h + 5*b - c + 7, -h = -3*b - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -10 + 7\/60*u**5 + 0*u**4 + 0*u - 1\/120*u**6 - 1\/2*u**3 - 6*u**2. Let d(q) be the second derivative of o(q). Determine d(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7224)\/67424*2\/(-2)*-4\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 665280.22 to the nearest one thousand.\nAnswer: 665000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -37, 5 in decreasing order.\nAnswer: 5, 2, 1, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + k - 1. Determine u(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -17*x + 2. Let s(j) = 9*j + 4. What is s(f(a))?\nAnswer: -153*a + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -626.4 - -626. Which is the nearest to -5? (a) -0.1 (b) -1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 9:22 AM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 295, 1177, 2649, 4711, 7363?\n\"Answer: 295*b**2 - 3*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -3 (b) -3\/8 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -316*j + 2*g - 25 = -311*j, 2*j + 10 = -5*g for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 10\/108264119 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19a19de3 + -2?\nAnswer: 19a19de1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 518335057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 1:10 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 314, 1169, 2570, 4517, 7010, 10049?\nAnswer: 13634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1575) - ((sqrt(1575) - sqrt(1575)*3) + sqrt(1575)))\/(sqrt(324) - ((1*sqrt(324) - sqrt(324)) + sqrt(324) - sqrt(324))).\nAnswer: 5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 15 - 6 - 18 - 5 - 23 + 3 + 2 - 6 + (-2 + 1 + 0)*(3 + 2 - 4))*(j + 0*j + j).\nAnswer: -92*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 - 57165*i + 2680128.\nAnswer: 3*(i - 19008)*(i - 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1028?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-5))\/(12\/(-60))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 10:06 PM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y - 21. Let f be c(4). Is 15 a factor of ((-90)\/f)\/(4\/50)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) -3 (b) 110.4 (c) 16 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -891 + 3?\nAnswer: -888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 14?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 5*m**2. Let y(b) = 20967*b. What is y(x(q))?\nAnswer: 104835*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 5*a**2 - 2. Let f(b) = 3*b - 2*b - 2*b + 4 - b**2 - 4*b. Suppose 20 + 4 = -4*g. Let x be f(g). Give j(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -10. Let b(w) be the third derivative of 0*w + 0 - 15*w**2 - 1\/24*w**4 - 1\/6*w**3. Give b(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 813348.66 and 4.\nAnswer: 813352.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 3\/4, 0.05, 59, -0.118, -2 in descending order.\nAnswer: 59, 3\/4, 0.1, 0.05, -0.118, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 22, 80, 144, 214, 290?\n\"Answer: 3*o**2 + 49*o - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**4 - h**3 - h - 1. Let m(q) = 2*q**4 - 3*q**3 - 5*q**2 - 3*q - 3. Let b(s) = 3*l(s) - m(s). Find the third derivative of b(k) wrt k.\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(16\/10))\/((-2)\/8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -5, 3, 20 in decreasing order.\nAnswer: 20, 3, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 684\/304 - 2\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -89*a**3*y**2 + 3*a**3*y + 41*a**2*y**2 - 225*a*y**2 + 196*a - 2*y wrt a.\nAnswer: -534*a*y**2 + 18*a*y + 82*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/25? (a) -0.4 (b) 2521 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40507 is divided by 526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 19*n**2 - 77*n + 272. What is u(22)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five eighths of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide ((-49)\/(4704\/345096))\/(3\/(-16))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5710378 smaller than 5710376?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (102 - 76)\/(2 + -1). Calculate the highest common divisor of n and 4017.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + r - 5*w + 7, -r + 5 = w. Let i = 5 + r. Does 11 divide ((-42)\/2)\/((-6)\/i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1154 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = q - 89, -3*q + 338 - 81 = k. Does 21 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t + 2*t - t)*((1 + 4 - 6)*(-119 + 10*t + 119) + (-1 + 3 + 0)*(5 - 5 - 3*t) - 4*t + 3*t - t - 3 + 19*t + 3) in the form c + q*t**2 + r*t and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59.094 + -0.094. Let y = l - 49. What is the second smallest value in 1, y, -1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - b = -12 - 3, -4*b = -12. Let j be (8\/6)\/(g\/18). What is the second biggest value in -2, j, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166*m - 6572872 + 2675083 = 3785521. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 17641, 35649, 53657, 71665?\n\"Answer: 18008*l - 367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -c**6\/120 - 17*c**5\/60 - 7*c**4\/12 + 4*c**3 - 32*c**2. Determine i(-16).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13102388?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 4:27 PM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 0.02 (c) -0.75 (d) 258\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 17*u - 83. Calculate h(8).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 9*t**2 - 54*t + 571. Calculate x(19).\nAnswer: 2794","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 1:24 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 20 = -0*x. Suppose -x*n + 16 = -0*n. Let l = n + 5. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 7*o**2 + 4. Let m be l(-7). Let w be -1 - -1 - (-7 - -7). Suppose -49 = -4*t - d, 2*d + m - 14 = w. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 66172*b**5 - 11*b**3 + 6561326*b wrt b?\nAnswer: 1323440*b**3 - 66*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/3 - (-2)\/1. Let k(c) = c**2 + i - 13 + 7 - 3 - 5*c. Determine k(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2850, -11206, -25102, -44514, -69418, -99790, -135606, -176842?\n\"Answer: 4*x**3 - 2794*x**2 - 2*x - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x + 2*x - 229*x**2 + 3*x - 4*x - 277*x**2.\nAnswer: -506*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 282488147 to the nearest integer?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i + 10. Let b be y(2). Solve -v = -4*v + b for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.86 + -1.93. Which is bigger: n or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-5)*(-20)\/32*(-288)\/120\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4945 = f, 4*a + 4*f - 2670 = 1286. Suppose j - 2*y = a, -y + 969 = j + y. Is 16 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 1:14 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1414*n**4 + 2*n**2 - 70*n wrt n.\nAnswer: 16968*n**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 not equal to -172\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -127 - 1055. Suppose i - 404 = z, 0 = 3*i - 4*i - z + o. Suppose i = -g + 8*g. List the prime factors of g.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3644126*b - 3644135*b - 414 for b.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 47*j - 65. Calculate d(-28).\nAnswer: 467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 5*l**2 - 10 + 9*l**3 + 23 - 4*l**2.\nAnswer: 9*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -5*u**2 - 4*u + 8. Let q(s) = 4*s**2 + 3*s - 7. Let j(i) = -6*m(i) - 7*q(i). What is the remainder when j(-7) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -244076 divided by -3.\nAnswer: 244076\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -851 - -847. What is the tens digit of m\/18 - 442964\/(-657)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 120997689?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(5\/3)*b)\/(b**1\/b)*(b\/(b*b**(1\/4)))**46)\/((b**(-2\/3))**(-8)*b*b*b**6*b*b*b*b**(-1\/2)\/b) assuming b is positive.\nAnswer: b**(-71\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -5) + (-6)\/(-3). Let i(q) = q**3 - 4*q**2 - q - 3. Determine i(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14380 - 14380.040193. Round a to three decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -103*a. Let x(u) = 205*u - 1. Let b(h) = 5*g(h) + 2*x(h). Let f(y) be the first derivative of -2*y**3\/3 + 655. Calculate b(f(p)).\nAnswer: 210*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/3*f - 1\/6*f**2 - 2\/3 = 0. Calculate f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -49, -43549, -0.2, 0.8 in descending order.\nAnswer: 3, 0.8, -0.2, -49, -43549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30073 + 30077. What is the nearest to 0.4 in w, -2\/7, -4\/21, -4?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -47 + 77 + d - 40. Let f be j(12). Solve 3 + 3 = -f*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1670.2578993 and 0.49.\nAnswer: -1669.7678993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-20)*5\/(-4). Let t = 0 + 17. Let y = 22 - t. Which is the smallest value? (a) -4 (b) o (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2157280 and 832?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(34)\/sqrt(2) - sqrt(17))*-6)**2 + sqrt(833)*-2 - (-3*(sqrt(170)*2 - sqrt(170)))\/(-2*sqrt(490)).\nAnswer: -199*sqrt(17)\/14 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2. Let l(v) = v**2. Let o(w) = 5*b(w) + 4*l(w). Let r(i) be the second derivative of 2*i + 0 + 1\/6*i**3 + 0*i**2. Calculate r(o(g)).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -2*c + 2*d, -c + 5*d - 24 = -6. Let b(x) = x + 27. Let g be b(c). Let z = 28 - g. Is z a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-3 + 2 + 1)) + 61 + -73.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*g = 3*g + 23, -3*k - 5*g = -53. Suppose -10 = k*d - 26*d. What is the tens digit of ((-90)\/12)\/(250\/128 - d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**2 + 10*m**3 + 2*m**3 + m - 9*m**3 - m**3 + 7 + 3*m to p*m + r + y*m**3 + b*m**2 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1460 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4))\/(6\/(-108))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 315 and 7650?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 + (32 - 31)\/(-1 + 2). Suppose 0 = 5*r - 2*x - 539, -m*r + 339 = -4*r + 4*x. List the prime factors of r.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 118, 218, 368, 574, 842?\nAnswer: 1178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33.769992 - -3.2300085. Let m = -39.33 - -2.33. Let x = o + m. What is x rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 6*j**2 + 6*j - 2. Suppose a - 7*q + 10*q = 1, 5*a + 2*q = 31. Calculate c(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrm. Give prob of sequence rm.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -c. Let n(u) = -2*u**3 + 93*u**2 + 245*u + 5. Let l be n(49). Solve -2*i + o - 2 = 0, c*o = -i + l*o - 10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 260, 528, 802, 1082, 1368?\nAnswer: 1660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 378 = -20*k. Let i(q) = -42*q + 6*q - k*q. Let h(p) = p. Calculate i(h(d)).\nAnswer: -57*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 10:29 PM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -384828, -769648, -1154464, -1539276, -1924084, -2308888?\nAnswer: -2693688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20122 (base 3) in base 2?\nAnswer: 10110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(-3 - 6\/4). Let r = o - 5. Solve -5*y - r*m = 4, -20 = 3*m - 8*m for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 74 + 43 = 0. What is the highest common divisor of m and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57112072553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -34*u. Let x(j) = 49*j**2 + 19831*j. Give x(a(z)).\nAnswer: 56644*z**2 - 674254*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 divided by 26.\nAnswer: -27\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 5) to base 13\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(((-209)\/(-38))\/11).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2 - 3*i**2 + 20 - 11 - 5 - 5. Let l(h) = -3*h**2 + 7*h**2 + 10 - 7. What is -2*j(w) - l(w)?\nAnswer: -2*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiii when four letters picked without replacement from iiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**3 - 2285*s**2 - 10327*s + 4596. Give q(1147).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/sqrt(3) + -3 + sqrt(3) - -5*-2*sqrt(3) - sqrt(9)\/((sqrt(6) - (sqrt(54) + sqrt(6) - sqrt(6)))\/sqrt(2)))**2.\nAnswer: 45*sqrt(3) + 711\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {l: 1, w: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 7*r + 5. Let g(n) = 3*n - 6. Let y be g(4). Let a be p(y). Let m be -1 + -1 + (a - -4). Calculate the highest common factor of 10 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -687*k**6 + 3*k**5 + 2*k**3 + k**2 - 4*k - 274?\nAnswer: -82440*k**3 + 180*k**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25092531433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 825 plus -650?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18693186\/151 or 123796?\nAnswer: 123796","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/23724 and 65\/3492?\nAnswer: 2301228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 240*n + 111. Let w(i) = -15*i - 7. Let l(t) = -2*p(t) - 33*w(t). Let y(m) = -m - 1. Let a(c) = -4*l(c) - 36*y(c). Is 12 a factor of a(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8, 4055, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -683.9703401173 plus -0.5?\nAnswer: -684.4703401173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/50 of a century?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10965, 10980, 11021, 11100, 11229, 11420, 11685?\nAnswer: 12036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -133.749 (b) 4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q**4 + 852*q**3 + 83*q**2 - q wrt q.\nAnswer: -24*q + 5112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 6*i - 5. Let r be t(-7). Suppose 2 = -r*s + s. What are the prime factors of s\/(-7) + (-1750)\/(-49)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**3 - 15*o**2 + 6*o + 5. Let n be d(-11). Suppose -5*t - t = -n. What is the remainder when 2\/7 + t\/7 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v**2. Let d(t) = t**2 + t + 1. Let x(b) = 290*b**2 + 232*b + 232. Let n(f) = 696*d(f) - 3*x(f). Give z(n(r)).\nAnswer: -151380*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 122 - 85. List the prime factors of v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67156 by 2.\nAnswer: -33578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, b: 2, k: 1}. What is prob of sequence kq?\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.117925 milliseconds to nanoseconds.\nAnswer: 2117925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4230 and 7614.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 - (22 + (-157 - (-44 - -16)))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 < -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 1\/4 (b) 0.5 (c) -0.2 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/74853 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1249073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 25 = 5*j, 0*r - 5*j = 2*r + 19. Let h be (-3)\/(-6) + 3 - 4. Let s = 7\/8 + h. What is the nearest to r in 2\/5, 3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 503491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 205.8 + -205.6. What is the closest to m in -3\/4, -0.4, -2\/7, 8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14534225 (base 6) to base 12\nAnswer: -207375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/1*(-2 - -2). Suppose w - 2*n - 36 = -w, n = k. Is w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -t**5\/20 - t**4\/12 - 5*t**2. Find the second derivative of s(x) wrt x.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 767 - 450. What is the remainder when i is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 939019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 912, 7305, 24666, 58479, 114228, 197397?\nAnswer: 313470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1947 + -1949. Let m(p) = -p + 1. Let g(h) = 3*h + 9. Give w*m(i) - g(i).\nAnswer: -i - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bcbc when four letters picked without replacement from {b: 5, c: 2, o: 3}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24288 is divided by 16558?\nAnswer: 7730","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4992 - -54221. Suppose -2824 = 31*w - k. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 4*v = 2*f - 20, 0 = 5*f + 5*v - 25. Suppose f*r + r = 3. Solve -5*m - r*l = -l + 2, -3*l - 3 = 4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(96)*2)\/sqrt(12))\/(-2*(3*sqrt(44) + sqrt(44) - sqrt(44))\/sqrt(11)).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n**4\/12 + 3869*n**3\/4 - 325727*n**2\/12 + 205543*n\/4 - 151255\/6 = 0. Calculate n.\nAnswer: -11635, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 4, 2 in decreasing order.\nAnswer: 4, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 40*m**2 + 177*m + 44. Give a(-35).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*x + 68*x + 176*x + 44*x to the form y + m*x and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 5)*(12635*k + 12629*k - 25208*k + 12).\nAnswer: 56*k + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*z - 3*z + 4*z)*(32*z**2 - 57*z**2 + 26*z**2) to w*z**2 + q + p*z**3 + a*z and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 6:15 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85 - 124 + 4*v + 14*v - 10*v + 39.\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3876209 is divided by 1563?\nAnswer: 1532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gy when two letters picked without replacement from ywwwywwygyy?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8536 divided by 15?\nAnswer: 8536\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/3))**29\/(o**(-1\/6)*o**(-1))*(o\/(o*o**2)*o**(-2\/7)\/o*o)\/((o**(2\/3)\/o)\/o**(-1\/4)) assuming o is positive.\nAnswer: o**(-1711\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 37 = 2*o, 3*o + u + u - 54 = 0. Let k be (-4)\/3*(-6)\/o. Suppose -2*n = -0*n + 2*x - 16, 4*n - 2*x - 8 = 0. What is the smallest value in k, n, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 7*k - 15. Give g(8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1840, -7700, -17470, -31150, -48740?\n\"Answer: -1955*p**2 + 5*p + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3334385685?\nAnswer: 3, 5, 222292379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*w*y**3 - 9*w*y**2 - 5*y**3 + 4 wrt y.\nAnswer: -36*w - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -7*i - 6. Let k be (-36 + 33)*(-2)\/(-6). Let j be l(k). Is 2\/1039 at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3058 - 4150 = -28*t. What is the remainder when t is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 842145\/502 greater than 1678?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 89*j - 228. What is the tens digit of g(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/7)\/2*553\/632?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 77*q - 87*q + 200. Calculate the least common multiple of q and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-59 - -89)*7*2 is divided by 53?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j + 2*j + 2 + 13*j**4 - 12*j**4 + 2*j**4 - 3*j**2 + 3*j**2 + (-7*j**2 + 4*j**2 + j**2)*(j**2 - j**2 - 2*j**2).\nAnswer: 7*j**4 - j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 - (113\/(-3) - (-23648)\/1478).\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a4 (base 16) in base 3?\nAnswer: -221001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 418.776 + -419. Let x = -22.276 + n. What is the biggest value in x, 4, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 12*z + 22. Let u be d(10). Solve -r + 5*x = u*x - 7, 0 = -3*r - 2*x + 10 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36381 to the power of 1\/2, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3370240)\/(-64800) - 52)\/((-1)\/(-9))?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 - -15. Let v(a) = -2*a + 2. What is the units digit of v(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3899 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + o - 1 + 4*o**3 - 67*o**3 - 1 + 2*o**2 + 4 to g + r*o**3 + b*o**2 + n*o and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1620176 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + 3 - 2*1. Suppose -5*y + 2*k + 25 = 3*k, -c*y + 5*k - 5 = 0. Suppose -y*n - 5*v + 103 + 175 = 0, -4*n + 266 = -v. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*g - 24 - 19, 3*m - 94 = 2*g. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*x**3 + 51*x**3 + 59*x**3 + 8*x**2.\nAnswer: x**3 + 8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 2*d + 4110. What is the units digit of r(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 2*t**2 + 2*t. Let c be m(-3). Let r(k) = k**2 + 4*k - 4. Let d be r(-5). Let x(i) = 3*i + 1. Let u be x(d). Solve -c + 19 = u*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2*v - 36, -2 = f + 2*v - 6*v. Are 29\/2 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v = -2*x + 34, 2*x + 3*v - 47 = -28 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2*d - 22 = -0*d, -j - 4*d + 23 = 0. Suppose 5*n - k = -3*k + 6, 0 = -j*n + k - 3. Suppose n = -4*g + g + 57. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-12)\/y**10*(y*y**2*y)**7 assuming y is positive.\nAnswer: y**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30444339 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**7\/490 - 11*v**6\/280 + v**5\/14 + 9*v**4\/7 + 10*v**2 - 22*v. Determine y, given that g(y) = 0.\nAnswer: -2, 0, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 5*a**2 - 27*a + 332. What is m(7)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**2\/3 + 145460*i\/3 + 12465184 = 0?\nAnswer: -72472, -258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 13 = -6*p + p, 4*u - 6 = 2*p. Let o be 16\/10 - (-2)\/p. Find the second derivative of j**2 - 7*j + j - j + 0*j**o wrt j.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 + 51. Let g = 2 + z. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a milligram in micrograms?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iia when three letters picked without replacement from aiaaaaiiiiaa?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - -1.538.\nAnswer: 3.538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*g - 129 + 205 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.109 times -0.3?\nAnswer: -0.0327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -8477.\nAnswer: -2\/8477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - t. Let q(z) = 3*z**2 - 5*z. Let o(y) = -5*l(y) + q(y). Let c(u) be the first derivative of -u**2 + 1. Give o(c(g)).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -10*z - 111. Let p be c(-11). Let b(y) be the second derivative of -21*y**5\/2 + y**4\/6 + y**3\/3 + y**2\/2 - y. Is b(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 36 = 3*l, -2*n + 2*l = -n + 35. Let d(k) = 18*k - 147. Let f be d(10). Let p = f + n. Solve p = -b + 3*b - 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(693) - sqrt(693)*5)\/sqrt(11))\/(sqrt(63)\/(sqrt(448) - sqrt(7) - sqrt(7))).\nAnswer: -24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*b**2 + 25*b**2 - 2*b**4 + 3 + 36*b**2 - 22*b**2 as m*b**4 + x*b**2 + i + z*b**3 + n*b and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i - 28 = 10. Let k(x) = -1 - 39*x**i + 16*x**2 + 3 - x + 5*x + x**3 + 17*x**2. Calculate k(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-8) + 55\/44)\/((-2)\/(-16))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 16*k - 32*k + 672. Solve k*u = 8*u - 40 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.2779 - -0.0379. Round t to one dp.\nAnswer: -8.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*z - 39*z + 2*c + 14, -5*z - 4*c = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2123*a**3*f - 2*a**3*v - 4*a**3 - 423*a**2*f*v - 109*a**2*v + 831 wrt f?\nAnswer: -2123*a**3 - 423*a**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mhhlhhhhhghhgm. Give prob of sequence glgm.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 1062586.\nAnswer: 26564650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 385 is divided by 51?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 689786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 13*x - 7. Let c(s) be the first derivative of -3 - 3*s**2 - 2*s + 5*s + 2. Determine 9*c(y) + 4*j(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 3:50 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 359 + -136. Let a = 434 - t. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v - 13. Let z be g(6). Suppose 15*q - 20 = z*q. Let r be -2 + (5 - 0) - 17\/(-1). Solve -q*i = -0*i + r for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -790407808 divided by -98800976?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.002 + 0.298. What is the closest to 2 in 1\/2, a, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-6)*p*(p*p**4)\/p*p\/p**(2\/25)*p\/p**(2\/11) assuming p is positive.\nAnswer: p**(203\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 6000 and 53998\/9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 36 + -3012 + 2986\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 647*t = 648*t + y - 6, 5*t - 38 + 20 = -2*y for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*l - 3*n, -4*n - 10 = -3*l - 0. Suppose -l*f + 87 = 5*k, 0 = -4*k + k - 3*f + 54. Calculate the remainder when k is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30 in 21121, 2, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, 2.1, -0.6, 5, -5\/2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 157.779 and -1.\nAnswer: -157.779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 0*n + 3*n - n. Suppose 6 + 0 = -2*r. Let q be 3 + (3 - (r + 5)). Determine l(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/1404 and 11\/104.\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 9*n + 1. Let c(y) = 4*y + 1. Suppose g - 10 = -4*g. Let x(s) = g*p(s) - 5*c(s). Let z = 16 - 19. Give x(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 990 is divided by 90.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 143714 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/7 - 357314*b**2\/7 - 2279497376*b + 239427626880\/7.\nAnswer: -2*(b - 15)*(b + 89336)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4 + v**2 + 4. Let n(q) be the first derivative of 5*q**3\/3 + 5. What is p(n(h))?\nAnswer: 25*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 9288 + 2962 = 0. Determine b so that -373*b - 4*b**2 + 3*b**2 + 0*b**2 - s + 23*b - 4*b**2 = 0.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.2, -1, 205, -1.48, 255?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 11*x + 15. Let i(a) = -5*a - 7. Give -9*i(d) - 4*s(d).\nAnswer: d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 380 + 104. Let i be 5\/2*(8 + -10). Let d be 10 - (-6 - (0 + i)). Calculate the greatest common divisor of u and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, t: 12}. What is prob of picking 3 t and 1 n?\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67288903.\nAnswer: 11, 29, 37, 5701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 a when two letters picked without replacement from {a: 1, q: 2, w: 1, g: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 + 86 = 4*q. Which is the closest to 1\/77? (a) q (b) -1\/11 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: c4c919 (base 15) to base 6\nAnswer: 532321553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 71008 = 70056?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-12)*1*(-41)\/(861\/(-126)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*t**3 - 2140*t**2 - 22020*t + 52560 = 0. What is t?\nAnswer: -12, 2, 438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-134*n + 567 - 567)*(-3 - 2 + 4) - 6*n + 2*n + 3*n + (2*n + 2*n - 2*n)*(0 + 1 + 1) + 3*n + 0 + 0)*(n - 3*n + 4*n)*(n**2 + n - n).\nAnswer: 280*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 15*y - 12. Let x be l(14). Let f = 513\/5330 - -2\/533. Let r = 0.7 + -5.7. Sort -1\/5, r, x, f in descending order.\nAnswer: x, f, -1\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p - 5123 + 35*p**3 + 10237 - 5114 + 14*p**3.\nAnswer: 49*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -13. Is 3 a factor of (22\/2)\/(m\/4*-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -4*z + 4, 0 = 5*n + 15*z - 14*z + 21 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11436239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 960?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51953.145 + -52394.14191. Let p = w + 441. Round p to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114345*o**3 - 259419*o**3 + 145071*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 24.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 511117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 2:32 PM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 2*t - 2*q, -5503 = 8*t - q - 5555 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61 + -40. Let i = 20 - g. Let f be i\/(-3 + (-390)\/(-129)). What is f rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-9))\/((-1)\/237). Let q = -36 + t. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.052 and -6.632609611.\nAnswer: -6.580609611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*x - 2*x**2 + 6*x - 2*x**2 - 3*x**2 + 0*x**2 + (-3*x - 2*x + 3*x)*(0 + 0 + 2*x) + 1 - x**2 - 1 + x**2 - 5*x**2 + 2*x**2 + (2 - 4*x - 2)*(-2 - 2*x + 2).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 319.2455 + -0.4455. Round g to the nearest ten.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*a - 13. Let v = a + 14\/3. Let j = -13796\/10401 - 24\/3467. What is the nearest to 0.1 in j, v, -8?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -7\/621?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 0.3209474.\nAnswer: 1.2837896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 7:59 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6538.452 years in centuries?\nAnswer: 65.38452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2162 - 1263 + 2732*j + 1417 with respect to j.\nAnswer: 2732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9178*f**5 + 2*f**2 + 1640*f + 6 wrt f?\nAnswer: -183560*f**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from ccrcccccccccccc.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -68 divided by 23695\nAnswer: -68\/23695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -0*y - 20. Calculate the smallest common multiple of 11 and y.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 1 = 2*t, 2*j - 3*t = -3*j. Let g(h) = 1 - 5 + j*h + 6. Give g(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*3\/15)\/(-3*12\/324)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 92 - 177 + 90 + 7*y. Let t be (0 - 7) + -7 + (4 - -4). What is w(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -3 + 5 + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*i + 1 + 26 = 0, 4*s - 2*i - 36 = 0. Let v(d) = d**3 - 8*d**2 - 10*d + 10. Let x be v(s). Let o be (-19)\/(-35) - 2\/5. Is x less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2 + 2 = 3*j, -j - l = -4. Suppose -j*k + 1 = 3*i - 2, 0 = 3*k + i - 15. Does 2 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (44 - (26 + -4)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1966209753?\nAnswer: 3, 157, 1523, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 - (0 + 10) - 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)*2*2 + sqrt(187) + 2*sqrt(187)*2)\/(-1*(sqrt(704)*-2 - sqrt(704))).\nAnswer: 3*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*a + 53*a - 363 = 81*a for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**2 + 30*j + 4. Let r be c(15). Suppose -r*y - y = m - 32, 22 = 3*y + 2*m. Let s = -10 - -14. Does s = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -2.17 (c) 34 (d) 25 (e) -74 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8389 + 8271 = -25*m - 6*c, 9 = 3*m - c for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70, -140, -208, -274?\nAnswer: -338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1977601?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.11, 0.1, 1\/176, 2, -13?\nAnswer: 1\/176","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + 22 + (0 - (-8 - -3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41.44 - -41.44. What is the closest to t in -17, -2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -226825\/8, 2, -1\/6, 0 in decreasing order.\nAnswer: 2, 0, -1\/6, -226825\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.8000086 - 1.8. What is h rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 9, p: 5}. Give prob of picking 3 a.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1584) + 5)**2 + (sqrt(1584) - (2*(sqrt(1584) + sqrt(1584) + -3 + sqrt(1584)))**2).\nAnswer: -55450 + 996*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + (-6 + 2 - -21300). Round d to the nearest one thousand.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 1 + (4 + 3 - 4)*(-1 + 1 + 1))*(2*z**2 + 1590*z - 3491*z + 1672*z) to a*z + h + r*z**2 and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/311376 and 41\/112?\nAnswer: 2179632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 184, -5, 2, 0, 4, 4050.\nAnswer: -5, -4, 0, 2, 4, 184, 4050","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8290967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.27, -0.4, 3, -49, -2\/11 in descending order.\nAnswer: 3, 0.27, -2\/11, -0.4, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26624 or -27019?\nAnswer: -27019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 10012033?\nAnswer: -10012103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*l - 543*l**2 + 692*l**4 - 33*l**4 + 197*l**4 + 40*l wrt l?\nAnswer: 20544*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -y**4\/12 - 5*y**3\/3 - 3*y**2 + 4*y. Let d be v(-9). Suppose -d*o + 12 = -0. What is the least common multiple of o and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**3 + 228*p**2 - 16356*p + 353440 = 0.\nAnswer: 40, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 426*r**2*v**2 + 2*r**2*v + 3*r - 99*v**2 wrt r.\nAnswer: 852*v**2 + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.52 * -0.8.\nAnswer: 1.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*l = 25. Is 15 a factor of l\/(-20)*(1 + 19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 0.0459 (c) -34551\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64.1 + -46.571.\nAnswer: -110.671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 8*y - 10. Let c be l(6). Suppose 3 = 3*g + 5*m + 24, -4*g + 2*m = -24. Factor 2\/7*r - 2\/7*r**c + 2\/21*r**g - 2\/21.\nAnswer: 2*(r - 1)**3\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 4516669\nAnswer: 2258334.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 39939 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 40\/75*6*5 - 0. Suppose 14*f + 1584 = z*f. What are the prime factors of f?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -100*n - 13. Is s(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 68?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**3 + 6*q**3 + 9*q**3 + (2*q**3 + q**3 - 4*q**3)*(0 + 0 - 1) + (-2 + 2*q + 2)*(-2*q**2 - 3*q**2 + 3*q**2).\nAnswer: 9*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 310770501 to the power of 1\/3, to the nearest integer?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + h = 0. Let p = h + -4. Let v(q) = -q**2 - 4*q + 2. What is v(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36709, 147210, 331379, 589216?\nAnswer: 920721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3 + 2 - 2*j**2 + j**2 + j**3. Let r(p) = -16*p - 20*p**3 + 33 - 3*p**2 + 23*p**2 + 22*p + 14*p - 5. Let g(h) = 16*q(h) + r(h). Factor g(n).\nAnswer: -4*(n - 3)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 355405744?\nAnswer: 2, 22212859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 - 152*m - 1260.\nAnswer: 4*(m - 45)*(m + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 4, 1.5, -3\/5, 3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15506 + 29778. Suppose 29*d - 13*d = c. Is d a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u**2 - 1 - 109*u + 90*u - u**3 + 1 in the form n*u**3 + x*u**2 + t*u + v and give t.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ylylyyyyyyllyyyyyly. What is prob of sequence lyyy?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 s when three letters picked without replacement from {p: 2, s: 5, m: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-12)*1*12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**2\/9 + 196*c\/9 + 400\/9 = 0.\nAnswer: -2, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 40937?\nAnswer: -163748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/12*(-27)\/(-828)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**3 + 3*w**3 - 6*w**3 + (0*w**2 + 0*w**2 - w**2)*(0 + 0 + w) + 4*w**3 - 8*w**3 - 6*w**3.\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/30 and -48\/175.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15735 - 20455 = 227*z + 153*z - 6550 for z.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-2)*(0 - -2). Suppose -3*a + q*y + 126 = 0, -4*a + 3*y + 172 = -2*y. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, c: 5, x: 1, u: 2, v: 1}. Give prob of picking 1 u and 1 v.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*f - 29*f - 75*f**2 - 113*f**2 - 29*f + 85*f to i*f**2 + j*f + y and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 76313553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2471892 rounded to the nearest ten thousand?\nAnswer: 2470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 5*y - 19*y)*(0 + 1 - 2)*(-3 + 4 + 3).\nAnswer: 52*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-18))\/(12\/72)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/48*(2\/(-3))\/(-1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 14 = 405*m - 408*m, 0 = 5*t + m - 38 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 5:54 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-4)*(-198)\/(-108))\/(57\/(-456))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 119664 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -2. Let f be (5 + 0)\/((-2)\/(-4)). Suppose 5*y - 3*y - f = 0. Solve -t*v - 1 = -z, 2 = -y*v + 4*z - 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -1 + 11. Suppose 1 = -3*k - 4*l, 0 = o*l + 7 + 1. Let m = -87 - -782\/9. Which is the smallest value? (a) 4 (b) m (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 12:59 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(60\/4)\/(-75).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2970455 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5004 divided by 3\nAnswer: -1668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/353, -31698, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7637, -7632, -7627, -7622, -7617, -7612?\n\"Answer: 5*i - 7642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2486 = -5*b + m, 5*b - 2474 = 3*m + m. Let a = b + -242. Let r be 8\/(-36) + a\/18. Calculate the highest common divisor of 14 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1347227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 350544.5082 and 4.\nAnswer: 350548.5082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-6))\/(((-66)\/36)\/1)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1136 and 1825168.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n - d + 20 = 5*n, 0 = 6*n + 2*d - 32 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s**3 - s - 4. Let j be g(2). Let l(k) = -36*k**2 + j*k**2 + 17*k**2. Let w(b) = 2*b**2 + 4*b. What is w(l(d))?\nAnswer: 2*d**4 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 838402250*y**4 + 73510554*y wrt y?\nAnswer: 10060827000*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(16\/3))\/((-1)\/4)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4404014230 (base 5) to base 9\nAnswer: 18675403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.47 + -1.97. Let k = -124\/3 - -42. What is the nearest to k in f, 2.2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 517, 521, 535, 565, 617, 697?\nAnswer: 811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000011010 - -10110?\nAnswer: 1000110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*y + 3*p - 28, -3*p = 2*y - 33. Let d(g) = 3*g - 58. Let n be d(21). Which is smaller: y or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-86 - 154 + 68)*(2 + 4*c + c - 4*c).\nAnswer: -172*c - 344","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i + 14. Let m be c(6). Is 370 - 2 - 4\/(-2 - m) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3507372.\nAnswer: 2, 3, 11, 17, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 56 = 3*n. Let z = 0 - 22. What is the tens digit of (n\/4 + 3)*z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2517069?\nAnswer: 3, 197, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13.51 - 1.81. Let h = 12 - t. Let q = 0.27 + 0.33. What is the third biggest value in h, q, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -966, -2435, -4772, -7887, -11690?\nAnswer: -16091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 17040.60031 from -7.\nAnswer: -17047.60031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 4*x**2 - x - 2. Calculate the remainder when 6 is divided by k(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4002 and 2206482?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-1715)*-50*259\/(-37)\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 2. Let l(h) = 11*h - 13. Let r(p) = -5*p + 6. Let k = -20 - -33. Let u(c) = k*r(c) + 6*l(c). What is u(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -99769 * 2\nAnswer: -199538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -5*q**2 + 9*q + 8. Calculate p(7).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13105767 to the power of 1\/2, to the nearest integer?\nAnswer: 3620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/(-2240)*8)\/(6\/16).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-75)\/375)\/((-14)\/910).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y + 4 + 5 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 1.565316.\nAnswer: 0.1565316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 497852 is divided by 124433?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -2810*k**7\/21 - 1499*k**3\/3 - 3*k + 610. What is the second derivative of x(h) wrt h?\nAnswer: -112400*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 28 + 12 = 0. Let y be 8\/(0 - (-4)\/8). Calculate the highest common divisor of y and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s**2 + 4*s - 2. Let d(q) = -4*q**2 + 5*q - 2. Let h be (4 + (-66)\/12)\/(15\/50). Give h*f(m) + 4*d(m).\nAnswer: -m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -17*w**3 + 14*w**2 - 45*w + 61. Let q(b) = -4*b**3 + 4*b**2 - 11*b + 15. Let k(h) = 13*q(h) - 3*y(h). What is k(10)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 3*q + 55 = 131 - 66, -10*q + 4 = -16*a + 20*a - 48 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -2. Let x(a) = a**2 - 2*a - 5. Let d be x(h). Let j = -2261 + 2271. Solve 4 = 3*q - 2*y - 12, -d*q - y + j = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2028282426?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 5*d**3 + 9*d**2 + 6. Let q(n) = 14*n**3 + 26*n**2 - n + 18. Let o(a) = -4*q(a) + 11*v(a). Let x be o(-6). Does 5 divide -5*2*(-3)\/x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*((y*y\/((y\/(y**(-1\/5)*y*y))\/y)*y)\/y)\/y*y**3*(y\/(y*(y\/(y*y**(-2)))\/y))**(-17) assuming y is positive.\nAnswer: y**(119\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 409 divided by -24?\nAnswer: -409\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 19112.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2534034023.25 and -0.3.\nAnswer: 2534034022.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152752.\nAnswer: 2, 9547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53669 and 5149067.\nAnswer: 3157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 13*j**2 + 4*j + 17. Let x be a(-11). Suppose -5*k + 215 = 4*l, 0*k + x = 5*k - l. Is k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 71.519 - 72. Let z = j + 0.781. Suppose 3*d - q + 0*q - 13 = 0, 4*d = 2*q + 20. What is the nearest to 3\/8 in d, 2\/5, z?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 15*w + 85. Let m be h(-7). Let o be -2*(36\/8 - 1). What is the units digit of m\/(-70) + (-432)\/o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 9:04 PM?\nAnswer: 437","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 4*y + 3. Suppose -3*n - x = -9 - y, 0 = 5*n - x - 24. Solve 4 = -2*a, 2*p + a - n*a = 18 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7058099 to the power of 1\/3, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 s when four letters picked without replacement from piiidsdddssdiissd?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*d**2 + 298*d**2 + 658*d**2.\nAnswer: 837*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -2. Let q = 6 - -14. What is the highest common factor of h and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -1, -1.4, -0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2002012200 + -21221?\nAnswer: -2002111121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 3*n + 4 = 7*n, 0 = -4*t + 2*n - 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17 and 42894?\nAnswer: -729198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, 5, 1, 5557, -0.1, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 9 - 7*c + 36456*c**3 - 36875*c**3 in the form g + q*c + w*c**2 + t*c**3 and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 12052420 to the nearest 10000.\nAnswer: 12050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/14233658 and -55\/6698192?\nAnswer: 113869264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 616 divide 1513512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 + -46. Suppose t + 3*t - 3908 = 0. Suppose g = 4*q - t + 133. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13314 + -234?\nAnswer: -14103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 360595 is divided by 817?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, z: 1, b: 6}. What is prob of sequence zcbc?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2179 at least -2179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 136213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(49)\/(-1*sqrt(7)) - (sqrt(448)*-2*-4)**2.\nAnswer: -28672 - 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 2*f + 79 - 28 + f**2 - 2*f.\nAnswer: f**2 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -522 in -7085, -2\/3, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -8035195 less than or equal to -24105587\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4*u + 4 = 0, u = -u + 6. Suppose -12562622 + 115762622 = -t*m. Round m to the nearest 1000000.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**3 + 7*o**2 + 4. Let k be x(4). Let i = -19 + 36. Let h = i + k. Solve l = 2*q + 2*l + 3, -h*q - 2*l - 7 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u + 161. Suppose 0 = -10*h - 127 - 343. Does 57 divide o(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + y + 3*y**2 + y)*(2 + 1 + 2*y - 6*y).\nAnswer: -12*y**3 + y**2 + 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 29273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -u**7\/35 + 13*u**3\/2 - 35*u**2. Differentiate f(s) with respect to s.\nAnswer: -24*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) - -2*(sqrt(847) - (sqrt(847)*1 + sqrt(847))))**2.\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 14*h - 26. Let i be x(12). Let q(u) = 6*u - 3. Let c(a) = 6*a - 2. Let s(b) = i*q(b) + 3*c(b). Let j(l) = -4*l**2. Calculate s(j(p)).\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1382016508?\nAnswer: 2, 103, 3354409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1405, -5658, -12729, -22618?\n\"Answer: -1409*l**2 - 26*l + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 1\/15 (c) -26\/3 (d) -0.2 (e) -3 (f) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 22. Suppose 6*m - 8*m + 8 = v. Let d = 1 + 2. Which is the third smallest value? (a) d (b) -3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (375\/(-10))\/3*-4054 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/5)\/(1\/5). Let g be (m\/9)\/(2\/(-3)). Calculate the smallest common multiple of 11 and g - (2 + -1 - 2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3)\/((-105)\/(-1701)) + (-3)\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 6*v**2 - 7*v - 6. Let n be p(-5). Let x = -4 + n. Solve -r - r + 3*q + 1 = x, 3*r - 4*q = 3 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -19 (b) -27 (c) -415 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3554329?\nAnswer: 1579, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -990 - -1026. Solve -8*b = -j + 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffff. Give prob of sequence ff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -a**3\/3 + 3*a**2\/2 + 2*a - 4. Let o = 5 - 1. Determine z(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49671 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 + 3*k + 3. Let q be w(2). What is the first derivative of 18*d**2 + q + 12*d**3 - 18*d**2 wrt d?\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 * 6\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - ((0 - -2 - -2) + -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 79119 + -42995. What are the prime factors of h?\nAnswer: 2, 11, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23992660 divided by -2.\nAnswer: 11996330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60 or 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10410 is divided by 756.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 0 - 4. Find the common denominator of ((-73)\/(-20))\/(m\/4) and -81\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 0.5, 0.1, -1389?\nAnswer: -1389","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 10 - (-38 + 39).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9072) + 0 + -1)**2.\nAnswer: -72*sqrt(7) + 9073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 231818, 4, -3, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 459376487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) - (sqrt(27) + -2)**2*-6)*-2.\nAnswer: -372 + 138*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - -2. Let k = b - 27. Let n = k + 16. What is the second biggest value in n, -1\/9, 2\/7?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 6*p**2 + 1. Let n be b(1). Suppose 4*f + n = -3*v, -2*v - 5 - 9 = -2*f. Let u(y) = -y + 7. What is u(v)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 29*w**2 + 32*w - 54. Give l(30).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.296805 to 3 decimal places.\nAnswer: 0.297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -l**4\/2 - l**3\/3 - 47*l + 4. Give z(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 32\/15. Which is the second biggest value? (a) -0.1 (b) -0.2 (c) u (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -i**4\/16 + 1727*i**3\/12 - 746495*i**2\/8 + 744769*i\/4 - 1491. Factor b(n).\nAnswer: -(n - 863)**2*(n - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65789641 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1174?\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.416782 meters in micrometers?\nAnswer: 1416782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(2) + -1 + sqrt(162) + sqrt(162) - sqrt(24)\/(2*sqrt(12)) - 3*(0 + -1*sqrt(2) + sqrt(2)))**2.\nAnswer: -39*sqrt(2) + 1523\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 6*x**2 - x**3 - 108*x + 4 + 120*x + 12. Let y be b(7). Calculate the greatest common divisor of 34 and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 + -10?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-115)\/69*(-72)\/210.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 153, 152, 157, 174, 209, 268?\nAnswer: 357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 75 - 78 + 24 - 6*v. Let l(y) = -2*y**2 - 3*y - 2. Let k be l(-3). What is the tens digit of o(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -432947426 to the nearest one million.\nAnswer: -433000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -133, -3.\nAnswer: -133, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 16041580 divided by 8020790\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 8*u + 6. Let q(n) = n. Let t = 175 - 176. Determine t*l(w) + 6*q(w).\nAnswer: -2*w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3475 - 3479. Sort 2, -8, -2, l in decreasing order.\nAnswer: 2, -2, l, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1812 divided by 604\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 268 = 3*j + j, 4*j + w - 272 = 0. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 5*d**7\/42 + d**3\/6 + 10*d. Find the second derivative of b(m) wrt m.\nAnswer: 100*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2557*z**6 - 81*z**4 - 300468*z**2 wrt z?\nAnswer: 306840*z**3 - 1944*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 487 + -326. What is the first derivative of 319*z - 232*z**3 - 158*z + 104 - q*z wrt z?\nAnswer: -696*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6540.8774458 - -6540.8. Let h = -0.0773 - f. Round h to 5 decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191989 is divided by 223.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -5*n**2 + 6*n - 8. Let m(f) = -f**2. Let a(h) = k(h) - 4*m(h). Let s be a(4). Let b = 1\/642 + 1241\/27606. Which is smaller: b or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -9*g + 13. Suppose -22*r - 11094 = -11248. Let y(v) be the first derivative of r*v - 5\/2*v**2 - 15. Determine 6*t(k) - 11*y(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of 0*p**2 + 0*p + 3\/4*p**5 + 1\/2*p**6 + 13 - 21\/16*p**4 - 1\/2*p**3. Solve m(k) = 0 for k.\nAnswer: -2, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 4*w + 3. Let m = 51 - 29. Suppose i + i - m = 0. Let k be (-460)\/(-110) + (-2)\/i. What is o(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/561 and 13\/782.\nAnswer: 25806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 931378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 17 - (-47 + 71) - (1 + 54)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kykkkkkykkkkk.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69252103?\nAnswer: 23, 47, 64063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(65)*4)\/(2*sqrt(25)\/sqrt(5)).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1141 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 2. Suppose 0*z - 114 = -d*m + z, -z - 75 = -2*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 + 1)*356497\/49172?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/480 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 3, -5*n = 152*s - n - 56 + 204 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x**2 - 21*x. Let j(t) = -t. Calculate j(k(g)).\nAnswer: -3*g**2 + 21*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 6:25 AM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5\/8 of a milligram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 2\/5 (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 135 - 81. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*f - 173*f = 86*f + 5156 + 8296 for f.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -473700 by -10.\nAnswer: 47370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 4*l**4 - 2479072*l**3 + 512163052800*l**2 - 35273693349357568*l + 564247990002221056 = 0.\nAnswer: 16, 206584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = 7*f - 4. Let y be f\/2 - -10 - 4. Suppose 78 = -y*c + 658. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2 - h - 3. Determine z(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -15825, -31653, -47487, -63327, -79173, -95025?\n\"Answer: -3*g**2 - 15819*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -255*z**4\/4 - z**3\/3 - z**2 - z + 60. What is the tens digit of y(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 818.1043ms to seconds.\nAnswer: 0.8181043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 8 + -247 + 234?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 216 and 219 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 6:15 AM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 393*i + 394*i + 402*i - 1203*i - 2.\nAnswer: -14*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 11*p + 7. Let n be m(5). Let t = 33 + n. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/4 + 89*d**2\/4 - 839*d\/2 - 930.\nAnswer: -(d - 60)*(d - 31)*(d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 192.41 and -0.3.\nAnswer: -57.723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)\/(sqrt(192) - sqrt(12)))\/(sqrt(432) - sqrt(3)) + ((sqrt(110) - -1*sqrt(110) - sqrt(110) - sqrt(110))*-4)\/(sqrt(80)\/sqrt(32)).\nAnswer: sqrt(11)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -79 + 51. Let z(n) = 2*n**2 - 8*n - 149. Let s be z(10). Is r less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 3*x - 5. Determine b(9).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 17)\/((-24)\/(-68))*-3. Let f be (-2)\/(-5) - a\/(-10). Let q(j) = 7*j - 33. What are the prime factors of q(f)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 23*z**2 - 19*z - 62. Suppose 0 = 22*i - 329 - 1. What is the remainder when i is divided by l(22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 881689*i**2 + 1351898*i**2 - 621490*i**2.\nAnswer: 1612097*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of 1\/20*v**5 + 2*v**2 - 2\/3*v**3 - 1\/6*v**4 - 3 - v. Give k(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 313485?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -217648 by 4.\nAnswer: -54412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 5:28 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2244 - 2211?\nAnswer: -4455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*o, 2*o - 21 = -3*w - o. Let v(b) = -b**2 + 34*b + 47. Let j be v(35). Find t, given that 10*t**w + t**2 - 2 - j*t**4 + 3*t**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290815333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/55 in 2, -4, 28?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, e: 1, b: 6, u: 7}. What is prob of sequence ue?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2150*j = 2149*j + 22. Calculate the greatest common factor of 429 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-500)\/(-16) + 1\/(-4). Suppose -p - 53 = -4*k + 4*o, -2*k + 3*o + 39 = 0. Let l be 0 - (-1)\/(2 - 1). Solve k = -5*n - l for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6798*s - 6811*s + 13629*s - 227 - 373 = 0 for s.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011472 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175 divided by -218017.\nAnswer: -175\/218017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220*m - 232*m = -108. Solve -5 = m*i + 40 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**13\/(w*w\/(w\/(w*w\/(w**26*w*w*w*w))))*(w*w\/(w**(-20)*w)*w)\/w*w**3 assuming w is positive.\nAnswer: w**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(55\/7)*((-42)\/7)\/(3087\/147)?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b + 10. Let j be g(-6). Suppose 5*u - 50 = -0*u. Calculate the remainder when (38\/1)\/1 + (4 - j) is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*(2*m - m - 3*m).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 1319 = 1419. Solve -4*y = -5*c + 20, r + 0 = 5*c + 2*y for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.029454 and 5?\nAnswer: 4.970546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1116445 divided by 5?\nAnswer: -223289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 173463232 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: Let i = 2790 + 1003. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2359 + -2.2359. What is the third biggest value in -5, -3\/13, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 1e0d88?\nAnswer: -1e0d86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55381.\nAnswer: 55381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.14 (b) 1 (c) -0.1 (d) 3192 (e) 81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (712\/(-16))\/(3\/12*-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + (sqrt(288) - sqrt(288)*3) + -4 + 1)**2 + 1.\nAnswer: -3602 - 1008*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, i: 2, p: 5, w: 1, v: 3, q: 1}. Give prob of picking 1 p, 1 i, and 1 q.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**3 + 2*j + 7 + 0*j - 4 - 1 to t + h*j**2 + c*j**3 + z*j and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z - 11. Let u be p(-6). Let y = u - -8. Suppose -y*k + 7 + 53 = 0. Does 20 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by (1\/3)\/(21\/441)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwtttttwcwttow. What is prob of sequence ow?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/(-2))\/(245\/420))\/(4\/(-70))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4 + 0 + 2 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 563.3184 rounded to 0 decimal places?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1324 (base 5) to base 3.\nAnswer: 21221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 221928.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 1 = -3*r, 3*r - 1 = -4*q + 3. Suppose 4*n = r*n. Let a(i) = -i + 1. Give a(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 468 = 2*r + 3*c, 0 = -4*r + 4*c - 632. Suppose 5*f - 32 = -4*v, -2*v + 2*f - 2 = -0. Is r\/v*(-11 - -8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 164917563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 303660 + -135863. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -2 (c) 3\/8 (d) -183 (e) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 + (-3)\/((-24)\/(-11)) and -13\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 4566 - 5488 = -751. Is i a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2322122 is divided by 474?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5198, -20949, -47188, -83903, -131082, -188713?\n\"Answer: 2*s**3 - 5256*s**2 + 3*s + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -383 + 3?\nAnswer: -380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9282407?\nAnswer: 29, 320083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 1:52 AM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.48 + -2.55. Let x = -0.13 + u. What is x rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -78 and 69656.\nAnswer: -5433168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 v when four letters picked without replacement from {u: 1, h: 1, p: 3, v: 4, f: 4}.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -3978632*f**2\/5 + 3978633*f\/5 - 1\/5 = 0.\nAnswer: 1\/3978632, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -119*u - 546. What is p(-5)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17382 - -30691. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 757853 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(440) + sqrt(440))\/sqrt(10))\/(sqrt(4)*-3*-6).\nAnswer: -sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2772726.02 to the nearest one hundred thousand.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14811 to the power of 1\/2, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.62903709 to one decimal place.\nAnswer: 16.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -15*l**2 - 137*l - 6. Let j be h(-9). Calculate the highest common divisor of 20364 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 22 = -o, -18*t + 22*t - 14 = 3*o. Solve 0*m = -m + o*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 266950a - 4?\nAnswer: 2669506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47\/988 + -3\/52. Let s = -13.4 + 13.03. Let h = s - 0.13. Put -3, h, j, 2 in decreasing order.\nAnswer: 2, j, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10\/(-5))\/(525\/(-3)))\/(1289\/1289)?\nAnswer: 2\/175","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16974, 17154, 17320, 17466, 17586, 17674?\nAnswer: 17724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 14\/13 (c) -0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2007, -2810, -3629, -4470, -5339, -6242, -7185?\nAnswer: -8174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 238451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -l**4\/4 - 8*l**3\/3 - 3*l**2 - l - 1072. Calculate m(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-165)\/(-2860))\/(((-30)\/(-14))\/(6*12\/(-63))).\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 35657?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*v = -68*v + 309. Sort v, 4, 19, 0, -5 in descending order.\nAnswer: 19, 4, v, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 293*r**3 - 2*r**2 - 14*r + 21. Let t be a(3). What is the highest common divisor of 192 and t?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of y**4\/12 + 3*y**3\/2 + 11*y**2\/2 - 28996*y. Let q = 4 - 12. Determine i(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 515447989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 30\/7 - 2. What is w in -i - 2\/7*w**2 + 4\/7*w = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 3. Suppose r + 0*r - f = -3*q, 0 = 5*q + 2*r - 2. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23*6\/(-216) + 4\/36.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 - 70\/(-21))*206118\/22?\nAnswer: 3, 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 10:57 PM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -886865 at most -886865?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -199*i**3 + 29 + 199*i**3 + i**5 + (2*i**5 - 5*i**5 + i**5)*(1 + 3 - 3).\nAnswer: -i**5 + 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 5*u - 2. Let d(f) = f. Let l(z) = -2*d(z) + r(z). Let o be l(2). Suppose -2*w + a = -40 + 3, o = 5*w - 5*a - 80. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2)\/(k*k\/((k\/k**(3\/8)*k)\/k)))\/((k**(-6)*k)\/((k\/((k\/(k*k*k*k**(-4)*k))\/k))\/k)))\/(k**(-3\/4)\/(k**2\/k))**(-23) assuming k is positive.\nAnswer: k**(-309\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5915a46 (base 11) in base 10?\nAnswer: -10329820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1145838*o**2 - 7*o - 11357 wrt o.\nAnswer: -2291676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*h - 79*h + 20550 = -157*h - 460*h for h.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18.9973 + 19. Round m to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33194 is divided by 33165?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -199*t**4 - t**2 - 2*t + 210?\nAnswer: -2388*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2465?\nAnswer: 5, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0035331 to five decimal places.\nAnswer: 0.00353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/7? (a) -1\/4 (b) 4 (c) -2\/7 (d) 1\/7 (e) -63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -o**5\/120 - 85*o**4\/48 - 7*o**3 + 246*o**2. Find k, given that m(k) = 0.\nAnswer: -84, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 270360*s - 1892520. What is m(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9a3 - 2?\nAnswer: -9a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of f**5\/30 + f**4\/6 - f**3\/2 - 5*f**2. Does 4 divide g(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 327\/18 + 5\/(-120)*4. Let u(c) = -c**2 + 64*c - 13. Is u(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 l when three letters picked without replacement from {v: 2, f: 7, l: 4, n: 2, o: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -45 and -8836 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 202201 (base 3) to base 5\nAnswer: 4214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 5\/4, 18, 65\/7 in ascending order.\nAnswer: 0.4, 5\/4, 65\/7, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y + 2. Let u be n(2). Suppose u = -5*m + 3*d + 476, -4*m - 90 = -5*m - 2*d. Is 12 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -o - 2*o. Suppose -s = -k + 2 + 1, -2*s + 4*k = 12. Suppose 0*g + 3*g - 12 = s. Solve o*r = r - g for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2321078 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 643694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/3*3\/11. Let o be (3 - 4)\/((-7254)\/(-1038)). Let s = o - 1\/93. Which is the third smallest value? (a) 4 (b) f (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1168325.\nAnswer: 5, 17, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3088 and 7720.\nAnswer: 15440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 6*b + 7. Let d be k(-5). Let h be -24*((-341)\/62 + 5). Put -5, d, h in decreasing order.\nAnswer: h, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 3*h + 4. Let w be v(-3). Suppose 0 = w*d - 4*y - 44, 2*y = -1 - 7. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 9*n + 10. Let z be r(1). Let j be z\/(570\/(-792)) + 2\/5. Is j less than or equal to -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 258.98 - 259. Which is smaller: 2\/83 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 6:39 AM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 28*i. Let g(h) = 3*h - 1. Let p(v) = 85*v + 2. Let z(l) = -2*g(l) - p(l). Calculate q(z(o)).\nAnswer: -2548*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + 1. Let q(h) = -5*h - 288. Let s(g) = -11*g - 717. Let m(d) = -5*q(d) + 2*s(d). What is m(k)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*d - 13 = a - 42*d, 4*d = -3*a + 39 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 370 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 7 (b) 0.09 (c) 6\/271 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -18999, -19009, -19031, -19071, -19135, -19229?\n\"Answer: -p**3 - 3*p - 18995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -6*m + 2*m + m + 2 - 4. Let l be g(-3). Suppose 3*v - 2*y + l*y - 181 = 0, v + 4*y - 51 = 0. Is 20 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(2 - 11\/6). Let i = 2 + -5. Let n = i - -5. Sort m, n, 0 in increasing order.\nAnswer: m, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4*u + 82, 5 - 15 = 2*i. Let o = 20 - u. Solve -2*l = -4*x + 4, o*x - 4*l + 2 - 10 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1289, 5, 12, -7 in descending order.\nAnswer: 1289, 12, 5, 4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 65 = p + 2*p, -41 = -3*p + z. Let h = 15 - p. Which is the closest to -1\/4? (a) -3 (b) 5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 15152700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4624 + 28*h**4 + 4624 - 8*h + h**3 + 10*h to m*h + t*h**4 + p*h**2 + l + v*h**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 0)*(-3*w - w + w)*(-2*w - 2*w + 2*w**2 + 2*w) in the form u*w + c + q*w**3 + k*w**2 and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.012401 millilitres to litres.\nAnswer: 0.001012401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 23714 + 5596 = 11*d. Does 15 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 + 176 = 3*k. What is the highest common factor of k and 294?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0*v + 4 = 0. Suppose -4*h + v*a = -h - 62, 4*h - 76 = 4*a. What is the remainder when h is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -170847084 greater than -170847096?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/5*(-70)\/(-2). Suppose -12 - z = -5*s. Let a(c) = c**2 - 9*c + 11. What are the prime factors of a(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 9530*m + 9535*m + 11 = 0, 5*m - 2*m + 7 = z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-1 - (-19 + 8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3100*z + 658*z - 152*z = 305*z - 165050 for z.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -232000 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21*f + 20*f**2 - 2*f**2 + 19*f)*(0 + f + 0) to the form d*f + s + a*f**3 + m*f**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 610 - 603. Let y be 4\/(-28) - 27\/(-42). Which is the biggest value? (a) m (b) -8 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5770, -23037, -51796, -92041, -143766?\nAnswer: -206965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, p: 17}. What is prob of picking 1 y and 1 p?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3958? (a) -4 (b) -5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -297 + 289. What is the units digit of (-1)\/k - (-4)\/(-32)*-5863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4884668?\nAnswer: 2, 1221167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1750 = -4*l + 14*l. Let d be (517599 + 1\/1)\/((-14)\/l). What is d rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 3*k + 2. Let a be w(4). Let y(d) = -d**3 + d**2 + 5. Let c be y(-4). Suppose 0 = -a*m + m + c. Is m a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -267 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 26*t + 6*t - 2323*t**3 + 18*t - 29*t**2 + 31*t**2 as x*t**3 + p + n*t + y*t**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118 - 77 + 403 = -74*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 159*z**2 + 258625*z**3 - 259356*z**3 + 190*z**2 wrt z.