diff --git "a/data/dm_maths/full_data_1/2190_11255.jsonl" "b/data/dm_maths/full_data_1/2190_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2190_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let i(l) be the third derivative of 3\/20*l**5 + 0*l**3 + 0*l + 0 + 17*l**2 - 5\/8*l**4. Find the second derivative of i(o) wrt o.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 - -55. Let t be ((-3)\/(-4))\/(3\/12). Suppose -h = -0*c - t*c. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(972) + -5)**2.\nAnswer: -180*sqrt(3) + 997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -126 - -37. Let j = 197 + s. Let z = 108.00049 - j. What is z rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u - 4*u - 5*u)*((2*u - 2*u - u)*(-1 - 3 + 2) + 3*u - 6*u + 0*u - 15 - u + 15).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -0.3 (b) -2\/9 (c) -2 (d) -7834\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a microgram in nanograms?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, b: 3, j: 4, n: 1, z: 3, q: 5}. Give prob of picking 1 n and 2 z.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -245120404 (base 6) to base 8.\nAnswer: -22010124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 285460446 to the power of 1\/4, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 6*o + 93. Let n = o - -31. Determine g, given that n - 2\/5*g**2 - 4\/5*g = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -481 - -210. Let m = -182 - f. Let o = m - 90. Which is bigger: o or -26?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) 8 (b) -0.2 (c) 0.2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - (0 - -2))\/(-2). Let g(t) = -4 - 687087*t + y - 112912*t. Let i be g(3). What is i rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 59778.477us?\nAnswer: 0.0000166051325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5403.\nAnswer: 3, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**5\/6 - 170*h**4 + 130438*h**3\/3 - 136531*h**2\/3 - 20732079*h\/2 - 30830639\/3 = 0.\nAnswer: -14, -1, 17, 509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -70*g**2*q - 1886920*g**2 + 1105*g*q wrt q?\nAnswer: -70*g**2 + 1105*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4.1, -0.3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((37 + -1)\/(-3))\/1. Let b be (6\/(-12))\/(2\/s). Suppose -i = -b*v - 26, 0 = 3*i - 3*v + 1 - 79. Calculate the lowest common multiple of 10 and i.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/435)\/(10 + (-3)\/78 + (-12002)\/1105)\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 119 + -69. Suppose -14*u = -k + 8. Solve -u*c = 3*o + 15, 2 = -o - 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 6\/7, 22?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -6 + -5 - 4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 51.6654082 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -22, -2, -1.5, 0.3, 2\/7, -0.1632?\nAnswer: -0.1632","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21034*k = 21031*k - 4*o + 48, -5*k + 4*o - 80 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -314525, -314538, -314551?\n\"Answer: -13*o - 314512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 2880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -85*b**3 + 1 + 85*b**3 - 11*b**2 + 201*b**6 - 193*b**6 wrt b?\nAnswer: 960*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 110.04594 months?\nAnswer: 0.09170495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1534 (base 6) in base 7?\nAnswer: 1135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5946 divided by 5946.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2168 and 7859.\nAnswer: 62872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9f8 - -a01?\nAnswer: 13f9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5691 = -4*s - 0*s, -3*s + 4*z = -4265. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 13. Let j be 40*c\/(15\/(-6)). Solve 4*w + j = 5*t, -21 = -5*w - 0*t - 4*t for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 9*f**2 + 13*f + 15. Let u be a(7). Let h be (0\/(-1))\/(u\/(0 + 8)). Factor 2\/7*p**2 + 10\/7*p + h.\nAnswer: 2*p*(p + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -40. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 29 = 4*p + 5*m, 4*m = -5*p + 98. Suppose -4*z + 86 = 5*n, n + 2*z - p = -0*z. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -0.11.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**2 - 3*p**2 - 5*p**2 + 5*p**2.\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -595*d**4 + 8*d**3 - 9*d**2 + 30*d + 3530.\nAnswer: -7140*d**2 + 48*d - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16446.017 - -16155.9. Let z = y - -290. What is z rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57713 or 57705?\nAnswer: 57705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-36))\/(((-14)\/231)\/(-2))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 - -bac43?\nAnswer: bac49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*o. Suppose j - 3*j = o. Solve -4*w - 7 + 3 = j, -3*w + 7 = 2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -6*i**3 + 2*i**2 + 2*i - 2. What is the tens digit of d(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0953 - -39.0953. Put -2\/3, -2, c in decreasing order.\nAnswer: c, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 7 (b) 1\/4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 9*u**2 - 5. Let n(j) = 2*j**3 - 22*j**2 - 12. Suppose 0 = -5*q + 20 + 5. Let p(t) = q*n(t) - 12*y(t). Factor p(h).\nAnswer: -2*h**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28513, 28509, 28483, 28423, 28317?\nAnswer: 28153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -24*n + 8. Let h be o(-7). Let j be 2\/(-1 + 3\/2). Suppose d = 5*u - d - h, j*d + 100 = 3*u. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yvssyyyvvyyy. What is prob of sequence vy?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**3 + 23*k**3 + 0*k**3 - 16*k**3.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 3699808?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: -102243234 (base 5) to base 13\nAnswer: -121292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 6*u + 3. Let c be g(6). Let t be (-2)\/10 + (-15 - 24895\/(-1600)). Let r = t - 217\/960. What is the fourth smallest value in r, 1, c, -5\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1 - (-267)\/12 - -2 and -1 + -2 - (-519)\/54?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 771*k - 59374. What is y(77)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -76.5290155439 and 0.2.\nAnswer: -76.3290155439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 12488499.\nAnswer: 5\/12488499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, t: 3, h: 3}. What is prob of picking 3 v?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.07 (b) -0.1 (c) -3 (d) 9.3 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -138.776 - -139. Let r = q + 0.776. What is the closest to -2\/7 in 5, r, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u + 15. Let w be y(-13). Let o = w + 12. What is the greatest common divisor of o and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 5. Suppose -4*c + 35 = -u*c. Let o = c + 51. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52 - 51 + 136)*(-1 + 4 - 1)*(41*j - 16 - 20 + 36).\nAnswer: 11234*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.39 and -37.\nAnswer: -38.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 379.9, -0.004, -6, -2\/3, 6 in increasing order.\nAnswer: -6, -2\/3, -0.004, 6, 379.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 49*p**3 + 7*p**3 + 21*p**3 + p**3 - 41 + 41 + (7*p - 4*p - 2*p)*(5*p**2 - 3*p**2 - p**2).\nAnswer: 79*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 130\/(-14)*1*-1. Let k = 281\/28 - f. Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2431)\/429)\/(-1 + 2\/3). Suppose 2*s + 5*m + 11 = 0, -m = 2*s + 2*m + 1. Let y = s - -78. Calculate the greatest common divisor of y and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -1659*i + 122743. Calculate u(74).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 100403 to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/3 in 15, 276, 2, 2\/13, 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1075689518, 2151379036, 3227068554?\nAnswer: 4302758072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4432 - 4352.53. Let j = o - 80. Let d = j - -2.53. Put d, -3, -2 in descending order.\nAnswer: d, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 + 3*o + 3. List the prime factors of z(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 - -25. Suppose 245*p + 44 = 4*f + 241*p, -2*p = -10. Calculate the least common multiple of v and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*-3*(-7 + (-271)\/(-39)). What is the third smallest value in w, -0.1, -22?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 335332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m - 2*m - 3*m - 3. Suppose 15 = 2*d + 3*z, 0 = 2*z - 3 - 3. Suppose 0*q - q + 11 = 4*n, 5*q = d*n - 37. Determine v(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 4*i = 5, -r - 5*i = -6*i - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 4*v + 51, -33 = -3*i + 2*v + v. What is the least common multiple of 10 and i?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*o - 26*o + 13*o + 6)*(-6 + 1 + 2).\nAnswer: -6*o - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61*b**5 - 2640*b**4 + 357514*b wrt b.\nAnswer: 1220*b**3 - 31680*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 133320 (base 5) in base 15?\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 1 + 470 + -473.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/12661 - -1278729\/202576. Calculate the common denominator of z and 101\/24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1199\/12810 - 1\/610. Let m = 19847 - 19850. Are m and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(64\/(-20))*1\/(-8). Which is greater: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19977 - -32391. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5520 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 2957315.\nAnswer: 35487780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 8*t**2. Let r(p) = 2*p**2 + 4. Let d be r(2). Let i(h) = -8 + 20 - 4*h**2 - d. Calculate i(g(n)).\nAnswer: -256*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 9:14 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 121\/2841 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(6 - 8)\/(1*2). Solve 5*p + 8 = -2*i - 20, l*p + i + 16 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 56, -4, -2, 3, 16 in decreasing order.\nAnswer: 56, 16, 3, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 886, -5381, -1 in descending order.\nAnswer: 886, 2, -1, -5381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 9, 2, 1697 in descending order.\nAnswer: 1697, 9, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*(-1)\/(-21)*1358\/(-12804).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and 10.19?\nAnswer: 9.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 6*((sqrt(88) - (((sqrt(88) - sqrt(88)*1) + sqrt(88) + sqrt(88))*-6 - sqrt(88))) + 1*sqrt(88)*-3)\/(sqrt(24)\/(sqrt(576)\/sqrt(12))).\nAnswer: -5 + 264*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 3*p - 36, 150*a - 147*a = -5*p + 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, w: 2}. What is prob of sequence aww?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a day in minutes?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -1 + -9 + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 48320364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvv when three letters picked without replacement from dvvddwvwvqddwd.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002243035 to seven decimal places.\nAnswer: 0.0000224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 13*b**2 + b - 13. Let d(y) = 3*y**2 - 3. Suppose -2*x = -x - 9. Suppose 5*h + 28 = 18. Determine h*o(z) + x*d(z).\nAnswer: z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -3. What is the third derivative of 2*g**2 - 3*g**3 + 4*g**3 - 5*g**f + g**3 wrt g?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/56 and -20\/231.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7 - (6 - -12)\/(-6). Let x(g) = 6*g + 6. Determine x(y).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4512 by -3.\nAnswer: -1504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.16 and -0.06129950002849?\nAnswer: 0.22129950002849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11316994*y**3 + 22759239*y - 1?\nAnswer: 67901964*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4385 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -5*y**2 + 2*y + 5. Let p(x) = -6*x**2 + 3*x + 6. Let h(d) = -d**3 + d**2 - 2. Let v be h(0). Give v*p(j) + 3*r(j).\nAnswer: -3*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 772*x + 3*n = 773*x + 8, -x - 2*n = 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1728 and 103890624.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7875023 + -0.21.\nAnswer: -0.9975023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 1\/38, -5, 400?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/5 (b) -244 (c) -15 (d) -2\/3 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*j**3*q**3 - 30*j**3*q**2 + j**3*q - 15*j**2*q - 7*j*q - 10*q**3 + 16 wrt q?\nAnswer: -120*j**3*q - 60*j**3 - 60*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/39, -5, 0.07 in descending order.\nAnswer: 5, 0.07, -2\/39, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -144939566616 and -0.018.\nAnswer: -144939566616.018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 643495568 a multiple of 1107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 2*c + 16, 0 = c + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -120 - -123. Let g = -18 - -36. Suppose 3*h = 15 + g. Solve 4*m + h = c for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/13 (b) -41 (c) 0.2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11126 is divided by 359?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 1056, 175.\nAnswer: -1, 4, 175, 1056","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72.565 - -0.635. Let k = -73 + x. Let l(r) = r**2 + 5*r - 5. Let j be l(-6). What is the nearest to -2\/7 in j, k, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -91 - -88.93. Let w = 0.93 - i. What is the nearest to 2 in 12, w, 3\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b - 5. Let u be q(7). Suppose -u = 3*s - 2*t + 8, 2*s + 5 = t. Suppose 1 + s = p. What is the closest to p in -1, -2, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.453079 to 2 dps.\nAnswer: 41.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78)\/4004*56\/72.\nAnswer: -1\/66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, u: 14}. Give prob of sequence qqqq.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -9208.28 and 0.06.\nAnswer: -9208.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 11842.89?\nAnswer: -2368.578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*b - 79, 5*j - 88 + 10 = -2*b. What is the remainder when b is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23698 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 978, 479, -1482, -4905, -9790, -16137, -23946?\nAnswer: -33217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/5*1*-3. Let b = -265 + 264.9. What is the nearest to q in 0.5, 0.6, b?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-23)\/5 - (-72)\/18. Let h = 0.8 + 0.2. Let t(o) = -o + 12. Let k be t(8). Which is the smallest value? (a) h (b) k (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(1\/2)))**12 assuming b is positive.\nAnswer: b**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3*s = -1 + 10, -2*s = -l + 7. Suppose 0 = n - 0*p + l*p - 12, -18 = -2*n - 4*p. Factor c**3 - 2*c**2 - 3 + c + n.\nAnswer: c*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -87 + 188. Suppose 4*k - 3*q = 376, -q + 61 + 33 = k. What is the remainder when g is divided by 47\/k + (-130)\/(-4) + 1?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u + 6*u**5 + 0*u + (u**2 + 2*u**2 - u**2)*(13*u**3 - 9*u**3 + 22*u**3) + (3*u**3 + u**3 - 3*u**3)*((-1 + u + 1)*(u - 1 + 1) - 2*u**2 + 4*u - 4*u).\nAnswer: 57*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61180 or -631?\nAnswer: -631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1180 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 5*h - 40 = 0, 7 = 5*z + h - 33. Suppose 3*q - s = -0*q - 24, q + 2*s + z = 0. Let t = q - -9. Is 2\/19 smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*w + 6*w = -351, -5*w = -2*l + 687. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1136859778 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2975068.\nAnswer: 2, 17, 67, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2102422 to the power of 1\/3, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 4:34 PM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*y + 14. Let g(b) be the second derivative of 0*b**y + 2\/5*b**5 + 0 + b**3 - 9*b + 0*b**4. Find the second derivative of g(m) wrt m.\nAnswer: 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 1248*b + 419308. Determine q(-336).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mdmqnicnc. What is prob of sequence dc?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 2 + 0)*(-8 - 3 - 11)*(-2*q - 1 + 4 - 6) to u + p*q and give p.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 259 divide 128749436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 385 and 398 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -77703825025 + 2?\nAnswer: -77703825023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.07 - -8.93. Let f = 39 + -29.5. Let z = f - v. Which is the smallest value? (a) 3\/5 (b) -0.4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2337*o**3 + 5351*o**2 wrt o.\nAnswer: 14022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 890.1754ng in tonnes?\nAnswer: 0.0000000000008901754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30.768 + 26.768. Which is the closest to -2.9? (a) -5 (b) -0.1 (c) l (d) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m**2 + 3*m + 3. Let u = 13 + -22. Let r = -11 - u. Calculate the remainder when 26 is divided by k(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 315551403 a multiple of 767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13064540 (base 8) to base 12.\nAnswer: b84428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 61723.41 days in seconds?\nAnswer: 5332902624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/49 and -65\/254246258.\nAnswer: 1779723806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4, 17, 32, 49, 68?\n\"Answer: v**2 + 10*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 - 49. Let i = -13 - k. Solve -i*z - 1 = 3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 511 or -3866?\nAnswer: 511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -42014 (base 6) to base 11\nAnswer: -4255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(320) + -3*-2*sqrt(320) - (-2 + -2 + sqrt(320)).\nAnswer: 4 + 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -5. Let i be (-15306)\/9 - w\/(-3). What is i rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1056485 = 20*a - 1056385 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/8)\/(55\/110) + (-1)\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 11 - (191 + -201) - 80\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 16, 49, 82, 115, 148?\n\"Answer: 33*l - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-1))\/(-2) - (-28)\/7. Suppose 0 = 4*i + 12, -c*p + 3*i = 5*i - 9. Solve 4*z = q + 20, -5*q - 3 - p = 3*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120*132\/38016 - (-2)\/6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 368 + 8*t + 7*t - 17 + 5*t - 19*t in the form q*t + y and give y.\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 2 - 10. Let o be ((-6)\/(-15))\/(b\/(-30)). Suppose o*c = 2*c + 272000. What is c rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*b - 12 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 9) to base 4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98 - 45 - (15 - 2).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -370169573*o**2 - 78710112.\nAnswer: -740339146*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d**18)**(-37))**(-7\/4))**(-33))**(-2\/17) assuming d is positive.\nAnswer: d**(162393\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8864*y**4 + 6856*y**4 + 6126*y**4 - 1652*y**2 - 4 + 4 wrt y?\nAnswer: 98832*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.2, 8\/57, 0, -0.4, -37 in descending order.\nAnswer: 3, 0.2, 8\/57, 0, -0.4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 4:36 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 502 + -498. Suppose -v + 10 = -3*f, 3*f = -3*v - 2 - c. Sort 14, f, -4, 2 in decreasing order.\nAnswer: 14, 2, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 17*w = -12*w + 482, -w + 5 = 0. What are the prime factors of k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 27*i**2. Let t(n) = 55*n - 2221. Determine t(z(a)).\nAnswer: 1485*a**2 - 2221","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 4.6. Let k = s + -0.9. Let w = -15 - -16. Sort w, k, 2.\nAnswer: k, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395189 is divided by 4249.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3570 divided by -14\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 35982079 or 35982084?\nAnswer: 35982084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 15*t**2 + 23*t - 107. Let w be d(14). Let c(s) = -3 + 57 + 5*s - 2*s. What is the tens digit of c(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 3. Let m be 2\/(-6) + 19\/3. Suppose -m*k + 2*k = -36. What is the lowest common multiple of f and k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-3)*n**(-10\/7))**26 assuming n is positive.\nAnswer: n**(-624\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96930642, -193861289, -290791926, -387722547, -484653146, -581583717?\nAnswer: -678514254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -17\/40*s**6 + 26*s**2 - 1\/112*s**8 - 3\/4*s**4 + 0*s + 1 + 17\/20*s**5 + 1\/10*s**7 + 0*s**3. Find d such that n(d) = 0.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**3 - 3*b**2 + 11*b - 8. Calculate d(3).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0504 rounded to 3 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 737, 735, 731, 725, 717?\n\"Answer: -j**2 + j + 737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 334932260737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(96\/286461))\/(-6). Let z = 1990 + j. What is the common denominator of 11\/4 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 6:37 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -27701793 smaller than -27701797?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2\/10)\/(22\/(-365)) and 67\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59678, -119378, -179080, -238784?\nAnswer: -298490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 2*n - 151076, 22850 = 2*b + 2*n - 52682. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/50297760 and -85\/144?\nAnswer: 50297760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36771*t**2 - 29*t + 15*t**3 + 36771*t**2 to the form p*t**2 + o*t**3 + r*t + g and give r.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - -a4b338b?\nAnswer: a4b3394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1038 and 738?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55 - 27. Suppose -2*i + 158 = 2*k, i + 99 = 2*i - 4*k. Calculate the remainder when i is divided by y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 578 + 4*h - 4*h + 3*h**2.\nAnswer: 3*h**2 + 578","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77368?\nAnswer: 2, 19, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-9) + (9 - (-3992)\/72). Suppose -4*o + 166 = -4*c - 26, 0 = -5*c + 3*o - 244. Let n = s + c. Calculate the remainder when 97 is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.52 - -0.12. Let f = -1 + 6. Which is the nearest to 2? (a) f (b) q (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3492 + -3490. Put h, -2, -6\/61 in ascending order.\nAnswer: -2, -6\/61, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.021 + 12.021. Let d = 1.9 - x. Round d to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/558 and (295\/60)\/(100\/(-60))?\nAnswer: 5580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -160*g**3*t**3 + 2*g**3*t - 94*g**3 + 34*g*t**3 + g*t**2 - 12*g*t + t wrt t?\nAnswer: -960*g**3*t + 204*g*t + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*v**2 + 183*v**2 + 1 - 9 + 488*v**3 - 24510*v**3.\nAnswer: -24022*v**3 - 3*v**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l + 3. Let p(u) = -19*u - 11. Let q(y) = 6*p(y) + 22*v(y). Let d(h) be the third derivative of -3*h**5\/10 + 72*h**2 - 1. What is q(d(t))?\nAnswer: 72*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1594, 6384, 14376, 25576, 39990, 57624, 78484?\nAnswer: 102576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 41\/4 - 13\/52. Let c be 1\/(4\/t)*-6. Let g = c + 70. Calculate the remainder when g is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2214370349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u. Let b = 2 - 8. Let f(s) = -4*s. What is b*f(c) - 5*g(c)?\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 15e8 + -16?\nAnswer: 15d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 33.5 from 17.64601372141.\nAnswer: -15.85398627859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19046 or 19063?\nAnswer: 19046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 246?\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -285*j + 5723. What is the ten thousands digit of o(-100)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1118*548440.\nAnswer: -613155920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**4 + 11*c**4 - 79 - c**3 + 85 + (-6*c - 4*c + 4*c)*(-c**3 - 2*c**3 + c**3).\nAnswer: 23*c**4 - c**3 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**2)**(10\/3)*(c*c*c\/(c*(c**(2\/9)\/c)\/c))**(2\/11))**(19\/2) assuming c is positive.\nAnswer: c**(6916\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g. Let p(w) = 3*w - 52744581. Calculate p(t(u)).\nAnswer: -6*u - 52744581","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - 820107*j - 17221810. Give m(-21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1*sqrt(275))**2.\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**7\/14 + 3*i**5\/5 - i**4\/2 - 3*i**3\/2 + 3*i**2 + i. Factor t(o).\nAnswer: -3*(o - 1)**3*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3720662887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 302024 and 7948?\nAnswer: 302024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/21)\/(10*1\/30).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n**2 + 6*n**2 + 2*n**2)*(-2*n**2 + 2*n**2 + 2*n**2).\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 26 = 3*t, -2*k + 3*t = 1 + 1. List the prime factors of ((-12)\/(-9))\/(-4)*2793\/k.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - (-1 - 4)) + 111. Suppose 115*i - b*i + 1279 = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gzaz when four letters picked without replacement from zaagagraz.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -235\/4 (b) 0.2 (c) 4\/7 (d) 0.09 (e) -116\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*s**2 + 11*s**2 - s**4)*(5*s + 0*s - 3*s) - 6*s**5 - 3*s**5 + 4*s**5.\nAnswer: -7*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -19*s + 12. Let d be 219 + -3 - (-5)\/s. Is d at least as big as 220?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -a29?\nAnswer: -a2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**3\/4 + 2701059*a**2 - 10804233*a\/4 = 0. Calculate a.\nAnswer: 0, 1, 3601411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d + 2*d - 5*y + 2, 4*y = -2*d + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*sqrt(76)*4)\/(5*-2*sqrt(324)).\nAnswer: -2*sqrt(19)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 1. Suppose 4*m - 17 = -3*q, v*q - 2*m - 26 + 10 = 0. Suppose 3*w - 18 = 5*p + 8, -5*w + 30 = -5*p. Solve q = -w*z - 3 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 - 44.2. Let y = 0 - q. Round y to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 8*x - 1 - 6 - 7*x. Let z be k(10). Let w(s) = -5*s**2 - 6*s + 2. Let u(d) = -4*d**2 - 5*d + 1. Calculate z*w(h) - 4*u(h).\nAnswer: h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*t = -20. Suppose -y = -4*p - p - 13, t*p = -5*y + 7. Suppose 27 = y*k + 4*d, -2*d = 3*k - 8*k + 19. Does 5 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1448 divide 1524846808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of a**6\/90 - a**5\/15 + 5*a**4\/36 - a**3\/9 + 2*a - 4. Let f(y) be the first derivative of s(y). Factor f(c).\nAnswer: c*(c - 2)*(c - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-18)*138)\/((-7)\/(42\/4))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, z: 1, s: 1, n: 1}. What is prob of picking 1 n, 1 u, and 1 s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from acgzddaxx. What is prob of sequence ad?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of 1\/2*j**2 - 1 - 1\/4*j**4 + 37*j + 1\/3*j**3. Calculate a(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**2 + 6*b + 9. Let h(n) = 4*n**2 + 6*n + 11. Let g(o) = -4*h(o) + 5*i(o). Calculate g(9).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or 11819?\nAnswer: 11819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, -225, 844?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-7)*(-1)\/(-4)*(-3024)\/(-567).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 672 or -0.29?\nAnswer: 672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 69? (a) 13 (b) -0.2 (c) -497 (d) 0.033\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/66*(-65)\/(130\/9)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 27 = 5*w, 0 = -4*w + w + 2*a + 19. Suppose 2*x + 607 = w*i, -6*i = -4*i - 5*x - 226. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-5)*25\/(-40). Let l = 0.3 - -0.1. Which is the closest to z? (a) 0.5 (b) l (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, q: 2, f: 1, d: 7, v: 3}. Give prob of picking 1 v and 2 d.\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4*t - 20 = 0, m - 4*t = -0*m - 14. Suppose m*n = 5*p + 17, -17 = -0*n - 3*n - p. Solve 2*a = -0*a + n for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74 - 517\/7. Let a = -0.2 - -0.1. Is i bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6, 28, 108, 234, 406, 624, 888?\n\"Answer: 23*g**2 - 35*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of j**4\/6 + j**3\/3 + 2*j**2 + 17. Let k(w) = -w**2 + 8 - 8. What is h(k(r))?\nAnswer: -4*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 8*a + 3. Let j be k(-7). Let y be ((-12)\/(-15))\/(4\/j). Which is bigger: 4 or y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33 + 29. Let t = -192 - -148. Let n be 14\/t - (230\/55 - 4). Which is bigger: n or q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -399534 smaller than -400718?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*n - 3*n - 4*i - 93, -2*i + 64 = 4*n. Let f = n + 2. List the prime factors of f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - -13) + (1 - -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n - 97. Determine m(0).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18625*a**3 - 8357*a**2 wrt a.\nAnswer: -111750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in 0.4, 0.12, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5137, -5135, -5133, -5131, -5129?\n\"Answer: 2*h - 5139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 2, 0.2, 1, -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 - (-63 - -74) - 20?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*l = 10, 0 = 4*v - 2*v + 2*l + 4. Let t(d) = d + 3. Let p be t(-4). Is p\/(-2) + (-39)\/v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 3 = 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1737657 by 1.\nAnswer: -1737657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -113441302 + 4?\nAnswer: -113441243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 51, 37, 23, 9, -5, -19?\n\"Answer: -14*q + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13.6 + 8.6. Let h be ((-1)\/(-6))\/(1\/4). What is the nearest to 0.2 in 5, h, z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/5)\/z*z**(-2\/7)*z)**(-20)*(z**(-1)*z*(z**4*z)\/z)**(3\/11) assuming z is positive.\nAnswer: z**(1140\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 10 = -2*l. Suppose -i + l = -0*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(2\/7))**(-9\/4))**(-46) assuming c is positive.\nAnswer: c**(1863\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.8 - 2.2. Let z = g - -9. Let t = z - -3.9. What is t rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26805371 or 26805373?\nAnswer: 26805371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**2 + 51*y + 35. Let r be d(26). Solve -2*v = -10, r = -o + 4*v - 9 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 509686406 divided by 6\nAnswer: 254843203\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20336467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 38.64 in 2\/7, 1\/4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2. Let j(w) = -30*w**2 + 11*w + 10. Let i(x) = 15*x**2 - 6*x - 6. Let h(u) = 10*i(u) + 6*j(u). Give h(q(o)).\nAnswer: -120*o**4 - 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 23 = -5*y, -35 = -5*z + y + 4*y. Suppose -3*u = z*u + 10. Let j(g) = 19*g**2 + 5*g + 2. Is 17 a factor of j(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, u: 1, g: 1, m: 1, h: 1}. What is prob of sequence huk?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = h - 3*a, 0*a = -4*h - 3*a + 24. Let d be 82\/h + (-4)\/6. Suppose -3*t + 67 = d. What is the remainder when 53 is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.7 (b) 0.1 (c) 11 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -4, -559, 1\/23, 3, 4 in ascending order.\nAnswer: -559, -4, 1\/23, 0.4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 10*l**4 + 10575*l**3 + 26360*l**2 - 15825*l = 0.\nAnswer: -1055, -3, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 64\/7, -4, 1\/4?\nAnswer: 64\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 46 = -2*h, 0 = -0*s + s + 5*h - 11. Let u(y) = 8*y**3 + 1. Calculate the remainder when s is divided by u(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 10*w**3 + 15*w**2 - 23*w - 14. Let o(r) = -7*r**3 - 10*r**2 + 15*r + 9. Let z(x) = -7*o(x) - 5*t(x). Determine z(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15420 divided by -19?\nAnswer: -15420\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -111666.5915 + 111706.68872129. Let l = 0.09793129 - g. Let w = -40 - l. Round w to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 169757\nAnswer: 4\/169757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-7)*l*l**(4\/3))\/((l**(-10)*l)\/(l*l**(-12))) assuming l is positive.\nAnswer: l**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 5*g**2 - 2*g**2)*(0 + 1 + 0) + 153*g**2 + 132*g**2 + 185*g**2.\nAnswer: 471*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a millisecond in microseconds?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -936 divided by -21\nAnswer: 312\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -0.4, 29, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(1\/3))**(-1\/23)\/(j\/j**(-1\/2)*j**(2\/19)*j))**49 assuming j is positive.\nAnswer: j**(-338443\/2622)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 37, -6.\nAnswer: -6, 21, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86878 divided by 1462.\nAnswer: -43439\/731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 827 is divided by 289?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -109, -124, -139, -154?\n\"Answer: -15*t - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -126, -10, -3?\nAnswer: -126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xqk when three letters picked without replacement from kkkqxqqqkqqkqqkkkqq.\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 7. Let v be k(-5). Suppose -5*i - 5*p + 45 = 0, v*p = -3*i - 0*p + 24. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 82116831 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-8)*2\/(-6). Let l = -63861 - -63864. What is the closest to -1 in 0, z, 5, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0\/(o**(4\/9)*o))\/(o\/(o*o**2)*o)**(-2\/77) assuming o is positive.\nAnswer: o**(-1019\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -137.674 - -137. Let z = 7.04 - 7.7. Let i = z - f. What is i rounded to three dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 36 = -20*a + 2*l - 2*l + l + 4*l, 21*l - 5*l = -128 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 + 1. Let j(n) = 61*n**2 - 5. Let w be (1\/1)\/(2\/(-12)). Let b(v) = w*l(v) + 2*j(v). What is the derivative of b(c) wrt c?\nAnswer: 220*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -121519067 and -2.\nAnswer: -121519069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**4)\/(o**(-1\/2)*o) assuming o is positive.\nAnswer: o**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -70.863 + 70.800286. Let l = -0.06974 - p. What is l rounded to four dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/6 (b) 0.035 (c) -93 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -341080*h + 31 = -341078*h - 3*k, 5*k + 61 = 4*h for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/(4*-1*sqrt(6)).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 1:27 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3938a (base 11) in base 12?\nAnswer: 2874b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 228934 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -259.819 + 260. Round l to 2 decimal places.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 7*m + 10. Calculate the remainder when 29 is divided by h(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*c**3 + 23*c**2 - 3*c + 10*c**2 - 32*c**2 + 5 - 102*c**3 - 4 to the form v*c**3 + w*c**2 + m*c + d and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2992\/66)\/(-34))\/(-1*16\/60).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/12*(-5)\/((-40)\/(-36)). Find b such that -t*b**2 + 0 + 0*b = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8 + 1010\/(-30))\/(13\/3). Let l = 269\/52 + b. Let w = -0.2 - -0.7. What is the second smallest value in l, 1\/5, 6\/11, w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -5*h**2 - h + 1. Let r be d(1). Let k(u) = u**3 + 6*u**2 + 3*u + 1. List the prime factors of k(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*f**4*r + 20014821*f**3*r - f**2*r - 63092240*r wrt f.\nAnswer: 72*f*r + 120088926*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1594 divided by 1901\nAnswer: -1594\/1901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 7 + 3*v**2 + 3*v**2 - 2*v - 5*v**2 + 181*v**3 - 4*v**2. Is s(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*m**3 + m**4 + m + 6*m**3 + 2 + 5*m**4 - m**4 + m**2 as b*m**3 + r*m**2 + o*m**4 + j*m + y and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * 8.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (29 - 2)*(3 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (627 + 2)\/(13\/4). Let j = -26421\/130 + x. Find the common denominator of j and (-27)\/16*(-7 - -1).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = -f - f. Suppose 5*o + 18 + f = 5*w, 4*w - o - 85 = 0. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1566 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 51871.16 rounded to the nearest 100?\nAnswer: 51900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.80938 rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i + 12 + 3*i - 2 + 0. Let l be f(-3). Suppose -w = -3*d - 1523, -3*w = -l*d + 2*d - 4541. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 7*d - 13. Suppose -2*l + l = 5*q - 43, 35 = 4*q + l. Let k(a) = -a**2 + 8*a - 5. Let r be k(q). Let b be j(r). Is b at least as big as -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 - 14. Suppose -12 = 4*k - 36. Let t = k + 0. What is the remainder when q is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 597 = -3*q - 2*k, 398 = 2*q - 3*k. Let x = -99 + q. Calculate the highest common divisor of x and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -31*x - 42. Let z be a(-12). What are the prime factors of (4 + 2)\/(12\/z)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 28*v - 35. Let l = 129 + -149. What is the remainder when a(l) is divided by 43?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 2:33 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -558 + 3268?\nAnswer: 2610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 6*l**2 - 1. Let r be b(-6). Let p = -1 + 2. Let k = p + r. Solve -3*v + k*v - 6 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/((-16)\/((-576)\/54)). Solve 2*v + 3*f = -2*v + 11, -5*v - p*f + 15 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 10*g**2 - 9*g + 7. Let r be a(9). Suppose -j + r + 3 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4922\/(-690) + (9800\/375 - 26)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 v, and 2 y when four letters picked without replacement from {y: 2, z: 3, f: 2, v: 8, h: 2}?\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 2:55 PM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7320813.\nAnswer: 3, 2440271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 452 is divided by 93?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -179 - -182. Solve -2*g = 4*w + 6, o*g - 14*w - 11 = -10*w for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291232 is divided by 265?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 1569216?\nAnswer: 1569216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 6 + -11 + 14.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*g**2 - g**4 - 7*g**2 - g + g**2 in the form m*g**4 + j*g + n*g**2 + r*g**3 + t and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 5 - (0 + -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4042, -7901, -11760, -15619?\nAnswer: -19478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 439 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1367000 rounded to the nearest ten thousand?\nAnswer: 1370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 436572.7 litres to millilitres.\nAnswer: 436572700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 837 and 43361.\nAnswer: 36293157","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mms. Give prob of picking 2 m.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12447101, -12447108, -12447101, -12447074, -12447021, -12446936, -12446813?\nAnswer: -12446646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - f - 5*f)*(0 + 0 - 7)*(176 - 43 + 36).\nAnswer: 2366*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.130057 * -7.8.\nAnswer: -16.6144446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 498.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1160017 (base 9) in base 6?\nAnswer: -21300024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 69724450?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1116900 or 1116904?\nAnswer: 1116900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 657832459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6801 - 10849 = -44*b. Calculate the remainder when 487 is divided by b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of r**4\/24 + 11*r**3\/6 - 3*r**2. Let b be v(-7). What is the remainder when 17 is divided by (40\/15)\/(b\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63072?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 652*a - 1272*a + 622*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.346743 - 97891.\nAnswer: -97891.346743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 9 + 3)*(6*k - 50 - 3*k - 8*k) + 0*k - 4*k - 2*k.\nAnswer: -66*k - 600","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*13402.79.\nAnswer: 6701.395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1692, 1815, 2020, 2307, 2676, 3127?\n\"Answer: 41*j**2 + 1651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 0*q + 0*q)*(889 - 889 - 75*q).\nAnswer: -75*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 246\/(-190) - (-8 + (-1232)\/(-152)).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1316 and 1414.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 0, 3*n + 2*p = 4*n - 35. Let t = n + 20. Calculate the greatest common factor of 22 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 4:15 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -83771\/2 - -754015\/18. Factor -v - 14\/3*c**2 + 2\/9*c**3 + 26\/3*c.\nAnswer: 2*(c - 19)*(c - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a year in months?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 144453 (base 6) to base 3\nAnswer: 201012120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 50*h**3*r + 54265*h**3 - 140*h*r - 1 wrt r.\nAnswer: 50*h**3 - 140*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -25 * -291530\nAnswer: 7288250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**4 - 21*p**3 - 123*p**2 - 99*p.\nAnswer: 3*p*(p - 11)*(p + 1)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n + 18. Let k be r(-3). Suppose 0*j = j - 3. Find the second derivative of k*f**5 + 3*f + 2*f + j*f + 5*f**5 wrt f.\nAnswer: 160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39 * -13069.5\nAnswer: 509710.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-2 + sqrt(320) + -3 + -3)*1)**2.\nAnswer: -512*sqrt(5) + 1536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -317872 and -469.\nAnswer: 149081968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 341\/(-66) + 5 + (-2)\/((-24)\/758). Let g(o) = 10*o**2 + o - 3. Let u be g(5). Calculate the highest common divisor of f and u.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63530 + 17458 = -1588*s for s.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 - 25. Suppose c = -3*d + 1, -3*d + 5*c + 28 = -3. Let b(f) = -1 + 6 - 2*f + f**d - 4. What is b(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 968560 divided by -20\nAnswer: -48428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**2. Let z(j) = j. Let d(r) = -r. Let f = 0 - -1. Let m = -3 + 5. Let b(a) = f*d(a) + m*z(a). Give n(b(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7 - 14 - 6 - -59. Calculate the highest common divisor of 2967 and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.391 * -1288.5.\nAnswer: -503.8035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l**2. Let a(s) = -257*s. What is m(a(d))?\nAnswer: 198147*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14385585667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 199 - 605 + 196 + 210 + 4012*y**2 to the form x + r*y + i*y**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 28884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 48*u**2 + 48*u + 27. Let h(x) = 7*x**2 + 7*x + 4. What is 27*h(b) - 4*m(b)?\nAnswer: -3*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 6.3, 1, 0.9, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 60, 239, 546, 987, 1568, 2295?\n\"Answer: l**3 + 58*l**2 - 2*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10436015 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(495) - (sqrt(495) - sqrt(495)*-1))*-3)\/((sqrt(22) - sqrt(88)\/sqrt(4))\/sqrt(2) + -4*sqrt(11)*-2).\nAnswer: -45*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -25*b*d**2*u + 4040*b*d**2 + b*d*j*u - 23*b*u + 58*d**2*j*u + 153165*d*j*u wrt j.\nAnswer: b*d*u + 58*d**2*u + 153165*d*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -0 + 7. Let g(u) = -1186*u - 9. Is g(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 0.057 (c) -2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -36*j + 4. Let b(q) = -4007*q**2. Give f(b(y)).\nAnswer: 144252*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 69*u**2 - 71*u**2 + 6*u**4 - 8*u**4 + u**3 - 3*u in the form f + x*u**2 + i*u**3 + c*u + r*u**4 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*w. Let r(t) be the second derivative of 1\/3*t**3 + 0*t**2 + w - 4*t. Let z(i) = -3*i. What is r(z(q))?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24429?\nAnswer: 3, 17, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2013*i + 3 + 0 - 1988*i)*(1 - 9 + 1).\nAnswer: -175*i - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-51638)\/(-16) + ((-180)\/(-32) - 6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -86?\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 103, -1.6?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -8\/53, 2\/69 in descending order.\nAnswer: 15, 2\/69, -8\/53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**3\/8 - 8763*l**2\/8 + 26451*l - 159030 = 0. Calculate l.\nAnswer: -2945, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 27540 divided by -6\nAnswer: -4590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*z = 5, -1 - 10 = -3*a - 4*z. Let w(r) = a - 2 + 0. Let l(v) = -2*v + 12. Let i be 4 - (-1)\/(1\/(-3)). What is i*l(c) + 12*w(c)?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86275?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37616?\nAnswer: 2, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m - 32*m = 138 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 222\/9 + (-2)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1980 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 61 * -559.1.\nAnswer: -34105.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -1) + -4 + 2 - -1 - -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1163, 2330, 3499, 4670?\n\"Answer: g**2 + 1164*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 1488968.\nAnswer: 1\/372242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 691 + 671 = 0. Calculate the remainder when 39 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4 (b) -0.3 (c) 9 (d) -0.066\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43451\/7 + -6193. Factor -z - 4\/7*d**2 + 40\/7*d.\nAnswer: -4*(d - 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b**2 + 75. Let k(i) = 10*i**2 + 3*i + 3. Let h(x) = -17*x**2 - 5*x - 5. Let m(g) = -3*h(g) - 5*k(g). Give y(m(q)).\nAnswer: -4*q**4 + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -4397 smaller than -4397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/752 and -11 - (-4 + (-455)\/312).\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25025, 64, -3.\nAnswer: -3, 64, 25025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 337, 609, 881, 1153, 1425, 1697?\n\"Answer: 272*q + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 8500.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 1\/276629?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 1036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181822 is divided by 60606?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1))**(-26)*o**(-4)\/o*(o*o**(2\/3)*o)\/o*o*o\/(o**(2\/17)*o)*(o\/o**(-4))\/o*(o*o**(-2\/7))**7 assuming o is positive.\nAnswer: o**(1660\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/3 or -30721?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7917, 7284, 6655, 6030, 5409?\n\"Answer: 2*t**2 - 639*t + 8554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7618807 - 53308\nAnswer: 7565499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.08 + -0.04. Let w = 0.42 + t. Let q = -3\/49 - 40\/147. What is the nearest to w in -3, q, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4 = 4. Determine k so that -4*k**5 + 0*k**5 - j*k**3 + 6*k**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/6 - 513\/81?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 6:32 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 333, 339, 357, 393, 453, 543?\nAnswer: 669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*l, -2*j + 122 = 10*l - 13*l. Which is the nearest to 0.16? (a) j (b) -5 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*c - 5358 - 2279, -4*c + 15289 = -3*z. Suppose 0 = -10*a + 15*a - c. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -803 + 3988\/5. Let f = -5455\/4 + 1346. What is the common denominator of r and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, 26, 126, 324, 656, 1158, 1866?\nAnswer: 2816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 130 and 494?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1157 divide 334764066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.52 + 28.48. Let q = l - 28.5. Let p = -3 + 8. Which is the smallest value? (a) q (b) 0 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3376456 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 r when three letters picked without replacement from {s: 15, r: 4}?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 166392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + -23. Let g = d + 53. What is the highest common factor of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 17\/2 of a meter?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 - 15. Suppose 2*z - 2*c + 12 = 6*z, 5*c = -z - y. Let k be 45\/6 - (-2)\/4. Solve -z*m - k = 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 - 52*a - 645. Give y(35).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v**2 - 12*v + 6. What is the units digit of g(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 16 = 6*i, 3*n = 4*i - 365. Find the common denominator of 3\/32 and -1*(1 + 0) + n\/(-12).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -0.3, 2\/7, 0.036?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 6*u**2 + 2*u - 9. Let v be g(6). Suppose -f - 6 = f, v*y - 21 = -f. What is the greatest common factor of y and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(42\/(-49)) + -21. Are s and -32 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/(-20) + -1 + (105\/12)\/7. Let h be 5\/15*1*21. Solve -3*r + h = l for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 262.28 - 266. Let m = i - -3.42. What is the third biggest value in -3.2, -0.5, m, -4?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41206 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -6. Let w be (-5)\/(255\/s)*3. Let d(k) = 368*k - 6262. Let y be d(17). What is the second smallest value in w, y, 0.2, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 192546 = 6*l + 2*n, 0 = 3*l + 3*n - 96255. What are the prime factors of l?\nAnswer: 2, 3, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155537 - 161009 = 144*n for n.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (8 - (4 + 1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28777?\nAnswer: 7, 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -14*t**2 - 1285*t + 8419. Calculate u(-98).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 8*x**2 - 7*x + 59. Let p be k(-7). Suppose 4*l = -2*g + p, -g = 3*l + 16 - 267. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 1504*u + 40559. Determine p(-26).\nAnswer: 779","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l = 6*l - 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2211 + 2210?\nAnswer: 12121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4449428373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 3*h = 116. Let o = h - -8. Let b be 7000*(4\/(-4) - o). What is b rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 29 = -14. Suppose -2*z + 12887 = y + 4*y, -d*y = -z - 12899. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 79, 100, 121, 142?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34312461?\nAnswer: 3, 19, 523, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 510462.6 millennia?\nAnswer: 5104626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j - 7*j + 14*j - 5*j. Let a(z) = z + 2 - 2. Give a(p(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (62\/((-2 - -7)\/1))\/(70\/175) is divided by 25.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.95 - 30.35. Let f = -36.74 + 0.74. Let j = f - u. Which is the second smallest value? (a) j (b) 0.1 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 f when two letters picked without replacement from rvmffffvfrffvmmfffu.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-6)\/16)\/3 + (-134085)\/(-168).\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 + -23. Let m = -0.2 - -0.7. Put m, -0.06, v in decreasing order.\nAnswer: m, -0.06, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 960, 4459, 14018, 32685, 63508?\n\"Answer: 508*u**3 - 18*u**2 - 3*u + 473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3 + (-1 + 1*6*(sqrt(343) + 2))**2 + -1.\nAnswer: 924*sqrt(7) + 12469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.1, 1\/229, -8, 1.53?\nAnswer: 1\/229","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -2. Let i(n) be the second derivative of -n**5\/10 - n**3\/6 + n**2\/2 + 4*n. Let f be i(c). Is 1 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 878\/11 - 80. Let f = 3\/17 + 2\/85. Which is the nearest to -0.2? (a) -5 (b) y (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.968 - 7.368. What is the nearest to 0.8 in -2\/9, 1\/2, 0.2, b?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/325? (a) 2 (b) -3\/14 (c) 11 (d) -5 (e) -51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.037117 - 0.237117. Let l = -2.05 + 0.05. Let n = 1827\/11 - 166. Sort l, 2, n, z in ascending order.\nAnswer: l, z, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + s = 57. Let k = 15 - s. Let n be 1 + (1 + 0)*7. Calculate the highest common factor of n and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 346, 295, 200, 61?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4*y = 92, -3*q = -3*y + 4*y - 133. What is the remainder when q is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 55, -1, 3064, 4 in decreasing order.\nAnswer: 3064, 55, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/65 + -11 + (-56)\/104.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 + 4 + m**2 - 2*m**2.\nAnswer: -2*m**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -3 - (-4 + -14*(0 - (-693)\/6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = i - 5*y, -3*i - y = 2*i + 109. Let n be (-70258)\/(-8) + (-2 - i\/12). Suppose -2*q = -6*x + 2*x - 3502, 5*q - n = x. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 559 - -1434. Let f(m) = 147*m - 1. Let q be f(-5). Let b = q + z. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370874711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3854, 3177, 2350, 1373, 246, -1031?\nAnswer: -2458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1386 is divided by 69.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -485 divided by -726.\nAnswer: 485\/726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 7 + 3 + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -40\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 162154792?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + 0. Let x = g - 6.4. Which is the second smallest value? (a) x (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3 + 2*v + 8*v - v**2 - 2. Suppose 3*f - o + 21 = 6*f, -5*o = 0. List the prime factors of g(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 568343 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13555334 is divided by 201.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 2 + 16)*(3 - 3 + y)*(-y**2 + 2*y - 2*y) + y**3 - 4*y**3 + 2*y**3 as o*y + i*y**3 + w + u*y**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of j**10\/60480 + j**9\/30240 - j**8\/13440 - j**7\/5040 - j**4\/12 - 4*j. Let w(h) be the third derivative of f(h). Factor w(n).\nAnswer: n**2*(n - 1)*(n + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -96 + 100. Suppose h = -5*b + 77, 0*b - r*b + 4 = 0. Does 16 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 159792478 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000116098435 to 7 dps.\nAnswer: 0.0000116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 32 + 6 = -2*x, 4*x = j + 2. Put -3, 5, j, -5, -4 in increasing order.\nAnswer: j, -5, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o. Let q(d) = 82652*d + 9. What is j(q(b))?\nAnswer: -165304*b - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.985 + 0.015. Let p be 54 + 2\/(-8)*0. Let f = 52 - p. Is f < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59114075 a multiple of 756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*r + 30*r - 22*r + 65*r to i + q*r and give q.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - r**2 + 3*r - 4. What is z(3)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 258151109465 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b = 11*b + 24. Suppose -2*s + 8 = 2*s + 3*l, 3*l = 4*s - b. Suppose 0 = -s*i + 4*i - 110. List the prime factors of i.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1656 = -11*q - 1414. What is the lowest common multiple of 68 and q?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 242550154093.\nAnswer: -242550154093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3b (base 14) to base 10\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -109.7 + 110. Let p = -4185.94 + 4105. Let x = 81 + p. What is the closest to 0.2 in b, 0.5, x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**5\/7 + 48*a**4\/7 + 832*a**3\/7 + 184*a**2 - 5244*a\/7 + 440 = 0. What is a?\nAnswer: -7, -5, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3335353, 3333947, 3332527, 3331087, 3329621, 3328123, 3326587?\nAnswer: 3325007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (1128*g**2 + g - 9211 + 9211)*(0*g**2 + 2*g**2 - g**2) as w*g**2 + u + b*g**3 + v*g**4 + r*g and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y + 10. Let r be c(7). Let t be (0\/(-2))\/(-2) + 6. Suppose 0*o + 3*o - t = 0. Solve -10 = r*v + o, -v + 12 = 4*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1587 and 132.\nAnswer: 69828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 2\/5*g + 0*g**2 - 2\/15*g**3 + 9. Factor l(p).\nAnswer: -2*(p - 1)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1.4122 (b) -2\/11 (c) 0.1 (d) 5 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9576 divided by -3192.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35941*b**2 + 167287*b**2 - 88270*b**2 + 152118*b**2.\nAnswer: 267076*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2. Let y(m) be the first derivative of 5*m**3\/3 - 50*m + 411. Determine y(c(q)).\nAnswer: 5*q**4 - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2126905076.\nAnswer: 2, 531726269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*v + 3*v**3 + 142*v.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence stt when three letters picked without replacement from tts.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12076*m - 2988*m + 167*m**2 - 8329*m + 5284*m - 168*m**2.\nAnswer: -m**2 - 18109*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-490926)\/(-17) - 8\/40*(1 - -9)?\nAnswer: 2, 7219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21555 - -21552.8. Let g = 1.2 - -3.8. Which is the second smallest value? (a) r (b) 4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 30 (b) 2\/3 (c) -0.08 (d) 0.5 (e) -3\/4 (f) 11889\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/9*12\/(-8)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**3 + 7*l**2 + l**2 + 2*l**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**4 + 34*a + 2*a**3 + 43*a - a**2 - 75*a to the form u + v*a + p*a**4 + t*a**2 + z*a**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*c + 32 = 0. Let a(b) = 89*b**2 + 9*b - 18. Let s be a(c). Let y be s\/4*(2 - 322). Round y to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 7:46 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 0.17 in decreasing order.\nAnswer: 3, 0.17, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 1:41 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4 + 7 + 0*f**3 - 8*f**2 + 9*f**3 - 8*f**3 - 20*f. Calculate i(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1987.9 * -0.1322\nAnswer: -262.80038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 232070 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 3*v**2 + v + 3. Let s be h(-3). Let m = 44 - 41. Suppose m*b - 5 - 7 = s. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - 0) + 602 + -580?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006894709 rounded to four dps?\nAnswer: 0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20 - -22011?\nAnswer: 21551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3 - -1 - 9\/(-198) and -3\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138400 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13731961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/36 + 17\/6. Suppose -b*q = 0, 4*m = m + 3*q + 327. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22924 by -11462.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 791 and 10645111?\nAnswer: 10644320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -1.5. Suppose 0 = 3*q - 3*z + 15, 2*z + 2*z - 17 = 3*q. Put p, q, -4 in decreasing order.\nAnswer: p, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**3 - 70*a**2 + 76 + 38*a**2 + 32*a**2.\nAnswer: -2*a**3 + 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 35 = -2*t. Let s(q) = -q**3 + 8*q**2 - 4*q - 7. Let w be s(t). Suppose 366 = 5*l - 404. Calculate the greatest common factor of l and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2995, -2988, -2967, -2926, -2859, -2760, -2623, -2442?\nAnswer: -2211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 1, 259\/1201, -4, 2\/5?\nAnswer: 259\/1201","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 3, 2, 24, -0.02, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 u when three letters picked without replacement from {k: 5, l: 4, x: 1, u: 3, a: 1}?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -n + 7, -4*n - n = 3*v - 22. Suppose 91 = n*i + 21. Calculate the lowest common multiple of i and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 894 = 5*z - 1051. Suppose 3*f + l + 150 = 551, -3*f + 5*l + z = 0. What are the prime factors of f?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.5, -0.3, -0.05 in descending order.\nAnswer: 0.5, -0.05, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2133*x**4 - 4359*x**3 + 819*x**2 - 21553*x wrt x?\nAnswer: -51192*x - 26154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 265 and 180.5862.\nAnswer: 445.5862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 15) to base 12.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -8 in descending order.\nAnswer: 4, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 1. Let u(b) = 4*b**2 + 8*b + 6. Let g(d) = -2*n(d) - u(d). Let g(c) = 0. Calculate c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*w + 23. Let x(c) = 560*c - w + 3 + 31 - 2. Is x(5) 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 1889?\nAnswer: 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 415434586 to the power of 1\/4, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1241190*v**3*z**3 + 2*v**3*z + 10*v**2 - 126*v*z**2 - v*z + 3*z**2 wrt z?\nAnswer: 7447140*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**2 - 222*j + 168. What is l(71)?\nAnswer: -471","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) -1\/2 (c) -4\/5 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55607 is divided by 18534.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - -7. Let j be -1 - k - (-2)\/2. Suppose 8085*r = 8098*r + 325. Are j and r unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/2))**(-35)*t**7*t**(-4)\/t*t assuming t is positive.\nAnswer: t**(41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17183?\nAnswer: 17183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3\/4 - 21*x**2\/4 + 27*x\/2.\nAnswer: -3*x*(x - 2)*(x + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**3\/7 + 10975353*n**2\/7 + 21950697*n\/7 + 10975347\/7 = 0 for n.\nAnswer: -3658449, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.329495649 to two dps.\nAnswer: 2.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5*o = -246 + 288, o = -5*y + 26. Let c be 2*(-2)\/4 + 4. Suppose 0 = -5*g + 15, c*u = -2*g + 4*g. Solve 6 = y*s + u for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -296 - -467. What is the greatest common factor of b and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 - -0.7. Let d(i) = -i**3 + 55*i**2 - 524*i - 289. Let j be d(13). Let v = -2.5 - -2. Which is the nearest to -1\/4? (a) g (b) j (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 0.04\nAnswer: 0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6811, 13676, 20551, 27442, 34355?\n\"Answer: q**3 - q**2 + 6861*q - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(28\/(-64)*(-3)\/6*8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*k = -36*k + 124. Solve -5*x = -3*q - 15, -5*x - k*q + 9 + 6 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 5*w**4 - 30*w**3 - 505*w**2 - 870*w + 1400 = 0.\nAnswer: -5, -4, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 0*b**2 + 0*b**5 - 5\/6*b**3 - 1\/4*b**4 + 0 - 1\/5*b**6 + 11*b. Find the third derivative of n(s) wrt s.\nAnswer: -144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a. Suppose 0 = 4*i - i - 30. Let x = 14 - i. Suppose -x = -7*b + 8*b. What is y(b)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 9*i. Let b(o) = -61203*o**2 - 43*o - 2. Give u(b(c)).\nAnswer: -550827*c**2 - 387*c - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50*0.01.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*v**3 - 21*v**3 + 37*v**3 + (-2*v + 2*v + 2*v**2)*(v - 5*v + 3*v) - 4 + 4 - 17*v**3 as i + u*v**3 + c*v**2 + g*v and give u.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a168 + -1a?\nAnswer: -a184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -8 - 32. Let o = -1 + h. Let c(u) = -7*u**2 - 1 + 11*u**3 - 10*u**3 + 0*u**2. Calculate c(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 209 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*v + 17*v - 510. Let c be (-6)\/v - (-32)\/(-884). What is the third smallest value in 0.3, c, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77692945 divided by -7.\nAnswer: -77692945\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/104211 and -29\/28079075.\nAnswer: 252711675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18111607?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v**3 - 24*v**2 - 6*v + 2. Does 32 divide s(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 17*k + 46. Let b be t(20). Let i = b + -123. Which is greater: i or -67\/4?\nAnswer: -67\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*l + 1945*l**2 - 105*l.\nAnswer: 1945*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1715 and 4210?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93129.\nAnswer: 3, 37, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1212.16 - -1212. Which is the smallest value? (a) j (b) -2\/15 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 11*o**2 + 42*o + 40. Suppose 0 = 2*x + 15 - 39. Let d = 5 - x. Let l(h) = -24*h**2 - 83*h - 80. Let m(q) = d*k(q) - 3*l(q). Factor m(v).\nAnswer: -5*(v + 1)*(v + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.25 + 4.75. Let m = -0.7 - 0.3. Let i = 0 + m. What is the second biggest value in v, -3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/sqrt(2) + 3 + 1 + sqrt(117).\nAnswer: 4 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 7*c**2 - 4*c + 1. Let j be r(6). Let g = 16 - j. Calculate the remainder when (-560)\/(-30) + 1\/g is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 15*o + 46. Let n be h(11). What is the second derivative of m + 0 - 27 + 11*m**2 - 2*m**n - 2*m**2 wrt m?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*p**2 + 4*p**2 - 1 - 2*p**2 + 3*p**2 + 2*p**2 + (-2*p - 3 + 3)*(p - 5*p + 3*p).\nAnswer: 7*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r**3 - 24*r**2 - 22*r - 18. Let f(g) = g**3 + 8*g**2 + 7*g + 6. Let x(q) = 7*f(q) + 2*s(q). What is the remainder when 39 is divided by x(-7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3073 + 5.8006.\nAnswer: 5.4933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 176191494*g**2 - 752314*g - 5 wrt g?\nAnswer: 352382988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4993, -9737, -14481, -19225, -23969?\nAnswer: -28713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*1*(0 + 2\/3). Let n = -61 - -57.9. Let a = n + 7.1. Put 3, z, a in descending order.\nAnswer: a, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1923 and -2.0061?\nAnswer: 3857.7303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*w**3 - 39*w**3 + 102*w**3.\nAnswer: 21*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 6 = 4*q, c + 34*q + 27*q + 6 = 62*q for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 t when three letters picked without replacement from tggtpppmtppp.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wcs when three letters picked without replacement from sgnssgcglww?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1328 smaller than 1328?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 - -0.3. Let d = 16 - 9. Let g = d - 11. Which is the third smallest value? (a) k (b) 4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28746 (base 11) in base 7?