\nAnswer: -4386","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1924361*t**2 - 1924361*t**2 + 1234*t**3.\nAnswer: 1234*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 divided by -57?\nAnswer: 41\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2537\/5 + 507. Which is the closest to -2\/7? (a) h (b) 0.1 (c) -0.5 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3*b + 6*b + 7*b)*(0 + 2 + 0) - 2 + 2 - b + (-3*b + 0*b + b)*(-1 + 0 + 3))*((0 + 0 - 2)*(5 + 1 - 4) - 4 - 1 + 3) as z*b + w and give z.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2537 + 2529 - (2 + -1 - -15).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(30)*1)\/sqrt(10).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 - (-1347 + 1355 + (-1 - (-5 + 1))).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3000731 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -323483 or -323484?\nAnswer: -323483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -2*j**3 + 14*j. Let i(g) = -2*g**2. Calculate i(v(o)).\nAnswer: -288*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 - 2*z**2 + z**2. Let r(s) = 105*s. Let f(g) = -8*g. Let c(b) = -27*f(b) - 2*r(b). Give t(c(i)).\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -281\/3468?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 5*y - 1. Let j be p(2). Suppose -k = -3*h + j, 5*k - 21 = -5*h - 6. Solve 0 = -n + 2*w + 4, h*n + 3 = 2*w + 7 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**3*q**2*x**3 - 258*d**3*q**2*x - 4*d**3*q*x**3 + d**2*q*x**2 + 24*d**2*q*x + d*x**3 wrt q?\nAnswer: 2*d**3*x**3 - 516*d**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/12 and -7\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -122 - 148. Let r be (60\/m)\/(-4*4\/18). Which is the nearest to 0.1? (a) -1 (b) -0.5 (c) -5 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1066923 and 45595.\nAnswer: 5334615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r - 854 + 838 = 0. What is the second smallest value in -41\/3, r, 0.4, 0, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 18*b + 240. Let w be a(-12). Let s be (91\/13)\/(28\/w). Solve 21*y + s = 18*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5016 - 1?\nAnswer: -5020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 858464 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -9. Let i be 1\/(-3) + 4\/6. Let h = -2301\/8 - -288. What is the closest to v in i, 0.1, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18*(-4)\/(-16)*(-1)\/((-9)\/24).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 11*d**2 - 11*d - 16. Suppose 5*s = -5*g - 75, -17 = -2*s + 2*g - 27. Determine r(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 1:43 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1995 equal to -17965\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 2 - (5 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 241, 2\/1233?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2095*c - 788 - 790 + 2377 - 799.\nAnswer: 2095*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**4 + 60*f**3 + 279*f**2 + 378*f = 0.\nAnswer: -14, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*l - 2617 = 503, -4*l + 766 = -z. Let c = z - -498. Let q = 729 + c. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 10 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 31 and -16.31.\nAnswer: 14.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 193 + -174. Let z = v - 22. What is the nearest to 0.1 in 2\/19, -14, z?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20396509 is divided by 2549563.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -h + 13 - 48, -4*h = -3*r + 2. Let d = -6 - r. Suppose -k + 30 = -d*k. Is 10 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-195)\/130)\/((-3)\/70096)?\nAnswer: 2, 13, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -5*m + m - 7*m. Let b(q) = 2*q**2. What is w(b(h))?\nAnswer: -22*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -535 + 902. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (20\/(-18))\/((-103)\/1236). Suppose -4\/3*g**2 - 12 + o*g = 0. What is g?\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 138?\nAnswer: 4\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (6 + -5)) + 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 4*l**2 - 2*l. What is f(3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 665*z = 666*z, -s + 2*s + 8*z - 3 = 3*z for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 11:30 PM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (-82 - (-62 + -8)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 + p**3 + 0*p**3)*(-p**2 - 75 + 7 + 27).\nAnswer: -2*p**5 - 82*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2974 = 109*t + 818 + 350 for t.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40187659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -23*k**4\/24 - 19*k**3\/6 + 23*k**2. Differentiate a(l) wrt l.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -517.08*0.02\nAnswer: -10.3416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -8. Suppose 3*p + f = 48, -4*p + 0*f + 3*f = -77. Suppose c*m - p = 3. Is 4 <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 1133 = -120*l + 1673. Put 75, -1, l in descending order.\nAnswer: 75, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3\/4, 1, -2, 2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*p**3 + 11*p**2 - 12*p**2 + 2*p**2 - 5*p**2.\nAnswer: -53*p**3 - 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20.3 - 19. Let b = 2.4 - a. Let g = b - 1.1000098. What is g rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/4404 + -36457\/7340. Find the common denominator of -25\/14 and t.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100212101 + -1?\nAnswer: -100212102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 141*b**4 - 3*b**3 + 3*b**3 + 176*b + 10*b**3 - b**2 - 135*b**4 wrt b?\nAnswer: 144*b + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 - 7)*(2 + 1 + 1) + (3 - 3 + 1)*(0 - 1 + 0))*(1 - 1 - l**3).\nAnswer: 21*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 13\/2 - 18\/(-12). Suppose j*h - 76 = 60. Suppose 3*k - 30 + 3 = 0. Calculate the remainder when h is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29830, -29593, -29234, -28753, -28150, -27425?\nAnswer: -26578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, x: 1, f: 3}. Give prob of picking 1 f and 1 x.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (2\/(-8) - (-21294)\/24)\/((-38)\/(-114))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/40 and -27\/368.\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.26052238 - -3\nAnswer: 2.73947762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/26*(-1833)\/141.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -36687 divided by 5241\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -48*k**4 + 28748*k**3 - 773456*k**2 + 3458560*k + 28061696 = 0. Calculate k.\nAnswer: -4, 16, 6851\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/4*(0 + (-4)\/(-6)). Let i(z) = -z**3 + z + 2. Let h be i(d). Calculate the highest common divisor of 14 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 257147 (base 8) to base 9.\nAnswer: 146040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*q + 69 = 272*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.245 + 12.245. Let q = 54298.7 - 54310.69865. Let d = q + i. Round d to 4 decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -646*i**2 - i**4 + 210*i**2 + 4*i**4 + 3*i**4 - 8*i**4 - 2*i as r*i + u + d*i**2 + z*i**4 + x*i**3 and give d.\nAnswer: -436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**0)**(3\/4)\/((o**(1\/17)\/o)\/((((o\/(o\/((o\/(o\/o**(-1\/9)))\/o))*o)\/o)\/o*o)\/o)))**21 assuming o is positive.\nAnswer: o**(-1799\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.12, -0.4, -0.2, 11\/9, -0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 282\/(-90) + ((-47)\/(-15) - 3). Let p(k) = -k**2 + 3*k + 1. What is p(n)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1269)\/(-36) + (-55)\/44. What is the highest common factor of o and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 - (-154 - -48) - 20.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 167975.9?\nAnswer: 671903.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 21389 = s, -3*s = 12*d - 8*d - 64147. What are the prime factors of s?\nAnswer: 5, 7, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1883 = 104*r + 925 for r.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 475*v + 3*v**4 - 5*v**4 + v**4 + 1 + v**2 - 478*v to the form r*v**2 + w*v + a*v**3 + c + p*v**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4*b. Let j(r) = r**2 + 2*r**2 - r**2. Determine j(i(p)).\nAnswer: 32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 7:03 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12082437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 56*c**3*u**3 - 26*c**3*u + c**3 - c**2*u**3 - c**2*u**2 - 12112*c**2 wrt c.\nAnswer: 336*u**3 - 156*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**6*t)\/(t*t**(-2)\/t*t*t))\/(t**(-4))**(-1\/13) assuming t is positive.\nAnswer: t**(87\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 1150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 31\/7 + (-44)\/(-77). Solve -5*z = -0 + u for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56 - 58. Sort j, -0.2, 4\/9 in increasing order.\nAnswer: j, -0.2, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u + 3*u + 0*u + 0*u - 2*u + 4*u + (18 - 2*u - 18)*(-5 + 2 + 1) - u + 3*u + 0*u to h*u + t and give h.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-157848)\/6577*4\/((-4)\/(-2)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7050 and 47940.\nAnswer: 239700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.4, 1\/3, -0.05, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) 0.451 (c) 2062\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11099143021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bvjbbddssbjjjjjbbb. What is prob of sequence bss?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - g**4 - 56*g + 55*g - g**4 to t + q*g**3 + w*g**4 + i*g + b*g**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -18?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1180566011 a multiple of 2708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmryrrm. What is prob of sequence my?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(80) + -4*sqrt(80)*-3.\nAnswer: 2 + 52*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 12 and 83.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 138665, 137965, 137265?\n\"Answer: -700*u + 139365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus -15213?\nAnswer: 15212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -21987, -21963, -21923, -21861, -21771, -21647, -21483?\n\"Answer: r**3 + 2*r**2 + 11*r - 22001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 6*l**2 - 14*l + 17. Give a(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.5 and -59.776.\nAnswer: -89.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 8*u - 8. Let m be t(4). Suppose f = -8 - m. Let j be f\/(-18) + (-6)\/(-27). Solve j = -2*a - 8 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5421 (base 9) to base 5.\nAnswer: -111423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3557 = -2*i + 1655, d - 13030 = -5*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**2 - x. Let l(m) = -3*m**2 + m. Let j(p) = -4*l(p) - 3*y(p). Let i(b) = b. Calculate i(r) + j(r).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 14*v**2 + 3*v - 52. What is the remainder when q(8) is divided by 72?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/70 and -69\/8008?\nAnswer: 40040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 2\/3*r**3 - r**2 + 3*r + 5. Let p(w) = -w**2 + 6*w + 9. Let a be p(7). Calculate d(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8970 and 540.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 154\/21 - (-12)\/(-9). Let n(g) = 11*g - 31. What is the remainder when n(f) is divided by 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, s: 2, h: 1, m: 1}. What is prob of picking 2 e and 1 h?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8359 + 18230. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -784615 by 4.\nAnswer: -784615\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b**3 - 10*b**2 + 46*b + 44. Let d(t) = 4*t**3 - 15*t**2 + 66*t + 64. Let o(y) = 5*d(y) - 7*h(y). Determine o(-5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of x**4\/6 + 11*x**3\/6 + x**2 - 352*x. Calculate h(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 2:43 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-5*2*sqrt(98)*5*-1)**2.\nAnswer: 245000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 - 55. Does 36 divide -4 + ((-1)\/f - 4956\/(-16))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6502508 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 806cec (base 15) in base 8?\nAnswer: 27206374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -7*h + 3. Let y be c(4). Which is smaller: -26 or y?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0693388 and 1?\nAnswer: 0.0693388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 2*b + 562. What is the hundreds digit of c(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s - 48*s**3 - 7*s - 905*s**3.\nAnswer: -953*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -880*l - 646*l - 875*l + 3315*l - 880*l.\nAnswer: 34*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78869324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 153*u - 156*u + 42. What is the least common multiple of 16 and u?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 122 - 119. Suppose -7*l = -z*l + 3*s - 29, 4*s - 17 = -l. Determine q so that -4\/7 + 4\/7*q**l + 8\/7*q**2 + 4\/7*q - 8\/7*q**3 - 4\/7*q**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 - 2*u**2 - u**2)*(-6 + 4 + 4) + (6 - 1 + 11)*(-5*u + 2*u + 4*u)*(1 + 12*u - 18*u + 11*u).\nAnswer: 72*u**2 + 16*u","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is 152449841 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1867.0002 - -1867. Which is the nearest to -0.1? (a) 3 (b) -2\/19 (c) -2\/7 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58742?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 0*i - 2*i + 10 = 0, 0 = 2*n + 4*i - 12. Let a be 18\/(-3*3\/(-66)). Suppose n*r = -r + a. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 62538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 78468992.8 to the nearest 100000.\nAnswer: 78500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -185787, -371584, -557381, -743178, -928975, -1114772?\nAnswer: -1300569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of f**5\/4 - 35*f**4 + 1960*f**3 - 54880*f**2 - 2*f + 15. Solve i(x) = 0.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11, 2, 63, 196, 425, 774, 1267?\n\"Answer: 4*a**3 - 15*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 322.1567g?\nAnswer: 0.3221567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f - 1. Let m(d) = 2*d - 8. Give -4*l(r) - m(r).\nAnswer: 2*r + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/(-60)*(-115)\/(-276)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 0) + -2 + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 6478*u + 10. Let c be s(5). Round c to the nearest 1000.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 7 = 4*b. What is the remainder when b is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -2 + (-77 - -58 - -77)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**3\/7 - 78129*b**2\/7 - 546666*b\/7 + 2343240\/7 = 0 for b.\nAnswer: -26036, -10, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 4*x + 40, 3*x + 3*m + 9 = -0*m. Let g(c) = -c**3 - 7*c**2 - 3*c - 9. What is the least common multiple of g(x) and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 844621 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -20*u**3 + u + 1. Let f be o(-1). Suppose -2*m = -f - 2. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = k - 2*q + 13, -5*q - 20 = -5*k. Let h = k - -1. Put h, 3, -5 in decreasing order.\nAnswer: h, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(171)*-2 + sqrt(171).\nAnswer: -3*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1396.83 rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -20133234 (base 6) to base 4\nAnswer: -2023231312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m - 6. Let h be i(1). Let j(t) = t**3 + 9*t**2 - 4*t + 3. What is the units digit of j(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.8 + -0.2. Let w = d - 8.6. Let x be (-2 + 4)*2\/(-22). Sort x, -0.2, -5, w.\nAnswer: -5, w, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 83, 73, 55, 23, -29?\n\"Answer: -y**3 + 2*y**2 - 9*y + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aakk when four letters picked without replacement from akakaaakkk.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**3 + b. Let g(c) = 72*c**3 + 6*c - 157. Let r(n) = g(n) - 5*z(n). Differentiate r(v) wrt v.\nAnswer: 186*v**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 102.9 + -1.9. Let v = 96 - a. What is the nearest to 1 in 5, -4, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ypyy when four letters picked without replacement from {w: 1, y: 1, h: 8, p: 6, l: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -3, 29, -10, 270, 47.\nAnswer: -10, -5, -3, 4, 29, 47, 270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -105 and -0.038916971.\nAnswer: -105.038916971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 14 = a, 3*g - 1007 = 2*a. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.81 times 0.125?\nAnswer: -0.97625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4992516 divided by 2?\nAnswer: 2496258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {f: 16, n: 4}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*c = 9*c + 1709 - 89. Suppose 3*t = 5*t - 108. What is the greatest common divisor of c and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 88*c**3 + c**2 - 175*c**3 + 17*c + 89*c**3 to y*c**2 + g + q*c**3 + f*c and give f.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96593 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 y when two letters picked without replacement from jyojuuojougqjjju?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5*z = 0, -12*f + 16*f + 3*z = 0. Put f, 3, -3\/2 in increasing order.\nAnswer: -3\/2, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 1:00 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*p + 0*p**2 + 8*p**2 - 150*p.\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + k - 1. Let s(a) = a**3 - 2*a**2 - 7. Calculate the remainder when w(-2) is divided by s(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 47 = h, -5*t - 3*h + h + 95 = 0. Suppose -2*g - 114 = 3*a + 16, -4*g = -a - 48. Let q = t - a. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.23 in 12, 5, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - y)*(85*y - 32 + 32).\nAnswer: -85*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -2)*(-1)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -10*a + 12. Let y(p) = p**3 + 8*p**2 - 3*p - 10. Let j be y(-8). Suppose c - j = -c. Let l(s) = -2*s + 8 - c + s. Give -d(f) + 12*l(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 376419?\nAnswer: -1505676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -12.7. Let x(o) = o**2 + 10*o - 74. Let v be x(5). Sort h, v, -0.19 in descending order.\nAnswer: v, h, -0.19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 605152448 greater than 605152448?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + (sqrt(231)*1 - sqrt(231) - sqrt(231))\/sqrt(7) - sqrt(1188)*1)\/(sqrt(352)\/sqrt(72) + sqrt(6336)*2).\nAnswer: -9*sqrt(3)\/73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -c**4 - 2*c**3\/3 + c**2\/2 - 2*c + 1. Let j be h(-2). What is the highest common factor of j and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(4032))\/(-6*sqrt(4)*-1))**2 + ((5 + sqrt(3388) + (sqrt(3388) - (sqrt(3388) + (-1 + sqrt(3388) - sqrt(3388)) + sqrt(3388))))*-2)**2.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -6, -3*s - z + 2*z + 8 = 0. Suppose 2*t - 26 = -3*g, s*g + 3*g + 3*t - 42 = 0. Suppose -4*a = 2*i + i - 10, g = 3*i. Solve 0*l - a = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -1. Suppose 15 = 6*g + 3. Suppose -g*x + 10 = 3*x. Solve -l - 4 = -x*f, y = -3*l - f + 17 - 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3360 divided by -112\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/2)\/((-21)\/(-35)). What is the tens digit of ((-46)\/6)\/(p\/60)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -7*s + 3. What is r(6)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -960884 rounded to the nearest 1000?\nAnswer: -961000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52872 = -16*k + 88232. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z - 26. Let y be b(17). Let a(u) = u + 11. Calculate a(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*o + 0*o + 18*o)*(0*o - 2*o + o) + o**2 + 2*o**2 - 4*o**2 + (0*o - 3*o + 2*o)*(1 - 1 - 2*o) in the form z*o**2 + p*o + m and give z.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 7. Calculate the greatest common divisor of 25 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*z**2 + 8*z**3 + 30 + 38 - 23*z**6 + 2*z**6 - 2*z**2 wrt z?\nAnswer: -2520*z**3 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -7*i - 1. Let h(n) = -36*n - 4. Let q(y) = 3*h(y) - 16*s(y). Let v be 286\/(-88) - (-2)\/8. Give q(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*q - 343 + 343.\nAnswer: -25*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -31 + 31 - 3*f**2 + f**2. Suppose -69*y = -67*y - 4. Let r(w) = 114*w**2 - 60*w**y - 62*w**2. Calculate r(t(g)).\nAnswer: -32*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(19) - (sqrt(152)\/sqrt(8))**2) - (sqrt(931) + sqrt(931) + -5)**2.\nAnswer: -3771 + 141*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 30\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2159 is divided by 108?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.9? (a) -1 (b) 10 (c) 0.3 (d) 0.03 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1088)\/(-10) - 21\/(-105)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -57.5 - -58. What is the nearest to -0.1 in s, 3\/4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**2 - 9*w + 23. Let b(p) = -3*p**2 - 8*p + 23. Let g(v) = 5*b(v) - 6*f(v). Let c be g(8). Sort -4, 0, c in decreasing order.\nAnswer: 0, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 85*j - 5 = 173*j - 89*j, 3*j = 17*a - 37 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -10*n - 359. What is the remainder when m(-46) is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2 + 2*j + j - 3. Let x be i(5). Is x smaller than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290*o + 316 = -548 - 296 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 1431*n**2. Let p(d) = -11*d + 1. Determine p(g(u)).\nAnswer: -15741*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + 4.92.\nAnswer: 2.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5271622 to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 7*i**2 - 2*i - 10. Let k be r(-7). Let g(m) = -2*m**2 + 2*m - 3. Let n(p) = -4*p**2 + 4*p - 7. Determine k*n(q) - 9*g(q).\nAnswer: 2*q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 2 + 3)*(-2 - 7 - 16)*(-8*i + 4*i - 3*i).\nAnswer: 1925*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -145 divided by 438946\nAnswer: -145\/438946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2\/125 of a gram?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j - 9*j + 3*i + 3132, -5*i = -3*j + 3134. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19415680 divided by -184\nAnswer: 105520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 2\/23, -8967 in increasing order.\nAnswer: -8967, 2\/23, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.047 - -0.024. Let u = -12528.823 + 12543. Let z = x - u. Round z to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 84 + -163. Let y(v) = -9*v**2 + 2*v - 3. Suppose 6 = 4*g - 2*g. Let s be y(g). Which is bigger: s or n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 16, -94, -2, 5, -14, -15 in ascending order.\nAnswer: -94, -15, -14, -5, -2, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -y**4\/12 + 2*y**3\/3 + 6*y**2 + 9*y. Let g be r(6). Which is greater: 2\/45 or g?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 23 = -4*d. Suppose -d = -w - 0*w. What is the remainder when 31 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, 0.1, -0.4, -249, 1289?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*d = -105, 2*f + 3*d + 73 = 3. Let a = -175 + 281. What are the prime factors of (-3 + f\/(-10))*a?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7169390.81 rounded to the nearest one hundred thousand?\nAnswer: -7200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0439 and -0.34145016.\nAnswer: -0.29755016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 299306 (base 13) in base 15?\nAnswer: 1522eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/92*-1*(9 - 5). Let w = 10.91 + 0.09. Let h = w + -6. Which is the smallest value? (a) d (b) -2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10714.91803 to the nearest 10.\nAnswer: -10710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 15*s + 3. Let m be n(16). Let u be 1*((-68)\/22 - (-16 - m)). Which is the second smallest value? (a) 3 (b) -11.2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-48)\/18)\/(4\/(-6)). Suppose -3*i + 113 = -y*q, 0*q - 4*q = 5*i - 135. Calculate the greatest common divisor of i and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + 0 - (241 + -215).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w**2 - 68*w**2 + 3*w**2 + 7*w**2 - 22*w + 48*w**2.\nAnswer: -2*w**2 - 22*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 24*c**2 + 4300*c - 2416. Determine r(-55).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 8, -19, -88, -217, -424?\nAnswer: -727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 4*t - 16, -5*i = 5*t - 115. Let f = i + -13. Let u be ((-9)\/f)\/(2\/(-4)). Solve 0 = q - u + 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t + 29*t + 211 = -101 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1343 or -13?\nAnswer: -1343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 5*m**2 + 5*m - 1. Let s be j(4). Let n(z) = -7*z - 5 + 6 + s*z. Suppose 3*h - 8*h + 10 = 0. Determine n(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 594 by -99.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 6. Let j(w) = w**3 - 4*w**2 - 42*w + 84. Let k be j(8). Suppose -4*d + d = 2*v + k, g*v + 4*d = -8. Solve -4*b - 3*c = v, 3*b - c = 3 + 7 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -58 + 52. Let p = -21.46605056 - -27.4660518. Let n = o + p. Round n to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/2 - 9\/2.\nAnswer: (z - 3)*(z + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -13. Which is the smallest value? (a) -2 (b) v (c) 2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29496 is divided by 301?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, 0.3, 30 in descending order.\nAnswer: 30, 4\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0 + 0 = 0. Let v = -23 + 27. What is the nearest to p in -0.3, 32, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/5 (b) -0.3 (c) 1.7 (d) -0.0642 (e) 3 (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13, -29, -47, -67, -89?\n\"Answer: -f**2 - 13*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(65) + -3*sqrt(65)*2))\/(sqrt(45)\/(sqrt(36)\/sqrt(4)) + sqrt(15)\/(sqrt(3) + sqrt(6)\/sqrt(2))) + 4.\nAnswer: 4 + 20*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 10) to base 7\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 + -5 - (10 - (-13 + 20))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, -0.04, 5, 2\/5.\nAnswer: -0.04, 0.08, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50744 by -12686.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-seven halves of a micrometer?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4874 - -11430. Is 79 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 720 = 14*o - 8*o. Let u be (-1*12)\/3 - o\/(-28). Sort u, -1, -2\/3, 0.4 in descending order.\nAnswer: 0.4, u, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 42, 150, 322, 558?\n\"Answer: 32*u**2 + 12*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, 5, -0.2, -0.1 in ascending order.\nAnswer: -0.2, -2\/15, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2348817717 and -88.\nAnswer: -2348817805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 3*v**2 + 4*v - 20. Let c be z(4). Let a be 35\/c*2\/(-14). Is 92 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 720 and 1440.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -3) + (-4)\/(-38). Let k(j) = j**2 - 13*j - 5. Let v be k(15). Suppose 4*b + 11 = 3*x, -4 = -4*b + 5*x - v. Which is smaller: o or b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266742283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34085 - 9790 = -3*v. Let n be ((-225)\/150)\/(5\/(-2)) + (-876779)\/(-60). Let q = n - v. Find the common denominator of -101\/18 and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (581\/166)\/((-34)\/204).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 109 and 4469.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x = 14 + 12 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2378284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112523 is divided by 14062?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, 2, -48798, 11, 1 in decreasing order.\nAnswer: 11, 2, 1, -40, -48798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 x when two letters picked without replacement from {x: 2, i: 2, b: 1, s: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -6*x - 19. Let b(l) = -29*l - 94. Let h(u) = -2*b(u) + 11*y(u). What is the remainder when h(-9) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a meter in millimeters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 25*c**2 - 8 - 23*c**2 + 7 + 2*c**3. Calculate the remainder when m(2) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*q + 102, -2*n = -4*q - 14 - 54. Is 34 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -16522?\nAnswer: 16520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6029794*w**3 - 5950184*w**2 wrt w.\nAnswer: 36178764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**4\/3 + 300095*l**3 + 90054608137*l**2 + 27021335098828879*l\/3 - 216222556393541816 = 0. Calculate l.\nAnswer: -300103, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3166 and 3555418.\nAnswer: 3555418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/4)\/d)**(2\/39)*(d\/(d\/(d\/(d\/(d\/d**(-1))*d))))**(-22))**(-35) assuming d is positive.\nAnswer: d**(60235\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - r = 27, 333 = -5*l - 4*r + 325. Solve 129*x - 131*x - j - 7 = 0, -5*x + 2 = -l*j for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 2\/5, -1\/3, 2\/653?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.2, 3\/11, -2\/17?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*j - 44*j + 395 = -5*h, 3*h = -j - 241. Which is the closest to h? (a) 2\/17 (b) 0.5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234 is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -0*p, m = -p - 0*p + 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*x - x - 4*d, -4*x - 2*d = -38. Suppose x*c - 260 = -6*c. What is the third derivative of 63*m**2 - 12*m**5 - c*m**5 - 54*m**2 wrt m?\nAnswer: -1920*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/(-3) + (-442)\/(-663))*-3 - 7?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2183*r. Let d(i) be the first derivative of -i**2 - 1125. Determine d(l(c)).\nAnswer: 4366*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -875*b**3*q - 1570*b**3 + 68340*b - 128222*q with respect to q.\nAnswer: -875*b**3 - 128222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/72449290 and 3\/4190?\nAnswer: 72449290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) 0.07 (c) -2\/7 (d) 23365 (e) 13.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16376 - 2058.85.\nAnswer: 14317.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 0 + 7\/6*m**3 + 0*m + 5*m**2 + 7\/24*m**4. Differentiate g(x) with respect to x.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p. Let o(q) be the second derivative of 11*q**3\/6 + 5*q. Determine o(g(c)).\nAnswer: -11*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2955, 2762, 2427, 1938, 1283, 450, -573, -1798?\n\"Answer: -2*q**3 - 59*q**2 - 2*q + 3018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6995.877 seconds?\nAnswer: 6995877000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15541940329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/5 (b) -2\/3 (c) -22 (d) 113\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 731082 and 25080.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22265\/714, 4, 0.4 in descending order.\nAnswer: 22265\/714, 4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ururrr. What is prob of picking 3 r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36479197, -36479184, -36479155, -36479104, -36479025?\nAnswer: -36478912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 273*x - 1113. Let c be v(4). Let z(d) = -5*d + 3. Let f(a) = 2 + 0*a - 6*a + 2. Calculate c*z(p) + 4*f(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/114896 and 151\/12.\nAnswer: 344688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.38 + 0.411. Let u = -2.969 - d. What is the nearest to -0.08 in -0.5, u, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - 2. Let a = j - -12. Calculate the smallest common multiple of (-32)\/(-5) - (-16)\/(-40) and a.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + -12 + (8 - 0) + (-4 - (8 + -17)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-1\/8)\/z))\/z)**(14\/11)*(z*z**(2\/35)*z)\/((z*z\/z**12)\/z) assuming z is positive.\nAnswer: z**(22313\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cxxx when four letters picked without replacement from {p: 9, u: 4, c: 4, x: 3}.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 6*g**2 + 4*g - 46. Let r be j(-6). What is the nearest to r in 0, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*m + 39*m + 9982 - 165683 = 0. What is the greatest common divisor of 413 and m?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of 0*w**2 - 2*w + 31\/6*w**3 - 13. Let z(b) = 3*b + 2. Let o(u) = -4*u - 3. Let d(f) = -2*o(f) - 3*z(f). Give d(a(v)).\nAnswer: -31*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/12*(-30)\/2. Sort -3, -4, y in increasing order.\nAnswer: -4, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 798115 to the power of 1\/2, to the nearest integer?\nAnswer: 893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**2 - 59*m + 403. Let d be w(20). Solve -d = -3*n - 7*x + 2*x, -2*x = -8 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14442202 to the power of 1\/2, to the nearest integer?\nAnswer: 3800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05 + 3.67767.\nAnswer: 3.62767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15.017 - -15.217. Let m be (-5713)\/(-22) + (-2)\/(-4). Let p = m - 260. Sort 0, 1\/6, v, p in increasing order.\nAnswer: 0, 1\/6, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - -4 - (1 + -1). Suppose 2*t + 252 = j*t. Calculate the highest common factor of 9 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*x + 1 - 108*x - 186*x + 0.\nAnswer: -218*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14554261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -33 + (-63 - -27) + (33 - 15)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -561 less than 0.3?\nAnswer: 561.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 16*n - 1. Calculate the remainder when 122 is divided by o(2).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -5*x + 68, 3*x - h + 41 = 81 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4a35 - -5?\nAnswer: -4a30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/18)\/(1\/3). Let g = -4 - p. Let d be 2\/((-8)\/5 - g). Sort 2, 1, d in descending order.\nAnswer: d, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tuzzjpz. What is prob of picking 1 p and 1 u?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-6))\/(27\/(-36))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1354, 1360, 1368, 1378?\n\"Answer: p**2 + 3*p + 1350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 448 (b) 0.2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-98 + 55 - 47) + 85.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 445098.1 years?\nAnswer: 445.0981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 939*(2 - (6 + -1)). Let f = i - -8108\/3. Let w = f - -113. What is the closest to -2\/7 in -2\/9, w, -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7457, -7461, -7465, -7469, -7473?\n\"Answer: -4*t - 7453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 133101 + -1?\nAnswer: 133100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -14\/5, -2\/5, -0.038, -2?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1100\/(-100) - (21 - -5 - -1)) + 0 + -2.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -4*m. Let c(b) = 7341454*b**2. Give y(c(r)).\nAnswer: -29365816*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15)\/(-2)*(-36)\/(-54). Let b be (p - 10) + (-32)\/(-6). Factor -2\/3*l - b*l**4 + 2\/3*l**3 + 1\/3 + 0*l**2.\nAnswer: -(l - 1)**3*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 10:20 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of p**9\/7560 + p**5\/120 + p**4\/3 + p. Let g(q) be the third derivative of z(q). Differentiate g(m) with respect to m.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001 - -1101?\nAnswer: 2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((5\/60)\/(7\/21))\/(2\/4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235*b**3 - 86*b**2 + 86*b**2.\nAnswer: -235*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ugyuyrrgggy. Give prob of sequence ggy.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 25 - ((4 - -20) + -24)) + 3.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 11) to base 9\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -226*l - l**2 + 488*l + 358*l in the form r + c*l + y*l**2 and give c.\nAnswer: 620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w + 4. Let k be (-40)\/28*-6 - 8\/14. What is z(k)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t - 5. Let y be x(-5). Suppose -y - 7 = -4*q. Suppose d - 10 + q = 5*j, -2*d + 3 = j. Solve -d*n = c - 4, -3 = -2*c - 2*n + 1 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 18, 270, 952, 2280, 4470, 7738?\n\"Answer: 36*d**3 - d**2 + 3*d - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 474863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-22)*(-2*1)\/(-8)*(-176116)\/88058?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/562 and 1\/12.\nAnswer: 3372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -7*h**2 + 1875*h - 1605. Calculate m(267).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (z**2 - 1 + 1)*(35*z**2 - 123 + 123) in the form w + u*z**4 + s*z**2 + l*z + x*z**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -10391.185 to the nearest one hundred.\nAnswer: -10400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3058963 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-5))\/(79\/(-1185))*10\/12.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-1) + (-26)\/(-8) - 0?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -8. Let q = k - -2.3. Let p = 1.2 - q. What is the closest to p in -1\/8, 3\/2, 1\/3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -264 - -274. Solve -3*u = j*l - 11*l, 3*u - 6 = 3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150\/(5 + -15) - -17?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 + 11. Let m = a + 13. Sort m, 4, -4 in descending order.\nAnswer: m, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11.1 + 15.1. Let c = -1.2 + 0.9. Let z = c - -0.4. What is the nearest to 1 in z, n, -0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5141, -10271, -15391, -20501?\n\"Answer: 5*n**2 - 5145*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 44467, 66339, 88211?\n\"Answer: 21872*l + 22595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -7\/135?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -0.41 in increasing order.\nAnswer: -2, -0.41, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/6)\/(119\/51). Let j = -5 + 1. Which is the third biggest value? (a) j (b) 0.1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60339*z = 60203*z + 12666 - 3418 for z.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = a + 40. Solve -3*y = -2*f - 0*f + 5, 5*y - 5*f = -a for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 1 + u**2 + 4*u**2 - u**3 - 2*u + 0*u. Let a be n(2). Let h = a + -5. Solve 0 - 12 = -h*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -354*z - 4*f + 54828 = -351*z, -3*z + f = -54813. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2450 divided by 175?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 10 = -2*v. Let j be (v\/(-5))\/(1\/(-3)). Which is greater: -3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -a**3\/6 + 9*a**2\/2 + 13*a. Let s be d(6). Let l(q) = 10*q**2 - q + 2. What is the units digit of l(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 9 = 4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 54.065468 and -0.8.\nAnswer: 53.265468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g - 4*q + 13, -g - 1069 = -4*q - 1058 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/6*24\/(-64).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 5*m + 3. Let o(i) = -4*i - 4. What is -2*o(q) - 3*s(q)?\nAnswer: -7*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**3 - 66639763*v**2 + 66639763*v**2 - 2*v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5 + 2 + -2 + sqrt(75) + -1*((0 + sqrt(75) - sqrt(75)) + sqrt(75)) + -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-54)*58 + (-2)\/9. Suppose r*n - 32 = -f - n, n = 4*f - 162. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b + 5*b - b)*(59202 - 84771 + 68314) as a + j*b and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r + 7. Let x be u(11). Let b(n) = -2*n - 4. Suppose 3*t - 20 = -8. Let q(m) = 2*m + 4. Let i(p) = t*q(p) + 5*b(p). Determine i(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27340459*o + 27340455*o - 7 = -h, 10*h = -10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = -i - 83. Let p = 424 + i. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -1. Let z(m) = -7*m + 1. Let h(n) = 20*n - 5. Let l(r) = h(r) + 3*z(r). Give l(j) - 6*v(j).\nAnswer: -j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0017942408 rounded to seven dps?\nAnswer: 0.0017942","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -13. Suppose -4*p + 11 + 1 = 0. Let z(l) = -l**2 - 5*l + 1. Let v be z(-6). Put c, v, p in ascending order.\nAnswer: v, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*q - 4*q = 688, -5*q = -20. What is the common denominator of 3\/(-6) + (-200)\/f and -133\/24?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-100)\/(-40) + 38\/(-16). Let n = 0 + 0.3. Which is the smallest value? (a) q (b) 1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 8:46 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*a = -34*a + 10*a + 1584 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -239*b + 4. Let k(x) = 471*x - 9. Give 14*f(r) + 6*k(r).\nAnswer: -520*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + g - 1. Let s = -80 - -84. Let z(v) = 4*v**2 + 4*v - 4. Give s*t(f) - z(f).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 104965 by 5.\nAnswer: 20993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w + 2*w - 3*w - w - w + 4*w + (2 - 2 + 2*w)*(-1 + 2 + 0) + 5*w - w - 2*w - 2*w + w + 2*w + 30*w + 0 - 2 - 1.\nAnswer: 36*w - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17\/28 - -3\/28. Let k = -3056 + 3053. Let f be 2\/(-5) + (-8)\/(-70). What is the closest to 2\/7 in v, k, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/7*(-32)\/256?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -233, -235, -237, -239, -241?\nAnswer: -243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61 + -46. Let u(g) = 32*g + 40. Let a be u(t). Suppose -5*c + 1360 = a. What are the prime factors of c?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -0.14, 0.1, 0, -1 in ascending order.\nAnswer: -1, -0.14, 0, 0.1, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -21*k**2. Let i(t) = -257*t**2 + 60. Let z(f) = -6426*f**2 + 1512. Let y(b) = 126*i(b) - 5*z(b). What is y(n(h))?\nAnswer: -111132*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2. Let i(c) = 74615*c**2. Determine i(w(o)).\nAnswer: 74615*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) 4 (b) 2 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 15 = d, -5*d - 5*s - 26 = 24 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bqyjkjjkqkjsyb. Give prob of sequence sbqk.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -84.99 * 0.3\nAnswer: -25.497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6191406 is divided by 3095561?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 5, -1, 1, -5, 40143 in descending order.\nAnswer: 40143, 5, 1, -1, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(22034*o + 18792*o - 20856 + 20856).\nAnswer: -40826*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 12. Let v(f) = -z + 1 + 3*f + 2. Let i(h) = 3*h**2. Give v(i(y)).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -1\/8, -0.1, 56, 0.005, 2, 5, 1\/2?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -143.1831 - 740211.42.\nAnswer: -740354.6031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231*f = -249*f + 54. Solve 4*k + 20 = 0, -5*o + f*k - 1 = -16 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -w - 2*w**2 + 2*w**4 + 9*w**3 + 4 - 9*w**3 in the form y + h*w + f*w**3 + n*w**4 + k*w**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1054465?\nAnswer: 5, 31, 6803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 7*j + 3*j - 13*j)*(-10*j - 8*j + 5*j).\nAnswer: 39*j**2 - 52*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4*y**2 + 0)*(y - 3*y + 3*y) - 28*y**3 + 16*y**3 + 15*y**3 as a*y + t*y**3 + w + u*y**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 2, 3\/7, 0.36, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 1 - 1)*(-486*t + 972*t - 487*t + 229) to the form q*t + c and give c.\nAnswer: -1832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -767.\nAnswer: -230.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 11*c**2 + 12*c + 15. Let d = -75 + 65. Let m be u(d). Sort -3, 0, m.\nAnswer: m, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38077 + 78431. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r - 40 = 0, -6*k + 10*k + 13 = 5*r for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6 less than 166117?\nAnswer: 166114.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1387044 to the power of 1\/3, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 smaller than -50\/571?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.25265166 to 1 dp.\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 11) in base 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -38. Let a be (3 - 2)*(-4)\/(-1). Suppose r - v = -a*r. Solve -r*l = -l + 3*k - 10, 2*l - 3*k = 25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1579*y - 1578*y - 13 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 91, 37\/3, 2\/277 in increasing order.\nAnswer: 2\/277, 0.2, 37\/3, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 2 + 1 - 6 + 3 + (-3 - 3 + 4)*(-1 + 0 + 2) + 0 + 4 - 3 - 1 - 2 + 4)*(g + 4*g - 3*g)*(5 - 1 + 0) to the form j + l*g and give l.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s**2 + 53 - 104 + 43)*(0 - 2 + 4) in the form q*s + c*s**2 + x and give x.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -189, -184, -175, -162, -145?\n\"Answer: 2*j**2 - j - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*n - 13, 3*y - 524*n = -528*n + 11. Solve y*v - 11*v = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35.3 - 30. Let f = c - 5. Let m(i) = -6*i + 42. Let q be m(6). Put f, 2\/11, q in descending order.\nAnswer: q, f, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**2 + 3*c**2 + 2*c**2.\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/80 and 67\/40?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*n*u**3 - 2*n*u + 96*n + 6*u**4 - 1227*u**3 + 318*u - 181 wrt u.\nAnswer: -18*n*u + 72*u**2 - 7362*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -46, -126, -234, -370, -534?\n\"Answer: -14*x**2 - 38*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8913 - -8944 - (0 + -26).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(448)*-1)**2 + (-2 + -3*sqrt(700))**2)*1.\nAnswer: 120*sqrt(7) + 6753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 v when two letters picked without replacement from {e: 1, t: 1, v: 2, z: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g. Determine c(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2596 and 7040?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3133231638.\nAnswer: 2, 3, 19861, 26293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002273571045 rounded to 6 dps?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4*d + 5 + 19 = 0, 2*i - 3*d + 9 = 0. Let z be i\/(-15) - (-2)\/5. Let a(g) = 14*g**3 - 3*g + 3. What are the prime factors of a(z)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8\/257 or 349?\nAnswer: 349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -58059 divided by -2\nAnswer: 58059\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/2*((-5)\/(-15))\/((-22)\/(-110))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 - 4)*(-4*d + 0*d + d)*(d - 2*d**2 - d).\nAnswer: -36*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 24.8893\nAnswer: -4.97786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 5*p**2 + 5*p + 1. Let i(l) = -3*l + l**3 + 3*l - 3*l**2 + 0 + 3*l + 1. Let u be (-93)\/33 - 2\/11. Determine u*n(r) + 5*i(r).\nAnswer: 2*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2281, -2280, -2279, -2278, -2277?\n\"Answer: q - 2282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -157308 divided by 52436.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 290 + -290. Solve b = -3*v - 2*v + 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 - (-4)\/(-20))\/((-2)\/(-45))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 110 - 12 = -3*j, -3*m = -j - 46. Let s = j - -33. Does 17 divide s*42 - (-7 - -6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -644? (a) 1 (b) -0.2 (c) 0.1595 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c. Let n(y) = 18238*y**3 + 4*y - 2. Give -2*m(s) - n(s).\nAnswer: -18238*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-69)\/46 - 2\/(-4). Does -1\/197 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -103.054 + 11.095. Let h = y - -92. Round h to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**(1\/3))\/(z**(-9)\/z*z)*(((z\/(z**(-1\/20)\/z*z))\/z*z)\/z)\/z*z**(2\/9) assuming z is positive.\nAnswer: z**(1789\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/651 and 32\/3093.\nAnswer: 671181","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.51733091 rounded to 3 decimal places?\nAnswer: -15.517","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(52)\/sqrt(4) + 1 + sqrt(13))**2 + (1*sqrt(13)*-6 - sqrt(13)) + -5 - 5*(0 + -5 + 2*sqrt(1300) + sqrt(1300)).\nAnswer: -153*sqrt(13) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(468) + 1) + sqrt(468) - (sqrt(468) - sqrt(468)*1)**2*-1.\nAnswer: -18*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (-4410)\/(-5 - -14). Let y = -22 + b. List the prime factors of y.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, j: 2, k: 4}. What is prob of picking 1 k and 1 j?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 969868.2 centuries?\nAnswer: 96986.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 8*f**2 + 5*f. Let o be j(5). Let b be 12\/54 + o\/(-18). Solve 2*t + 0*t - 25 = -5*s, b*s = -t + 14 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 506856692*h**2*w**2 - 6*h*w**2 + 16*h*w + 33*w + 9579 wrt h.\nAnswer: 1013713384*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(-3*sqrt(700)))**2 + -2.\nAnswer: -1789\/900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -708 + 711. Calculate the remainder when 13 is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 8.087219 centimeters?\nAnswer: 0.00008087219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -1493*c. Let n(l) = 233939*l**2. Give v(n(p)).\nAnswer: -349270927*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**4\/3 - 50*c**3\/3 + 458*c**2\/3 - 610*c + 900 = 0. Calculate c.\nAnswer: 5, 6, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10*(-2 + (-11)\/(-2)). Suppose c - 11 = -4*s. Is ((-14)\/s)\/(1\/15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 715?\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 5:06 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -66220 divided by 7\nAnswer: -9460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((27\/18)\/(1170\/(-156)))\/((-3)\/(-555)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 20*c**2 - 36*c + 2. Let a be j(2). Suppose 13*y + a - 36 = 0. Solve -5*v + 4*v + d = -y, 5*v + 3*d = 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232 = 5*g - 72. Let z be (-24)\/(-4)*g\/(-6). What is the third derivative of 30*h**2 - z*h**2 + 0*h + 5*h**5 + 0*h wrt h?\nAnswer: 300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at least as big as -226?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 935452?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 765\/12 - 9\/12. Suppose 2*z + 15 = g. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**3 + 157*h**2 - 77*h - 70. Let f be v(78). Solve 0 = -x - 4*m - 16, -9*x + f*x = -3*m - 12 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 13*d**2 - 3*d - 4. Let o be w(-2). Suppose o*j + 8 = 53*j. Let x be (-2)\/(-7) - (-4)\/(-14). Sort x, j, -2 in ascending order.\nAnswer: j, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + (7 - (41 + 7) - 2)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three thirds of a century in months?\nAnswer: 17200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 16*i - 29. Is t(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4*t = -4*s + 13, 4*s + 3*t - 14 = 0. Let g(l) = -2*l - 2*l + 1 + 5*l. Calculate g(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -62, -73, -96, -137, -202, -297, -428, -601?\n\"Answer: -r**3 - 4*r - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-630)\/(-54) + -10)*9\/5. Let d be ((-5)\/(-2))\/(8\/16). Suppose -2*o + 17 = -4*i + 1, -4*o = i - d. Solve 0 = y - o*y + s for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + 2)*5 + -2*sqrt(32)*6 + 1.\nAnswer: 7*sqrt(2) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 160109 or 160112?\nAnswer: 160109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*n + 7*n - 6*n + (4 - 3 + 0)*(-3*n + n + 3*n) + 1 + 3*n - 1 - 2 + 2 + 2*n - n - 4*n + 3*n to the form c*n + x and give c.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -1\/36, 1\/6, 841?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + -2.89.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 47225 or 15802?\nAnswer: 47225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 27\/(-4) + ((-10)\/8 - -1). Let d = y - -18. Does 10 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*a - 2*y + 6 = 0, -y = 2*a - 8. Suppose 0 = -a*f + 12 - 32, 0 = -5*d + 4*f + 36. What is the least common multiple of 6 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011112 (base 3) in base 7?\nAnswer: 11600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1106388 + 0?\nAnswer: 1106388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 68 divided by 17\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = -3*t + 378. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704696995 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**3)**17)**(-45)\/(o**(-1\/2)\/(o*o**(-14)*o*o))**(-20\/3) assuming o is positive.\nAnswer: o**(-2990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33545013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 961.92um?\nAnswer: 0.96192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 3)*(-53*c + 10*c - 7*c + 1)*(-1 + 3 + 0) in the form v*c + w and give v.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 4*i = 2*s + 166, 3*i = s + 73. Let w = 83 + s. Solve 3*p = 3, -w*b - 2*p - 13 = p for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9148861 less than 462?\nAnswer: 461.0851139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(2\/7)\/w)\/w)**(-9\/5))**(-3) assuming w is positive.\nAnswer: w**(-324\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 162209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1008026 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s - 12*s + 7*s - 587*s**2 + s.\nAnswer: -587*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of k**8\/16800 - k**7\/3150 + k**6\/1800 + k**4\/6 - 3*k**2. Let v(t) be the second derivative of g(t). Factor v(w).\nAnswer: 2*w*(w - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 964?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21305 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 328243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.09 - -0.09. Suppose 0*s + 3*s = -3*o + 9, -3 = -3*o - s. Suppose -2*y + 0*y + 10 = o. What is the smallest value in y, b, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20142, 20150, 20158, 20166?\nAnswer: 20174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3\/1864 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(15)\/sqrt(5)) + (sqrt(99)*6)**2.\nAnswer: sqrt(11) + 3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/5 + 14\/4 - 3?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -996740 by 5.\nAnswer: -199348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(1\/16))\/a**(2\/13) assuming a is positive.\nAnswer: a**(397\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 + 93 = 16*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - k**2 - 14 + 9 to the form q + y*k**2 + i*k and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, m: 4, r: 1, z: 1, x: 2}. What is prob of sequence mem?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/7)*z)\/z)**(-42)\/((z*z**(1\/9)*z)\/(((z\/(z**(1\/4)\/z))\/z)\/z))*((z*z*z\/(z*z**(2\/3)))\/z)**(-10\/21)*((z\/z**(-1)*z)\/z)**(-45) assuming z is positive.\nAnswer: z**(-20291\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2 + 4*u + 2. Let g be l(-2). Suppose g*k - 3*k + 8 = f, f - 20 = -4*k. Let o(d) = 68*d - 25*d - 22*d + 2 - 20*d + 0*d**2 + d**2. Calculate o(f).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 3*l - 84. What is the highest common factor of 12 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -270, -1870, -5974, -13764, -26422, -45130, -71070, -105424?\nAnswer: -149374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 3*d**2 - d + 3 + d**2 + 6 - 2*d**2. Suppose 3*m + 8 = 5*m. Let y be r(m). Solve 2*p = y*u - 12, 4*u - 8 = 3*p - p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - -34. Let c = 50.4 - v. Let g = c + -8.4. What is the second biggest value in g, 2\/3, 1\/5, 0.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j + 5*u - 25, 13*j - 10*j + u + 9 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 8*x**2 - x - 10. Calculate u(3).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -1772\/7*w**3 + 80*w**4 + 16\/7*w**5 - 908\/7*w + 1952\/7*w**2 + 152\/7 = 0. What is w?\nAnswer: -38, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 149 + 61 = -12*a, 2*a - 5*g + 4*g = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(304) + -3 - (sqrt(304) + 3)*5)**2.\nAnswer: 576*sqrt(19) + 5188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v - 2. Let h be x(2). Suppose -2*d + 23 = -5*j - 17, -5*j = 5*d + 5. Let b = j - -3. What is the nearest to -3 in b, 5, h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 52530*c + 2113. Is x(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11\/14, -0.37, 2\/7, 14, -7, 9 in decreasing order.\nAnswer: 14, 9, 2\/7, -0.37, -11\/14, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = x - 4*x. Let w = x - 1. Suppose w = -5*p - 12. Let u(s) = 4*s + 3. Let m(o) = 3*o + 2. What is p*m(z) + 2*u(z)?\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.75 rounded to zero decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7259 divided by 427.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(4\/7)*i*i**3\/i*(i*i\/(i**4*i))\/i**6 assuming i is positive.\nAnswer: i**(-38\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + 0.59\nAnswer: 0.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1 = 2. Let z = -10 + 9. Let g = 0 - z. Put s, g, 2 in descending order.\nAnswer: 2, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 8*f**2. Let v(x) be the first derivative of 4*x**3\/3 - 9. Calculate -7*v(r) + 4*w(r).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3044936 (base 12) in base 10?\nAnswer: -9049146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-12)*-1*8\/(-6)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -968 - -968. Sort 4, i, -3\/20 in ascending order.\nAnswer: -3\/20, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/32 of a millisecond?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sjss when four letters picked without replacement from {s: 1, u: 4, j: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*j + 1164 + 815 = -335 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 - -19. Suppose 3*f - 17 = a. Does 19 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 533*c + 523*c - 1512 = 972*c for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1747?\nAnswer: 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206 = 4*m - 74. Suppose -105 = -7*c + m. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**4\/z))\/z)**(-17\/2) assuming z is positive.\nAnswer: z**(51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1549167.417 milliseconds to weeks.\nAnswer: 0.0025614540625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -445 (base 12) to base 10.\nAnswer: -629","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*m**3 - 44*m**3 - 11*m**3.\nAnswer: -32*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17\/6 + 3. Suppose 36 - 115 = -4*y - h, 94 = 4*y - 2*h. Let g be (-4)\/6*y\/(-35). Sort g, -3, r.\nAnswer: -3, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + -9556047?\nAnswer: -9556046.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f. Let j(k) be the first derivative of k**4\/8 - 9*k**2\/2 + 3. Let t(x) be the second derivative of j(x). Give y(t(w)).\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 5:27 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tkv when three letters picked without replacement from jktvkjjjtjtjjjv?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + g + 20 = 0, 5*g + 40 = 5*b - 0*g. Let p = -268 - 53. Let n be p\/(-24) - b\/16. What is the highest common divisor of 91 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/4*22)\/1. Let k(z) be the third derivative of 7*z**4\/8 - 8*z**3\/3 - 386*z**2. Let q(p) = 4*p - 3. Let r = 2 - 0. Determine r*k(b) + u*q(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**5 - f**5 + 3*f**5)*((-3 - 4 + 5)*(1 - 2 + 3) - 4 + 3 + 3)*(-2 - 1 + 2).\nAnswer: 4*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 1. Let s be b(1). Let t(w) = -3*w - 6. Let g be 3\/(-6) - 7\/2. Let c be t(g). Solve -5*i + 7*i + c = s for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12864 and 86328.\nAnswer: 46271808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 2088 and 2089 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 312275\/159 - 1964. Which is greater: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - l**2 - 1)*(0 + 2 + 1)*(6 - 1 + 1) + (1 + 3 - 6)*(2*l**2 - 6*l**2 + 0*l**2) to the form f*l + b + u*l**2 and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 3*w - 17 = -5, 0 = -4*w - 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0*n)\/n*n*n\/n**9)\/((n*n*n**4)\/n**(1\/9)) assuming n is positive.\nAnswer: n**(-116\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/180 and 13\/8559.\nAnswer: 171180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -5*l**2 + 20. Let m(z) = -z**3 + 5*z**2 - z + 5. Let k be m(3). Let f(p) = -1. Calculate k*f(g) + i(g).\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/424 and 117\/28.\nAnswer: 2968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, 4\/9, -2, 18?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-363 - 9018*p + 18035*p - 9018*p)*(0*p + 2*p**3 + 0*p).\nAnswer: -2*p**4 - 726*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4355 divided by 11?\nAnswer: 4355\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19798 and 418.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9233.\nAnswer: 7, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01375 to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4 + 1 + -1 + (-1 + sqrt(1575))*-2)**2*3.\nAnswer: -1260*sqrt(7) + 19047","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66645.19mm to meters.\nAnswer: 66.64519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 95562128*v**5 + 174*v**2 - 148*v + 7?\nAnswer: 5733727680*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -55, -94, -159, -256, -391?\nAnswer: -570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2, q - 5*j - 4 = -0. Let f(t) = t + 6. Give f(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - 1. Let q = 5 + x. Calculate the greatest common factor of q and 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 300324?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**3 - 2*q**2 + 3*q + 4. Calculate d(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9793 - 9782.19. Which is the third smallest value? (a) -1 (b) -3 (c) s (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31\/2 + -17. Let z be (3\/(-12))\/((-36)\/(-48)). Sort 3, z, x in increasing order.\nAnswer: x, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 94*y**3 - 161*y**2 + 161*y**2 + (-4*y**2 + 0*y**2 + 2*y**2)*(-3*y - y + 2*y) as z + f*y**3 + m*y + v*y**2 and give f.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -121531 (base 6) to base 5\nAnswer: -321113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 14.9. What is j rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-7))\/j*j*j*j*j**(-7)*((((j\/(j\/(j\/(j*j\/((j\/j**(-2\/3))\/j)))))\/j)\/j)\/j*j)**24)\/(j\/(j\/j**1*j)*j\/j**(-8))**22 assuming j is positive.\nAnswer: j**(-265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*d - 188 + 5*d**2 + 2*d + 208.\nAnswer: 5*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8089, -8095, -8103, -8113, -8125?\n\"Answer: -c**2 - 3*c - 8085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/((3 + 0)\/3). Suppose w*q - 25 = 5*q. Suppose q*v = v + 76. What is the remainder when v is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -79 divided by 146\nAnswer: -79\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14152769?\nAnswer: 227, 62347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200212 - -2210202?\nAnswer: 2002220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 16*w + 22 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 634678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -1041\/31 (b) -15 (c) -0.3 (d) 5 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.8 (b) -0.334 (c) 5 (d) 4 (e) -30 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5782382 and 426.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24801137 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -41*r - 12. Let j(i) = -206*i - 74. Determine 2*j(g) - 11*s(g).\nAnswer: 39*g - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 - 6*m - 7. Let r be b(6). Let l = -198 + r. Let j = l - -274. What are the prime factors of j?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87 + 87 - 9816*y.\nAnswer: -9816*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away -0.15611300247277?\nAnswer: -0.24388699752723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2310321 (base 5) to base 13.\nAnswer: 15a79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2*j - 20 = 0, 2*f + j = 6*j + 20. Suppose 5*o + 3*w - 19 = 0, -4 = o + 3*w - 3. What is the highest common factor of o and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 567187376*q**3 - 239390159*q**2.\nAnswer: 3403124256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 3*w**2 - w. Let r be b(-4). Let c = r + -5. Let q be ((-27)\/45)\/((-58)\/(-10) - 6). Solve -2*t + c = q*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d**2 + 2*d - 5. Let h(s) = s**2 + s - 3. Determine 2*c(j) - 5*h(j).\nAnswer: 3*j**2 - j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 344, 4, 0.5, 0, -2\/3 in increasing order.\nAnswer: -2\/3, 0, 0.5, 4, 7, 344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12b (base 12) in base 10?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -34976*m**2 - 2*m. Let x(g) = 3*g**2. Determine c(x(h)).\nAnswer: -314784*h**4 - 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 49 + 131. Suppose -4*t - t = o - 212, -x = -2*t - 3*o. Suppose -t = -i - 11. Round i to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 0.28, 0 in ascending order.\nAnswer: -1\/3, 0, 0.28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 609675.\nAnswer: 8\/609675","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-42)\/(-4))\/(((-114)\/12)\/19). Suppose 0*t + 78 = -3*t. Let p = u - t. Solve h - p*c + 13 = -0*h, -4*h = 5*c + 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 + 2 - 3 - 2 + 6 + (-1 + 0 + 3)*(3 - 2 - 3) - 6 + 3 + 1 - 6 + 2 + 2 + 1 - 2 + 2)*(3*t - 4*t + 3*t)*(-1 - 1 + 4) as a + i*t and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pq when two letters picked without replacement from qlllqqplllplqqll?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3110 (base 10) to base 13\nAnswer: -1553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -5. Let p = -3 - j. Let v = 0.04 + 0.06. What is the closest to v in 4, p, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**4\/6 + 145*k**3\/6 + 2243*k**2\/6 - 5521*k\/6 - 1270 = 0.\nAnswer: -127, -20, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5*r - 13. Let f(h) = 16*h. Let i(b) = 43*b - 27. Let m(l) = -2*f(l) + i(l). Suppose g = -3*g - 24. Let q(y) = g*m(y) + 13*k(y). Determine q(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 6725*s + 46679. Give w(-7).\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 189, 206, 213, 204, 173, 114?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j + 0*j - 5*j - 2*j - 1. Let v be k(2). Let n(w) = -w**2 - 13*w - 4. What is the tens digit of n(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -4. Let f(w) = w + 3. Let r be f(-3). Suppose -q + r = -b. Solve -2*l + b = -2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) 11\/6 (c) 5 (d) 0.1 (e) 25.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 10:13 AM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -183333114, -183333109, -183333102, -183333093, -183333082, -183333069?\n\"Answer: u**2 + 2*u - 183333117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -575 or 1\/16?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 4:49 AM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 121*s - 972. Calculate n(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2 - 55*s + 151*s**3 + 111*s - 53*s wrt s?\nAnswer: 906*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2307479 plus -5?\nAnswer: -5.2307479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = q - 0. Which is bigger: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16173 or -16127?\nAnswer: -16173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 7:16 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/39*(13 + (2 - 2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ckr when three letters picked without replacement from {b: 7, c: 4, x: 2, r: 1, k: 5, j: 1}?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29205 + -203681\/7. Let y = x - 108. What is the biggest value in -5, y, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15380?\nAnswer: 2, 5, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**3 - z**2 + 5*z - 1. Let u be o(1). Solve 5*a - 24 + 49 = u for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*p - 92*p + 24156 = 0. What is the remainder when 854 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -13*v + 19644. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 - 15. Let g = w - 6. Calculate the remainder when (6\/(-21))\/((-9)\/315) is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-104)\/(-14) + 6*5\/(-70). Let g(s) = 5*s**2 + 2*s - 36. Is g(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1724 is divided by 155?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 2*g**3\/3 + 51. Let s(u) = -11*u**2 + 17. Let j(a) = -4*a**2 + 6. Let d(q) = -17*j(q) + 6*s(q). Determine w(d(t)).\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 298229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10307654.856 rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 90329\/150788 + -2\/1639. What is the common denominator of q and 17\/18?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = k. Suppose 4*m = -k*m - 52. Let x be (-13)\/(-2) + m\/26. Solve x*w = -4*p + w + 22, 0 = -p + w + 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 619717619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(2299)*-1 + sqrt(19))**2 + (sqrt(19) - sqrt(38)\/sqrt(2))**2 + -1 + ((sqrt(76) + -1)*-4)**2.\nAnswer: -64*sqrt(19) + 3134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200012011 (base 4) to base 5.\nAnswer: 13201321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 h when two letters picked without replacement from {j: 16, h: 2}?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 604898?\nAnswer: 2, 7, 43207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 26232996 rounded to the nearest 1000000?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -9*y**2. Let p be h(3). Let m = -44 - p. What is the remainder when m is divided by (-3 + 24\/9)*3*-13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 9:27 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 14*r + 6. Let o be l(14). Solve o = 6*q - 3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 179767*c**2*w + 166*c**2 - 39566*c - 387*w wrt c?\nAnswer: 359534*w + 332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/1360 and 81\/1190?\nAnswer: 9520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 988, 3932, 8834, 15694, 24512, 35288, 48022?\nAnswer: 62714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 252 = 15*m. What is the greatest common divisor of m and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -19\/14455?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 5*c - 7 - 4 + 1 + 8.\nAnswer: 5*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*k**4*r - 116*k*r**2 + 46*k*r + 71*r**2 - 11*r wrt k.\nAnswer: -8*k**3*r - 116*r**2 + 46*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.707859 millilitres to litres.\nAnswer: 0.000707859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-11 - -21) + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9445410?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -40667*y + 1. Let p = 15 + -12. Let x be w(p). What is x rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*k + 10*k + 84 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 1\/3 (c) -0.1 (d) -0.09 (e) 196 (f) 0.0009\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 - 268 = -4*x. Let f be (-148)\/x + 2*1. Let b = -9\/8 + f. Are -2 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 7 = -2*l + 5, 0 = l - f - 4. Let v(y) = 3*y**2 - 23*y + 38. Let n be v(2). Let q be 0\/((2 - 1)*1). Put n, l, q in descending order.\nAnswer: n, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.6 less than -4262?\nAnswer: -4219.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 12*c**3 + 27*c**2 + 75*c - 173. Is p(14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 594862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + -0.3. Let p = -4 - -3. Let z = 6\/35 + 3\/7. Which is the closest to p? (a) z (b) 3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/7 of a week?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/29)\/(275\/(-500)*-20*(-6)\/33).\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b. Let a be (3 - -1)*(-5)\/10. Let g(d) = -6*d. Calculate a*g(z) + 11*q(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 952 and 11798?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 142606200 and 10200.\nAnswer: 142606200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000155085 to 7 dps.\nAnswer: -0.0000155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4520 and 20.\nAnswer: -90400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/3827 + 256433\/45924. What is the common denominator of ((-2)\/(-1))\/(18*(-16)\/328) and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**2 + 2*d + 31. Calculate l(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80833 - 234*n - 80833 + 718*n - 238*n - 245*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w - 3. Let c(v) = -v + 1. Let z be c(-1). Let h = -34 + 38. What is the least common multiple of h and m(z)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - z + 2 = 0, 2*m - 3*z = -4*z + 4. Let s(w) = -12*w**m - 4 + 4*w**3 + w**3 - 4*w**3 - 14*w - 1. Is s(14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2812 and 48146?\nAnswer: 3562804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 6*k + 1. Let u be v(6). Let z(f) = -f**2 + 6*f + 21. Let h be z(9). Sort 3, h, u.\nAnswer: h, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.3, 468\/11, 6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 549400 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 72 = 33. Let m be 44\/o + (-2)\/7. Is 1 > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -a + 16, -4 = -5*a - 2*f - 2*f. Suppose c - h + 5 = h, 2*h = -2*c - a. Let n(y) = y**3 + 4*y**2 + 3*y. Let g be n(c). Solve g = -i - 3 + 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 13992 = 3*c, -5*c = -2*t - 3*c + 13996. Calculate the highest common factor of t and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**3\/11 + 128*l**2\/11 + 536*l\/11 + 544\/11 = 0.\nAnswer: -2, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 67329 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/51 and -157\/143136?\nAnswer: 2433312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -11*o**3 + 9*o**2 - 4. Suppose 0*m - 48 = -4*m. Let d(q) = q**2 + 6 - 13 + 6. Let z(l) = m*d(l) - 3*u(l). Find the third derivative of z(c) wrt c.\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -3*m + 4, -14*m + 16*m = f + 7. Sort -4, -13, 4, 1, f.\nAnswer: -13, -4, f, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -353.5 or 2319?\nAnswer: -353.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3768214749 a multiple of 1860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -15. Let v = -25.835 - -27.835. What is the third smallest value in l, -1\/5, -2, v?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1879100 to the nearest 100000.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-8 - (8 + -16 + 3)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -20*j**5 + 24*j**4 - 36*j**3 + 20*j**2 - 4*j - 8. Let c(p) = -4*p**5 + p**2 - p - 2. Let g(a) = -4*c(a) + f(a). Find u such that g(u) = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -3)*5\/15.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + sqrt(80) - sqrt(5)).\nAnswer: -10 + 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + t + t)*(-799 - 771 + 1773).\nAnswer: -406*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/4*(-4)\/(-4). Suppose 3*b = 3*q + 27, -2*b - m*q - 1 = 11. What is the least common multiple of b and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jkl when three letters picked without replacement from komylkomyjoolkj.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-3\/2))**(-36)*((l*l**(-7\/4))\/l)\/(l\/(l**(9\/5)*l)))**(-45) assuming l is positive.\nAnswer: l**(-9729\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o - 8. Let c(g) = 1. What is -5*c(w) - u(w)?\nAnswer: 3*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 760600786?\nAnswer: 2, 11, 37, 934399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**4 + 2*r**2 - 2*r**2 + (35 - 26*r**3 - 35)*(2*r + 2*r - r) as x*r + o*r**4 + c*r**3 + l*r**2 + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 993 - 991. Solve 0 = q - 31*p + 28*p + 14, -25 = i*q - 5*p for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 14*p + 6. Let w(n) = -10*n - 4. Let z(f) = 3*w(f) + 2*x(f). Let d(a) = 39*a**2. What is z(d(l))?\nAnswer: -78*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -81, -78, -75, -72, -69, -66?\n\"Answer: 3*d - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/1 + (-4 - -5). Let o be 1249\/v + 3\/4. Let g = o + -186. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*i**3 + 11*i**3 + 12*i**3 + 5*i**3.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.56884 + 44.34324. Let h = o + -44. Let q = 0.23 + h. What is q rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a + 27 - 39 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, u: 5, x: 2}. Give prob of picking 4 k.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 44 = 398*r - 395*r, -2*c + c + 9*r - 4*r = 0 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(95))\/((sqrt(30)\/(2*sqrt(6) + sqrt(6) + sqrt(6) - sqrt(6)) - sqrt(5)) + sqrt(5)).\nAnswer: 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kp when two letters picked without replacement from ppykp.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mllenfl. What is prob of sequence em?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4221, -4254, -4309, -4386?\nAnswer: -4485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m - 5. Let x(p) = -p**3 + 27*p**2 - 51*p + 31. Let j be x(25). Let q(t) = 1. Give j*q(n) + g(n).\nAnswer: 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5cb - -aa0?\nAnswer: 139b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.023 + -0.023. Which is the nearest to -0.1? (a) -0.5 (b) 0.8 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2121 and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1\/j)**(-6\/7)*j**(-4\/5)*j\/j**(1\/3)*j**2\/j*j**(-8)\/j*j**6\/j*j\/(j*(j\/(j*j**8\/j*j*j))\/j) assuming j is positive.\nAnswer: j**(103\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1634512 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g + 6. Let q(n) = 1. Let r(f) = -f + 12. Let w(c) = 5*q(c) - r(c). Determine -4*t(h) - 3*w(h).\nAnswer: h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/2*(0 - -1). Suppose 2*d - z + 2 = j, 0 = -4*j - 4*d + 20. Sort j, 0, -2\/9 in ascending order.\nAnswer: -2\/9, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*g - 2*g + 3 - 4)*(-1 + 2 + 1) to the form v*g + c and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - 1 - -3 - 1. Find c, given that -2*c**2 - 52*c + 3*c**s + 2 + 55*c = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34599592?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 7*i**2 + 4*i + 40. Suppose -2*b = -2*o - 18, 5*b + 2*o - 17 = 7. Let w = -4 - b. Let a be h(w). Round a to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**17\/i**2 assuming i is positive.\nAnswer: i**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -305818, -306561, -307800, -309535, -311766, -314493?\n\"Answer: -248*k**2 + k - 305571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 13409152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -7*k**2 - 79*k - 194. Determine a(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a + 3*p - 194, -2*a = -5*p + 643 - 311 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-7\/6)\/(a*a**(-6\/7)))\/(a**2*a)**(14\/9) assuming a is positive.\nAnswer: a**(-251\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19735 + 20012. What is the remainder when c is divided by 131?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 188.166 - 188. What is w rounded to two dps?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i**3 - i**2 - i. Let n be h(-1). Suppose 0 = -n*p + p + 154. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v**2 - 6*v - 4. Let u be q(-5). Let k = u + 50. Which is the smallest value? (a) 13 (b) 2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + u**2 - u + 3. Let l be q(0). Suppose -108 = l*y - 3. List the prime factors of 10\/y - 60\/(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v + 7*v - v - 9 + 13*v**2. Let x(y) = -6*y**2 - 4*y + 4. Let o = 328 - 323. Let g be o\/(-10)*-1 - (-36)\/(-8). What is g*a(z) - 9*x(z)?\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 12*f**2 - 180*f - 56. Is y(19) a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -233 - -207.7. What is t rounded to the nearest integer?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 3:37 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2 - 353*x**2 - 347*x**2 + 8*x - x**3 + 1040*x**2 - 349*x**2. Give k(-10).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 24461, 24491, 24529, 24575, 24629, 24691?\n\"Answer: 4*r**2 + 18*r + 24439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6711217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - j - 3. Let p(x) = -x**2 - 3*x + 4. Let c be p(-4). What is t(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59 + -55. Suppose -4*s + 3*m + 982 = -0*m, 2*m = s - 243. Suppose d*f = -35 + s. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((6*(sqrt(660) - -1*sqrt(660)))\/sqrt(12))\/(sqrt(25)\/(sqrt(10)\/sqrt(2))*5).\nAnswer: -2 + 12*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-35 - (-1430)\/26) + -21. Let w = -6 + 3. Suppose 0*d = m - 4*d + 3, 5*m - 2*d - 39 = 0. Sort m, g, w.\nAnswer: w, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -307007 or -10438243\/34?\nAnswer: -10438243\/34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-4 - (-1 + 1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f. Let k(p) = 4578*p. Let t(j) = 199*j. Let s(d) = -3*k(d) + 70*t(d). Calculate s(q(w)).\nAnswer: -196*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 809*f*j*p**2 + 19*f - 6*p**2 wrt j?\nAnswer: 809*f*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -770*b = 40943 - 8603 for b.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36207165 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 220, 518, 950, 1522, 2240?\nAnswer: 3110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 6:15 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3. Let f(n) = -11006*n**3 - n**2 + n + 1. Let o(x) = -f(x) - 5*s(x). Let r be o(-1). What is r rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**2 - 2*q**2 + 0*q**2 + (q + q + 0*q)*(21*q + 21*q - 2 + q).\nAnswer: 83*q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19\/13 in -4725, 5, 6\/31?\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 846 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 4*j + 21965, 0 = g - j + 2*j - 4392. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of d**3\/3 - 1. Let g be 12\/9*(-6)\/(-4). Let q(o) = -g*o + 3 - 3. Give q(r(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000001101001011011000 - 10001?\nAnswer: -10000001101001011101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110538?\nAnswer: 2, 3, 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jajjakxakkj.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 216131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 32455 = -16405. Suppose -7414 - b = -9*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 57*c**2 + 61*c - 171. Let o be j(58). Solve o*h = -q + 17, -3*h - 5*q + 25 = -0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -87, -182, -303, -444?\nAnswer: -599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 6*x + 26. Let f be c(-4). Let w(o) = -o**2 - 8*o - 3. Let j be w(-5). Solve 2*t - 6 = 4*t - f*m, j = -5*t + 4*m for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9890639 is divided by 31005?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*q = -50*q - 7. Sort -4, q, 2, 14.\nAnswer: -4, q, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z - 58*z + 3 = -40*z + 5*w, 6*z + 5*w = -9 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 + -37. Let f = 4 + -3.66. Which is the third biggest value? (a) 1 (b) f (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a - 1. Let p be g(3). Let m(f) = -f**3 + 15*f**2 + f - 17. Let x be m(15). Let c = x + p. Calculate the highest common divisor of 54 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1211 + 3650 = v + 5*o, 5*o = 0. Suppose -3 = 7*q - v. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 500755987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lt when two letters picked without replacement from {y: 1, l: 2, g: 1, j: 1, m: 1, t: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 118487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3730)\/(-35) + (-3)\/(-7) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqaz when four letters picked without replacement from {q: 2, a: 1, z: 2, j: 1}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -y + 2, -15 = 4*y - 4*h + 9. Let u be 33\/6*y + -3. Let b = 8 - u. What is the smallest common multiple of 2 and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000461944 to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -193056.\nAnswer: 1\/96528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2527*u - 20252. Give g(8).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 58 = 2*k, k + 3*l - 51 = -12. Solve 4*i = 4*w - 17 - 19, 0 = 4*w - i - k for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 52 = -3*k + 6*y, 3*y - 6 = 0. Let r = k + 36. What is the greatest common factor of 176 and r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3*i - 134. Let k = -1318 - -1317.8829. Let n = k - 0.0829. Which is the third biggest value? (a) i (b) -3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50758511, -50758523, -50758545, -50758577, -50758619, -50758671?\nAnswer: -50758733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + 0 + 1\/(-1). Suppose r*j + 0*h = 4*h + 18, 73 = 5*j + 4*h. Calculate the remainder when j is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/12 - (-665)\/15. Let c = g + -42. Suppose c*d + 640 = 2*i, -7 = 3*d + 2. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21433096 to the nearest integer?\nAnswer: 4630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -57495.\nAnswer: 1\/57495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1372))\/((sqrt(28)*1)\/sqrt(7) + sqrt(4)).\nAnswer: -7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20168292 to the power of 1\/3, to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 = 6*a - 43. Suppose 0*f = f - 3*u + 13, u + a = -3*f. Let o(q) = -11*q - 52. What is the remainder when 230 is divided by o(f)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5889 is divided by 70?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 17002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 7 + 3. Let f = r + 7. Let l = -138 + 193. What is the highest common factor of l and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113264395 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + -1*sqrt(112) + sqrt(28)\/sqrt(16) + 1 + sqrt(252) + -4.\nAnswer: -3 + 7*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/25, 1, -4102, 4\/3 in descending order.\nAnswer: 4\/3, 1, 2\/25, -4102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -112, -3, -1, -5 in descending order.\nAnswer: -1, -3, -5, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 347692816897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 0)*(-3 - 2*z + 3) + 5*z - 3*z + 13*z)*(3*z**3 - 5*z + 5*z).\nAnswer: 57*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.065 + 0.335. Is 6 bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, 5, 2, -245?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eepyyyeehpeleeipeee. What is prob of picking 1 h and 1 e?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 59\/6, 1, 0?\nAnswer: 59\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, o: 3, n: 3, f: 1, h: 1, i: 5}. Give prob of picking 2 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 5 = 8*x. List the prime factors of 95 - (1 - -3 - x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -3*l + 34. Calculate the smallest common multiple of 100\/l + (-6)\/21 and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in 0.4, 0, 1\/2, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 10:52 AM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 8*k**2 + 2*k - 3. Let z be s(-3). What is the highest common divisor of z and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**3 + 12190*n**2*q*z - 2*n**2*q + n**2*z - 3*n*q*z - 106*n*q - 2*n*z + q*z wrt n.\nAnswer: 6*n + 24380*q*z - 4*q + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/3)*v)**(-20)\/(v**(-2\/7))**12)\/(((v*v\/v**(1\/3))\/v)**(4\/9)*(v\/v**(2\/5)*v)**(1\/14)) assuming v is positive.\nAnswer: v**(-22348\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2633*r**2 - 394 + 56 - 2 + 2449*r**2 - 406 wrt r?\nAnswer: 10164*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ohhr when four letters picked without replacement from {r: 8, h: 2, o: 9}.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssss when four letters picked without replacement from sssssssssssm?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 275 divide 389125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s - 15. Let o be g(-10). Suppose -3*p - 4*t = -13, 3*t = o*p + t - 13. Which is the second biggest value? (a) p (b) 0.3 (c) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345 a factor of 21511671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3733*c**3 - 26*c**2 + 11*c - 13. Let m(j) = 1868*j**3 - 12*j**2 + 5*j - 6. Calculate 11*m(f) - 5*u(f).\nAnswer: 1883*f**3 - 2*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -581504, 1\/19, -4, 4?\nAnswer: -581504","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 + 16*i**2 + 4*i - 24.\nAnswer: 4*(i - 1)*(i + 2)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -4. Let u = -2.5 - g. Let i = -54 - -271\/5. Which is the smallest value? (a) u (b) i (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((0 + sqrt(125) - sqrt(125)) + sqrt(125) + 0)*1 - -2*(sqrt(5) - sqrt(500) - sqrt(60)\/sqrt(108))) + -3)**2.\nAnswer: 82*sqrt(5) + 8486\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 8 = 4*z - 4, 4*z + 3*d = 9. Suppose 5*b = -10, z = m - 2*m - b + 1. Find the first derivative of w**m + 8 - 7 - 2 wrt w.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + f = 12. Suppose 7*n + 2 = 3*n - 2*j, -4*j = 4*n + f. Find the third derivative of m**n + 0*m**6 + 0*m**6 - m**6 wrt m.\nAnswer: -120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 7. Solve 10 = 4*d + r*t - 3*t, 0 = -4*d + t - 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/v**(5\/4))*v**(-2\/33)*v*v assuming v is positive.\nAnswer: v**(421\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5039 less than -17?\nAnswer: -16.4961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in 2\/3, 2, 356?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**3 + 13*f**2 + 6*f - 3. Calculate the smallest common multiple of -3*(0 - (-7)\/(-3)) and y(-5).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1112\/16)\/((-6)\/(-36)) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by 82.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + ((-90)\/25)\/(18\/(-60)). Calculate the highest common factor of i and 583.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -53853 (b) -0.3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/1728 and 1\/43848.\nAnswer: 350784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 68.95184ml?\nAnswer: 0.06895184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*w**6 + 602313*w**4 + 111832826*w**2 wrt w?\nAnswer: 2400*w**3 + 14455512*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59324?\nAnswer: 2, 14831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2 - 13 = -4*j, 2*w = -3*j + 12. Let i(b) = -w*b**2 + 2*b + 2 - 3 + 11*b**2 - 7*b**2. Calculate i(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of f**4\/12 + 2*f**2 + 2*f. Let q(r) be the first derivative of s(r). Let p(o) = 8*o. Calculate q(p(h)).\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14351 and 254?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6881100*l**3 - 25748483*l**3 + 0*l**2 + 0*l**2.\nAnswer: -18867383*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/45*(-3)\/18*(-5)\/(-2).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 216*f + 224. Calculate b(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46 - 45.05. Let j = 1.4 - y. What is j rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3705597 + 285*k**2 - 3705597.\nAnswer: 285*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-14 - -12 - -17)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 6 = 1. Let m(l) = 9*l**3 - 1. What is m(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 894.01737 to one dp.\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.119, 1504, 0.17?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d + 7. Let i be ((-36)\/(-60))\/(3\/(-30)). Calculate n(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + x. Let u(h) = -6*h**2 - 4*h. Suppose 3 = -4*s + s. Let c(n) = s*u(n) - 4*v(n). Let f(d) = -41*d. Calculate c(f(z)).\nAnswer: 3362*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 3*b = 0. Solve 5*j = -b*j - 5*w + 15, 4*j - 3*w - 12 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000021 (base 3) to base 11.\nAnswer: 60a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -66020.\nAnswer: -3\/66020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 332.221287625 + -1.2\nAnswer: 331.021287625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 divided by -818.\nAnswer: -18\/409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003683842 rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 480\/(-1120) + 24\/7. Solve -6*u + i - 27 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-225)\/300 + 3\/(36\/21). Let j be (-82)\/(-80) - (-2)\/(-2). Is j greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (68\/8)\/((-6)\/12)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1691205 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 881*h**3\/5 + 4926*h**2 - 1064*h\/5 = 0. Calculate h.\nAnswer: -28, 0, 38\/881","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -21376.589 rounded to the nearest one thousand?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 198 and 1697553?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 336 = -15*j. What are the prime factors of 39 - (j\/4 - -3)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 + -5 + 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -671.3 to the nearest ten.\nAnswer: -670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4024 (base 11) in base 7?\nAnswer: 21412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10332200222 (base 4) to base 2.\nAnswer: -100111110100000101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 6*j**2 + 3*j. Let u = -32 + 35. Let n(f) = -f. Let k(g) = -5*g**2 - 4*g. Let h(y) = k(y) - 6*n(y). Give u*h(m) - 2*s(m).\nAnswer: 2*m**3 - 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1295, -10261, -34599, -81995, -160135, -276705, -439391, -655879?\nAnswer: -933855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 3*y**2 + 5*y - 2. Let w be t(4). Let d(g) = 170 - 37 + 8*g - 48 - 28 - 31. Let z be d(-3). Solve -4 - z = -w*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 6*s**3\/5 - 7154*s**2\/5 + 426736*s - 710432\/5 = 0.\nAnswer: 1\/3, 596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -197 - -451. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5979 is divided by 1992.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1646 + 101*t**2 - 1646.\nAnswer: 101*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*j - 102*j + 190*j**2 + 36*j + 33*j + 164*j**2 + 2 in the form u*j**2 + l*j + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q**3 + 2*q**3 + q**3 - 3*q**3.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 minus 99551968?\nAnswer: -99551968.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-25)\/k*k*k)\/k*(k**12*k)\/k)\/(k*k**7\/k*k)**(-3\/11) assuming k is positive.\nAnswer: k**(-108\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1003 = 4*o - 5*m, -o + 3*m + 81 = -161. Calculate the remainder when o is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539)*1 + 3 - sqrt(539))*-6)**2 + -2.\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 7*l**2 - l - 4. Let r be c(-7). Let p be 0\/((-7 + r)\/(-2)). Suppose x + 0*x - 57 = p. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from eeseseeeeessseee.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0959512916 rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(187) - -3*sqrt(187)) + sqrt(187))*-1)\/((sqrt(1100) - sqrt(1100)*-3) + sqrt(1100) + sqrt(1100)).\nAnswer: -sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 3*s - 2*k - 25, 20 = 5*k for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-4)*-4*(-8)\/(-56).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 2*j + 2*f + 4, -3*f = 5*j. Let x(k) = k - j*k + 5*k. Let o be x(-1). Let s(c) = c**2 + 2*c + 1. Determine s(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355*i + 635*i = 9900 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -3. Let g = -5 - f. Sort -0.3, -3, g in decreasing order.\nAnswer: g, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (198\/5)\/((-5)\/(-25)) is divided by 62.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 15*p**2 - 27*p - 42. What is the tens digit of u(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1321*d**2*o**3 - 2*d**2*o**2 - 39*d**2 - 3*d*o**3 + 2*d*o**2 + 2*o**3 + 18*o wrt o.\nAnswer: -7926*d**2 - 18*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 979770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -g**5\/5 - g**4\/8 + g**2\/2 - 1. Let r(s) be the second derivative of j(s). Let r(b) = 0. What is b?\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.4357 to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*g - s - 58 = -204*g, 3*s - 42 = 3*g for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 u, 1 s, and 1 b when four letters picked without replacement from {h: 1, b: 1, s: 5, f: 1, u: 7}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + h - 9 = -5*f, 5*f + 33 = 4*h. Let c = 6 - h. Let v(z) = 6*z**2 - 16*z + 10. Let y(a) = a**2 - 1. Let l(k) = c*v(k) - 4*y(k). Factor l(j).\nAnswer: -2*(j - 1)*(5*j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02498 rounded to 3 decimal places?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.01 - 0.09. Let y = 112 - 782\/7. What is the closest to 2\/9 in d, y, -1\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, w: 2, s: 2}. Give prob of picking 1 s and 1 y.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 157 - 139. Suppose s*p - 10*p - 24 = 0. What is the highest common factor of 24 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2126428 is divided by 349.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 92324, 92336, 92348, 92360?\n\"Answer: 12*a + 92312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 187248923, 187248924, 187248925, 187248926?\n\"Answer: h + 187248922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*s - 1. Let v = 438 + -423. Suppose -5*h - 5*n + v = 0, -2*n = -5*h + 32 + 4. Calculate the remainder when h is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1739*s**3*y + s**2 + 3*y + 77 wrt s?\nAnswer: -10434*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02093 rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 11, c: 2}. What is prob of picking 2 v?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 157407507 to the power of 1\/3, to the nearest integer?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - 8.2. Which is the nearest to n? (a) 6 (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*j*k**4 - 2*j*k**3 - 2*j*k + 5*k**4 + 2*k**3 - 19*k**2 - 3*k wrt k.\nAnswer: -72*j*k - 12*j + 120*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 224 = -s, -5*h + 560 = -2*s - 3*s. Calculate the highest common factor of h and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-6)*((-59730)\/(-6545))\/181.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + t + b + 20 = 0, 3*t - 2*b - 16 = 0. Let v(j) = j**2 + 5*j - 93. What is the remainder when v(t) is divided by (-4)\/(1 - (-3)\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-54))\/(1\/((-1449)\/(-322)))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9)\/30)\/(6\/(-8)). Let j be (1 - 1)\/(-1)*-1. Which is the second biggest value? (a) x (b) -0.5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - -1.2. Let d = -4136 + 4131. Put p, d, 16 in decreasing order.\nAnswer: 16, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77055 and 425810?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 17231 and 521?\nAnswer: 16710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6125*d**5 + 619148775*d**4 + 15647211862155*d**3 + 23693289015125*d**2 + 9081266270040*d + 1034569974420 = 0 for d.\nAnswer: -50542, -1, -9\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3906457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**2\/4 = 0. What is i?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125, 255, 387, 521, 657, 795, 935?\nAnswer: 1077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + x + 8938072. Let w = 831000 - x. Let y = -963518 - w. Round y to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -5*r**3 + 5*r - 7. Differentiate s(p) wrt p.\nAnswer: -30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 895 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -210, -1579, -5288, -12507, -24406, -42155, -66924?\n\"Answer: -195*h**3 - 4*h - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 44, 2, 19 in decreasing order.\nAnswer: 44, 19, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -707*w + 9734*w - 913039 = 377822 for w.\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 4*v. Let d be w(4). Suppose d = -4*c + 8, y + 2*c + 3*c = 63. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 199484*c**2 + 266011*c wrt c?\nAnswer: 398968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -21*a - 4. Let x(z) = 127*z**2. Calculate x(c(g)).\nAnswer: 56007*g**2 + 21336*g + 2032","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68177 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.019387 times 974\nAnswer: 18.882938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*p**4\/11 - 126*p**3\/11 - 60*p**2\/11.\nAnswer: -6*p**2*(p + 10)*(2*p + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 4*u - 4. Let r be v(4). What is the nearest to -1\/2 in -1, -1\/8, r?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-16)\/24)\/((-4)\/(-2)))\/((800\/(-888))\/100).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*1*(-4)\/(-8). Let b = 20 - v. Suppose -13 = -q + 2*o + b, -3*q + 4*o + 96 = 0. Does 18 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9128000 to the nearest one hundred thousand.\nAnswer: 9100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -874987.7909979 + 875023.791. Let y = -28.8 + -7.2. Let f = g + y. What is f rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/30 (b) 9\/5246 (c) 5.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -6*y - 3*k, 5*y - 5*k = -587 + 567 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 - 1. Let k = -271\/4 + 68. Put n, k, 4\/5 in decreasing order.\nAnswer: 4\/5, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 119*b**2 + 117*b**2 - 3*b + 7 - 244*b**2 - b**3 - 27. Determine u(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-99)\/(-54) + (-15)\/9. Factor -1\/3*f + 0 + n*f**2.\nAnswer: f*(f - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 4*r + 2. Let j be l(-4). Suppose -j*i - 8 + 50 = 0. What are the prime factors of i?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 858.7545kg?\nAnswer: 858754500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/15)\/(-9*(-14)\/(-3150))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4 = -0*w + 4*w, 4*s - 1 = w. Let l(i) = 9*i**2 + i. Does 8 divide l(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7228024267?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.8 times 0.4?\nAnswer: -7.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (109\/(-436) - (-422)\/(-72)) + 3 + 2\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, 0.07, 0.4, -0.4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1542.2686 and 1?\nAnswer: 1541.2686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 82677*r**3 + 3347*r + 1 wrt r?\nAnswer: 496062*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -1033*h**2 - 6*h + 39. Let z(l) = -517*l**2 - 3*l + 20. Let d(u) = 2*k(u) - 5*z(u). What is the second derivative of d(j) wrt j?\nAnswer: 1038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 2*m = 84331, -2*m - 18564 = -z - 1693. What are the prime factors of z?\nAnswer: 101, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -6*o - 17. Let r be 4\/4*(-28 + 21). What is f(r)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -6*v + 36. Let g be w(6). Calculate the remainder when 25 is divided by (-30)\/(-9) - (6\/(-9) + g).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 3:06 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199152.\nAnswer: 2, 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/7)*(g*g**(-6\/11))\/g*g*g)**(-3\/10) assuming g is positive.\nAnswer: g**(-87\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30791 + 53800. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (846\/235)\/((4\/15)\/(73\/(1679\/(-138))))?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.14 + -230321\nAnswer: -230322.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**2 - w + 2. Let l be u(-2). Let n(b) = 109671*b + 188625*b - 73296*b. Let a be n(l). Round a to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35591891659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -499? (a) -3\/7 (b) -0.1 (c) -1.2 (d) -1 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -13444*q. Let h(a) = -599*a**2. Give p(h(y)).\nAnswer: 8052956*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6594700 to the power of 1\/3, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-842*n + 37*n - 64*n)*(0*n**2 - 5*n**2 + n**2) as b*n**3 + d + k*n**2 + y*n and give b.\nAnswer: 3476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -30\/3534337 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*(11 + 0 + 1)*(1 + 2*h - 1)*(-2*h - 2 + 5*h - 2*h).\nAnswer: -24*h**2 + 48*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*o - 4. Suppose -o*h + 119 - 14 = 5*g, -g = -5*h + 8. List the prime factors of g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/14)\/((-4)\/80*16\/14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7\/4 - 25\/12. Sort q, 4, -0.6 in descending order.\nAnswer: 4, q, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 105 - 71. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-20)\/2 - 23*-162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 22003\nAnswer: -7\/22003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -99, -271, -763, -1737, -3355, -5779?\n\"Answer: -27*w**3 + 2*w**2 + 11*w - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39974*4910.\nAnswer: -196272340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -35*l**4\/16 - 3*l**3\/8 + 3*l**2\/4 - 4*l. Solve i(g) = 0.\nAnswer: -2\/7, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1198948 + 0.3.\nAnswer: 1198948.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1441 (base 6) to base 8.\nAnswer: -601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zq when two letters picked without replacement from qbbsbbbzbszzs?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6180314 and 160688164.\nAnswer: 160688164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 935 and 2970.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + sqrt(27) + ((sqrt(216)*-2)\/sqrt(8))**2) + 5 + (sqrt(3) - (-1 + sqrt(3)*-1)**2)*3 + 3.\nAnswer: 6*sqrt(3) + 311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 91466939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + (-13)\/5 + 0. Which is the closest to g? (a) 0 (b) -1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-5\/6)*w*w*w**(-9)*w*w**(-2)*w**(-11) assuming w is positive.\nAnswer: w**(-119\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-26 - -59) - 35.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2362 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 137426830 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10206 and 4494.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -32466\/59 or -4.3?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -534 and -275141926.463.\nAnswer: -275142460.463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/4*616\/11088.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b + 14. Determine p(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-5))\/(4\/20). Suppose 0 = x - j + 3, -2*f - x = -11. What are the prime factors of (-23)\/(-7) - f\/21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -40 + 23 + 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/(4*sqrt(6)) + 1.\nAnswer: 1 + sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 9) + -8 + (-7 - -10 - 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/5 + (-19)\/(-5). Suppose 5*j + 0 = w*x - 1, 5*x - 3*j + 15 = 0. Is ((-8)\/x)\/(2\/51) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12588011581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -122 + 254. List the prime factors of a.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166585.\nAnswer: 5, 33317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 8:15 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.2016506 rounded to 1 decimal place?\nAnswer: -8.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1726 + 40032?\nAnswer: 37205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1840 and 182140?\nAnswer: 16756880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 + 36. Suppose 8*w = l*w + 5020. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 2:04 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 7*a + 6. Let l be p(-6). Suppose l*u + 28 = 3*d + u, -3*u = -5*d + 70. Let g be (-560)\/100 + 6\/10. Put d, g, -2 in increasing order.\nAnswer: g, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 12) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4879 divided by 17\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4608 and 9568.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/6 and 79\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-3 - (-1 - 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*i = 62*i - 135*i + 150 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20734 - -2703?\nAnswer: 23537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -44494654 less than or equal to -44494678?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 11*r**2 - 14*r - 14. Determine c(-12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -527*q*y**5 + 2*q*y**2 - 2*q*y + 46*y**2 wrt y?\nAnswer: -31620*q*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 39*v - 27. Let m(o) = 3*o - 2. Let t(w) = -w**3 - 4*w**2 + 5*w + 2. Let k be t(-5). Let d(r) = k*j(r) - 27*m(r). Let p(h) = -7*h**2. What is d(p(u))?\nAnswer: 21*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 11:38 AM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2 - 233*t + 4399. Calculate n(98).\nAnswer: 773","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3511*y**2 + 5196*y**2 - 15150*y**2 to k + i*y**2 + s*y and give i.\nAnswer: -6443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21562237 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1099 at most 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 3:19 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 131*l*n*w - l*n + 55*l*w + 9*l + 4*n*w + n + 1270460*w wrt l?\nAnswer: 131*n*w - n + 55*w + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 - ((4 - -2) + -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*sqrt(143))\/(sqrt(11) + -2*sqrt(11)*-1).\nAnswer: -10*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**4 + 10560*s**3 + 5533280*s**2 - 44774400*s + 89888000 = 0 for s.\nAnswer: -1060, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -2\/13, 112, 3\/4, -1, -2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -x**6\/120 - 17*x**5\/60 - 7*x**4\/8 + 4*x**3 + 39*x**2 - 2. What is the remainder when s(-16) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.89 + -5.889699. Round f to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 1) + 16 + -31 + 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/790 and 38\/67834535.\nAnswer: 135669070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 20133203 (base 5) in base 9?\nAnswer: 265702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 1 + x**2 + 0 + 3*x + x + 2*x. Let w be y(-5). What is the biggest value in 0, w, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {t: 3, u: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -518671, -518667, -518663, -518659, -518655, -518651?\nAnswer: -518647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 932657 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -367598 + 5?\nAnswer: -367593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(20)\/(sqrt(32)\/(sqrt(16)\/sqrt(2)) + sqrt(4)).\nAnswer: -4 + sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4148625647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 25, 0 = -3*i - o + 5*o - 11. Suppose -3 = 3*u - n, 3*n - 5 = -i*u + 4. Solve -2*x - 2 + u = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18868 or 150953\/8?\nAnswer: 18868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 11*p**2 - 15*p - 13. Let w be h(-10). Suppose 5*j - 5*a - 395 = -0*a, 0 = -3*j - a + w. Is j 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 1343998, 1343997, 1343996, 1343995?\nAnswer: 1343994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/7 or -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92119435.\nAnswer: 5, 211, 87317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 53451254 to the power of 1\/2, to the nearest integer?\nAnswer: 7311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 5*l + 332, 3*g + 456 = -l + 686. What is the remainder when 1558 is divided by g?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 - (14\/(-6) + 22\/(-33)) and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -9689*p**4 - 9*p**2 + 237*p - 5. Let g(m) = -29068*m**4 - 26*m**2 + 711*m - 14. Let n(r) = 7*g(r) - 20*k(r). Find the third derivative of n(w) wrt w.\nAnswer: -232704*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93325535?\nAnswer: 5, 18665107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(192))**2 - sqrt(192)) + 2.\nAnswer: -24*sqrt(3) + 195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4*i - 13 = 4*q, 3*i + q = 18. Solve -i*a = 4 + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2261501899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 6 = 0, 0*h - 5 = -z - 4*h for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-4))\/(27\/(-6)). Let a = 0.394 + 0.006. Put a, -2\/3, g in ascending order.\nAnswer: -2\/3, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttftfttdtddftffd. Give prob of sequence dtff.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 45, 38, 17, -24, -91, -190, -327, -508?\n\"Answer: -b**3 - b**2 + 3*b + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**4 - 4*s**4 + 0*s**4)*(43 - 22 - 21*s - 19) + 2*s**5 + 2*s**5 - 5*s**5.\nAnswer: 41*s**5 - 4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15036772646\/(-2710) - (3 + 5)\/(-4). Let v = 5548622 + a. Let z = 2\/271 - v. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 150743*a**3*d**5 - 70*a**3 - 183*a**2*d**2 - a**2*d - a*d**6 - d wrt d.\nAnswer: 9044580*a**3*d**2 - 120*a*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3*b = -4*t + 36, 2*t + 4*b - 68 = 0. Let k be ((-4)\/(-6))\/(2\/t). Let z be (5\/(-3))\/(2\/(-36)). Calculate the greatest common divisor of k and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 4. Let t(x) = x**3 + 6*x**2 - x + 2. What are the prime factors of t(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*w - 11. Suppose 58 = w*j + 18. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/11636 and -83\/6.\nAnswer: 34908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 4*d + 55 = 0, -85 = 10*n - 64*d + 67*d for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - 1 - (20 - 7). Let u = y - -14. Let q(i) = 7*i**3 + 2*i - 1. Give q(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35369\/39 - 907. Let t = -58\/195 + j. What is the nearest to t in -3\/2, -0.5, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/9 + (-682)\/48 - 189\/1512.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -119*j**2 + 779*j - 24. Calculate q(7).\nAnswer: -402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -8*v**3 + 9*v**2 + 3*v - 8. Let l(u) = 2*u**3 + u**2 - u + 1. Determine -f(z) - 3*l(z).\nAnswer: 2*z**3 - 12*z**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28? (a) 0.762 (b) 2 (c) 0.319\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 5*t - 5*a - 4, a = 5*t - 26. Let l be 437\/138 + 4\/3. Is l equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, y: 2, r: 1, k: 3}. What is prob of sequence krky?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.07 + -2.95. Let g = i + 0.88. Put 4, 5, 3, g in increasing order.\nAnswer: 3, 4, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 + 4 + -3 + 2. Let g(b) = 7*b - 11. Let w be g(t). Does 11 divide 1\/(1*4\/w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (11 - (-10 + 23)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*i - 221*i - 2429 = 0 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -88 + 6*p**2 + 88 + (-2 + 2 + 4)*(2*p**2 + 0 + 0) as f*p + g + w*p**2 and give w.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5730*j**4*s + 2557*j**2*s - 30342*s - 1357 with respect to j.\nAnswer: 22920*j**3*s + 5114*j*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -92 + 126 - (1 - -1) - (10 + -2 + 2)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 4:17 AM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x + 2. Let a be v(-6). Let i be 2 - (2 + a - -2). Suppose 0*r + 16 = i*r. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 38*g**2 - 37*g + 1. Give t(37).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1178 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 9:37 PM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 2 = 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4758, -4735, -4712, -4689?\nAnswer: -4666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30263 divided by -11.\nAnswer: 30263\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/7226478 and -7\/2064708?\nAnswer: 14452956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 471040 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 30 + 14)*(5*v**3 - 4*v**3 + 2*v**3) + v**3 + 3*v**3 - 5*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -118*w + 511 + 1259 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3*-58\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44844264?\nAnswer: 2, 3, 97, 6421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 78*m. Let z(w) be the first derivative of 0*w**2 + 56 - 2\/3*w**3 + 0*w. Determine q(z(c)).\nAnswer: -156*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -149*p + 1742. Determine l(12).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5561\/(-1206) + (-3)\/(-27))*(-80)\/(-12).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/20*(-10)\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20? (a) 0.5 (b) -353 (c) 5 (d) -0.2 (e) -8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8181\/75 - (79\/50 + 12\/(-8)). Solve 43*k - 410 = -s for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69579725.\nAnswer: 5, 17, 53, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 27 - 15, -3*o + 3*l + 24 = 0. Which is the nearest to -2? (a) 0.2 (b) 5 (c) -3\/2 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.5 + -1. Let j = -93 - -91.98. Let w = j + -1.98. What is the closest to 3 in w, -2.5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 7*b**2 - b + 10. Let p(a) = a**3 - 6*a**2 - 10. Let x(s) = 2*c(s) + 3*p(s). Give x(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 23*b - 4. Let d(w) = -760*w + 133. Give -4*d(i) - 133*k(i).\nAnswer: -19*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 421 (b) 0.5 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uy when two letters picked without replacement from {y: 1, z: 4, d: 1, h: 2, u: 4, q: 7}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-6))\/(10\/4). Let a = -4 - -7. What is the second biggest value in o, a, -2\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 70 in 0.1, -4, -2\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/4 + 11693\/(-22). What is a rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 220?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 39 - (1 - 4) - (-31 - -47 - 3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggw when three letters picked without replacement from ggggggggwwggg.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventy-seven halves of a milligram?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3575 = 7*m. List the prime factors of m.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 4*f**2 - 10*f - 16. Let i be p(-8). Suppose 1485*t = 1489*t - i. What is the remainder when t is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + sqrt(684)) + sqrt(684)*-1 + 0 + (sqrt(684) + -1)**2*-3 + 3.\nAnswer: -2056 + 54*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.344 + 79.8?\nAnswer: 80.144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48271 - 58522 - 241506 = 11703*w + 309987 for w.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2151745, -4303477, -6455209, -8606941, -10758673, -12910405?\nAnswer: -15062137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*27\/18)\/((-2)\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5151?\nAnswer: 3, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18 - -9) + -3)\/((-6)\/(-4)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/9)*j*j*j*j**(-24)*j*j assuming j is positive.\nAnswer: j**(-169\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n + 22 + 12 = 0. Sort 3, -4, 0, n in descending order.\nAnswer: 3, n, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1773292 is divided by 1851.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -13*a**3 + 18*a**2 + 33*a - 11. What is the least common multiple of v(-2) and 23?\nAnswer: 2277","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-33)\/(t**(1\/3)\/t))\/((t\/(t*t\/t**(-7))*t)\/t*t**(-4\/3)))**(-8) assuming t is positive.\nAnswer: t**184","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -5. Let q be ((-1)\/p)\/(1\/(-4)). Suppose q*g - 57 = -3*g - 3*w, g - 2*w - 1 = 0. Calculate the remainder when 17 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -y**2 - 4*y + 1. Let a be t(-4). Solve 3*z - 4*b - 6 = 0, 2*b - a = -0*z - 2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1406*g**3 + 10584*g**2 - 319456*g + 67 wrt g?\nAnswer: 8436*g + 21168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 10:38 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 738 (base 10) in base 14?\nAnswer: 3aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c + 35 - 70 + 0*c.\nAnswer: -2*c - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 9*a + 2. Let r be 130 + 40\/(-8) + (-4 - 1). Suppose 2*o = -18*o - r. Give b(o).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3975 by -1325.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2318424 - -946424. Round z to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 36846 - 6039?\nAnswer: 30808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 113 - 55. Let c = u + -24. Suppose 34 = -0*w + w + d, -97 = -3*w + 2*d. Which is bigger: c or w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(-2) + 2\/4. Let o(c) = c**3 - 12*c**2 - 13*c + 8. Let y be o(13). Solve -q*t + y*t = -5*u - 20, t = u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 69534, 139066, 208600, 278136, 347674?\n\"Answer: x**2 + 69529*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 9, x: 7}. What is prob of picking 3 x?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4486*m - 3*m**4 - 896*m + m**4 + 107*m**3 + 20*m**4 wrt m?\nAnswer: 216*m**2 + 642*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/275 and -87\/220100.\nAnswer: 2421100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59 + -60. Which is the second biggest value? (a) 5 (b) 0.2 (c) j (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -249 + 421. Let p be 1 + 5\/(5\/x). Let f = p + -1213\/7. Which is the nearest to 0? (a) -0.2 (b) f (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n**4*n)*n\/(n\/n**(2\/37)))\/(n**(-7)*n**(-2)) assuming n is positive.\nAnswer: n**(224\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -564 by -72710.\nAnswer: 282\/36355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80904168 divided by -6.\nAnswer: 13484028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(22) + (sqrt(1078) - (sqrt(1078) + 1*sqrt(1078))) + sqrt(22))\/(-1*sqrt(275)))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 14 = -4. Suppose u*g + 10 = p, -5*p - g + 21 = 3*g. Suppose -1 = 2*f - p. Solve -f*x = -x + 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = v - z - 7, -3*v - z = -6. Suppose 37 = 2*w - v*u, w - 2*u = 2*u + 21. Suppose 8 = p - w. Calculate the remainder when p is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*l - 47 - 18. Suppose 290 = -r + 2*r - h, -l*h + 615 = 2*r. What is the greatest common factor of r and 118?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.5, -4, -0.16, -0.19?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 170186, 170184, 170182, 170180, 170178, 170176?\nAnswer: 170174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -604156.03043979 - -604156. Let r = 78.02961979 + c. Let f = -78 + r. Round f to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102030000 rounded to the nearest one million?\nAnswer: 102000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mjmjbmmjmmjmmjmmmj.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -790*t + 784*t = -468. What is the greatest common factor of 39 and t?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5*o - 1. Let f = 1 + 4. Let c(r) = 9*r - 1. Calculate f*t(l) - 3*c(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 148\/1303 - -4176\/9121. Let z = -0.9 + -0.1. Which is the third smallest value? (a) -0.1 (b) z (c) y (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -126*u + 3*u**2 + 6 + 0 + 124*u - u**3. Let f be k(3). Let d = -0.2 + 0.7. Which is the smallest value? (a) -1 (b) f (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5659\/27 or -211?\nAnswer: -5659\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.38398 times -106\nAnswer: -40.70188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47477*a**2 - 4*a + 6*a + 48312*a**2 - 2*a.\nAnswer: 835*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 9. Calculate the greatest common factor of 63 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.056 and 1\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14976795 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11834?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 6*r**2 - 31*r - 513. Let w be t(-7). Let n(u) = -4*u - 18. Let z(f) = -f**2 + f. Calculate w*z(p) - n(p).\nAnswer: 2*p**2 + 2*p + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 8.7, 1, -1, -4, -26\/7 in increasing order.\nAnswer: -4, -26\/7, -1, 1, 8.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/38, -0.2, 299.\nAnswer: -0.2, 1\/38, 299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3177*c**2 + 6343*c**2 - 3159*c**2.\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1449 - -1448. Which is smaller: 1\/1247 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(132)*4 - (sqrt(132) - sqrt(132)*-2)*6)\/(-1*(sqrt(588) - sqrt(588)*-5))*1 + 0.\nAnswer: 13*sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-88)*104\/(-364)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 18\/1427?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -1196*w. Let k be a(3). Let l = k - -652. Let d = -32321\/11 - l. What is the common denominator of -23\/11 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**4 - 12653*b**2 - 59*b**3 + 6*b + 12654*b**2 + 170*b**3 to d + j*b**2 + u*b**3 + k*b**4 + x*b and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10, -285, -776, -1463, -2346, -3425?\n\"Answer: -98*c**2 - c + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2233.\nAnswer: 7, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 362*n**2*r**3 + 29*n**2*r**2 + 2*n*r**3 - r**3 - 215*r**2 wrt r?\nAnswer: 2172*n**2 + 12*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 848394846.\nAnswer: 2, 3, 13, 3625619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*u - 29*u - 1572 = -144*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 0)*(35*l - 5202084 - 10*l + 5202073).\nAnswer: 50*l - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -1. Let h be (g\/(-5) - (-300003)\/15)*510. What is h rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*-1)\/(2\/14)*136*(-12432)\/159936\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 33 = 4*d, 0 = -44*d + 40*d - 2*g - 30 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.7 - -0.3. Let j = 0.9862 + -0.9862. What is the third smallest value in -0.3, j, 0.5, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101001 + -101?\nAnswer: -1101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of c**6\/60 + c**5\/20 + c**4\/12 + c**2 + 23. What is the third derivative of u(l) wrt l?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 107775, 107676, 107577, 107478, 107379?\n\"Answer: -99*g + 107874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*x**3*y + x**3 - 109*x**2 + 3880*y**2 - 27 wrt y?\nAnswer: -2*x**3 + 7760*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -99414 rounded to the nearest 1000?\nAnswer: -99000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 6 + 1 + 2*a**2 + 4*a + 3*a + a - 11. Let v(y) = -2*y**2 - 7*y + 5. Calculate -5*v(p) - 6*z(p).\nAnswer: -2*p**2 - 13*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 52, 138, 226, 316, 408?\n\"Answer: z**2 + 83*z - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15246 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k + 3. Let w(g) = -4*g - 4. Let o(a) = -6*b(a) - 5*w(a). Let z(h) = -h + 1. Let q(t) = o(t) - 2*z(t). Let c(n) = 2*n**2. Calculate q(c(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, p: 2, v: 1, f: 1, e: 1}. Give prob of sequence vp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 5*x**2 - 19120*x + 18278720 = 0.\nAnswer: 1912","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 2 - 2)*(1 + 3 + 1) - w - 4*w + 3*w.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*1 - (-6 + -4806). Let o be -1 - (2 - 192898\/40). Let k = t - o. Calculate the common denominator of k and 93\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 8. Solve t*y - 15 = 7*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34639670 divided by 13735\nAnswer: 2522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3522544 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 610550.\nAnswer: 2, 5, 12211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 5*j**3 + 2*j**2 - 4*j**3 - 8 - 6*j - 3*j**3 to i + b*j**3 + f*j + c*j**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(sqrt(24)\/sqrt(6)*-2)*-3.\nAnswer: 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -1\/3*t**3 - 1\/2*t**2 - t - 47. Let x(w) = 7*w**2 + 7*w + 8. Determine -5*i(p) - x(p).\nAnswer: -2*p**2 - 2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3*i - 330 = 0, -i = -3*n + i + 340. Find the third derivative of -1 + 24*h**2 + n*h**3 - 96*h**3 + 1 wrt h.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 80335317 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 * -588\nAnswer: 470.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -20*g**3 + 2*g**2 - g + 1. Let b be p(-2). Let r = b + 134. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -2*y**3 - 2*y**2 - 1 - 1\/2*y**4 + 0*y. Factor z(c).\nAnswer: -2*c*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of -z**6\/120 - z**5\/60 + 9*z**3\/2 + 26*z**2 - 1. Let n = -1 - -1. What are the prime factors of o(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5883, 11679, 17475, 23271?\nAnswer: 29067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 801, 0, -5, -15, 4 in ascending order.\nAnswer: -15, -5, 0, 4, 801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10631 + 33615 = 1352*l for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288 is divided by 84?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -178*q*r**2 + 2*r**2 + 508*r with respect to q.\nAnswer: -178*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 - 1) + 32\/5. Which is the nearest to n? (a) -2\/7 (b) 3\/7 (c) -1 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100253 (base 6) to base 4.\nAnswer: 1323021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 27 = -4*m, -2*m - 34 = -5*m + 5*f. Find the second derivative of 5 + 5*r - 5 + 2*r**m - r wrt r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 25344116?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 581 is divided by 575?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/1*3\/4. Suppose -12 + 14 = -j. Let c = -6 - -11. Put c, j, m in decreasing order.\nAnswer: c, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - a. Let y be w(-1). Solve -2*z + 2*l - 6*l = -18, 0 = -y*z - 2*l + 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6361207541?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -12, -2, -1, 2.\nAnswer: -12, -4, -3, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -27 and 3.05324922.\nAnswer: -23.94675078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5228 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 4:19 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by -40243?\nAnswer: -16\/40243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 61878107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 5*r + 3. Let i(c) = 10*c - 5*c - 1512 + c**2 + 1514. Give 5*i(o) - 4*s(o).\nAnswer: o**2 + 5*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x = -631 + 802. Let a(u) = 37*u - 11. Let o(c) = 18*c - 5. Calculate x*o(l) + 4*a(l).\nAnswer: -14*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1717981 less than 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 53437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 1785?\nAnswer: -8925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 41082.23ng in tonnes?\nAnswer: 0.00000000004108223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(18) - sqrt(126)\/(sqrt(14)\/sqrt(2)))\/(sqrt(864)*2) + 3 + (sqrt(15)\/(-1*sqrt(5)) - (sqrt(3) + (0 + sqrt(3))*-6)**2))*-4.\nAnswer: 4*sqrt(3) + 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*f - 25 = 37 + 148 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 + -49. Let i be (1 - (-2 + 2))*a. Calculate the common denominator of -73\/10 and (5*5)\/(-3 + i).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.7 + 4. Let q = -6714 - -6710. Suppose -4*o + r + 4 = o, 5*o = -4*r - 16. Which is the nearest to o? (a) 0.1 (b) l (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 107.044645 and 260.\nAnswer: 367.044645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**0)**(2\/31))**(-19)*(o\/o**(1\/3)*o*o*o\/o**2)**10 assuming o is positive.\nAnswer: o**(1436\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8136.48 hours?\nAnswer: 29291328000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u**3 - 17*u**2 - 25*u. Let n(w) = w**3 - w**2. Let s(g) = -4*n(g) + v(g). What is the second derivative of s(a) wrt a?\nAnswer: -42*a - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 422693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004379667 rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2 + -6*(sqrt(320) - 1*(sqrt(320) + 0 + sqrt(320)) - (-5 + 0 + sqrt(320)))*6)**2 + 1.\nAnswer: -209664*sqrt(5) + 1692008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + -1404.\nAnswer: -1403.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40 - 36. Suppose -3*w = -2*p - 16, -p = 3*p - d*w + 24. Let q(f) = f**2 + f + 1. Calculate q(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-8) + (-317515)\/728904.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52768255298992 - 7?\nAnswer: -52768255298999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.5, -0.4, 0.08, 4 in decreasing order.\nAnswer: 4, 0.08, -0.4, -3.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 817?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -144 - -166. Let g(m) = m**3 - 7*m**2 + 6*m + 6. Let i be g(6). Suppose l = -i + d. Which is bigger: 13 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 at most 142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b = 1813 + 19145. Is b a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6991 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/32)\/(3\/(-6)). Let c = 0.29 + -0.17. Let o = c - 4.12. Put p, o, 4 in ascending order.\nAnswer: o, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 141 in -2\/9, 8, 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 6*q**2 + q + 7. Let n be z(-6). Let u be -5 - -10 - (0 - n). Let b(t) = t**2 + 0*t**2 + 2 + 3 + u*t - 3*t. What is b(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 7*y**2 - 23*y + 57. What is x(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.08 + -0.08. Let j = -571\/44 + 140\/11. Which is the nearest to j? (a) -0.1 (b) f (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -7*t - 2. Let x = -1122 + 911. Let a = 210 + x. Let l(b) = -b - 8. Let i be l(-4). Let y(d) = d + 1. Give a*h(f) + i*y(f).\nAnswer: 3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1182*o - 587*o - 595*o + o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -356 + 368. Suppose 0 = -k*y + 25 + 419. Is 11 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-14))\/(38\/1596). Solve -2*r + r = y + k, -28 = 4*y - 4*r for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19184 + -12746. Is 5 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 0, 0 = -4*x - 2*n - 60 + 20. Let m(d) = 20*d**2 + 1. Let i be m(-1). Let f = i - x. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -563*k**2*u**2 + 7*k*u - 2893*u**2 wrt k.\nAnswer: -1126*k*u**2 + 7*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 + 11*z**2 - 19*z + 9.\nAnswer: -(z - 9)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeezaa. What is prob of sequence eza?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -29*b**3 - 2*b**2 + 3*b + 4. Let d be i(-2). Let z be (-3 - -6)\/(3\/d). Suppose 68 = 5*h - z. What are the prime factors of h?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 10, 31\/4 in decreasing order.\nAnswer: 10, 31\/4, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-23984298)\/52)\/((-54)\/12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-20)\/24)\/(20\/(-12)*1). What is the biggest value in 21, 3\/8, 0.4, q?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7964 by 4.\nAnswer: 1991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -i + 5*i + 26, -5*i + 5 = 5*v. Let h be (-2 - 3) + v + 0. Let r(s) = 2*s**3 - s**2 - 2*s + 23. Is 16 a factor of r(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 4*p + 606, 0 = -5*j - 4*p + 1351 + 170. What is the highest common factor of 671 and j?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - r - 17, 6*b = -2*b + 5*b - 4*r + 7 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -2.386, 2\/65, -37\/17?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1117?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13215427.\nAnswer: 13215427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/2)*g)\/g)**(-2)\/(g*g**(-3\/10)*g*g*g*g*g\/(g**(2\/11)*g)*g) assuming g is positive.\nAnswer: g**(-497\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*a - 8 = -45, 3*n + 2*a = 45. Suppose -12*x + n*x - 3 = 0. Suppose 0 = -4*o + f + 279, o = 5*o - x*f - 277. Round o to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2228891 is divided by 54?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -551333 + -3?\nAnswer: -551336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 606639 rounded to the nearest ten thousand?\nAnswer: 610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**2*o*x**3 + 2*b**2*o*x**2 - 24*b**2*x**3 + 3*b**2 - 22*o*x**3 + 9*x wrt x.\nAnswer: -12*b**2*o - 144*b**2 - 132*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10666.\nAnswer: 2, 5333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -7*l. Let t be -2*1 - (-105 + 101). Let m(n) = -5*n**2 - 2*n**2 + 13*n**t. Determine m(f(s)).\nAnswer: 294*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4559)\/940*((-2)\/58 + 0) and -91\/220.\nAnswer: 6380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y. Let q(l) = 193574561*l. Determine a(q(o)).\nAnswer: 193574561*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -n**2 + 3*n**2 + 2*n**3 - 5*n**3 + 4*n**2 wrt n.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**4 - 24678*z**3 - 48041067*z**2 + 11143104120*z - 611665114800.\nAnswer: -3*(z - 107)**2*(z + 4220)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Express -56*b**3 + 28*b**3 + 27*b**3 - 1 - 4*b in the form y*b**3 + m + d*b**2 + a*b and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.53, -5, 0.6 in ascending order.\nAnswer: -5, -0.53, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 v when two letters picked without replacement from {z: 4, p: 4, w: 2, v: 4}.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 25.7769?\nAnswer: -20.7769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.79421686 to three decimal places.\nAnswer: 12.794","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29725 - 20198. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 8*z = 120. Let m = -192 + 339. Let n = z + m. List the prime factors of n.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -33, -26.6, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2 + 6*q + 3 + 3*q**2 + 0*q**2. What is w(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 547 - 657. Put 2, 5, x in decreasing order.\nAnswer: 5, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 641023 is divided by 185.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -r**4\/12 - 11*r**3\/6 + 15*r**2\/2 + 5*r. Let f be w(-12). Suppose 0 = -f*l - l + 12. Solve 0*j = -l*j + 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -66.15 - -0.15. Let m = f - -69. Suppose 0 = 3*y - 4*n + 9 + 8, -5*n = -5*y - 20. What is the closest to y in m, 2\/3, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 + (-4 - 2 - -7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 268 - 272. Let o be (51\/3 - 6) + -13. Put o, 3, d, -3 in increasing order.\nAnswer: d, -3, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f - 50 = -12*f. Let o(a) = 365*a**2 - 165*a**f - 176*a**2. Let s(b) = b**2. Determine o(s(g)).\nAnswer: 24*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 126*n**2 + 39*n + 113. Is m(-4) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -194713, -391225, -587735, -784243, -980749?