\nAnswer: -230013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (2 - -1) - -19\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r + 5*r = 3*a - 316, -a = -6*a + 31*r - 28*r + 512 for a.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 560640 and 4147860?\nAnswer: 4380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 6*((1*sqrt(143)*-1*2)\/(sqrt(77)\/(-2*sqrt(448) + sqrt(448))))**2.\nAnswer: 19968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 546, 4208, 14144, 33492, 65390?\n\"Answer: 523*i**3 - i**2 + 4*i + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 192497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3171, -3170, -3169, -3168, -3167, -3166?\nAnswer: -3165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of f**6\/3 + 4*f**5\/5 + 97*f**3\/3 - 85. What is the third derivative of q(d) wrt d?\nAnswer: 120*d**2 + 96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9644\/411945 - -2\/4735. Which is smaller: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48302398?\nAnswer: 2, 53, 455683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -6*c + 5*c - 14851, 0 = 5*c - 20. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2747 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 4) in base 14?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 91b5 - -17?\nAnswer: 91cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b - 1. Let g(h) = 7*h + 28. What is g(t) - 6*y(t)?\nAnswer: t + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.18904 to 3 dps.\nAnswer: 0.189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 11) to base 6\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 239674611 and 6633?\nAnswer: 2211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/8 + (-347)\/4)\/(2265\/(-2070210)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -155, -156, -149, -128, -87, -20, 79?\nAnswer: 216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4918, 19677, 44248, 78607, 122730, 176593, 240172, 313443?\n\"Answer: -4*l**3 + 4930*l**2 - 3*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 9*y - 14201 = 5*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 42*y + 473. Calculate v(-23).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 23 = -m, -3*m - 5*v + 11 = -6*v. Solve -29 = m*y - 5*l, -31*l = -3*y - 28*l - 21 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152813.1 milliseconds in seconds?\nAnswer: 152.8131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 41595?\nAnswer: -41592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1040158?\nAnswer: 2, 7, 74297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*f**5 + 4*f**5 + 3*f**5 + (f**4 + 0*f**4 + 0*f**4)*(-2*f - 2 + 2) + 2*f**5 - 4*f**5 + f**5 - f**5 + 38*f**4 + 0*f**5 - 4*f - 39*f**4.\nAnswer: -3*f**5 - f**4 - 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 9*y**2 + 10*y - 9. Suppose 23 = 3*h - 3*k + 4*k, h = 3*k + 11. What is the least common multiple of p(h) and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19992 = 11*y - 7*y. Is y a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/448 and 101\/140.\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -102 + 102. Let b(l) = -76*l - 9 + i + 49*l. List the prime factors of b(-7).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 36\/11, -12, -3 in decreasing order.\nAnswer: 36\/11, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1983?\nAnswer: 3, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 16175077, 32350154, 48525231, 64700308, 80875385?\n\"Answer: 16175077*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (395\/30 - 15) + 15\/9?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 744409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 188935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, h: 2}. What is prob of picking 2 h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1050 = 161*u - 11*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 2*g**2 + 8*g + 6. Let a be m(-6). Let k be a\/14 - (-4)\/14. Is k greater than or equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 459.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nliiiniiiliiiniiiil. Give prob of sequence li.\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/44509248 and -151\/11127312.\nAnswer: 44509248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -4 (c) -2 (d) 16\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*s**2 + 29 - 6*s**2 - 15*s**2)*(-3*s + 0*s + 7*s).\nAnswer: 8*s**3 + 116*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + i + 17. Let y be f(0). Suppose 53 = 4*r - 5*v, r + 2*v = 2*r - y. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 0*i**3 + 1\/60*i**5 + 0 + 0*i**4 - 20*i**2 + 0*i. Let o(u) be the second derivative of -u**3 + u. What is o(t(d))?\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 516 and 159315?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 10746, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in -0.2, 3, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -n + 3*r, -4*r = -5*n - 6 + 2. Let s = -8 + 4. What is the closest to n in s, -2\/5, -1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 136144 by -1016.\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, n: 9, w: 3, v: 2, d: 3}. Give prob of sequence vndn.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g - 1 = 13*g - p, -5 = 2*g - 5*p for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (-13 - -60 - (10 - -4)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3d (base 15) in base 11?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -3\/68 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 7*f - 5. Let s be i(8). Suppose 0 = -m + 3*o + 5, s*o = 5*m - 36 + 11. Suppose -3*w + m = -1. Solve -g = -3*g - w for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*d**3 + 8507*d**2 - 84470*d.\nAnswer: -d*(d - 10)*(6*d - 8447)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -18, -3, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*1*-3)\/((sqrt(108)*-1)\/sqrt(12)) - (5 + (2*sqrt(637) - sqrt(637) - 2*sqrt(13)*-4)).\nAnswer: -12*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 51331 - 175?\nAnswer: 51134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 1\/3, -5, 0.6 in decreasing order.\nAnswer: 0.6, 1\/3, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h - 1 + 63*h**2 + 3 - 1. Let y be v(-1). Suppose -96 = -3*k + y. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5*x = -1, -g + 2*g - 4*x - 10 = 0. Calculate the lowest common multiple of 32 and g.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245 = -0*t - 5*t. Let d(z) = -2*z**2 + 43*z + 23. Let v be d(23). Let f = t + v. Solve f*g = -2*w + 10, 9 = 2*w + 5*g - 1 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 428462592 by 142820864.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -131.2717 rounded to one dp?\nAnswer: -131.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ufk when three letters picked without replacement from {f: 2, u: 2, c: 4, k: 8}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0*m - 3*m + 15 = 0, -h + 11 = -5*m. Find the second derivative of -235*l**3 + 235*l**3 - h*l**4 - 26*l wrt l.\nAnswer: -72*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1619 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h**3 + h**2 + 3*h + 2. Let f(d) = -d**3 + d + 1. Let y = -5 + 1. Let a(o) = y*f(o) + z(o). Give a(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r**3\/3 - 5*r**2\/2 + 5*r - 3. Let o be p(-5). Solve 15 = o*u - 0*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1538892 by 3.\nAnswer: -512964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3 + 1*(sqrt(45) - (sqrt(45) + sqrt(405)\/(sqrt(9)*-1)))\/(sqrt(9) - (sqrt(9) + (sqrt(72)\/sqrt(128) - sqrt(9)))))**2.\nAnswer: -32*sqrt(5)\/3 + 224\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 224 and 5507712.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26369, -26377, -26385, -26393, -26401, -26409?\nAnswer: -26417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14612 is divided by 14601?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**2 + 0 + 0)*(j**3 - j**3 - 2*j**3 + (-1 - 1 + 4)*(0*j**3 - j**3 - j**3) - j**3 - 2*j**3 + 0*j**3) + (-36 + 36 + 3*j**3)*(-4*j**2 + j**2 + 5*j**2).\nAnswer: 33*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-14 + 4 + 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205147 is divided by 34191.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26554?\nAnswer: 2, 11, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 18 = u. Solve -u*b + 2*b = 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of t**6\/3 + 614*t**5\/5 + t**4\/4 - 92*t**3\/3 - t**2\/2 - 2*t - 1944. What is the third derivative of g(h) wrt h?\nAnswer: 120*h**2 + 14736*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1191?\nAnswer: 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/7))**(-1\/8)\/(i**(-1)\/i**(-5\/2)) assuming i is positive.\nAnswer: i**(-43\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -82*t**3\/3 - 996*t**2 - 1910*t - 2824\/3.\nAnswer: -2*(t + 1)**2*(41*t + 1412)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 13*z - 57. What is the nearest to 0.2 in z, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 279b9 (base 13) to base 16.\nAnswer: 121be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9355*f**4*k - 3966*f*k + f - k - 1 wrt f.\nAnswer: 112260*f**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 116143445 to the nearest integer?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -b?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1779.\nAnswer: 3, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 less than 148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vov when three letters picked without replacement from svosvvlvsslvvlvs?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1136, -5, -3, 0, -4 in descending order.\nAnswer: 1136, 0, -1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -285462144 divided by 4?\nAnswer: -71365536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -26*l + 11 + 423 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + (sqrt(45)\/(sqrt(36)\/sqrt(4)) - sqrt(5))**2) - ((-1*sqrt(5)*-2 + 0)*-5)**2.\nAnswer: -495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5*-756.5\nAnswer: 3782.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 745, -202, -1777, -3980, -6811, -10270, -14357?\n\"Answer: -314*w**2 - 5*w + 1064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6947 (base 11) in base 15?\nAnswer: -2a86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-5)\/o**(-1\/16)*(o*o**(3\/8)*o)\/(o*o**(-5\/19)) assuming o is positive.\nAnswer: o**(-1003\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**2 - 4295760*l - 1537796164800 = 0. What is l?\nAnswer: -715960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 211 and 1831567.\nAnswer: 386460637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 4, 2, -1, 12, -3 in descending order.\nAnswer: 12, 7, 4, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-1)*(-6 + 5). Suppose t = -2*k + 18. Let n = 29 + -9. Calculate the greatest common divisor of k and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49*0.4.\nAnswer: 19.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/3 (b) 3 (c) 0.5 (d) 2 (e) -0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, -531, 1.\nAnswer: -531, -61, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u + 2*y + 13, -5101*u + 10 = -5102*u + 7*y for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 735\/(-70)*(-5)\/(60\/(-16))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w + 2. Let u be j(8). Let k(y) = -12*y - 4. Let c be k(-4). Let o = u + c. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(2 - 1))\/3. Suppose -39*u + 33*u = -120. Let y be (-254)\/20 + 4\/u. Which is the smallest value? (a) -1 (b) j (c) 5 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 226.54 - 226.44. Put f, 2780, -4 in descending order.\nAnswer: 2780, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 549.6593 years to months.\nAnswer: 6595.9116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2654 + -1910. Calculate the highest common divisor of n and 837.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 + 3*r)*(r - r - r**2)*(3 + 4 - 4) in the form z*r**2 + h*r**3 + m*r + b and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -468*c + 8. Let u(m) = -929*m + 17. Give 6*u(t) - 13*x(t).\nAnswer: 510*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1153003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/9*k**2 + 0 + 536\/9*k = 0 for k.\nAnswer: -134, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107990233 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*k = -174*k + 104. Let v(n) = -14 + 25 - 3*n**2 - n**3 - 11*n + k*n**2. Give v(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10713.439 rounded to 0 dps?\nAnswer: -10713","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12725 and 2900?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -443.\nAnswer: 1772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -23358.8859 rounded to the nearest 10?\nAnswer: -23360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 80*b + 2742. Give k(-34).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -21*x**2 - 7*x + 17. Suppose 34 - 52 = -32*y + 398. Let p(o) = -10*o**2 - 3*o + 8. Calculate y*p(l) - 6*n(l).\nAnswer: -4*l**2 + 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 78 + -35. Let i = v - 41. Suppose 0*p + 6 = i*p. Solve 3*d - 4*w = -0*w - 14, 15 = p*w for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 31319*m - 501202. Calculate f(16).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h - 3. Let i be f(3). Let l = -56 - -53. Does 22 divide 393\/i + (-1)\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 98*s - 2649 + 1081 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/9 and -5 + 4 - (-3 - 39\/90).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3*u = -2 + 26, 4*u = 2*y - 12. Calculate the least common multiple of y and 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 15*q**2\/2 - 2*q + 18. Is g(6) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 73 - 57 - (-4 + -16 - (0 + -7))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 7*w + 4. Let r = 13 + -2. Suppose 5*v = r - 41. What is i(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18690 and 1134?\nAnswer: 504630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -1) + -82 + -16236 + 16242 + -18?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*x - 20, 0 = 5*j - 4*x - 0*x - 95. Let o = j - 8. Let s = o - 5. Solve 3 = f - s for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 6 = -p. Solve -p*t = -6*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((3 + 1*sqrt(2057))**2 + -5) + (-5*(-1 + 1*sqrt(2057) + (sqrt(2057) + 0)*5))**2)*5.\nAnswer: -16170*sqrt(17) + 9266930","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1744*c**2*x**2 + 599*c**2*x + c**2 wrt x.\nAnswer: 3488*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of v**5\/25 + 2*v**4\/15 - 26*v**3\/15 + 4*v**2 - 8*v + 6. Suppose l(s) = 0. What is s?\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -5009000\nAnswer: 1\/5009000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -23*p - 98. Let d be k(-19). Let s = d - -69. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -10. Solve u = -3*i - i - 5, c*i - u + 13 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 m when four letters picked without replacement from {q: 10, m: 2, z: 2}?\nAnswer: 240\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5616 = -5*l - 4*l. What is the units digit of (22\/4)\/(24\/l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 0)\/(((-54)\/(-72))\/((-99)\/(-24)))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, -290071, 4, 1 in ascending order.\nAnswer: -290071, -5, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*h - 55480000 = -17*h. Round h to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 444192074 is divided by 1619.\nAnswer: 1615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*y + 4*o - 5, -y + 15 = 3*o. Suppose -3*u = 2*u - 10. Solve -3*h - 4*d - 2 = u, y*d = 3*h - 24 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 + 8 = -r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -63, -111, -179, -273, -399, -563?\nAnswer: -771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -5*b + 27, 0 = -3*b - 4*u - 11 + 32. Suppose -d = -b*d + 6. Suppose 7 = d*h + 4. What is the greatest common divisor of h and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**3 - 5*y**2 - 7*y + 5 - 5*y**3 + 2*y**3 + y**3. Let s be n(6). Let o be ((-18)\/(-168))\/((-72)\/28). Is o bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4740\/(-44))\/(-3*8\/416). Let o = a - 1865. Find the common denominator of o and (-2)\/7 + 95\/357.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -9*m**2 + 3*m + 4. Let w(f) = 8*f**2 - 4*f - 5. Let c(o) = 5*h(o) + 6*w(o). Let i = -1934 - -1939. Is c(i) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 15, 13, 2 in decreasing order.\nAnswer: 15, 13, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8 - -0.3. Let k = -11941.4 - -11942. Let n = 2 + -3. Sort k, z, n in decreasing order.\nAnswer: k, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 1)\/((-6)\/(-3)). Is (1 - (-804)\/(-3))*h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*z - 17*z + 810. Calculate the common denominator of 18\/z - 6\/8 and 74\/3.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3cc (base 15) to base 7\nAnswer: 2346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 10:51 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((21 - 4) + 112)*((-2)\/6 - 0)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -2\/161 (c) -11 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*f = 168*f - 3*a - 4, 2*f + 2*a = 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12524 + 50?\nAnswer: -12434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -113976 smaller than -113967?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 167115\/2 at most 83557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0154 to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vdsvsvdlshsldvsvs. What is prob of sequence vvls?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2680 + 10029. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*j - 5*b + 5, 3*b - 3 = 0. Let f = 2 - j. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {i: 6, h: 1, o: 1, q: 1, w: 1, v: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -59, -91, -121, -143?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2 + 9*v + 15. Let p be z(-11). Suppose 4*q = 82 + p. Find the common denominator of 211\/q - 4\/(-12) and 125\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -b**6 - 7*b**4\/4 - b**2 - 12. What is the second derivative of w(m) wrt m?\nAnswer: -120*m**3 - 42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 489383065\/4296 + -113916. Calculate the common denominator of -79\/3222 and x.\nAnswer: 12888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 5:56 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 170 or -1005?\nAnswer: -1005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -34771 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1220 + 221?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -75 + 106. Let m = -28 + y. Which is greater: m or 2\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 5*a**2 + 2*a - 5. Let s be x(-4). Differentiate -5 - s*i**3 + 2 + i**3 with respect to i.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7076 and 61?\nAnswer: 431636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - 3*d + 6*d)*(2*d**4 + 1 - 1) + (-3 + 1 + 3)*(-2*d**5 + 2 - 2) + (-4*d + 2*d - 3*d)*(d**4 - d**4 + 2*d**4).\nAnswer: 2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -247*t**2 + 3*t - 9. Let c(v) = 4*v**2. Give o(c(j)).\nAnswer: -3952*j**4 + 12*j**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p + 14. Let s be h(13). Let u = s - 53. Suppose u = -3*d - 12, -4*r + 191 + 37 = -d. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3644 * 50.\nAnswer: 182200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**2. Suppose -10*w + 6*w - 28 = 0. Let d = w + 11. Let q(n) = -d - n + 3 + 1. Calculate l(q(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*z + 18*z - 26*z = -132*z - 7161 for z.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 9*o - 59. Let c be h(7). Solve -5*z + 5*x = 0, -c*z + x + 0*x + 3 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2085, -1875, -1297, -165, 1707, 4505?\n\"Answer: 31*n**3 - 2*n**2 - n - 2113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 417 + -640. Let w = -203 - o. Calculate the smallest common multiple of 148 and w.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 7:01 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -35674 at least -35678?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 426720192 divided by -8890004?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/7630 and -31\/4.\nAnswer: 15260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -821 - 1024 = 132*l - 525 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -202, -205, -208, -211, -214, -217?\n\"Answer: -3*u - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 195c2 (base 14) to base 4.\nAnswer: 33230012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 5*h + 3*d, -h + d = 135 - 142 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 155734795?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1895458, -1895443, -1895406, -1895335, -1895218, -1895043, -1894798, -1894471?\nAnswer: -1894050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g. Let q(t) = 11*t**2 - 17*t + 2379. Let h(c) = 2*a(c) - q(c). What is the derivative of h(d) wrt d?\nAnswer: -22*d + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 865 + 860 - 19*s - 1727. What is o(-2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -7.44799?\nAnswer: -22.34397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 1 - 2 = 3*y, 3*y + f = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -170626*k. Let r(d) = 2*d. Determine r(w(l)).\nAnswer: -341252*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -18*g - 13. Let l(f) = 54*f + 40. Let n(k) = 8*j(k) + 3*l(k). What is the tens digit of n(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hr when two letters picked without replacement from {d: 1, g: 2, r: 1, k: 1, h: 1, x: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 1110110000101110?\nAnswer: -1110110000110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.37 - 0.13. Let b = -1.06 + -0.44. Let o = t - b. What is the nearest to o in 1\/3, 3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10022011012 (base 3) to base 8\nAnswer: -176742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -4, 6.223 in ascending order.\nAnswer: -4, 2\/9, 6.223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 7:08 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*t + 20*t**3 + 1 - 7*t - 9*t as b + c*t**2 + y*t + u*t**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 2*b**5\/35 + 3*b**4\/14 + 2*b**3\/21 - 3*b**2\/7 - 4*b\/7 - 132. Factor p(m).\nAnswer: 2*(m - 1)*(m + 1)**2*(m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-18) - 120\/(-54). What is the derivative of -397*n**s + 835*n**2 - 395*n**2 + 102 wrt n?\nAnswer: 86*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1734.12 or -25?\nAnswer: -1734.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 2*h - 2. Let m be s(7). Suppose 2*o - 2*d - 80 = 0, 3*o - 2*d = -0*d + 125. Let p = o + -23. What is the greatest common divisor of p and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 427*-44\nAnswer: -18788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1504408419.\nAnswer: 3, 37, 67, 67429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -39*a + 44*a - 15, 15 = 5*r + 5*a for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-4\/5))\/(b*b**(2\/17)))\/(b**(-18)*(b**(12\/5)\/b)\/b))**(-13) assuming b is positive.\nAnswer: b**(-18434\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000034935 to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 793781.\nAnswer: 17, 53, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1012211 (base 3) to base 6\nAnswer: -4034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 2320021?\nAnswer: 2320012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrcrrcrkkcrcrrrk. What is prob of sequence rk?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15903807 + -58?\nAnswer: -15903865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - (sqrt(70) + (sqrt(70) - -3*sqrt(70)))*-2) + sqrt(70) - (sqrt(70)*-2 - sqrt(70))*2)\/(sqrt(80)\/(1*sqrt(8)) - sqrt(810)*1).\nAnswer: -9*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8.5 + -9. What is the biggest value in 4, b, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eighteen fifths of a micrometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 111 - 101. Suppose -5*n = 5*n - a. What is the highest common factor of n and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3615944*j + 3615863*j + 972 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 0*d + d)*(-2 + 2 + 3 + (2 + 3 - 3)*(-4 + 2 + 1))*(4*d - d - 2*d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 241, -4, -1, -3, 287 in descending order.\nAnswer: 287, 241, 3, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w + 38. Let v = -4256 + 4269. Calculate m(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t - 1. Let m = 73 + -72. Let n(r) = -5*r**3 - 2*r + 2. What is m*n(q) + 2*p(q)?\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1753 is divided by 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wx when two letters picked without replacement from xnw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/1505 and 151\/5734050.\nAnswer: 5734050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 38 + 42 = 0. Let j be (-2937)\/(-3948) - (-3)\/(-4). Which is bigger: j or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ab (base 14) to base 12.\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5112 divided by 639.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*j = 943 + 497 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 810, -34, -1430, -3372, -5854?\nAnswer: -8870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 = -115*b + 665 + 1865 + 311 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/110)\/((-2)\/28). Let i = -9\/11 + p. What is the closest to 0.1 in 0.5, i, 3\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millimeter in nanometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2181378 (base 9) to base 4.\nAnswer: 10132332212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -5633*c + 25233. Give w(5).\nAnswer: -2932","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24589206 divided by 8196402.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 12*p**2 - 11*p + 13. Let h be t(13). Suppose h + 6 = -9*b. Let l(w) = -7*w + 2. Let f(y) = 15*y - 5. Determine b*l(k) - 2*f(k).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 13 - 3 = 0. Calculate the lowest common multiple of n and ((-5)\/15)\/((-3)\/198).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + -2 + (-1 - -23). Suppose 0*h + w = 2*m - 2*h, -22 = -2*m + 3*h. Calculate the remainder when m is divided by ((-1)\/(-4))\/(3\/36).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/4*4\/6. Let a(g) be the second derivative of 0 + 5*g + 0*g**2 - z*g**3. Let v(f) = -3*f**2. Give a(v(y)).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 8*b**2 - 11*b + 13. Let y be u(9). Let x = y - -8. Solve 3*k + 6 = -2*t - x, 0 = 5*k - 2*t - 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 22 - -7?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 4*a - 12772, -2916 = 3*a + 2*w - 12450. Solve -a*o + 3196*o + 60 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2137\/10685)\/((256\/(-30))\/8)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -5*f + 37, -r = 5*f - 2*r - 29 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-1\/2)\/b)\/b**(-5))\/(b**(-2\/7)\/b)**(-28))**(1\/54) assuming b is positive.\nAnswer: b**(-65\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k**5\/k)**(-33))**(-21\/2))**(-48))**16 assuming k is positive.\nAnswer: k**(-1330560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*r = -91*r + 3911 + 5746 for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((-244)\/(-110) - 6\/15)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - -3) + (9 - 6 - 255). Let s = -46 - c. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 860933725.609004379 - 860933724. Let x = 1.609 - d. What is x rounded to 7 decimal places?\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7\/50 + 16\/25. Which is the third smallest value? (a) g (b) 0.1 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 12*x**2 - 6*x - 20. Let n be s(11). Let i = n + 230. Calculate the remainder when i is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmllqlmmlml. Give prob of sequence lm.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by (1\/(-2))\/(1\/(-18))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2776 - -2781. Put 9, 4, 27, m in descending order.\nAnswer: 27, 9, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q**3 - 2*q**2 - 8*q - 2. Let r(t) = 48*t**3 - 33*t**2 - 129*t - 33. Let g(n) = 2*r(n) - 33*z(n). Find the second derivative of g(h) wrt h.\nAnswer: -18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -47*w - 29. Let u be v(-6). Calculate the highest common divisor of 23 and u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(325)*3 + sqrt(13))**2) + sqrt(468)*-3.\nAnswer: -3328 - 17*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77441, 77517, 77595, 77675, 77757, 77841?\nAnswer: 77927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**3\/2 - 5855*p**2 - 151947*p\/2 + 666729 = 0.\nAnswer: -11697, -19, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from atttaoppaittaptp. Give prob of picking 2 p and 1 o.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 4:40 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25989 is divided by 12859?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Let w = -35031 + 35694. What is the remainder when 677 is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 53, 371, 1229, 2897, 5645, 9743, 15461?\n\"Answer: 45*n**3 + 3*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**3 - 53*c**2 - 68*c - 63. What is x(-25)?\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - s - 1 = 0, 2*s = -4*z + s + 5. Let b(m) be the first derivative of -3 + 1\/4*m**4 - 3*m + 0*m**3 + 0*m**z. Differentiate b(u) with respect to u.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.6 - 1.4. Let t = -8 - r. Let c = 574 - 572. What is the second smallest value in 3\/4, c, t?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 13 + -692*(-10)\/(-520)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 119?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 73*w**5 + 517*w**3 - 32575*w**2.\nAnswer: 4380*w**2 + 3102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1813271 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*-2)**2 - (-3 + sqrt(36)\/(-2*sqrt(12) + sqrt(12))).\nAnswer: sqrt(3) + 771","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 6:02 PM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171257 is divided by 126.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from rrrrrrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*d - 7 + 8 - 1 to j + y*d and give y.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2329 (b) -0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -144 by 3.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 0*o + 4. Let j(a) = -218803*a + 437605*a - 218803*a + 1. Let n(w) = -4*w**2 - w + 1. Calculate o*j(z) - n(z).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ut when two letters picked without replacement from luuuuullitttu.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -41, -2.2, -3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 434.001491 + -434. Round d to 4 dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.654*-23200\nAnswer: 61572.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*u = -30*u + 32 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 955 - -105?\nAnswer: a5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, a: 1, c: 1, g: 1, q: 1, b: 1}. What is prob of sequence car?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 676.1814 millennia in months?\nAnswer: 8114176.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-652)\/18 + (-8)\/(-36). Let o = -254\/7 - m. What is the closest to -1 in 2, o, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.6 + -0.5. What is the fourth smallest value in j, -2, -3\/7, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05787808 less than 36?\nAnswer: 35.94212192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -1247*r**2 - 8*r - 4. Let g(l) = -2496*l**2 - 18*l - 9. What is -9*b(k) + 4*g(k)?\nAnswer: 1239*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-20))\/(3*2\/(-16)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2068 divided by 3.\nAnswer: -2068\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**3 + 4*y**2 + 21*y + 7*y**2 - 15*y**2 + 3*y**2 in the form x*y + c*y**2 + f*y**3 + w and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 2:41 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - l - 6)*(42*l + 7*l - 2*l).\nAnswer: -47*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 6*t - 6. Let r be b(4). Suppose l - d - 2*d = 12, -r = -2*l - 5*d. Let s(u) = -u**3 + 6*u**2 + u - 6. Determine s(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 464094?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4410 + 4409. Put 386, f, 4, 1 in increasing order.\nAnswer: f, 1, 4, 386","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4 + 32787871*n**3 - 358348008560685*n**2 + 1305493688155053072325*n + 18276981870470390863250.\nAnswer: -(n - 10929295)**3*(n + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 11*b**2 - 19*b - 166. What is the hundreds digit of j(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*i**2*t**3*v**2 - 2*i**2*t**2 + 24*i*t**3*v**2 - i*t**2*v - 7*i*t*v**2 + 2*i*t - 2*t**2*v wrt t?\nAnswer: 84*i**2*v**2 + 144*i*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -280 + 290. Suppose 61 + 49 = y*p. Solve -3*d + p = 5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + (3 + -1)*12. Let b = n - 7. Calculate the remainder when b is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 1 = 5*l - 14, l - 2*k = 9. Let v(d) = -2*d**2 + 52. Let g be v(l). Solve -g*n = -3*o - 23, 5*n - 15 = 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/3 + 4 + 3\/(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.138 in 0, -6, 8048?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 5 = k. Suppose k*t - 103 = 641. List the prime factors of t.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 358, -19, 5, 215 in decreasing order.\nAnswer: 358, 215, 5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -6 + (3 - 1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(-3\/7)\/k*k*k*k**(-1\/5)*k**(1\/2)\/k*k\/(k**(-1\/5)\/k)*k**(-2\/7)*k*k**(-2)\/k*k*k**3*k*k\/(k**4*k) assuming k is positive.\nAnswer: k**(25\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -4 + 37. Suppose 0 = -5*f - u + n - 161, -4*f - 5*u = 99. Let j = 64 + f. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4*(sqrt(65) + sqrt(65)*2) + sqrt(65))\/(sqrt(45)\/sqrt(324))*6.\nAnswer: -396*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2135, 3972, 10057, 16120?\nAnswer: 22161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 58, -1\/5, -5, 149, -3\/5, 36, 2\/3?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o + 4*o - 46 = 194 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4954044 and 929940.\nAnswer: 272472420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1615*b + 1612*b - 5*k + 33 = 0, 3*k = 5*b + 47 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - -28 - -5 - (-18 - -17 - (-77 - 2)).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 140.496 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l. Let n(k) = 20*k**2 + 2*k. Let h(r) = -r**2 + r. Let x(p) = -6*h(p) + 3*n(p). Give g(x(q)).\nAnswer: 66*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 4056 - m**3 + 30*m**4 + m**2 + 0*m**2 + 2*m - 4062 - 11*m**4 as y*m**3 + k*m**2 + p + j*m**4 + v*m and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 910975.7 minutes to seconds.\nAnswer: 54658542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -596 divided by 4\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.0381696 rounded to 1 dp?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 594533?