\n\"Answer: r**2 - 196515*r + 1801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28481737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1404)*5)\/((sqrt(21) - -2*sqrt(21))\/sqrt(7)).\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -270 + 253. Does 30 divide (-42)\/(-7) - z - -7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 1. Let c = -2 - -7. What is the greatest common factor of c and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -588 < 4493?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 340*w**2 + 9*w - 7. Let s be z(-4). Suppose 2*u + 19*u = s. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -6, -4008, 2\/9, 0.13 in increasing order.\nAnswer: -4008, -6, -5, 0.13, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kddk when four letters picked without replacement from ydddkdududukl?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -178790*f**3 + 60731*f**2 - f wrt f.\nAnswer: -1072740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.2 + 0.8. Let x = 6 - p. Let j be ((-16)\/(-6))\/((-80)\/(-12)). Is x greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 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: Expand (2 - 2 - x)*(-8935 + x**2 + 8947 + 0*x**2).\nAnswer: -x**3 - 12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -353?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/(2*sqrt(72)))\/(-4*sqrt(15)\/sqrt(3) + sqrt(5) - sqrt(35)\/sqrt(175)).\nAnswer: -5*sqrt(5)\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u**3 - u**2 + 3*u - 4. Let h be n(3). Let f = h - -253\/3. Let b = 223\/6 + f. Find the common denominator of b and 25\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**2 + 9*x - 6. Let f(v) = -v**2 - 3*v + 2. Let l(z) = -7*f(z) - 2*t(z). Is 4 a factor of l(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 z when three letters picked without replacement from {z: 4, m: 7, s: 2}?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = m - 2*j - 1, -4*m - 2*j = 10 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 211\/11 + (-7)\/(-33)*(-942)\/1099?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1116 = 6*o - 1236. What is the highest common divisor of 1230 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 500648, 2002575, 4505778, 8010251, 12515988, 18022983, 24531230, 32040723?\nAnswer: 40551456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u**2 - 3*u + 9. Let n(l) = -2*l**2 + 2*l - 4. Calculate -2*h(a) - 5*n(a).\nAnswer: 4*a**2 - 4*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 649910 is divided by 3532.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -3 - (2 - 0)) + 4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-5) - 5814\/(-255). Solve -8*l - q = 9 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a second in milliseconds?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -19, -1.\nAnswer: -19, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/11 and -64\/1015.\nAnswer: 11165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4527 = 537. Let w(i) = -6*i**2 - 23*i + 9. Let u be w(12). Let k = g + u. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 356831827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*q - 3*q + 2*q)*(q - 3*q + 0*q) - 4 + 4 - 4*q**2)*(-4 + 6 - 4)*(-209 - 203 + 872).\nAnswer: 1840*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1222.4 + -1228.4. What is the nearest to 2 in z, -2, 0.58?\nAnswer: 0.58","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4497 = 5*z + b, -z = b + 2*b - 891. What is the tens digit of (1737\/(-4))\/(z\/(-96) + 9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 219\/4, -11\/14613, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*r**4 + 10628*r**3\/11 - 42088*r**2\/11 - 234052*r\/11 + 1014\/11 = 0 for r.\nAnswer: -3, 1\/231, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -97 + (-16 - ((-59 - -8) + 0) - 17)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 - 4*z**2 + 3*z**2)*(6*z - 4*z**3 - 10*z + 5*z**3 + 4*z**2) + (-1 + 1 - 3*z**2)*(4*z**3 + 0*z**3 - 2*z**3).\nAnswer: -5*z**5 + 4*z**4 - 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*u = 5*g + 20, g = 2*u - 1. Let l = 1 - g. Suppose -3*i - 2*d + 19 = -d, l = d. Calculate the remainder when i is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 10*h. Let r be j(10). Let m be (58\/14 - 5)\/(1\/(-7)). Suppose 5*t = b + 6 - 3, 2*b = -t - m. Put -10, r, b in decreasing order.\nAnswer: r, b, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -6*k**3 - 7*k**2 - k + 17. Let r = 67 + -71. What is the tens digit of x(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 212?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 2*j**2 - 10*j - 8. Let s be i(-4). Factor -1\/7*a**4 + 0*a**2 + 0 + 0*a + s*a**3 + 1\/7*a**5.\nAnswer: a**4*(a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 557873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-2))\/3*-4. Let y(h) = 11*h + 11*h + 15*h + 10*h - 46*h. Let q(m) = m - 2*m - m + 0*m. Give r*q(j) + 7*y(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*d**5 - 11*d**4 + 4*d**2 + 19?\nAnswer: 840*d**2 - 264*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**2\/(q\/(q**(-2\/21)\/q)))**(-5))**(-12) assuming q is positive.\nAnswer: q**(-40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (63*i - 869*i**2 - 80*i + 16*i)*(-15*i**2 + 37*i - 37*i) in the form y*i + s*i**2 + j + k*i**4 + l*i**3 and give l.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**4\/11 + 2*r**3 - 6*r**2\/11 - 70*r\/11 - 4 = 0 for r.\nAnswer: -11, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/5)*w)**(2\/47)*(w**(-2\/5))**(2\/29))\/((w\/w**0)**(-7\/10)*w\/(w*w**(-8)*w*w)*(w**(2\/3)*w)\/w) assuming w is positive.\nAnswer: w**(-243713\/40890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 22*h**3 - 109*h**2 + 326*h - 1684. Give w(5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 - 3*g - 2. Let q be 6*((-38)\/6 + 5). Let b be q + 11 + (-3)\/(-3) + 1. Calculate p(b).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 6:02 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 53933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, v: 2}. Give prob of sequence vv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of 167*s**6\/60 + 135*s**3\/2 + 182*s**2. Differentiate a(n) wrt n.\nAnswer: 1002*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7909278 + -7909295.000085. Let d = h + 17. Round d to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 13, 0, 2, 40 in ascending order.\nAnswer: -4, 0, 2, 13, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -3*r**3 + 3147*r**2 - 281328*r + 6541392 = 0.\nAnswer: 44, 52, 953","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -125\/244 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -6881*g - 1128458. What is l(-164)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 25*v**2 - 50*v - 76. Let i be x(-23). Solve -38*t + 54*t = -i for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78746299 is divided by 832.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -9. Let o = -2.65 - -0.15. Let n = o + 2. Which is the closest to 1? (a) m (b) 2\/7 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2792902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 12, b: 1}. What is prob of picking 4 u?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -d**6\/40 + d**4\/8 - d**2 - 2. Let i(m) be the second derivative of z(m). Find the second derivative of i(y) wrt y.\nAnswer: -18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((576\/28)\/(-3))\/((-80)\/(-14) - 6). Sort -6, -3, -1, u in decreasing order.\nAnswer: u, -1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48007*t + 45848*t = 127381 for t.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 633 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210 is divided by 125?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 + -6450947\nAnswer: -6450946.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - n + 7 - 1 - 12.\nAnswer: -n - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14003628 and 32675132?\nAnswer: 98025396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*i - 4*i + i**2)*(2 - 1 - 5)*(2374 - 1116 - 1147) to the form a + z*i**2 + v*i and give z.\nAnswer: -444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14636 divided by 4.\nAnswer: 3659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 26840137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -463*t**2 - 8. Let r(g) = -25456*g**2 - 444. What is -4*r(k) + 222*s(k)?\nAnswer: -962*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 1 + 2*d - 4*d + d**2 - d + d**3. Suppose 2 = -2*q + 3*a - 2, -q = -a + 1. Let x(s) = -s**2 + s - 1. Calculate q*x(k) + m(k).\nAnswer: k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 9*p - 2. Let r(u) = -92976*u. Calculate r(o(z)).\nAnswer: -836784*z + 185952","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 4 + (-4 - -4). Solve 4*l + 3*h - 2*h - 1 = 0, l - m*h - 16 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**7\/(p**(-1\/6)\/p))**(-13\/7)\/((p**(2\/7)\/p)**3*(p*p\/(p**(-6)\/p)*p*p)\/(((p*p**(-4))\/p*p)\/p)) assuming p is positive.\nAnswer: p**(-1177\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.157516ml in litres?\nAnswer: 0.008157516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212 (base 4) to base 5.\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g**3 + 4*g - 4*g**3 + 5*g**3 in the form p*g**3 + f*g**2 + j + w*g and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8263066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 6832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 24 = 2*p + g, -2*p - 5*g = 7. Are -19 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5552 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 0 + -3 + 4841\/515?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 22 = 3*d - 2*y, 3*y = -d + 11. Is (d\/8)\/((-3)\/204) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48261889 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63103286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 6\/19 (c) -68669.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4531872.4 rounded to the nearest ten thousand?\nAnswer: -4530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 44109167653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 4 = -2, -n + 3 = -2*a. Suppose -q + 25 = 4*r, -5*q - 4*r = -0*q - 45. Let y(p) = p - 2*p + 2*p**3 - q*p**3 + 1 + 3*p. Determine y(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1876281 is divided by 20174?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 6*w**2 - w + 3. Let r be s(6). Let i = 0.2 - 0.1. Which is the nearest to 1? (a) i (b) r (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -13, 4, 54 in ascending order.\nAnswer: -13, -2, 4, 5, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dqqd when four letters picked without replacement from qqddqeelqqddqqqllql?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.01413 + -556.41413. Let g = -556 - h. Let k = 0.3 - -0.2. Put g, k, -1\/6, 1 in descending order.\nAnswer: 1, k, g, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275*h + 161*h = -73*h - 10180 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b**2 + 5*b - 5. Let d(n) be the second derivative of -1\/6*n**4 - 2*n - 3\/2*n**2 + 1\/2*n**3 + 0. Let a = -9 - -12. Determine a*s(h) - 5*d(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.055903 to three decimal places.\nAnswer: 0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60.894 + 0.106. Let y = 60 - i. Which is the nearest to y? (a) 1\/8 (b) -1\/4 (c) 0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/13 + 1308*q\/13 - 2608\/13.\nAnswer: -2*(q - 652)*(q - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 880, 0, 80321 in ascending order.\nAnswer: 0, 880, 80321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/301 and -71\/434.\nAnswer: 18662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5327140 to the power of 1\/3, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1036\/(-5180)*(1 + 23\/2).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/7))**4*y**(-4\/3)\/y*y*y*y**6*y*(y**(1\/2))**(4\/7)*y**5*y**(3\/8) assuming y is positive.\nAnswer: y**(2263\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1520 divided by -2.\nAnswer: -760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3811222202 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - ((0 - -1) + (-4)\/(-8)). Suppose 4*y - 13 + 5 = 0. What is m in 0 + t*m**3 + 0*m + m**y = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1608925 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 4 = 3*w + 3*c, w - 4*c = -13 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 243062129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*f**3 + 2 + 20*f**3 + 18*f**3 to o + g*f**2 + b*f + p*f**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -2. Let u = 0.59 + -0.86. Let k = u - -1.27. What is the closest to k in o, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -1\/3, 4817 in increasing order.\nAnswer: -1\/3, 1\/6, 4817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 6. Suppose -45 = -2*r + 5*p, -4*p + 79 = 5*r + 16. Let f(d) = -d**2 + 15*d + 4. What is the smallest common multiple of f(r) and z(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8433146248 rounded to five dps?\nAnswer: -1.84331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -3\/5, 1\/6, -3, -504?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 11. Suppose c = -c - b + r, c = b + 12. Let i = 47 + -22. What is the remainder when i is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 14) in base 13?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - 0) + 0 - -5. Let n = 6 - b. Let a be (1\/n)\/((-3)\/(-45)). Solve 17 = 2*d - d + 4*x, -d + 21 = a*x for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-5)*2)\/((-648)\/(-4860)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z + 27 - 56 - 31 = 0 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 16*l - 129. Let u(a) = 15*a - 86. Let p(z) = -2*s(z) + 3*u(z). Let b(h) = -6*h. Let i = -2 - 0. Calculate i*p(v) - 5*b(v).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/144 + -283\/720. Which is the closest to v? (a) 4\/7 (b) 10 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 4*y - 33, 4*d - 19 = 4*y + 29. Suppose d*x + 212 - 923 = 0. Let j = -64 + x. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 55 = 75. Calculate the remainder when 227 is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 0.009, 3, 1?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -988 and -41616064.\nAnswer: -41617052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 890247773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 418728669?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.583 * -45.\nAnswer: -116.235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + g + 3 = 0, 3*g = -2*g + 25. Suppose 2*i + 2*i - 3*z = 2, -i = -3*z + 4. Let m(c) = 4*c + 4*c**a - 4*c**2 - i*c**2. Determine m(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2721508, 2721503, 2721498?\nAnswer: 2721493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1515 and 70.\nAnswer: 21210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -5*u**3\/4 + 1478*u**2 - 135649*u\/4 + 26657\/2 = 0?\nAnswer: 2\/5, 23, 1159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44\/61 + 3968\/427. Let n = s + -225\/14. Calculate the common denominator of 58\/7 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -149, 26, 449, 1228, 2471, 4286, 6781?\n\"Answer: 18*i**3 + 16*i**2 + i - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15857?\nAnswer: 101, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pwp when three letters picked without replacement from {p: 2, i: 1, w: 4}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 222 and 226859802?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h**3 + 4*h**3 + 2*h**4 + (3*h - 3*h**3 - 3*h)*(3*h - 3*h + 5*h) to the form x*h + w*h**2 + l*h**3 + m*h**4 + n and give m.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r + 4*r + 0*r)*(r + 0*r + 3*r + (2 + 2 - 3)*(-3 + 2*r + 3) + 0*r + r + r)*(24*r + 30*r - 32*r) to d*r**3 + w*r + n + v*r**2 and give d.\nAnswer: 880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 4*o + 3. Let a be k(-3). Suppose m + 4*h + 10 = 0, -h = 5*m + 3*h + 2. Factor a*d**3 + 0*d + 0 - 2\/7*d**4 + 0*d**m + 2\/7*d**5.\nAnswer: 2*d**4*(d - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from opuuupouuuu.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7628?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j - 6*j - 2 + j + 2. Let q(l) be the first derivative of 1\/2*l**2 - 2 + 0*l. What is h(q(b))?\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.16 + 24.84. Let z = 27 - n. Do -1 and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (109 - -5) + 6 + (25 + -38 - -14).\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 5*q**2 + 7*q + 4. Let r be b(-2). Suppose s - 2*z - 8 = 0, 3*s = r*s - 4*z + 20. What is the lowest common multiple of 28 and s?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*b - 4*o, o - 2 - 10 = -4*b. Let d(y) = -5*y - 2. Let k be d(2). Put b, 1, k in descending order.\nAnswer: b, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 25*t + 54. Let p = 220 - 247. Let n be v(p). Let o(w) = -w + 2. Determine o(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 + (0 - (-3 + 14)) + 14\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23874114 - 0.0281.\nAnswer: 23874113.9719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 29\/5 of a milligram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.4 + 7.6. Let s = q - 14.1. Which is the nearest to 0.1? (a) 3 (b) s (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135652.\nAnswer: 2, 11, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k + 9*k - 20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 89359125 a multiple of 375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 9, u: 3, t: 2, q: 1, e: 4}. What is prob of sequence te?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -1 + 3 + -19 + 20?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 10:54 AM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sgpsspddpsddgsd. What is prob of sequence ps?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -7) + -19 + 10 + 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1559191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 7 = c, 0 = 2*l + 2*l - 4. Let n be 4 + -3 + c - 0\/(-1). Solve -m + n*m = -10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 183209 and 25415.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68, 16, -74, -202?\nAnswer: -368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 86 - 90 + 2*a - 133 + (4 - 2 - 3)*(2*a + a - a) + 1 - 1 - 4*a.\nAnswer: -4*a - 137","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 0, 5*u + 4*s - 1020 = 6*s. Suppose -11*x + 6*x - 71 = -m, 8*m - 4*x = 316. Calculate the greatest common factor of m and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67*s**3 + 99 - 44 - 60 to d + w*s + f*s**2 + p*s**3 and give p.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*b + 85. Solve -g = -12 + b for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.621897482 + -0.6219. Round b to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 32 + 78 = 13 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 16 - 16 + 24 - 52*q + 10. Is 18 a factor of z(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11367246509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4104.23 times 4?\nAnswer: 16416.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-10))\/(90\/(-75))*-12 + 101. What is the greatest common factor of 819 and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19b7 (base 16) in base 13?\nAnswer: -2cc5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-918)\/81)\/34)\/((-2)\/24*-6)*66.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3742 = -13*k - 24. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xexxexjexe. What is prob of sequence ex?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -143577, -143575, -143573?\n\"Answer: 2*z - 143579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -150, -220, -262, -270, -238, -160, -30?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 9440000 to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 807328.999 to the nearest one thousand.\nAnswer: 807000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -32*y**3\/3 + y**2 - 5*y. Does 13 divide h(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 81 = 3*r - 0*r, 3*r = 4*c + 88. Let j be 3 + -1*r\/10. What is the third smallest value in j, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 2. Suppose 11 = -f*p - 9. Suppose -2*i - 7 = -3*w, -10*w = -11*w - 2*i + 5. Sort w, p, -3.\nAnswer: p, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -424*j = -421*j - 6. Find the third derivative of -4*b**6 + b**5 + 206*b**j - 79*b**2 + 3*b**5 wrt b.\nAnswer: -480*b**3 + 240*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p - 3*p + 108 = -k + p, 792*p - 288 = 2*k + 800*p for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 77 + -79.8. Which is smaller: d or -1\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 119*1 + 1*-1. Let a be (-62)\/(-8) + -7 + (-121)\/(-4). Let g = j - a. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -1919326.\nAnswer: 3838652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 380?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/144 and (-30)\/(-390) + 43\/(-52) - 389\/(-132)?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2025)\/2010 + 1)*4?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3 (b) 76.8 (c) 0.2 (d) 15 (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mcmcxcc. Give prob of sequence mx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1)**(-3\/16) assuming f is positive.\nAnswer: f**(-3\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/6*3\/1. Let p(m) = -7 - 4*m**2 + 6*m + 3*m**2 + 2 + 2. Let f be p(z). Solve -f*r - 2 = 18 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -77 by -3.\nAnswer: 77\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 859\/3 - 14\/(-21). Let a = z - 190. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 13*j**2 + 10*j + 7. Determine b(14).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/15)*l*l*l**3 assuming l is positive.\nAnswer: l**(73\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 15496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 203*b**2 - 49*b + 5. Let a(x) = x**3 - 407*x**2 + 96*x - 7. Let f(v) = -3*a(v) - 5*n(v). What is the second derivative of f(g) wrt g?\nAnswer: 12*g + 412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 14.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 17. Let u(z) = z + 7. Let a be u(-5). Calculate the remainder when a\/c*(9 + -5) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.5222 times 1\nAnswer: 3.5222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 678 divided by -2\nAnswer: -339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -23 - 9. Suppose -f + c = 2*f - 2*r, 4*r = -2*f. Solve w + f*t - 16 = 5*w, 4*t - 16 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of 0 + 0*l - 4*l**2 + 1\/12*l**5 - 5\/6*l**3 - 1\/30*l**6 + 5\/24*l**4. Let t(k) = -k**3 + k**2 + k - 1. What is d(z) - 5*t(z)?\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b + 0*b**2 + 2*b**2 + 3*b to v + s*b + p*b**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g + 7 + 17 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1769 = 12*v + 509. What is the remainder when v is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.115 from 1958546271.\nAnswer: 1958546271.115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 40 = -0*u. Let v be (1 - -1)\/1*u. Suppose y = -3*y + v. 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 the hundred thousands digit of 9024701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/13 (b) -2 (c) -0.05 (d) 1 (e) -27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yppmp. Give prob of sequence pp.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -18.1. Which is the closest to u? (a) 3 (b) -0.1 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 5 + 24 = -16. Sort -1\/2, 0.5, -0.05, s, 0 in descending order.\nAnswer: 0.5, 0, -0.05, -1\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -2*v - 5*w, -4*w + 5*w = -v - 15. Calculate the common denominator of 30\/3*29\/(-12) and ((192\/v)\/(-2))\/(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w - 14*w**2 + w. Let d(n) = 21*n**2 + 5*n**2 - 25*n**2. Calculate d(k(z)).\nAnswer: 196*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9923*c - 118 = 9901*c + 84 - 4 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -9. Let m = x + 11. Let s = 8 + m. Which is the closest to -1\/5? (a) -4 (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**4 + 46062612*v**3 + 176813685355212*v**2 + 226236116244644792604*v.\nAnswer: 4*v*(v + 3838551)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 166*c - 140. Let t(k) = -41*k + 35. Let s(u) = -2*l(u) - 9*t(u). Let o be s(1). Solve -g = o*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4907*z**2 + 156*z**2 - 826*z**2)*(4 - 1 - 4)*(-z - 3 + 3).\nAnswer: 4237*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*(k**13*k)\/k*k*k\/k**(-1) assuming k is positive.\nAnswer: k**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 459 + -158. What is the highest common divisor of g and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/165 and (4\/99)\/(9 - (-1005)\/(-111)).\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 12 = 4*m. Let s be (-1)\/m - 19\/108. Which is smaller: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + 1 + -48 - -47.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(21)\/sqrt(7)) - ((sqrt(72) + 0)**2 - sqrt(72)).\nAnswer: -72 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 34 - 1 = 0. Let o(d) = 132*d**2 - d - 10. Let s be o(t). Let h = 11465 - s. Round h to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 + 8. Let d = x - -23. Let h(u) = u - 22. Let g be h(23). Which is the nearest to g? (a) -3\/7 (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**2 - 196*z + 396 = 0.\nAnswer: -198, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10*-60584\nAnswer: 605840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-10))\/(((-48)\/(-30))\/(-8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14, -6, 12, 46, 102, 186, 304?\n\"Answer: z**3 - z**2 + 4*z - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -213 - -218. Suppose -4*r + 9*r + 90 = 5*m, u*m = 3*r + 80. Calculate the remainder when m is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**4\/2 - 25971*d**3 + 3*d**2\/2 + 77914*d + 51942 = 0.\nAnswer: -51942, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 234 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1801813 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a century in months?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 3:07 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.37 + -4.63. Let r = -17 - -21. Which is the nearest to 0? (a) -2\/7 (b) v (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294*j + 148*j + 63*j = 32825 for j.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 62176435.01 rounded to the nearest ten thousand?\nAnswer: 62180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5383 or -13.2?\nAnswer: -5383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m + s + 62, 6*s + 20 = 2*s for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -490*p**2 + 237*p**2 + 242*p**2.\nAnswer: -11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286 - 932 = 1361*j - 1347*j for j.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 238865142 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*y + 3592 = -25*y + 779 for y.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f**3 - f**2 - f - 1. Let k be z(-1). Let h = 0 - k. List the prime factors of 1 + 1 + -1 - h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 m when two letters picked without replacement from {x: 4, f: 2, m: 1}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 1:42 PM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14.6946 + -17.6946. Let j = -726\/7 - -104. What is the nearest to j in -2\/7, r, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-88)\/((-64)\/8))\/1\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r + 2. Let n(g) = -g**2 + 4*g + 1. Let q be n(3). Let t(a) = 2 + 3 - q. What is -f(p) + 2*t(p)?\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -49*t**3 + 5*t**2 + 3*t - 15. Determine v(-2).\nAnswer: 391","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1641156*g + 412206 wrt g.\nAnswer: 1641156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -515.91 and 13165?\nAnswer: -6791955.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1891 = 298*s + 5169 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -110011000110100100 (base 2) to base 13\nAnswer: -74373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - (-15)\/((-10)\/(-2)))\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 578 = 3*v + v, q = -v + 146. Calculate the remainder when v is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.091 - -0.563?\nAnswer: 0.472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and 342.\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/15 + (36\/30)\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.06 - -0.46. Suppose -3*k + 9*k - 120 = 0. Let w be 15\/k - 0 - 2. What is the nearest to 5 in w, 3, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*u + 5, 4*z - 3*u + 0 = -3. Which is greater: z or 0.0267?\nAnswer: 0.0267","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-20)\/3 + 6)*(3 - 0). Suppose 5*i + 27 = -2*k, 3*i = 5*i + 4*k + 14. What are the prime factors of (-58)\/2*(i + m + 6)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence giya when four letters picked without replacement from iwgyaay?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 7*y**2 + 2. Let c be 66\/(-825) - (-4202)\/25. Let j = c + -161. Let s(b) = -b**3 - 3*b**2 - 1. Determine j*s(z) + 3*d(z).\nAnswer: -4*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 1444*q**3 - 82840*q**2 + 1266608*q - 2213408 = 0?\nAnswer: 2, 526\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4596708 divided by 40322\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 3:41 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1342 + -1147.8. Let b = c + -193. Let y be (-4)\/(-2)*2\/(-6). Which is greater: b or y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -0.61, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 0) + (-15)\/(-5). Suppose -w*k + 0*k = -24. Let d = 15 - k. Solve -2*h = -d*t + 11, 4*h + 0*t - 3 = t for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -214\/3, -2, -5, -0.5?\nAnswer: -214\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/(-90)*(-17585)\/(-3517).\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uovquouquo. What is prob of sequence vqu?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/15196 and -51\/13456?\nAnswer: 1762736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/2)\/(n**(1\/13)\/n)*(n**(-1))**(5\/2) assuming n is positive.\nAnswer: n**(-14\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -114*d**2 - 48*d + 136. Determine g(3).\nAnswer: -1034","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3743*d**3 + 3743*d**3 - 2*d + d**4 + 22*d**2 + 1 as t*d**4 + p*d**3 + s*d**2 + a + y*d and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 12*a - 10. Let o be j(10). Suppose 14 = 2*w + 4*c, 5*c = o - 0. Is w bigger than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b1 + 2?\nAnswer: b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -112, -348, -748, -1330, -2112, -3112, -4348?\n\"Answer: -3*d**3 - 64*d**2 - 23*d - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -b**4\/12 + 7*b**3\/6 + 3*b**2 - 14*b. What is o(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -26*m + 217. Calculate d(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -6*k. Suppose 2*g - 6*g + 8 = k. Let t = 15 + -5. Solve -g*c + 4*c - t = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of t**5\/60 - t**4\/24 + 2813*t**2 - t. Let r(z) = 10*z**2 - 9*z + 27. Give -18*l(p) + 2*r(p).\nAnswer: 2*p**2 + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4*340.2\nAnswer: 1360.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*w**3 - 32*w**3 - 138 + 138.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 35.1 in 0, 0.06, -1\/4, -0.01, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 186621, 373239, 559853, 746463, 933069, 1119671, 1306269?\n\"Answer: -2*p**2 + 186624*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -480.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.038 * -379.\nAnswer: -14.402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of 3*z**5\/20 + 3*z**4\/4 + z**3 - 4*z. Factor q(a).\nAnswer: 3*a*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -8*i**2. Let g(k) = k**2. Let f(t) = -56*g(t) - 6*l(t). Let q(m) be the second derivative of -m**3\/3 + 14*m. Give f(q(x)).\nAnswer: -32*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -69*d + 90*d - 105 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -65 - -59. Let j be d\/(-3) + 3 + -92005. Round j to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + q - 4. Let i be 21\/5 - (-24)\/30. Give u(i).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 167 = o + 80, 3*v - 2*o - 266 = 0. Does 8 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1652 a factor of 146689340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.7 - -2.6. Let h = -2.31 - -0.01. Let b = h + d. Do b and -1\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - -5 - (5 - 3). Let l(a) = a**2 - 7*a + 5. Let w be l(t). Solve 10\/3*d**3 - 2*d**4 - 2\/3*d + 2*d**2 + 0 - 8\/3*d**w = 0 for d.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -75 + 7. Let x = 137 + u. List the prime factors of x.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00049312 rounded to 7 dps?\nAnswer: 0.0004931","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6494196?\nAnswer: 2, 3, 53, 10211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, p: 1, a: 10, c: 2, z: 4}. What is prob of picking 1 a, 1 j, and 2 c?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -516*m = -540*m + 72 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 24*l - 38. Give t(4).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 2*r - 2. Let s be m(-4). Let c be 0 + s + 1 + -3. Suppose 9 = 10*b - b. Solve -c*w + b + 11 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-25)\/2 + (-60)\/120. Calculate the common denominator of w\/4 + (-1245)\/(-150) and -43\/70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 8*l**2 - 73*l - 2441. Is n(-80) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -1 + 3 + -3 - -10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, f: 2, l: 5, s: 5, z: 2, j: 2}. Give prob of sequence fz.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7568, 7544, 7546, 7586, 7676?\nAnswer: 7828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9457600 rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -4. Let o(k) = k**2 - k - 29. Let g(l) = -2*l**2 + 8*l + 92. Let i(d) = -g(d) - 3*o(d). Determine i(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1991682 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddr when four letters picked without replacement from rrqddqrdqqqrqq.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + 7*z - 1. Let o be d(7). Let h(a) = 3*a**2 - 1. Let t be h(o). Is 13 a factor of (-412)\/(-16) - t\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -854\/71 or -13?\nAnswer: -854\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135)*2*1)\/(sqrt(9)*1*-6))\/((sqrt(5) - sqrt(1125)) + sqrt(245)*-2).\nAnswer: sqrt(3)\/84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r. Let n(h) = 22818*h**2. What is x(n(q))?\nAnswer: -45636*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 18*g**2 + 25*g + 91. Let z be i(16). What is the nearest to -1 in 4, z, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75 - (-14 - (82 + 48))\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/(-6))\/(6\/(-8))*(-4)\/(-14). What is the fifth smallest value in -0.5, -3, -0.04, 3\/5, y?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 * -0.054104\nAnswer: -0.757456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**15)**(-4)\/(i**(-30)*i**(-28\/3)) assuming i is positive.\nAnswer: i**(-62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 2:30 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - y + 43 = 7*r, 3*y - 41 = -4*r. Let n be (-4)\/(-407)*r\/(-16). Let f = n + 43\/1221. What is the common denominator of 115\/12 and f?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 55, 115, 197, 301?\nAnswer: 427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006404 rounded to five dps?\nAnswer: -0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5081?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/108 and 137\/1668.\nAnswer: 15012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 53 - -2462?\nAnswer: 2515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 - -119?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -13*c**6\/5 - 31*c**2 - 29*c - 49. Let y(s) be the first derivative of k(s). What is the first derivative of y(h) wrt h?\nAnswer: -312*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 11892436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3478245?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -11, -4, -136 in increasing order.\nAnswer: -136, -11, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24354 + 24353.99985513. Round b to six decimal places.\nAnswer: -0.000145","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 0*l + 3*l)*(3 - 1 + 0).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.48 - -0.12. Let a = 0.59999892 - k. What is a rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*i - 52*i + 12*i - 257 + 11*i + 14*i as l + s*i and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 7. Solve 4*a = -f + 15, -2*a = -2*f - d*f - 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(133) - 1*sqrt(133)*-3 - (sqrt(133) + -2*sqrt(133)*6 + sqrt(133)))\/((sqrt(168)\/sqrt(4))\/sqrt(6) - 4*sqrt(14)\/sqrt(2)))**2.\nAnswer: -3724\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65561016?\nAnswer: 2, 3, 2731709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-60)\/(-117) + 6\/(-9). Suppose 324 = 2*l - 4*l. Let b = l - -1945\/12. What is the nearest to -1 in z, 2, b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 187455002 by 13389643.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -6*a - 13. Solve -2*j + 3 = 3*h, 0 = -5*h + 3*j - 4 - a for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -645, -11683, -33109, -64923, -107125, -159715, -222693?\n\"Answer: -5194*c**2 + 4544*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**5 - 36*c**4 - c**3 + 78215*c**2?\nAnswer: -120*c**2 - 864*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 - -9. Calculate the highest common divisor of 6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 5*z - 10 + 410, -t + 3*z = 76. Let l = -57 - t. Solve -a - l = 4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 135 - 95. Suppose h = -0*w + 5*w. What is the remainder when 23 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.39 - -1.09. Let a = -5.2 - f. What is the second biggest value in -3\/5, -2\/9, a, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 279 - 274. What is the biggest value in k, 0, 7\/5, -2\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -200020?\nAnswer: 200030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -232*p**3 - 230*p**3 - 925 + 701*p**3 - 228*p**3 + 925.\nAnswer: 11*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 56, 98, 158, 236?\nAnswer: 332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-1))\/((-2)\/(-3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 22 - (6 + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-115*l - 398 - 397 + 795)*(110 - 106 + 59) as m*l + o and give m.\nAnswer: -7245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 80.101072 to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -3728?\nAnswer: -18640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i + 2. Let h(a) = -739668*a. What is c(h(p))?\nAnswer: -739668*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 613? (a) -1\/3 (b) 1 (c) -5 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 559853+-39975027.8\nAnswer: -39415174.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/70 + (463644\/(-4770) - (-3 + -1))?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33021030 - -11?\nAnswer: 33021101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6714 - 4?\nAnswer: -3.3286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1046894 by 17.\nAnswer: 61582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**3 - 112*m**2 + 40*m - 116. Let p be z(37). Sort 1\/3, 53\/3, -0.4, p, -1\/2 in descending order.\nAnswer: 53\/3, 1\/3, -0.4, -1\/2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s - 18. What is x(-11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2616 - -2615. Sort -17, 1, w.\nAnswer: -17, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 113 and 33.\nAnswer: 3729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 110644?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 26*a**2 - 49*a - 27. What is z(24)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 120 = -4*u - 4*d, -60 = -2*u - 4*d. What is the highest common factor of u and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -15, 2, 25, 54, 89, 130?\n\"Answer: 3*n**2 + 8*n - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, l: 1, q: 9}. Give prob of picking 1 o and 1 q.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10911?\nAnswer: 3, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/8*-45*884\/(-663)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-4\/15)\/a)\/a)\/a)\/a**(-20)*(a\/a**12*a)**(-1) assuming a is positive.\nAnswer: a**(401\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/19)*(z*z\/z**10)\/z)\/(z**(-1\/5))**(-43) assuming z is positive.\nAnswer: z**(-1677\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12200020233 + -11?\nAnswer: -12200020310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 - (4 - 5)) + 7 + (8 - 8).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a gram in milligrams?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/193 in -1\/9, 3\/2, 42?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3)*b**(-3\/5)*b**(-6)\/(b**0\/b))\/((b**(-1\/4))**29\/(b**0\/((b\/(b*b**(2\/21)))\/b*b))) assuming b is positive.\nAnswer: b**(-527\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1152154068 to the nearest integer?\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -19*p - 34. Let i be q(-2). Solve 0 = -4*y + i*r + 20, 0 = -3*y - r - r - 10 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -4*i**3 + 3*i**2 + i - 4. Let f be s(1). Let n(p) = -p**3 + p + 6. Let t be n(0). What is the tens digit of (t\/f)\/(42\/(-560))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*n + (-n + 2*n + n)*(-5 + 3 + 1) + 2*n - 3*n + 2*n + (2*n - n + 3*n)*(-1 - 2 + 1 + (3 - 1 + 1)*(-4 - 2 + 3)).\nAnswer: -47*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-3 - 3)) + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 m when three letters picked without replacement from {a: 6, p: 1, m: 4, l: 3}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 63 = 5*p - 298, 0 = -3*w. Let a(b) = b**3 - 27*b**2 - 175*b - 25. Let o be a(-5). Which is smaller: p or o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -10123?\nAnswer: -10123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**3 + 472*k**3 + 1333*k**3.\nAnswer: 1808*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*g**3*z - g**2*z**3 + 4*g**2*z**2 - 2*g**2 + 63*g*z**3 - 81*z**3 wrt g.\nAnswer: -120*g*z - 2*z**3 + 8*z**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pzk when three letters picked without replacement from kgpbpgbpzzpkbbgz.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 374007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.03 - -0.18. Let p = -2.85 - n. What is the second smallest value in p, -0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - 0.0368.\nAnswer: -3.0368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -31*g - 34. Is y(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 30*i**3 + i**2 - i. Suppose -4*c - 4 = 4*d, d - 2*c + 3 - 8 = 0. Let l be q(d). Solve 15 = u - 4*h, -3*h - 2*h = u + l for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/18 + (-7)\/(-9). Let a = 1 - 2. Let r = 1917 - 1916.5. What is the nearest to 2\/9 in a, z, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + k + k)*(689 - 8922 + 3554) + 2*k - 2*k - 2*k.\nAnswer: -9360*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4500\/96623 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*q + 3 = 24*q - 4*i, -13 = 3*q - i for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5428538457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.089 and -16597.\nAnswer: 1477.133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 8 + 0 + -9 + (0 - -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (0 + -12 + 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 14, 0, 2696?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 4 + 24 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**4 - 579*d**3 - 19149*d**2 - 18573*d = 0.\nAnswer: -151, -41, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2876?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 less than -11.9?\nAnswer: -68.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8148296 and 36049.\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - -6) + (-203)\/21. Let h = 0 - 0. What is the fourth biggest value in h, -5, z, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(1\/11)*l*l)\/l)\/l*l\/l**(1\/21))\/((l\/l**19)\/(l\/(l*l\/(l*l\/(l*(l\/((l\/l**(-28))\/l))\/l))))) assuming l is positive.\nAnswer: l**(10867\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6851 - 6838. Suppose 3*m - 78 = -2*m + 4*r, -5*r + 33 = m. Suppose -4*n - s + m = 0, 0*n - n = -3*s + 2. Solve n*j = -v + c, 2*j - v - 3 = 2*v for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4 = 5*k - 4*a, 4*k - a = -4. Let l(r) = 3 + 1 + 22*r + k. What is the tens digit of l(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggoz. Give prob of sequence gg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*c - 25*c + 30. Suppose 0*a - c*a + 37740 = 0. Is 74 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + 0. Suppose -2*v = 2*b, 1 = -4*v - 5*b - 0. Let t be 9 - (20\/(-5) + v). Calculate the highest common divisor of t and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 29 = 5*o. Which is greater: o or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128711573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222231132 - -221?\nAnswer: -222230311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 6:44 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 3*h + 4, 31*n = 35*n - 2*h - 8. Sort 1, n, -5, -2120 in descending order.\nAnswer: n, 1, -5, -2120","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13558.\nAnswer: 2, 6779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42.0754 + -0.0246. Let b = -22.298 - g. Let p = -19.6 + b. Round p to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 128 + -46. Let j = -84 + b. What is the units digit of ((-11)\/j)\/(20\/120)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193881 is divided by 148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 178*g - 4 - 190*g - 2 - 11.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -40273773 divided by 6\nAnswer: -13424591\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**3 + 112864*v**2 + 1353536*v - 7220224 = 0 for v.\nAnswer: -28204, -16, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qyyq. What is prob of sequence qqy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**3 + 2*l**3 + 0*l**3 + (-3*l - 2*l + 7*l)*(0*l**2 + 0*l**2 - 2*l**2))*(163*l**2 - 120 + 120).\nAnswer: -326*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5894?\nAnswer: 2, 7, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**5 + 119*k**4 - 3712*k**3 + 10092*k**2.\nAnswer: -k**2*(k - 58)**2*(k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.5832 - 2.0832. Put 2\/7, -1\/4, 2\/1275, 1, q in descending order.\nAnswer: 1, 2\/7, 2\/1275, -1\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 354655423*c**5 - 470310771*c?\nAnswer: 7093108460*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 213 = p, p = -2*u + 15 + 183. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (-4)\/(-3)*(-97314)\/7203?\nAnswer: 2\/147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*s + 24*s + 5*f + 25 = 0, -4*s + f + 29 = 0. Solve -8*h + 21 = -10*h - s*j, -23 = h + 5*j for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2425 divide 1713122344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 286 - 82. Suppose 724 = 2*f + u. Let w be (f\/30)\/(2\/3). What is the greatest common divisor of w and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 m when three letters picked without replacement from {m: 2, z: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 618\/15227 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -5*l - 6*x + 520, -3*l + 292 = 8*x. Calculate the greatest common divisor of l and 2187.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 1880 = c, 4*c - 9*t + 7545 = -14*t. Let n be 10\/3*(-29)\/(c\/6396). What is the highest common divisor of n and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 454 - 459 - (2 - (-2 - -2 - -13)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/243 and 3\/((-2673)\/13772) - -16.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 146*u**2. Let o(l) = -3*l**2. What is o(z(t))?\nAnswer: -63948*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -529*j**2 + 2*j + 6. Let s be m(-2). Is 171\/228 + (-2)\/(16\/s) a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8247.334 litres to millilitres.\nAnswer: 8247334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68, 375, 1202, 2807, 5448?\nAnswer: 9383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 t when four letters picked without replacement from eeeeteteeeeeeeeeee.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6532*z**4 + 1607*z?\nAnswer: -78384*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13.3 + -6.6. Let h = n + -11.4. Let f = -4.69999977 - h. What is f rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q - 2*q + q)*(-q - q + 3*q) - 9013*q**2 + 424 - 1360*q**2 - 194 - 230 as v*q**2 + u*q + w and give v.\nAnswer: -10375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 - -638.\nAnswer: 652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-20) - 12\/(-5). Suppose -5*b = q*d - 65, -3*b + 39 = -2*d + d. Let k(l) = l - 13. Let i be k(b). Solve 0*y + y = i for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.1897556 kilograms?\nAnswer: 189755.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1011 divide 1135687214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5*x - 8. Let n(r) = -r**2 - r + 1. Determine -j(m) - 5*n(m).\nAnswer: 5*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 4*r + 16, 0 = 4*r + 6 - 2. Let w(n) = -n**2 - 2*n + 2. Let h be w(-4). Calculate the remainder when c is divided by 1\/(-2) - 27\/h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -339160771 - -1022400771. What is r rounded to the nearest one million?\nAnswer: 683000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -10*(-4)\/(-10)*-1. Suppose -4*j = q - 429 - 1027, 5*q = 5*j - 1820. Suppose -182 = -2*n - 2*c, -3*c = s*n - 2*c - j. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**2. Let c = 17 - 94. Let k = 95 + c. Let x(r) = k*r**2 + r - 13*r**2 - r. Determine v(x(q)).\nAnswer: -50*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 4573*y**6\/120 - 177*y**5\/20 + 2*y**3\/3 + y**2 + 650. What is the third derivative of w(l) wrt l?\nAnswer: 27438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.6 + 0. Suppose v + 11*y - 16*y = -11, v + 3*y = 5. Which is the closest to v? (a) 0 (b) 0.5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 0*t = 0. Let g = 234 + -239. Sort g, t, 4 in descending order.\nAnswer: 4, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of o**8\/168 + 2*o**7\/105 - o**5\/15 - o**4\/12 - o**2 + 5*o. Let k(w) be the first derivative of b(w). Factor k(t).\nAnswer: 2*t*(t - 1)*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -31 or 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 41.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 2. Suppose 4*j - 5 = -j - 5*q, 5*q = -s*j + 5. Suppose j = g - 0 + 1. Sort g, -2, 5 in decreasing order.\nAnswer: 5, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p + 2. Let b be o(6). Suppose 3*y = -3*j + 6, -3*j + y = -7*j + 23. What is the highest common factor of b and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3793716 - -187.\nAnswer: 3793903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 61 = -284. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(((-28)\/(-8) - 3) + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 8*y**2 - 6*y + 6. Suppose 3*k + 3 + 2 = f, -5*k - 12 = 2*f. Let j(l) = 8*l**3 - 2*l - 1. Let s be j(f). What is a(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0494 + -0.1494. Let z = 5 + -2. Let h be z\/12 + (-50)\/136. Which is smaller: h or b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(5)*2 + -2)*-6)**2*-4.\nAnswer: -12096 + 2304*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l. Let n(w) = 9*w**2 + 7*w - 7. Let h(q) = 4*q**2 + 3*q - 3. Let p(a) = -4*a**2 + 2. Let f be p(2). Let y(m) = f*h(m) + 6*n(m). Calculate y(d(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2*p**4 + 4270*p**3 + 90258*p**2 + 633178*p + 1479016 = 0.\nAnswer: -7, 2156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6695, 13424, 20153?\n\"Answer: 6729*g - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 7*p**2 + 2*p - 1. Let l be (-8)\/(-3)*(-18)\/(-8). Let c be y(l). Suppose 4*s - c - 189 = 0. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/(-5)*(2 + -1). Differentiate 1 - 7 + 6*r - d + 14 wrt r.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 156 and 6.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in 5, 351, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2315*m = -2304*m + 132 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1953179 to the nearest integer?\nAnswer: 1398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-1)*758 - -4. Let h = -539 + x. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -7, -14, -21, -28, -35?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 378 divided by 54?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/((-90860)\/(-720))*-3*(-55)\/30?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - 5\/((-5)\/13). Solve 4*x = -3 - l for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-11\/2)\/m**(-32)*(((m\/(m**(-3\/4)*m*m))\/m*m)\/m)**(-17) assuming m is positive.\nAnswer: m**(191\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 3. Let h be k(0). Calculate the remainder when 30 is divided by -2 + (-2 - -15) + h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g**2. Let k(j) = j**2 - 30*j - 34*j - 40*j - 14 + 104*j. What is k(b(l))?\nAnswer: 9*l**4 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-672)\/480 - 2*(-448)\/490?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 0) + (-405)\/945 - (-81)\/21. Factor 0 - 27\/7*c**3 + s*c - 102\/7*c**2.\nAnswer: -3*c*(c + 4)*(9*c - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 39101806, 78203615, 117305420, 156407221, 195509018?\n\"Answer: -2*h**2 + 39101815*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eaeeegeeeeeeeeee. What is prob of picking 1 a and 3 e?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1.41509*102\nAnswer: -144.33918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/3 + 8\/(-6). Let d = -525 - -481.1. Let o = 44 + d. Which is the closest to 2? (a) o (b) -1\/4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45230047.1 + -45230115.0999897. Let u = i + 68. Round u to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3 + 7*p + 58*p + 4 - 3. Let f be w(1). What is the remainder when 14\/f + (-100)\/(-36) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 560.2 - 560. Which is the third biggest value? (a) -5 (b) -1 (c) 0.3 (d) -1\/23 (e) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 195, 467, 863, 1389, 2051?\nAnswer: 2855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -16*c + 17*c + 15, -5*g - 51 = 4*c. Let o(r) = 2*r + 12. Give o(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 0.0693, -0.17?\nAnswer: 0.0693","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17278, -18263, -19262, -20281, -21326?\nAnswer: -22403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44211 = 140*x - 323931. Is 1999 <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24 - (-7 - 20)) + -41\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 508651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 + -3 + -2)\/(-2 - -1). Which is the nearest to q? (a) 5 (b) -0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.23 - -0.23. Let n = 0.2 + -3.3. Let u = n + 3. What is the closest to u in -0.4, 0.4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -148564702 divided by 2\nAnswer: -74282351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 9:50 PM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 804 divided by 201\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmj when three letters picked without replacement from {j: 2, m: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 332 and 1216.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*-2*3\/12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -610, -0.2, 1\/3.\nAnswer: -610, -0.2, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5*x + 30 - 2 = 0, -4*x = 3*b - 28. Suppose 0 = -3*f + b*w - 5*w + 2703, 2*w = f - 894. Round f to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 13*a - 126. Let n be x(10). What is the fourth smallest value in -0.5, n, 0.5, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n = 14*n - 5*y + 131586, 3*y = 4*n - 263224. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.39 - 0.3899715. Round g to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5741 and -13.\nAnswer: 74633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25 and -4.864.\nAnswer: 121.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n**3 + 1 + 4*n**3 + 421*n**2 - 419*n**2 - 2*n. Suppose 4*u = 2*g + 10, -u - 5 = -2*g - 2*u. List the prime factors of l(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.031931 to 3 dps.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1446545913?\nAnswer: 3, 482181971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l - 2*l**2 + l + (20*l + 42*l + l)*(-1 + 1 + l) to the form w*l**2 + g*l + s and give w.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 9:54 PM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 160097948 and 530.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 3*z**2 - z - 3. Give t(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 5a804?\nAnswer: 5a806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -7*s**2 - 36*s + 2. Let k be v(-5). What is the greatest common divisor of k and 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 - -0.4805706?\nAnswer: -41.5194294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -9*b**2 - 6*b. Let i(q) = -17*q**2 - 11*q. Let t(d) = 6*i(d) - 11*z(d). Let o(l) = -4*l**2. Give t(o(k)).\nAnswer: -48*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40639 - 23845. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66172 divided by 16543.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1833.59 - -22.41. Let q = j + -1856.200064. Let o = q + 0.2. Round o to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 750736159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -934.74 + 935. Sort 0.3, c, -9 in descending order.\nAnswer: 0.3, c, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-75))\/(108\/25110)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -125404 (base 14) to base 10\nAnswer: -629164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*k - 10. Suppose 3*i = 5*q - 38, -3*q + 13 = 5*i - 3. Let r = k - q. Solve -z - 6 = -r for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 152*u**4 - 75*u**4 - 5*u**2 - 11*u**3 - 30*u**2 - 25*u - 78*u**4 = 0?\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-3)*(-4)\/(-72)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*o + 90*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4223 - -10?\nAnswer: -4213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a**2. Suppose u = 1011 + 688. Let g(y) = 1699 + 18*y - u. Determine x(g(l)).\nAnswer: -972*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -23170 divided by -2\nAnswer: 11585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 329107126 to the power of 1\/2, to the nearest integer?\nAnswer: 18141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 2 + 2062*z**4 - 15*z**3 - 2064*z**4 + 4*z to w*z**4 + c*z**3 + x*z + j*z**2 + n and give c.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 115488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -36 and 0.466001.\nAnswer: -16.776036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -95*y - 11 wrt y.\nAnswer: -95","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/108)\/(-1)*32\/12.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109537?\nAnswer: 109537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134614, -138465, -142316, -146167, -150018, -153869?\nAnswer: -157720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 640220 and 298590.\nAnswer: 71064420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/(-2) + (0 - 2). Let n be 2\/m + (-12)\/15. Let i(l) = -4*l + 15. Let f(h) = -4*h + 20. Let o(q) = -3*f(q) + 4*i(q). Give o(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -18.9. Let v = -4 + 8. Let i = 4.4 - v. Which is the nearest to 1\/2? (a) u (b) -0.4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157106 is divided by 280?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 1019*l - 1017*l = 0, 0 = 2*l + 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4464*b**5 + 36912*b**4 - 180836*b**3 + 221072*b**2 - 87920*b + 4800 = 0. What is b?\nAnswer: -12, 2\/31, 5\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 18*p - 29. Let o be s(-16). Is (-18)\/12*(-586)\/o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53100 = 3*k + 5*x, 3*k - 72*x = -71*x + 53100. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2720 - -3096. What is the remainder when u is divided by 355?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c6ca3 + 23f?\nAnswer: -c6a64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1516 is divided by 80.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 93 + -96. Which is the third smallest value? (a) i (b) -5 (c) 2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 3 + 2)*(-27 + 27 + 2*s) + 5 + 5*s - 5 + (0*s + 0*s - s)*(1 + 1 - 3))*(1 - 2 - 2).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7888937\/108 - 73045. Find the common denominator of f and -109\/72.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/45 of a hour?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 1 = 3*h - 32, -2*h + 3*q + 46 = 0. What is the remainder when h is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n - 1. Let h be x(3). List the prime factors of ((-86)\/h)\/(1\/2).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19087 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18672 and 49948767.\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/4))**15\/(t**(3\/11)*t*t**2) assuming t is positive.\nAnswer: t**(-309\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 312 (base 9) in base 13?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12920 + -8497. Calculate the remainder when q is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -26. Let u(g) = -4*g. Let h be u(r). What is the tens digit of (-9)\/(27\/h)*-9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 16 = 8. Suppose -3*o + 28 = -5*q, -3*o - q = 2 - 0. Let f be 3\/t + -1*o. Which is the second biggest value? (a) f (b) -0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 40 in 0.4, 0.5, -0.13, 0.84, -5?\nAnswer: 0.84","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 greater than or equal to -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/4))**(-1\/23))**(-42) assuming m is positive.\nAnswer: m**(21\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, r: 2, k: 4, j: 1, m: 3}. Give prob of picking 1 r, 1 j, 1 k, and 1 m.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 a when two letters picked without replacement from {a: 7, e: 1, m: 2, c: 2, j: 4}.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (3 + (7 - 7)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2130553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, q: 1, y: 4, n: 5, k: 1}. Give prob of sequence qly.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/10*(-2 + 0). Put a, 4, 0.2, 2\/13 in increasing order.\nAnswer: 2\/13, 0.2, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(2448) + -1 + sqrt(2448))**2 + (-1 + sqrt(2448))*-4 - ((sqrt(2448) + -3)*-2 - (1 + sqrt(2448))*2)**2.\nAnswer: -29363 + 96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 - 2*r**2 + r**2)*(0*r + 0*r + 2*r**3) - 8590*r**5 + 8280*r**5 + 0*r**3 + r**3.\nAnswer: -312*r**5 + r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 o, and 1 i when three letters picked without replacement from {o: 5, w: 13, u: 1, i: 1}.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 19 + (-94 + 33 - 0).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*r - 29 = 0, -t = -3*t - 3*r + 4. Suppose i = t - 17. What is the remainder when 77 is divided by (i + -3)\/((-15)\/20)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 545 and 397.51432?\nAnswer: 147.48568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 339*i - 344*i - 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence txg when three letters picked without replacement from hhhhhthxghhth.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-90))\/(1 - 6\/8). Put c, 0, -5 in decreasing order.\nAnswer: c, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.4, 0.2, -0.5, -0.067?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1807\/19194 - -1\/914. Sort 0.3, b, -3, -10\/7.\nAnswer: -3, -10\/7, b, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 3*p + 3*p)*(2 + 2 - 7).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**5\/7 - 53*v**4\/7 + 42*v**3 - 572*v**2\/7 + 376*v\/7 = 0.\nAnswer: 0, 2, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1239454, 1239451, 1239448, 1239445, 1239442, 1239439?\n\"Answer: -3*f + 1239457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3069254 divided by -35689\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*m + 11*m + 4*m)*((4 + 0 - 3)*(7 - 2 - 3) + (-1 - 2 + 1)*(-5 - 4 + 5)).\nAnswer: 30*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0.3 (c) -252 (d) 1.1 (e) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/2)\/(-2 - -3). Suppose b = -0*b + o. What is the second derivative of -18*s - s**b + 22*s + s**2 + 5*s**4 wrt s?\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of q**5\/20 + q**4\/24 - q**3\/2 + 11*q**2. Let t be j(3). Is 28 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2\/5, -1\/570, 1\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -138875068\nAnswer: 1\/34718767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9 + 1)*14\/(-28). Let l(i) = 4*i + 2*i**3 - 5*i - i - 2 + r - 4*i**2. Let y = -3 + 6. Determine l(y).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 593211071 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -11*m**2 + 2*m - 982. Let o(g) = -13*g**2 + 2*g - 984. Give 5*o(f) - 6*w(f).\nAnswer: f**2 - 2*f + 972","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -409 = -10*c + 141. Find the third derivative of -8*i**4 + 2 + 226*i**2 - 227*i**2 + 1 + c*i**4 wrt i.\nAnswer: 1128*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69954.8 grams to nanograms.\nAnswer: 69954800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 + -56.2. Let j = d - -10. Let z = j - -0.1999996. What is z rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226424 is divided by 1826?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 6:02 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -364*p + 144655. Determine s(396).\nAnswer: 511","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3ca1 (base 14) in base 9?\nAnswer: -15636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*g + 2*g - 2*g)*(3*g**2 - g**2 - g**2) + (-3*g**2 + 0*g**2 + 4*g**2)*(-2*g + 0 + 0) in the form t + d*g + j*g**3 + v*g**2 and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.78 take away 15?\nAnswer: -14.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1547275 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4*(sqrt(1300) + sqrt(1300) + 0)*5 + (-1*(sqrt(1300) + 0) - (3 + sqrt(1300) + 0)).\nAnswer: -6 + 380*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.10284 - 1.10284. What is the nearest to -4 in -3\/4, 3, o, 135?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(63) + (-4*(1 + sqrt(7)))**2 - (sqrt(70) + (1*sqrt(70) - sqrt(70)))\/sqrt(10)*3.\nAnswer: 35*sqrt(7) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 0*w + w)*((3*w - 5*w - 1 + w)*(w**3 - 2*w**3 - 2*w**3) - 3*w**4 + 3*w**4 + 2*w**4).\nAnswer: 10*w**5 + 6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 945105 and 1575175.\nAnswer: 4725525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 2 + (-5 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.671 rounded to 1 decimal place?\nAnswer: -5.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of 3*n**2\/2 - 4*n - 12. Let l be z(2). Which is the nearest to l? (a) 3 (b) -2\/9 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*h**3 - 4\/7*h**2 - 2\/7*h + 4\/7.\nAnswer: 2*(h - 2)*(h - 1)*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1915012?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 37775593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 943 - -c?\nAnswer: 952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6*33\/(-24) - (-10)\/(-600)*15\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.69 + 6.61. Let v = -7.4 + i. Which is the third smallest value? (a) 2\/21 (b) v (c) -3 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2033 and -3.\nAnswer: 0.6099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 801*w = 499*w + 406*w - 1335 - 17 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 203 * 68158.\nAnswer: 13836074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 37389 (base 13) to base 14\nAnswer: 290b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**4 - 10*t**3 - 7*t**2 + 90*t + 144 = 0?\nAnswer: -8, -3, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 (base 15) in base 2?\nAnswer: 100010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than -9.5892?\nAnswer: -10.0892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**2 - 113*i - 3 + 113*i)*(-1853*i**3 - 2145*i**3 - 847*i**3 + 416*i**3 - 1108*i**3).\nAnswer: -22148*i**5 + 16611*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*s + 21 - 5 = 0, 3*v + 4*s - 26 = 0. Let c be (8\/(-12))\/(v\/(-105)). Let t be 6\/15 + (-36)\/(-10). Solve -c = t*p - 5*x, 2*p + 29 = 4*x + 7 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3140 (base 5) to base 13\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6516051378 to the power of 1\/3, to the nearest integer?\nAnswer: 1868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -16. Suppose 4*a - 4622 - 7338 = n. What is a rounded to the nearest one hundred?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 4:05 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 34904 + 5 + -7. Round b to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a - 30. Let l be j(25). Suppose 0 = -4*m + l + 139. Calculate the highest common divisor of m and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -87*j**6 + 170*j**2 wrt j?\nAnswer: -10440*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1956 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -20491*h - 368834. Give p(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 471.9404 grams to micrograms.\nAnswer: 471940400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2009*i - 245. Let y(h) = -49*h - 6. Determine 6*f(w) - 245*y(w).\nAnswer: -49*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 25.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 433 + -428 - (5 - (0 + 0 + -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 158\/(69520\/(-4510)) - ((-6)\/(-3))\/(-8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 447? (a) 8 (b) 0.4 (c) 1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 55394 = -4*v - 3705, -4*v - 20698 = -2*t. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-9))\/(4*5\/120)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -648, -2573, -5780, -10269, -16040, -23093, -31428?\nAnswer: -41045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -76149, -152088, -228027?\n\"Answer: -75939*a - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7188.13um in millimeters?\nAnswer: 7.18813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 761906 is divided by 577?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/47687584 and -109\/126.\nAnswer: 429188256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -2, 9 in descending order.\nAnswer: 9, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = -4*r - 104. What is the greatest common factor of 65 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a meter in millimeters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8769.47 grams?