\nAnswer: 594533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*t + 103*t = 67*t + 624 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 13*m**2 - 2697*m + 3259. Let a(p) = 7*p**2 - 1348*p + 1630. Let l(c) = 11*a(c) - 6*f(c). Differentiate l(g) with respect to g.\nAnswer: -2*g + 1354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from byeyyqqeqyg. What is prob of picking 1 q, 1 e, and 2 y?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2627991?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -363 + 44. Let p = c + 316.63. What is p rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1394618 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*h + 2 = -20, 5*h = -3*b + 38. What is the smallest common multiple of b and 73?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z**3 - 20*z + 20*z + 33*z**3.\nAnswer: 25*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 5*j + 16 = 0, -2*q + 2*j - 4 = 5*j for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 5652*g - 33896. Determine t(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 + 2 - 2*i + 7 + 0*i - 12 as r*i + d and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/6*(-24)\/8. Let s be 96\/(-30) + h\/10. Let l = 7 + s. Solve -l*d + 1 = -5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6590 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*s**2 - 15*s**2 + s**3 + (1 + 1 - 3)*(-192 + 192 + 63*s**3) - 2*s - s**3 + 2*s + 6*s**3 - 4*s**3 - 3*s**3 + (4 - 4 - s**2)*(s - 4*s - s).\nAnswer: -60*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -71.5 + 39.16. Let h = w - -32. Round h to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3864340 is divided by 161012.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 24 = -j, 4*y + 2*j - 5*j = 8. Let v = -28 + 35. Let p = v + y. Solve 3*l = 2*n - l - p, -n - 5*l - 8 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = p + 3. Suppose 16 + p = 4*s + 3*q, -5*s + 29 = q. Let d(t) = -t**2 + 8*t - 5. What is the lowest common multiple of 6 and d(s)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 167*r + 6635. Determine x(65).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r + 145771 = -193616 + 51918. Does 161 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1788263 centuries to years.\nAnswer: 17.88263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2956 or 8872\/3?\nAnswer: 8872\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001353 rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3 = -17. Suppose 4*j - o = -4*m, 2*j + 0*m - 4*m = -2. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, t: 6, a: 2, v: 1}. What is prob of picking 1 t and 1 u?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-24)\/45)\/4)\/((-5)\/(-1155)*-22)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 8:34 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -82 + -23?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c14e0 (base 16) to base 13.\nAnswer: -21950b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.133 - 69.133. Let y = 73 + q. Which is the biggest value? (a) 0.03 (b) -5 (c) 5 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20199553 or 20199552?\nAnswer: 20199553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -374*u - 2331 + 461 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(168\/15)*416\/(-520)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**3 - 11424*h**2 - 3146852*h + 3158280 = 0. Calculate h.\nAnswer: -2547, -310, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 35*k - 136. What is n(26)?\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25986 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 15, -p - 3*p + 4*i - 8 = 0. Factor -p*m**2 + 2*m**2 + m**4 + 13*m**3 - 4*m - 14*m**3 + 5*m.\nAnswer: m*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-10 + -1 + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j - 2*j + 5*j)*(-49*j + 106*j + 110*j + 396 - 399) in the form o*j**2 + a + h*j and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-18) + (-8)\/48.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -304, -305, -306, -307, -308?\n\"Answer: -n - 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 12, 1\/10, 4\/9, -3?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -49*b**3 - 2*b**2 - b. What is the tens digit of r(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23001 and 15?\nAnswer: 115005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2589 is divided by 507.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 14*p**2 + 3*p + 11. Let j(f) = -5*f**2 - f - 4. Let v(s) = -s**2 + 7*s + 5. Let t be v(4). Let u(h) = t*j(h) + 6*y(h). Calculate u(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 84*u**2 - 1161*u - 51. What is l(14)?\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 4. Let s be 8\/6 + 4\/6. Put s, q, -1 in decreasing order.\nAnswer: s, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-12\/7)\/(g**(-4\/15)*g)*(g*(g\/(g*g**15)*g*g)\/g)**37)**(3\/44) assuming g is positive.\nAnswer: g**(-25381\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 437249382.09999718 - 437249390. Let i = v + 7.9. Round i to seven decimal places.\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yw when two letters picked without replacement from {m: 2, y: 2, w: 7}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**5\/7 + 23*r**3\/7 + 66*r**2\/7 + 68*r\/7 + 24\/7 = 0.\nAnswer: -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 10*t**3\/3 + t**2\/2 - t - 7. Is m(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 12 = -4*k, -4*f - 3*k - 4 = 3. Suppose f*b + 3*r - 5 = 2*r, -b = -2*r. Let s(n) = 0*n**2 - 6*n**b - 5*n**2. Let m(g) = g**2. What is s(m(j))?\nAnswer: -11*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 726.5164 times -0.39?\nAnswer: -283.341396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -881317*g**3 - 2*g - 8615020 wrt g?\nAnswer: -2643951*g**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -1 - (-5 + -15 + 18)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 = 163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a27 + 15?\nAnswer: a3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -29241 (base 10) to base 8\nAnswer: -71071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t = -16*t + 10 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((-42)\/7)*16497\/(-312)*(-4)\/18?\nAnswer: 47\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4325 = -2*h + 7199. Let t = 562 - h. What is t rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*t**2 + 70*t**2 - t**2 - t to the form p + s*t + k*t**2 and give k.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -341\/34 - -179\/17. What is the second smallest value in m, -77\/4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(11\/5 - (-12)\/(-6)). Let m be 92\/(-22) - 6\/(-33). What is the nearest to s in 0.2, 3, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/5 - 96\/20\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/16 of a hour?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 3)\/((-2)\/(-8)). Suppose m - 6 = -a. Find the common denominator of -59\/14 and (a - (-230)\/12)\/(-1).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 2291770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/10 + 5 - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-11 - -5) + 14\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16878?\nAnswer: 2, 3, 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*u = 35*u + 272. What are the prime factors of u?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 3*r**3\/5 + 132*r**2\/5 + 723*r\/5 - 1998\/5 = 0.\nAnswer: -37, -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121123.\nAnswer: 121123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -61 - 59. Calculate the remainder when 647 is divided by h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 274 + -131?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4*(-4 + ((sqrt(1872)*2 - sqrt(1872)) + 5 - sqrt(1872)) + sqrt(1872) - (-4 + 1*sqrt(1872))*-2))**2.\nAnswer: -8352*sqrt(13) + 270409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o - 6. Let u be t(-9). Suppose 7*k = u*k + 4*h + 80, 0 = -5*k - 5*h + 50. Solve k = -2*x + 5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 40\/15 + (-2)\/3. Let c = 73.8 + -67. Let z = -3.8 + c. What is the second biggest value in 2\/13, z, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 896\/77 + (1 - 13)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**2 - 2*m + 4. Let o(z) = -z - 1. Let l(c) = -g(c) - 2*o(c). Let h(x) = x**2 - x. Determine -4*h(k) - l(k).\nAnswer: -k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -2*r + 2*x, -r - 3*x + 247 = 3*r. Is r a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-945)\/(-3))\/(-21))\/(1*(-3)\/4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2521 (base 7) to base 6\nAnswer: -4214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/8 - (-175)\/20. Let w(l) = l**3 + 4*l**2 + 5. Let o be w(-4). Solve -4*n = -o*u - 3 + t, n = 2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 11*w - 30. Let j = 27 + -26. What is the remainder when p(8) is divided by (16 - 11)*j*3?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -12. Let o = -2169 + 2168.7. Which is the nearest to o? (a) 9 (b) g (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 697491841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 122.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13216620?\nAnswer: 2, 3, 5, 181, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q. Let n(k) be the first derivative of k**3 + 219*k - 9270. Give n(b(r)).\nAnswer: 3*r**2 + 219","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15327 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: Rearrange -5 + 249*v**3 - 7*v**4 - v**2 - 3*v + 289*v**3 - 538*v**3 to z*v**3 + s + g*v + h*v**2 + m*v**4 and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2868 divided by 166?\nAnswer: 1434\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1428 and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1047 + -507.8953. Let h = l + 257. Which is bigger: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 5*n - 3. Let q be p(-6). Let x be (26\/78)\/(7\/(-3)) + (-15)\/(-7). Let v(y) = -2 + q - 1 - 3 - x*y. Calculate v(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 349*l + 1722*l + 57*l - 690*l + 1076*l to the form v*l + y and give v.\nAnswer: 2514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 328 = 288. Let p(k) be the first derivative of -k**5\/120 + k**4\/2 - 8*k**3\/3 + 3. Let u(c) be the third derivative of p(c). What is u(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -133173, -266406, -399645, -532890, -666141, -799398?\nAnswer: -932661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -7. Solve -6*p - p + 28 = s for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45162, -90324, -135492, -180666, -225846?\nAnswer: -271032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6140315 and 54060?\nAnswer: 4505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 137986 by 5.\nAnswer: 137986\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**3\/5 - 1990*u**2 + 851916*u\/5 - 6862752\/5 = 0 for u.\nAnswer: 9, 78, 4888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and 0.572.\nAnswer: 4.572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*b + 420 = -87*b. What is the remainder when 6 is divided by (-8)\/28 + 96\/b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -158955, -159020, -159083, -159144?\n\"Answer: d**2 - 68*d - 158888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -0*a. Suppose -g - g - 72 = a. Does 3 divide (-172)\/g + 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44 divided by -28\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 110*p**2*s**3*u**4 - p**2*s**3*u**2 - 60*p**2*s + p*s**3*u**2 - 4*u**2 wrt u?\nAnswer: 2640*p**2*s**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 129323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 30, -75, 6 in ascending order.\nAnswer: -75, -3, 6, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 130328946, 260657892, 390986838, 521315784, 651644730, 781973676?\nAnswer: 912302622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1206\/7 + -172. What is the third biggest value in 4\/13, w, -2\/11, -2\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 415*f - 7587 = -15057 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + -0.0231466.\nAnswer: -1.0231466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + 8. What is the remainder when s is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-2\/25))**(-1\/60)\/(s**(2\/23)\/(s\/s**(-1\/11))))**(-12) assuming s is positive.\nAnswer: s**(-374169\/31625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5613195893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(26)\/(sqrt(10)\/sqrt(5)) + sqrt(13) + -1)*-3.\nAnswer: -6*sqrt(13) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/47 + -151\/235. Let q = 9 + -9.3. Which is the biggest value? (a) -0.2 (b) w (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 189937 and 3751?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 102? (a) -1482 (b) 1\/6 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/12 and 17\/348.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -5, 2, -7 in descending order.\nAnswer: 3, 2, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.968 to zero decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a8b - -30?\nAnswer: -1a5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-310)\/(-31)*4\/(-24)*3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 2*x**7\/21 - 14*x**6\/15 + 11*x**5\/5 - 5*x**4\/3 + 23*x - 156. Let f(s) be the first derivative of m(s). Solve f(u) = 0 for u.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -k + 7, -2*q + 0*k - 2*k = 2. Suppose p - 57 = -147. Does 3 divide (q\/(-5))\/((-12)\/p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2156346067?\nAnswer: 131, 16460657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -9*o**3 + 3*o**2. Let d(r) = 17*r**3 - 5*r**2. Let h = -548 - -551. Let g = -7 - -12. Calculate g*u(n) + h*d(n).\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -145, -299, -455, -613?\n\"Answer: -j**2 - 151*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2682 divided by 1\nAnswer: -2682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**5 - 6*s**4 - 2*s**3 + 8*s**2 + s + 2. Let k(y) = -3 - y**5 + y + 5*y**3 + 2 - y**2 - 3*y**3 - y**3. Let w(p) = c(p) + 2*k(p). Factor w(n).\nAnswer: -3*n*(n - 1)*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8775.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -60, -60, -54, -42?\n\"Answer: 3*q**2 - 9*q - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1134 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 110110 (base 2) in base 4?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**4 + 8*c**3 - 12*c - 6*c**2 - c**3 - 5*c**3 + 10 - 9 - 3 to the form n*c**3 + f*c**4 + w + k*c**2 + o*c and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/67)*k)\/k**(-4\/5)*(k*k*k**(3\/23)\/k)**(-3\/37) assuming k is positive.\nAnswer: k**(482768\/285085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 6 = -4*w, 2*o + 2 = w + 7 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 7*r**2\/2 + 10*r + 9. What is the first derivative of i(c) wrt c?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-9) + (-280)\/(-60))\/(-2)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10129 and 1593068862?\nAnswer: 10129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 199.999857 - 200. Round o to 5 decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -12*w - 13. What are the prime factors of k(-8)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218008.\nAnswer: 2, 7, 17, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 239*x + 52*x**3 - 239*x + (3 - 6 + 2)*(2*x**3 - 2*x**3 - 2*x**3) + (5*x**2 - 5*x**2 - x**2)*(2*x - 2 + 2) + 629*x**3 - 794*x**3 - 306*x**3.\nAnswer: -419*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {p: 1, h: 2, l: 1, m: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11014 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: What is the greatest common divisor of 18 and 1278?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/2*((-6)\/(-27))\/((-80)\/(-48)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 349 divide 18032481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 25*k = 146, 4*k - 7 - 11 = 4*n + 54 + 4 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 236 in -0.4, 12, -4?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01379 to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 5) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - d**2 + d + 13. Let k be n(0). Let j = -9 + k. Calculate the lowest common multiple of j and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -x**6\/120 + x**5\/10 - 11*x**4\/24 + x**3 - 21*x**2. Suppose p(m) = 0. Calculate m.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + (6 - 22 - (-27 + -7))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-202)\/(-16) + (756\/(-224))\/(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/(-27)*(-24)\/28?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l + 15. Let g be h(-10). Suppose -j - 5*v = 2, 0 = -3*j + 2*j + g*v + 48. Is j a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -92.8? (a) -5 (b) -2 (c) 31 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10\/3 + 17\/6. Calculate the common denominator of n and ((-70)\/(-12))\/(-5) - 534242\/(-658920).\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22*-3528681\nAnswer: -77630982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20011001112 (base 4) in base 5?\nAnswer: 1020231333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 4*h + 2. Let q be 2 - 10*(-10)\/(-4). Let z = 24 + q. Let s(b) = b. Calculate z*i(t) + 6*s(t).\nAnswer: t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -7*q + 5*q - q - 4 + 6*q**2 + 3. Let j be v(-2). Suppose -r = 2*f - 31, -3*r - f = -2*r - j. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 15*j**3 + 3782*j**2 + 502*j - 507. Calculate x(-252).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 592*j**2 + 9 + 5 - 11 in the form n + x*j + m*j**2 and give m.\nAnswer: -592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -6*q - 56. Let m be t(-10). Which is the closest to -2? (a) -0.2 (b) m (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 1350 = -12*d - 10*d. Calculate the remainder when 371 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -7*n**2 + 2*n**2 + n**2 + 2*n**2. Let t(x) = -18*x - 12. Let q(l) = 250*l + 168. Let o(b) = -2*q(b) - 28*t(b). Calculate h(o(p)).\nAnswer: -32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -518 or -519?\nAnswer: -519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 12 = 2*w, -8*b + 13*b = 4*w + 9 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -15. Calculate the remainder when (-486)\/(-15) + h\/15 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 25, 51, 77, 103, 129, 155?\n\"Answer: 26*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*r + 82 - 82)*(5*r + 7 + 1 - 4*r) - 2*r**2 + 0*r**2 + 6*r**2 in the form n*r + c + a*r**2 and give n.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -858\/430063 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 21 + 1 = 0. List the prime factors of 1 + 0 - j\/((-77)\/1050).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/3))**45)**35 assuming j is positive.\nAnswer: j**1050","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0463 + 31.0537. Let z = 31 - y. Let x = 0.107 - 0.007. Sort x, z, -1 in ascending order.\nAnswer: -1, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -62.36 * 0.3.\nAnswer: -18.708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + -299. Let o = 733 + t. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 11*q**2 - 7*q + 1. Let z be m(8). Let u = -27 - z. What are the prime factors of u?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -451*x. Let o(l) = 4495*l. Calculate o(i(b)).\nAnswer: -2027245*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.047502 and 0.12.\nAnswer: -0.00570024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-82)\/205*30\/(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 times 2208?\nAnswer: -35328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u\/u**9)*u*u**9*(u\/(u**3\/u))**(-11\/7) assuming u is positive.\nAnswer: u**(144\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*d = -26*d + 3. Let f be ((-3)\/(-21) + -2)\/(-1). Is f less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**4\/5 + 72*s**3\/5 - 13206*s**2\/5 + 26188*s\/5 - 13056\/5 = 0?\nAnswer: -102, 1, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 5*g - 22 = -2*l, -4*g - 19 = -5*l. Solve l*a = 12*a + z - 10, -31 = -2*a + 5*z for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 1512945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 - 1 - 4*r**2 + 2*r**2)*(-527*r - 379*r - 240*r).\nAnswer: -1146*r**3 + 1146*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 427448 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0)**(-42)*a\/a**5*a\/a**5*((a*a**(5\/3))\/a)\/a*a**(1\/9)*(a*a**(-1\/3))**(2\/77) assuming a is positive.\nAnswer: a**(-4993\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27101286 is divided by 1643?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -2*c**3\/3 + 7*c**2\/2 - 6*c + 1. Let b be q(4). Let r = 786 - 3179\/4. Is r greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*o = -77, -o = -2*r - 6*o + 107. Let p = r - 41. Suppose -2*x - p*y = -y - 3682, -3*x - y + 5538 = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13)\/(-21) + (-2)\/7. Let c = 3 - 1. Let 2\/3*t + 1\/3*t**c + p = 0. Calculate t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (20\/(-3))\/(5\/(-60)). Suppose -5*w + y = 5*x, x + 12 = 4*w - 72. Suppose -4*i + w = -0*i + 2*f, 0 = 5*i + f - 22. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*h = 114*h + 1387 + 1453 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/45 + 7\/45. Let f(w) be the second derivative of s*w**5 + 0 + 0*w**2 + 0*w**3 - 1\/5*w**6 - 5\/21*w**7 + 0*w**4 + 2*w. Factor f(m).\nAnswer: -2*m**3*(m + 1)*(5*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.253 + -0.753. Suppose f - 6 = h, f + 3 = 4*h + 6*f. Which is the nearest to -5? (a) 1 (b) h (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -1613 + 1681, 98 = -10*g + 2*n for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.23 in -3, -2\/241, 3, 81, 2\/11?\nAnswer: -2\/241","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 10 - 2 = 0. Suppose -2*v - 2*m - 49 = m, -5*m - 101 = d*v. Let n = v - -57. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h**2 - 26*h - 22. Let n(z) = 4*z**2 - 25*z - 21. Let j(r) = -4*n(r) + 3*o(r). Let u be j(23). Sort -2, u, -4 in decreasing order.\nAnswer: -2, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2556814 - 184.758?\nAnswer: 2556629.242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -210.887 - 12.893. Let x = v - -199.6. Let i = -25 - x. Round i to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2 + 1434180*t + 257109034050.\nAnswer: 2*(t + 358545)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 792 is divided by 413.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6\/23 - -127\/46. What is the second biggest value in c, 1\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1583313, -3166677, -4750041, -6333405, -7916769, -9500133?\nAnswer: -11083497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 5. Let g be -1 - 1\/(1\/k). Suppose 2*v + 2*b - 20 = 0, 9 = -3*v + 4*v + g*b. Calculate the remainder when 21 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4 = -g, g = -c - 0*g + 1. Let i be 33 - ((-1 - c) + 1). Let q = i - 29. Calculate the remainder when q is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124700.79 nanoseconds to minutes.\nAnswer: 0.0000020783465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2296 and 1237544?\nAnswer: 1237544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -5*r**4 + 1740*r**3 + 47925*r**2 + 259360*r + 213180 = 0.\nAnswer: -19, -6, -1, 374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 96*n + 590. What is p(-7)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 11. Suppose -4*u = 5*k - 44, -q*u + 35 = 4*k - 2*u. Solve 2*a + 2*a = -k for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -29*m + 159. Suppose 4*a = -15*a + 95. Calculate the remainder when 37 is divided by s(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-144)\/1932)\/((-31)\/((-3472)\/(-32))).\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -215424 divided by 3366?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 61*n + 401. What is w(7)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 14*k + 10. Let y be j(13). Let r be (4\/(-8))\/(y\/(-18)). Does 12 divide 52 + (-1)\/(r\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 6136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 10:51 PM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/220 and 103\/264.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -k + 7, 0*k + 2*k - 3*u = 0. Let m = k - 2. Suppose -5 + m = -2*l. Solve f + 4*r = 2*f + 15, l*f = -r - 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-28)\/24)*(-2)\/(-7).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5329900119.\nAnswer: 3, 379, 619, 7573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -424 + 465 + (-13 - -21).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11.8 - 2.4. Let v = 0.39 + 8.61. Let u = v - g. Which is the third smallest value? (a) 4 (b) -5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 2\/5, 1, 2, -0.00298, -24\/5, -3, 0?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*o - 3. Is 0 + o\/9 + (-6335)\/(-45) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246 = 8*o - 14*o. Let a = o + 80. Suppose -150 = -r + 3*p + a, 194 = r - 4*p. List the prime factors of r.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -589*g**6\/3 - 17*g**3\/3 + 25*g - 1090. What is the third derivative of w(y) wrt y?\nAnswer: -70680*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 0.2 (c) -0.7 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ymm when three letters picked without replacement from {y: 2, m: 11}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -264*v**2 - 178*v - 368 - 282*v - 568 + 268*v**2.\nAnswer: 4*(v - 117)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -4, -12, -22, -34?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -11*g + 36. Let w(h) = 11*h - 38. Let r(n) = 6*j(n) + 5*w(n). Let c be r(2). Let u(v) = v**3 - 6*v**2 + 5*v - 4. Determine u(c).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 + 36 = 2*r - 13*h + 9*h, -36*r - 40*h - 1100 = -32*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 5:10 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-34)\/(-187) + (-47)\/561. Let m = v + 4\/17. What is the closest to 1 in 5, -5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 2782?\nAnswer: -2786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 47595*y**2 + 2 - 47599*y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8296?\nAnswer: 2, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105596037.\nAnswer: 3, 1619, 7247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 42338 minus 34694?\nAnswer: 7644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -57, 2, 117, 306, 587, 978?\nAnswer: 1497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = -5*g + 272. What is the greatest common divisor of 28 and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, -1, -0.1, -2\/3, 4861, 1 in increasing order.\nAnswer: -1, -2\/3, -0.1, -0.05, 1, 4861","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -679, -1532, -2955, -4948, -7511?\nAnswer: -10644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 691 - 513 + 105*n - 178 - 1513*n - 280*n.\nAnswer: -1688*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 3.3, -2\/5, -3\/7, 0.03.\nAnswer: -4\/3, -3\/7, -2\/5, 0.03, 3.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6.1, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 40\/3*(-138)\/(-115). Is (-4)\/((-192)\/18) + 490\/z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f - 20. Let d(q) = 4*q + 19. What is -2*d(z) - 3*w(z)?\nAnswer: z + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332582 is divided by 19?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**(22\/7))**19 assuming j is positive.\nAnswer: j**(-152\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 276*l**2 - 68?\nAnswer: 552*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*sqrt(5000) - sqrt(5000)) + (1 + sqrt(72))**2*-1.\nAnswer: -74 + 38*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -35, -116, -255, -464?\nAnswer: -755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-10)*(-40)\/(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.53 - -0.18. Let y = q + -0.710232. Round y to five dps.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -u + 4, -4*u + l - 4*l = -2. Suppose -i + 4 = u. Find the third derivative of 5*t**2 + t**i - 8*t**2 + 3*t**6 wrt t.\nAnswer: 360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189402 is divided by 47257?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/7 (b) -11 (c) -133 (d) 2 (e) -0.28 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 26316 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 415*i - 114402 = -123947 for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 362097 is divided by 576.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 28*u**2 - 28*u - 14. Let h be s(-27). Let y(w) = 7*w - 19. Does 6 divide y(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 13 + 11*i**2 + 8*i**2 - 11*i**2 + 6*i. Let k = 109 - 115. Is d(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -1267*h**3 + 5*h**2 + 5*h. Let z(g) = 2*g**3 - g**2 - g. Give k(w) + 5*z(w).\nAnswer: -1257*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = 7*b + 282. Suppose 0 = 7*c - 2*c - 10. Suppose 1 = -c*t + b. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 14*x. Let n(u) = 10*u**2 + 7*u + 7. Let f(g) = -3*g**2 - 2*g - 2. Let v(w) = -7*f(w) - 2*n(w). Calculate k(v(r)).\nAnswer: 14*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of 1\/3*d**4 - 12*d + 0*d**2 + 4\/3*d**3 + 0. Determine b so that p(b) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -2 + 10. Solve -j*y + r - 9 = 0, -3*y = -6*y - 3*r - 18 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3\/2 (b) -1.1 (c) -1.2 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1500))\/sqrt(432))**2 + -4.\nAnswer: -19\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 21.9 (b) -2 (c) 4 (d) 0 (e) 0.021\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0223 + -302.4223. Let n = b + 73.2. Round n to the nearest ten.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 - -37. Suppose -2 = 5*p + 2*b - 6*b, 4*b - s = 0. Let v be 2\/(-7) + 88\/14. Solve p*z + z = v for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -4, 5, -313839, -2 in descending order.\nAnswer: 5, -1, -2, -3, -4, -313839","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 + 2*x**2 - 3*x**2)*(5*x - 8*x - 20*x + (1 + 0 - 3)*(3*x - 2*x - 2*x)).\nAnswer: 84*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 2*c**2 - c - 1. Let r = -27 + 13. Let l = -17 - r. Determine d(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (285 - 321) + -5 + 2 + 0 + 1?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.747847 centuries in years?\nAnswer: 674.7847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -20*l**2 - 1185*l + 312. Calculate the remainder when s(-58) is divided by 302.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -d**5\/5 + 15*d**2. Let a(l) = 6*l. Determine a(h(u)).\nAnswer: -72*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggl when three letters picked without replacement from glglggllgg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/18)*d)**(-18\/13) assuming d is positive.\nAnswer: d**(-19\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000248 to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-328)\/((-15)\/((-885)\/472))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4720 = 3*c - 2495. What is the highest common factor of c and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.163 and -0.086.\nAnswer: 0.077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1274 and 1638.\nAnswer: 11466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 16432 * 0.15\nAnswer: 2464.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 0.13 (c) 5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.715265631 rounded to 1 decimal place?\nAnswer: 6.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**5 - 5 + 5 + (-4 - 2 + 5)*(-2 - 4 + 5)*(-6*p**5 - 2*p**2 + 2*p**2).\nAnswer: -7*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 282*u + 838*u + 1249*u.\nAnswer: 2369*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4606 divided by 1\nAnswer: 4606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 95914 divided by -119?\nAnswer: -806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(3 + (-7)\/(-1)). Suppose -35 = -2*l - 3*l. Let m = t + l. Put 5, m, -4 in increasing order.\nAnswer: -4, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y - 16. Let a be h(-10). Suppose -a = x - 7. Let b(s) = x*s**2 - 6*s**2 + 0*s**2 + 0*s**2. Let l(m) = -4*m**2. Give b(l(r)).\nAnswer: -48*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20\/47, -4, 2, 8, 3\/5 in ascending order.\nAnswer: -4, -20\/47, 3\/5, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 3986000 to the nearest ten thousand.\nAnswer: 3990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/18 and -137\/900.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k**2 - 5*k + 1. Give g(5).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4390572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 34487799 a multiple of 265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**4 + 2*k**4 - 3*k**4)*(-4*k - 2*k + 5*k) + 183*k**4 - 46*k**5 - 183*k**4.\nAnswer: -47*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55\/275)\/((-470)\/50 + 12).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3959 - -3959.5. What is the closest to -0.1 in 6\/41, d, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**3 - 3*r**2 - 4*r - 4. What is x(-3)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 1358 (c) -0.1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 24383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9 + 6487055?\nAnswer: 6487057.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + 0)**2 + -4)*-2 + sqrt(15)\/(sqrt(720)*-3).\nAnswer: -sqrt(3)\/36 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -570 divided by -114?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x**3 - x**3 - 6*x**2 - x**2 + x to r*x**2 + c + g*x + d*x**3 and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - s = 152, 152*t - 147*t - 3*s = 376. Calculate the remainder when 289 is divided by t.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382 is divided by 313.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3249\/6840*-30)\/(1\/(-3)*9\/(-12)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -7*x**2 + 3*x. Let y(c) = 4235*c + 48*c**2 + 4225*c - 8480*c. Give -40*u(z) - 6*y(z).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 367.6 * -21.\nAnswer: -7719.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 160 - 34. Let a = y + -89. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 1:19 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10924.962 rounded to the nearest 100?\nAnswer: -10900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 20 = 0, -3*c = -3*m - 6*c + 60. Calculate the remainder when 164 is divided by m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**4 - a**4 + 3*a**2 - 2*a**2 - 3*a**4 + 3*a**4 - 5*a**4 + (-2 + a + 2)*(2*a**3 + 0*a**3 - 3*a**3) + a**4 + a**4 + 0*a**4 + 6*a**4 - a**4 - 4*a**4.\nAnswer: -4*a**4 + a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, 53\/5, 11.9, -1\/3 in descending order.\nAnswer: 11.9, 53\/5, -1\/3, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (-9 - 0) - -8?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c + 2. Suppose u = 4*u + 9. Suppose -8 = 4*k + 4*h, 4*k - 4*h + 22 = -10. Let n(j) = -2*j - 3. What is k*o(q) + u*n(q)?\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*s + 2. Suppose k = s*k - 11. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 4)*(-468*q + 1 + 226*q + 223*q).\nAnswer: 19*q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74976 and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20095 + 20095 + 978*n)*(5 - 3 - 4 - n) as p + h*n**2 + d*n and give h.\nAnswer: -978","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 237361615 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-9)\/(d\/(d*(d**(4\/15)*d)\/d))*(d\/(d**(9\/5)\/d*d))\/d**5 assuming d is positive.\nAnswer: d**(-218\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3895700740 to the power of 1\/3, to the nearest integer?\nAnswer: 1573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12.3 and 2.43.\nAnswer: 29.889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 3. Suppose 0*w = -d*w - 5. Let t(i) = 3*i + 2. Let m(v) = v + 1. Let a(f) = -4*m(f) + 2*t(f). Calculate a(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - ((19 - -1) + -18 + 16 + -45)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.55 and 0.87327.\nAnswer: 0.32327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 6*k = -64, -5979*t + 26 = -5978*t - k for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7836 - -12509. List the prime factors of k.\nAnswer: 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 - 10. Suppose -4*p - 5*w = -o, -1 = 2*p + 3*w - 6. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 204, 95, -84, -333?\n\"Answer: -35*l**2 - 4*l + 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = -5*q + 373. Suppose q = 4*p - 0*p. What is the greatest common divisor of p and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 244512 and 14716?\nAnswer: 3178656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 22*s**2 + 17*s - 49. Let l be y(-21). Suppose -q = l - 135. Suppose -3*w = -q - 131. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a + 5*a**2 - 2*a)*(-2 + 5 + 1) as x + h*a + p*a**2 and give p.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -5*g**4\/24 - g**2. Let j(x) = x**2. Calculate b(j(a)).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yhuyyhyhhzyqhqhhyyhh. Give prob of picking 3 h.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.07, 0.023, -0.21, -4, -2\/3, 3\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 2)*(0*m + 2*m - 4*m)*(6 - 1 - 4)*(7*m - 3 - 6*m + 6) to k + q*m**2 + p*m and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217871488?\nAnswer: 2, 1702121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*b + 2, -b = -4*z - 6*b + 35. Solve 5*y - 2*a = -21, -6*a = -y - a + z for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a0 - 28?\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 347876576 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, -58, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 15*g**2 - 3*g + 28. Let n be 4\/6*8*3. What are the prime factors of x(n)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7405\/2377 or -3?\nAnswer: -7405\/2377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*x + 7*x + 28. Which is greater: x or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 7*a**2 + a + 7. What is the units digit of v(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0*o = 0. Suppose o = -6*u + 2*u. Suppose -226*d - 10*d + 2358 = 157*d. Solve u = t + t + d for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 176 and 36014.\nAnswer: 288112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*u**2 + u + 0*u + 5*u wrt u.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(-3)*(-6)\/(-7)*-7. Let k(l) = -l**2 - 13*l - 8. Let i be k(w). Sort 4, i, 0.03 in ascending order.\nAnswer: 0.03, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 90*c + 1164. Let i be y(-13). Let z(p) = p**2 + 5*p - 3. Let k be z(-5). Is 15 a factor of (2 + k)\/(i\/114)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 631 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**3\/13 - 64*m**2\/13 - 232*m\/13 - 224\/13 = 0 for m.\nAnswer: -28, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160212.\nAnswer: 2, 3, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 541*t**2 - 3. Let w(r) = -1623*r**2 - r + 7. Let p(h) = 7*b(h) + 2*w(h). Is p(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/459 and -47\/54.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2. Let d(t) = 7*t**3 - 48*t**2 - 11*t + 30. Let u be d(7). Let p(w) be the first derivative of 0*w + 24 - 9\/2*w**u. Determine p(j(z)).\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-34)*(-2 + 10\/6).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 - 0.7. Let s = q - -0.4. Let i = s - 0.4. Put 4\/5, -3\/4, i in descending order.\nAnswer: 4\/5, i, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**2 - w**2 + 3*w**2)*(-1 + 1 + 1) + (5*w**2 - 4*w**2 - 3*w**2)*(1 + 2 - 2).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 425152 and 1606.\nAnswer: 4676672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -32, -34, -40?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 757+-6.144445\nAnswer: 750.855555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-4)\/k*k**(-1\/3))\/(k**1)**12)**(-2\/47))**(6\/17) assuming k is positive.\nAnswer: k**(196\/799)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -30906375?\nAnswer: -30906372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -74, -87, -112, -155, -222, -319, -452?\n\"Answer: -c**3 - 6*c - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 51.9 in 0.4, -2\/5, -0.1, 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*q + 26 + 9 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 337134970*b**4 + 16*b**2 - 7708*b + 88.\nAnswer: 8091239280*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 120 = -3*d. Suppose 0 = x + 4*x - 375. What is the highest common factor of x and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jy when two letters picked without replacement from jyyyjjyyujyu.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -352 = 38*u + 129 - 63 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 35. Let v(f) = -42161*f**2. Determine u(v(k)).\nAnswer: 1777549921*k**4 - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -4\/3, -0.2, -171290 in increasing order.\nAnswer: -171290, -4\/3, -0.2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -3*d, -d + 12 = 2*x - 5*d. Suppose -34 = -8*w - x. Put 1, -14, w in decreasing order.\nAnswer: w, 1, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(102) + sqrt(102) + sqrt(102)*-2)*4)\/sqrt(6))*-6.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -338.0110011 - 0.4\nAnswer: -338.4110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 74981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4*c**3 + 47*c**2 - 5*c + 5. Let t(z) = -6*z**3 - 71*z**2 + 8*z - 8. What is -8*g(f) - 5*t(f)?\nAnswer: -2*f**3 - 21*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a decade?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (40 + -6)*1\/5. Let g(t) be the first derivative of b*t**5 + 4 + 22\/3*t**3 + 21\/2*t**4 + 0*t + 2*t**2 + 5\/3*t**6. Let g(m) = 0. What is m?\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h + 1. Let q(v) = -v**2 + 8*v - 3. Let k(l) = -3*q(l) - 5*t(l). Let w be 1 + 1 - -2*1. Let x(y) = y - 1. Calculate w*x(g) + k(g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 9668 divided by -1\nAnswer: -9668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 545.23503 microseconds in days?\nAnswer: 0.000000006310590625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1056 - -1?\nAnswer: -1055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*h - 2)*(-h**3 + h**3 + h**4) + 13*h + 29453 - 29453 - 11*h**5.\nAnswer: -13*h**5 + 13*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, 1, -4 in increasing order.\nAnswer: -30, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6882 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2358?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.540413um to meters.\nAnswer: 0.000006540413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of y**7\/210 - 4*y**6\/15 + 101*y**5\/20 - 215*y**4\/6 + 374*y**3\/3 - 1156*y**2\/5 - 2842*y. Determine k, given that o(k) = 0.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2438 - 2402. Solve -m = 3*a - 4*u - 64, -u + 8 = 3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 19 = -y + 5, 0 = -r - 3*y. Suppose 124 = r*s - 2*s. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**5\/4 - 3*t**4 - 15*t**3\/4 - 3*t**2\/2.\nAnswer: -3*t**2*(t + 1)**2*(t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 534*0.1.\nAnswer: 53.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 51.9, 45, 0, 0.3?\nAnswer: 51.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -11. Suppose 0 = r*v - 53 + 29. Calculate the least common multiple of 30 and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24518 (base 9) to base 10\nAnswer: 16460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i*i**(-3\/4)\/i*i)\/i*i*i\/(i*(i**(-2\/7)*i)\/i))\/((i\/i**(-3))\/(i*(i\/(i*i*i\/(i*i**(3\/5))))\/i*i)))**(7\/6))**(-9) assuming i is positive.\nAnswer: i**(783\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -1905, 2 in ascending order.\nAnswer: -1905, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/114*(-103)\/((-103)\/9).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1*4\/10*(3199400\/816)\/(-941)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 0*l + 3*c - 27, 3*l + 4*c - 14 = 0. What is the smallest common multiple of l and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*g + 16*g = 12384. What is the greatest common factor of g and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 2:16 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**2 - 14*v + 6. Let x be i(10). Suppose 0 = -3*o + 5*m + 72, 3*o - 2*m = m + x. What is the highest common factor of o and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/3 of a day?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3293310.\nAnswer: 2, 3, 5, 151, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 6:39 AM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5 = -2*l, -5*l + 3*u - 8 = 7. Let h = l + 40. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -19*r. Let s(y) = y**2 - 5. Let h(q) = 1. Let z(v) = -5*h(v) - s(v). Determine o(z(b)).\nAnswer: 19*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/7*3\/(-2). Let k = 2\/11 - -8\/77. Factor k*a**2 + 4\/7 - o*a.\nAnswer: 2*(a - 2)*(a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w - 10. Suppose 5*r - 5 = 45. Let b(c) be the second derivative of -c**2\/2 + 751*c. Determine r*b(q) - k(q).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 2, -18 in decreasing order.\nAnswer: 2, 0, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163 = -14*l - 37. Let s(a) = -a**3 + 10*a**2 - 13*a + 6. Determine s(l).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*c**2*d*u - 301*c**2*d - 22*c**2*u + 6*c*d*u - 13*c*u - 2520*d*u wrt c?\nAnswer: -58*d*u - 602*d - 44*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17*-28*(-2)\/56?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/7))**(-1\/2)\/(h**(2\/7))**(-2\/11)*(((h**(-4\/5)\/h)\/h)\/h*h*h**(-9))**(4\/33) assuming h is positive.\nAnswer: h**(-1427\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -31 divided by 503\nAnswer: -31\/503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -318*u - 67. Let g(f) = -1898*f. Calculate g(m(y)).\nAnswer: 603564*y + 127166","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56 by -2.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134886?\nAnswer: 2, 3, 22481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rlnqnnuluqlnnrnlr. Give prob of sequence nnn.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -10\/4113 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/256*2)\/((-42)\/(-1120))*(-92)\/10?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*h - 65*h + 83*h - 136*h.\nAnswer: -249*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4357724 (base 9) to base 16.\nAnswer: 23ba20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 1626, 3, -2 in decreasing order.\nAnswer: 1626, 5, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 197 - 124. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 8, r - 8830 = -24*m + 22*m. Does 20 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1377 - 1375) + -2 + -22.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 1 + -4 - 4 - -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + p + 1. Let k(t) = -t**3. Let a be k(-1). Let h(r) = -3*r**2 - 5*r. Let x(z) = a*h(z) + j(z). Does 8 divide x(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z. Let b(s) be the second derivative of -s**6\/144 - s**5\/60 - 7*s**4\/3 + 24*s. Let l(p) be the third derivative of b(p). What is r(l(x))?\nAnswer: -5*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dk when two letters picked without replacement from ddkk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**2 - 7*h**2 + 60*h**3 + 3*h + 5*h**2.\nAnswer: 60*h**3 + 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132220.\nAnswer: 2, 5, 11, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 + -19. What are the prime factors of y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -205\/882 not equal to 1\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j - 1 - 3*j**2 + j**2 + j**3 - 9*j**2 to the form w*j + k*j**2 + r + z*j**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/13, 0.5, -1, -6?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/2))**(-31)\/(a*a*a**1)**(-25))\/(((a*a**(-4))\/a**3)\/((a*a**(1\/2)\/a)\/a)**(-20)) assuming a is positive.\nAnswer: a**(213\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 90 = -m + 61, -39*a + 193 + 153 = -5*a - 7*m for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -0.0853.\nAnswer: -0.1706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from stmktsktsklsss. What is prob of picking 1 s and 1 m?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -93.2279711 to one dp.\nAnswer: -93.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -85857 + -257?\nAnswer: -86114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -3\/10*i**4 + 0*i**3 + 2\/25*i**5 + 4\/5*i**2 - 1 + 0*i. Factor z(v).\nAnswer: 2*v*(v - 2)**2*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 384360 divided by -5?\nAnswer: -76872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 33 = 3*m + 2*m, m - 1 = -4*b. Suppose 0 = -42*j - 137 + 53. Let s be j - (3 + m) - -2. Solve -2*v + 5 + s = -3*p, 5*p = 5*v - 20 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -1b7645?\nAnswer: -1b7647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 1\/(-4))*1\/5. What is the nearest to j in -2, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7814.108 years to months.\nAnswer: 93769.296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of u**6\/120 - 2*u**5\/15 + u**4\/12 + 7*u**3\/6 - 21*u**2. Suppose 3*f - 31 + 7 = 0. Let g be o(f). Is g != 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence agz when three letters picked without replacement from azzcwzzzzggg.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 8*z + 22. Let h be a(10). Suppose 0 = 2*m + h*q - 10, q + q = 10. Solve -o + 4*o = m for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3601 = 3606. What is the highest common factor of k and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*((-5)\/2 - -1). Suppose b = 3*a - 36. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 11, q: 9}.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**4 + 16*z**3 + 24*z**2 + 16*z + 4.\nAnswer: 4*(z + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 9 - 21 = 0. Let a be (-6*1\/t)\/((-2)\/(-12)). Let r(s) = a*s**2 - 5*s**2 + 1 - 4*s**2 + 4*s**2. Give r(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 997 + 11648. List the prime factors of r.\nAnswer: 3, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3356 = t, -53*j + t - 1122 = -54*j. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 0.2, 843.5, 1\/133?\nAnswer: 1\/133","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -113 - -116. Does 30\/19 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kyopjjph. What is prob of sequence okj?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1260945476 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**4\/5 + 902*b**3 + 63468*b**2\/5 + 145472*b\/5 - 580864\/5 = 0 for b.\nAnswer: -8, 2, 2269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10408 - -10410. What is the nearest to 6\/67 in 23, h, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 359 and -0.4.\nAnswer: -143.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 2*n - 155, -n - 757 = -0*a - 5*a. Let t = a + -56. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5\/4 of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 0 - 30 - -97?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 206381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40814 = 5*j + 3*l, j + 3*l = 6*l + 8152. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 8:05 AM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*t = -34*t + 17570 - 5844 for t.\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 16 + 20)*(3*q**4 - 3*q**4 - 3*q**4) in the form d*q**2 + l*q**3 + j*q + k*q**4 + w and give k.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (88\/374*2\/8)\/(23\/46). Factor 0 - 2\/17*r**3 + 4\/17*r - a*r**2.\nAnswer: -2*r*(r - 1)*(r + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of 1\/15*k**5 + 1\/18*k**4 - 1\/126*k**7 + 0 + 0*k**6 - 1\/3*k**2 - 1\/6*k**3 + 2*k. Solve o(b) = 0 for b.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 6*j**2 + 8*j + 6. Suppose -v + 4 = 10. Let t be f(v). Let r = t - -979. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 542000 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 7*f**6\/20 + 2*f**5\/5 - 8*f**2 + f - 22. Let d(p) be the first derivative of o(p). Find the third derivative of d(z) wrt z.\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/((-6)\/(-3)))\/((117\/(-26))\/9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111122 + -12122102?\nAnswer: -20011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 23 from -14038.\nAnswer: -14061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-4))\/(24\/(-7744)). What is the highest common divisor of g and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21667 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 12*c**2 - 2*c + 9. Let r be a(-11). Let l = r - -127. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 63 = -5*p, -4*l - 41 = p - 4*p. Suppose 0 = 4*q + g - 7, 4*g = -7*q + 4*q - p. What is the greatest common factor of 21 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -84319 - -8?\nAnswer: -84311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69246*f**2 + 485*f + 81 wrt f.\nAnswer: 138492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -7 times 10950117\nAnswer: -76650819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.1 - 5. Let u = -2680029\/40 + 67006. Let v = 27\/5 - u. Put v, 4, y in increasing order.\nAnswer: y, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*w + 16 + 10, -5*w - t + 15 = 0. Suppose -f - p + w = 0, 5*p - 8 - 12 = -3*f. Solve 4*a - 3*a = f for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 7) in base 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 122269382 to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 - (5 - -4 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 235 - 4362?\nAnswer: -4125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2159 greater than or equal to 92876\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 521480 + -59969747\/115. Let d = 16\/5 - j. Let p = d - -733\/276. What is the common denominator of -40\/9 and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-3) + 3\/(-9). Let c = p - -9\/4. Which is smaller: c or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -187 + 189. Solve -9*c + 2*c = o*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 588805 and 105.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s**(-22)*s)*s\/(s\/s**31) assuming s is positive.\nAnswer: s**53","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001221832685 rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 4*t = 11 + 1, 2*t = 10. Solve -1 = -v + 3*s, 4*s = -a*v - 1 - 17 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 592*n - 7080. List the prime factors of y(18).\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*a - 18*a - 3 - 21*a.\nAnswer: -13*a - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -30\/12247 and -59\/21738425.\nAnswer: 21738425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 13*y**2 - 145*y + 122. Give l(6).\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4*m**2 - 253*m - 30. Let d(p) = 4*p**2 - 252*p - 36. Give 5*d(a) - 6*w(a).\nAnswer: -4*a**2 + 258*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k**2 + 9*k + 4. Suppose -2*u + 61 = 75. Let w(i) = -3*i - 11. Let s be w(-5). Let j(x) = -5 + 8 - s - 2*x**2 - 5*x - 1. Determine u*j(a) - 4*d(a).\nAnswer: -2*a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -7637000 to the nearest 100000.\nAnswer: -7600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/693744 and -41\/50064.\nAnswer: 4856208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002736 to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-20)*(-7)\/(14\/8).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19707 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.09 + -2.91. Let p be (1 - (-36)\/(-32))*-2. Let z = -7.56 - -7.96. Which is the second biggest value? (a) z (b) p (c) -0.2 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5350 + 6394 = 3915*p - 2437 - 1479. Solve 11\/6*q**2 + 7\/6*q**3 + 5\/6*q + 1\/6*q**p + 0 = 0 for q.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 212*i - 36490 + 28434 for i.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 4.3. Let s = 2 + a. Let n = -210174 - -210179. What is the second biggest value in n, s, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q + 2*q + 6*q + (-31 + 12*q + 31)*(-4 + 1 - 1).\nAnswer: -42*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.93 + 0.07. Let k = 23298432.9999983 + -23298437. Let s = k + o. What is s rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1036815 a multiple of 169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*w**3 + 117*w**2 - 38*w**3 - 366*w**2.\nAnswer: -2*w**3 - 249*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3838 and 1615.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*v - v + 251 - 1851. What is the highest common factor of v and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 387 = -4*s - 4*b + b, 2*s + b = -191. Let u = -167 + 137. Find the common denominator of 47\/4 and (s\/u)\/((-12)\/10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xcvlnjlvljjnjnj. What is prob of sequence jx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) 103 (c) -100 (d) 2\/5 (e) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(0 + 0 + 10)*(-2*w + w - w).\nAnswer: -40*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 582, 1944, 4080, 6990, 10674, 15132?\n\"Answer: 387*f**2 + 201*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 32*z + 1662. Determine y(-51).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -165282 times -0.2\nAnswer: 33056.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/8, -2\/11, -2\/33?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/3164 and 99\/15368?\nAnswer: 107576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -93 + 97. Let b(l) be the first derivative of -l + 7\/2*l**2 + i. Give b(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (400\/(-1))\/(-2) - 3\/1. Suppose o + 2*h - 7*h = 45, 0 = -4*o + 3*h + j. Is o a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2393 + -2399. Let g(f) = 17*f - 13. Let b(v) = 7 - 3*v - 2*v - 4*v. Determine t*g(x) - 11*b(x).\nAnswer: -3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 906.8 - 25.8. Let g = c + -586. Let v = 294.999742 - g. What is v rounded to 5 dps?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 11 - 7 + 332*v - 334*v - 13 - 2. Let x(i) = -i. Give -b(h) + x(h).\nAnswer: h + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/6 + 4087205*y\/3 - 2724803\/2.\nAnswer: -(y - 8174409)*(y - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 3639564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -492, 0.451, -23 in descending order.\nAnswer: 0.451, -23, -492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 19*h + 172. Let m be u(41). Let m + 1164 + 5*a**2 - 150*a - 97 - 893 = 0. Calculate a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 4*n - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 28918506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 9:09 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -97*d**2 - 5*d - 6. Let p be n(-4). Let z = p - -3028. Suppose 6*u + z = 5*h + u, 2*u = 4*h - 1186. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 12:04 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4 = -0*c. What is the first derivative of 2*i - 4*i**c + i - 3*i - 1 wrt i?\nAnswer: -16*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 298 divide 20562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 29*c - 36. Let s be v(-22). Let i = s + 1167. Suppose -5*r + i = 2*w, 3*w + r = -4*r + 732. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -w - 2*w. Suppose 10 = -w*l + 2*l. Let n be (4\/5)\/(l\/(-10)). Which is smaller: 2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/3)\/((-38952)\/613486). Let x be ((-2)\/1082)\/((-9)\/(-2)). Let o = x - m. What is the common denominator of 73\/8 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7247 + -7199. Solve 2*i - 44 = -o for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36619 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 96, 5, 6?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a microsecond in nanoseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24290?\nAnswer: 2, 5, 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 121000041 (base 5) in base 12?\nAnswer: 231649","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 81980221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 10\/((-60)\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -697, -698, -699, -700, -701?\nAnswer: -702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 75, 0, -2 in descending order.\nAnswer: 75, 1, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 27522608 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -1 + 4 + 3*r**2 - 6*r + 0 + r. List the prime factors of s(3).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 - 0.3. Let k = -0.348 - 0.052. What is the nearest to f in k, -2, 0.8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2057)*1 + sqrt(2057) - (sqrt(136)*-2)\/sqrt(8)*3)**2 - (-3 + ((sqrt(17) + -1)*4)**2 - (-3 + (sqrt(34)\/sqrt(2)*-2 - sqrt(17))**2)).\nAnswer: 32*sqrt(17) + 13193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 24 + 400 + 0*s)*(-3*s**3 - 4*s**3 + 0*s**3).\nAnswer: 14*s**4 - 2632*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.78443 rounded to 2 decimal places?\nAnswer: -25.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-95007)\/(-121) + 6\/(-33). Let f = -40 + o. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -797*i + 1412*i - 11493*i - 18366*i - 8190*i as l + c*i and give c.\nAnswer: -37434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((3 + -4)\/(-1))\/(-2)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((4 + sqrt(288)*1)**2 - (0 + sqrt(14)\/(sqrt(7) - sqrt(7)*-2))).\nAnswer: -1216 - 1148*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -11*o - 1461. Let c(k) = 8*k + 1441. Determine 4*c(f) + 3*v(f).\nAnswer: -f + 1381","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2471560 divided by -196.\nAnswer: -12610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + 2)*(1 + -1). Suppose c = -b + 2. Solve 4 = -b*t - 2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 3 - 5)*(3*f**2 - 3*f**2 + 3*f**3 + (-f**2 + 4 - 4)*(-2*f + 4*f - f)) + (4*f**2 - 4*f**2 - 4*f**2)*(4*f - f - 5*f))*(-43*f**2 + 43*f**2 - 44*f**2).\nAnswer: -440*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82627?\nAnswer: 53, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of w**5\/60 - 7*w**4\/12 + 11*w**3\/2 - 322*w**2. Suppose i(k) = 0. What is k?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3172945 by 634589.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 2.8. Let f = -10660 - -31978\/3. Let y = -3 + 2. Which is the third biggest value? (a) s (b) f (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((3\/(-7))\/((-3348)\/1302)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-624)\/9)\/8*-1*(-39)\/(-26).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**3 - 49*d**2 - 28*d + 79. Determine j(25).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000056401 rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 30, 137, 344, 675, 1154, 1805?\n\"Answer: 4*a**3 + 26*a**2 + a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 430660?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -778a9 (base 13) in base 12?\nAnswer: -a5565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*a = 82*a + 193*t - 197*t - 124, 2*a + 155 = -5*t for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**2 + 35*s - 47. Suppose -36*q + 352 = -14*q. Let z be j(q). Is 16\/19 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1752, -3518, -5282, -7044?\n\"Answer: a**2 - 1769*a + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - p + 47 = 0, -2*u + 3*p = -5*u - 24. Suppose -3*v + 4*h = 22 + 10, 0 = 3*v + 2*h + 2. Let d = v - u. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 473.3906 micrometers?\nAnswer: 0.0004733906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -3, 1\/22, 9, 0.1, -0.4.\nAnswer: -3, -0.4, -1\/5, 1\/22, 0.1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 + 18*a + 23. What is the tens digit of y(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 54\/24*116*3\/9. What is the highest common divisor of q and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/49*0\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 2*m**2 - 3*m + 1. Let g be s(2). Suppose -3*p = -12*z + 14*z, -4*z + 4*p = -20. Sort g, z, 2 in decreasing order.\nAnswer: g, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6408153779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197657*k = 197258*k + 8379 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*l + 11448 = 10133 + 5345 for l.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-442)\/(-186) - 2) + (-92)\/138. Let y = -281\/434 - i. What is the common denominator of -31\/54 and y?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/36*3)\/((-21)\/(-16)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19230244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 307893616 and 752.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-27065)\/((2 + -7)*1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3311 = -34*o + 33*o + 3*z, 0 = -2*z + 14. Is 98 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -264, 4, -123 in decreasing order.\nAnswer: 4, -123, -264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2613506 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) + (sqrt(190) - (sqrt(190) - ((sqrt(190) - -2*sqrt(190)) + sqrt(190)) - sqrt(190))*-5))\/sqrt(10))**2.\nAnswer: 6156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sr when two letters picked without replacement from srss.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 8 = t, -4*r - 2*t - 13 + 1 = 0. Let z(x) be the second derivative of -92*x**3 + x**2\/2 + 41*x - 1. Is z(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 365, 302, 239?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 35940436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p - 7. Let w be n(7). Let k = 7 + -5. Suppose 1 = -k*y + 5. Sort w, -0.3, y.\nAnswer: -0.3, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -5 + 101 + 0 + -2 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjtrwjjjjjtrrr. Give prob of picking 1 j, 1 t, 1 r, and 1 w.\nAnswer: 64\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4405.03 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sswswsdddsdddsdsss. What is prob of sequence sdw?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 11*j**2 + 1)*(-6*j + j + 2*j) + (-4 + 4 - 4*j**2)*(-2 + 0*j + 1 + j).\nAnswer: -37*j**3 + 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -61 + 65. Solve -3*m - 2 - a = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 221270 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 12:27 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j. Let w(a) = -418*a**2. Calculate h(w(y)).\nAnswer: 836*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-194116 - 804*i + 194116)*(-9*i + i**2 - 3*i**2 - i).\nAnswer: 1608*i**3 + 8040*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -443 or -444?\nAnswer: -443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27127 + 24597 + 8840 = 49*t. Calculate the lowest common multiple of t and 3090.\nAnswer: 6180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 - -30. Suppose u = 2*g + p, -u + 5*g = g - 10. Let y(b) = b**3 + b**2 + 2*b. Determine y(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67 (base 9) to base 11\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - j + 5*j)*(3*j - j - 4*j) - 5*j**2 + 2*j**2 + j**2 - 3*j**2 + j**2 + 3*j**2 + (-2*j + j - j)*(3 - 3 + 2*j) + 3*j**2 + 3*j**2 - 4*j**2.\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 10674789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11120202211101 (base 3) to base 9.\nAnswer: 4522741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-10 + 9 + -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19925 + 19931. Let i(b) be the first derivative of -38 - y*b**2 - 32\/5*b**5 + 0*b + 0*b**3 + 0*b**4. Find the second derivative of i(z) wrt z.\nAnswer: -384*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + w - 1. Let j(n) = -12*n**2 + 6*n - 3. Let o(b) = -j(b) + 5*q(b). Let u(i) = -i**3 - 144*i**2 + 281*i - 1604. Let f be u(-146). What is o(f)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 4*f - 14, 4*f = -4*w + 2*w + 20. Let y(o) = 7*o - 246. Calculate the remainder when y(38) is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 28. Let u = -5 + z. Let g(b) = -3*b - b + u*b. Let h(w) = -2*w. Determine g(h(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2036*t = 2017*t + 266 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -54376 >= -2096?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1492, 11283, 37860, 89617, 174948, 302247, 479908?\n\"Answer: 1399*n**3 - n**2 + n + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2748347?\nAnswer: 7, 197, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 26*g - 26. Let v be d(-25). Put v, 12, 0 in descending order.\nAnswer: 12, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -372933a (base 12) to base 7.\nAnswer: -160302220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 0.1, 157, -0.7, -43?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58 + 58. What is the nearest to 1\/3 in -4, 3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/8*(2651\/363 + -9). Which is the nearest to -2\/3? (a) -3 (b) 4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 11*r**2 + 17*r + 14. Suppose -s - 90 = -2*q, s = 3*q - 4*s - 135. Suppose 0 = -9*o + 4*o + q. Does 5 divide b(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 223635137.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88 and 99?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70599612?\nAnswer: 2, 3, 5883301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**2 - v. Let p(t) = -t**2 + t + 1. Let f(o) = -h(o) + p(o). Suppose -8 = -2*y - 2*u, 4*y = y + 5*u - 4. Let i = -6 + y. Calculate f(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6485455 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2224 + 2224.0000004635. What is a rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 324 - 324.2. Sort -6, -0.03, v, -3 in decreasing order.\nAnswer: -0.03, v, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 6) to base 15\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p - 6. What is n(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.86 - 14.28. What is g rounded to 0 dps?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 10:06 AM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79084, 79091, 79102, 79117?\nAnswer: 79136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 92\/60*(-285)\/(-38)*-2\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 3.7 (b) 1 (c) 0.3 (d) 0.021\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 5*o + 6. Let w be p(-5). Suppose -260 = 2*d - w*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1543 + 1949 = -47*h + 521 + 245 for h.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 8*u + 3. Let b be x(8). Suppose 2*y + b*z + 3 = 0, y - 3 + 2 = z. Let v(l) = -l**3 - l**2 + l. Let w be v(y). Is -0.03 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 3*r + 16 - 6, 4*d + 8 = -4*r. Let q = d + 8. Suppose -j + 25 = 4*j. Solve -4*v - g = -q*g - 17, -5*v - j*g = 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*k + 33 + 463. Which is bigger: 38 or k?