\nAnswer: 8769470000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/(-5) + (-2)\/(-5). Is 2\/(y\/(-1)) - -75 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + 1. Let d be -3*(-1 + (-33)\/a). Let j be -18*1\/(-2)*14. What is the greatest common divisor of d and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15648385.15 to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3859, -7720, -11581?\nAnswer: -15442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 85 = 5*t + 68, -t + 21 = -4*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36422 is divided by 2566.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 8 = -0*b. Let c(n) = -2*n + 7*n - n**2 + 3 - b. What is the units digit of c(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.110292 - -3192.8?\nAnswer: 3192.910292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 42?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-4)\/(-48)*-2)*179\/(-2864).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + sqrt(3) + 4)*-2.\nAnswer: -18 - 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 10 + (-3 - 1) - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1499*o**2 - 103424*o - 323777825 wrt o?\nAnswer: -2998*o - 103424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 5*u**2 + 8*u - 7. Suppose -d + 3*s = -17, -2*d - 23 = -6*d - 3*s. Suppose d*j = 7*j - 10. Let v = j + 16. Give l(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 535 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4640.38 centimeters in micrometers?\nAnswer: 46403800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2.1501*-275\nAnswer: -591.2775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 2, -15, 0.058?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 7*x + 7. Let v be (16\/32)\/((-2)\/(-144)*1). Suppose -2*l - 2*l = 4*u + v, 3*l = -5*u - 31. Determine r(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23493 + 12023 - 39180 = 5087*a + 132482 for a.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 2\/19 (b) -5 (c) 1 (d) -11 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (33\/(-44))\/((-1)\/4). Solve i*r + 3*k - 27 = -r, 4*k = 20 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + y**2 - 2*y)*(4 - 4 + 2*y) + y**3 - 4*y**3 - 7*y**3.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2 + (((sqrt(153) - (sqrt(153) - 2*sqrt(153)))*-5)\/sqrt(9))**2 + 5.\nAnswer: 1707","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**2 - 307816*r - 8310303 = 0.\nAnswer: -307789, -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 304*g**3*r**6 + 14407*g**3*r**3 - 2946927*g**3*r**2 - 36*g**3 wrt r?\nAnswer: 36480*g**3*r**3 + 86442*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 40*h**2 + 149*h + 390. What is k(-39)?\nAnswer: -3900","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5*c. Let q(j) = -j**2 - 60*j + 2127. Let y be q(-85). Let d(i) be the second derivative of 0*i**y - 2*i - 3\/2*i**3 + 0. What is r(d(w))?\nAnswer: 45*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nmmn when four letters picked without replacement from mnnnmn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 96403378661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7 + -8)\/(3\/4 - 1). Let h(p) be the second derivative of 1\/12*p**4 - 2\/3*p**3 + o*p + 2*p**2 + 0. Factor h(i).\nAnswer: (i - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -18. Suppose -g = -4*l + 24, -l - 3 = -3*g + i*g. Is 4 a factor of 15\/4 - 1\/g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (19 + 3 + -6 + -4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*k**4 + 333*k**3 - 2*k**4 - 340*k**3 + (-17 + 17 + 5*k)*(2*k**3 - 2*k**3 - 6*k**3).\nAnswer: -26*k**4 - 7*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 430 - 220. What is the greatest common factor of v and 546?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12*-10*(-2)\/(-45))\/(6\/9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - 63*(-1530)\/(-4200).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 6*v - 3. Suppose -2*k + 5*w + 35 = -0*w, k + 5*w + 20 = 0. Let b be a(k). Calculate the remainder when 18 is divided by (-1)\/b + (-21)\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 3725827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -129 - -298. Let q = 132 - k. Let y = q - -37.24. What is y rounded to two dps?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*x = -0*x - 48*x + 1128 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7083, -14029, -20961, -27879?\n\"Answer: 7*k**2 - 6967*k - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 287 divide 12931072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-39 - (-32 + 5) - (-1 - 59))) + -9.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2220221002 (base 3) in base 4?\nAnswer: 32003003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20589*y**2 + 9 + 20592*y**2 - 3*y**3 - 1 + 2*y to the form l*y + h*y**2 + k*y**3 + t and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2d (base 15) to base 6.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -254 - -257. What is the remainder when 25 is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/22 + 416\/(-143)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 6*x**2 + x - 4. Give f(3).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006215 to six decimal places.\nAnswer: -0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 95, -0.06, 4.9, -159, 1 in decreasing order.\nAnswer: 95, 4.9, 1, -0.06, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -264, -265, -266, -267, -268, -269?\n\"Answer: -v - 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*x - 110 = 13*x. Suppose 0 = -x*a + 6513 + 3519. List the prime factors of a.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, d: 2, r: 1, h: 2, u: 2}. Give prob of sequence dy.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r + r**2 - 7*r + 3*r - 7*r - 7. Let n be o(10). Solve -n*b = -0*b + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -5, -16, -1, -3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7289\/5 - -1457. Put 3.1, v, -0.5, 3\/7 in ascending order.\nAnswer: v, -0.5, 3\/7, 3.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*a - 2*u + 3, 24 = 5*a + u. Suppose 3*z = -v + 80, -6*v + 150 = a*z - v. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 2*w - 9752, -2*o = -0*o + 5*w + 4868. What is the units digit of 6*(o\/(-18) + -6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 21 = -3. Let y(q) = q**3 + 10*q**2 - 3*q - 1. What is the remainder when y(-10) is divided by 9\/l*40\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 618700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.2 > -1.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 11411a18?\nAnswer: -11411a21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5*z. Let c(g) = -15*g + 45 - 84 + 40. Give -2*c(y) - 7*m(y).\nAnswer: -5*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3475135.\nAnswer: 5, 811, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 - 157851*w + 315698.\nAnswer: (w - 157849)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 14) in base 2?\nAnswer: -10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j + 4. Let u be z(1). Solve -u*w + 9 = -1 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 - v)*(-7 + 7 - v) + (-v - 2*v + 2*v)*(3*v - 4*v + 3*v) + 701*v**2 - 7136 + 7136)*(11*v - 5*v**3 - 11*v).\nAnswer: -3500*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oooo when four letters picked without replacement from {k: 3, o: 7}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 233405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 14*z**2 - 11*z - 2. Let b(i) = i**3 - 13*i**2 + 10*i + 3. Suppose -25*u + 109 + 41 = 0. Let w(m) = u*b(m) + 5*o(m). Give w(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -3. Let l = -11 - -15. Suppose -q + l = 0, 0*a + 3*q - 44 = -4*a. What is the smallest common multiple of v and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 - -34.04. What is the third smallest value in a, 0, -1\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9259*m**3*n**3 + 11*m**3*n**2 - 2*m**3*n + m**2*n**3 - m*n**2 + 379*n wrt n?\nAnswer: -55554*m**3 + 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 75? (a) 37 (b) 114 (c) 2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -16. Let n(a) be the second derivative of 0 + 1\/12*a**3 - o*a + 1\/16*a**4 - 1\/8*a**2. Let n(u) = 0. Calculate u.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 2*u + 2. Let q be 5\/20 - (-2)\/(-8). Let j(z) = 13*z - 7 + q - 6*z - 4*z**3. Determine -6*j(g) - 21*n(g).\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 5*p**2 - 4*p - 5. Suppose 4*y + d = 5*d - 20, -5 = 3*y - d. Let b = y + -4. Is k(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 2*x + 4*x - 33154*x**2 - x**3 + x + 33162*x**2 in the form a*x + u + y*x**3 + g*x**2 and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*d**3 - 23*d**3 - 21*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2359 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**5\/7 - 660*m**4\/7 + 834*m**3 - 2764*m**2 + 28296*m\/7 - 15408\/7 = 0.\nAnswer: 2, 3, 321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 + 2)*(v**4 + 3*v**4 - 2*v**4) - 3*v - v**4 + 7*v + v as w*v + l*v**3 + d*v**2 + b*v**4 + i and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**3\/11 + 42*r**2\/11 + 152*r\/11 - 192\/11 = 0. What is r?\nAnswer: -4, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 3*o - 10 = 0, 4*g = 4*o + 623 - 663 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2984957933?\nAnswer: 53, 6067, 9283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m = -690 + 276. Solve 1 = -k + z, -9*k + 11*k + 2*z = -m for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-4 + -15 - -7) + 9.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*g - 46641980 = 0, 5*t - 6*g + 116604940 = 6*g. What is t rounded to the nearest 1000000?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*f - 420 = -162 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 2:57 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1199496 divided by -199916\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43 - 38. Let l(q) = q**2 - 3*q - 10. Let i be l(w). Let b(c) = c**2 + c + 2. Let p be b(i). Calculate the highest common factor of p and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 10*t - 13. Let g be y(-8). Which is the nearest to -0.4? (a) g (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*(-7)\/42)\/(8\/6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**5\/13 - 2*x**4\/13 + 64*x**3\/13 + 272*x**2\/13 + 32*x + 224\/13.\nAnswer: -2*(x - 7)*(x + 2)**4\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - p - 57 = -2*a, -2*p = 2*a - 82. Suppose 7*w = w + a. What is the smallest common multiple of w and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 - 6131438*m**2 + 12262882*m - 6131442.\nAnswer: -2*(m - 1)**2*(m + 3065721)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Solve -1560*d + 6065 + 64 = -1671 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12864 and 27?\nAnswer: 115776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 53561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0*u - 2*u + 120*u**2 + u.\nAnswer: 120*u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244 = 9*d - 5*d. Let q = d + -49. Let y = 1 - q. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -6, 6, 647 in descending order.\nAnswer: 647, 6, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, m: 2, p: 1}. Give prob of picking 4 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 828557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 95540 and 320?\nAnswer: 1528640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 349307 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0197 and -1.\nAnswer: -1.0197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*l**3 - l**3 + 9 + 10*l**3 - 22*l**3 wrt l.\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 17*l. Let p be n(1). Let k = p + -12. Find the second derivative of 7*r**5 - 7*r**k - 19*r + 2*r**3 + 15*r**5 wrt r.\nAnswer: 300*r**3 + 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/15*(-21)\/14.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 429 + -361. Calculate the greatest common factor of q and 306.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**4 + 2412*k**3 - 84090*k**2 - 175424*k - 88920 = 0. Calculate k.\nAnswer: -1, 38, 1170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -91960348*k**3*l**2 + 811657*k**2*l - 39*k*l**2 wrt k?\nAnswer: -551762088*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 27 (b) -1\/21 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 66 = 5*r + 628, 986 = 5*t + 4*r. What is the remainder when 1357 is divided by t?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 12:36 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.006 + -20.994. Let i = -23 - r. Let y = -23.5 - -23. Which is the biggest value? (a) -3 (b) i (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-56)\/36)\/7 + (-29)\/(-9). What is the third biggest value in h, 0.5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69087979 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: Expand (9 - 5 + 7 + (-1 + 2 - 3)*(3 - 5 + 1))*(-7*r + 3*r + 3*r)*(-5*r - 2*r + 5*r).\nAnswer: 26*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4660985.60521362 - 4661588.6052. Let i = j - -603. What is i rounded to six dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -p**6\/75 + p**5\/50 + p**4\/30 - p**3\/15 + 3*p. Solve m(c) = 0 for c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 33. Let l = r + 17. Sort -0.2, -0.4, l.\nAnswer: -0.4, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60831061?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -11*i**3 - 4*i + 4. Let s = 76 + -28. Suppose 8*q = -136 + s. Let z(w) = -32*w**3 - 11*w + 11. Determine q*r(n) + 4*z(n).\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-5) + 8\/(-20). Let o = 2 - k. Suppose o*d = 8*d - 430. Does 25 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times 14.1064841\nAnswer: -0.282129682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 306 and 54.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - a + 8. Suppose -2*m - u - 1 = 1, 0 = -3*m + 5*u - 29. Let p be f(m). Let -2\/5*k**p + 0 + 0*k = 0. What is k?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9061, -36144, -81283, -144478, -225729?\n\"Answer: -9028*h**2 + h - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -5492.217 + 0.06765625.\nAnswer: -5492.14934375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) 0.1 (c) 0.4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 68 or 616\/9?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p + 11212432*p**2 - 10 - p - 11212518*p**2 to a + q*p**2 + l*p and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305699.\nAnswer: 107, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*r - 0*r - 4, -r + 10 = 2*a. Solve -a*o = 3*s + 15, s - 2*o + 0*o + 5 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -19, -22, -27, -34, -43?\n\"Answer: -s**2 - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 3b6057?\nAnswer: 3b6057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from xxelle?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 6 = -4*j, 4*i + 5*j - 2 = 0. Let o(h) = -4*h**2 + 8*h - 4. Let t(c) = 20*c**2 - 40*c + 20. Let m(w) = i*t(w) + 14*o(w). Factor m(q).\nAnswer: 4*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-110))\/((-81)\/(-270)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*i - 3*x - 37, 0 = -i + 2*x + 16. Calculate the smallest common multiple of 2 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167390860 to the power of 1\/3, to the nearest integer?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*p + 3*t - 4, 1 = 2*p + t. Let a(b) be the first derivative of -2*b**3 - 3*b**2 - p*b + 3 - 1\/2*b**4. Suppose a(z) = 0. Calculate z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 9*n. Let h be j(-9). Suppose 0*b + b - 12 = h. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 4:38 PM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(432) - (sqrt(432)*-1 + 1)) + sqrt(432) + (sqrt(432) + -2*sqrt(432)*-3 - sqrt(432)))**2 + (-5*(1*sqrt(5808) + 4))**2.\nAnswer: 8368*sqrt(3) + 180596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -841 - -853. Solve -4*a = -7*a - r for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*u - 8 = 0, 0*m - 2*u = 4*m - 2. Suppose -m*n = -6*n + 8. Factor -3*b + 88*b**n - 6 + 0*b - 85*b**2.\nAnswer: 3*(b - 2)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1, -7, -21, -49, -97, -171, -277, -421?\n\"Answer: -k**3 + 2*k**2 - 5*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1448 <= 96.17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 5*c**2 + 3*c + 2. Suppose -57 = -41*i + 189. What is the least common multiple of x(-2) and i?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 36, 62, 134, 276, 512, 866, 1362?\n\"Answer: 4*n**3 - n**2 + n + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38 + -7. Let v = a + 93. Suppose n = 2*z - 0*z - v, 0 = 2*z + 4*n - 58. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.6 + -0.4. Let z = v + 3. Let g = z - -2.3. Put g, -5, -0.5 in decreasing order.\nAnswer: g, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/678619, -0.02, -6?\nAnswer: 3\/678619","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 66 - 54 = 0. Suppose -25*i = -20*i - b. Let z be (i\/9*2)\/((-4)\/(-18)). Solve -f = -z*f + 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggiiqgzgzzrrq. Give prob of picking 1 i, 1 g, and 1 q.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 759093*t*y**3 + 930*t - 6*y**2 wrt y?\nAnswer: 4554558*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w - 3*w = 24 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 3 (c) 0.7 (d) 211.76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 472696711.\nAnswer: 31, 89, 171329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -3*o, 4*z + o + 9974 - 9991 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**2 + 10*h**2 + 1107*h**3 - 12*h**2.\nAnswer: 1107*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4011 and 5.\nAnswer: 20055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 12367, 12380, 12415, 12478, 12575, 12712?\n\"Answer: j**3 + 5*j**2 - 9*j + 12370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/10 and -36\/11315.\nAnswer: 22630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q**3 - 13*q**2 - 80*q - 11. Let a be w(-5). Calculate the greatest common divisor of 3 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**3 + 300 - 8*g**3 + 45*g**2 - 299.\nAnswer: -4*g**3 + 45*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 2*k - 53. Let v = 84.6 - 121. Let f = 36 + v. Which is the nearest to k? (a) f (b) 0 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*b**4)*(-2*b - 2*b + 2*b + (-1 - 2 + 1)*(4*b - 5*b + 3*b) + b + b + 0*b - 2760*b + 1033*b - 7574*b + (0 + 5 - 4)*(-2*b + 2*b - b)).\nAnswer: 18612*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 236281382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqqeqeeevveeew. What is prob of sequence vq?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-26)*((j**0\/j*j)\/j)\/j)**(2\/3) assuming j is positive.\nAnswer: j**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 490 + -490. Which is the nearest to q? (a) -1\/3 (b) -17 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 144 + -142. Suppose -c - d + 4*d + 2161 = 0, 0 = -3*c - o*d + 6461. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 3*a + 5339, 5*v - 7722 + 1049 = -4*a. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-588 - -629) + (-51 - -4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/(-14))\/(1*-1) - -17. Suppose -y + 18 = m. Solve 0 = 2*h - 9 + y for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2187 - -2190. Let l(c) = c**3 + 7*c**2 + 4*c - 8. Let n be l(-6). Solve a = -n*y - 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 t when two letters picked without replacement from zuzzuuzozzztu.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 55 + 16*l - 11*l + 30*l - 93. What is the tens digit of w(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -525, -999, -1459, -1899, -2313, -2695?\nAnswer: -3039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/3, 2, 0.3, 2\/5.\nAnswer: -2, 0.3, 2\/5, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1389 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -143370 at most as big as -143370?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*((-21)\/(-6) - 3). Let f(k) = -2*k - 15. Let z be f(o). Which is bigger: -16 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 81278 + -320?\nAnswer: 80958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21818 and 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2. Let r(b) = -3. Let u(y) = d(y) - r(y). Let v be (-4 + 3)\/(5 - (-316)\/(-64)). Let l(p) = 4*p - 16. Calculate v*u(i) - l(i).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -15*f**3 + 4*f**2 + 7*f + 4. Let n(t) = 44*t**3 - 11*t**2 - 20*t - 11. Calculate 4*n(w) + 11*v(w).\nAnswer: 11*w**3 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7.8 and -69020302?\nAnswer: 69020294.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 20*i - 48. Calculate l(17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**4 + 6*c**4 + c**4 + 6*c**4 - 4*c**4 + 2*c**4 - 7*c**4 + 79*c**3 - 79*c**3 + (-c**2 + 3*c**2 - 3*c**2)*(-3*c + 3*c - c**2).\nAnswer: 6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 17*s - 1121096 = -21*s, 0 = -3*j - 5*s + 1121095. Round j to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2550*u**2 + 104*u - 325. List the prime factors of b(3).\nAnswer: 22937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2\/5 - 2952*b\/5 + 16524.\nAnswer: -4*(b - 27)*(b + 765)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 7*b**2. What is w(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r**3 - 23*r**2 - 3*r. Let c(t) = -17*t**3 + 97*t**2 + 11*t - 1. What is 3*c(v) + 11*w(v)?\nAnswer: -7*v**3 + 38*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1817 + 1815.103. Let s = w + -0.103. Which is the third smallest value? (a) s (b) 3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**5\/60 + 9*n**2. Let i be (-1)\/(((-3)\/(-8))\/(-3)). Let x(m) = -8 + 2*m + i. Give x(d(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 2:30 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i = -15*i - 12. What is the common denominator of -4\/9 and i\/(-10) + (-4224)\/20880?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1670\/1002)\/((325\/60)\/(-13))*2*8?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 956 - 925 = 3*m, -11*p = 17*m - 193 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3*q**4)*(2*q + 4*q - 5*q) + 3*q**5 + 0*q**5 - 4*q**5.\nAnswer: -4*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 660978?\nAnswer: 2, 3, 36721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -58 - -57.9999926. What is h rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**2 + 2. Let f(k) = -7*k + 8*k - 9*k + 13 - 8. Let h(s) = 4*s - 3. Let z(o) = -3*f(o) - 5*h(o). Determine b(z(w)).\nAnswer: 48*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9)\/(-6)*-2 + 55.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 - -47. Let v(y) be the first derivative of 3*y**2\/2 + 2. Let a(s) be the first derivative of -s**2 - 1. Determine l*v(k) + 4*a(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 26*f - 24*f + 890, -5*r = -2*f - 4490. What is the highest common factor of r and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12064 - 11954 = -3054*r + 6522 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.3 - -1.3. Let p = -1 - -1.4. Let o be (-3)\/(-54)*2*2. Sort o, f, p in decreasing order.\nAnswer: p, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of a**5\/90 + 11*a**4\/48 + 2*a**3\/9 - 15*a**2. Find i, given that t(i) = 0.\nAnswer: -8, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of k**3 + 2*k. Let r(w) = 43*w - 142*w + 21*w + 37*w. Give j(r(h)).\nAnswer: -246*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 527*h**3 + 23*h**2 + 26*h - 4. Let l(r) = -395*r**3 - 17*r**2 - 19*r + 3. What is -11*l(k) - 8*u(k)?\nAnswer: 129*k**3 + 3*k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h - 9. Let m be r(5). Suppose 4*a = -2*x + 8, 0 = -4*x - 0*x - 16. Solve -3 = f + a*y - 5*y, -y = f + m for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 110*o - 110*o - 28 - o**2 + (-2*o + 2*o + o)*(-2*o + 2*o - 2*o).\nAnswer: -3*o**2 - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6242540?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 81 (b) -28\/9 (c) 6 (d) 1 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 504*a - 499*a + 5*u + 40 = 0, -58*a - 3*u = -251 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*c = 4. Suppose c*z + 3 = 15. Suppose o = -0*o + z. Solve -u + o - 4 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(1\/2))**(38\/3)\/(o**(-3)\/o**(2\/7)) assuming o is positive.\nAnswer: o**(156\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 342140 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 6 = -182*f + 184*f, -4*p - 4 = 0. Suppose x - 3*v - 33 - 111 = 0, f*v - 165 = -x. What is the greatest common divisor of 85 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 26*g + 365. Let v be f(-7). Calculate the highest common divisor of v and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 5*n**2 - 8*n + 20. What is the least common multiple of 9 and g(6)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1170 and 142428?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28269288.\nAnswer: 2, 3, 392629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3220 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1004.20857592 - 478.20856926. Let a = 526 - v. What is a rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + 2*(-5 + sqrt(112) + (sqrt(7) - ((-3 + sqrt(7))*-1 - sqrt(7))) + sqrt(7)))**2.\nAnswer: -3456*sqrt(7) + 12696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -171, 0, 287, 690, 1209, 1844, 2595?\n\"Answer: 58*d**2 - 3*d - 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*z**2 + 37*z**2 - 177*z**2 - 54*z**2 as f*z**2 + v + q*z and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g**2 - 6*g**4 + 1 + 3*g**4 + 2*g**4 to the form l*g + z + a*g**2 + j*g**4 + q*g**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/234 and (-2)\/80*(-13032)\/702?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 10*g**2 + g + 13. Let l be b(-10). Factor 9*j**3 - 85*j + 91*j - 8*j**l + 27*j**2 + 20*j**3.\nAnswer: 3*j*(j + 1)*(7*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 10*q - 204. Let a be o(20). What is the closest to 2\/11 in 8, a, 7\/5?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -134*t**2 + 1. Let y(n) = -23*n**2. Determine c(y(j)).\nAnswer: -70886*j**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/9)\/s*s)**35*(s*(s**(-2)*s*s)\/s)**(-9) assuming s is positive.\nAnswer: s**(-70\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1965 rounded to two decimal places?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1394 - -1784. Is h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6036318605?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + 0.1. Let y = -0.1 + u. Let z = 2 - 1. What is the closest to y in 1\/3, z, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqkqqqkqkkkkkqqqqqq. Give prob of sequence kkq.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.05*-23.2659\nAnswer: -1.163295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -108, -5, -10, -0.4, -1 in descending order.\nAnswer: -0.4, -1, -5, -7, -10, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/((1*sqrt(891) - sqrt(891)) + sqrt(891) + sqrt(11)) + sqrt(9)\/(sqrt(9)\/sqrt(3))*3.\nAnswer: 31*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1 + ((sqrt(180) - sqrt(180)*2) + 1 - sqrt(180)))**2 + (3*sqrt(180)*2 - (-2 + sqrt(180))*-2).\nAnswer: 48*sqrt(5) + 717","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*z**3 + 5*z**3 - 3*z**3 + 3*z**2 - 2*z**3 - 3*z**2 + (-5*z + 4*z - z)*(5*z - 5*z + z**2).\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1652364 divided by -236052.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -4, 4, 2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 196032949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17329 + -17309. Solve -h - i*t - 3 = -21*t, -2*h - 5*t - 20 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32330907 >= 0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 259\/356 + 2\/89. Which is the closest to -0.1? (a) -2 (b) 0.03 (c) -0.4 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2)\/w**(-1\/3)*(w\/(w\/w**2))\/(w*(w*w*(w*w\/w**(-5\/4)*w)\/w)\/w)*((w*w**(1\/2)\/w)\/w)**(10\/19)*w**(-1\/2)\/w*w\/(w\/w**(-4)) assuming w is positive.\nAnswer: w**(-2435\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -140.5 - -148.5. Which is the smallest value? (a) z (b) 16 (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -193 - -343. Let x = v - 145.98. Let s = 0.02 - x. What is the third smallest value in 0.2, s, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -6. Suppose -y = 3*k - 2 + 10, 0 = f*y - 3*k - 28. What is the second derivative of -4*v**4 + 2*v**4 + 0*v**y + 0*v + 2*v wrt v?\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -2 + 18. Suppose -4*v + 20 = 2*b, -9*v + 4*v + 4*b = 1. Suppose -q - 3*n + 6 = 0, n = v*n - 2. Solve -q*o - m = o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -311450*x - 30. Let b be d(15). Let c = b + 7402780. What is c rounded to the nearest 100000?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of 11\/24*a**4 - 17*a**2 + 0*a + 0 + 0*a**3. Let s(k) be the third derivative of k**4\/8 - 29*k**2. Give s(r(p)).\nAnswer: 33*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -63, -4, 5, -1 in descending order.\nAnswer: 5, 2, -1, -4, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 3 - 3)*(-2*p - 1 - 2*p + 5*p)*(-2 - 4 + 5).\nAnswer: -p**2 + p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((70\/(-6))\/7)\/((-5)\/(-6))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1813 and 2738.\nAnswer: 134162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -174554, -174554, -174556, -174560, -174566?\nAnswer: -174574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1100002111112 - -2?\nAnswer: 1100002111121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 3*c - 21 = 0, 5*c + 15 = 3*l - 8*l. Suppose 4*v + 2*y + 0*y = 12, -2*v - l*y = -2. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -8\/9, 2, -5, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l - 1. Let j be o(-1). Let x(v) = 4*v**2 + 0*v**3 + 4 + 5*v**2 + 9*v + v**3. Let c be x(-8). Is c less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + 1*sqrt(108) + sqrt(108) + sqrt(108)*-1*-4)**2 + ((sqrt(108) - (3*sqrt(108) - sqrt(108)))\/(sqrt(44)\/(sqrt(275) - sqrt(11))))**2.\nAnswer: 144*sqrt(3) + 4324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -5, -4, -5\/192, -0.1463?\nAnswer: -0.1463","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t + 7. Let p be n(4). Let o = 7 + -5. Suppose 95 = -o*j - p*j. Round j to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) -20 (c) -0.2 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 4012305411?\nAnswer: -4012305402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-4 + sqrt(10)\/sqrt(5) + 3)**2 + sqrt(18)\/sqrt(36) + ((sqrt(320) - sqrt(20))\/sqrt(10))**2).\nAnswer: -21 + 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6816408 + -4219\nAnswer: -6820627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13025 - 13019. What is the smallest common multiple of n and 882?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 2*k - 1. Let j be z(0). What is the hundreds digit of (5\/((-10)\/(-6)))\/j + 118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 92*b - 95*b - 17 = 0, -3*f + 11 = -4*b for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**3 + 2*x**3 + 2*x**3)*(-4*x**2 + 6*x**2 - 3*x - 3*x**2).\nAnswer: -x**5 - 3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = d + 4, 56*d - 3*r + 8 = 54*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/7? (a) 18 (b) 27 (c) -1224\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3336 (b) -0.1 (c) 0.5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (27\/4)\/(18\/(-48)). Let u = y - -10. Let f = 2 - u. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -1.05\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -9. Let c(u) = 2*u + 0*u + 2*u + 0*u - d. Let k(f) = 5*f - 4. Calculate -4*c(g) + 3*k(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*x - 330 = -5594 - 109 - 507 for x.\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 878 is divided by 235.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000965 to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 185 = u, 0*u + 3*x = -u + 145. Suppose 2*z - 75 = z. Let t = u - z. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**5\/7 + 2122*h**4\/7 - 1214*h**3 + 12752*h**2\/7 - 8503*h\/7 + 2126\/7 = 0. Calculate h.\nAnswer: -2126, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 80241 divided by 11463\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + sqrt(1573)*-2*4).\nAnswer: -12 + 264*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.7 - -4. Let s(w) = -w**2 - 13*w + 17. Let d = -48 - -34. Let r be s(d). Which is the third smallest value? (a) 0 (b) r (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -585*m**4 - 109*m**3 + 3*m - 1062090.\nAnswer: -7020*m**2 - 654*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 7. Let u = g + -6. Let n(d) = -4*d - 2. Let j(x) = -3*x - 2. Let f(l) = -6*j(l) + 5*n(l). Let s(y) = -3*y + 3. Give u*s(k) + 5*f(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2, 0.4, -13 in decreasing order.\nAnswer: 0.4, -0.3, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3 = 1. Suppose t = -3*v + 4*v. Solve 4*m = -2*o + 13 - 3, -3*m - 20 = -v*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 (base 14) in base 12?\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -62914600 to the nearest 1000000.\nAnswer: -63000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 21*f**3 - 7*f. Let t(m) = 11*m**3 - 3*m. Calculate 3*r(j) - 7*t(j).\nAnswer: -14*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**4 - s**4 + 5*s**4 + (-7*s + 3*s**2 + 7*s)*(-s + s - 3*s)*(0*s - 3*s + 4*s).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - -63) + 40 + -78.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.1950532 and 57?\nAnswer: 58.1950532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(80\/10)*-4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t + t + t)*(28 + 23 - 8)*(5*t - 2*t**2 - 5*t + t**3 + 1) to y*t**2 + z + w*t + f*t**4 + a*t**3 and give w.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/((-10)\/8 - -2). Suppose -q*b - p + 14 = -0*b, 4 = -2*p. Let a = 4 + -2. Which is bigger: a or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 13147.34 years?\nAnswer: 131.4734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 112716 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 206*w**2 + 10*w + 24. What is the hundreds digit of j(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2706408?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((210\/(-9))\/10).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (11\/66*18*5)\/(6*1\/12)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 0.4, 1\/6, 5, 0.05899, -0.3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 16) in base 3?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -3 (b) 2 (c) 9 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 7, e: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -65 + 56. Let u be 12766\/18 + 2\/z. Suppose 4*p = -2*w + 678 + 16, 4*p = -5*w + u. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -525 divided by 35\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10158 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -5*n**2 + n + 1. Let c be l(-2). Let v be 1\/3 + (-35)\/c. Suppose 0*z - 8 = 4*z. Sort v, 6, z in descending order.\nAnswer: 6, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1382 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by 212438.\nAnswer: 11\/212438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*v = 26*v - 8. Let m be ((-66)\/(-4))\/((-24)\/32). Let h be (2\/3)\/(m\/(-33)). Solve -z = 4*o - 15 - 2, -z = -v*o + h for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -55*y**2 + 2*y + 5. Let j(o) = 82*o**2 - 3*o - 7. Let z(k) = 5*j(k) + 7*w(k). List the prime factors of z(-1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*l + 7*l, -16*l = -2*h - 12*l for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 8*x**2 + 7*x - 1. Let u be l(-9). Suppose -5*i + 3*f + u = 0, 0*f - 4*f - 12 = 4*i. Let c = -15 - -74\/5. Are i and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 108*o - 3138. Let c be s(-71). Put c, -6, 0 in ascending order.\nAnswer: c, -6, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2497 - -2495. Sort 485, 6\/7, b in increasing order.\nAnswer: b, 6\/7, 485","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - (-3)\/(81\/(-6690)). Suppose -3*i = -1054 + 298. Let y = i + x. Which is the nearest to 1? (a) -0.3 (b) y (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/14 and 65\/52876?\nAnswer: 370132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 + 12 - 15) + 16.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -69 + 74. Let k be 69*j\/90 + 2\/12. Factor -5*h**5 + 0*h**3 - 2*h**3 + 4*h**5 - 3*h**k.\nAnswer: -h**3*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2468212906?\nAnswer: 2, 167, 1933, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3)**(-2\/95) assuming j is positive.\nAnswer: j**(-6\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1531, 919, 3371, 5825?\n\"Answer: t**2 + 2447*t - 3979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 1. Suppose -5*v = -4*j + 7, -4*v - 3 = -2*j - 1. Let g = v - o. Solve f = -y - g - 3, -21 = -3*y + 3*f for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 9. Let p be (1 - -1)*5\/n. Solve 21 + 4 = -p*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -155226, -310475, -465724?\n\"Answer: -155249*q + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -51429 + 21?\nAnswer: -51408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 690448673?\nAnswer: 73, 9458201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269*m + 415*m - 303*m - 9366 = -288*m for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32152*t*x + 13139*t with respect to x.\nAnswer: 32152*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/85131540 and 19\/12?\nAnswer: 85131540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 7*v**4\/24 + v**3\/9 - 21*v**2\/4 - 3*v - 946. Let a(f) = 0. Calculate f.\nAnswer: -3, -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/4)\/(7\/(-42)). Suppose x*p + 0*p = -33. Let w = -10 - p. What is w rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 134280 and 990.\nAnswer: 1477080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21289381830 + 0.12936.\nAnswer: -21289381829.87064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 58 + 50. Does 22 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399634 less than 74180590\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -c**3 + 257430*c + 808031 wrt c?\nAnswer: -3*c**2 + 257430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*j**3 + 6*j**3 - 50*j**3 - 44*j**3.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**5 + 0*y**5 - 6*y**5 + 3*y**5 - 3*y**5 + y**5 + (-4*y**5 + y**5 + y**5)*(-4 - 2 + 4) + y**5 + 5*y**5 - 4*y**5 + y**4 - y**4 + 2*y**5.\nAnswer: 2*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/6 and 139\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/34 and 31\/61642.\nAnswer: 61642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 1 + s**2 + 3 + 7*s + 1 + 3. Let x be i(-6). Suppose 0 = x*r - 4*f + 3*f - 48, 3*r - 77 = -f. Solve 2*d + r = 7*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 597377554 divided by 20599226.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6802 divided by -358.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 5:31 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6266.716t to micrograms.\nAnswer: 6266716000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1080\/(-42))\/90*(-91)\/(-1).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -21823439407231.\nAnswer: -21823439407227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 27 + 92 = 0. Let f(t) = t. Let z be f(5). Suppose z = 2*u - k. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 = -3*u - 5*s, 280*u + 0*s + 3*s - 56 = 138*u + 140*u for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(1\/3)*h*h)**(-2\/145))**(-2\/13))**(1\/18) assuming h is positive.\nAnswer: h**(14\/50895)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 5, 18 = 2*i - 2*h + 2. Suppose -i*q - 3 = -15. What is y in 0*y**4 - y**4 - 6*y**2 - 2*y**q + 9*y**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 15*n**2 + 15*n + 9. Calculate the remainder when 108 is divided by t(14).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - r = -1336, 5*x + 200 - 2436 = -4*r. Suppose d + 2606 = 5*f, f - x = 3*d + 80. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 - b**2 - 2*b**2)*(3*b + 2*b**2 - 3*b) + (-b**2 - 4*b**2 + 3*b**2)*(362*b**2 - 52*b**2 - 135*b**2).\nAnswer: -354*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 52*k - 330. What are the prime factors of n(21)?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 433973 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 438\/8 + (-7)\/(-140)*5. Find the first derivative of -23 + 24*l**2 - w*l**2 + 5 wrt l.\nAnswer: -62*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3945 at least 3956?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22? (a) -8 (b) -4 (c) 0.2 (d) 22.5 (e) 3\/4 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) 17\/5 (c) -6 (d) -26 (e) -3\/4 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 10 = 0, j + 2*j = -5*l + 14 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 + -36. Suppose -2*x + 9 - 1 = 0. Suppose 309 = 5*v - 3*d, 0*v - x*d = 4*v - 260. What is the greatest common factor of s and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 279766*1007.\nAnswer: 281724362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + r + 4*y + 8 = 0, 0 = -5*r + 5*y + 40. Let k(u) = -u - 4*u - 6 + 13 + r*u. Let d(o) = -1. Give -6*d(g) - k(g).\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 + 12*a - 18.\nAnswer: -2*(a - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 1, 2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.46 - -3.54. Which is the third biggest value? (a) 2 (b) 4 (c) w (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13 + -c4846?\nAnswer: -c4859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22.2, 0.1, 4, 2\/3, 6\/5 in ascending order.\nAnswer: -22.2, 0.1, 2\/3, 6\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 972321 - 828423589\/852. Let g = c + -3\/284. Calculate the common denominator of g and 39\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1482 and 1558?\nAnswer: 60762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 31524 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 - (24\/(-4))\/(-2). Suppose -5*l - 2*u = -32, g*l - 2*l = 3*u + 9. Suppose -l*d = -141 + 9. Calculate the greatest common divisor of 110 and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3 = 4*k + 10, 5*b - 25 = 0. Let x(s) be the first derivative of 3766664*s**2 - 16*s - 444. Let u be x(k). Round u to the nearest one million.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -16, -31, -70, -145, -268, -451?\n\"Answer: -2*j**3 - j - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1216, -4873, -10966, -19495?\nAnswer: -30460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 71 + -78 + -9 + 5 + 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -626.8 and -0.2742.\nAnswer: -627.0742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44760640 (base 8) to base 14.\nAnswer: 1403c9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.356 + 2.644. Put -1\/9, 0.1, -4, k in decreasing order.\nAnswer: k, 0.1, -1\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 977512 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -50*t**4 + 215670340*t**3 - 232568262108138*t**2 - 465137171227496*t - 232568693448968 = 0. What is t?\nAnswer: -1, 10783522\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, -11, 0.5?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 338 + 872 = 5*v. Is v a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 5*z + 12. Let j be g(-5). Calculate the highest common factor of j and 1284.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0734 - 0.21?\nAnswer: -0.2834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 2\/9, -0.05, 2, 0.03?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -210, -1\/10, 0.1, 5, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 21\/18 + (-1043785)\/(-642). Is x < 1627?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2. Let x(s) = -s**3 - 5*s**2 + 4*s - 4. Let o be x(-6). Let r(b) = b - 8 + o. What is i(r(u))?\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2 - 72*o**3 - o + 142*o**3 + 11*o**2 - 71*o**3. Let a be u(11). Does 9 divide ((-4)\/3)\/(-2) + (-1029)\/a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 499983 and 88682?\nAnswer: 28999014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w**(-7)\/w*w)*w)**(33\/2) assuming w is positive.\nAnswer: w**165","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4566150 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-3))\/(-12) - 722\/152.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 661611 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.192767 to two decimal places.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + 16. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7627270 and 1743376?\nAnswer: 61018160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0 + 8 = 0, 0 = 4*l + s + 128. Let v be ((-1)\/6)\/(l\/(-4) - 8). Is v >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j. Let w(s) = 1552*s. Give w(i(y)).\nAnswer: -3104*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1926.7, 5\/8, 0.1, -1\/3.\nAnswer: -1926.7, -1\/3, 0.1, 5\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1652514828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39\/104)\/(16\/(-64)*30)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291*q = 103*q + 564 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*m + 16*m - 15. Find the second derivative of -m*b**4 + 260*b**3 - 260*b**3 - 36*b wrt b.\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 897155.\nAnswer: 5, 7, 25633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - t + 4. Let p be m(0). Suppose p*g - 131 = -5*l + 88, -2*g + 111 = l. Is g a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-9) - -1)\/(16163\/477963).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 6:47 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y + 2 + 8 + 0 + 13*y + 16*y as t*y + q and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + q + 59 = -i, -5*i - 343 = -q. Let x = i - -145. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - r + 6. Let u(d) = -d**3 + 2*d**2 - d + 2. Let z be u(2). Let v be s(z). Let i be (4\/6)\/(2\/v). Solve w + h = 10, -5 = i*h - 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -13*v - 3. Let u(n) be the first derivative of 19*n**2\/2 + 4*n + 15. Let q(i) = 7*s(i) + 5*u(i). Determine q(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2302012201 + -11?\nAnswer: 2302012130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (82901\/(-31885))\/(((-4)\/(-8))\/(15\/(-2)))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -500505*p + 500512*p = 4*h - 33, -3*p - 12 = -h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*x - 10. Let u be 3 + 0 + (x - 0). What are the prime factors of 1\/(-1)*-9*u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -60481763 and 0.257?\nAnswer: 60481763.257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -972*y - 10358 = 4697 + 57845 for y.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 - 2*h**2 + 4*h**2)*(2*h + 0*h + 3*h) + 7 - 2*h**3 + 4*h**3 - h**3.\nAnswer: 6*h**3 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 72 = -3*y, 3*z - 16 - 30 + 27 - 47 = -5*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**4\/3 - 101*l**3\/3 - 131*l**2 - 487*l\/3 - 194\/3 = 0. What is l?\nAnswer: -97, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/63, -4, 1\/4, -3, -1 in descending order.\nAnswer: 1\/4, 2\/63, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c + 2. Let x(w) = -w**3 + 3*w**3 + 0 + 1 - w**2. Let d be x(2). Let p = 18 - d. What is a(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 - 21. Let r(f) = -f**2 + 4*f - f**2 + 9*f**3 + 2 - 5*f - f**b. Is r(2) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 428376 and 2808.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**2 - 8*x - 5. Give l(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1431 and 429141.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 3)*(121*q - 129*q + 162*q).\nAnswer: 154*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 634.6 and 0.89.\nAnswer: 635.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 7*p + 26. Let j be z(11). Suppose 49 = 2*f + 3*q - j, 4*f - 276 = q. Does 35 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1125 is divided by 62.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 316 divide 46136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l + 5. Let c(q) = -q + 1. Let v be (-1 - -2)*(4 + -3). Let y(t) = v*h(t) - 6*c(t). Let g(n) = -9*n + 2. What is -6*g(j) - 13*y(j)?\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 5 = -r. Let q(g) be the first derivative of 9*g**3 - g**2\/2 - 10. Is q(r) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4*v**2 - 22*v + 10. Let h(p) = 3*p**2 + 15*p - 7. Give -5*f(w) - 7*h(w).\nAnswer: -w**2 + 5*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m + 4*q - 12 - 3, 4*m = -4*q - 20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180192001?\nAnswer: 11, 16381091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 7320*j - 21951. Give n(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 444015 and 2376.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/63 and -29\/2196369?\nAnswer: 2196369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1892644429.\nAnswer: 13, 29, 331, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7109?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22103 is divided by 1153.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 11*x**2 - 709612*x**3 + 5 + 709617*x**3 to the form k*x**2 + z*x**3 + o + y*x and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -9, -127 in descending order.\nAnswer: 10, -9, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -5 (c) 21\/13 (d) 261 (e) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - (-32)\/(-14)) + 4\/14. Let i(p) = 2*p**2 + 7*p - 1. Let t be i(u). Suppose -h - 4 = t. Is h >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.2 + -0.2. Let f = -0.25 + -1.75. Which is the smallest value? (a) 0.1 (b) y (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-13\/4)\/s)\/(s*s**(-18))*(s**(6\/5))**17 assuming s is positive.\nAnswer: s**(663\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -86, 113, 658, 1723, 3482, 6109?\nAnswer: 9778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 17. What is the greatest common factor of 128 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 21. What is the greatest common divisor of l and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4*f = -694 - 320, 0 = -3*o - 4*f - 1527. Let m = -505 - o. Solve 4*d = 2*n + m, -d - 4*n = -0 - 11 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7900 and 19460?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/2)\/y)**(-43) assuming y is positive.\nAnswer: y**(43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -11001011?\nAnswer: 11000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -5*t + 2, 4*l = 3*t + t. Suppose 4946*x - 6512 - 3865 - 3078 = -3563. Factor -l*d**x - 1\/3*d**3 - d + 10\/3.\nAnswer: -(d - 1)*(d + 2)*(d + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/(-3) + 113\/(-2). Let b = 52 + i. Which is smaller: 6\/7 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1337*g + 0 + 3 - 6 + 2 + 4 as h*g + o and give h.\nAnswer: -1337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 = 4*o - 0*o. Suppose 5*f = -15, -2*r + 7*r + 5*f + o = 0. Let m be 11\/44*r\/(-4). Is 0 less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 9994912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 5*l**3 - 2*l - 1. Suppose 29 = -2*q + i, 4*q - 2*i - i + 61 = 0. Let p = -14 - q. Calculate u(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 197475262?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -15*n + 181. Let h be r(12). Let t(j) = -4*j - 1. Let a be t(-4). Put 3, h, 2, a in descending order.\nAnswer: a, 3, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 3:17 PM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/9)*r)**(14\/3)\/(r**(-7)\/(r\/(r**(-1\/3)*r))) assuming r is positive.\nAnswer: r**(310\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + (sqrt(117) + 6*sqrt(117) + sqrt(117) - sqrt(117))*-2)\/sqrt(9) - 6*sqrt(52)*-1)**2 + 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 e when three letters picked without replacement from {w: 2, v: 1, e: 3, n: 1, q: 4, f: 1}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = 4*g - 6*y + 3*y, -65 = 5*g - 5*y. Let n(z) = 1173*z**3 + 8*z**2 - 7*z + 8. Let i be n(g). What is i rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7830?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 5:22 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*o - 5*h + 2*h, h - 15 = -5*o. Suppose o*b - 3 = 2*b. Is 9 a factor of (6\/4)\/(b\/68)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 203 - 20?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -794.8 - -793.8. Which is the fourth biggest value? (a) n (b) -2\/3 (c) -0.4 (d) 113\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -3*n + 23, 0 = -n + 2*k + 9 - 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58248 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.914 + 0.136. Round x to 1 dp.\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide (-90)\/(-60)*274252\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3547465 a multiple of 809?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 a when three letters picked without replacement from akad.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23519 or 23507?\nAnswer: 23507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 11*k = 24. Suppose -9*s + k*s + 990 = 0. Suppose -3*y + s = 2*z, -5*z + 4*y = 5*y - 521. List the prime factors of z.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216 divided by 3?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 5) in base 14?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6463, 12927, 19391?\n\"Answer: 6464*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/3)*b**9\/b*b)\/(b**6\/((b*b\/(b*b**(7\/2)))\/b)) assuming b is positive.\nAnswer: b**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) 0 (c) 32 (d) -1\/6 (e) -627 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -t**3\/3 + 28. Let m(w) = -1 + 1 - 91*w**2 + 87*w**2. What is m(u(r))?\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -7 (b) -1\/3 (c) 9\/1496\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c + 2*c + 1 - 10, -5*c + 40 - 30 = 5*d - 10*d - 25 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -40*y**2 - 3*y - 3. Let g(i) = 41*i**2 + 4*i + 4. What is -3*g(f) - 4*s(f)?\nAnswer: 37*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 71*q - 73*q + 17 = 0, -4*q = 4*r - 28 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + w + 11 = -4, -3*c - 13 = -5*w for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 60631250 + 6?\nAnswer: 60631256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 81?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 14, -22, 77?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46 + 48. Let m(s) = 88*s - 2. Let f be m(5). Suppose -k*w + f = 16. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 286 and 234?\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 103039, 206016, 308993, 411970, 514947?\n\"Answer: 102977*w + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/7 - 5\/7*v + 1\/7*v**2.\nAnswer: (v - 3)*(v - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 - 2)*(-603*d + 309*d - 1147*d) to x + w*d and give w.\nAnswer: 4323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10103220 (base 4) to base 14\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 16 = 4*b - 6*b, -4*z - 35 = -3*b. Suppose 0 = -b*j - 493 + 3256. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18484, 42447, 66410?\nAnswer: 90373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75628 by 7.\nAnswer: 10804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -103680 divided by 2592?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(135))\/sqrt(5))\/(sqrt(9) - sqrt(108)\/sqrt(192)) - ((sqrt(27))**2 + 2)*-5*-4.\nAnswer: -580 + 8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02008007 rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -211.014 + 0.014. Let c = -211.02 - f. Do c and 4\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in 15, 0.1, 0, 0.07, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**3 - 30356*z + 15214*z + 15142*z.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*u**2 + 40*u**4 - 766*u**3 + 190*u**3 + u - 1 + 198*u**3 + 186*u**3 + 193*u**3 in the form n + z*u**3 + t*u**4 + f*u + q*u**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 23 = -3*x - 76, x + 267 = 4*k. Suppose 28 + k = 12*f. Calculate the remainder when 8 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2465, -31, -4, 9 in ascending order.\nAnswer: -31, -4, 9, 2465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 10*o**4 - 344*o**3 + 1050*o**2 + 7956*o + 4320 = 0.\nAnswer: -3, -3\/5, 8, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -445, -888, -1331, -1774, -2217, -2660?\nAnswer: -3103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -24, 0, -10, -4, -2, 12.\nAnswer: -24, -15, -10, -4, -2, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27658 (base 12) to base 15.\nAnswer: 11235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + sqrt(245) + 0 + 3 + 1*(3 + 1*sqrt(245))).\nAnswer: -84*sqrt(5) - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 0 + 6*w + 1\/42*w**4 + 0*w**2 - 1\/21*w**3. Suppose m(k) = 0. What is k?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23003322 - 2101?\nAnswer: -23012023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.19 - 0.21. Which is the second smallest value? (a) -2\/13 (b) 2\/15 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 19 = 7. Differentiate -m**y - 2*m**4 - m**4 - 3 + 3*m**4 wrt m.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 178095, 356984, 535873, 714762?\nAnswer: 893651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1951443131 to the power of 1\/2, to the nearest integer?\nAnswer: 44175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/5 of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -774 (base 12) to base 9.\nAnswer: -1447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0 (b) -0.9 (c) -5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/3)*x*x*x**(-2)*x*x**4*x**(-4)\/x*((x*x*x*x*x\/(x*x**8))\/(x**2\/x))**(-17\/2) assuming x is positive.\nAnswer: x**(253\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2 = -3. What is the biggest value in -3, y, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-7))**(-1\/17) assuming t is positive.\nAnswer: t**(7\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 134765249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2562*q = -1334*q + 563737 - 166345 for q.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h**2 + 4*h**2 + 6 - 6. Let q(i) = 12*i**2. Let l(c) = 11*c**2. Let p(j) = 3*l(j) - 2*q(j). What is t(p(s))?\nAnswer: 81*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 204 and 6.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*p - 12, 0 = -p + v + 4*v - 6. Find the second derivative of -p*u + 6*u**5 - 16 + 16 wrt u.\nAnswer: 120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -17011738, -17011731, -17011720, -17011705, -17011686, -17011663?\n\"Answer: 2*h**2 + h - 17011741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 + -19. Suppose -5*j = x + 26. What is the remainder when 3320\/140 - 2\/j is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2236, -2220, -2198, -2170, -2136, -2096, -2050?\nAnswer: -1998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -117 in 2\/17, 5, -2.8, -4\/9?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -73 + 112. Let r be (-6)\/1*(-1)\/g. Sort r, -2\/5, -0.2, -3 in descending order.\nAnswer: r, -0.2, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 762668 to the power of 1\/2, to the nearest integer?\nAnswer: 873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*u - 15812 = 150*u - 9440 for u.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**5\/40 + n**4\/6 + 7*n**3\/6 - 10*n**2. Let f(a) be the first derivative of w(a). Is f(5) 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 -206226, -824891, -1855998, -3299547, -5155538, -7423971?\nAnswer: -10104846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 13895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50715 + 5*r - 50715.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5303 or 31823\/6?\nAnswer: 5303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(5\/5)\/8.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - r**2 + 3)*(0 - 3 + 4) + (-3 + 3 - 2*r)*(-4*r + 3*r + 0*r))*(-1 + r**2 + 1).\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 8:25 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8060 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4*v + 24 - 8 = 0, -8 = u + 2*v. Find the second derivative of 58*g**2 + u*g - 37*g - 14*g + 14*g**2 wrt g.\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2936970.\nAnswer: 2, 3, 5, 32633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -112020222011 (base 3) in base 12?\nAnswer: -1164aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -46*q**2 + 5*q - 5. Let s(p) = -1265*p**2 + 138*p - 138. Calculate -138*o(a) + 5*s(a).\nAnswer: 23*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5567 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 10. Calculate the remainder when 48 is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w**2. Let f(p) = p**2 - 4*p - 1. Let v be f(4). Let r(j) = j + 1. Let s(y) = -1. Let n(g) = v*r(g) - s(g). Determine n(b(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 1\/7, 1\/3, 0.13?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/300 and -1\/2355.\nAnswer: 47100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12216 and 384?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4d - 8b?\nAnswer: -da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -390\/17, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 763561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*b*d*f**2 - 5*b*d*f + 9*b*d + 1000*b*f**2 - 2*b + 6*d*f - 2*f**2 wrt f?\nAnswer: 10*b*d + 2000*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (-72)\/33 + 3. Put -3\/2, -5\/7, c in descending order.\nAnswer: c, -5\/7, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-2 - -3 - 3). Suppose 3*z + 2414 = h, -2*z = -0*z - h + 1610. Let k be (-90)\/z*-54 - -6. Which is smaller: k or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 16 - 16 + 20*b + b - 6 + 56.\nAnswer: 21*b + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -121a (base 15) in base 6?\nAnswer: -25454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - n = -138, -b - 3*n - n = 33. Does 11 divide 10\/b - (-353)\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 243\/2*l**2 - 70 - 5\/4*l**4 + 0*l**3 - 2*l. Find the first derivative of f(m) wrt m.\nAnswer: -30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-51) - 5268744\/310284\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36891981 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 11*p - 1 + 94*p**3 - 8*p - 3*p**2 - 93*p**3. Calculate a(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 100 + -127. Let v = -9231.052 + 9204. Let k = m - v. What is k rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of d**3\/3 - 2*d**2 - 1. Let k(m) = 2*m. Suppose -7*b = -9*b + 8. Suppose -p + 15 = -b*p. Give p*k(v) - 2*o(v).\nAnswer: -2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7705 (base 11) in base 5?\nAnswer: -311134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - -3. Calculate the remainder when 1\/(((-2)\/(-46))\/1) is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) 1\/12 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*l**2 - l + 3*l**2 + 0*l**4 - 7*l**4 - 2*l**2 - 13*l**2 as b + m*l**3 + t*l**4 + j*l + p*l**2 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 w when two letters picked without replacement from {r: 2, y: 1, w: 5, n: 1, s: 8}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1394b (base 14) in base 2?\nAnswer: -1011110101011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1112 - 2002222210?\nAnswer: -2002221021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + -2 + -57 + 0 + 2 + (10 - -1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 122 and -167.3?\nAnswer: -20410.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -c1c42a (base 13) to base 5\nAnswer: -2123324103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 6*m - 37, 2*c - 17013*m - 30 = -17017*m for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiinini. What is prob of sequence ni?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/27 of a day?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 - 743*h - 33838. What is v(-41)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000111011 + 1101000?\nAnswer: 1010100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -12774.048 to 0 decimal places.\nAnswer: -12774","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t + 3*t + 108 = 0. Let m(r) = -23*r**2 - 20*r - 14. Let u(d) = -8*d**2 - 7*d - 5. What is t*m(p) + 17*u(p)?\nAnswer: 2*p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-130)\/(-650) - 16042755\/25. What is k rounded to the nearest ten thousand?\nAnswer: -640000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -5.3, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/5)\/m*m*m\/(m*((m**(-3\/7)*m)\/m)\/m*m))\/(m\/(m\/m**(3\/11))*m*m*((m*m*m**(2\/5))\/m)\/m) assuming m is positive.\nAnswer: m**(-787\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + 0. Calculate the lowest common multiple of i and ((-2)\/6)\/(4\/(-12)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 26\/14)\/((-46)\/161). Suppose a*k - 12*k = 312. Let z = 297 + k. What are the prime factors of z?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1\/11)*p**6)\/(p*p**(-1\/3)*p**(-2\/3)\/p))**(9\/2) assuming p is positive.\nAnswer: p**(783\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cgqdfgn. Give prob of sequence fg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.0407 times 1\nAnswer: 0.0407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 + 261\/7. Sort k, -18, 0.4 in descending order.\nAnswer: 0.4, k, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5*m + 1201. What is the hundreds digit of f(-57)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.0276 - 0.0276. What is the closest to r in -38, -0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 9*g**2 + 9*g + 12. Let k be 31\/3 + (-4)\/12. Let r be b(k). Differentiate -i**3 + 0 + 5*i**3 - r with respect to i.\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**3\/7 - 3918*z**2\/7 - 1279227*z\/7 = 0. Calculate z.\nAnswer: -653, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -1.1 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1697412861 to the power of 1\/3, to the nearest integer?\nAnswer: 1193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - f**2 + f + 3. Let m be h(-2). Suppose -m*x = 4*a + 35, -x = -0*a - 3*a - 12. Which is bigger: -7\/2 or a?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/21 and 45\/10 + -5 - 101\/102.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 345*k**2 - 2825*k + 1274. Determine b(-353).\nAnswer: 1627","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k\/(k*k**0*k))\/k*k)\/k)**(-2\/89)*k**(2\/7)*(k**(1\/11)\/k)\/k assuming k is positive.\nAnswer: k**(-125\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/1194 and 9\/14.\nAnswer: 8358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)\/sqrt(3))\/sqrt(4) - (1 + sqrt(704)))**2.\nAnswer: 14*sqrt(11) + 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -29*g**5\/15 + 67*g**4\/2 + 28*g**3\/3 - 575*g**2. Factor q(p).\nAnswer: -4*(p - 7)*(29*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.627749789 to 5 dps.\nAnswer: -0.62775","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8017 + 8017. Let w(n) = -n**3 - 3*n**2 - 3*n + 5. Give w(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2371 - 2370.82274. Round g to two dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000232241 rounded to 7 decimal places?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31762 is divided by 239.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 1893?\nAnswer: -1896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5386, -5381, -5374, -5365, -5354, -5341, -5326?\nAnswer: -5309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and 26298707.3.\nAnswer: 26298707.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201717264?\nAnswer: 2, 3, 7, 659, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 7*i + 3363 = -8*i, -t = -5*i - 836. Calculate the greatest common factor of 116 and t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 1:12 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhgtphpphghhh. What is prob of sequence gg?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - (0 - (-28)\/36). Let s = 160 - 162. Which is the nearest to -0.03? (a) 1 (b) l (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -7 - -5 - 0 - 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 11:00 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002872695 to 4 decimal places.\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 27361482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 a when four letters picked without replacement from {h: 4, a: 1, u: 4, t: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 42886 and 64943.\nAnswer: 107829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -8. Find the common denominator of -6 and (82\/m)\/((-4)\/(-3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2169*z = 630*z - 685*z - 32387 + 201507 for z.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 28*y**2 - 5*y - 16. Let t be w(-13). Suppose -4*a - 3*k + t = 0, 3*a - 5*k - 3265 = -2*a. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*g + 144. Suppose 0 = 3*q - 0*q - 27. Calculate the highest common factor of q and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17020 divided by 1.\nAnswer: 17020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 188*f - 4 + 99*f - 84*f - 16*f as x + u*f and give u.\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 8)*61\/(-2). Suppose 4*l + k - 94 = 150, -k = -3*l + g. What is the remainder when l is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(((sqrt(153)*-3 + sqrt(153))*-3 + -4)*3 + -3) + -1)**2.\nAnswer: -1728*sqrt(17) + 49828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.31*-28.\nAnswer: -8.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5544 - -5548. Put g, 1, 4\/9, 0.01 in descending order.\nAnswer: g, 1, 4\/9, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 890*s**2 - 719*s - 14. List the prime factors of q(-6).\nAnswer: 2, 5, 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 52*w - 49*w - 1 = 0, 5*w = 10 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7c3 - ba7?\nAnswer: -3c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3662.58 - 3663. Let r = 2.38 + -2.8. Let w = m - r. What is the closest to -0.1 in -1\/3, w, -0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/29897? (a) -3\/8 (b) 2 (c) 4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 54637044 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 3:03 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62 and 26288.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 47953, 95898, 143843, 191788, 239733, 287678?\n\"Answer: 47945*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/2*(3 + -4). Suppose -3*r + p + 10 = 0, s*r - r = -5*p - 18. Solve -4 = 2*o - 3*v, -o + r*v + v = 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -349 + 354. Suppose -3*k + 6168 = 3*w, z*k - 15484 = -w - 5224. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 114 - -13114511?\nAnswer: 13115025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -459 and 10.\nAnswer: -449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i. Let d(r) = -3*r. What is 4*d(g) + 14*x(g)?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.058155 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-18) + (-40)\/(-126). Let r = -154.081 + 154. Let f = r - -0.881. Put 1, f, k in increasing order.\nAnswer: k, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 525155113 divided by -667.\nAnswer: -787339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 1. Let p = -11 - -15. Suppose 10 - 2 = -p*u. What is f(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -33 (b) -3 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 1016.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*z - 1, -2*b - 1 = -b + 2*z. Is (-3)\/b + 976\/8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*l - 30, -3*n + 2*l - 117 = -97. Let g(w) = -w**3 - 13*w**2 - 21*w + 23. Give g(n).