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/((-5)\/(13665\/(-9))) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + x + 1. Let c(f) = -f**2. Suppose 0 = 5*g - 3*a - 17, -4*a = -0*a + 16. What is g*j(z) - 2*c(z)?\nAnswer: z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -557642, -15, -5.\nAnswer: -557642, -15, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u + 1. Let w(h) = -h**2 + 2*h - 3. Let g be w(2). Let l(d) = 2*d. Let n(a) = g*l(a) - 4*q(a). Determine n(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 6*b**2 + 9*b - 3. Let u be r(4). Let i be (30\/(-35))\/u*-273. List the prime factors of i - 9 - (3 - 1).\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/3)\/((-22)\/(-33)). Suppose -x*o = d - 247, 3*o = 4*d - 335 - 748. Put 2, 3, d in decreasing order.\nAnswer: d, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 6*n**2 - 6*n + 5. Let j be z(-7). Let g be 2 + j + 2\/(-5). Let o be (1 + (-6)\/3)\/10. Which is the nearest to 0.1? (a) o (b) -3\/7 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-three eighths of a micrometer?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/10668 and 103\/1224?\nAnswer: 1088136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 12. Is q bigger than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 11:12 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 139930, 279905, 419892, 559897, 699926, 839985, 980080?\nAnswer: 1120217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -111, -246, -445, -714, -1059, -1486, -2001?\nAnswer: -2610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 556*w + 305*w - 1055*w + 95377 - 95377.\nAnswer: -194*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h + 2. Suppose 0 = -3*t - 44 + 14. Let d(l) = -l**3 - 11*l**2 - 11*l - 2. Let v be d(t). List the prime factors of o(v).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 3012330?\nAnswer: 3012321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6135*b**4 - b**2*h**2 - 4*b*h**2 - 8*b*h - 16*h**2 - 2 wrt b.\nAnswer: 73620*b**2 - 2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by 4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(2057) - (3 + sqrt(2057))).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -114?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5*g + 13 = 0, -4*d + 2*g = -0*d - 26. Suppose -d*i + 78 = -146. Let s = 86 - i. Does 15 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31694 divided by 1219\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11086 is divided by 371.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1949, 3549, 5149, 6749, 8349, 9949?\n\"Answer: 1600*b + 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 5*b**2 - 7*b + 7. Let c be i(3). Suppose c*t = -5*t + 6444. List the prime factors of (3 + -1)*t\/8.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 + -37. Let a = z + 19. Solve a = -5*t - 17 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5700\/1330*28\/(-10)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**3*o\/o**2*o**7*o*o**(3\/8)\/o assuming o is positive.\nAnswer: o**(75\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of 7*g**6\/540 + g**5\/54 - g**4\/54 - 28*g**2 + 6. Factor i(k).\nAnswer: 2*k*(k + 1)*(7*k - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 585 - 342. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 31 + 8. Let w = x - -40. Solve w = d - 0*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of 1\/15*w**5 + 5*w**2 + 6 - 1\/112*w**8 + 0*w**6 + 0*w**3 + 0*w - 1\/30*w**7 + 0*w**4. Solve d(c) = 0 for c.\nAnswer: -2, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1910 take away 0.8?\nAnswer: 1909.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*y + 1 + 4*y)*(y**2 - 2*y**2 - 4*y**2).\nAnswer: -10*y**3 - 20*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-9 + -3 + 9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -5*w + 8. Let n(b) = b**3 + 8*b**2 + 5*b - 8. Let p be n(w). What is the greatest common divisor of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13830 divided by 2766\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventy-nine halves of a millennium?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 335189669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 270, 1870, 6228, 14724, 28738, 49650?\nAnswer: 78840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 203 - 0?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3020\/(-275) + (-9)\/(4 - -491)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 154*o - 7. Let p be n(14). Let b = -69\/41 + -2307\/164. Find the common denominator of b and 1\/(-3) + p\/84.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/9 - 1312\/(-72). Solve -g - 11 = 2*b, -2 = 4*g + k for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 5:48 AM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3891 + 394 = -8*h + 18047. Which is greater: h or 2689?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**2 + 7*k + 12. Let c be l(-14). Let t be 175\/(-210) - 3694\/(-12). Which is greater: t or c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 781676?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -239*38371\nAnswer: -9170669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 + 14125?\nAnswer: 14136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -75 or -221\/3?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*l - 39. Let u = l + -10. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/13? (a) 0 (b) 15 (c) 2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 12 = -4*x, v - 2 = -x - 0. Put -2, 5, v in ascending order.\nAnswer: -2, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(24)\/(-4*(sqrt(12) + sqrt(108))).\nAnswer: -3 - sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.039 + 26.039. Let w = -5415747640 + 5415747666.00000039. Let m = w - c. What is m rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.1? (a) -4\/5 (b) 2\/7 (c) 2\/3 (d) 3\/2 (e) -22287\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 3. Let g be (-5)\/(50\/(-52))*p. Let n = -14 - g. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52743.\nAnswer: 3, 17581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w. Suppose -6*q + 20 = -2*q, q = -3*y + 17. Let t(f) = 7*f - 6*f + 0*f + y*f. Calculate t(o(b)).\nAnswer: -15*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/1634501?\nAnswer: 1\/1634501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 6:42 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -135*y - 134*y + 395*y - 116*y - 30 + 2*y**2. Determine h(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(640) - sqrt(640)*2)\/(sqrt(800)*1).\nAnswer: -2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a millennium in months?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, n: 1, y: 2, c: 1}. Give prob of sequence rnr.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -150177696*f - 46644773.\nAnswer: -150177696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64740 and 1300?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1481, 1560, 1639, 1718, 1797?\nAnswer: 1876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 3, 1\/1003?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14414001 = a + u, -2*a = -3*a + 5*u + 14413995. What is a rounded to the nearest one hundred thousand?\nAnswer: 14400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180230542.\nAnswer: 2, 19, 4742909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**6*o**(-2\/15) assuming o is positive.\nAnswer: o**(103\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5394846, 5394855, 5394864?\n\"Answer: 9*w + 5394837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of 0 + 1\/60*n**6 + 1\/105*n**7 + 29*n**2 - 1\/3*n**4 - 1\/5*n**5 - n + 8\/3*n**3. Factor f(d).\nAnswer: 2*(d - 2)*(d - 1)*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 1 = 13. Suppose -p = -2*p + u. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5608 or -5736?\nAnswer: -5736","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63652 = 96*u + 62404 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*d = 96*d - 464. Let i(g) = 5*g**2 - 8*g - 8. What is the remainder when i(6) is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 - -24.975. Let w = -0.082 - p. What is w rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -12*u - 190. Let m(l) = -14*l - 192. Determine -5*m(p) + 6*r(p).\nAnswer: -2*p - 180","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 - 330 = -9*t. Suppose t*l - 41*l - 11859 = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12377 is divided by 123?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/54*3*4.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 258.285 + -3.01.\nAnswer: 255.275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*d - 29 = 0, -2*y - 3*d - 4 - 3 = 0. Suppose -8 = p + p + y*w, p = 5*w + 31. Solve -3*b - 7 = -p*s + 2*s, b - 5*s = -6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ipro when four letters picked without replacement from {m: 3, o: 2, i: 2, t: 7, p: 5, r: 1}?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -117076, -468619, -1054626, -1875097, -2930032, -4219431?\n\"Answer: -117232*v**2 + 153*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*i - 2*i. Let p be (-3)\/i - 3\/2. Find the second derivative of 3*t**5 + 4*t + 0*t**5 + p*t**5 wrt t.\nAnswer: 60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(-4) + (210\/(-8))\/(-21)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -78*k - 10*k + 5*k - 664 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13 + 25058?\nAnswer: 25045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 1)*(-108*l - 4*l**3 + 108*l)*(20 - 19 - 22) + 0 + 0 - l**3 as v*l**3 + f*l + o*l**2 + i and give v.\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 783.5 - 784. Which is the third biggest value? (a) 3 (b) q (c) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 + 21. Suppose 0 = -2*t + 4*l - 16, -t - 20 = -6*t - a*l. Suppose t = -o - 2*o + 90. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 365, 2837, 9525, 22535, 43973, 75945?\nAnswer: 120557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56 - -56. Let n = 10 - 6. Let y = k + n. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(-3*j**2 - 37 - 21 + 42).\nAnswer: -3*j**2 - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + 6. Suppose -r = y - 5*y. Calculate the greatest common divisor of 56 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 553.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 5*l - 4. Let a be o(-4). Let c = -95 - -20. Let j = a - c. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -78*y - 390. What is w(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/1)\/(-6)*-3*(-431)\/((-65512)\/(-1520))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*l - 27 = -87*l + 24*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 55 = -27. Solve s*u + 4*t = 12, 5*u + 4*t - 12 = -1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6075 - 6033. Calculate the greatest common divisor of r and 618.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108 and 184944.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -5*a**2 + 264*a + 522. Determine f(-2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 268 - 58. Let b = 102 - v. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, x: 12}. Give prob of picking 1 y and 3 x.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -11*g - 4. Let f(j) = j**3 + 8*j**2 - j - 11. Let q be f(-8). Determine b(q).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - z**2 + 1. Let b(i) = i**2. Let y be b(0). Let s be f(y). Let h = s + 19. Is 11 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*76)\/((-196)\/(-49)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(-1401)\/(-9) + (-4)\/6. What are the prime factors of -3 + 20\/5 + a?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 + 13 + 11 - 9) + 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*s = 3*s + 11, -44 = -4*t - 5*s. Suppose 3 = -4*a + t. What is the least common multiple of a and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 16. Suppose -149 = -g*z + 3*b, 3*b - 162 - 181 = -4*z. Is 6 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -g**4\/12 + 19*g**3\/6 + 21*g**2 + 21*g. Let v(q) = 20*q + 40. Let w(b) = 5*s(b) - 4*v(b). Factor w(t).\nAnswer: -5*(t - 5)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 14*p**2 - 8*p + 5. Let x(z) = -5*z**2 + 3*z - 2. What is -3*m(a) - 8*x(a)?\nAnswer: -2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 238447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a century in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(3\/6))\/(-2). Let w(z) = 6*z**2 + 2665*z - 2665*z. What is w(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/7 + 11938*s\/7 + 143544\/7.\nAnswer: -2*(s - 5981)*(s + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 g when three letters picked without replacement from {g: 2, f: 2, d: 4, l: 8}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11\/9 + -1 + (-9462)\/2241. Sort w, -268, -5 in descending order.\nAnswer: w, -5, -268","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.1 * 0.02731\nAnswer: -0.084661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2824936083 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-5*(-1*(sqrt(5)*-2 + sqrt(5) - sqrt(5)) - (2 + sqrt(10)\/sqrt(2) + sqrt(5))))**2 + 5)*6.\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from byyybyyyybybbbyb. What is prob of sequence bbb?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7763 + -7760. Which is the closest to 1? (a) -3 (b) -0.2 (c) m (d) 38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-0.2986734.\nAnswer: -1.493367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50 + -36. Let z(t) = t**2 - 19*t - 2*t**2 + 3*t**2 + 18 + 0*t**2. What are the prime factors of z(n)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2 + 11*j - 103. Let r(c) = -c**2 + 7*c - 103. Calculate -3*r(t) + 2*w(t).\nAnswer: -t**2 + t + 103","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2768*i - 30992 = -39761 - 121327 for i.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 1\/20*i**5 + 2*i - 1\/3*i**3 - 11\/2*i**2 + 2\/3*i**4 + 0. Let p be w(-8). Solve -4*n = -2*z + 4, -3*z - 6 = p*n - 1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 6)*(y**4 - 1 + 1) + (-3*y + 2*y - y)*(-3*y**3 + 0*y**3 + 2*y**3) - 3548 - 87*y**4 + 3548.\nAnswer: -84*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -3\/2, -0.07, 2\/5, 0.21 in ascending order.\nAnswer: -2, -3\/2, -0.07, 0.21, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 7*a - 9. Let y be g(-4). Find the third derivative of -5*c**2 + 0*c - 7*c**y - c + c wrt c.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 34 - 9 + 1861*x - 15 - 5176*x in the form h*x + n and give h.\nAnswer: -3315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*g + 7, 0 = -w + 2*g - 4. Let n(y) = -4*y - 37. Let r be n(w). Solve 5*z + 6*m - 1 = 2*m, -21 = r*z - 3*m for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 413\/3717 + (-1)\/(45\/392). What is the third smallest value in -0.1, -0.4, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 54*x**2 - 121*x - 12. Give n(2).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1511 = 16*k - 5687. What are the prime factors of k?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 361 - -b6501?\nAnswer: b6862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19719747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = z. Suppose 2*l = q - 5, -5*q + l - 25 + 95 = z. Suppose -5 = -2*x + 5. Calculate the highest common divisor of q and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)*-2)\/sqrt(8)*-2*5*-5)**2.\nAnswer: 110000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -3*x**4 - 80328*x**3 - 80325*x**2 = 0?\nAnswer: -26775, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1dca + 358?\nAnswer: -1a72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j*(j*j**(-2\/21))\/j))**(-2\/69)*(j*j*j\/(j*j\/j**(1\/2))*j)**(-8))**41 assuming j is positive.\nAnswer: j**(-1186622\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.08 (b) -2 (c) -2\/15 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 441 + -438. Differentiate -87 - 66*b**3 + 3*b - 60*b**s + 162*b**3 with respect to b.\nAnswer: 108*b**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 7*n + 48. Let v be h(11). Suppose 0 = -4*z - v*g + 1720, -4*g + 170 = z - 260. Suppose 2*b = -106 + z. Is 27 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**4\/3 - 6848*t**3\/3 + 2930944*t**2\/3 = 0.\nAnswer: 0, 856","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -633, -630, -625, -618, -609?\nAnswer: -598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -65*w**4 + 1\/2*w**2 + 0*w + 53 + 188\/3*w**3. Find the third derivative of l(v) wrt v.\nAnswer: -1560","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -42?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r = 17*r + 32. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h - 7. Let s be 1 + (-5)\/(15\/6). Let u(q) = 20*q + 20. Let m(x) = -7*x - 7. Let p(t) = -17*m(t) - 6*u(t). Let c(v) = s*f(v) + 4*p(v). Give c(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 12, u: 7}. Give prob of sequence uu.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**3 + 91*d + d**3 + 2*d**3 + 0*d**3.\nAnswer: d**3 + 91*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*a + 590 = 608, -2*a + 18 = 5*k. Let n(z) be the second derivative of k*z**3 - 4*z + 0*z**2 - 1\/20*z**5 + 0 - 1\/4*z**4. Solve n(d) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 2:13 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) -0.0277 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c**2 - 3. Let m(d) = d**2 + 7*d + 9. Let k be m(-4). Let o(n) = -n**2. Let q(z) = 3*z**2 + 2. Let f(l) = 6*o(l) + q(l). Determine k*y(a) - 4*f(a).\nAnswer: 3*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 389.5864t?\nAnswer: 389586.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 s when two letters picked without replacement from gswei?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -50, -57, -48, -17, 42?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -35 - 5b0b?\nAnswer: -5b44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w - 14. Let p be b(4). Solve 5*r = -n - 2, -3*r = -p*n + 9 - 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3760\/2632)\/(30\/14)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 203 (b) -4\/9 (c) 2 (d) 4 (e) -4\/1477 (f) -1\/3 (g) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5026 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2255435417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*k - 7437 = -4255 for k.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -70, 1956579, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -a**5\/30 + a**4\/12 - 3*a**2\/2 - 2. Let c(h) be the second derivative of j(h). Find the second derivative of c(q) wrt q.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24.86 - 0.14. Let v = 9 - -12. Let d = v + t. What is the closest to 0 in -0.2, d, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 51. Is l a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 m when four letters picked without replacement from {z: 3, m: 2, j: 1, y: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 335 + 2*k**2 - 909 + 322 + 252.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -114 by -114.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0)**(-2\/119)\/(r*r**(-5)*(r*r\/(r\/(r**(8\/7)\/r))*r)\/r))\/(r**(1\/4)*r**(2\/9)*r*r**(-5)*r*r\/(r*(r*r\/(r\/(r*r**(4\/5)))*r)\/r)*r) assuming r is positive.\nAnswer: r**(9053\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4*f - 9, -4*f - 4 = -a - 19. Suppose -4*c = -9*c + f*k + 58, 4*c + 5*k - 39 = 0. Let m = -8 + c. Sort m, 0.3, 1\/2.\nAnswer: 0.3, 1\/2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -2. Let s = y + -1\/2. What is the second biggest value in -5, s, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 - 0.2. Let d = 0.3 - w. Let g be (70\/525)\/(6\/10). What is the second smallest value in -2\/7, 5, g, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7867, -8759, -9649, -10537, -11423, -12307?\nAnswer: -13189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 315*a**3 - a**2 - 2*a. List the prime factors of x(4).\nAnswer: 2, 3, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**3 - 23*q**2 + 9*q + 9. Give s(11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 11101011?\nAnswer: 11101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 6:29 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78.2 + -77.9. What is the second biggest value in -0.63, y, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w. Let c(z) = -5667*z. Determine c(x(y)).\nAnswer: 17001*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*c**5*x - 99346*c**3*x**3 - 24*c**2*x**3 - 4*x**3 - 1156*x wrt c?\nAnswer: -540*c**2*x - 596076*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 59467400 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 4*p**3 + 4*p**3 - p**2 - 5*p**3 - 5 to the form d*p**2 + x*p + v + j*p**3 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 8 + (-5893)\/781. What is the third smallest value in -2\/11, k, 5\/3, 4?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9609 + -5360. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -25031.\nAnswer: -50062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9846, -78688, -265504, -629280, -1229002, -2123656, -3372228?\nAnswer: -5033704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 3*a - 10, 9*a - 15 = -w - 2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -7*b**2 + 3*b - 9. Let h(d) = -6*d**2 + 3*d - 8. Determine 6*h(s) - 5*v(s).\nAnswer: -s**2 + 3*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7538 + -23662284.7.\nAnswer: -23669822.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16430000 rounded to the nearest 100000?\nAnswer: 16400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6958 != 250519\/36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 38899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 w, and 2 l when four letters picked without replacement from {j: 1, w: 2, d: 2, l: 8, u: 1}.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56942.4 milligrams to micrograms.\nAnswer: 56942400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 4*u + 2, u + 4*u - 3*q - 4 = 0. Solve -6 = -4*v + u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6815\/58)\/((-2)\/12*975\/(-65)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = k - 4*c, -3*k + 24 = -7*k + 3*c. Does 2 divide (3 - 5)\/(k\/57)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44621 - 48. Calculate the highest common divisor of q and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3299, -3306, -3299, -3272, -3219?\nAnswer: -3134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4\/2 - 15*c**3\/2 - 24*c**2 + 32*c.\nAnswer: -c*(c - 1)*(c + 8)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -86*f**3 + 3635*f**2 + 147 + 85*f**3 - 3634*f**2 in the form t*f + o*f**3 + u*f**2 + w and give w.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 17*b - 813. Let c be u(48). Solve -2*o - 6 = -m, 5*o + c*m = -27 - 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -33*n**2 + n + 2. Let p(d) = 34*d**2 - d - 3. Give -7*g(r) - 6*p(r).\nAnswer: 27*r**2 - r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, b: 3, h: 4, y: 1, a: 2}. What is prob of sequence hbyh?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3434 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3136305 (base 9) to base 12.\nAnswer: -68aa65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/5)\/(s*s\/s**(-4)))\/(s*s*s**1*s*s)**(-34) assuming s is positive.\nAnswer: s**(823\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2662489 divided by 289\nAnswer: 156617\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 3*r**2 - 5*r + 1. Let y be i(-4). Let a(s) = s**3 - 3*s**2 - 2*s - 5. Let t be a(4). Let x(w) = w + y*w + 2 - t*w. What is x(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 4*t + 109, j - 4*j = -5*t - 120. Let g = 23 + t. Sort 0, g, -2 in descending order.\nAnswer: g, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 635908118?\nAnswer: 2, 2273, 139883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = u - 106. Calculate the highest common divisor of u and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08*0.056.\nAnswer: -0.00448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten ninths of a day?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of 3*z**3 - 27*z**2 - 4454*z - 2506. Differentiate m(f) with respect to f.\nAnswer: 18*f - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/6 (b) -1.1561 (c) -4\/7 (d) -0.3 (e) 3 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 162237 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 19719?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1464683309?\nAnswer: 23, 29, 191, 11497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/4 + 3)*(-6)\/(-15)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**3*o**2 - 2*i**3 + 16*i**2*o**2 - 88*i*o**2 - 2*i*o - 24*o wrt o.\nAnswer: -4*i**3 + 32*i**2 - 176*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 57, 2, -5, 0 in ascending order.\nAnswer: -5, 0, 1, 2, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 31*v - 136 = -27*v, 4*g - 121 = -v. What is the remainder when g is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -49 and 16.879588158078?\nAnswer: 65.879588158078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-153442850)\/(-1300) - (-4)\/104 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1502230087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -3 (c) -95 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62 + -188\/3. Suppose -5*v - 68 = 2*q, 3*v - q = 2*v - 15. Let c = v - -10. Put h, c, 5 in ascending order.\nAnswer: c, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 4161 = -6*d. Let f = -687 - d. Let m(l) = l. Let a(n) = n**2 - 11*n + 6. Let p(z) = a(z) + 5*m(z). What is p(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away -3429955812.63?\nAnswer: 3429955813.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*i + 570 = 2*l, -l + 2*i = 300. What is the remainder when 38 is divided by -103*1\/(-5) + 174\/l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15599 divided by 6.\nAnswer: -15599\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 10*l - 3. Let r be m(10). What is the remainder when ((-36)\/30)\/(r\/135) is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1470 is divided by 705?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/4 of a kilogram in grams?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*w + 20 = 25*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -214 - -379. Suppose 2*c - k - 123 = 0. Suppose -6*i = -66 - c. List the prime factors of i.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11951107 a multiple of 1381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -251392*r**4*u**3 + 17276*r**2*u**2 + 4*r*u**3 - 2*r*u + 20 wrt r?\nAnswer: -6033408*r*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -170*d**2 + 357. Let o(u) = 7*u**2 - 15. Give 119*o(m) + 5*x(m).\nAnswer: -17*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*k + 3*t, -3*k - 4*t - 5 = -2*t. Let o be (0 + 2 + 0)*k. Solve o = 5*p + 7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 7*t**3 - 2*t**2 + 4*t - 6. Let b be n(3). Suppose -5*a = -1207 + b. Suppose -4*o = 4*q - 784, 4*o + 3*q = 3*o + a. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (273\/117)\/(18\/36).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 f, and 1 z when four letters picked without replacement from zzizizffziizq?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -7*v**3 + 139*v**2 + 4*v + 11. Let i(u) = -5*u**3 + 136*u**2 + 3*u + 9. Calculate 6*i(c) - 5*p(c).\nAnswer: 5*c**3 + 121*c**2 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(450)*1 + sqrt(450) + sqrt(450))*1)\/(1*sqrt(9)*5 - sqrt(9)))**2.\nAnswer: -45*sqrt(2)\/2 + 297\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from guguummu. Give prob of picking 2 u.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by (-14)\/21*(-26 - 1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.28 (b) 5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48 + 146\/3. Let q = 1\/13 - -37\/26. What is the nearest to 2\/3 in q, f, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -40222, -40338, -40540, -40828, -41202?\n\"Answer: -43*t**2 + 13*t - 40192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4291, 2, 29, -2, 53 in increasing order.\nAnswer: -2, 2, 29, 53, 4291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.113573151 less than -0.103?\nAnswer: 0.010573151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 8) in base 5?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 25571?\nAnswer: 2556a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43*w**2 - 39*w**2 + 11*w**3 - 6*w + 27*w**4 - 30*w**4 wrt w?\nAnswer: -72*w + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3564969*l**4 + 34*l**2 + 125*l + 330 wrt l?\nAnswer: 85559256*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -731*c**2 + 5179*c**2 + 1094*c**2 + 31*c - 33*c.\nAnswer: 5542*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 17*g. Let d(w) = -2459832*w**2. What is d(f(z))?\nAnswer: -710891448*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3003 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -31, 4, -5\/529, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2154972, -4309939, -6464902, -8619861, -10774816, -12929767?\nAnswer: -15084714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 2034081.\nAnswer: -203408.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.09 and -2.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 4*h + 3. Let g be w(-3). Let y = g - -1. What is the remainder when 49 is divided by 21 + (y - (-1 + 6))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 199791*w**3 - 43*w**2 - 60*w - 14?\nAnswer: 1198746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (446248\/12908 - 32\/1)\/((-33)\/14)?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56.233666 rounded to one dp?\nAnswer: -56.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of c**5\/20 - 4*c**3\/3 - 18*c. Let t be v(3). Is ((-9)\/(-9))\/(t\/36) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-3\/7)\/(q*q**(4\/9))*q*q**(-1\/5)*(q\/q**(4\/7))\/q assuming q is positive.\nAnswer: q**(-74\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*j*u**3 - 3*j*u + 42*u**3 + 14*u**2 wrt u.\nAnswer: 18*j + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*m = -3*u + 226, -2*m - 2*u + 92 = 0. Let x = -40 + 75. Let j = x + -24. Calculate the greatest common divisor of m and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddjnnd. Give prob of sequence dj.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 414380 divided by 4.\nAnswer: 103595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 - -24.828. Let w = 0.028 - p. Sort 0.3, 5, -1, w in decreasing order.\nAnswer: 5, 0.3, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-100)\/17 + (-340)\/2890?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56629598 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-10 + 12)*(-635)\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -15\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/2*(-3 + (-36)\/(-14)). Let k be -2 - (-2)\/(18\/1465). Let m = -161 + k. Which is the third biggest value? (a) m (b) d (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148500 divided by -2?\nAnswer: -74250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20046 is divided by 629.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 4*k + 3*u + 4, 5*k = u + 14. Suppose 0*w + k*v - 1607 = -3*w, 4*w = 3*v + 2120. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 4:25 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -13*o + 135. Let u be p(10). Let h be (u\/3 - 2)*(1 - 0). Let f = 0.1 + -0.1. Which is the nearest to h? (a) 4 (b) f (c) 3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 45584, 45582, 45580, 45578, 45576?\n\"Answer: -2*h + 45586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/(-56))\/((-1)\/(16\/6)). Which is the third smallest value? (a) -2 (b) 5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5580 and 11691495?\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 2:14 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.789717 years to months.\nAnswer: 117.476604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-45)*-10*(-9)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21224 plus 0.5?\nAnswer: 21224.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 11:38 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2269 divided by 2269\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15610609.\nAnswer: 7, 19, 117373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*j + 70*j + 24 - 22 as c*j + x and give c.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2552*w - 6*s + 6 = 2555*w, 0 = 3*w + 7*s - 7 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 315085346 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -20*u. Let a(z) = -z. Let h(s) = 15*a(s) - c(s). Let t = 7 + -5. Let r(o) = o - t*o + 3*o - 4*o. Determine h(r(w)).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 880 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13024?\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (728\/(-60) - -12)\/((-606)\/(-303))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 4*o - 6, 4*y - 3*o + 9 = -3. Suppose -2*u = -u - 1. Let w = u - y. Solve -z - 20 = 5*v + 6, -5*v - 29 = w*z for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -i**4\/12 + i**2 + i - 2. Let t(o) be the first derivative of v(o). What is the first derivative of t(d) wrt d?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-3*sqrt(192) - (-1*(sqrt(192) + -3 + sqrt(192)) + sqrt(192)))**2.\nAnswer: -912*sqrt(3) + 69321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 64, 66, 58, 34, -12, -86?\n\"Answer: -j**3 + j**2 + 6*j + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(2\/9)*s\/(s*s**2)*(s*s**0*s)\/s*s*s*s**(-3\/8)\/s*s)\/((s**(-2\/15)\/s*s)\/(s\/((s**(-2\/3)*s)\/s)))**(-9\/8) assuming s is positive.\nAnswer: s**(-28\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + sqrt(405)*3)\/(sqrt(9) - (sqrt(81)*-1 + sqrt(81))).\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 1. Let j(g) = g**2 + 1. Let h(n) be the second derivative of n**4\/4 - n**3\/3 + 2*n**2 + 9*n - 81. What is p*j(q) + h(q)?\nAnswer: -2*q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1271 - -1?\nAnswer: 1272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s - 213 + 27. Let a = s - -26. Let f be (a + 3 - 0)*1. Sort f, 1, 0.01.\nAnswer: f, 0.01, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -3\/7, 2.5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/9)\/((-51)\/(34 - -1649)). Let k = 60 - 103. Let j = 88 + k. Is g <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -588633\/7 - -84371. Let o = 280 - k. What is the third biggest value in o, -0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9071316 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -2 - (-3 + -5 + 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n + n - 4. Is 222 - 7 - 1*n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01699 to three dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/5*(-665)\/(-38). What is the greatest common factor of x and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4565?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 20*d**2 + 248*d + 4360. Calculate h(-19).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.116 + 0.516. Suppose 707 - 247 = 2*z. Let h = z + -2532\/11. Put 1\/4, h, o, 2 in decreasing order.\nAnswer: 2, o, 1\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/9 - 10 - (-4)\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*f**2 + f**4 - 5*f**3 - 3*f**4 + 2*f + 5*f**2 + 8*f**2 - 1 to w*f**2 + s + q*f**3 + k*f + a*f**4 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-252*173\/(-581280))\/(1\/(-8))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 3)*(5*r - 1 + 3*r + r)*(-1 + 4 - 8)*(2*r + 3*r - 2*r).\nAnswer: 405*r**2 - 45*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005215 to six decimal places.\nAnswer: 0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 182, -5, 28 in increasing order.\nAnswer: -5, 1, 2, 28, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (255\/(-4))\/(-5)*25*184\/(-6900).\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 13, 35, 55, 73, 89, 103?\n\"Answer: -b**2 + 25*b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*j - 8*j - 13*j + 4*j. Let k = -448 + 3144\/7. Factor 2\/7*t**4 + 0*t + 6\/7*t**2 - k*t**3 + j.\nAnswer: 2*t**2*(t - 3)*(t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101370, 101734, 102340, 103188?\nAnswer: 104278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(128)*1 + -2)*6 - ((sqrt(128) - (sqrt(128) - sqrt(128)*1*4)) + 2))*2)**2.\nAnswer: -1792*sqrt(2) + 2832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*(sqrt(3025) + 2*sqrt(3025)) + sqrt(3025) - sqrt(3025))*4)\/((sqrt(1125) - -1*sqrt(1125))*-6))**2.\nAnswer: 605\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 26 = 4. Suppose -d = -o*d + 52. Calculate the lowest common multiple of 6 and d.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 15*t - 4. Let y be m(4). Let g(v) = -4*v**2 - v + 4. Let s be g(-3). Let d = y + s. Solve 5*n + 2*x = 28, 0 = 5*n + 3*x - d - 5 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, k: 2, z: 3, u: 1}. Give prob of sequence jk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -519665 (base 11) to base 13.\nAnswer: -232009","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 264 and 650892.\nAnswer: 1301784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1312618170 to the nearest one million.\nAnswer: 1313000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7, -17, -35, -61, -95, -137, -187?\n\"Answer: -4*v**2 + 2*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*h*o**3 + h*o**2 + 5060430*h*o + 1753*o**3 wrt o.\nAnswer: -126*h + 10518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-112)\/4*(2 + 22\/(-8)). Solve 5*d - 1 = -y, -2 = -2*n + 3*d for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1651571, 3303172, 4954821, 6606542, 8258359, 9910296?\nAnswer: 11562377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 4. Let y = -14 + 7. Let n = y - -7.4. Which is the third smallest value? (a) -5 (b) j (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 608 divide 437373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - p - 26 = 0, 10*y + 3*p - 24 = 5*y. Let n(z) = z**3 - 3*z**2 + 3. Let j(w) be the first derivative of -w**3\/3 + w + 6. What is y*j(o) - 2*n(o)?\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 + 19*d - 25. What is the remainder when 120 is divided by m(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 8 - 2. Let c(k) = 2*k - 3 - k**2 + b*k**2 + k**2 - k**3. Is c(10) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*k - 190 + 2542 = -1260 for k.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s. Let p(q) = 37*q**2 - 14*q + 66. Let z(h) = 12*h**2 - 4*h + 21. Let j(u) = -2*p(u) + 7*z(u). Calculate g(j(c)).\nAnswer: -20*c**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 6*n**2 + 4193*n - 25157. What is i(6)?\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 987\/(-3619) - 453\/33?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 359*q**3 + 3*q**2 + q - 7. Is o(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 7 = 3*t - 3*q, 11 = -3*t + q. Let m be -267 + 0\/(8 + t). Let b = -158 - m. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4)*i*i*i**0*i**3*i*i\/(i\/i**(-4))*i*i)\/(i**(-2)*i*i**(1\/3)*i\/(i*i**(-4\/3)*i*i*i)*i**(1\/4)) assuming i is positive.\nAnswer: i**(25\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 0*b**2 - 4*b**2 - 1 + 9*b**2. Let c be p(-1). Factor 6*a**3 + 6*a**2 + 2*a**c + 2*a + 4*a**4 - 4*a**4.\nAnswer: 2*a*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 6*c + 3*d + 17, -5*c + d - 21 = 0. Let f(r) = -r**2 - 5*r - 5. Let m be f(c). What is the lowest common multiple of 1 - (-15)\/(m\/(-1)) and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u**3 + 85*u**2 + 33*u + 158. Determine p(22).\nAnswer: -568","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 13230 (base 10) to base 13\nAnswer: 6039","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 82852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6322 = 9*z - 10076. Suppose 4*l - h = z, -353 = -5*l - 5*h + 1937. Suppose 0 = -4*p - 5*t + l, p + 5*t = 2*p - 139. List the prime factors of p.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -15. What is the remainder when 58 is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 17 - 15*s.\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.1, -1514.647 in ascending order.\nAnswer: -1514.647, -2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13189555 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0991004 rounded to four decimal places?\nAnswer: -0.0991","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31715 (base 8) to base 15.\nAnswer: 3de1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 54*t**2 - 9309*t**5 + 10151*t**5 + 52*t**2 wrt t.\nAnswer: 50520*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 19*c - 68. Let q be x(-13). What is the greatest common divisor of q and 1370?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6059?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-189)\/(-28)*(-9 - (-110)\/12).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141 divided by -47.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 25*g + 32*g + 28 = 0, -2*g - 8 = -5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8512.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = -19*h + 1372. Let n = h - 38. Solve 7*r - 5*o = n*r + 40, -2*o + 17 = -5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2513.776 milliseconds in seconds?\nAnswer: 2.513776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(130)\/sqrt(490).\nAnswer: -sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -845 = -6*g + 1309. Calculate the remainder when g is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 82.3 - 82. Let d = -5.6 - -6. Which is the nearest to -1\/3? (a) -3\/2 (b) y (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**2*c))**26)**40 assuming c is positive.\nAnswer: c**(-3120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.142394482+-2\nAnswer: -1.857605518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1561 by -5.\nAnswer: 1561\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 337404, 1349627, 3036664, 5398515, 8435180, 12146659, 16532952?\nAnswer: 21594059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k + 9. Let x be f(-4). Suppose 268 = 5*g + 4*h, x*h - 196 = -3*g - 30. Suppose 0*t = -t + g. Is 15 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2771 = s - 5*j, -3*j + 1201 = 2*s - 4354. What is the thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8829, -14115, -22931, -35277, -51153, -70559, -93495?\nAnswer: -119961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence udd when three letters picked without replacement from {d: 6, u: 7}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l**2 - 25*l + 49. Let a be g(0). Solve -50*b + 1 = -a*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 39, 4, -1, 2 in descending order.\nAnswer: 39, 4, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, e: 7, v: 2, d: 2, y: 7}. What is prob of sequence veje?\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1884512 to the power of 1\/2, to the nearest integer?\nAnswer: 1373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2253052*n. Let o(x) = 20*x + 3. Give a(o(v)).\nAnswer: 45061040*v + 6759156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 4 - 123*g**3 + g**2 + 0 - 9 + 19*g**3 to the form m*g**3 + q*g**2 + w + t*g and give m.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/28*28)\/((-1)\/(-1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-8)*c**15 assuming c is positive.\nAnswer: c**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1388, 1401, 1408, 1403, 1380?\nAnswer: 1333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5312 + 21249\/4. Which is the nearest to -2\/9? (a) -2\/11 (b) s (c) -6\/31 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-8)*129\/((-9417)\/(-1168))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 5993325594536.\nAnswer: 5993325594537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 272.4715 nanometers?\nAnswer: 0.00002724715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 4*d + 1. Calculate the least common multiple of 7 and f(-3).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18 by -15.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/15, -0.1, 886564, 4 in increasing order.\nAnswer: -4, -2\/15, -0.1, 4, 886564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*(2 + -3)*-1. Suppose 5*k + v*p = -5, -4*k - 5*p - 2 = -2*p. What is the tens digit of (k - 3\/(-1)) + 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 4*r - 5*r + 4*i, -4*r - 78 = 10557*i - 10553*i + 38 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*a**2 - a + a)*(-3*a + 0*a + 4*a) + (57 - 24 + 56)*(2*a**3 - a**3 - 2*a**3)*(-2 + 0 + 3))*((-6 - 3 + 4)*(-6*a + 3*a + 5*a) + 30*a - 74 + 74).\nAnswer: -1820*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, 0.1, -0.13, 3.5.\nAnswer: -0.9, -0.13, 0.1, 3.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 4 + 18 + -10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85792748?\nAnswer: 2, 31, 691877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*x - 5690 + 5668 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -502 - -705. Suppose 0 = -2*t - 197 + o. Solve 19 - t = 4*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 66*l**2 + 7*l - 293. What is k(65)?\nAnswer: 4387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1*sqrt(130)\/(sqrt(40)\/sqrt(4) + sqrt(10)) + (sqrt(13) - sqrt(104)\/(sqrt(32)\/sqrt(4))) + (sqrt(52)\/(sqrt(16) - sqrt(4)) - sqrt(13)) + 3 + -3)**2.\nAnswer: 4*sqrt(13) + 77\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2919587743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 211*i - 31. Let b(p) = -11641*p. Give r(b(j)).\nAnswer: -2456251*j - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccpctpcccopio. What is prob of sequence oc?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 104529557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323854?\nAnswer: 2, 193, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5 - ((5 - -22 - 10) + -4 + -10)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, l: 7}. Give prob of sequence ccl.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3. Let h(s) = -6*s + 3*s + 4 + 2*s. Let v be h(3). Calculate p(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from upkpuuapuaua?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -564 + -4?\nAnswer: -570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 0*t + 14. Let x = t + 2. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37688318.\nAnswer: 2, 103, 182953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7044545 and 78710?\nAnswer: 14089090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*p - p + 10*p)*(-2*p + p + 0*p)*(-4*p**3 + p**3 + 5*p**3)*(6 + 1 - 3).\nAnswer: -128*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 3960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 235 (base 9) to base 8.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, 18, -254, -0.3, -0.5, 2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -8. Suppose 0 = 4*f + y*p - 60, 0 = -f + 3*f - 2*p - 34. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + -18 + 22 - (2 + -29).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -v**6\/120 - v**5\/20 - v**3\/3 - 2*v**2. Calculate the remainder when 40 is divided by a(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100858 divided by -6.\nAnswer: -50429\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 1\/2 (c) -74 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 861615 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 11 + 4 + -14.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -27*r**3 - 2*r**2 - r. Let k be b(-1). What is the greatest common factor of k and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5740*k - 18*k**4 + 5746*k - 122*k**4 + 37 + 148 + 6*k**3. Let u(f) = f**3 + f. Let a(b) = -t(b) + 6*u(b). Find the first derivative of a(r) wrt r.\nAnswer: 560*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 28*z**2 - 14*z - 47. What are the prime factors of w(-5)?\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and 42.\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -202\/894669?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 236074055 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 267, 264, 263, 264, 267, 272, 279?\n\"Answer: v**2 - 6*v + 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -4*o + 8*i - 13*i, 3*i - 84 = -5*o. Suppose 3*q + 3 - 6 = 0. What is the remainder when q + (-4)\/(-2) + 161 is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -232760 + 92760. What is s rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 633 a factor of 1183077?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**3 + 22*z**3 + 3*z**3 - 17*z**3 - 6*z**3.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 74.941 + 0.059. Let k = q - 21. Let o = k + -79. Which is the third biggest value? (a) o (b) 1\/8 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7296519655 to 5 dps.\nAnswer: 0.72965","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v + 982*v**2 + 0*v - 373*v**2.\nAnswer: 609*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 95 = -15. Suppose -3*w = -182 + 2. Calculate the highest common factor of u and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 5*d - 0*d - 47, -3*h + 2*d + 43 = 0. What is the least common multiple of h and (-36)\/60*-1 + (-17)\/(-5)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*b**2 + b**2 - 14*b**2.\nAnswer: -22*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101752 divided by 11.\nAnswer: -101752\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -0.2 (c) -6299 (d) 2\/5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -30, -57, 1\/2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 118*w**3 + 6*w**2 - 5*w - 8. Let n be u(-8). What is n rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/65*-20 - ((-204)\/18)\/(10\/6)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 less than -3.402244?\nAnswer: -3.362244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2908503503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 173 - 84. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -375, -326, -289, -270, -275, -310?\nAnswer: -381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q + 3. Let y be o(0). Let h(b) = 3 - 2*b**2 - y. Let v(l) = 6*l - 4. Let k(c) = -26*c + 18. Let u(s) = -2*k(s) - 9*v(s). What is h(u(r))?\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1116.068 + -0.2.\nAnswer: -1116.268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -1.99. Let w be (190095\/(-1575) - -5) + (-2)\/(-3). Let r = w + 578\/5. Which is the smallest value? (a) 2\/9 (b) g (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2506 (base 12) to base 10.\nAnswer: 4182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -w**3\/3 + 5*w**2\/2 - 5*w + 4. Determine i(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*d**3 - 18*d**3 + 29*d**3.\nAnswer: 39*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 4*g - 3*i, 10*g - 9*g + 2*i = 12. Let h = g - 16. Factor -1 - 4*s**h + 3 - 4*s**3 + 31*s - 27*s + 2.\nAnswer: -4*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 295 - 135. Let b be (-15)\/(-2)*r\/25. What is the greatest common factor of 12 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 213980 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38975.2 + 1.\nAnswer: -38974.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 10:11 PM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79615?\nAnswer: 5, 15923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.99 - 0.01. Let v = -2 - f. Which is the smallest value? (a) 0.1 (b) -2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 1. Let u(v) = -4*v - 6. Let r be u(5). Let g be (-7)\/(-21) + r\/6. Put g, 4, a in decreasing order.\nAnswer: 4, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 5*t - 121. Determine g(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 - -31. Let f be (-15125*(c - -3))\/(2 + -1). What is f rounded to the nearest 1000?\nAnswer: 61000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 212306860 to the nearest 100000.\nAnswer: 212300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**11\/c)\/(c\/((c*c**2\/c*c*c)\/c)))\/((c**(1\/3)\/c)\/c**(1\/32)) assuming c is positive.\nAnswer: c**(1315\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71441 is divided by 5495.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/4)\/(7\/3)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = l + 2*l. Let p = l + 104. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8 and 2.31058?\nAnswer: 10.31058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 v when three letters picked without replacement from {w: 1, l: 2, s: 4, x: 6, v: 3, m: 2}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + (-32)\/(-20))\/((-35)\/75). Is 2\/3 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 831307646 is divided by 1590.\nAnswer: 1586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 p, and 1 n when three letters picked without replacement from {v: 1, p: 5, d: 7, n: 1}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1491 divided by 5\nAnswer: 1491\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 2*d - 4*d)*(23 - 7 + 13)*(-1 + 5 - 3).\nAnswer: 29*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 1770056.\nAnswer: -3\/442514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -658, -6, -43 in descending order.\nAnswer: -6, -43, -658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -66186, -66191, -66200, -66213?\n\"Answer: -2*o**2 + o - 66185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + c - 148. Let n = c - 15. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-3 - (-16)\/4). Solve -w = -r - 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 2, -10, -10\/3, -5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -778863, -3115492, -7009885, -12462042, -19471963, -28039648?\n\"Answer: -778882*r**2 + 17*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1501 and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -29769, -59534, -89289, -119028, -148745, -178434, -208089?\n\"Answer: m**3 - m**2 - 29769*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -23 + (32 - 28) - -42\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3191, -2767, -2073, -1115, 101, 1569?\nAnswer: 3283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -64783 + 117647. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 42860945.\nAnswer: -1\/42860945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22934, 46377, 69820, 93263, 116706, 140149?\nAnswer: 163592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*v + 34. Solve 13*y - v*y = -6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - g - 13682 = -37599, -4*g - 23907 = -5*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2027 - -3064. Calculate the highest common divisor of 17 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + b = -4. Suppose 3*a = -c - 8, 0*a - 6 = -3*c + a. Let s = c - b. Solve -k - 3*w - w - 7 = 0, s = 5*k + 3*w - 16 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1533494, -3067017, -4600540?\n\"Answer: -1533523*h + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 93168909 to the nearest integer?\nAnswer: 9652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bw when two letters picked without replacement from bkwkkkkbkkwwbbkw.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 32*s - 676. What is n(21)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2 minus -212?\nAnswer: 214.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**(-5))\/v**(1\/5))**(-38) assuming v is positive.\nAnswer: v**(-1292\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -4306*k - 3252. Give q(-1).\nAnswer: 1054","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 5*p. Let u(a) = -a**2 - 5*a. Let c(i) = 5*t(i) + 6*u(i). Let y be c(-5). Let m be -43000 - y\/((-3)\/(-1)). Round m to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68820 and 1776?\nAnswer: 275280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and 1224346.8.\nAnswer: 1224346.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - 1)*(-2)\/(-3). Suppose 4 = -t*a - 2. Let n be a\/(2 - (-3 + 6)). Solve -3 = n*y - 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -194591 or -194576?\nAnswer: -194591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2938044?\nAnswer: 2, 3, 244837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-3) + (-26)\/(-12)*2. Suppose -3*m = -d - 35, d + 0*d = -y*m + 25. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9242, 9375, 9738, 10445, 11610, 13347, 15770, 18993?\nAnswer: 23130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2 = -12. Let k(s) = s**2 - 7*s - 13. Let r be k(9). Sort r, 2, d in decreasing order.\nAnswer: r, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266515649.\nAnswer: 31, 61, 140939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1679972987?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1*25669836\nAnswer: 25669836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1518720431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 46912571 divided by 1?\nAnswer: 46912571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ga when two letters picked without replacement from gataadgtgjggatggggg.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 9*u - 28. What is x(13)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 2*m**2 - 4495. Let o(h) = -h + 323. Give r(o(u)).\nAnswer: -4*u + 1292","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 430.7891 years in millennia?\nAnswer: 0.4307891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2679, -2553, -2385, -2169, -1899, -1569?\nAnswer: -1173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 113388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1175, 1148, 1111, 1064?\n\"Answer: -5*g**2 - 12*g + 1192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.99, 1588.1, 0.1 in descending order.\nAnswer: 1588.1, 1.99, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(38) - sqrt(228)\/(-2*sqrt(6))) + sqrt(38) + (6*sqrt(608) - sqrt(38)))*4)\/(sqrt(216)\/sqrt(12)*3*1).\nAnswer: 34*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1435988, 1435978, 1435968?\nAnswer: 1435958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -5 (c) 24 (d) -136919\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**2 + 8*i - 7. What is the least common multiple of 10 and g(-5)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-284)\/(-355)*5\/22\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16482, 16474, 16466?\nAnswer: 16458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (-22 + 17 - -12).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00385508049 to 5 decimal places.\nAnswer: 0.00386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**3 - 4*j**3 + 0*j**3)*(-104 + 65 - 86).\nAnswer: 875*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**2 - 138*b + 68*b - 247*b**3 + 67*b as n*b + r*b**2 + s*b**3 + q and give s.\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 66334397785 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3248 - 32453\/10. Let h = 20\/13 - -129\/26. Calculate the common denominator of f and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 - 134\/3. Let c = 3.6 - 4. What is the closest to g in 4\/5, -0.2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -19*i - 65. Let w(g) be the third derivative of g**5\/60 - 11*g**2 - 86. Determine j(w(z)).\nAnswer: -19*z**2 - 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -11*u + 22. Let j(q) = 3*q. Calculate h(j(y)).\nAnswer: -33*y + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 59*p + 6 - 110*p + 50*p - 1 - 4. Suppose -16 = -0*w + 4*w. Let y(x) = -x**2 - x + 1. Calculate w*i(o) + 4*y(o).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (59 + 16 + 39)*(1 - 1 + g)*((0 - 2 + 0)*(-3 - 3 + 3) + 0 + 3 - 4) in the form c*g + t and give c.\nAnswer: 570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 5 - 6)*(-2*o**5 - 1 + 1) - o - 2*o**5 + 3*o**5 + 3*o.\nAnswer: -17*o**5 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00475971 to 4 dps.\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-21 - (-35 - -16))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of 1\/24*c**4 + 2*c**2 + 0*c + 0 - 1\/6*c**3. Differentiate m(h) with respect to h.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 141 and 1277319.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 510674354?\nAnswer: 2, 479, 533063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1048 a factor of 8031063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 4*k - 76, 5*m - 4*k + 140 = m. What is the units digit of ((-49)\/(-5))\/(m\/(-800))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -30, -22, -10, 6, 26, 50?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(19) + sqrt(57)\/(sqrt(3)*2 - sqrt(3))) - (2 + 2*sqrt(2736)))**2.\nAnswer: 120*sqrt(19) + 17104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, w: 1, s: 5, o: 2, g: 2, x: 2}. Give prob of sequence uxw.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 1 = 5*c. Let w be 6\/(-4)*(-3 + c). Find the first derivative of -z**3 + 3 - z**w - 2 wrt z.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -8*l + 56. Calculate the remainder when x(-22) is divided by 30.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1070890724 to the power of 1\/2, to the nearest integer?\nAnswer: 32724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5204.451 grams in milligrams?\nAnswer: 5204451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10163c9c + 3?\nAnswer: 10163ca2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 32*i**3\/3 + 31*i - 26. Differentiate k(x) with respect to x.\nAnswer: 64*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -127*s + 131*s - 14, -n + 10 = 2*s. Solve -5*q = -18*o + 17*o - 24, 0 = -s*q - 4*o + 24 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 7*a - 6*a. What is the remainder when a is divided by 51\/15 + (-4)\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 877589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 409300 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29? (a) 4 (b) -3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 1)*(-1 + 2 - 2)*(x**5 - x**5 - 2*x**5).\nAnswer: -12*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 42 and 213\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 137*i + 431. Give t(-5).\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v\/v**1))**(-45)\/(v\/(v\/(v\/(v**(8\/9)*v)))*v*v*v**14) assuming v is positive.\nAnswer: v**(-136\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kck. What is prob of picking 2 k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + 1. Suppose 5*j = 2*q - 92, 0 = q + j - 2 - 30. What is the greatest common factor of q and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*y**2 + 28*y**2 - 32*y**2 - 12*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -270\/2167733 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 707 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/6 equal to -83497\/2744?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*p + 2050206 + 716675 = 191681. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3858514 greater than -3858507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 5*u + 7. Let o be v(6). Let q(b) be the first derivative of 2*b**3\/3 - 15*b**2\/2 + 18*b + 73. Is q(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/6*(265\/50 - 7). Let q = w + 1\/5. Let k = -41\/84 + q. What is the third smallest value in 4\/7, -1, k?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y + 5. Let f be v(2). Let k(p) = -5*p**2 - 4. Let g = 9 - 3. Let o(i) be the first derivative of i**3\/3 + i - 1. Determine f*k(j) + g*o(j).\nAnswer: j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**2. Let g(m) = 110*m**2 + 1. What is o(g(l))?\nAnswer: 36300*l**4 + 660*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -428, -1802, -4098, -7316, -11456, -16518, -22502?\n\"Answer: -461*z**2 + 9*z + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 10:41 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 565 + -531. What is the lowest common multiple of 8 and m?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -26*a**3 - 6*a**2 + 12*a + 28. Let z(b) = -28*b**3 - 4*b**2 + 8*b + 29. Determine -2*r(p) + 3*z(p).\nAnswer: -32*p**3 + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8, 0.048, -0.5, -5, -1?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 964*n**2 + 963*n**2 + 1619*n**2 + 895*n**2 to r*n + j + i*n**2 and give i.\nAnswer: 4441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*y**2 + y - y)*(108771 + 4501*y**2 - 108771) to b*y**3 + x*y**2 + s*y**4 + g + d*y and give s.\nAnswer: 18004","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-13)\/(-21) - 12*2\/8 and 46\/15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - 1\/(38\/(-110)). Is -3\/4 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84985 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from babxbbbbxxxaabaxfbbb?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + o - 18 - 5, 2*g + 2*o - 16 = 0. Suppose -224 = g*c - 59. Let q be c\/(-2) - (-18)\/12. Calculate the highest common divisor of q and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*i + 5, 3*i - 6 = -4*g - 0*g. Sort -4, 15, 4, g in ascending order.\nAnswer: -4, g, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 29 = -2*j, v + 3*j - 11 + 0 = 0. Find the third derivative of 0*o**5 - 6*o**v + o**5 - 11*o**5 - 13*o**2 wrt o.\nAnswer: -960*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k + 9. Let y(b) = b + 2. Let x(l) = -2*r(l) + 9*y(l). Let c be x(1). Factor 2 - 7 + 5*h**2 + c - 3*h**2.\nAnswer: 2*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -71ceaa?\nAnswer: -71ceae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l - 2*l**2 - 4*l**3 - 11*l + 7 + 10*l**2 + 3*l**3. Let t be c(7). Let y = 5 + t. What is the second biggest value in -3\/5, y, 0.2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*v - 36 + 12 = 0, 14 = -2*z - 2*v. Let g(s) = 4 - s**3 + 0*s**3 - s + 2*s**2 + 1. Is g(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -450945 or -10371728\/23?\nAnswer: -450945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (-58 - -50) - (107 + 1).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 123 + -1105\/9. Which is the third smallest value? (a) l (b) -0.2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11906.7g?\nAnswer: 11906700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69 and 3381.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 435402800 to the nearest integer?\nAnswer: 20866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(1*sqrt(36) + sqrt(36)))\/sqrt(3) + -3)**2.\nAnswer: -72*sqrt(3) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**3)**(9\/5)\/(t\/(t**(1\/16)*t))**(-11\/3))**(1\/33) assuming t is positive.\nAnswer: t**(1241\/7920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 19 + 56. Let q(o) = o**3 + 3*o**2 - 5*o + 2. Let p be q(-4). Suppose -d + p = -u. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 990304 divided by 28?\nAnswer: 35368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-90 - -3)*(-1)\/3. Let u be ((-210)\/40)\/((-26)\/16 - -2). Let x = t - u. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1919, -3047, -4925, -7553, -10931?\nAnswer: -15059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 114, 178, 242?\n\"Answer: 64*b + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-78)\/(-15))\/((-4)\/20). Let d = -19 - b. Suppose f - d*i - 26 = -2*i, -3*i = 2*f + 13. Sort f, 2, 4, 0 in decreasing order.\nAnswer: 4, 2, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 362, 491, 644, 833, 1070, 1367, 1736?\n\"Answer: 2*w**3 + 115*w + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6419546 a multiple of 137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 8127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/5)\/((-184)\/(-230)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, 2\/3, 174?\nAnswer: 174","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80676 is divided by 80566.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35 - 13053\/114)\/(26\/(-8)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 333 (base 12) in base 2?\nAnswer: 111010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*w - 54*w = -a + 3, a - 7 = 3*w. Let c = -0.03 + -1.77. Let p = -0.2 + c. What is the nearest to a in -5, 0.1, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.540381 litres in millilitres?\nAnswer: 4540.381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71 (base 10) to base 15.\nAnswer: 4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3243 is divided by 136.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/12)\/(11\/396*-20).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 2 (b) 2\/29 (c) 5 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -1, 1, 1795, -4\/25, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t. Let k be j(-6). Let x = 9 + k. Suppose -91 + x = -4*s. What is the remainder when 36 is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80, 81, 82?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 0, -1, 21 in descending order.\nAnswer: 21, 5, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 414795200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 602 and 48934.\nAnswer: 342538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -439303.8365 rounded to the nearest ten thousand?\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -1 - 1) + -12 + 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + r + 3787, 3783 = 7*g - 5*g - 5*r. Let j(q) = 5 + 4 - g*q + 1895*q. What is j(8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5*o**2 + 111*o. Let t(j) = j. Calculate q(t(b)).\nAnswer: 5*b**2 + 111*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 665562.\nAnswer: 2, 3, 110927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*o + 5*w, -2*w - 7 = o - 0*w. Let d be o\/(-1) - 15\/(-5). Solve -5*a + d + 1 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 6*i + 2. Let d be j(-6). Solve d*m + a - 17 = -m, 2*m + 2*a - 14 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -292, -580, -868, -1156?\n\"Answer: -288*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*i. Suppose i*z = 2*z. Suppose 2*d + 2*a - 13 = a, z = 2*a - 6. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1444 + 10?\nAnswer: -1434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2294833356 + -2294833490.0000069. Let c = 134 + b. What is c rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2. Let a(l) = -93245496*l. Determine a(p(u)).\nAnswer: 93245496*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j + 73. Calculate r(-33).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-19 - -13) + 17?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7426772 to the power of 1\/2, to the nearest integer?\nAnswer: 2725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) -0.7394 (c) 36 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/10 - ((-24)\/20)\/3. Which is the closest to -0.1? (a) -0.15 (b) -3\/4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of y**4\/24 + 4*y**3\/3 - 7*y**2. Calculate h(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58928981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.334+-36.5662433448\nAnswer: -36.9002433448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, -2\/55, -2\/3, 0.0153?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/7161 and -45\/682.\nAnswer: 14322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1500)\/140 + 7 + 4. Let k = 4 + -7. Which is bigger: h or k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.4 - 6.4. Let a = 0 + 0.2. What is the third smallest value in a, -2\/11, r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101480 is divided by 9993.\nAnswer: 1550","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -4*q + 56, 15*w = 18*w + 12. Is q < 37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a - 128. Let h(v) = v**2. Determine j(h(p)).\nAnswer: -3*p**2 - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5257a (base 12) in base 14?\nAnswer: 2b4aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3247572 is divided by 817.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 + -10. What is the smallest common multiple of 22 and c?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 102*f**2 - 247*f - 4. Determine o(3).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 - 23. Calculate the highest common divisor of x and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 62795902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 5 + 15 = 0. Suppose -205 = -z*o + 41. Calculate the remainder when o is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7194232 = -262*t + 8593626. List the prime factors of t.