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-144)\/1260*(-15)\/(-2)*(-49)\/45?\nAnswer: 14\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 77*z**2 - 197 wrt z.\nAnswer: 154*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 984290, 1968578, 2952866, 3937154?\n\"Answer: 984288*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 54*u - 343*u**3 - 28*u - 24*u in the form k + f*u + q*u**3 + g*u**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f2 + -5?\nAnswer: -f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*y - 0*y + 48. Differentiate 51*j**y - 24*j**4 + 93*j**4 + 54*j**4 - 5*j**4 - 102 with respect to j.\nAnswer: 676*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by -16?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -49*q**2 - 250?\nAnswer: -98*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*g - 51*g - 60*g - 14*g - 9*g + (-1 + 2 - 3)*(-3 - 2*g + 3) - 8*g + 43 - 43.\nAnswer: -109*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 4. Let d = -1 - n. What is the units digit of (d - 8)*2\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c + 4. Let g be l(-5). Let t(s) = -s - 1. Let y(v) = v. Let h(m) = g*t(m) + 5*y(m). Let n(d) = d. Give 2*h(o) - 14*n(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 6*z**2 + z + 1. Let y(v) = 7*v**2 + 2*v + 1. Calculate 3*k(t) - 2*y(t).\nAnswer: 4*t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/6, 4, 0, -14505 in increasing order.\nAnswer: -14505, 0, 5\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*l = 96 + 66 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*l - 5*g, g + 2*g = 9. Suppose -8*a = -3*a + n - 12, 16 = l*a + 4*n. Solve -w = 2*i + 5, 2 = a*w + 3*i + 12 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 5*u + 4*r + 15, 4*u + 2*r - 12 = 0. Suppose 30*m = 31*m + u. Put 0, 8, m in ascending order.\nAnswer: m, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4406 divided by -2\nAnswer: 2203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2701 + -6589. Let j = c + 2675. Let o = j + 6089\/5. Find the common denominator of o and -67\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -k + 4. Factor 2*y**5 + 2*y**4 - y**5 + 2*y**5 + k*y**2 - 8*y**4 - 3*y.\nAnswer: 3*y*(y - 1)**3*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 9, i: 7}. Give prob of sequence iaia.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/(t\/(t*t**8)*t))\/t)\/t)\/t)**19\/(t\/(t\/(((t*(t**1*t)\/t*t)\/t)\/t)))**(-4) assuming t is positive.\nAnswer: t**99","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 47922396 to the power of 1\/2, to the nearest integer?\nAnswer: 6923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2\/3, 5\/2, -1\/18, -2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5293867?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*h**2 + 3*h**2 + 2*h**2 + (16*h - 732 + 732)*(-3*h + 4*h + 0*h) to y*h**2 + i*h + q and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1530 (base 10) in base 14?\nAnswer: -7b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 13\/(-26) - (-14)\/(-4). What is the second smallest value in 1\/5, a, 2\/7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.4 - -3.4. What is the nearest to -2\/3 in d, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*t - 8*t + 12*t)*(0 - 4 + 7)*(5 - 4 + 0).\nAnswer: 120*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 w, 1 f, and 1 l when four letters picked without replacement from lvfluwwlluvwf?\nAnswer: 48\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*-1*(-890)\/712*56\/14.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 216\/(-1368)*42\/441?\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 2*g**2 - 4*g - 4. Let b be t(-3). Let f = -5\/13 - -48\/91. Which is smaller: b or f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-5)*2\/15)\/(200\/(-20))\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1908 is divided by 647.\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*c**2)*(-4479*c**2 - 737*c**2 - 134*c**2).\nAnswer: 10700*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 12*q - 24 = 13*q, q - 4 = -y. Let p(i) = -2*i - 2. What is p(y)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25582 and 38373.\nAnswer: 76746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 135072?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 156 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -284 - -284.5. Suppose 17*h + 151 - 168 = 0. Which is the biggest value? (a) h (b) -0.4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5 = -3*w, n + 4*n - w = 20. What is the highest common factor of 35 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10097127?\nAnswer: 3, 433, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/1437 and 61\/81909?\nAnswer: 81909","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 151 - 147. Solve 3*m = w*j - 7, -2*j - 2 - 7 = m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 + 6 + (22 - 36).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 222\/18 + 7\/(-21). Suppose z*b - 15*b + 18 = 0. Which is smaller: b or 32\/7?\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000743 to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*q = 74*q - 3057. What is the remainder when q is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60466359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 63 - 13. Let b be (h\/(-4))\/(2\/4). Sort 3, -3, b in descending order.\nAnswer: b, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45.59 + -43.593. What is y rounded to one decimal place?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 30\/3*(3 + -2). Suppose -45 + w = -5*p. Calculate the greatest common factor of p and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b + 3. What is o(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 3, 4, -55479 in decreasing order.\nAnswer: 5, 4, 3, 1, -55479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 32314 (base 6) to base 14\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 4*f**2 + 3*f + 3. What is g(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 27\/5 - 10\/25. Suppose -3*f + 1 = 4, 0 = o*k - 5*f - 75. Does 14 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6c73 (base 13) in base 15?\nAnswer: -4804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.2 (b) 1\/2 (c) 1\/5 (d) 2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u + 116 = -80. Solve 2*c - 2 = -0*c + 3*h, u = -5*c - 2*h for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1\/37, 164, -1\/9, -6\/91 in ascending order.\nAnswer: -3, -1\/9, -6\/91, 1\/37, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 168 in -4, 1\/4, -14?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 + 105. Suppose -r = -3*r + a. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-46)\/(-161) + 458\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/9 or -2\/5439?\nAnswer: -2\/5439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1052, 1102, 1180, 1286, 1420, 1582, 1772?\n\"Answer: 14*y**2 + 8*y + 1030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 446355272 and 11396?\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -112 + 10. Let f be (w - -5)\/(2\/64*-2). Suppose -3*z + 2021 = -f. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-287)\/(-14) - (-1)\/(-2). Let c = i + -17. Solve c*w = -w + 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20688003?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (8 + 5 + -8 + -7 + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -935503134*w**2 + 830909*w - 258 wrt w.\nAnswer: -1871006268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qgqq when four letters picked without replacement from tqgqqgqgqqtq.\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205*i - 222*i + 13957 = 0. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (86\/4)\/(6\/(-4)). Let g = i - -14. Let k be (-16)\/(-120) - (-2 + 32\/15). What is the nearest to g in -4\/3, -2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -198, -411, -642, -891, -1158, -1443, -1746?\n\"Answer: -9*z**2 - 186*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 7*h + 7. Let j be b(-3). Let c = j + 32. Calculate the highest common factor of c and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -974?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -123 + 177. Let t = i - 45. Let y = -8 + t. Which is the nearest to -2? (a) y (b) 4 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -17. Suppose y*f - p - 1 - 1 = 0, f - p = 2. Suppose -5*s + 74 = 4*h, f*h = 5*s - 2*h - 98. What is the highest common factor of s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (20\/15)\/((-8)\/(-708)). Let c = k + -170. Let y be (39\/c)\/((-1)\/48). What is the highest common factor of 9 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 7:06 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 19*f**2 - 53*f - 43. Let m be z(-21). Let y = m + 692. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -j**4\/12 + 5*j**3\/6 - 3*j**2\/2 + 2*j. Let f be c(2). Solve -f*w**2 + 3*w + 2*w + 6 - 2*w = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence txot when four letters picked without replacement from {o: 2, t: 2, x: 7}.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 1994*h + 47859. Let o be q(-24). Determine r, given that -2\/7*r + 2\/7*r**o - 2\/7*r**2 + 2\/7*r**4 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.868 - -3.868. What is the second biggest value in j, -4\/3, -0.04, -4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*g + 53 + 31 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x + 4. Calculate o(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 683.0716 kilometers?\nAnswer: 683071600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -936, -2185, -3472, -4797, -6160, -7561?\n\"Answer: -19*w**2 - 1192*w + 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.811 to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1975036 is divided by 658337.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 3*g**2 - 2. Let s be a(2). Let v = s - 2. Suppose q - 2*j - 16 = -j, -3*q - j + 32 = v. Calculate the greatest common factor of 60 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46209984 and 1444062?\nAnswer: 46209984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*k**5 - 2728*k**2 - 6278*k - 6 wrt k.\nAnswer: 280*k**3 - 5456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 193 divided by 6\nAnswer: 193\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 5 + 20328*g - 1 - 5.\nAnswer: 20328*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61*d**2 + 31*d**2 - 27*d**2)*(-2 - 1 + 5)*(-2 - d**2 + 2).\nAnswer: 114*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.26 - 0.04. Let m = o - -0.1. Is m at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56 + 159. Calculate the remainder when v is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3051 - -4378. Suppose 0 = 5*t + 1252 - b. Let l(p) = -p**3 + 8*p**2 + p + 3. What is the remainder when l(7) is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28158041\/5 less than or equal to 5631609?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, s: 3, i: 4, r: 2}. Give prob of picking 2 s.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 2754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -617624, -617557, -617416, -617177, -616816, -616309, -615632, -614761?\n\"Answer: 4*i**3 + 13*i**2 - 617641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a = -8*a - 3840. Suppose 0*d - 4*d + 2*q + a = 0, -3*d + 246 = -3*q. Calculate the highest common divisor of 195 and d.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -199*i - 2261. Does 4 divide f(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 4*l**2 + 15*l - 9. Calculate the smallest common multiple of z(-7) and 306.\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4612 - -124544\/27. What is the common denominator of o and -59\/30?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*p - 61 + 177 = -8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w. Let x(k) = -4029*k - 3555. Let m(y) = 5. Let n(c) = 711*m(c) + x(c). Give z(n(l)).\nAnswer: -8058*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*c - 9 = -99*c, 0 = t - 5*c - 2 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 14039.\nAnswer: 28078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 726?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence est when three letters picked without replacement from tsttetsi.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1496 + 1499. Which is greater: 41 or l?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-12)*3*-2*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4886 = 2*a - 1455, 4*a = -2*x + 2546. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 3\/2, -3, -4 in descending order.\nAnswer: 3\/2, -0.5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 710 and 312684.\nAnswer: 1563420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -11)*(35*4\/10)\/(-2)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*n + n + 20 = 0, z + 5*n + 25 = 0. Let m(j) = 2*j + 15. Let o(k) = -2*k - 15. Let w(q) = -2*m(q) - 3*o(q). What is the units digit of w(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 174, 152, 116, 66, 2, -76, -168?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1645 - -1641. Put 52, b, 0 in descending order.\nAnswer: 52, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 2.5. Let b = 7764 - 7763.8. What is the second smallest value in 12, b, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 628 = -4*s. Calculate the remainder when s is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-1 + 3 + -1) + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -2*f, 0 = 5*b - b + 4*f. Solve k - 3*y + 7 = b, 4*k - 2*y = 1 - 9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 0*v**3 + 0*v**4 + 1\/2*v**2 - 2*v + 0 + 2\/5*v**5. Let j = 4 + -5. What is t(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 22 - 64 + 2*s**2 + 23 + 7*s + 17. Let x be q(-4). Put 5, -4, x in decreasing order.\nAnswer: 5, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1291\/10471 - 11\/283. Let x = 13\/148 - j. What is the nearest to -2 in 4, x, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(36\/(-5)))\/((-95)\/(-76))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 205*h**2 - 102*h**2 - 3 - 100*h**2 + 5 in the form b + q*h**2 + y*h and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 19*h - 17*h - 28, 3*r - h = 21. Solve -4*o + 3 = -r*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 11*r - 36. What is the greatest common factor of 64 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1204 - -4?\nAnswer: 1213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 3. Let q = h + 5. Solve 0*m - r = -4*m - 17, -3 = 3*m - q*r for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21 - -1105?\nAnswer: 1126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.28 (b) 1717\/3 (c) 228\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*v - 25 - 7 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 116341*h**2 + 5694 with respect to h.\nAnswer: 232682*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*c + 18*c = 33 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 69214928 to the power of 1\/2, to the nearest integer?\nAnswer: 8320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2808\/2268 + (-6)\/(-63) - 34\/21?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 21. Are -5 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 38.01572nm?\nAnswer: 0.03801572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -111.199565 to 0 decimal places.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**10\/m*m*m**(10\/9))\/(m**(-4)\/m**(2\/9)) assuming m is positive.\nAnswer: m**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 6\/7, 1\/6, -3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4 - -19 - 16)*1997?\nAnswer: 7, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5638549427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 81*s + 57. Let u(c) = -10*c - 7. Determine 33*u(j) + 4*y(j).\nAnswer: -6*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -732, -3092, -7102, -12762, -20072, -29032, -39642?\n\"Answer: -825*b**2 + 115*b - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -9 - 11. Suppose 0 = -4*f - h + 36, -12*f = -11*f - h - o. Solve -4*g + 2*v + 10 = 0, 0*g + 5*v = -g + f for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 11:21 PM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/405 and 103\/44626788.\nAnswer: 223133940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2487735695?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -299*k**3 - 36*k**2 - 102*k + 2. Is n(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2221 divided by -2862\nAnswer: -2221\/2862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -16.22 times 19\nAnswer: -308.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + -31. What is w rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*z**2 + 0 - 4\/9*z.\nAnswer: -2*z*(z + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y + 9*y**3 + 76*y + 78*y - 158*y.\nAnswer: 9*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 522*d = 518*d + 95, -38 = -2*y - 4*d for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12223\/834 - -3\/278. What is the smallest value in 5, a, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 5*q + 1. Let f be r(1). Is 15\/(-5)*(-14)\/f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -26*i + 3. Let n(f) be the first derivative of -9*f**2\/2 + f + 2. Let l = -73 + 70. Let z(u) = l*c(u) + 8*n(u). Differentiate z(p) wrt p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2436444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -235.71154 + -0.1065\nAnswer: -235.81804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 12 + 21 = -4*x, -5 = -3*l - 5*x. What is the third derivative of 0*y**5 - 2*y**5 + 0*y**l + y**2 + 2*y**2 wrt y?\nAnswer: -120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**16*f*f**(-29)*f**42*f\/((f*f**(-1\/20))\/f) assuming f is positive.\nAnswer: f**(621\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 8*g**2 + 17*g - 19. Is n(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5 + 2*u**4 - 12*u**3 - 40*u**2 - 32*u.\nAnswer: u*(u - 4)*(u + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/23 and 57\/226.\nAnswer: 5198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51 + -36. Solve -5*h = -3*i + 2 - 13, 0 = 5*i - p for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*t + 11. Let c = -12 + 13. Let i(x) = x**3. What is the smallest common multiple of t and i(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + k - 6 = -k, 3*j - 3*k = -18 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(21)*-4)\/((sqrt(3) - sqrt(27)\/sqrt(576)) + sqrt(3)))**2 + -4.\nAnswer: 27772\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 3*z - 144. Let m be k(0). Let i = 207 + m. Is i < 63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 28, -4, -70 in increasing order.\nAnswer: -70, -4, -2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 + 133 = -5*c. Let d = -46 - c. Solve 0 = 3*s - d*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u - 3. Let a be v(-5). Suppose 3*f - 2 = -a*l, 2*l - 2*f - 8 = l. Suppose l*s - 87 + 11 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*j + 28931 = 27926 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 56\/12 - (-19)\/57 - 4. Let j(x) be the second derivative of -x**4\/6 - 2*x**3\/3 - 3*x**2\/2 - 20*x. Let m(f) = f + 1. Determine t*j(p) + 5*m(p).\nAnswer: -2*p**2 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 u when two letters picked without replacement from {u: 1, x: 1, y: 1, j: 2, r: 1, b: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 18*o - 22. Let d be h(-20). Does 19 divide ((-48)\/(-9))\/(d\/(-30) + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a - 41c?\nAnswer: -412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 44653 - 265?\nAnswer: 443aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 559293164?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) -1 (c) -15 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*k - 117*k = -4*t + 247131, 4*k - 20 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -249 less than -1?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 15. Find the third derivative of 10*v**5 - 21*v**2 + 8*v**2 + 2 - t wrt v.\nAnswer: 600*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21238655 is divided by 1519.\nAnswer: 1516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 3:52 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of d**4\/12 + 7*d**3\/3 + 9*d**2\/2 - 5*d. Is s(-17) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 5)*(-11*x**4 - 4*x**4 + 14*x**4)*(0*x + 4*x - 3*x).\nAnswer: -x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*h**2 - 30211*h + 3*h**2 + h**2 + 30207*h - 6*h**2 - 4.\nAnswer: -28*h**2 - 4*h - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of o**3\/3 - 11*o**2\/2 - 11*o - 80. Give l(11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**6*x**9 assuming x is positive.\nAnswer: x**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.3? (a) -1\/2 (b) 0 (c) -3 (d) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w + 2*b - 0*b + 2*b + 451, 3666*b - 562 = 3*w + 3671*b for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 8 - 15 - 4*r + 6. Give k(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4641 is divided by 330.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 2001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 3, -3, -29 in increasing order.\nAnswer: -29, -3, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12214 - 12219. Which is the fourth smallest value? (a) -0.02 (b) t (c) 0.1 (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 3*n + 90 = 0. Suppose x + 1 + 2 = 0, a + x = n. What is the units digit of (-6)\/a - (-266)\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**3 + l**3 + 2*l**2 - 9*l**2 + 4*l**2.\nAnswer: -3*l**3 - 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**3 - 6*n**2 + 4*n + 1. Calculate w(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r. Let n be o(0). Let q(a) = -a**2 - a + 32. Is 13 a factor of q(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - u)*(811 - 1203 + 575).\nAnswer: -183*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - 0) + 44\/44. Solve -8 = -t*h + 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*z**3 - 136*z**2 - 2.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1062 + -1062. Let q(n) be the first derivative of 0*n**4 + g*n**3 + 0*n**2 - 15*n - 5 - 16\/5*n**5. What is the first derivative of q(i) wrt i?\nAnswer: -64*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -o**4\/4 - 5*o**3\/6 - o**2 - 32*o - 6. Let g(f) = 4*f**2 + 4*f + 2. Give 5*g(k) + 4*x(k).\nAnswer: 8*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 1296.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 21 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w + w**2 + 54*w**3 + 164854 - 164854. Let f = 0 - -1. Does 18 divide n(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001150293 to 6 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4932 by 1.\nAnswer: -4932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 3*v. Let o(i) = 2*i + v*i - i - 3*i. Let p(z) = -10*z. Calculate p(o(d)).\nAnswer: 20*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21070.48 litres?\nAnswer: 21070480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*n**3*y**3 - 3*n**3*y + 383*n**3 - 2*n**2*y - 791*n*y**4 wrt y?\nAnswer: 96*n**3*y - 9492*n*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4709.\nAnswer: 17, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 5:41 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (90\/(-50))\/(1\/(-5)). Let a be 0\/(3\/((-6)\/(-4))). Suppose p*x - 6*x = a. Which is greater: -2\/177 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6\/5*l**2 - 6\/5*l - 2\/5*l**3 + 2\/5 = 0. What is l?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ksw when three letters picked without replacement from {w: 1, v: 3, k: 1, d: 2, g: 4, s: 1}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, x: 1, s: 3}. What is prob of picking 2 s, 1 e, and 1 x?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*v - 3. Suppose -a + 24 = 3*b, 18 = 4*a - v*b - 50. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.5684 milligrams in grams?\nAnswer: 0.0675684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c973273 + -b?\nAnswer: -c973281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4 + 0 = 3*l, 3*k - 2*l = 23. Suppose 2*r - 47 = j, -2*r + 8*j - k*j = -35. What is the greatest common divisor of 374 and r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -18*f**2 - 17*f + 17. Determine t(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3348*p**2 - 3347*p**2 - 4*p + 4*p. Let c(i) = -53*i**2 - 13*i - 24. Let m(w) = 18*w**2 + 4*w + 9. Let y(n) = -3*c(n) - 8*m(n). What is y(z(s))?\nAnswer: 15*s**4 + 7*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/4)*t*t)**(2\/81)*t\/(t\/(t**(-1\/41)\/t))*t**(3\/8)*t assuming t is positive.\nAnswer: t**(1199\/2952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*1\/(-6) + 13\/3. Let y(r) be the third derivative of -1\/120*r**6 + 0*r**v + 0 + 0*r**5 + 0*r - 3*r**2 - 1\/2*r**3. Differentiate y(z) wrt z.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*q)*(-2 + 1 + 2) - 5 + 2 + 2*q + 2 + (-2*q + q - 2*q)*(-1 - 21 - 4).\nAnswer: 82*q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.059254 to three dps.\nAnswer: 0.059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xaxuaxuuuaaxau. What is prob of sequence ux?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133749?\nAnswer: 3, 7, 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 486827 to the nearest integer?\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 2*t = 11*n - 6, -3*t = -5*n + 7. Let z(c) = 11*c**n - c**3 - 66 + 119 - 10*c - 54. Determine z(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**4\/3 - 5*o**3\/3 + 5*o**2\/3 + 5*o\/3 - 2 = 0.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -15*x**3 + 5*x - 9. Let u(i) = 5*i**3 - 2*i + 3. Determine 4*k(j) + 11*u(j).\nAnswer: -5*j**3 - 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -988*q**3 - 1271*q**2 - 7*q - 7. Let c(m) = 493*m**3 + 634*m**2 + 3*m + 3. Let f(b) = -7*c(b) - 3*i(b). Find the third derivative of f(r) wrt r.\nAnswer: -2922","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 8 = -5*o, -o + 2*m - m = 1. Let h = o + 8. Solve 5*r = h*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 0.8, 73, -0.12?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 - 1 - (-2 + (4 - 4)\/6). Solve -y*m + 2*m - 40 = 4*h, -m + 3*h = -10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29731.2 times -1?\nAnswer: 29731.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*z - 28812 + 21 = 0. What are the prime factors of z?\nAnswer: 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 328 + 314 = 4*v + 2*o, -4*v - 4*o + 640 = 0. Is v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 776242\/(-8499)*(85\/10 + -2 - 5).\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(2\/11)\/q))\/(q**(5\/4)*q))**(2\/19) assuming q is positive.\nAnswer: q**(-1\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b = 25 + 63. Let n be 5\/5*(-16)\/b. Solve -n*q - q - 15 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 40658113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -5*b**2 - 8*b + 12. Let s(o) = o**2 + 2*o - 3. Suppose -5*p + 2*f = 69 - 20, -42 = 4*p - 3*f. Give p*s(q) - 2*v(q).\nAnswer: q**2 - 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5773403962 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 7:05 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/15 of a week?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*4*sqrt(85)*2*2)\/(sqrt(605)*-5 - (3*sqrt(20))\/sqrt(4)).\nAnswer: 40*sqrt(17)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.500092 and -0.099455881.\nAnswer: 0.400636119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1800 and 81369000?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4855.4nm to millimeters.\nAnswer: 0.0048554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -25454, -50908, -76370, -101840, -127318, -152804, -178298?\n\"Answer: -4*k**2 - 25442*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and ((-27)\/(-6))\/((-18)\/(-24)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 6*g**2 + 5*g + 5. Suppose 0 = 5*h - 5*l + 30, 38 = -4*h + 3*l - 6*l. Let c = 14 + h. Is a(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - b - 1. Let i(u) = -4*u + 1. Let o be 2 - ((-97)\/(-194))\/(1\/6). What is o*v(q) + i(q)?\nAnswer: -q**2 - 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -n**6\/180 + n**3\/3 + 3*n. Let y(l) be the second derivative of h(l). Let p(o) = 4*o. Calculate p(y(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 6. Suppose q - 4 - 1 = -4*d, s = -3*q - 4*d + 39. What is the remainder when 33 is divided by q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 8*s + 37. Let q be w(4). Put q, 1, 5 in decreasing order.\nAnswer: q, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -157 - -247. Calculate the least common multiple of o and 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 199612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 104 - 102. Solve -b*s + 17 = 19 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l + 96590 - 24154 - 24151 - 24131 - 24154.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52 - -118. Let c = 71 - p. Suppose c*f - 45 = 4*i + i, -5*f = 4*i - 9. Let o(s) = -s**3 - 5*s**2 - 5*s + 3. Determine o(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifty-three fifths of a millimeter?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 45 = 4*d. Let w(r) = -r**3 - 10*r**2 - 8*r + 12. Let h be w(d). Suppose -4*m = -h*u - 1615, -3*m - u = u - 1190. Round m to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*n - 5654 = -693*n for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3fb - -18f?\nAnswer: -26c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i - 75*i + 0*i - 50*i - 59*i.\nAnswer: -175*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -216 - -221. Solve -m*j = -4*r - 2, 2*r + 9 = 2*j + 7 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22643 - -0.019554916.\nAnswer: -22642.980445084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37515872*s**2*t + 90*s*t - 7*s - 580 wrt s?\nAnswer: 75031744*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/78 - (-134128)\/(-5252).\nAnswer: -51\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*h + 1437*h + 882 = 13642 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5652937 to the power of 1\/3, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-1494)\/378)\/((-3270)\/(-13734))\nAnswer: -83\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 p when four letters picked without replacement from {p: 5, v: 3, i: 1}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**2. Let w(k) = -8*k - 2. Let t(d) = -16*d - 4. Let v(i) = 3*t(i) - 7*w(i). What is v(r(j))?\nAnswer: -16*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -3*u**4\/7 - 159861*u**3 + 13428693*u**2\/7 - 3357231*u - 15666882 = 0.\nAnswer: -373021, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 483716267?\nAnswer: 483716267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (582 - 571) + (1 + -1 - (-1 + (3 - 1)))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-347628)\/1964*(-6)\/(-18).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 - (11 - -11 - 14)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 91331153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -17939617, -71758355, -161456253, -287033311, -448489529?\n\"Answer: -17939580*z**2 + 2*z - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45812 - 86616 + 56928 = 139*h for h.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318265053 is divided by 649.\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3011322031 - 11?\nAnswer: 3011322020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6229368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23 and -53\/22520.\nAnswer: 22520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 20 + -162a?\nAnswer: -160a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 535*q = 526*q - 9. Calculate the common denominator of 37\/30 and 0\/(-4) + q + 183\/72.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 6*s - 20. Suppose -4*g + 388 = 5*x, 0 = s*g - x + 52 - 464. Let b = g - -26. Does 13 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4*d - 6 = 0, 3*f + 4*d - 4 = 1. Which is smaller: f or 6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 450*h**2 + 2052*h + 2051*h - 4103*h + 4 to the form v*h + n + f*h**2 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 2*i + 10, -2*i + 4*i = 5*b - 11. Let l(h) be the first derivative of 29*h**2\/2 + 1. Does 15 divide l(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/9)\/(((-24)\/(-4))\/(-3)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -139 + 36?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/2)\/((120\/288)\/((-115)\/(-46)))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 5, -2*u = 3*u + 4*t. Let p be (-2)\/4 - (-6)\/4. Sort p, 4, u in descending order.\nAnswer: 4, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -170, -186, -204, -218, -222?\n\"Answer: n**3 - 7*n**2 - 2*n - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 8441537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 922 or 970?\nAnswer: 970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j + 35. Let h(v) = -4*v - 45. Let s(o) = -6*f(o) - 5*h(o). Give s(-6).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((4\/15)\/(1852\/2315))\/(-41))?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5 + 1 + sqrt(2448) - 6*(4 + sqrt(2448) + 2 + sqrt(2448)))**2.\nAnswer: 8712*sqrt(17) + 297297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -153 + 188. What is the remainder when x is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -385 + 385. Suppose t = -4*j - 9*d + 10*d + 21, 4*j = -d + 11. Sort -1, 25, j in increasing order.\nAnswer: -1, j, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 97 + 524)*(-3*q**2 - q**2 - q**2).\nAnswer: -3175*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-11 - (-12 + -19))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1074115 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-13)\/117)\/((-2)\/4). Let d = 212 + -320. Let i = d + 108.1. Which is the closest to i? (a) m (b) 0.3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 379911?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -3*l - 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54.76111 - -0.13489. Let q = 0.104 + u. Let x = q + -50. Which is the biggest value? (a) 3 (b) -2 (c) -3\/2 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/9 - 277258*q\/3 - 3327064\/9.\nAnswer: -2*(q + 4)*(q + 415883)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 136543 - 22.1?\nAnswer: 136520.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0*b - 2 + 2*b)*(b**4 - 28*b**3 + 2*b**4 + 27*b**3).\nAnswer: 6*b**5 + b**4 - b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.8 - 0.7. Let b = -1.9 - d. Let m = 2.4 + b. Round m to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 41 (b) -26\/25 (c) -4\/3 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 - -24?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1618548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 175721266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1481 (base 12) to base 16\nAnswer: 961","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18397 to the power of 1\/2, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 6:34 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21\/4 of a micrometer?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 3, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n - 2. Let i = 50 - 26. Let z be -15*(3 - i\/9). List the prime factors of v(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -105, -3, 4, 287 in descending order.\nAnswer: 287, 4, -3, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(270)*2)\/((sqrt(216) - sqrt(216)*-2) + sqrt(6)))**2*-1.\nAnswer: -180\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 + 45. What is the third derivative of 25*o**4 - 264*o**3 - 28*o**2 + 264*o**3 + h*o**2 wrt o?\nAnswer: 600*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -3, -2, -4, -55 in ascending order.\nAnswer: -55, -4, -3, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 2*w - 623, -4*w + 1281 = 2*m + 51. Let k = m - 617. Let o(y) = 2*y + 4. Determine o(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40385?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -37, -40, -49, -70, -109, -172?\n\"Answer: -k**3 + 3*k**2 - 5*k - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 + 6 - -12) + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 308568 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*r + 45*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3. Let a(h) = 3*h**3 + 4*h**2 + 4*h - 1. Let v(q) = a(q) - 2*l(q). Let m be 51\/68 + (-45)\/12. Give v(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a**2 - 2294*a - 764 = 0. What is a?\nAnswer: -382, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4\/9 + 32*l**3\/9 + 50*l**2\/9 - 28*l\/3.\nAnswer: 2*l*(l - 1)*(l + 3)*(l + 14)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20.3288 - 3538.\nAnswer: -3517.6712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-930 - -947) + 2 + 15*-1. Let d = 5 + -3. Let g(t) = t**2 + 4 - t**3 - 2 + 2*t**2 - 4*t + d*t**2. Calculate g(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v - 2. Let p(u) = 2117*u - 1 - 704*u - 703*u - 705*u - 1. What is 5*h(x) - 6*p(x)?\nAnswer: -10*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f. Let k(d) = -551214*d. Give k(g(c)).\nAnswer: 1102428*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 116549268 divided by -511181\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 13. Suppose -5*q + s = -8 - 13, 4*s = p*q - 20. Is 2*6*q - 2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -186 + -7?\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18199*p - 18326*p - 5207 for p.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -296*z + 284*z = -12. Let h(t) be the first derivative of t**6\/180 - t**5\/120 + t**3\/3 + 5. Let d(m) be the third derivative of h(m). Determine d(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.599 to 2 decimal places.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m**2 + m**2 + 0*m**2 + (0*m + 0*m + 2*m)*(m - m - 2*m) - 2*m**2 + 2*m**2 + m**2 + 3*m - 5*m + 3*m - 13*m**2 to the form f + o*m + k*m**2 and give k.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 309 times -6.03702\nAnswer: -1865.43918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11215343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -r - 5*o, -r + 5*o - 16 = o. What is the nearest to -0.2 in -2\/21, 0.07, r?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - (7 - (-18 + (24 - 3)))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 33*t + 14. Let d(z) = -z - 85. Let s(j) = -16*j + 501. Let f(p) = 6*d(p) + s(p). Give 8*f(y) + 5*q(y).\nAnswer: -11*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1728) + -2*sqrt(1728)*-4)*-1)\/(((-1*sqrt(441) - sqrt(441) - sqrt(441)) + sqrt(441))*3 + (-1*sqrt(441)*-4 - sqrt(441))).\nAnswer: 24*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -132.093 to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -3\/4, -5, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -112?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -7741?\nAnswer: -2322.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -72 + 72. Let b = 979\/756 - 34\/27. Which is greater: j or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 899000 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1485645689 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k - 36411 + 109241 - 36418 - 36412.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*c - 131*c = -116. Solve 5*g + l + l - 26 = 0, -3*g + 6 = -c*l for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t - 2*t + 4*t)*(-32 + 32 - 21*t) - 3590*t + 17*t**2 + 97*t**2 + 3592*t - 21*t**2.\nAnswer: 135*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x - 17*x = 0. Solve j = -5*s + 15, 2*s + 2*s + j - 11 = x for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {l: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*u - 107*u = -31*u - 2021 for u.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -509*p + 504*p = -r - 33, r + 4*p - 48 = 0. Suppose 4*w + 9 - 65 = -2*k, 0 = 4*k. What is the least common multiple of r and w?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -186 + 196. Let x = -15 - -25. Let h = x - f. Which is the smallest value? (a) 1\/6 (b) 1\/36 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkeekqkkkqqkqqeke. Give prob of picking 2 k.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 - 2*h**3 - 2*h**3)*(5*h + h - h) + 0 - h**4 + 0 + (-3*h**3 + 3 - 3)*(-1 + 1 - h).\nAnswer: -13*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 2303.\nAnswer: 25333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 867, 866, 863, 858?\nAnswer: 851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 10*v - 6. Let a be i(-11). Solve 0*h + 2*h = -2*w, 10 = -5*w + a*h for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*f, -f = -3*b + 2*f + 6093. Let w = 3176 - b. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-4))\/((-10)\/8). Let q = 67.2 - 67. Sort n, -3, q.\nAnswer: -3, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -25. Let k = 16 - 24. Let m = k + 14. Calculate the greatest common divisor of a and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 9146 (b) -3\/88 (c) -1 (d) -0.5 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -54, -55, -56, -57?\n\"Answer: -a - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 935861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -94\/825 and 107\/2250.\nAnswer: 24750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -2 (b) -648 (c) 718 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 13*n**2 + 20*n - 1. Give k(11).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g + 11*g - 2*g + 15*g.\nAnswer: 19*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 6. Suppose 0 = 19*j - 9*j - 50. Suppose -m*h = -4*n + 52, 3*n - 18 = -j*h + 21. Calculate the highest common factor of 104 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.16 + 8.16014008. What is o rounded to six dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 6*p**2 + 1. What are the prime factors of a(-5)?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 97, 360, 875, 1726, 2997?\nAnswer: 4772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 - 81. Let v be (d\/(-14))\/((-3)\/3840). What is v rounded to the nearest one hundred?\nAnswer: -4500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12197 divided by 4857.\nAnswer: 12197\/4857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-3 + -1))*(20 + 1159\/(-57))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62532 + -111789. Let d = 3265061\/66 + w. Let r = 635\/3 - d. Calculate the common denominator of 121\/12 and r.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -0.197415.\nAnswer: 0.078966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**2 + 2*j - 1. Let h(y) = 4*y**2 + 2*y. Let c(z) = -2*h(z) + 3*i(z). Let q = 6 - 41. Let x = -33 - q. Determine c(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, u: 3, z: 7, t: 4, g: 1}. Give prob of picking 1 t and 1 g.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 39, 36, 31, 24, 15, 4, -9?\n\"Answer: -u**2 + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 213 - 27. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9*(-10)\/(-180))\/(((-15)\/6)\/1)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 7*p**2 + 7*p - 3. Let c be a(6). Let q = c + 0. Suppose -q*j - 3*n + 3 = 0, -5*j - 3 + 32 = -3*n. Solve 0*s = -j*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = -c + 6*c - n, -195 = -5*c + 4*n. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(7200) - (sqrt(7200) + 1)) + sqrt(7200))**2 - (4 + sqrt(6)\/(sqrt(243) - sqrt(3)))**2).\nAnswer: -121*sqrt(2) + 230047\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(288) + 1 + 5))**2.\nAnswer: 2304*sqrt(2) + 5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -j + 48. Let y = 42 - j. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27409e (base 16) to base 11.\nAnswer: -14a7798","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (0 - (0 - -3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 311, 310, 309, 308?\n\"Answer: -s + 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*v - 2 + (-3 + 3 + 2*v)*(3 - 1 - 1) + 2*v + 2*v - 3*v + (-2 + 2 - 2)*(-6*v + 4*v + 42*v) in the form k + b*v and give b.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 12*l - 13. Calculate w(13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 0 = 3*h - 2, 0 = 4*h + 4*s. Suppose h*o = -2, -2*n = 2*n + 5*o + 5. Solve -4*b - b - 5 = n for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v - 56. Let s be n(-32). Solve 6 = s*x + 38 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 162, 487, 1108, 2121?\nAnswer: 3622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**5 - 120*d**4 + 970*d**3 - 2880*d**2 + 2025*d.\nAnswer: 5*d*(d - 9)**2*(d - 5)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16848\/4992)\/(6\/16).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 1281 = -61. Let y = 288 + b. Calculate the remainder when 154 is divided by y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1413000 to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 24 = 6*s + 4*v, -3 = 3*v for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q + 3*q = -5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 - 1060*w**2 - 56180*w.\nAnswer: -5*w*(w + 106)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 94677933*y**2 - 75246167 wrt y.\nAnswer: 189355866*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 266 divide 2290704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ns when two letters picked without replacement from nmmwmmmms?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 259024 a multiple of 291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3 + 0*y + y + 3 + y**2 - 3. Let f be q(-3). Let j(l) = 6*l + 3 - f + 0*l. Let n(a) = -a. Calculate n(j(z)).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 6575166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 6. Let h = 78 + -270. Let x = -196 - h. Which is the closest to -0.1? (a) u (b) 3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 13*h**2 - 17*h - 48. Let i be s(-14). Let p(a) = 9*a + 2*a**2 + 0 - 2 + 2. What is the remainder when p(i) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 - 25 + 46 + 33*p to r*p + b and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**3 - j. Calculate a(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3319 = -3*b, -4*k + 2202 = 16*b - 14*b. List the prime factors of b.\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**2 - 294606*g. Let p(k) = -k. What is p(i(x))?\nAnswer: 2*x**2 + 294606*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o + 4*b - 7 - 1, 2*o + 2 = -4*b for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 10:47 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/23 in 2\/3, -4\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3 + 1371*k**2 - 193473*k + 8686305.\nAnswer: -3*(k - 235)*(k - 111)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1183684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28 + -2.63.\nAnswer: -30.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 15) + (3 + 1 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7.036687 millilitres?\nAnswer: 0.007036687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 73 + -809\/11. Sort 4\/7, 0.04, b in descending order.\nAnswer: 4\/7, 0.04, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 17*l + 44. Let f be g(13). Let u be 8822\/88 + 2\/f. What is the greatest common divisor of 8 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11110011110001010 (base 2) to base 10.\nAnswer: -124810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 545 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 6*g + 10. Let f be v(-7). Let m = f + 196. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4 - (-6)\/((-36)\/65) and 81\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -1 + (-33 - (-54 + (-8 - 27)))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/65*(-315)\/(-12 - -3).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-60)\/110*(-66)\/9. Solve -5 + 18 = v*h - r, 0 = -3*h - 5*r + 27 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.42 - 1917880?\nAnswer: -1917879.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11352785*b**3*m - 88*b**2*m - b - 11600 wrt b?\nAnswer: 68116710*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 84*k**2 - 15*k. Let t(n) = 7*n. What is s(t(x))?\nAnswer: 4116*x**2 - 105*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -144 - -150. Suppose -3*c + 2 = 4*q - n*q, -5*c + 4*q = -2. Solve c*b = 4*b + 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/105)\/(28\/(-70))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g. Let l(b) = 91*b**2 + 28*b. Determine n(l(w)).\nAnswer: -182*w**2 - 56*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9603 + 16483. Is z a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.47 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-2) - (-2 - 1). What is the common denominator of -97\/8 and z\/(-4) + 324\/24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -5*q + 228. Suppose -3*y - 7*p - 94 = -6*p, p = -4. Let v be n(y). Calculate the highest common divisor of 14 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2415)\/(-207) + 455\/105.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 = 2*m + 13. Let l = m + -34. What is the greatest common divisor of 5 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/(-336)*2*2*-1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*x**2 - 103*x**2 + 51*x**2.\nAnswer: 14*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003002321418 to 5 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.888 - -190383995?\nAnswer: 190383989.112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-27)*t*t*t**(-1\/29)*t**(-1)*t\/t**20 assuming t is positive.\nAnswer: t**(-1277\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3 = m, 5*m = 2*d - 17 + 53. Solve 0 = -4*l + 5*i + 13, -5*l - 5*i - m = -6*i for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -7\/2386361 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7900063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 104*y. Let u(k) = -2*k**2. Determine r(u(w)).\nAnswer: -208*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*w = -2*u + 21*w + 134, -2*w = -2. What is the lowest common multiple of 44 and u?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/32 and (2\/(-7))\/2 - 98352\/(-32256).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) + (sqrt(84)*-1 - sqrt(21)))\/(sqrt(70)\/sqrt(10)*-2))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151825 = -98*k + 152609 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 2. Let q(d) = -28*d + 5*d - 6*d - 6. What is the tens digit of q(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 15*o + 443. Let v be r(-30). Let l = -1 - 5. Is l < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 70\/3. Let j be -8 + (-210)\/(546\/(-26)). What is the nearest to j in 4\/3, z, 9?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 2 (c) 5\/2 (d) -6 (e) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 4. Suppose -j = 2*u + 16, 8*u - 3*j - 42 = 13*u. Which is smaller: g or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 7 + 3. Let m be (10 - 6)*3\/(-4). Let n = -1 - -4. Put n, w, m in decreasing order.\nAnswer: n, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1789*a = -1944*a - 3875 for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 10 = 4*k, -5*k - 12 = 2*m - k. Let a(d) = -2*d + 4. Let n(q) = 1. Let z(i) = m*n(i) + a(i). Give z(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4 and 41\/1548.\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 4:12 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 1:36 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -154*b + 9 + b**4 - 10 + 179*b - b**3 as t*b**3 + g*b**4 + z*b**2 + v*b + m and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-144)\/(-40))\/((-1)\/(-5)). Suppose q + 63 = 3*u. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/42)\/(2\/6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**2 + g + 57. Let d be q(0). Calculate the highest common divisor of d and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 + (-30 - 28 - -97)?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 530429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11873\/718 or -18?\nAnswer: -11873\/718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**3 - 5*b**2 + 4*b. Let g be v(3). Let s be (62\/(-4))\/(1350\/(-900)) - (-10)\/6. What is the greatest common divisor of g and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 78 - 679?\nAnswer: -601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 35 = -6*x + 5*m, 0 = -3*x - 5*m - 5. Let u be -1*4 - 40\/x. Factor 0 + 2\/5*g**u + 2\/5*g + 6\/5*g**2 + 6\/5*g**3.\nAnswer: 2*g*(g + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 2)\/(2\/(-1))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -1 + 5 + 1 - 4. Let v(l) = l**2 + 5. Let w(c) = -5*o(c) + v(c). Let z(m) be the third derivative of m**4\/3 - 8*m**2. Give z(w(d)).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100000111111100 + -1111?\nAnswer: 100100000111101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -3) + -1 + (1 - -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 97 - 93. Put -0.4, w, -2\/13 in descending order.\nAnswer: w, -2\/13, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -551*a = -6819 - 6956. Solve 4*h + 15 - 35 = 2*x, x = -5*h + a for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 115*-11.388\nAnswer: -1309.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 7*m**2 - 6*m + 8. Let b be a(6). Let n be 60\/(-16) - 663\/(-52). Solve 1 = b*w - n*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -17 + (-200)\/(-8) + -4. Let o(p) = p**3 + 2*p**2 - 5*p - 3. Let b be o(-3). Suppose -b + 9 = 3*j. Solve 20 = 4*n - 4*g, 0 = v*n - j*g + 5 - 23 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - q - 30 = -u, 2*u + q - 26 = 0. Is u even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 785 is divided by 163.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 1:37 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011011000101 (base 2) in base 11?\nAnswer: -441a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2154*i**3 - 2*i + 839*i**3 + 954*i**3 to the form h*i + c*i**2 + q + n*i**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -447.3 take away 37157?\nAnswer: -37604.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven sevenths of a week?\nAnswer: 15840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 616?\nAnswer: 619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f**2 + 77*f + 25. Let g be i(-19). Let a(m) = 8*m - 14. Let t be a(g). What is the highest common divisor of t and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -99*f + 3. Let p(a) = 7424*a - 224. Let h(c) = -3*p(c) - 224*r(c). Let j(d) = -10*d. Calculate h(j(q)).\nAnswer: 960*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-10)*(k\/k**(-2\/5))\/k*k**(-2\/17)*k**(-5))**(-12\/11) assuming k is positive.\nAnswer: k**(15012\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 l when two letters picked without replacement from mltrolm.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3122\/5 + -624. Let i = -63\/13 - -5. Which is the third smallest value? (a) -1\/9 (b) i (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f + 1. Let s(g) = g. Let o(v) = -4*s(v) - t(v). Determine o(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.184 rounded to 2 decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -10. Let j be 220\/14 - (-6)\/21. Find the third derivative of x**3 + 16 - 3*x**3 + 5*x**w - j wrt x.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24849, 99089, 222711, 395715?\nAnswer: 618101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c + c**2 - 2*c**4 - 416*c**3 - c + 416*c**3 - 7 as x*c**2 + z*c + t*c**4 + u + y*c**3 and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -4*k**3\/3 + 5*k**2\/2 - k. Let v(s) be the third derivative of -3*s**4\/8 + s**3 - 2*s**2 - 3910. Determine -7*p(t) + 6*v(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 160 + -279. Suppose -2*w + 8 = 4, -3*t + w + 172 = 0. Let q = t - u. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w**3 - 16*w**2 + 10*w + 39. Let j(x) = 2*x**3 + 7*x**2 - 4*x - 19. Let s(a) = 3*g(a) + 5*j(a). What is s(12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 308135 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 212122619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*y + 27*y - 31*y + 26*y.\nAnswer: 35*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 2*i + 8, -s + i + 5 = -1. Suppose 4*c - 3*c - s = 0. Suppose 0*d + 5*d = 0. Sort d, c, -1 in descending order.\nAnswer: c, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + ((1*sqrt(12) - sqrt(12))\/sqrt(6) - (sqrt(18) + 1))**2 - (((sqrt(264)*-3)\/sqrt(11) - sqrt(24))\/sqrt(12) + 3)**2).\nAnswer: -120*sqrt(2) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 360 is divided by 35?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*c = 3, y + 3*y - 4 = -3*c. Suppose -5*t + 1 = -s, 3*t + s + 2 = y. Suppose -b = -t*b - 20. Solve k = -4*k - b for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445598 to the power of 1\/2, to the nearest integer?\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -500227788*n**2 - 580107629.\nAnswer: -1000455576*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221 = -4*u + 111. Suppose -4*h - 3*w = -u, -w = -2*h - 0*h + 29. What are the prime factors of h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-18)\/m**(8\/9) assuming m is positive.\nAnswer: m**(-170\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-148)\/(-259) - (1719304\/(-14) - 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134274879.9 microseconds to weeks.\nAnswer: 0.00022201534375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62973?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-2040)\/(-72))\/((-25)\/(-15))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 439025 - 584.238.\nAnswer: 438440.762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 6*u**2 + 273*u + 2582. Give a(-9).\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -19921 and -19921 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 33363, 33364, 33365, 33366, 33367?\n\"Answer: g + 33362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -63824d (base 14) to base 6\nAnswer: -200040513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 d when two letters picked without replacement from yyyyyddd.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -637 - -639. Let f(j) = -j**3 - 2*j. Let d(p) = p**3 + p**2 + 2*p. What is z*f(l) + 3*d(l)?\nAnswer: l**3 + 3*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -31724, -63441, -95158, -126875, -158592?\n\"Answer: -31717*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1154211131 to the nearest integer?\nAnswer: 33974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -508*z - 82 with respect to z.\nAnswer: -508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -45375 times 0.5?\nAnswer: -22687.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uque. What is prob of sequence uq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 3*t - 12, -4 + 8 = 2*t - 4*m. What is the third derivative of 83*i**4 + 2*i**3 + 7 - 4*i**3 - 3 + 0 + t*i**2 + 7*i**2 wrt i?\nAnswer: 1992*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 50198*k**4*r**3 - 39*k**3*r**3 + 2*k**2*r**3 - 40212*k**2 wrt k?\nAnswer: 1204752*k*r**3 - 234*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(384)*6)\/(-1*sqrt(20)\/sqrt(10)).\nAnswer: -48*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s - 5*s - 2*s + (1 + 1 - 11)*(-s + 0*s - 2*s) - 3*s + 2*s - s as v + y*s and give y.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 39*i + 41*i)*(14*i + 8*i - 3*i) - 4 - 3*i**2 + 3 + 7*i**2.\nAnswer: 42*i**2 + 38*i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 8, 23, 46, 77, 116, 163?\nAnswer: 218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 246615.77\nAnswer: -123307.885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p - 8. Let v be w(-7). Let k = 6 + v. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*n - 61290 = 2560*n - 203770 for n.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1267488340?\nAnswer: 2, 5, 63374417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 14*((-8)\/(-6))\/(368\/(-276))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 841, 749, 597, 385?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2298214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -3, 1\/2, 0.8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2b (base 14) to base 3\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 2:18 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 140 - 290. What is the common denominator of -51\/28 and ((-25)\/(-16) - 1)*b\/(-63)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - h + 7. Let o be m(-4). Let d be 4 + 0\/o - 4. Solve 0 = 3*v - 6*v - 4*z + 3, z + 3 = d for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82698, 82764, 82830, 82896, 82962, 83028?\nAnswer: 83094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4191, 4198, 4205, 4212?\nAnswer: 4219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/3))**(2\/3)*(r\/((r**(-2\/11)\/r*r)\/r*r))**(2\/7) assuming r is positive.\nAnswer: r**(542\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4661349 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 273 + -272. Which is the nearest to -0.2? (a) -3 (b) 12 (c) -1\/4 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 7*c - 3. Let i = 5 + 1. Let r be y(i). Let u = -5 - r. Solve 2*w + u = w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34924 or -34932?\nAnswer: -34924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3874005.\nAnswer: 3, 5, 19, 23, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y = -321 + 1269. What is the remainder when y is divided by 23?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50560, 50494, 50374, 50200?\nAnswer: 49972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -52*g**5 + 7*g**4 + 3152*g**2 wrt g?\nAnswer: -3120*g**2 + 168*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**2 - 12*h**2 - 8*h**2 + 16*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -9*s - 50. Let w = 26 + s. Let l = -12.7 + 15.7. Which is bigger: w or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*s + 12, 4*s + 0 = t - 3. Is 5 a factor of 4\/6 - (-49)\/t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q*x**3 + 53*q*x**2 - x**4 + 5*x**3 wrt x?\nAnswer: -12*q - 24*x + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**3*r**2 - 44*b**3*r + 155*b**3 - 2*b**2*r**2 + 4*b**2 - 242*r**2 wrt b?\nAnswer: 12*r**2 - 264*r + 930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - u + 234 = 4*k, 5*u = -4*k + 323. Suppose -216*i = -215*i - 114. Let y = i - k. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68974733.\nAnswer: 89, 774997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -423129000 divided by 125.\nAnswer: -3385032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -28, 0.5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(24)\/(sqrt(8) + (sqrt(392)*-1 - sqrt(392)) - sqrt(8)).\nAnswer: -sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 18. Let i be (-81)\/(-15) - 4\/10. Let d(o) = o**3 + 6*o**2 + 4*o - 1. Let t be d(-5). Solve i*f - t*m = 12, 4*f + m - j = 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -3*v + 232. What is the remainder when 113 is divided by v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 5*v**4 + 4702615*v**3 + 1105755255990*v**2 + 12162879881280*v + 33171105830400 = 0.\nAnswer: -470256, -6, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*u - 20*u + 7 + 2*u)*(2 + 3 - 4) to s*u + l and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b. Give i(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z - 5. Give v(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 4*q**2 - 2*q - 4. Let y be 2*(-3)\/12*2 + 3. Suppose y*m + 6 = -w + 17, -3*w - 3 = -3*m. What is r(m)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/2)*o)**(-1\/9)*(o**(1\/4))**(-3))\/((o**1*o)**(-14))**(5\/11) assuming o is positive.\nAnswer: o**(4721\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 26\/5 of a meter?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 374 equal to 41101\/110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in kilograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-30)\/(-7) + 6\/(-21). Suppose f - 5*d = 7, 0*d + 4*d = -2*f. Suppose -2*x - f*x + 28 = 0. Solve -4*w + 0*w - x = -z, -2*w = -b*z for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43455681778714193\/226316 - 192013299009. Let j = 69\/1951 - k. Let c = -2\/29 - j. What is the third biggest value in 4, 3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -92*b + 89*b + 47, -11*b + 111 = -3*y for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4744 is divided by 39?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -l**6\/24 - 7*l**3\/6 - 5*l**2. Differentiate r(w) wrt w.\nAnswer: -15*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -5*g + 10 + 10, 54 = -80*g + 87*g + i for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5900 and 2?\nAnswer: 5900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 32, 3, 5, -111.\nAnswer: -111, -1, 1, 3, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 103 = 19. List the prime factors of (1288\/d)\/((-4)\/6).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112 divided by 494\nAnswer: -56\/247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + c + 1. Let l(y) = 3*y**2 + 10*y + 10 + 0*y + 6*y**2 + 2*y**2 - 3*y**2. Calculate -6*l(o) + 60*v(o).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 17 = -4*z, 4*m + 56 - 58 = 2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 60\/(-8)*64\/(-10). Let p = n + -4. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, -3, -29, -5, 19 in descending order.\nAnswer: 53, 19, -3, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + p. Let y(q) = -47*q**2 - 2. Suppose -2*n - 2 = -4*z - 12, -2*z - 6*n = -16. Determine z*s(j) - y(j).\nAnswer: 48*j**2 - j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2550027 is divided by 6359.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -4689.6 to the nearest ten.\nAnswer: -4690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*p + 2*i = 52*p + 12*p - 30, -3*p - 24 = -83*i + 84*i for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2944.33 rounded to the nearest ten?\nAnswer: -2940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 195*o - 90. Let w(k) = -88*k - 135 + 143*k + 61*k + 177*k. Let v(i) = 8*j(i) - 5*w(i). What is the derivative of v(z) wrt z?\nAnswer: 95","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*s**3 - 6*s**3 - 19*s**3)*(11*s + 4*s + 34*s) - 2*s**4 + 4*s**2 - 4*s**2.\nAnswer: -786*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 438006548.85637314 - 438006554. Let f = 4.5336262 + c. Let s = f - -0.61. What is s rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -313737 - -8450383\/27. Let t = m + 760. Which is the second biggest value? (a) -0.4 (b) 3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 16764586.\nAnswer: 117352102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h**2 + 4*h - 7. Let a(q) = -2*q**2 - 3*q + 5. Let m be (-1)\/(-3)*0\/(-2). Suppose -2*n - l - 13 = m, -2*l = -5*n - 27 + 8. Give n*w(b) - 7*a(b).\nAnswer: -b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/4 + -4 - -12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 18*x**3 - 10*x + 12. Let d(g) = 7*g**3 - 4*g + 5. Let n be (-340)\/70 - ((-16)\/(-14) - 1). Calculate n*v(c) + 12*d(c).\nAnswer: -6*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17 and 5.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32560?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.05, 0.1694, -19, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000861467833 rounded to 6 decimal places?\nAnswer: 0.000861","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h**4 - 4*h**4 - 2*h**4)*(12 - 22 + 91 - h).\nAnswer: h**5 - 81*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*a - 28*a**3 - 53*a.\nAnswer: -28*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 723102 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 20 - 17 + 37. Let s(n) = n**3. Let p be 1*(1 - 0)*4. Let r be -1 + p - 2\/1. What is r*g(i) - 2*s(i)?\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 5*l + 1. Let u be n(-6). Suppose u*j = 2*h + 2*j + 7, 47 = 3*h + 4*j. Suppose -4*p + h = -p. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209057 is divided by 89.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**2 - 5*t - 1. Let n(f) = -f**2 + f. Let r(c) = -l(c) - 3*n(c). Suppose 0 = -4*q + o - 8, -3*o = -2*o. Determine r(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 n when two letters picked without replacement from fnptnfnffp.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6 + 9)*(1 - 16\/12). Is -2\/61 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159.88 + 2590716.6.\nAnswer: 2590876.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*y**(-2\/21)*y)*y**(-10) assuming y is positive.\nAnswer: y**(-229\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 1 = 21. Let z = b + -7. Calculate the remainder when 41 is divided by z\/(((-3)\/(-14))\/1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183*m = 1361 - 2581 - 2806. Solve 112 = -15*n + m for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124363 greater than -1\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 148*x**3 + 24*x**2 - 24*x - 24. Let n(f) = -f**3 + f**2 - f - 1. What is -24*n(c) + v(c)?\nAnswer: 172*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192 + 650 - 20*z + 111 - 13*z.\nAnswer: -33*z + 569","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9465 and 1215.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.6, 2\/7, -3, -12?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005320521 to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -5*l. Let r(c) be the second derivative of c**4\/4 + 51*c**2 + 3*c - 9. Let q(n) be the first derivative of r(n). What is q(m(b))?\nAnswer: -30*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28128 is divided by 5573?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 930 (base 11) to base 2.\nAnswer: 10001100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*f + 182 = 73*u - 71*u, -4*f + 2*u - 10 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3528064 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3330 and 22903?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (11 - (16 + 6)) + 0 + 6?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, w: 12, o: 2, l: 3, z: 1}. What is prob of picking 3 w?\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.372 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 329 and 1337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 46*c**3\/11 + 884*c**2\/11 + 3880*c\/11 - 3600\/11 = 0.\nAnswer: -10, 18\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 287991 to the power of 1\/2, to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(4\/11)*v**(-5\/6)\/v*v)**45*(v**(5\/6)\/v**(-3\/2))**(-40) assuming v is positive.\nAnswer: v**(-7555\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4 - 3 = -i, 4*i - 2*l + 28 = 0. What is the nearest to 0.2 in i, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24 times -689?\nAnswer: 165.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 + 5*p - 5. What is w(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u - y - 2, 6*u + 29*y - 27*y = 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (21\/35)\/(1\/5). Differentiate u*w + 0 - 4*w + 4 wrt w.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3190 is divided by 179?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -1.5.\nAnswer: -0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -18232.7 * -0.3\nAnswer: 5469.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30.035 + 0.035. Let t = 1303.7 - 1269. Let s = t + m. Round s to 0 dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 - 24. Suppose -29*x + 50 = -l*x. Put -3, 4, x, 1 in increasing order.\nAnswer: -3, 1, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(112)\/sqrt(4))**2 + 1 + sqrt(7)*2 + 4 + -2.\nAnswer: 6*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**2 - 459*o + 5537. Determine d(12).\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1221001212 - -222?\nAnswer: 1221002100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1330 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 667 divide 53614127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 989 and 387.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1202 (base 5) to base 16\nAnswer: b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - 16. Let n = f - -76\/3. Which is smaller: -2 or n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-44817)\/(-24) + 3\/(-8). Let a = p + -1249. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*((-20)\/(-6) - 3). Solve 5*g + 5 = 4*b, -5*b = -a*g - g + 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -52145, -104287, -156427, -208565?\n\"Answer: f**2 - 52145*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 315\/7*78\/(-195)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -6144.\nAnswer: -6144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(2) - (1*sqrt(98))**2) - sqrt(4)\/(sqrt(98)*3 - sqrt(2)).\nAnswer: -294 + 59*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1580*y - 697*y = -1470*y - 240006 for y.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + v - 2*i = -84, 3*i + 94 = 4*v. Suppose -27*f + v*f = 0. Suppose f = -2*o - 3*o + 10. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 2490?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.299 - 0.5.\nAnswer: 3.799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 25 = s, 0 = -0*f - 3*f - s + 20. Let v = -35 + 44. Suppose -15 - v = -4*a. Sort -5, a, f, -1.\nAnswer: -5, -1, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssst when four letters picked without replacement from {s: 15, t: 4}.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -240564 and -53.414?\nAnswer: 240510.586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3518)\/(-252) + 7 + -56 + 34 + 4\/36?\nAnswer: -13\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -9*a**4 + 4*a**3 - 8*a**2 + 11*a - 45. Let k(s) = -10*s**4 + 5*s**3 - 10*s**2 + 11*s - 45. Let r(z) = 4*k(z) - 5*t(z). Differentiate r(x) wrt x.\nAnswer: 20*x**3 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 127028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.066, -606888, 2\/11, 2?\nAnswer: -0.066","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/13689 and 151\/3042?\nAnswer: 27378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1717 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: Convert 0.2022077 centuries to millennia.\nAnswer: 0.02022077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 13058952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 - -15) + (10 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (6 + (31 - 45) + -64)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -369*l**4 + 10538*l**3 + 2*l**2 + l - 155326 wrt l.\nAnswer: -8856*l + 63228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 10*n + 7. Let h be t(-10). Let o = h + -3. Solve o = d + 3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 412, 387, 374, 379, 408, 467, 562, 699?\n\"Answer: a**3 - 32*a + 443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 994 is divided by 324.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 4)*(-2372*c + 7120*c - 2370*c - 2370*c - 196)*(4*c + 0*c - 6*c).\nAnswer: -48*c**2 + 1176*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (26\/(2548\/(-6)))\/(6\/(-7))\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 36\/20 - 1\/(-5). Suppose f*v + 26 = 5*d, v - 7 = 4*d - 26. Solve 5 = d*z - 7 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-120)\/9)\/2)\/((3234\/99)\/49)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1116 (base 7) in base 13?\nAnswer: -252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7bcc (base 16) to base 3\nAnswer: 1121110210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 5. Let d be b(2). Suppose 10 = -4*a - 5*s, -4*a - d*s - 3 = 3. Solve -5*z = -a*z + 3*g - 13, g = -2*z + 6 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 7 = 5*u, -10 = -4*o + 2*u - 0. Suppose -7*f = o*f - 33. Suppose x = -f*z + 174, 2*x + 5*z - 343 = -0*x. Is x a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5933 is divided by 906?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -417*j**2 - 2*j**4 - 933*j**2 + 13500*j + j**4 - 50625 + 96*j**3 - 36*j**3 = 0?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 + 9346*z**2 + 74896*z.\nAnswer: -2*z*(z - 4681)*(z + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 10, r: 10}. What is prob of picking 3 r?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + z - 1. Let h(c) = c + 8. Let w be h(-7). Calculate the remainder when b(w) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l**2 + 11*l - 2. Let s = 53 - 57. Let n be h(s). Suppose -n*i = 2*i + 4*g - 324, -g = -5. Calculate the highest common factor of 19 and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from ciiicccuiuiiuicciic.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 10. Suppose 2*d - 6*d + 4 = -4*h, -5*h + 15 = z*d. Solve 16 = 2*b + d*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 8, 1\/5, 9, 3\/2 in increasing order.\nAnswer: 1\/5, 3\/2, 6, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 515 - 160. Is x - (-9 - (3 - 7)) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**3 - d**2 + 2*d. Let v(y) = 2*y**3 + y**2 - 3*y. Suppose -5*r - 5*l = 0, 6*l - 9*l = r - 6. Give r*v(h) - 4*a(h).\nAnswer: 2*h**3 + h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-8))\/((-25)\/(-250)) - 3*-53. Calculate the highest common divisor of 231 and z.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 62 = 2*l, -42 = -29*j + 28*j - 2*l. Calculate the greatest common factor of 28912 and j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32946 divided by -10982\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 111854 + 111774 = 0. Calculate the greatest common factor of 146 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -7*k**3 + 393*k**2 - 7608*k - 8002. Let t(m) = -85*m**3 + 4715*m**2 - 91300*m - 96025. Let u(s) = 25*l(s) - 2*t(s). Factor u(b).\nAnswer: -5*(b - 40)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -0.4. Let f = -0.8 + l. Which is the smallest value? (a) f (b) 2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 28 - 132?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 174 = 3*v, -5*j + 3*v - 70 = -354. What is the greatest common factor of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.5 - -3.5. Is m >= 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 8*i**2 - 6*i + 8. Let d be a(-6). Let p be 6\/(-27) - d\/45. Which is greater: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 4 + -42 + 3. Let s = -22 - c. Solve -2 = -5*w + s for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9994879 is divided by 538?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 11340 = 16*k - 12*k, -4*k - 5*q + 11340 = 0. Is k a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -6*q + 246. Let d be b(41). Let y(o) = 3*o + 1. Let t be y(1). Suppose 3*w + t*v - 87 = d, 4*w - 5*w + 29 = -2*v. List the prime factors of w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 13562?\nAnswer: -13560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -83 + 85. Suppose t = 2*a + 8 - 0, 18 = y*t - 5*a. Suppose 0*w = -t*w + 8. Solve 6 = -s - w*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27899551937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + 1288816418?\nAnswer: 1288816417.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -5*a**2 - 21780*a - 23718420 = 0.\nAnswer: -2178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -20 + (-6 - (0 + -17 + 9 + -7))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 551919 to the nearest integer?\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1.8287 * 7553\nAnswer: -13812.1711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 4*c**5 - 48*c**4 - 8884*c**3 - 171712*c**2 - 943680*c - 780800 = 0.\nAnswer: -20, -8, -1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -13)*((-3)\/2 - -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 3*h**5 + 33*h**4 + 123*h**3 + 183*h**2 + 90*h = 0.\nAnswer: -5, -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2)\/(g\/g**(2\/11))*g**(1\/3)\/g**3*g**(-2)*(g*g*g**5)\/g*(g**0\/g)**(-45) assuming g is positive.\nAnswer: g**(1436\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 0.1, -0.119.\nAnswer: -5, -1, -0.119, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 138, -0.5, -4, 2\/32995, 11?\nAnswer: 2\/32995","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11121 + 1?\nAnswer: -11120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, i: 6, e: 4, h: 3, c: 2, n: 1}. Give prob of picking 2 i, 1 h, and 1 g.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4440383 to two decimal places.\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 3*r + 6. Let j be f(-4). What is the second derivative of 2 - 10*x + 0 - 30*x**j + 10*x**2 - 20*x**2 wrt x?\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162181980.\nAnswer: 2, 3, 5, 233, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -10*l + l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, g: 3, q: 3}. Give prob of picking 2 q.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 851.3582 hours?\nAnswer: 51081.492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16088 (base 13) to base 12.\nAnswer: 2027b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4*t - 14, -3*t = 5*a - a - 17. What is the least common multiple of a*(360\/25)\/6 and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three twentieths of a milligram?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11, 0.129, -0.1?\nAnswer: 0.129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 447133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f**3 - 6*f**2 - 5*f + 5. Let p(h) = 0*h**2 - 28416 - 4*h + 28420 + h**3 + 2*h**3 - 6*h**2. Calculate 4*n(y) - 5*p(y).\nAnswer: y**3 + 6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -481*r - 27. Let c(m) = -96*m - 5. Calculate 11*c(y) - 2*l(y).\nAnswer: -94*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000313812301 to 6 dps.\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 35137907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 2. Let d = -6 + 10. Suppose -2*o + 2*h - 4 = -0*h, d*o + 3 = -h. What is the third biggest value in o, z, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence awkw when four letters picked without replacement from akpccknwcpcw.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 314154 a multiple of 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*k - z + 2*z = 167*k - 18, 123*k = 112*k - 4*z - 45 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/40)\/(8\/(-30)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r + 5 + 4*r**2 + 5*r + 0*r**2 + r**2. Let x be n(-4). Let g = -36 + x. List the prime factors of g.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144744?\nAnswer: 2, 3, 37, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 17*l**2 - 23*l - 114. Calculate p(-16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1015 divided by -29\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**3*k**2*s**3 - 312936*i**3*k**2 + 25*i**2*k*s**2 + 2*i*k**2*s + 3*i - 2*k**2*s**3 + 55*k*s**3 wrt i?\nAnswer: 12*k**2*s**3 - 1877616*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 110055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 3*z**4\/2 + 129*z**3\/2 + 1167*z**2\/2 - 129*z\/2 - 585 = 0.\nAnswer: -30, -13, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 + 7. Let t be (-104)\/6 + (-1)\/(-3). Let o = l + t. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -15. Suppose 0 = u + 2*u - 6. Suppose v*s + u = c, -3*s - 21 = -2*c + 4. What are the prime factors of c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u + 34814 = 18*u - 3*g, -u = 3*g - 34802. Is 152 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(4\/3)\/(k\/k**(-19)*k) assuming k is positive.\nAnswer: k**(-59\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 337*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 183994363.6 to the nearest ten thousand.\nAnswer: 183990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/506664 and -41\/620?\nAnswer: 2533320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*q - 109*q - 5*q = -3654 for q.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-4)*57\/((-1710)\/20))\/(6\/(-3)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 3:53 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-313*p + 330*p - 179*p)*(-18 + 3 - 3).\nAnswer: 2916*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 61961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -1469*q - 2. Let u be i(2). Let w = 17683\/6 + u. Find the common denominator of w and (-238)\/40 - 1\/(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36.1482 + 0.1482. Which is the biggest value? (a) v (b) -2 (c) 0.1 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/19 and -49\/1786513.\nAnswer: 1786513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38 by 4.\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10210031333 (base 4) to base 15.\nAnswer: 1899a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 + o**2 + 0 + 2)*(2*o**2 - 2*o**2 + o**3).\nAnswer: 3*o**5 + 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d + -b57e?\nAnswer: -b58c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -565 - 11.\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 236 and 4955528.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h*t**3*y**2 - 2*h*t**2 - h*y**2 - 57*h + 15*t**3*y - t**3 wrt y.\nAnswer: 2*h*t**3*y - 2*h*y + 15*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16078 - -16081. Solve 9 = m*h - 2*s + 12, s = h + 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + g - 2. Let s be o(0). Let f = -10 - -10.09. Let m = 1.91 + f. Which is the nearest to -0.1? (a) m (b) 0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 27636 and -906.\nAnswer: 26730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 53*t**2 + 3*t - 245. Let z(a) = 211*a**2 + 11*a - 982. Let r(y) = -22*n(y) + 6*z(y). What is the derivative of r(f) wrt f?\nAnswer: 200*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 3:37 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 160*g - 9*g + 723092 - 738343 for g.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -29*m**3 - 983*m**2 + 109*m + 352. Calculate l(-34).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*i = 84*s - 83*s - 593, -5*s + 2*i = 59 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42296407?\nAnswer: 42296407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3918, 7757, 11506, 15165, 18734, 22213, 25602?\nAnswer: 28901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c - 16. Suppose -5*a - 3*l = -2*l - 61, 2*a - 34 = 2*l. Let j be o(a). Let t(s) = 2*s. Give t(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -5*i - 216. Calculate p(-42).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -w**6\/180 + 5*w**3\/3 - 2. Let m(h) be the third derivative of g(h). Let a(u) = 2*u. What is a(m(n))?\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 370 = 70. Suppose -i = -2*x + 4*m, -2*x + 4*x + 2*m - 22 = 0. What is the greatest common divisor of x and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (1 - (7 + -12 - (1 + -11))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -194 + -131. Suppose 0 = -2*s + 1531 - 609. Let d = p + s. Calculate the highest common divisor of 17 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -227 + 228. Let d(s) be the second derivative of -29*s**4\/12 + s**3\/3 - s**2\/2 + 6*s. Determine d(m).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6a6 + 2b041?\nAnswer: 2a557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2734966 is divided by 27.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(112)*-1)*3 + 3 + 0 + sqrt(175)*-1 + -5.\nAnswer: -17*sqrt(7) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3634*r**2 + 7*r**3 - 6*r**3 + 3634*r**2.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -249*n**3 - 2*n**4 + 3 - n - 88*n**2 + 247*n**3 + 21*n**2 to the form v + b*n**4 + i*n**2 + u*n + g*n**3 and give i.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -6. Let c(r) = 1 - 1 - p*r + r. Let b(u) = 2*u**2. Calculate b(c(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -4*j**2 + 674. Let i(u) = -3*u**2 - 2*u. What is f(i(b))?\nAnswer: 24*b**2 + 16*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -6*g**2 - g. Let c be (-1)\/(-2) - 39\/6. Let v be -3*(-1)\/c*2. Calculate d(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 11 = -k, 3*k = 6*k - 3*t - 15. Suppose 2*d - 82 = -3*a - 2*d, -k*d = 4*a - 116. Calculate the highest common divisor of a and 390.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + 1d5e?\nAnswer: 1d65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4*k = 4, -3*k + 2*k + 2 = j. Is 9 a factor of j\/8 - (-107)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -719*x**4 + 416.\nAnswer: -2876*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 40*d - 45. Give j(2).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.53, -3\/5, 175, 4\/15, -2.\nAnswer: -2, -3\/5, 4\/15, 5.53, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/10 - (-7)\/(-5). Let n be (1 - -1) + w - -7. Let b = 13 + -6. Is b != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*s - 28*s = -o, 0 = 2*s - o + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 7*y = 170. Let w = y - 43. Calculate the smallest common multiple of 2 and w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4048 (base 12) in base 11?\nAnswer: 5265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/8*-26 + 21\/84. Suppose k = 5*k + 52. Let w = k - -18. Which is smaller: w or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (32\/12)\/(4\/390). Round u to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34616 is divided by 2472.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 27004 + 2162?\nAnswer: 29166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 10*j + 34. Determine q(-6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of 26*i**5\/45 + i**4\/9 + 115. Suppose w(d) = 0. Calculate d.\nAnswer: -2\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u**3 + 3*u**2 + 3. Suppose -4*g - 2 - 6 = 0, -5*j - 4*g = 23. Let c(n) = -3*n**3 - 4*n**2 - 4. What is j*c(h) - 4*p(h)?\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + i**2 - 4*i - 6. Let s be m(-3). Let t be (-170)\/(-40) + 3\/s. Suppose 4*z = 4*o - 59 - 89, z = t*o - 154. What are the prime factors of o?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -29601*h**3 + 299*h**2 - 299*h - 299. Let a(z) = 296*z**3 - 3*z**2 + 3*z + 3. Calculate -299*a(c) - 3*k(c).\nAnswer: 299*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -983939, -1967865, -2951791, -3935717?\n\"Answer: -983926*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 2108?\nAnswer: 2108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*h)*(2*h + 2*h - 3*h + (0*h - 6*h + 4*h)*(-3 + 1 + 1))*(3*h**2 - 2*h**2 + 0*h**2).\nAnswer: -6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 3\/11188?\nAnswer: 3\/11188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/((p\/p**15)\/p)*p)\/p**15 assuming p is positive.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 82 + -46. Suppose -4*w - p = -10*w. Calculate the highest common divisor of 4 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 2085364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 10*b - 6. Let i be s(-11). What is the derivative of 3*d - 8*d + i*d - 4 - 5*d**3 wrt d?\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - -1. Let g be ((-124)\/(-6))\/((-14)\/(-4) - 3). Let s = 41 - g. Sort -14\/3, s, c in decreasing order.\nAnswer: c, s, -14\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 17 = 5. Let a(c) = 5*c**3 - 3*c**2 + 6*c - 6. Let p be a(i). Let f be (p\/(-25))\/((-2)\/50). Round f to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 884 - -198. Suppose 3*q = q + z. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 10, c: 4}. Give prob of sequence aa.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*l**2 - 307023*l - 921177.\nAnswer: 3*(l + 3)*(4*l - 102353)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (304\/57)\/((-22)\/99)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13969, -30716, -47461, -64204, -80945, -97684?\nAnswer: -114421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n + 70. Let j(b) be the first derivative of -4*b**2 - 4825. Calculate j(w(q)).\nAnswer: 8*q - 560","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 3:30 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.659 + -63.341. Is 1.4 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-10))\/(16\/20)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8678.7 rounded to the nearest 10?\nAnswer: -8680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24\/455 and 28\/756*27 - (-194)\/(-210)?\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4283471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g - 160 - 1163 + 2336)*(10 + 7 - 6) + (0*g - 2*g + 4*g)*(1 + 3 - 2) to the form o + h*g and give o.\nAnswer: 11143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(8\/(-1))*-8. Suppose 7*v = a*v + 5*i - 26, 2*i + 157 = 5*v. What is the remainder when 73 is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 800 a factor of 13306400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + -1)**2*-3 + sqrt(343).\nAnswer: -1032 + 49*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 201 and 8643.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + p = -30. Does 5 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 57797, 115755, 173707, 231659, 289617, 347587, 405575, 463587?\n\"Answer: q**3 - 9*q**2 + 57978*q - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 0, 5, -34, 10, -3 in decreasing order.\nAnswer: 10, 5, 0, -3, -18, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*m = m + 47, 3*o - 34 = -4*m. Suppose -r + o = r. What is the greatest common divisor of 45 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + (-54)\/(-46))*161\/322.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -r - 2*k + 6*k, 4*r - 5*k = -5. Let p(s) = -20*s + 4. Let o(g) = 19*g - 3. What is r*o(m) - 4*p(m)?\nAnswer: -15*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -681.77 - -718.793. Let v = l + -37. Let r = v - 0.0230039. What is r rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 2136.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15256 - -1098407\/72. Let k = n + 2\/9. Is k smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -5*m + 1484. Is 31 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*o = 80, -22 = f + 3*o + 12*o - 10*o for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = v + 2*v. Let z be (-6)\/((0 - -4)\/20). Let b = v - z. Solve b*t + 3 + 6 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/2 of a meter?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, k: 5, j: 1, b: 3, g: 1}. What is prob of sequence kj?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-38)\/4 + -1)*616\/924 - (-105)\/10?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -6*s**2 - 4*s - 12. Let w be b(-5). Let i = -41 - w. Is i a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*(g*g**(-3))\/g)**19)**(-46)\/((g**(1\/2)*g**8)\/(g**(-1))**25) assuming g is positive.\nAnswer: g**(1681\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (282\/(-30))\/(122\/610)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or 46\/3?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3106037029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -20*b - 9. Let i(l) = -9*l - 1. Let r(p) = -10*p. Let f(z) = 3*i(z) - 2*r(z). Let t(x) = 17*f(x) - 6*n(x). Give t(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40562195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.138 (b) 1.04 (c) 1 (d) -0.4 (e) 0.5 (f) -9\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 278 - 274. Solve -k*b - 3*a + 17 = 0, 3*b - 3*a = 5*b - 13 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -63471?\nAnswer: 63476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*2206\/(-104) + 5. Let r = n - -27\/13. Calculate the common denominator of 77\/10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15 - -1510?\nAnswer: 1525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1270?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/15, 1, -123084, 0, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -1\/12*c**4 + 0*c**3 + 4*c - 1\/30*c**6 + 0*c**2 + 0 + 0*c**5. What is the third derivative of r(y) wrt y?\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -101, -119, -147, -191, -257, -351?\n\"Answer: -l**3 + l**2 - 14*l - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -1. Let h be (1 - t)\/((-20)\/(-10)). Let j = -0.44 - -0.04. Which is the closest to -2\/5? (a) 5 (b) h (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -30*t - 85. Let u be l(-3). Let o(i) = 2*i + i**3 + 2*i**2 + 3 + 6*i + 0*i**3. What is the tens digit of o(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 12*y. Let n(x) = -x + 0*x + 3*x + x. Calculate g(n(k)).\nAnswer: 36*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/11 - 28*p**2\/11 + 120*p\/11 - 144\/11.\nAnswer: 2*(p - 6)**2*(p - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w + 3. Let l(m) = 7*m + 5. Let u(b) = -3*l(b) + 5*t(b). Let g(a) = -37052*a + 74120*a - 37067*a - 1. Determine -g(z) - 3*u(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a factor of 2065130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5.2, 2\/23, -0.1, -1?\nAnswer: 5.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20252473 + -1?\nAnswer: -20252474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence at when two letters picked without replacement from {r: 1, a: 5, t: 3}?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/7 < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.6 - 218.4. Let g = -219.9 - i. Which is smaller: g or -74?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3748 and 188.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/sqrt(2) + (sqrt(720) - (1*sqrt(720) + sqrt(720))**2))*-3 - -1*((sqrt(160)\/sqrt(8))**2 + 1).\nAnswer: -42*sqrt(5) + 8661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -19. Let c = 24 - d. Calculate the least common multiple of 10 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -26. Let t(c) = -8*c + 11*c**2 - 108*c**3 - 3*c + 11 + 103*c**3. Let l(q) = q**3 - 2*q**2 + 2*q - 2. Determine p*t(n) - 22*l(n).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30233, -30619, -31005?\nAnswer: -31391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -16 + 4, -3*u = -5*s + 86. What is the remainder when s is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -55*r**8\/28 + r**6\/30 + 37*r**4\/12 + r**3\/3 + 33*r + 4. Find the third derivative of p(u) wrt u.\nAnswer: -13200*u**3 + 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**3 + 2*d**2 + 2*d + 0*d**3 + 930 - 931 + 2*d**3 to the form z*d**2 + s*d + l + h*d**3 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1100220201012 + 11111?\nAnswer: 1100220212200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y - 48 + 47 - 13*y**3 + 2*y**2 + 33*y**3 - 18*y**3 + 4*y to c*y**3 + a*y + t*y**2 + h and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i + i + 2*i**2. Let n(w) = -w + 10*w - 8*w. Give n(f(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + 4 + -1)\/(18 - 16). Solve v = -0*i - 8*i - 32 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/199 or -17107?\nAnswer: -17107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 398 a factor of 62344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 128, 255, 382?\n\"Answer: 127*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12977 (b) -2\/17 (c) -0.1 (d) -1\/2 (e) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -173 + 173. Suppose l*c - 2198 = -2*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 10:23 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -5*x**2 + 0*x**2 - x + 3*x + 1 + 27*x**2. Is 15 a factor of z(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11677?\nAnswer: 11677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1225 - -4?\nAnswer: 1229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7467838800 rounded to the nearest one million?\nAnswer: 7468000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 19\/4 of a hour?\nAnswer: 17100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 3*c - 2*c = -18, -417*c = 3*y - 422*c + 14 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + 5*z. Suppose 4*w = 4 - z. Let b(c) = c**3 - 6*c**2 - 4*c - 17. Let m be b(7). Solve -w - m = -i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 861*t - 79374. Calculate r(-105).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 2409*l**2 - 2402*l**2.\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 1118*d**2 - 5*d + 4. Let n be z(2). Suppose -n = -5*q - 9*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -52 - -566?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -5*j - 58810, 0 = 128*j - 125*j. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 4:23 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1234 divided by -5?\nAnswer: 1234\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2346*u - 2. Let v(a) = -2774*a**2 - 2775*a**2 + 5551*a**2. What is v(o(i))?\nAnswer: 11007432*i**2 - 18768*i + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1503226?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**2 - 10814*p + 112 - 119 - 27*p**2 + 10820*p to k*p + i + r*p**2 and give r.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(1\/6)*k**(2\/27))\/((k*k*k**(-2)*k)\/(k\/k**4)))\/((k**(-1\/4))**(-22)*k**(-2\/15)\/k**2) assuming k is positive.\nAnswer: k**(-872\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 13*h**4 - 2*h**2 - 2*h + 11. Let t(c) = -c**4 + c**2 + c + 1. Let k(s) = 2*t(s) + v(s). What is the derivative of k(p) wrt p?\nAnswer: 44*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200*b + 161*b - 6126482 = -2198441. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-2*(-6 - -7)). Suppose -2*x + 8 = 2*s, 3*x - p*s - 25 = -3. Solve 18 = x*l - 0*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5 = -32. Suppose 0*u = u. Suppose -11 + 1 = -s + 3*y, u = -3*s - 2*y + 52. What is the remainder when s is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38055640 and 38055640?\nAnswer: 38055640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.2 - -2.28. Let k = j - 0.78. Let l = k + -0.3. Put l, -5, -4 in ascending order.\nAnswer: -5, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**2 + 2*r + 4. What is v(-3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1694 divided by -121.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*v - 112*v + 14 = -5*t, -12 = -3*v + t. Solve 2214 - 2226 = -v*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**2 + w**2 + 1 - 18*w**3 + 2*w - 2. Let o be c(-2). Suppose -61*d = -461 - 454. What is the highest common factor of d and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -2, -1, -4012, 673?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b + 18 - 20 + 6 as k + h*b and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*sqrt(13)*1 + -2 + ((-4*sqrt(1300) - sqrt(1300)) + -1 + sqrt(1300) + -3)**2.\nAnswer: 322*sqrt(13) + 20810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 6:27 PM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 8:35 AM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(-1)\/b))**(-40)*(b**(-2\/3))**(-17) assuming b is positive.\nAnswer: b**(-326\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + v**2 + 10*v + 5. Let y = 34 + -34. Suppose y = -2*u - 2 - 4. Calculate the remainder when l(u) is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = -3*p - 2*a + 7*a, 5*p - 195 = a. Suppose 5*n + 5*h - 95 = -0*h, -3*n + 3*h + 63 = 0. What is the remainder when p is divided by n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -937711*q**3 + 313765 wrt q?\nAnswer: -2813133*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -5*b + m, 3*m - 27488 = 8*b - 27439 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 67\/4*g**4 + 7\/3*g**3 + 0*g**2 - 72 + 2*g. Find the third derivative of r(n) wrt n.\nAnswer: 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -4 + (-8 - (2 + -6) - -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**1)\/(f**(-2\/79)\/f) assuming f is positive.\nAnswer: f**(239\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -89014943*w**4 - 4*w + 895313.\nAnswer: -1068179316*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7039 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*i + 62*i + 97*i - 95.\nAnswer: 65*i - 95","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(1\/15)\/d*d*(d**(1\/13)*d)\/d*(d**25)**(-20) assuming d is positive.\nAnswer: d**(-97277\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2442194.\nAnswer: 2, 1221097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 141 and 6063?\nAnswer: 6063","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1635 - 125 = -4*h. Let w be (h\/176)\/((-5)\/(-4)). What is the highest common divisor of 34 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -2\/135759?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12127 is divided by 739?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 + 33. Suppose 0 = 4*k - 2*k - 2*q - 10, 4*q = -k - 5. What is the remainder when k*(-12)\/(-8)*4 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1646816 divided by -31072?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/1104508 and 83\/1656762?\nAnswer: 3313524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -62 - 48. Let t(z) = z**3 + 6*z**2 + 10*z + 6. Let j be t(-4). What is the smallest common multiple of (-4)\/(1\/(j + 3)*-1) and k?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -9) + (98 - 106)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s**2. Let r(d) be the first derivative of -10*d**2 + 15 - 5*d**2 + 14*d**2. Determine r(c(g)).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16652778 is divided by 2062?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 90.71 + -91. What is the biggest value in 4, 0.2, -4\/3, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.047 + -0.047. What is the closest to -2\/3 in -0.1, 4, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 1 + 8*r**2 + 37*r**2 - 2*r + 3 - 3. Let c be y(1). Let v = c + -44. Solve -22 = -5*s - 4*w, v*w - w = -3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 2, 0.057, -4 in increasing order.\nAnswer: -5, -4, 0, 0.057, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -29, 1.\nAnswer: -29, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 5*u + 3*k, u + 13 = 6*k - 2*k for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 8:10 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/23 (b) -4\/5 (c) 2.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1832 divided by -5?\nAnswer: 1832\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -277*b**4\/12 + b**3\/6 + 185*b**2\/2 - 193*b. Find the second derivative of f(z) wrt z.\nAnswer: -554","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 6*h + 606 = h, -h = -5*i + 1515. Suppose 3*y + v + 93 = 974, y - 2*v = i. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aocjaaxuxacacxac. Give prob of sequence aacu.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -7*c - 8. Let g be a(-4). Suppose -6 = -4*k + 3*b + 7, -4*b + g = 0. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.39 - -2.61. Which is the biggest value? (a) n (b) -5\/7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/444 and 39\/5.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6273101 + 11024673. Let y = -8851572 + a. What is y rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 10655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**3 + 3*g**3 + 3*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 30*v**3 + 36*v - 1917 wrt v?\nAnswer: 90*v**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14356815 is divided by 254.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**3 - 5*z**2 - 2*z - 1. Let o be r(-3). Suppose -148 = -3*n + o. Does 17 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50 - 22. Suppose -42*u + 40 = 5*n - 40*u, 0 = -5*n - 5*u + 55. Suppose -17*k = n*k - 161. What is the remainder when o is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 26 = -7*m. Let j = -40 + 442\/11. What is the second biggest value in 2\/7, j, m?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 154898 - 100978. What is the greatest common divisor of 40 and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18158*a**5 - 24*a**3*s**3 + 2*a**2 + 2*a*s**3 + 2*a*s**2 - 2*s**3 + 7686 wrt a?\nAnswer: 1089480*a**2 - 144*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*l**3*s**2 - 10*l**2*s**3 + l*s**3 - 2*l - 6*s**3 wrt l?\nAnswer: -42*l*s**2 - 20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*x - 7208 - 436 = -557*x for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 5:31 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 3*g + 40. Suppose 0 = 5*v - 4*c + 595, -3*v + c - 384 = 4*c. Let a = 115 + v. What is the hundreds digit of t(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101896 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.62 + 0.06. Let y = 0 - c. Let t = y + -0.55999865. What is t rounded to seven dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 14) to base 9\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1269 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -21*w + 11. Let b be v(7). Let z = b - -248. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1751 + -1728. Let w = 7 - 1. Suppose -14 - w = -4*r. What is the remainder when s is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1, -22, -59, -118, -205, -326, -487?\n\"Answer: -z**3 - 2*z**2 - 8*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w\/w**(-2\/7))*w))**39*(w**(-1))**(1\/36)*(w**4*w**10)**2 assuming w is positive.\nAnswer: w**(9857\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-3)*-3 + (59 - 47)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/3 + 24*n**2 + 166*n - 572\/3.\nAnswer: 2*(n - 1)*(n + 11)*(n + 26)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1191*g**2*v**2 + 22*g**2*v - 2865*g*v**2 + 207*g*v wrt g.\nAnswer: 2382*v**2 + 44*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 3)*14\/3. Let f be 4\/g + 16\/7. Let d be 1\/(2\/14 + 0). Solve f*x = d*x + 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 34.14 and -1088972?\nAnswer: 1089006.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1587, -3380, -5173, -6966, -8759?\n\"Answer: -1793*r + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 136*l - 2900. Give x(-25).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and 154.2537?\nAnswer: 154.3537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 17187, 17171, 17155, 17139, 17123?\n\"Answer: -16*k + 17203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 13, -5, -144 in increasing order.\nAnswer: -144, -5, 6, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h - 15*h - 7*h)*(0 - 3 + 5) + 3 + 2*h - 3 + (-5*h + 2*h + h)*(-2 + 3 - 3).\nAnswer: -26*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -273 - -308. What is the greatest common factor of 14 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**1)**(-34) assuming k is positive.\nAnswer: k**(-68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/(-35) + (-12)\/(-5). Suppose -o*s = -3*s + 5*m - 30, 0 = -3*m + 15. Let j be (-3)\/(-15) + 26\/s. Let z(n) = -n - 11. Give z(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1801213684+-0.17\nAnswer: 1801213683.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -28296977 times -4?\nAnswer: 113187908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3*x**2)*(1 + 226*x**2 + 1 - 225*x**2 + 31*x).\nAnswer: 3*x**4 + 93*x**3 + 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 73 divided by 22\nAnswer: 73\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11051 - -25643?\nAnswer: 40024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 90, -11, 0.2, -1, -23.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d + 200. Let g(w) be the second derivative of w**4\/6 + 4818*w. Give x(g(a)).\nAnswer: -6*a**2 + 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -237*b*t**2*z**2 - 12*b*t**2*z - 2*b*z**2 + 8*b*z - 7*b - 47*t**2*z**2 - t - 24*z**2 + 3*z wrt t?\nAnswer: -474*b*z**2 - 24*b*z - 94*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -90.1 and 8035.\nAnswer: 7944.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1643 to 2 decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -186 times 15?\nAnswer: -2790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(64)\/sqrt(8) + -5)**2.\nAnswer: -12*sqrt(2) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 2*m - 3*m + (-4 + 1 + 5)*(-4*m + m + 7*m))*(m**2 - m**2 - m**4 + (0 + 0 - 2*m**2)*(2 + m**2 - 2)).\nAnswer: -21*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 5*g**2 + 5*g - 1. Let z be (-99)\/(-132) + 26\/8. Suppose z*c = -2*a - 10, 0*a - a = c. Let t be 22\/(-55) + (-28)\/a. Calculate k(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*d - 3*z + z, 4*d + z = 40. Suppose -4*f = -15 - d. Let j be f*1*4\/(-8). Which is the nearest to 1? (a) j (b) 0.3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g - 6 = -11*g + 4*w, -3*w - 6 = -g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + 3)\/((-4)\/(-12)). Suppose -c*p + 12 = 0, -3*d - p + 21 = -31. What is the least common multiple of 20 and d?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147381478 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/7)*i**(-8\/11)*i\/i**(-4)*i*i**(9\/5)*i assuming i is positive.\nAnswer: i**(3053\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 15) to base 11.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(35)\/(4*sqrt(567) + sqrt(7)) + 0 + (sqrt(720)*-4*-2 - sqrt(720))**2.\nAnswer: 4*sqrt(5)\/37 + 35280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**4 - 33*h**5 + 2*h**3 - 828*h + 829*h + h**4 + h**5 - 3*h**2 + 3*h**2 + (-1 + 1 + 2*h)*(3*h**4 - 2*h**4 + 0*h**4).\nAnswer: -30*h**5 - h**4 + 2*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 406353?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(975))\/(sqrt(30)\/(sqrt(50)\/sqrt(5))) - (-3*(sqrt(1872) + 5*sqrt(1872) + sqrt(1872) + sqrt(1872)) + 5).\nAnswer: -5 + 278*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2 = 5*z, -z = z - 4*j - 4. Let x(w) = -w**2 + 10*w - 9. Let l be x(6). Suppose z = -19*q + l*q + 2708. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101010 (base 3) to base 9\nAnswer: -333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-5) - -1)\/(17\/255). Suppose u*q + 2088 = 32*q. What is the lowest common multiple of 1 and q?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 201 = c + 3*v, -4*c - 205 = -v. What is the tens digit of 3 + (5 + -1 - c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1246 and 135814.\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 - (-6 - 0\/7). Suppose -s*w + 4*y = -208, 4*w - 4*y = -187 + 611. Is w a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -452 = -2*u - 104. Suppose -2*x = -6*x + 2*h + 234, -3*x = -h - u. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = u + 6*u. Suppose 6*o - 7184 - 23638 = u. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*m - 104 = 23*m. Let g = m + -10. Suppose g + 14 = 2*p. Solve 4*f - 8*f + 3*b = -p, -5 = 5*b for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/45 + (-160)\/50?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44743 divided by -79.\nAnswer: 44743\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -855138770 + 855138544.4373345. Let t = m + 167.562654. Let r = -58 - t. Round r to 6 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**4 - 56399*m**2 - 141848*m + 13 wrt m.\nAnswer: -12*m**2 - 112798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14.075 - -12.075. Sort -6308, o, -4, -0.4 in increasing order.\nAnswer: -6308, -4, o, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n + 15*n + 15 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**3 + 22*m**2 + 30*m - 21. Let i be q(12). Suppose -49*z = -i*z + 18. Calculate the remainder when 68 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwquqqw. What is prob of sequence wu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-36)\/(-96) + (-3765)\/(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 20 + 18*r + 0 - 22*r + r**2 + 25*r = 0.\nAnswer: -20, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 12 = -10. Solve 0 = 4*a + v + 2*v - 1, -a - v + u = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l - 7. Let j(w) = w - 1. Let h(t) = -3*j(t) + m(t). Let i be h(6). Solve -2*f - 8 = -i for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 689858.5 weeks to microseconds.\nAnswer: 417226420800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*v + 657*v = 55935 for v.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 533972.3 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 - 35. Let a = 3.4 + -18.4. Let t = -14.7 - a. What is the closest to t in 3\/7, g, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*u = -0*l - 1380, l - 441 = 8*u. Calculate the remainder when l is divided by 43.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*i**3*o - i**2*o + 3*i - 18*o wrt i.\nAnswer: -84*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -19620585 to the nearest 100000.\nAnswer: -19600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 302583.23171+-1.39\nAnswer: 302581.84171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -5*n**2 - 2*n - 1. Let w be h(-1). Suppose -5*g + 685 = -215. Let m = g - 359\/2. Which is the third biggest value? (a) w (b) 5\/2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 8:13 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 35*k + 53. Let j be d(24). Let y = j - -326. Let l = -91 + y. Calculate the highest common divisor of l and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1367?\nAnswer: 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 219.5388413547 - 0.5388404547. Let z = 219 - y. What is z rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/35 and 35\/148?\nAnswer: 5180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-49))\/(4\/14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*1.63.\nAnswer: -11.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 5*k + 116, -2*k + 51 + 93 = 4*i. Let d = i + -25. Differentiate 1 + 3*g**2 - 35 + 0 - d*g**2 wrt g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-69)\/(-690)*(-4)\/5?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(9\/5)*(j**(-3\/4)*j)\/j)\/((j\/j**(7\/4))\/j**4) assuming j is positive.\nAnswer: j**(34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 49491920 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-2 - (-2 - -1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 92159917?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -1326, 3180 in descending order.\nAnswer: 3180, -8, -1326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 13 = 2*g. Let r(n) = -n + 5*n - 2*n - n**2 - n + g. What is the tens digit of r(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 31549260 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-6))\/(6 - 125\/(-10)). Let w = z - -38\/111. Let b = -12 + 21. Sort w, 4, b in decreasing order.\nAnswer: b, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 543 + -241?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 104.5 and -74.30559.\nAnswer: 30.19441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-11)*p\/((p*p**(1\/3))\/p)*p*p**13*(p*p*p*p**2*p)\/p assuming p is positive.\nAnswer: p**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + m + 10 = 0. Suppose 0 = 5*c - m - 0. Let h = 231 - 226. What is the highest common factor of h and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210 (base 12) to base 9.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n**3 + 181*n**2 + 139*n - 47. Let w be r(46). What is the third biggest value in -0.1, w, 4, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -8*k**2 - 43*k - 11. Let y be i(-5). Let z(l) = l**2 + l + 4. Let x be z(0). Solve x*w + 12 = y*b, b - 5*w = 5 - 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -95 - -170. What is the tens digit of 3890\/l - (-4)\/30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u + 4*u - 5*u. Let c(g) be the second derivative of -11*g**3\/6 - 2*g - 10. Calculate c(n(f)).\nAnswer: -22*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i. Let l be h(-2). Let r(g) = g**3 + 3*g**2 - 7*g**3 + g**l + 6 + g. Let s(v) = v**3 - v**2 - 1. Calculate r(d) + 4*s(d).\nAnswer: -2*d**3 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 3, -4, -2\/3, 8\/7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 69?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 3 = 2*u, 0 = -3*u + 8*u - 5*q - 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j - 21. What is i(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, j: 1, x: 1, n: 1, c: 1}. What is prob of sequence cfx?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 c when two letters picked without replacement from oscnujooojnsnsu.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -c**2\/2 + 4*c + 5. Suppose -25 + 0 = 5*z. Let f be t(z). Solve 34 = -5*m + 3*a, a - 4*a + f = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.03321825 and -0.6677.\nAnswer: -0.63448175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -436*v**3 + 588*v**2 wrt v.\nAnswer: -2616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5836 - -8372. Does 18 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 3:28 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -4. Suppose -q - q = -6. Factor -3*k + q*k - k**3 - h*k**2 - k.\nAnswer: -k*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**2 + 5*g - 1. Let t(x) = -3*x**2. Calculate n(t(k)).\nAnswer: -18*k**4 - 15*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.93340787 + 9.92901. Let r = -0.0044 - v. Round r to 7 dps.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/12 - 18\/27?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.5634051 - -4.063388. Let u = x + -0.5. What is u rounded to six decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3567 and 12325.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 696 and 3486\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (10 + -16 + 3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 20526, 0.047, -2\/5, -20 in descending order.\nAnswer: 20526, 0.2, 0.047, -2\/5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -0.164?\nAnswer: -5.164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f = -10*f - 11*f + 252 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) -3 (b) 3 (c) 84019\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 + 5290*o - 5289.\nAnswer: -(o - 5289)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 12 = -4*x, 4*y = -0*x + 4*x - 20. Let h = -1127 + 1123. Which is the closest to h? (a) -2\/7 (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1128748 - 1128746.9999992. Let o = 9 - 8. Let s = w - o. What is s rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -112.\nAnswer: -11\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 68*h**5 + 808*h**4 + 1400*h**3 - 5888*h**2 + 4004*h - 392 = 0.\nAnswer: -7, 2\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(((-224)\/(-40))\/((-6)\/15)). What is the fourth smallest value in -5, n, -1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(325))**2 + sqrt(26)\/sqrt(2) + -3.\nAnswer: sqrt(13) + 322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2785 and -6404.\nAnswer: 17835140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -8180*k. Let j(w) = 7*w**2 - 18*w. Give j(o(z)).\nAnswer: 468386800*z**2 + 147240*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14331 - 429857\/30. Find the common denominator of b and 41\/150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 172 and 0.3.\nAnswer: 172.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -8*l + 21. Let a be o(3). Let n(y) = -y**2 - 6*y - 1. Let w be n(a). Suppose -w*z + 779 = 51. List the prime factors of z.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 8.962763 seconds?\nAnswer: 8962763000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58 - 6443*u**3 - 28532*u**3 + 58 + 2*u.\nAnswer: -34975*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -22152 times 1.4\nAnswer: -31012.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9 - 7 - d + 2*d + (2 + 1 - 1)*(5*d - 3*d - 3*d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 160765 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13221307*k**5 + 5*k**2 - 6*k - 98829?\nAnswer: -793278420*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -21*b + 2. Let s(x) = 13*x. Calculate v(s(g)).\nAnswer: -273*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1203353140 to the nearest one million.\nAnswer: 1203000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227*g**2\/4 + 1080*g - 133\/4 = 0. Calculate g.\nAnswer: 7\/227, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y + 0*y - 2*y)*(0 + 2*y + 0) + 0*y**2 - y**2 + 3*y**2 - 4 + 13*y**2 - 2*y - 15*y**2 - 8 to r + z*y + b*y**2 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.6 and -0.5.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -699584, 1\/2 in descending order.\nAnswer: 1\/2, -4, -699584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -39, 4, 18.7, -266?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 12*f**2 - f + 2. Let t(k) = 60*k**2 - 4*k + 11. Let m(r) = 11*g(r) - 2*t(r). Find the second derivative of m(s) wrt s.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 v when two letters picked without replacement from {d: 1, k: 2, e: 3, v: 1, p: 5, m: 1}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 43, 63, 117, 223, 399, 663, 1033, 1527?\n\"Answer: 3*w**3 - w**2 + 2*w + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 336 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -180 + 188. Solve -p - r = -7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13223269951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, -2\/3, 20?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.6935 rounded to two dps?\nAnswer: -3.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 12:47 AM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 43\/4 of a gram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 361 - 360.9742. Round r to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 2 = d. Let q = -208 + 222. Let a = q - d. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -6732*x + 6735*x - 2*l, 447 = 42*x + 5*l for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 43\/2 of a microsecond?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15230979617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -111.2 + 111.9. What is the third biggest value in 0, 5, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 12:44 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*c**3*x - 1449*c**3 + 1016*c*x**3 - c + 11 wrt x.\nAnswer: 14*c**3 + 3048*c*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - v = 0. Suppose 0 = 3*z + 2*c - 3, -5*z - 2*c + 1 = v. What are the prime factors of (-17)\/(-2 - z) - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k + 3. Let d be (14 - -2)*2\/(-4). Let l be (d + 0)*(-13)\/(-26). Determine t(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82748*g + 58118*g - 81453*g.\nAnswer: -106083*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 753*x = 3623 - 112055 for x.\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -804575429 less than -0.03?\nAnswer: 804575428.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(((-440)\/(-12))\/5). Which is the second biggest value? (a) p (b) 1\/4 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7843 * -0.5\nAnswer: -3921.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2248*v = 43319 - 16343 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4983*q**3 - 3194*q**2 + 7*q + 2 wrt q?\nAnswer: 29898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/9 - (-16)\/9. Let l = i - 3. Let t = -0.6 + 0.7. Sort -2\/9, t, l in decreasing order.\nAnswer: t, -2\/9, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4699.8586 and -2.\nAnswer: -9399.7172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1176 and 114954?\nAnswer: 459816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -449473 and 14 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 4. Let h = -3 - o. What is the second derivative of -2*p**5 + h*p + 2*p + 0*p wrt p?\nAnswer: -40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3330 (base 5) to base 9.\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 508562*t**2 - 4*t + 2439847.\nAnswer: 1017124*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 212112010 (base 3) to base 2\nAnswer: 100001011111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 347.934 and 0.2?\nAnswer: 347.734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -17*z**3 - 5*z**2 - 9*z. Let m(q) = -16*q**3 - 5*q**2 - 12*q. Let v(j) = 4*b(j) - 5*m(j). Find the second derivative of v(i) wrt i.\nAnswer: 72*i + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -145*r + 2616. Let t be o(18). Let y(x) = x**2 - 2*x - 9. What is y(t)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.29*3.047621.\nAnswer: -10.02667309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 19\/12748 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5*s**2 - 3*s - 5. Let j(c) = -11*c**2 + 5*c + 10. Let o(x) = 6*j(x) + 13*l(x). Let t be o(-9). Let d = t - -9. Is d a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 11:12 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -7*q**5\/30 - q**4\/24 + 17*q**2\/2 - 7. Let w(b) be the second derivative of p(b). Find the second derivative of w(s) wrt s.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(-11)\/v)**(-43))**(-37))**(-12\/7))**(-34) assuming v is positive.\nAnswer: v**(-7789536\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1165 divided by -102\nAnswer: 1165\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 51\/170 + 322\/(-115). What is the third smallest value in 29, 2\/5, l, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 628, 616, 596, 568, 532, 488?\nAnswer: 436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12871 + 128827\/10. What is the common denominator of 2\/3 + (-8)\/((-14400)\/(-642)) and n?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - v = 14, -5*j + 3 = 4*v - 4. Suppose r - 2 = 2*l - 5, 0 = j*r + 2*l + 9. Which is the second smallest value? (a) r (b) -1\/6 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 7:56 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -444 - -1011. What are the prime factors of n - (-12)\/2 - -4?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.03, -2, -0.4, 1.1, -0.015?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 43, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 3*l**2 - 12*l + 23. Let y be k(11). Differentiate 359 + 6*f - y + 413 + 20*f wrt f.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sb when two letters picked without replacement from afaasfffffbsfsassiaf.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.07 - -0.37. Let v = 0.4 - y. Let m be -1*((-12)\/(-5))\/3. Which is greater: v or m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4 - 1\/4*r**2 - 1\/2*r.\nAnswer: -(r - 1)*(r + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1008486320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*h + 1, -z + 2 = -2*h. Suppose z*v - 7*v + 168 = 0. Let b = -30 + v. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.41 * 721547.\nAnswer: -295834.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.061 + 3.839. Let t = 5533.937 - 5530. Let j = t - u. What is j rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 51323 + -693.\nAnswer: 50630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1633.5247147 + -0.4.\nAnswer: -1633.9247147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 6. Let z = -2 - -2. Let y = 0 + z. Suppose -7*c + 2*c = y. Determine j(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.10047 * 7.41\nAnswer: -0.7444827","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*j - 3*z + 16, -5*z = 3*j - 20. Calculate the remainder when 32 is divided by -1*(-11 + 0) - j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 - 1) + (-1)\/(-1). Let n be (0 - -5) + k\/2. Suppose -2 = -z - 5*c, n*c + 3 - 2 = -z. Sort -1, -4, z in descending order.\nAnswer: -1, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11165 + -12161?\nAnswer: -23356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pmm when three letters picked without replacement from pmxxmxexxxmexe.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 402 and 4?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 26*r - 17. Calculate p(2).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -137*z + 603. What is h(5)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*f**2*q*r**3 + 2*f**2*r + 19445452*f*q*r**3 - 4832*f*q*r**2 - 5979*f*q - r**3 wrt r?\nAnswer: 18*f**2*q + 116672712*f*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 56 - 166\/3. Let u(f) = -6*f**2 + 2*f - 1. Let m be u(2). Let v be (-5)\/42 - m\/(-126). Sort v, 0.02, x in increasing order.\nAnswer: v, 0.02, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 7635?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 11*w**2. Let g(c) = -94*c**2. What is g(x(y))?\nAnswer: -11374*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((u + 0 + 0)*(-2 + 1 + 2) - 5*u + 5*u - 2*u + (-4 + 0 + 1)*(u + u - 3*u))*(2*u - 5*u + 4*u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 171 + 208. Let z = -379.000000672 + h. Round z to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 9*t**2 + 36. What is j(7)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 0 + 8, w + 2*d = -1. Solve w*j - 5 = 5*z, 6*j = 5*z + 2*j for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4 - 2*q**2 + q**3 - q**2 + 3*q + 0*q**2 + 0*q**3. Let r be t(4). Solve -b = 5*g - r, b = -2*b - g + 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 37 (c) 154\/1543 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c**4 - 990*c**3 - 2*c**2 - 6491*c - 30. Let l(z) = -z**4 + 2*z**3 + z + 6. Let s(q) = d(q) + 5*l(q). What is the second derivative of s(f) wrt f?\nAnswer: -12*f**2 - 5880*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19.25 - 3.25. Which is the closest to -0.1? (a) 4 (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/21 (b) 0.3 (c) 26\/5 (d) -3\/5 (e) 432\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (18 - 4) - -14?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-87 - -84)\/(((-528)\/913)\/(-8)).\nAnswer: -83\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w + 15*w + 5*w - 4*w.\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -277.6 + 243. Let g = 35 + u. Let r = -61\/396 + -1\/36. Sort 1\/4, r, g.\nAnswer: r, 1\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.482 rounded to the nearest integer?\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1241.099978417 + 1241.1. Round c to six decimal places.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*u**4\/7 + 1368*u**3\/7 + 3405*u**2\/7 - 50*u\/7 = 0. Calculate u.\nAnswer: -5, 0, 2\/137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 17\/96 (b) 0.1 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -19*c + 3. Let b be v(1). Let r(l) = -l**2 - 18*l + 16. Is 48 a factor of r(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 1\/6, 3, 4740, -2\/5, 100 in descending order.\nAnswer: 4740, 100, 3, 1\/6, -2\/5, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or -75067?\nAnswer: -75067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**3 - 304092*r**2 + 7705995372*r = 0. Calculate r.\nAnswer: 0, 50682","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from fnlfnnfffnlnffnnln.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 56030239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 1 = 4*h, -h = -224*z + 225*z + 9. Suppose 0 = -3*m + 6*p - p + 1, 2*p - 43 = -5*m. Let a(r) = -14*r + 2*r - 2*r**2 + m*r. Determine a(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**2 + 13*r - 10. Let q be y(5). Let k(z) be the third derivative of 10*z**2 + 1\/12*z**4 - 1\/60*z**q + 1\/2*z**3 + 0*z + 0. Solve k(j) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 690.31 - 687. Let o = 3.310642 - p. What is o rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2762, -10936, -24522, -43508, -67882, -97632, -132746?\n\"Answer: 2*r**3 - 2718*r**2 - 34*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 322183473 - 468.\nAnswer: 322183005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8856699 days to minutes.\nAnswer: 1275.364656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 16.88*223.445\nAnswer: 3771.7516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*q + 30*q + 2*q - 126981.\nAnswer: -2*q - 126981","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 1:54 PM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -50, -162, -382, -746, -1290?\nAnswer: -2050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 20*l**2 + 21*l + 19. What is c(-19)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-329)\/(-28) + 13\/52?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -216, -112, 2, 132, 284, 464, 678, 932?\nAnswer: 1232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 77 - 78. Let k be (-1)\/(1\/(-79)*-1*r). Suppose -l + 6*h + k = 5*h, 5*h = 0. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -128*y**3 - 3*y**2 + 3*y - 3. Let u(w) = 127*w**3 + 2*w**2 - 2*w + 2. Calculate 2*f(t) + 3*u(t).\nAnswer: 125*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 49061 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362*g - 455*g = 1078 + 689 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60.498 - 59.9. Round m to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 1949 = -d, 4*j - 69*d = -71*d + 2582. Calculate the highest common factor of 675 and j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**3\/5 - 574*s**2\/5 + 40096*s\/5 + 40672\/5 = 0. Calculate s.\nAnswer: -1, 124, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -2457, 0.2, -1\/5, -3\/19?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ede when three letters picked without replacement from {e: 2, d: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2245 divided by -13\nAnswer: 2245\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mqcpqtqeemee. What is prob of picking 1 m, 1 t, and 1 c?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4 + 890\/15)*45\/6?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -339.7 and -1.\nAnswer: -340.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -3038359 + 543127 + 22*w + 5450*w - 3*w**2 = 0?\nAnswer: 912","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4, -1, 10232, -3, 3, 5 in increasing order.\nAnswer: -6, -4, -3, -1, 3, 5, 10232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 2 + 2)*(-25*z**2 + 809*z - 809*z).\nAnswer: 25*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + (((sqrt(304) - (-1 + sqrt(304) + 1)) + 2 + sqrt(304) + -1)*2)**2).\nAnswer: -4880 - 128*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 (base 10) in base 12?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 28657248, 57314502, 85971756, 114629010, 143286264?\n\"Answer: 28657254*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(309\/412 + (-2 - (-1)\/4))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -9. Suppose -x*z + 5*z + 3 = 0. Let v(b) = -4*b - 9. Let s(r) = -9*r - 22. Let t(h) = -2*s(h) + 5*v(h). What is t(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 4)\/(((-1)\/6)\/(18\/(-108)*4))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 13366*f**2 - 3 - 6680*f**2 - 6681*f**2.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i + 6*i - 3*i - 3*i. Let s(p) = p. Give u(s(b)).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-2)*(28 + -26). Solve 3*p = -r - 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9032, 8862, 8682, 8486, 8268?\n\"Answer: -a**3 + a**2 - 166*a + 9198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -129 - -184. Suppose 3*r - 8*j = -7*j + t, 5*j = -2*r + 65. Suppose 3*x + 21 = 4*c - 2, 4*c - 18 = 2*x. Sort 0, x, r, -2 in decreasing order.\nAnswer: r, 0, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -26\/8872737?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -320021010 (base 4) to base 16.\nAnswer: -38244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**3 - 14*x + 2 + 2*x**2 + 39*x - 27*x - 2*x**4 to b*x + v*x**2 + i*x**3 + d*x**4 + w and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 9?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17622250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 224 + -2024214?\nAnswer: -2023440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1714)\/(-70))\/((-1)\/(-3)). Let r = 794\/35 + i. Let h = 96 - r. Sort h, -4, -0.2 in decreasing order.\nAnswer: h, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1625645860 by -5.\nAnswer: -325129172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6202, 6181, 6160, 6139?\nAnswer: 6118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -158517 divided by -309?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -2*v - 2, 663*v + 2*g = -663*v + 1322*v - 14 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + f + 2)*(-171*f**2 + 253*f**2 + 64*f**2)*(-6*f + f - f) as j*f**3 + a*f**4 + h + l*f + i*f**2 and give a.\nAnswer: -876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 7:36 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -13. Suppose 4*m - 5*y + 16 = 0, 33 = 5*y + l. Let a(z) = -2*z - 3. Let d(x) = -4*x - 5. Let w(b) = 5*a(b) - 3*d(b). Calculate w(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 12 = -3*v, -4*i + 7*i - 11 = 2*v. Let x be (8\/2)\/(1\/v). Let d = 85\/4 - 21. What is the nearest to d in x, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -3 + (-153)\/(-5) + (-9)\/15 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 174, 300, 436, 588, 762, 964?\n\"Answer: b**3 - b**2 + 122*b + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 11)*8\/(-12). Let c be -5 + 3 - (y - 0). Solve c*j + 25 = 9 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -5 - g**2 + 5. Let r(b) = 26*b**2. Give r(w(s)).\nAnswer: 26*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18341 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3+-177.9399\nAnswer: -180.9399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 498473288 to the nearest integer?\nAnswer: 22327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -3*s + 6, -v - s = -4*s - 9. Let p(n) = n + 6. Let b be p(-3). Find the second derivative of -5*a + a**v + 4*a + 0*a**b wrt a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.057 + -3.057. What is the closest to 0 in 0, p, 0.14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15363 (base 7) to base 6\nAnswer: 31540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1*(-3*sqrt(468) - sqrt(13)))**2.\nAnswer: 38*sqrt(13) + 4694","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 49 = 2*q, -24 = 2*v + 2*q - 114. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/13 (b) 2\/119 (c) -2188\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -f**5\/60 - f**4\/24 - f**3\/6 - f**2. Let b(l) = l. Let v be b(-6). Let k be (-2)\/3*(-9)\/v. Give i(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -505 by 8.\nAnswer: -505\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2207 - -0.1207. Sort -4, k, 6.9 in ascending order.\nAnswer: -4, k, 6.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 12*h + 5. What is w(-10)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by ((-357)\/14)\/(4\/(-8)).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 317 divide 1135216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nz when two letters picked without replacement from {z: 6, n: 4}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 168420 = -5*d, -k - d - 42120 = -6*d. What is k rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 9:15 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1*-1*14\/4*(-102)\/119\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -109429 (base 10) in base 8?\nAnswer: -325565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/7, -2\/3, 1, -1\/5 in increasing order.\nAnswer: -2\/3, -1\/5, 6\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -v**3\/3 + 7*v - 1. Differentiate m(h) wrt h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 487 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-4\/3)*s**(-2\/17))**(4\/29)*(((s*s*s**(1\/6)*s)\/s)\/(s*(s*s**(-2\/13)*s)\/s))**(-3\/14) assuming s is positive.\nAnswer: s**(127553\/538356)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2416, -8531, -18730, -33019, -51404, -73891, -100486, -131195?\nAnswer: -166024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.746329 to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 450 and 7190700?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1349 - 1349.02511. Round s to four decimal places.\nAnswer: -0.0251","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 45*m - 53. What is the remainder when g(3) is divided by 30?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18\/16093 - -53106594\/273581. Is 195 >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 227277617 by -32468231.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138, 809, 2014, 3753, 6026, 8833?\nAnswer: 12174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66881 + -47170. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/(-12))\/(10017\/424 + -23). Let m = -0.3 + 3.3. Which is the third smallest value? (a) p (b) -2\/15 (c) m (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from knubjqq. What is prob of sequence qqk?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 46, -2, 5, 0.2, 1 in descending order.\nAnswer: 46, 15, 5, 1, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t + 4 - t + 1. Suppose 0 = -0*n + n - 2. Let q(b) = -4*b + 5*b + n - 2*b. Calculate -5*q(c) + 2*v(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 7. Let r = 3 - z. Let d be (4 - (r - -4)) + -3. Which is the second smallest value? (a) 0.4 (b) 1.5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6.39, 5, 25 in decreasing order.\nAnswer: 25, 6.39, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 26 + -11 + 0 + -28\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21122804.\nAnswer: 2, 43, 227, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 501 - 489. Let t(c) = c**2 + 13*c + 5. Let u(o) = -2*o**2 - 32*o - 12. Determine n*t(i) + 5*u(i).\nAnswer: 2*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 3. Let y = -11 + 11. Solve -h = j - y for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3*u = 2*u + 33, 4*u = 2*i. Which is the nearest to 0.3? (a) 2 (b) i (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.4 - -0.6. Let h be (-1)\/(-3) + (-16)\/(-6). What is the nearest to 0 in 0.1, i, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 327720.64.\nAnswer: -32772.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, t: 4, p: 1}. What is prob of picking 3 t?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + z - 6 = 10, 0 = -4*c - 4*z for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0049735 to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, 11, -1, -99916.\nAnswer: -99916, -46, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 1, -12, -0.4, -5, 6, 332, 1\/2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*o**2 - 39*o**2 - 34*o**2.\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1040*n - 171*n + 660 - 343 - 321 to w + k*n and give k.\nAnswer: -1211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 1 - 19471*k**3 + 4.\nAnswer: -19471*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 38602317?\nAnswer: 38602313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 263 - 173. Is 30 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1580 is divided by 59.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30402*m**2*y**2 - 530*m*y + 14*y**2 wrt m?\nAnswer: -60804*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -25. Suppose -4*p - i = -5*q, 7 = 3*q - p - 5. Suppose -m = -q*m + 9. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 9675722 and 9675670 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/3*(-371)\/(612150\/300).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1155)\/(-140))\/(2\/(97 + -1)). Suppose -z = 0, 0 = -2*r + z - c + 3022. Let l(q) = -2*q + 1313 - r. Let v(i) = -8*i**2. What is v(l(g))?\nAnswer: -32*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7115220445 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 26*y**2. Let p(m) = 8*m - 16*m + 2*m + 0*m. Give b(p(n)).\nAnswer: 936*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (4 + (2 - -3) - 9).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**2 - 1221 + 5778 + 2673 + 62*s**2.\nAnswer: 61*s**2 + 7230","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -14332750.5 rounded to the nearest one hundred thousand?\nAnswer: -14300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*s + 69*s = -57*s - 188320. What are the prime factors of s?\nAnswer: 2, 5, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 676 and 122525.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 58\/3 + (-4)\/(-6). Let z(h) = -2*h**2 + 11*h + 2. Let t be z(6). Let q be t\/4*-2*2. Calculate the greatest common divisor of q and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-3\/13)*l)\/(l*l\/(l\/(l\/(l**0\/l)))*l*l))**(-2\/5) assuming l is positive.\nAnswer: l**(84\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -488 (base 12) to base 14.\nAnswer: -368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**4 + 0*o + 0*o)*(-o - 1 + 18 + 89).\nAnswer: -2*o**5 + 212*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*2*(-5 + -1*sqrt(98))**2.\nAnswer: -984 - 560*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 261*l - 260*l - 4*l**2 + l**2 - 321 + l**2 to j*l + n + m*l**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2375542 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1135, -1136, -1137, -1138?\nAnswer: -1139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**4\/5 + 26*s**3\/3 - 326*s**2\/15 + 238*s\/15 - 16\/5 = 0.\nAnswer: -24, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**(-1)*t)*t)**(-43))**(-27\/2) assuming t is positive.\nAnswer: t**(-1161\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k - 1. Let i be m(6). What is the third derivative of 57*g**i - g**2 - 31*g**5 - 33*g**5 wrt g?\nAnswer: -420*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -101, -7\/3, -1\/5 in descending order.\nAnswer: -1\/5, -7\/3, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 14*q - 19. Let b be a(8). Suppose 7*j - b - 13 = 0. Calculate the smallest common multiple of j and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n**3 + 6*n**2 + n. Let v be g(-4). Let r = 2594 - 2676. Let k = r - v. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 2*j**2 - 13 + j**2 + (-3 - 2*j + 3)*(8*j + 30 - 30) to the form m + v*j + t*j**2 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 196 = -976. Is 16 a factor of (-52)\/u - (-964)\/30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 397 + -239. Let j = -65 - r. Round j to the nearest ten.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220110 (base 3) in base 11?\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(704)*2 - (sqrt(704) - 1*(sqrt(704) + 0)) - (sqrt(198)\/sqrt(2) - (sqrt(11) + 1)*4))**2.\nAnswer: 520*sqrt(11) + 46491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 20 = -0*s + 4*s, 5*y + s - 9 = 0. Let w = -3385 + 3401. Suppose 2*r - 7 = c + y, 2*c - r + w = 0. Sort c, 5, -4, -3 in ascending order.\nAnswer: c, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 23*p**3 - 10*p**2. Let r(g) = 3*g**2 + g**2 + 11*g**2 - 35*g**3. Let h(y) = -7*n(y) - 5*r(y). What is the third derivative of h(z) wrt z?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 38d2?\nAnswer: -38cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 3:34 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1101277830.\nAnswer: 2, 3, 5, 36709261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -58 + 62. Suppose -t = u*l + 3 + 9, 0 = -5*t - 2*l - 24. What is the units digit of (-2 - 10\/t)\/((-1)\/(-58))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.86? (a) 3 (b) 0.5 (c) 27 (d) -2 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 959393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v**3 + 0*v**3 - 2*v**3 + (-30*v - 56*v + 203*v)*(-v + v**2 + v**2 - 5*v**2) + 2*v**3 + 4*v**3 - 3*v**3.\nAnswer: -345*v**3 - 117*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 11*q**2 - 12*q + 2. Let h be j(12). Suppose 0 = -h*b + 5 + 5. Solve -b*z - 4*v = -12, -4*v = -9 - 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -91663256 by 1301.\nAnswer: -70456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of 2*b**6\/25 - 3*b**5\/20 - 7*b**4\/20 + b**3\/5 - 11*b. Suppose o(a) = 0. What is a?\nAnswer: -1, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 24477 times -0.1\nAnswer: -2447.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3676752 + 1?\nAnswer: 3676753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 351 = x, 0 = x - 4*x + 2*m + 1020. What is the greatest common divisor of x and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18044529 > 18044532?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.9 + 0.9. Let l = -0.101 + -4.599. Let m = l - q. Put 5, m, -0.1 in decreasing order.\nAnswer: 5, m, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70d9f0 (base 16) to base 12\nAnswer: -2587ba8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (36\/48)\/((-2)\/(-8)). Suppose 8*g = u*g + 4390. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*p**3 + 24*p**3 + 2*p - 5 + 4*p**2 - 4*p**2 in the form k*p**2 + l*p + w + c*p**3 and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10065 or -10063?\nAnswer: -10063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/7 + 1030592*l\/7 + 132764983808\/7.\nAnswer: 2*(l + 257648)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 66318.929 + -66348. Let z = j + 29.3. What is z rounded to two dps?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9447*u**3 + 18897*u**3 - 9449*u**3 - 22.\nAnswer: u**3 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 195042728 to the power of 1\/3, to the nearest integer?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -30*z - 141. What is the remainder when k(-8) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7090*p + 1699*p = 257*p - 793476 for p.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 147042653?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -890*a + 210413 = -883*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*c**3 + 5*c**2 - 86*c + 24.\nAnswer: (c - 3)*(c + 4)*(7*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 17 = -o, 3*w = -o + 6*w - 9. Suppose 4*z - o*n = 20, z - n - 5 = -4*n. Solve -2*j - 3 = z for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37308 is divided by 37066.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000050935 rounded to seven dps?\nAnswer: -0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 82*y**2 + 635*y + 286. Is n(76) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g - 10299*g**3 - 3*g - 6*g.\nAnswer: -10299*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 23.965629 minutes?\nAnswer: 0.39942715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*q + 178 - 177 + 12*q as b*q + h and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g + g + 0*g)*(-g**2 - g**2 - 7*g**2) in the form m*g**2 + x*g + h + i*g**3 and give i.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -5*u - 9. Let c be g(-3). Suppose -6 = c*z - 270. What is the first derivative of -18 - 17*d**2 - 26*d**2 + z*d**2 wrt d?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*-3)\/(180\/360 + (-22)\/(-4)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*m - 48*m - 37*m.\nAnswer: -29*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 0. Let o be k*5\/(-2) - 0. Suppose -41 = -4*z - 33. Solve -o*j - 50 = -5*b, 45 = z*b + 3*b - 4*j for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34430 + -722768\/21. Let q = t + -37\/3. Is 2 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 10 - 9)*(-1 - 8 + 2)*((-4 + 2 + 3)*(-1 + 0 - 1) + 0 + 0 + 1)*(2*o - 3*o - o).\nAnswer: -252*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (288\/8)\/(((-416)\/128)\/(91\/(-42))).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 2*n - 20, -3*n = 9*q - 8*q - 4. Suppose 0 = q*i - 29 - 3. What is the highest common factor of 216 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3029 * 0.7.\nAnswer: 2120.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4023 + 39*v - 39*v - 17*v**2.\nAnswer: -17*v**2 - 4023","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*f + 20 = -105*f. Suppose -1112 = -f*a + 1303. List the prime factors of a.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 7. Suppose 4 = 4*h - v*i, 0*h = 2*h + i + 1. Let g = 2 + h. Solve 4*x = a - 25, -15 = 2*a + 3*x + g*x for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 74*b**2 + 15*b + 25. Let y(h) = -h - 5. Let q be y(-20). Let j be u(q). Round j to the nearest one thousand.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -149 + 154. Suppose -8 = 2*l, p - n*l = 6 + 14. Solve -3*j + 12 - 3 = p for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**3 + 29*x**2 - 6*x + 134. Let h be o(-15). Let p = -48 - -88. Let d be (3\/20)\/((-10)\/p). Which is the nearest to h? (a) -12 (b) d (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1242.62041 to 1 dp.\nAnswer: 1242.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7461577969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7*(-1)\/(-56)*12\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 4:35 AM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -5*k**2 + 2*k + 1. Let b(q) = -37 - 19*q - 19*q**2 - 14*q**2 + 32*q**2. Let h be b(-17). Let d(l) = 6*l**2 - 3*l - 1. Calculate h*n(v) - 2*d(v).\nAnswer: 3*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = 4*w + x + 3*x, x + 127 = -4*w. Let r = w + 53. What is the highest common factor of r and 126?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1528304554?\nAnswer: 2, 7, 109164611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 614 and 29472.\nAnswer: 29472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1164750, -1164744, -1164736, -1164726?\nAnswer: -1164714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8860*k**5 + 618*k wrt k.\nAnswer: 177200*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*l**3 - 112474*l**2 - 1580793830*l\/9 + 1581806258\/9.\nAnswer: -2*(l - 1)*(9*l + 28123)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14\/281 + -491\/4215. Is 0.27 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 11.1, -2\/3, 0, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 41 and 1 + (-4)\/(-1) - (48 + -48)?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 770887 is divided by 444.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1455468328 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -s + 39930, l - 39933 = 55*s - 59*s. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 416 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 98378693 to the power of 1\/2, to the nearest integer?\nAnswer: 9919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 275*r**2 - 142*r**2 - r - 4*r**3 - 132*r**2 in the form b + f*r**3 + n*r**2 + c*r and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1221590678.\nAnswer: 2, 7, 11, 1033, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 17472.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z - 2. Let a(v) = -v**2 + 2*v + 3. Let x be a(3). Suppose 3*i = -x + 18. Let s be t(i). Solve 0 = 2*u - 6*u + s for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -611 - -608. Which is the nearest to -15\/2? (a) 5 (b) -1\/5 (c) f (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - r + 378. Suppose l = -a - 0*a + 30, 4*a - r = 2*l. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(1\/2)*(d\/d**(-4))\/d)\/(d*d\/(d*d\/(d**0\/d)))**(10\/13)*(d\/d**(-4)*d\/d**(2\/5)*d)\/(d**0)**(2\/13) assuming d is positive.\nAnswer: d**(1673\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1168 and 20?\nAnswer: 5840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -88 + 45. Let c = -79 - g. Let t = -446\/7 + 68. Calculate the common denominator of t and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-8) - (-39)\/4. Let d = 41139\/110 - 1847\/5. Calculate the common denominator of d and (28\/b)\/((-16)\/(-100)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264823 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -532 - -527. Sort -56, -3, p in increasing order.\nAnswer: -56, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = u - 34, -63 + 17 = 5*g + u. Let t be (12\/g)\/((-45)\/1050). Suppose 3*k - 25 = -2*b, -2*b - t = -3*k - b. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(120) - sqrt(120))\/sqrt(10))\/(sqrt(12)*2))\/((sqrt(60)\/sqrt(160) - sqrt(6))\/(-3*-1*sqrt(3))).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**3 + t**3 + 3*t**2 + 2*t**3 + 2 + t**2 - 2*t to the form o*t**3 + q*t**2 + m*t + z and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -287, -1263, -2885, -5147, -8043, -11567, -15713, -20475?\n\"Answer: x**3 - 329*x**2 + 4*x + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 76 and 86?\nAnswer: 3268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 13*s = -12. Suppose -5*t = -s*m - 29, -4*m = t + t - 2. Suppose 0 = -3*q - t*q + 11176. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7054254 to the power of 1\/3, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -x - 4*x**2 - 6*x**2 + 2 - 7*x**2 as t*x**2 + j + p*x and give t.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from dddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 29\/4 - 12\/48. Suppose 5*g - 3*b = 0, -2*b = -4*g + 2*b + 8. Let l = g + k. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1118 less than 1118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.3879 + -0.0079. Let d = 3.4 - 3.78. Let w = i + d. Sort -47, w, -5 in descending order.\nAnswer: w, -5, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0114 - 0.3886. Let f = 2.58 + -0.58. Which is the third biggest value? (a) f (b) 0.2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30443369101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20823 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -0.06, 77, -0.5, -0.14, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -3, 0, 105, -2 in decreasing order.\nAnswer: 105, 4, 0, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/69189 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 478\/(-10) - (-3)\/(-15). Let j be -80*(-6)\/(r\/(-20)). Suppose b + j = 6*b. Calculate the remainder when b is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*h - 88*h - 7155 = -43*h + 74*h for h.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/(-12)*(-2)\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5243463 + 1?\nAnswer: -5243462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/42*4*(-3)\/(-174)*-1?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 271348*z - 250488?\nAnswer: 271348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -19*m + 769. Calculate t(40).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34290273*h + 34290273*h - 90*h**3.\nAnswer: -90*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 0.3, 5, -17\/4 in ascending order.\nAnswer: -20, -17\/4, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 5*s**2 + s - 13. Let m be c(-4). Let x be m + 4 - 5\/1. What is the remainder when 4 is divided by 1\/x*(13 - 9)*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431 is divided by 93?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*-3*5\/(-15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/5*(-45)\/(-189). Let x = o + -3\/7. Put x, 0.06, -1 in increasing order.\nAnswer: -1, x, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 12:46 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f**2 + 4*f - 4. Let l(p) = 543 + p - 2*p - 543 - p**2 + 2*p. What is -2*l(v) + u(v)?\nAnswer: -v**2 + 2*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12996 - -21211. Calculate the highest common factor of 620 and q.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 3*h = -16, 16 = -4*a - h + 5*h for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7895 - 5586. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -391, 0.023, 22 in decreasing order.\nAnswer: 22, 0.023, -391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-15)*(-3315)\/442?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -178 + 10?\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 203*v + 194*v - 10)*(-8*v**2 + 26*v**2 - 14*v**2)*(4*v - v - v).\nAnswer: -72*v**4 - 64*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 19. Suppose 0 = -y*p + 11 + 1. Suppose 0 = 2*r - p*r + 5*j + 21, r + 2*j = 14. Solve 0 = q + 3*q - r for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -3\/8 (b) -4\/5 (c) -3 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 2. Suppose -16 = -g*v + 3*v + 2*l, l + 5 = 0. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 2. Let c = 2.0024 - b. What is c rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrr. Give prob of sequence rr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 3. Let h = i + -1. What is the remainder when 29 is divided by 116\/8 - (-2)\/h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -253 (base 8) to base 4.\nAnswer: -2223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 438485 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a + 0*a + 2*a. Let z = -25 - -19. Let n(k) = -k. Give z*n(h) - f(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4257440 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(208)\/(1*sqrt(8) + sqrt(8) - sqrt(8)) + (sqrt(26) - -2*sqrt(2106)))\/(sqrt(2) + 3*sqrt(10)\/sqrt(5) + (sqrt(2) - (sqrt(200)*-3 - sqrt(200)))).\nAnswer: -8*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 415 and 326854.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**2 - 4*p**2 + 538*p**3 - 228*p**3 + 456*p**3.\nAnswer: 766*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14763 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*sqrt(11) - (-2*sqrt(88))\/sqrt(8))**2 + 3 - ((sqrt(110)*2 - sqrt(110))*-6 - sqrt(110))\/(sqrt(960)\/sqrt(6)).\nAnswer: 7*sqrt(11)\/4 + 1103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/8 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(32) - sqrt(2)) + sqrt(20))\/sqrt(10) + -1*4*(sqrt(2) + sqrt(4)\/sqrt(2)).\nAnswer: -20*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4*c - 104 = 0, -5*z + c + 51 = -3*z. What is the highest common factor of 4 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3607*m - 3602*m + 2 = -u, 4*m = -u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c + 189 - 309 = 0 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 56 and -8.\nAnswer: -448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2 - 2*u**2 - u**2. Let a(t) = -5*t + 6*t + t. Give f(a(y)).\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 84.9721896 to the nearest integer.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-7\/2)\/v**(-2\/23))\/(v**(-2\/9))**46 assuming v is positive.\nAnswer: v**(2819\/414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*r - 232 - 312 = 572. Let k be -28*(-2)\/6*-3. Which is smaller: r or k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 47*y - 486758 = 173086. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 838*r**5 + 1022*r**3 + 2*r - 21.\nAnswer: 16760*r**3 + 6132*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 51031291, 102062572, 153093853, 204125134, 255156415?\n\"Answer: 51031281*x + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-24)*(-4 + -208)*(-5)\/(90\/(-9)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.11 + -0.1187. Let k = -2.8213 + w. What is k rounded to one dp?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**3 - 11*a**2 - 24*a + 36 = 0. What is a?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13300341.\nAnswer: 3, 17, 260791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of 0 + 1\/15*z**6 - 3*z + 0*z**3 + 0*z**2 + 0*z**4 + 0*z**5 - 1\/21*z**7. Suppose a(p) = 0. What is p?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31.5 + 36.5. Let i = -332 + 15600\/47. What is the fourth smallest value in g, i, -1, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5*b**2 + b + 6. Let z(c) = 5 - 5 + 1 + 0 - c**2. Suppose -3*i - 5*v + 13 = 0, -4*i + 2*v + 1 = -25. Determine i*z(x) - m(x).\nAnswer: -x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i + 5. Let f be d(11). Let a be 22*17 + -3 + (-24)\/f. List the prime factors of -5*(-10)\/a + (-5426)\/(-30).\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -15, 3?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-32)\/(-8) - (-6)\/(-2). Let l = -4\/11 + 19\/22. Is l greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1231615 + -332590.\nAnswer: -1564205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 9*k - 130. Let v be l(15). Which is the closest to -0.1? (a) 0 (b) -2\/7 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2930851545?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 15*j**2 - 15*j + 15. Let u be i(14). Let q(f) = 114*f. Does 19 divide q(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u + u**2 - 3*u + (-1866*u + 1866*u - 79*u**2)*(2 + 3 + 0).\nAnswer: -394*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.878 to 1 decimal place.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.8953948us in days?\nAnswer: 0.000000000207122625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -4\/1330569?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64168400 divided by 6416840.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*g = -175. Let j = g + 56. Does 6 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-10) + ((-66)\/(-14))\/(480\/448). Solve 56*d - 1 = 58*d + 5*c, q*d - c + 16 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 + 70*x + 148.\nAnswer: -2*(x - 37)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of (-950)\/(-4)*9116\/530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2112415020 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 487 + -447. Is v not equal to 40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92761, 185562, 278427, 371368, 464397, 557526, 650767?\nAnswer: 744132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 22*s - 7. Let d(y) = -7*y + 2. Suppose -2*g + 9 + 15 = 4*m, 3*g + 13 = m. Let c(j) = m*d(j) + 2*o(j). Let t = 6168 - 6170. Calculate c(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*(((g*g\/g**(-12))\/g*g)\/g)\/g*g*g*g**6*(g*((g*g**0)\/g)\/g)**22 assuming g is positive.\nAnswer: g**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33145?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - ((-4)\/(-2) - 3). Are 1\/44 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (146*y + 2025 - 2025)*(-1 + 5 - 3) to the form c*y + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -27, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of 43*q**5\/20 + 2*q**3 + 895*q**2\/2 - 480*q. Differentiate k(a) wrt a.\nAnswer: 129*a**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z + 17*z = -2*w - 2506, -3*z - 2498 = 2*w. Let r = -362 - w. What is the hundreds digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t + 39. Let i = -40 - -51. What is the least common multiple of h(10) and i?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*z - 134*z - 13*z**3 + 6*z**3.\nAnswer: -7*z**3 + 9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 1.58\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 2:56 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -3 (b) -72\/11 (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3512103532 + -2?\nAnswer: 3512103530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 s, and 2 k when four letters picked without replacement from kppkskuuuusuu?\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 464 + 900 = 5*f + 487, 5*f - 4*b = 61 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -4*i + j, -5*j = 2*i - 4*j - 31. Let t = i + 37. Does 23 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 9:05 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2*((1*sqrt(135))\/sqrt(5))**2 - (sqrt(27) + sqrt(432) + 4 - (sqrt(27) + sqrt(81)\/sqrt(3) + -4)**2)).\nAnswer: -264 + 252*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, -0.5, -5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.04326 - 41.44674. What is o rounded to the nearest integer?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of 2 + 11*c**2 - 16\/9*c**3 + 1\/9*c**4 + 2\/15*c**5 - 1\/315*c**7 + 1\/180*c**6 + 0*c. Let z(u) = 0. Calculate u.\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 g, 1 e, and 1 n when four letters picked without replacement from {y: 4, g: 1, e: 1, u: 1, n: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33733 - 31067. What is the greatest common divisor of 186 and q?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 35 = -0*j - 5*j, 3*j - 15 = 0. Suppose g*s + 23 = 155. Does 22 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 938 and 33433?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -3*a**5 - 6*a**4 + 117*a**3 + 120*a**2 - 1200*a = 0.\nAnswer: -5, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -162 divided by -54?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6763 + 6779. Solve 8*u = 4*b + 7*u + q, -5*b + 2*u = 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 5*p - 63585 = 0, -4*s = -0*p + 2*p - 50874. Suppose 268*v - s = 270*v. What is v rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 474275 by -311.\nAnswer: -1525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, z: 4}. Give prob of picking 2 j and 2 z.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 804007?\nAnswer: 804007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4*o - 23 = 0, 0*p - 3*p - 5*o - 19 = 0. Let j(x) = -x + 6. Let i be j(p). Calculate the least common multiple of 1 and 12*12\/i + (-3)\/1.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 416 and 325?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggsg when four letters picked without replacement from {a: 2, g: 8, s: 4, q: 1}?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 b when two letters picked without replacement from bbnkbnb.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6992261 - 866.18\nAnswer: 6991394.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 120, -44, -208?\n\"Answer: -164*r + 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -4*z - 144. Let i be -1*(35091\/6)\/3. Let y = 1914 + i. What is the common denominator of y and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7970287, -15940556, -23910823, -31881088, -39851351, -47821612, -55791871?\n\"Answer: n**2 - 7970272*n - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w - 4. Let x be q(6). Suppose 4*p - 8 = -5*s, 0*p - x*p = -5*s - 4. Is 2\/29 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 6:31 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3*r + 936 = -b, -4*r = -8. Let t(h) = -b + 2*h + 465. Let u(a) = 43*a**2. Calculate u(t(v)).\nAnswer: 172*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (2 - 15) - (-11 - (25 - 26)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 272965 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 5 = 3*s. Let u be 159\/s + 1\/(-2). What is the greatest common factor of u and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -20 (b) -15 (c) 1 (d) 0.1 (e) 0.3 (f) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 6*t**2 - 6*t - 5. Let f be q(5). What is the tens digit of (-1 + (-26)\/f)*15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-3)*(r\/(r\/r**(7\/2)*r))\/r*r assuming r is positive.\nAnswer: 1\/sqrt(r)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.738 * 5.84.\nAnswer: -45.18992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1925271757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + m**3 - 3*m)*(-2*m - 1 + 1) + 0*m + 0*m + m**4 + (0 + 0 - 2*m)*(0*m**3 + 2*m**3 - m**3).\nAnswer: -3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173 = 6*u + 113. Let k(x) = -26*x + 6. Let a(h) = 80*h - 20. Let o(w) = u*k(w) + 3*a(w). Let v(t) be the second derivative of -t**3\/3 - t. Give o(v(c)).\nAnswer: 40*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 5*j + 5 = 0. Let m = 28 - 55\/2. What is the nearest to m in j, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 2*j**2 - 2*j + 1. Let d(q) = 10*q + 38. Suppose 15*h + 40 = 5*h. Let s be d(h). What is v(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 17, e: 1}. Give prob of sequence es.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/8 + 309*x\/2.\nAnswer: x*(x + 1236)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**2 - s - 3. Let n be 3\/9 + 14\/3. Suppose -n*f - 25 = -0*f. Let u(x) = x**2 + 1. Let z(g) = f*u(g) - 2*m(g). What is z(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**4 - 29*g**3 - g**2 - 14*g wrt g.\nAnswer: -48*g - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3065538006 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-9))**13*d**19*d**(2\/25) assuming d is positive.\nAnswer: d**(-2448\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2890543962.\nAnswer: 2, 3, 17467, 27581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 12:30 PM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 296*k + 876. Determine v(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34231*g**4 - 8*g**2 + 9*g - 10 wrt g?\nAnswer: 821544*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (126\/(-60))\/((32\/80)\/(56\/(-105)))?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - u = 0. Suppose 5*c + j - 20 = u, -j + 5*j - 8 = 4*c. Solve l = -2*k - 6, -l = -k + 2*l - c for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-5))\/((-48)\/1320) - -3. Suppose p*q = 30*q - 735. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9126193546 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-668)\/(-35070))\/(2\/(-6))?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d = -12*d + 4. Let g be (-14 - 6)*15\/d. Round g to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y. Let h(g) = 172*g. Give h(b(w)).\nAnswer: 344*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -17*g - 5. Suppose -11 = -4*t + 5. Let j(m) = 6*m + 2. Let k(l) = t*s(l) + 11*j(l). What is the smallest common multiple of 20 and k(-2)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26342899*f + 5 - 26342892*f + 52685796*f - 5.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5a888193 + -4?\nAnswer: 5a88818a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of v**5\/60 - 42*v**2. Let l(x) = -3*x - 12. Calculate u(l(o)).\nAnswer: 9*o**2 + 72*o + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 64396 divided by -6\nAnswer: -32198\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d. Let n(m) = -3*m + 27. Determine -4*c(p) + n(p).\nAnswer: p + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/5 + 1086*d**2 - 3361513*d\/5 - 3366942\/5.\nAnswer: (d - 562)*(d + 1)*(d + 5991)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -108 - -758\/7. Let w be (4 + -1)*4\/(-42). Which is greater: t or w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(1\/14)*i))\/(i\/(i*i**(-3\/4)\/i)) assuming i is positive.\nAnswer: i**(-79\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2283 + 819 + 204 = 63*q for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3578 - 2.3578. What is the second biggest value in 3, 138.8, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*a - 152*a + 2895 = 7114 + 5399 for a.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -441 - 1?\nAnswer: -442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/354599 and 85\/147.\nAnswer: 7446579","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 k when two letters picked without replacement from ndomddnooddokndd?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1512 - 1539 - 2\/(2\/(-11))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x - 56. Let d(u) = -4*u**2. Give d(q(i)).\nAnswer: -16*i**2 - 896*i - 12544","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5250000 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-3 - (7 + -2 - -1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, c: 1, y: 4, z: 5}. What is prob of picking 1 y, 1 c, and 1 l?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -12 - 52. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*w**2 - 3*w**3 - w**3 - 64*w**2.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -9103\nAnswer: 7\/9103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 26*i - 1. Let w be p(-1). Let u = -7 - w. Let l(n) = -n**3 + 6*n**2 - 7*n - 1. Let k be l(3). Solve -k*o + o = -u for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01922+269\nAnswer: 268.98078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 5*n**3 + 8)*(4 - 4 + 4) + (4*n**2 - n**2 - 4*n**2)*(2*n - n - 4*n).\nAnswer: 23*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 - 8 - 63)*(-396*k + 182*k + 138*k).\nAnswer: 7372*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -116283 (base 12) to base 9\nAnswer: -466470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1796818?\nAnswer: 2, 898409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 84384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2. Let n(a) be the first derivative of -a - 1\/6*a**3 + 0*a**2 - 3. Let j(m) be the first derivative of n(m). What is j(x(y))?\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 56*s - 57*s - 3. Let h(w) = -3*w**3 + 3*w**2 + 20*w + 72. Let o be h(s). Calculate the highest common factor of 320 and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/44*13\/1\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -202*i**2 + 5184 - 19*i**2 + 81*i**2 - 2*i**3 - 2304*i = 0.\nAnswer: -36, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1609553 - -0.0618479323.\nAnswer: -1609552.9381520677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 + 71 + -110 + (0 - 40)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**3 + a**2 + 2*a**3 - a**2 + 3*a to w + v*a**3 + s*a + z*a**2 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-114)\/(-27) + (-2)\/9. Let p be (0 + 3)*8\/y. Suppose p*r = 4*r + 502. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -21 and 1888.\nAnswer: 1867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 311 - 151 - 157 + 90*q**5 - q wrt q?\nAnswer: 1800*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 196?\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 290985 and 47595.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -260186 + 109278037\/420. Find the common denominator of b and -41\/5530.\nAnswer: 33180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4437.917244 to the nearest ten.\nAnswer: -4440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 j when two letters picked without replacement from spajw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y + 0*y - 3*y)*(2*y - 2*y + y) - 3*y**2 - y**2 - 4*y**2.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(128) + (sqrt(70)\/sqrt(7))\/sqrt(5).\nAnswer: 17*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -3 + -3 - (5 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 66860.1, 2, 0.1, -2, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5462 divided by 289\nAnswer: -5462\/289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-14)\/(-2))\/(-2 + 3). Suppose 3*a = -u + 17, v = -2*a + u + 2*u. Differentiate 5*b**4 + 3 - 6*b**a + b**3 - b**3 wrt b.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - -3)\/2 + 528\/(-2). Which is the third biggest value? (a) u (b) -4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 145 + -146 - (-4)\/10. Put -1\/3, 204, n in decreasing order.\nAnswer: 204, -1\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 0. Suppose 4*y = 3*y + j. Solve -y*u + 6*u = -15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 4 = -2*m, -b + 2*m = -0*b + 7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(88) - (sqrt(88) + (sqrt(88) - -1*sqrt(88))))*5)\/(-4*sqrt(24)\/sqrt(3) - sqrt(32)\/(sqrt(4)*-2 - sqrt(4))).\nAnswer: -150*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*p = 11*p + 30. Suppose 7378 = p*k + 5*d, -10*k + d = -11*k + 2460. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 216 and 720?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -49*q. Let u(k) = -4950*k. Let n(i) = -405*h(i) + 4*u(i). Let v(t) = 683 - 342 - 341 + 2*t. Calculate v(n(x)).\nAnswer: 90*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 54*f + 659. What is j(-15)?\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-one halves of a millennium?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*d + 102*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**5\/20 + 3*u**4\/8 + u**3 - 19*u**2 + 1. What is the lowest common multiple of 14 and n(-13)?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 12:57 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 129*a**3*l**3 + 21*a**3 + 2*a**2*l**3 - 10*a**2 - 2863*a*l**3 - 185*a*l**2 wrt l.\nAnswer: 774*a**3 + 12*a**2 - 17178*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -5, 1, 4 in ascending order.\nAnswer: -5, 1, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0436596 rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = r + 2*f + 35, 2*r - 3*f - 66 = 0. Suppose r*d = 28*d - 5. Solve 2*l = -5*t - 25, d - 15 = -l + 2*t for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**2 + 2864*m + 2050624 = 0.\nAnswer: -1432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/15 of a decade?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -8. Suppose -5*w + 2*d - d = -39, 5*w = n*d + 47. What is the remainder when 12 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 5*r**4\/2 + 6*r**2 - 12. What is the second derivative of g(y) wrt y?\nAnswer: 60*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*b - 10 + 175. Let f be (-156)\/(-27) - (-4)\/18. Suppose -4*s + 295 = 5*c, -3*s - 3*c + 228 = -f*c. What is the highest common divisor of b and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -15 + 7 - 3 - 24*i. Calculate the remainder when x(-5) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 0*a + a - 10*a + 7*a. Let z(w) = -1276*w**2. Calculate f(z(n)).\nAnswer: 2552*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -12\/11, 1\/4, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -451*f + 1272 = -1885. Let j = 70 + -49. What is the greatest common factor of j and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 9*y - 3. Let g(r) = 152*r + 150*r + 144*r - 462*r. Calculate g(i(k)).\nAnswer: -144*k + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -815383 by -6.\nAnswer: 815383\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - b**2 - b - 1. Let s(d) = -3*d**3 - 2*d**2 - 10*d - 5. Let z(g) = -s(g) + 4*u(g). Let x be z(-4). Solve -5*f = -4*l - 21, 7 = -4*l - x for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 + 296100*d**2 - 4384944660*d + 35060609440.\nAnswer: -5*(d - 29606)**2*(d - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/6)\/(4\/6). What is the remainder when (o\/3)\/(2\/(-105)) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 20*f + 4. Is s(-19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 - 247. Let h be (-38)\/g + (-1866)\/(-22). Let p = h - 59. Calculate the greatest common divisor of p and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1271, -740, -209, 322, 853, 1384?\nAnswer: 1915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*u - 4*y + 2, u + 6 = -5*y. What is the second derivative of 121*p + 567*p**5 + 571*p**5 - 28*p**u + 6*p**4 - 1133*p**5 wrt p?\nAnswer: 100*p**3 - 264*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337061 a multiple of 1453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**5 + 5613*t**4 - 443*t - 5613*t**4 + (2*t**4 - t**4 + 0*t**4)*(t - 2*t + 2*t) + 0*t**5 + t**5 + 0*t**5.\nAnswer: 4*t**5 - 443*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 639010676?\nAnswer: 2, 307, 379, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85070598, 170141198, 255211798?\nAnswer: 340282398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26521879 to the power of 1\/3, to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75153 is divided by 24467?\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 182 and 2534.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + n**2 - n - 1. Let p(l) = -12*l**3 - 4*l**2 + 3*l + 2. Determine -4*b(g) - p(g).\nAnswer: 16*g**3 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28150 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1526 divided by 5\nAnswer: -1526\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1609 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: Let f = 39 + -24. Calculate the remainder when f is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-two fifths of a decade?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**3 - 2*p**2 - 3*p + 3. Let x be ((-12)\/(-9))\/((-2)\/(-3)). Let r be h(x). Let i(o) = -o**3 + 6*o**2 - 3*o - 6. What are the prime factors of i(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 11:19 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 8, r: 3}. What is prob of picking 3 r and 1 u?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111 + 185 = -79614327*b + 79614323*b for b.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 - -33*9\/108?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -485*r - 1 - 471*r**4 + 491*r - 5836*r**4 + 358*r**2 wrt r?\nAnswer: -151368*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4635, 4651, 4655, 4641, 4603, 4535?\nAnswer: 4431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 1, 0.2, 0, 105\/8, 1\/3, 199?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2880)\/24705)\/8*(-4)\/(80\/15)?\nAnswer: 2\/183","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -891*p. Let g(k) = -293*k. What is g(u(q))?\nAnswer: 261063*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -46 + 71?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 1) + 0 - -21. Suppose -1064 = 35*i + 3055 - 127704. Suppose i = -17*g + d*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*k + 83*k - 100 = 0. Suppose -760 = -k*t + 42*t. List the prime factors of t.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*r - 3208 + 3195 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1194 rounded to 2 decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1242.633458 to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.7497 rounded to one decimal place?\nAnswer: 13.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 8*r - 17. Let k be w(10). Suppose k*c + 35 = 59. Solve -14 = -3*b - 4*g, -g - c = -6*b + b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/6 (b) 2\/7 (c) 0.3 (d) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-6 - -10252)\/(246\/(-451) + (-35)\/(-44))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 382752779 to the power of 1\/3, to the nearest integer?\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-23 + 24)*(12 + -1). Solve b*u - 7*u - 8 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 22*b**3 - 3*b**2 + 2*b - 3. Let f be r(2). Suppose a - f = -10*a. Let o = a + -11. Solve 0 = -o*l - 13 + 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rg when two letters picked without replacement from rkmrbmgrgm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/118 and 129\/108110?\nAnswer: 6378490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -1) + -397 + 450 + -13?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(1\/(-2))*6. Suppose -4*o - 311 = 3*u - 243, -3*u = 12. Do o and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 3*c. Let n be d(-2). Factor -n*o - 1 - 1\/4*o**3 - 5\/4*o**2.\nAnswer: -(o + 1)*(o + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 11*z**2 + 11*z - 7. Suppose -5 + 15 = b. Let g be x(b). Let m = -3 + 5. Solve u = m - g for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.04 rounded to one decimal place?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/896 and (-147 - -146) + (3 - 890\/504).\nAnswer: 8064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 185*o**3 - 2 - 210*o**3 + 451*o**3.\nAnswer: 56*o**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -0.008\nAnswer: 0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by -165\nAnswer: -4\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -210, -211, -214, -219, -226?\nAnswer: -235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*c = -936 - 47320. What is the hundreds digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35660 and 7.\nAnswer: 249620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24 * -309.\nAnswer: -7416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004819 to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, f: 6}. What is prob of picking 2 f and 1 t?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 143\/680 - 7\/680. Sort 1\/11, y, 1\/6, -0.08.\nAnswer: -0.08, 1\/11, 1\/6, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 5*o + 29, -4*q = o + 22 - 6. Sort q, 1, 0.5 in decreasing order.\nAnswer: 1, 0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5*y**3 - 6. Let c(d) = 11*d**3 + 12. Let j(r) = -6*c(r) - 13*n(r). Differentiate j(i) with respect to i.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14601 or 14644?\nAnswer: 14601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -280811, -1123309, -2527471, -4493291, -7020763, -10109881, -13760639?\nAnswer: -17973031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 69 - 184 = 0. Calculate the highest common divisor of s and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 6*k. Suppose -1\/3*b**3 - 1\/3*b**2 + 0 + k*b = 0. Calculate b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -309*n + 1052. Does 70 divide i(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 740 - 739. Sort -6, 0, j in descending order.\nAnswer: j, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mcoa when four letters picked without replacement from {d: 4, m: 4, c: 1, a: 3, o: 1, x: 1}.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 995334780?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 63125138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 6*d - 3. Let a be p(1). Suppose 4 - a = -c. Let y be c\/2*9\/(36\/(-40)). Solve y*v - 4 = 6*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 4*d + 4. Let q(j) = j + 1. Let y be (-31)\/(-8) + 5\/40. Suppose 0 = y*n - 20. Calculate n*q(o) - k(o).\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.39 (b) 214.42 (c) -9.6 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rqqqrrrqrrqqrrttr. Give prob of picking 1 q and 3 r.\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(2) - (-2 + sqrt(2))*3) + (sqrt(8) + -1 + sqrt(2) - (-4 + sqrt(8)\/sqrt(4) + sqrt(2)))**2 + -2.\nAnswer: -6*sqrt(2) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjiftxtyiiiy. Give prob of picking 2 x and 2 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from auxpsuxpi. Give prob of sequence xui.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 5*t**2 + 2. Let k be a(5). Let g = -1 + 4. Suppose u - 32 = -g*l - u, 4*u + 48 = k*l. Is 14 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*j**2 - 10*j**2 - 22*j**2.\nAnswer: -99*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 11*m**2 + 2*m - 2. Let h(k) = 177*k**2 + 33*k - 33. Give 6*h(w) - 99*u(w).\nAnswer: -27*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i - 2. Let t be v(10). Let o = t - -8. Put o, 5, 0 in increasing order.\nAnswer: o, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24984 divided by -1?\nAnswer: 24984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 11:11 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 917065257 divided by 305688419\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 2076.\nAnswer: 10380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-274)\/5)\/((-4)\/20) and (-112)\/(-6)*(-1674)\/(-2232).\nAnswer: 1918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -0.318418?\nAnswer: 1.59209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a tonne in kilograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10664 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: Convert 8bce2 (base 15) to base 9.\nAnswer: 747425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -5, 199, 1, 5 in ascending order.\nAnswer: -5, 1, 5, 7, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 6*l - 1. Suppose -42*r + 662 = 32. Let a(i) = 4*i - 2 + 16 - r + 5*i + 4*i. What is -2*a(o) + 5*w(o)?\nAnswer: 4*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 586031352722*k**2 + 26*k**3 - 586031352722*k**2.\nAnswer: 26*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 2*d - 145. Does 35 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 10:16 AM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**2 + 40*z**3 - 3 + 2 + 4*z**2 - 3*z**2 - 131*z.\nAnswer: 40*z**3 - 2*z**2 - 131*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 117 = 145. Suppose -5*g + m - 2*m = 8, -3*m + 4 = g. Let j(o) = -13*o**2 + 4*o. Let v(r) = r**2 + 3*r**2 - 3*r + 2*r. Determine g*j(s) + y*v(s).\nAnswer: -2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -628.2599, 3, -4\/5, 2, -0.1?\nAnswer: -628.2599","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 20 = -3*w, 4*d - 3 - 21 = -2*w. Calculate the least common multiple of w and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3, 0, -1, 4 in increasing order.\nAnswer: -1, 0, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 + 216*s**2 - 43 + 59*s**2 + 76*s**2.\nAnswer: 351*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 566121464, 566121465, 566121466, 566121467?\nAnswer: 566121468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 20?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is be - -104?\nAnswer: 1c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 72 = -4*y, 0*v + 2*v - 72 = -3*y. Let l = 163 - v. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203 is divided by 20.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a**2*w**4 - 22*a**2*w - a*w - 250*w**4 + 4*w wrt w?\nAnswer: 36*a**2*w**2 - 3000*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -i**5\/20 + i**4\/4 + i**3\/6 + 5*i**2\/2 - 2*i. Let l be ((-2)\/(-6))\/((-4)\/(-48)). Determine o(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 - 2 + (9 + 11 + 31)*(1 - 1 + 1))*(-1 + 3 - 6)*(-2*i - i + i) to p + u*i and give u.\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*g + 12*t + 88 = -38*g, 3*g + 4*t = -40 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 332 - 14?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**2 + 9562394*n - 172123740 = 0 for n.\nAnswer: -4781215, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -57 (b) -4.7 (c) 5\/29 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-177)\/(-204) - (4 + 212\/(-16) + (-5 - -15))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5477*p - 19 = 3*x + 5476*p, -2*x = -2*p + 18 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 6:52 PM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 84\/18*((-1)\/7 + 1). Suppose k*y = 11*y - 175. Solve -23*g + y*g = 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**2 + 5*t + 2. Let j be s(3). What are the prime factors of (1\/3)\/(j\/(-36))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 45252129, 45252125, 45252119, 45252111, 45252101, 45252089, 45252075?\n\"Answer: -f**2 - f + 45252131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1461923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(325) + -1 + (sqrt(325) - (1 + sqrt(325) + 1)) + 1)**2*5.\nAnswer: -350*sqrt(13) + 1870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 170 and 1230.\nAnswer: 20910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2ca9 + -543?\nAnswer: 2766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of 0*r + 6*r**2 + 0*r**6 + 2\/105*r**7 + 0*r**4 + 0 + 1\/2*r**3 + 0*r**5. Differentiate q(d) with respect to d.\nAnswer: 16*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -106710 bigger than -105824?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -16 + (-2 - -10) - 1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 70 - (-453 - -557)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-20) - 7\/(-5). Let d = o - -2. Suppose 3*g = -0*g - 6, 5*x + d*g - 29 = 0. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-1 + 0\/2). Let b be (-3 - (-1 + -3))\/((-1041)\/6). Does b = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 41, 49, 55, 59, 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268551 is divided by 30?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -15. Let g = 1 - t. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1624339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 0 + 19223 + (-18 - -15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -0.025\nAnswer: -0.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 512 = y, -2*u - u = 4*y + 1531. Let s = u + 531. Solve -14 = 2*l - s for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5967461 to the nearest integer?\nAnswer: 2443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/3)\/(6\/(-72)). Let n(p) = 2*p**2 - 13*p + 9. Let v be n(j). Let x = -19 + v. What is the remainder when 53 is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3498355 and 24759.\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2181100897219+-0.01\nAnswer: -2181100897219.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0, 1, -5 in descending order.\nAnswer: 1, 0, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 1980.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130300, -261114, -392440, -524278?\nAnswer: -656628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2888.2 * 2472\nAnswer: 7139630.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 18 (b) 13.23 (c) -0.133\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 219 + 1101. Suppose 0 = -j + 5, -2*u = 3*u + j - d. Is u a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1049.148713 - -962.14871226. Let s = r - -87. What is s rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = r - 21. Solve -4*y + r = 23 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58885 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -119*f. Let m(c) = -2*c + 1. Let a(o) = -18*o**2 - 12*o + 6. Let p(w) = -2*a(w) + 12*m(w). Give p(g(r)).\nAnswer: 509796*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*6\/((-36)\/(-10)). Let t(a) = -a + 7. Let x be t(6). Sort r, x, -1 in decreasing order.\nAnswer: x, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 198182*m**4 + 179082 with respect to m.\nAnswer: 792728*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211211 - 20111111120?\nAnswer: -20112100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 6590.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by 8028855.\nAnswer: 1\/535257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73772*i - 73734*i + 950 = 0 for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - p - 9 = 2*j, 2*j = -5*p - 15 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4*g, -5 = k - g - 0*g. Let h = 83 - k. Suppose 0 = 4*q - 43 - h. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of 1\/12*h**5 - 1\/6*h**3 + 0*h + 0 + 4*h**2 + 0*h**4. Differentiate u(k) wrt k.\nAnswer: 10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89751, 89654, 89485, 89238, 88907?\nAnswer: 88486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p**5 - 465*p**4 - 10550*p**3 + 11490*p**2 + 10555*p - 11025 = 0. What is p?\nAnswer: -49, -45, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 (base 16) in base 6?\nAnswer: 5534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 50\/(-4)*12\/15. Let p be (-16)\/m + (-4)\/(-10). Do 2 and p have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -66698, -2, 4, -4, 5, 2 in increasing order.\nAnswer: -66698, -4, -2, 0, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-five quarters of a micrometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + 68. What is the units digit of (-6)\/(-18) + b\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1415*v - 13 + 142 = 1458*v. Solve -p + 2*p = v for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 6.05. Let h = c - 0.45. What is the nearest to 2 in 3, -3, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 674, -1.6, -85.4, -4.\nAnswer: -85.4, -4, -1.6, 674","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 279.811 + -280. Let c = k + 5.189. What is the biggest value in c, 1, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 + 28. Let q be ((-2)\/(-30))\/(-2 + o\/(-6)). Which is the closest to 4? (a) q (b) 1\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3354118?\nAnswer: 2, 587, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 22 + 408 + -386?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxxxxx. Give prob of sequence xxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + ((-70)\/(-21) - (1 + 1))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -551, -1106, -1663, -2222, -2783, -3346?\nAnswer: -3911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*m - 1967 = 2881 - 4064 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.40035 - -5.4. Round i to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 + -32. Suppose q*x = x + 3*v - 3, 5*x = -2*v + 15. Solve -2\/3 + 0*l**2 - 1\/3*l**x + l = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6245664 is divided by 36?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157505 is divided by 111.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (-3 + -6)) + (1 - 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1515 + 1?\nAnswer: -1514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 214*k - 288*k + 2738. What is the remainder when 922 is divided by k?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1700) + (sqrt(1700) + 1)**2*-1 + ((1*-2*sqrt(17))**2 - sqrt(17)) + (sqrt(68)*-2)**2 + -5.\nAnswer: -1366 - 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**3 + 18*w**2 - 3*w + 27. Let x(l) = -7*l**3 + 84*l**2 - l + 21. Let y be x(12). Let k be q(y). Solve -5*v + k*v + 15 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1473 + -329. Suppose -125 + 13 = -7*h. What is the common denominator of h\/(-88) - q\/352 and 99\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1146 = 630*w - 2496 + 689 - 197 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of o**7\/945 - o**6\/270 - o**5\/270 + o**4\/54 - 25*o**2. Factor n(d).\nAnswer: 2*d*(d - 2)*(d - 1)*(d + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 3. Let b(w) = -36*w**2 - 40*w**2 + 82*w**2 - 15. Suppose 4*t - 29 = -5*j, -7*j - 45 = -3*t - 3*j. Give t*a(k) + 2*b(k).\nAnswer: k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/197992 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/4 (b) 1 (c) -3.8 (d) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*w)*(0*w**2 + w**2 - 3*w**2)*(w - 2*w + 0*w)*(-51 - 192 + 104).\nAnswer: -556*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1260)\/(-30))\/84)\/(1\/(37\/(-1)))?\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9276 - -6084. Let x = 3137.84 + i. Let h = x - -52. What is h rounded to one dp?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12145 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292 is divided by 67.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 129377?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1996384 by 62387.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -158796 divided by -33?\nAnswer: 4812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.674 + 0.348?\nAnswer: -0.326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26139 + 18310. Suppose -3*y = 3*k + 1757218 + 6266, -4*k - y = 2351315. Let i = k - p. Round i to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 s when four letters picked without replacement from {s: 5, l: 7}.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 0*l**2 + 0*l + 0*l**4 + 21 + 3*l**3 - 6\/5*l**5. Find the third derivative of h(b) wrt b.\nAnswer: -144*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -476 less than -17235516781?\nAnswer: -17235516305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 f, 1 i, and 1 s when four letters picked without replacement from sssiismsiimffsiss?\nAnswer: 8\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 52 = -3*s, s - z = -10 + 26. What is the lowest common multiple of 2 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 137777360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uheff. Give prob of sequence fhf.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 52808 divided by 210\nAnswer: 3772\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 246, 1083, 2478, 4431, 6942?\nAnswer: 10011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(19)*1 + sqrt(114)\/(sqrt(18)\/sqrt(3)) + -4)**2*-6.\nAnswer: -552 + 96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f - 2*f**2 + 2*f**3 - f**3 + 3*f**3 + f**3. Suppose -2*h + 5*h = 5*b + 13, b = 3*h - 5. Let w = 1 + b. Give q(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lleddlldddldd. What is prob of picking 3 d and 1 e?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-30)\/9*(4 + -1117)?\nAnswer: 2, 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110*(-435)\/(-7656)*4?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d + 0*d - 2*d + 7*d + 45. Let z be c(-7). Let j(x) = 3*x**3 - 4*x**2 - 5*x + 15. What is the tens digit of j(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 1\/19 (b) -52\/5 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -67263 and 3.\nAnswer: -201789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62736660 and 4900?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*d**3*n**3 + 4*d**3 - 484*d**2*n**3 + 2490*d*n - 45*d - 2*n**3 wrt d?\nAnswer: -144*d*n**3 + 24*d - 968*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 14*x + 6. Let k(a) = -a**2 + 13*a + 5. Let r(o) = -4*i(o) + 5*k(o). Determine r(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11170.4 - -11170. Which is the third biggest value? (a) 16\/55 (b) k (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.1, 3\/5, 0.0664, -41910?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 987*j = -720*j + 2463*j - 34020 for j.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**31*d**(-3\/2))\/(d**(-9)\/(d*d**(-17))) assuming d is positive.\nAnswer: d**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90050, 90039, 90020, 89993, 89958, 89915, 89864?\nAnswer: 89805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*(-4 + -2*sqrt(1300) + sqrt(1300) + -1 + 4 + 2*sqrt(1300)*-6))**2.\nAnswer: 16640*sqrt(13) + 14060864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x\/(x*x*x**2\/x)*x))\/x*(x**(-3)\/x*x*x)\/x*(x*x**(1\/8))\/(x*x**6))**(-10) assuming x is positive.\nAnswer: x**(275\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -3, -215, 4 in decreasing order.\nAnswer: 4, -3, -12, -215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-12)*16*3\/(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 6*m. Let i(n) = -2*n - 151. Give i(h(a)).\nAnswer: -12*a - 151","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-2))\/(-3)*-4. Suppose -3*f = -2*f + z*h + 8, -h = 4*f + 39. Let r = 5 + f. Put r, -4, 3 in increasing order.\nAnswer: r, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(3564) + sqrt(3564)*1*-5)\/(1*sqrt(256) - sqrt(256) - (sqrt(324) + (-3*sqrt(324) - sqrt(324)) - sqrt(4))).\nAnswer: -9*sqrt(11)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 - (24 + (112 - 74)) - (0 - (6 - 0)).\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 79 - 78. Sort 0.3, 0.04, -0.2, x.\nAnswer: -0.2, 0.04, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11*42\/28*(-79)\/((-2291)\/174)\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 104117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6559 is divided by 79?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - (7 + -4 + 1 + -4)) + -6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1305 - -1926. Solve a*b = 628*b + 35 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 9) to base 3\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -27*d - 9. Let s be n(-2). Let l be (s\/(-10) - -4)*0. Suppose l = -6*h + 4*h - 20. What is h rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 3 + 0)*(216*q**2 - 56*q**2 + 12*q**2) in the form j*q**2 + c*q + v and give j.\nAnswer: -860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 6*x**4 + 111971506*x**3 + 696534366877446*x**2 + 1444296592050179482566*x + 962864085129323108476 = 0.\nAnswer: -6220639, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 39724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (sqrt(3) - (0 + sqrt(3))) + 1 + (sqrt(3) + 0)*5)**2.\nAnswer: 12*sqrt(3) + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1179.\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3106*v**2 + 3997*v - 13331*v + 3108*v**2 - 9463 wrt v.\nAnswer: 4*v - 9334","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -8172, -300, -6, -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**2\/2 + 3*h + 4 = 0. Calculate h.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 8:30 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*l + 12 = 0. Let r be -1 - (2\/2 + -4). Let c = -210 + 209. Sort c, l, r in decreasing order.\nAnswer: l, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37926 + -18898. Is 14 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 397280647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 + 93 = 9*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (17 - 3)\/((-21)\/(-189)) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - m + 4 = 0. What is the second derivative of r + 2*r**2 - 3*r**m + 2*r**4 - 2*r**2 wrt r?\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3000)\/(-1 - -4)*-77. Round z to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*j**3*t**3 + 7*j**3*x + 27*j*t**2*x - 2*t**3*x wrt t?\nAnswer: -42*j**3 - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 16 = -4*b + 255, b - 67 = p. Calculate the greatest common factor of b and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 (base 16) in base 14?\nAnswer: -17a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -8, -3, -56 in decreasing order.\nAnswer: -3, -5, -8, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -92\/13? (a) -0.8 (b) 0.03 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/45716 and 79\/114290.\nAnswer: 228580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/10 and 17\/1308236.\nAnswer: 6541180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + 8*p + p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24896305*-9.\nAnswer: 224066745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15294 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 63770489?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 4:06 PM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -380*k + 381*k - 4*n, 26*n - 114 = 14*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k - 1. Let s(m) = 9*m + 8. Give s(o) + 2*t(o).\nAnswer: o + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31*l**4*m**2 + 4*l*m**3 - 298*m**3 with respect to l.\nAnswer: 124*l**3*m**2 + 4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) -0.258 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -284*c**3\/3 + c**2\/2 + 34*c - 243. Find the second derivative of f(x) wrt x.\nAnswer: -568","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 m when three letters picked without replacement from {f: 1, w: 3, l: 1, m: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*t**2 + 3 + 6*t**2 + 4*t**2 with respect to t.\nAnswer: 10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21994, 83099, 184948, 327547, 510902, 735019, 999904?\nAnswer: 1305563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 + 0*v - v - 5*v**2)*(v**3 - 3*v**3 + v**3) + (v + 0*v + v)*(4*v**4 - v**4 - 2*v**4) - 15*v**2 + 3*v**5 + 15*v**2 + 10*v**5 - 18*v**5 + 49*v**5.\nAnswer: 48*v**5 + v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(10*6\/45).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*b + 58 = 0, 5*b = 4*f + 3*b - 76. What is the greatest common factor of f and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 4343058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 924 = 4*z, -5*i = -3*i. Let w = z - -232. Solve 4*p - w = -17 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 335 = 111*j, 48*n - 44*n - 1 = -3*j for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 6*h**2 - 4*h - 4. Calculate the lowest common multiple of x(-6) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -98, -189, -278, -365, -450, -533?\n\"Answer: l**2 - 94*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4611439267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.042 and -111.\nAnswer: -110.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 11*h - 38. What is the hundreds digit of i(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 386819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a century in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 16259969+-3.1\nAnswer: 16259965.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*k**2 - 106*k**2 + 204*k**2.\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 51602*w + 4. Let m be a(-2). Let x be (m\/(-9))\/(8\/300). Round x to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 4:46 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -p**4\/4 - 10*p**3\/3 - 6*p**2 - 12*p - 3. Let d = 138 + -95. Calculate the remainder when d is divided by o(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + -2)\/((-4)\/16). Let l be (-198)\/(-72) + (-1)\/o. Suppose -2*y + 5*c = -6*y + 75, -l*y + c + 42 = 0. Is 4 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3 + 0 + 2*u - u. Suppose 0 = -3*g + 4*g + 2*m + 2, -2*m = 4*g - 16. Suppose -g*d = -2*d + 20. Give i(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = 7*a - 122. Let h(i) = 2. Let s(z) = -z + 2. Determine a*h(w) - 6*s(w).\nAnswer: 6*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 22\/209 + 262\/38. Suppose -5*n + 317 = 4*b, 0 = -3*n + 8 + l. Is 8 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 351.77 + -354. Let x = -2.2067 - y. What is x rounded to 3 dps?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.97585 - -56.33685. Round y to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + sqrt(99) + -2*sqrt(99)) - (-4 + (sqrt(11) - sqrt(275)*2)*-5).\nAnswer: -30*sqrt(11) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*(4 + (-12)\/5). Suppose -5*i = -5*d - 30, 4 = -2*d - i - 14. Is z greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 131045 - 131045.093109. Round o to 3 decimal places.\nAnswer: -0.093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 37 = -3*x + x, 5*x - 20 = 0. Let y = 57 - v. Suppose -175*w = -178*w + y. Solve w*q = 6 - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**1\/n)\/n)**(3\/20)\/(n**(-23)\/n)**(-3\/10))**(12\/5) assuming n is positive.\nAnswer: n**(-441\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 + -20. Suppose 0 = -4*w + n*w - 84. Calculate the remainder when 83 is divided by w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4429 is divided by 143.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -24729000 to the nearest 1000000.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 82498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 80736 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9725101, -9725127, -9725153, -9725179, -9725205?\n\"Answer: -26*l - 9725075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*s**3\/7 + 2942*s**2\/7 - 61908*s + 24696 = 0. What is s?\nAnswer: 2\/5, 294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/7 (b) -5\/6 (c) 113\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 11*x + 20. Let h(p) = 10*p - 16. Let u(o) = 2*o - 3. Calculate x*h(a) + 11*u(a).\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) -4\/3 (c) -3\/5 (d) 2498\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18402 + -18402.0009057. What is o rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1411, 1409, 1407, 1405?\nAnswer: 1403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/3*v**3 - 920\/3*v - 215\/3*v**2 - 940\/3.\nAnswer: 5*(v - 47)*(v + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -857 - -3?\nAnswer: -854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (11 - (16 - 3) - -10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 508195 + -336228. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 11:21 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -160.2 to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 - (-133 + 141 - (-1 + 2 + -7) - 23)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -4*c - 3, -3*t + 4*c = -114 + 113 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}