\nAnswer: 60259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*3*3)\/(sqrt(392) + sqrt(392)*2).\nAnswer: 3*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 2782 = 706. What are the prime factors of c?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68*(140\/(-160))\/(35\/(-10))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2\/5*l**2 + 764\/5*l + 762\/5 = 0.\nAnswer: -381, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - (3 + sqrt(99))) + sqrt(99) + sqrt(495)\/sqrt(5).\nAnswer: -3 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1874, 3582, 5290, 6998, 8706, 10414?\nAnswer: 12122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2947, 1\/10, -4\/5, -17?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 6362*y - 2651. Let t(m) = -76310*m + 31810. Let a(j) = 35*p(j) + 3*t(j). Differentiate a(u) with respect to u.\nAnswer: -6260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vtvtvvttttvv?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/18 and 67\/12842.\nAnswer: 115578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 4. Let p = 42 + -17. Let c = p + -24.8. Sort c, -0.8, x in ascending order.\nAnswer: x, -0.8, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7176.06699 rounded to the nearest 10?\nAnswer: 7180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 75*m - 12001. What is s(151)?\nAnswer: -676","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 434064584.\nAnswer: 2, 54258073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 5*k - 385, 30 + 479 = -5*y - 3*k. Let s = 99 + y. What is the common denominator of -34 and ((-11)\/(-242))\/(s\/(-34))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -190118*c**6 - 2*c**4 + c**3 - 20*c**2 + 55*c - 44.\nAnswer: -22814160*c**3 - 48*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.8332 and -141.46956.\nAnswer: -143.30276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*t**5 + 1 - 2 + 2 + t**5 + (2*t**3 - 2*t**3 + t**3)*(1 - 1 - 2*t**2) - t**3 + t**3 + 2*t**5 - 420*t**2 - 2 + 22*t**5 + 420*t**2.\nAnswer: 21*t**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38\/9 or -7\/313?\nAnswer: -7\/313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1647 is divided by 182?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 379129 is divided by 7561?\nAnswer: 1079","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, 20, 47, 74, 101?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 8. Let s be (2\/3)\/(-2)*-3. Let u be s*2*-1*2. Which is the third smallest value? (a) u (b) j (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**3 - k**3 + 6*k**3 + (3*k**3 + 4*k**3 - 5*k**3)*(-2 - 3 + 3) + (4*k + 12*k - 2*k)*(-2*k - 2*k + 2*k)*(-3*k + 4*k - 3*k) + 4*k**3 - 2*k**3 - k**3.\nAnswer: 54*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3 + 15114766*h**2 + 90688542*h + 136032786.\nAnswer: 2*(h + 3)**2*(h + 7557377)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(98)*2 + sqrt(98) + sqrt(98))*1)**2 - (3 + sqrt(98)*1 - (2 + sqrt(98)*2))**2.\nAnswer: 14*sqrt(2) + 1469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-58*j + 15*j - 20*j)*(-2*j - 1 + 1) + 3 + j**2 - 3 + (-j + 1 - 1)*(-6*j + 2*j + 2*j) in the form q + o*j + b*j**2 and give b.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z. Let r(y) = 2*y**2. What is g(r(p))?\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2 - 1 = 0. Is t greater than or equal to 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 50*t + 136. Suppose -268*i - 498 - 9472 = 2626. Determine m(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43506358*a**5 - 14757876*a - 1 wrt a.\nAnswer: -870127160*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 50352026 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10555 is divided by 35.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*((i*(((i\/i**2)\/i)\/i)\/i)\/i)\/i*i\/i**(-13))**27*i*i\/(i**1*i)*i**(5\/6)*i**7*i**4 assuming i is positive.\nAnswer: i**(1691\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 1) + 1 - (-20 - 4). Suppose 0 = -67*k + 68*k - p. What is the lowest common multiple of 18 and k?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 8 = -3*z. Suppose 1005 = -5*s - 5*n, -198 = s + z*n - 0*n. Let x = -133 - s. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-8)*6*-4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*l - 4*l. Let m be (-6)\/l - 8\/(-3). What is the third derivative of b**5 - 13*b**m + 13*b**3 - b**2 wrt b?\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 * -2.282\nAnswer: 0.27384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 328327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 minus -18?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 280 + 249. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - (-9)\/((-18)\/(-16)). Suppose -o = -2*z + 1. Find s, given that s**3 + z*s**2 - 1\/2*s**5 + 0 - 2*s**4 - 9\/2*s = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*w - 9 = 0. Suppose -4*l = w*t - 284, -4*t - 10 - 61 = -l. What is the remainder when l is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3162 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s + 6. Suppose -35 + 31 = 4*h + 4*f, -h - 3*f = 5. What is k(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -465930*w**4 + 1009679*w wrt w?\nAnswer: -5591160*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4701467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-1\/12)*k\/(k**(-21)\/k)*k)**22 assuming k is positive.\nAnswer: k**(3311\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-6 + 4 - -2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1825 is divided by 34.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20196 = 25*q + 82*q - 97236. Calculate the lowest common multiple of q and 24.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*j**2*x**2 - 11*j**2*x - 10*j*x**2 + 180*j*x + 2*j - 63*x**2 + 3*x wrt x?\nAnswer: 34*j**2 - 20*j - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 32. Suppose 0 = -3*b + 6*b - m. Solve 4*c = -b*d - 2 + 12, 2*d = -5*c + 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 41, 35, 19, -13, -67, -149?\n\"Answer: -j**3 + j**2 - 2*j + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 5054*l - 5058*l - 25 = -5*t + 35, -3*l - 40 = -5*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54186593.\nAnswer: 653, 82981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49 - -53. Let k be (-6)\/(-24) - (-7)\/s. Suppose 0 = 2*c + k, 5*n + 2*c + 2*c - 6 = 0. Solve n = -3*l + 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10370c7 (base 13) to base 11\nAnswer: -2866561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 5*w + 8. Let n = 13 + -10. Suppose -2*y**w + 6*y**n - 6*y**4 - 2*y**5 + 0*y**5 + 4*y**5 = 0. Calculate y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 38282.68 nanograms?\nAnswer: 0.03828268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-4))\/(3\/(-8)). Is 16 + (3 - 0\/w) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 u when four letters picked without replacement from {y: 4, u: 1, x: 5, p: 5, f: 5}.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0, 129, -5200 in decreasing order.\nAnswer: 129, 0.2, 0, -5200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w. Let b(m) = -3*m + 4. Let a(n) = b(n) - h(n). Let q be a(5). Let x be 2 - 2\/q*0. Solve -c + x*c + v = -3, v - 1 = -3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 1 - 4 + 2*b**2 + 1 as t + d*b**2 + i*b and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 1. Let p(m) = 2*m - 18. Let a(y) = 72*o(y) + 4*p(y). Let t(k) = -k**2. What is t(a(r))?\nAnswer: -64*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 136 + -128. Solve -c = -6*i + 4*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 3*v - 5*w - 3 = 0, 4*w + 12 = 4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24054?\nAnswer: 2, 3, 19, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -854.254 + -0.5.\nAnswer: -854.754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -f**2*j*o - 285075*f**2*j - 2*f*j - 17596*f*o - 2*o wrt o.\nAnswer: -f**2*j - 17596*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 6:41 PM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.01, 2\/7, 0.9, 60\/1109?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p**2 - 2*p - 2. Is 22 a factor of i(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -15*a**2 - 8*a - 5. Let j(q) = 44*q**2 + 23*q + 14. Let y(z) = -17*c(z) - 6*j(z). Let u be 2*-1 + (4 - 1). Give y(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1071313594.\nAnswer: 2, 13, 19, 2168651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/69721341 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/7)\/(45\/945). Let j be -2*(-2 - -4)\/(-4). Solve -j + n = h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*f + 2\/3 - 2\/3*f**2.\nAnswer: -2*(f - 1)*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*s**2 - 546501*s + 546501*s to j*s**2 + g + v*s and give j.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5068\/3783 - -8\/1261. Put 2\/9, -5, 5\/4, -0.2, y in decreasing order.\nAnswer: 5\/4, 2\/9, -0.2, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 250 and 950.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2275 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17969\/4 - 4530. Let j = x + 38. Which is the smallest value? (a) 3\/7 (b) j (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -8 + 4. Let l be (r*2\/8)\/((-7)\/42). Suppose 48 = 4*q - l*x, q + 3*x = -0*q + 12. Does 12 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0641346 - 0.0121452. Let k = c + -0.052. What is k rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 996401 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 191934*c**3 + 933308*c.\nAnswer: 1151604*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 6*u - 7. Let n(f) = -f**2 + 7*f + 7. Let v(s) = 3*n(s) + 2*z(s). Give v(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215271737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, w: 2, s: 1, k: 1, m: 1}. Give prob of sequence ws.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 12*h**2 + 18*h + 58. Give a(10).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w**5 + 102*w**4 + 6201*w**3 + 25398*w**2 - 13332*w - 18360 = 0. Calculate w.\nAnswer: -18, -5, -2\/3, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4042 is divided by 43?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35\/(-14)*(-18)\/15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4465628.\nAnswer: 2, 17, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 5*a - 4*a - 1 + 8. What is b(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 86812 and -220.\nAnswer: -19098640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -324, -257, -106, 171, 616, 1271?\nAnswer: 2178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + f + (-3 - 3 + 7)*(-4*f + 0*f + 5*f) - 3 + 3 + 2*f + f - 4*f + 0*f)*(0*f + 3*f + 0*f)*(-3*f - 2 + 2 + (-4 + 4 - 2)*(-4*f - 4*f + f)).\nAnswer: 33*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3, -5, -7, -9, -11?\n\"Answer: -2*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1483, -2983, -4499, -6031?\nAnswer: -7579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 100*y**4 - 5*y**3 - 7*y**2 - 67. Let j(w) = 50*w**4 - 3*w**3 - 4*w**2 - 34. Let p(k) = 5*j(k) - 3*t(k). What is the third derivative of p(c) wrt c?\nAnswer: -1200*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 206 - 208. What is the smallest value in 3, 6, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 760 and 1640.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4874 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-1))\/4*(-24)\/(-24)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 2:22 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 17*s - 10. Let z be k(13). Put -4, z, -1 in decreasing order.\nAnswer: z, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1295 and 5492095.\nAnswer: 1295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 divided by -1486?\nAnswer: -53\/1486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 12:25 PM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 4*l - 4*o, o = 0. Solve l = -9*s + 4*s + 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z. Let q(p) = -33*p**2 - 9*p - 2. Let o(w) = -2*w**2 - 3*w + 1. Let l(n) = -3*o(n) + q(n). Calculate l(f(a)).\nAnswer: -432*a**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*k**6 - 6*k**2 - 4*k**6 + 2*k**2 wrt k.\nAnswer: -1440*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 3810300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253068 is divided by 84353?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10ee1d - 31?\nAnswer: 10eddc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -44 in descending order.\nAnswer: 5, 4, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 2*k + 2*i - 16, 0 = 2*k - 5*i + 16. Suppose 3*l - 3*x + 0*x = 759, 1004 = 4*l - k*x. Is 22 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -47, 2 in ascending order.\nAnswer: -47, -6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1269396.\nAnswer: 2, 3, 37, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -981 (base 11) to base 15\nAnswer: -538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11715, 46803, 105275, 187125, 292347?\nAnswer: 420935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmm. What is prob of picking 2 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 2 = -3*y + h, 5*y - 4*h = 12. Suppose -3*a + 6 = -y. What is the second derivative of -2*j**a + 5*j + 4*j**2 - 2*j wrt j?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5992?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 294172 and 20?\nAnswer: 1470860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3 + 654569*o**2\/3 - 11901646295*o - 3967239675.\nAnswer: -(o - 109095)**2*(3*o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 304 and 5624.\nAnswer: 11248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of b**6\/120 + b**5\/12 - 13*b**4\/24 + b**3\/2 - 2*b**2 + 2. Let o be f(-7). Sort -5, 1, -14, o.\nAnswer: -14, -5, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**4 - 756*a**3 - 20388*a**2 + 143136*a - 198720 = 0. Calculate a.\nAnswer: -30, 2, 4, 276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (-4)\/(-16)*4. Let y be f*1 - (3 + -64). Suppose 2*l = 2*x - y, 3*l + 17 = x - 20. Solve m - x = 6*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26445970?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -51\/11, -0.2, -5, 0.0729, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.056*-4.3\nAnswer: -0.2408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*d**3*u**2 - 8*d**3 + 3*d**2*u**2 + 25*d**2*u wrt d?\nAnswer: 168*u**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2. Let i(b) = 2422782*b. What is m(i(n))?\nAnswer: 11739745239048*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.09 + 3.91. Let k = 2 + 0. Let i be 5\/19*(-6)\/15. Which is the nearest to 0.1? (a) x (b) k (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 636\/4770 + (516\/(-45))\/(-4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from affffffffaafffffffff. What is prob of picking 1 f and 1 a?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -64443 - 32013?\nAnswer: -126456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2003 + 1024234213?\nAnswer: 1024241221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 7*p. Suppose -2*t + 6*t - 28 = p. Let -23 + t*b**2 - 2*b + 23 = 0. Calculate b.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.06196, -10, -0.2, 3, 2\/583?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34148 and 10?\nAnswer: 170740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -107*i**2 + 198*i - 1302 - 198*i + 101*i**2 in the form k*i + d + a*i**2 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o - 8*o - 4*o**2 + 8*o to l*o**2 + t*o + f and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1301*v**2 + 653*v - 571 + 833 + 1296*v**2.\nAnswer: -(v - 131)*(5*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 6*j**2 - j - 8. Calculate x(4).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -775, -777, -779, -781, -783?\nAnswer: -785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -48860.20059 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1961 divide 1464194377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -974267, -974384, -974571, -974822, -975131, -975492, -975899?\n\"Answer: i**3 - 41*i**2 - i - 974226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -1*(-20)\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 4*b - 5. Let x(t) = -4*t - 4. Let c be -7 + 0 + 1*3. Let r be x(c). Let u = r - 16. What is h(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of d**6\/7 - 3*d**5\/7 + 3*d**4\/7 - d**3\/7 + 217. Let a(n) = 0. What is n?\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -25428*z**2 - 33*z - 3114. Let d(c) = 3178*c**2 + 4*c + 389. Let o(l) = -33*d(l) - 4*y(l). Find the first derivative of o(h) wrt h.\nAnswer: -6324*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)\/sqrt(3))\/sqrt(5) - 1*sqrt(45).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) + sqrt(187)*-1*-3)\/(-4*sqrt(275)))**2.\nAnswer: 17\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11665524407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 7 - (3 + 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.07 - 2.27. Let n = 0.5 + 1.5. Let p = a + n. What is the nearest to 0.1 in p, -4, -1\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1187140, 2374281, 3561422?\nAnswer: 4748563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -2566228*o**3 + 2*o + 4. Let z be v(2). Let q = z - -4994734. Round q to the nearest one million.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 504920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1518622, -3037242, -4555862, -6074482, -7593102?\n\"Answer: -1518620*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -5580\/2851 bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51379445?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5520 and 1836?\nAnswer: 3684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 7137.\nAnswer: -2141.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*b**2 - 15*b**2 - 15*b - 19*b**2 + 35*b**2 wrt b.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 4 + 12. Let m be (-14)\/(-10) + r\/(-10). Let d = -0.56 + 0.16. Which is the second smallest value? (a) m (b) 4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1114023 + 2?\nAnswer: 1114030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-22 - 3)*4\/(-10). Does 17 divide 20\/8*136\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + v - 2)*(811*v + 1451*v + 163*v) to q*v + l + y*v**2 and give y.\nAnswer: 2425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 118774391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -930 (b) -5 (c) -0.2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3470 - -3472. Sort 2\/15, 0.157, 5, x in decreasing order.\nAnswer: 5, x, 0.157, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 630 and 70.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6232027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27163 + 6.07.\nAnswer: -27156.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 4*g**2 + 4*g - 3. Let b be p(-5). Let a = 23 - -2. Suppose 5*f = a, -5*t = f - 0*f. What is the biggest value in -0.5, t, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, l: 2, u: 4}. Give prob of sequence uulq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -31*r + 2. Let f be w(-4). Let t be (-5 - 1)\/(36\/(-108)). Calculate the highest common factor of t and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 4*w + 6. Let j = 9 + -5. Determine s(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g - 5. Let m = -15 - -28. Suppose -x = -2 - m. Suppose 4*y - 6 = -5*v + x, -y = 4*v - 8. Let f(u) = u - 2. Determine y*q(p) - 9*f(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 109*b - 54*b - 20*b**2 - 55*b + 14 wrt b?\nAnswer: -40*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + g - g)*(-15*g**2 + 2*g**2 - 17*g**2 + (-3 + 2 - 1)*(-5*g**2 + 3*g**2 + 0*g**2)).\nAnswer: 52*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 4*j - 128. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6979289757*h**3 - 2 + 1 + 5*h - 5*h + 6979289755*h**3 + 1.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2318, -9250, -20804, -36980, -57778?\nAnswer: -83198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + i + 4*t = 4, -3*i = 4*t + 4. Suppose i*q + q = 3*n, -q = -3*n - 12. What is the tens digit of 2*((-1 - q) + 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/19)\/o)**(-1\/36)*o**15\/o**(1\/5) assuming o is positive.\nAnswer: o**(2817\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fsfs when four letters picked without replacement from {s: 5, f: 8}?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1aa3 - 27?\nAnswer: -201a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -7*s**3 - 79*s**2 - 13*s + 33. Calculate n(-11).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**3 + 123145*q**2\/4 + 2450687*q\/4 - 77065 = 0.\nAnswer: -20, 1\/8, 15413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 236932?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 15. Let u(p) = 3*p**2 + 3*p - 1. Let x(c) = 2 - 6*c**2 - c**2 + 1 - 7*c. Let o be (-12)\/9*((-1998)\/36)\/(-37). What is b*u(a) + o*x(a)?\nAnswer: -a**2 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (4 + 7 + (9 - 16))) + -25.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 951?\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*r**2 + 933 - 933 as q*r**2 + h*r + m and give q.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43281746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 minus 0.63?\nAnswer: -11.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2. Let w(x) be the first derivative of x**2\/2 + 2*x + 63. Determine -5*m(t) - 6*w(t).\nAnswer: -6*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21582784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -153*p**4 + 151*p**4 + 0*p + 5 - 3*p + p**3 - 7 in the form u*p**2 + z*p**4 + n*p**3 + f + t*p and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5229010 - 1?\nAnswer: -5229011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 130*u**2 + 9*u. Let v(y) = 74*y**2 + 5*y. Let l(g) = 4*r(g) - 7*v(g). Let o(d) = 6*d**2. Calculate o(l(j)).\nAnswer: 24*j**4 + 24*j**3 + 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (15488\/(-55))\/(23\/(-115)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58439 != 58441?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 54\/(-176) - ((-36)\/(-33))\/(-6). Which is the smallest value? (a) g (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j - 4*j = 2*p - 6, 2 = -2*j + 2*p for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (49 - 55) + (-1 - -10). Let q(v) = -v**3 - 5*v**2 - 6*v - 3. Let f be q(-4). Factor -1\/2*y**2 + 1\/2*y**f + 1\/2*y**4 + 0*y - 1\/2*y**u + 0.\nAnswer: y**2*(y - 1)*(y + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 169*c + 13. Suppose -2*d + 25 = 17. Let r be a(d). Calculate the highest common factor of 13 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 258377, 258376, 258375, 258374, 258373, 258372?\nAnswer: 258371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -23, -36, -63, -110, -183?\nAnswer: -288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**4 + 29*g**2 - 70*g**3 - 33*g**2 + 10*g**2 - 88*g**3 + 0*g**4 to z*g**2 + t*g**3 + q*g**4 + n*g + i and give t.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -342*i**5 - 23*i + 442*i - 13*i + 129*i**5 - 252*i**5 wrt i.\nAnswer: -9300*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**2 + 97629680*c = 0.\nAnswer: -97629680, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2772)\/(-495))\/(28\/(-480)*-3).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qxx when three letters picked without replacement from {x: 14, q: 4}?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 440448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**0)**19\/(y\/(y\/(y\/(y\/y**(1\/2))))*y**(2\/17)*y))\/(((y*y**(-1))\/y*y)**(-1\/9)*y**6\/y**(-8)) assuming y is positive.\nAnswer: y**(115\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -2*u**3\/39 - 4*u**2 - 102*u\/13 + 16. Factor i(z).\nAnswer: -2*(z + 1)*(z + 51)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347557 is divided by 115849?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -27 - (2\/(-1) - 1*-5). Let k = s - -86. Calculate the remainder when k is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 86874426*h**4 + 90366*h + 1184 wrt h.\nAnswer: 1042493112*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -55 - -7c7845?\nAnswer: 7c77d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -1833*j. Let p(f) = -36*f**2 + 3. What is p(x(b))?\nAnswer: -120956004*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.5 - 1.5. What is the second biggest value in 0.1, z, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100010 + -101?\nAnswer: -101100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 5:18 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1963, 4069, 6175, 8281, 10387?\nAnswer: 12493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11014121 (base 9) in base 13?\nAnswer: 11453b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2028 divided by -6.\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/23149 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237*d - 119*d - 120*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 = 40*q - 121 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/3)\/(7\/(-63)). Let x = 3 - z. Suppose x*j - 3*j = -r - 1, -4*r + 2*j + 36 = 0. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2172, -2194, -2228, -2280, -2356, -2462, -2604?\nAnswer: -2788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.4, 0.3, 37\/5, 0.0559, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 148494 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + 5945954?\nAnswer: 5945954.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -5, 0.05, 4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 0*d**2 + 0*d**2. Let i(j) be the second derivative of -2*j + 0 + 0 + 4*j**3 - 3*j**3. Give i(b(l)).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.55501 - -0.05501. Let r be ((-2)\/4)\/((-22)\/(-8)). Are r and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108 and 90?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1464038 - -1464358.99776. Let q = -321 + o. Round q to four decimal places.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 2.2. Let a = n - -0.2. Let k = -1360\/251 - -19898\/3765. What is the nearest to -1 in k, 1\/3, a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60101.\nAnswer: 60101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d - 2. Let g(u) = 3*u + 5. Let n(v) = -v - 2. Let j(x) = 3*g(x) + 8*n(x). Suppose 0 = 19*s - 25*s + 1122. Let y = 182 - s. Determine y*j(z) + 4*p(z).\nAnswer: -z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-5)*(3 - (-46)\/(-12)). Suppose -4*b = -8*b + 8. Factor v + r + 1\/3*r**3 + r**b.\nAnswer: (r + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*d + d - 2*x, -d + 9 = x. Let m be (d\/6)\/((-4)\/(-6)). Suppose 2*f + f = m*n + 64, 5*f + 2*n - 96 = 0. Solve 2*q = 6*q + f for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -6*j + 27. Put 5, j, 2, 4 in descending order.\nAnswer: j, 5, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2 + (((1 + sqrt(720))**2 + 0 + 3)*3 + 4)*-4.\nAnswer: -8697 - 288*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 1. Let w = -11 - -17. Let m be g(w). Let y = 15 + m. Calculate the highest common divisor of y and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 4576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4 + -0.46. Let l = s + 0.82. Round l to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011 - -1011111110110010111?\nAnswer: 1011111110101101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/42 and (186\/56)\/((-144)\/128).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**6\/15 - y**5\/2 - y**4 + 212*y. Find c, given that n(c) = 0.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-9100)*20*-247)\/((-1)\/20)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-5\/12))\/g*g**0\/g*g*g**(-32)\/(g*(g**(-10\/11)*g)\/g))**(-36) assuming g is positive.\nAnswer: g**(12873\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 208275523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1557287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3370743191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 l when two letters picked without replacement from mslslnqmfssmssmm?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-2)*(-80)\/6. Let k = -24 - t. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 t when three letters picked without replacement from {y: 4, k: 1, s: 5, t: 2, v: 2}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 234, 361, 142, -777, -2750?\nAnswer: -6131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34793505?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -38*v**3 + v**2 - 2*v - 32. Let x(j) = 6*j**3 + 1. What is g(q) + 6*x(q)?\nAnswer: -2*q**3 + q**2 - 2*q - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-10)*(603\/(-72) - -9). Which is the fourth smallest value? (a) 17 (b) -0.3 (c) -1 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 900*g**5 + 190560*g**4 + 515236*g**3 + 228632*g**2 - 90256*g + 6688 = 0?\nAnswer: -209, -2, -1, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(7) - (sqrt(63) + -4) - sqrt(7) - sqrt(7)))**2.\nAnswer: -512*sqrt(7) + 2048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23231 (base 4) to base 13.\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14144 + 169729\/12. Let u(b) be the third derivative of 0*b - 25*b**2 + 0 + 0*b**3 + s*b**4. Let c(i) = 42*i. Calculate u(c(a)).\nAnswer: 84*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 27 and 0.4421?\nAnswer: 11.9367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 5:19 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 486301.1 to the nearest 100.\nAnswer: 486300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.1 - 105.1. Let g = u - -104. What is the closest to 3 in 1, 2\/9, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 633 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2703673507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 356 + -353. Let l(i) be the first derivative of 2 + 0*i + 0*i**2 + i**4 - 5\/3*i**u. What is the third derivative of l(j) wrt j?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of 0*z**2 + 77 - 4*z + 11\/3*z**3 + 59\/4*z**4. What is the third derivative of w(s) wrt s?\nAnswer: 354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + k + 3 = 0. What is the remainder when (-2)\/k - (-62)\/1 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -12*g - 134. Let w be m(-11). Suppose 3*k + 9 = -6. Sort 3, w, -1, k in increasing order.\nAnswer: k, w, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00304681174 to seven dps.\nAnswer: -0.0030468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49536 + 10600763\/214. Do -1 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of v**2 + 5\/24*v**4 + 0*v**5 + 0*v**6 + 0*v - 1\/210*v**7 + 0*v**3 + 0. What is the second derivative of w(x) wrt x?\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 119 = -0*g + 2*g, -p + 112 = -5*g. Suppose -15*j + 12*j + p = 0. Calculate the highest common divisor of 6 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s - 3*v - 610 = -18*s, -4*v = s - 99. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**3\/4 + f**2\/4 + f - 1 = 0. What is f?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 517 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 48459.63ml?\nAnswer: 48.45963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((4 + 1 + sqrt(245) - sqrt(245)) + 2*sqrt(45)*1)**2.\nAnswer: -615 - 180*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/2)\/((-21)\/14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -373 - -372.5. What is the nearest to 1 in j, 3\/5, 3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -b**3\/6 - 43*b - 28. Let v(q) be the first derivative of s(q). Let p(c) = -3*c - 4*c + 2*c. Determine v(p(l)).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x + 60 + 72. Suppose 4*b + 164 = 3*o - 0*o, 3*b - 59 = -o. Let r = -13 + o. What is the remainder when r is divided by x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -11*w**2 + 2*w**3 - 11*w - 11*w**3 - w**3 - 5. Let x(b) = 2*b**3 + 2*b**2 + 2*b + 1. Calculate 2*g(d) + 11*x(d).\nAnswer: 2*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**3 + 4*z**3 + 0*z**3 + (-2*z + 0 + 0)*(4*z**2 - 5*z**2 + 3*z**2) - 25*z**3 + 14*z**3 + 0 - 1 to the form b*z**2 + h*z + n + p*z**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**2 + 6*r - 38. Let u be g(-5). Suppose -130 = -u*x - 39. Solve m - 4*m = 12, -5*a - x = -3*m for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 8*m**2 - 19*m - 20. Let x be b(11). Suppose 0 = 4*y - 6*v + 3*v - 509, -3*v - x = -y. Round y to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2878039354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z + 1968 = -55*z. Let y be (-74)\/(-3) - z\/144. Solve 5 = y*n - 20*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) -3 (b) 2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*m**3 - 51*m**2 + 8259?\nAnswer: 36*m**2 - 102*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -667608.29 to the nearest 1000.\nAnswer: -668000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*b - 233 - 71 = 0. Find the common denominator of b and 62\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 77 + -75. Solve -2*b - 4 = 4*o - 0*b, f*b + 5 = -5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -112*m**4 - 7*m + 99*m**4 + 87*m + 48*m + 398*m**4 wrt m?\nAnswer: 4620*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*o = -2. Suppose 0 = -6*h - h - 567. Let d be h\/15 - -1 - (-4)\/10. Sort o, 4, d in decreasing order.\nAnswer: 4, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/145 and 59\/42224.\nAnswer: 211120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 858 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + -1)*-1.\nAnswer: -10*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380 = -284*o + 472 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 7:19 AM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 236*c - 1102. What is the hundreds digit of u(67)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 16\/869, 2\/9, -2?\nAnswer: 16\/869","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-1)*b*b**2*(b**1)**22 assuming b is positive.\nAnswer: b**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) + -4)*2 + -3)**2.\nAnswer: -220*sqrt(17) + 1821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**5)*j*j)\/(j*j**(1\/3)))\/((j\/(((j*j*j**1)\/j*j)\/j))\/j)**(-36) assuming j is positive.\nAnswer: j**(-229\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 171*r + 85*r - 24 = -88*r, 0 = 33*v + 2*r - 285 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 17*m + 8. Let z be l(0). Solve -11 = z*x + 13 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + 13684.\nAnswer: 13688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 387, -3, -16, 6003 in decreasing order.\nAnswer: 6003, 387, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -29 in 1\/6, -3, -26906?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 != -1846959?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-1)\/2)*(-2)\/10?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqkqkq. What is prob of sequence kq?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.7 + 12.7. Is s > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17621032 divided by -5486.\nAnswer: -3212","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 692\/5 + -138. Sort o, 3\/5, 4\/7, -3 in decreasing order.\nAnswer: 3\/5, 4\/7, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.02442056 - 34.475.\nAnswer: -35.49942056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 168*s**2 - 382*s + 2. Let x(p) = 29*p**2. Calculate o(x(k)).\nAnswer: 141288*k**4 - 11078*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/((-10)\/(-4)))\/(-3). Let b = 7 + -11. Sort 5, t, b in decreasing order.\nAnswer: 5, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12882 - -2505?\nAnswer: 15487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -7*k**2 - 15*k + 4. Let p(m) = 8*m**2 + 14*m - 5. Let c(t) = 5*g(t) + 4*p(t). What is the second derivative of c(o) wrt o?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w**4 + 366*w**3 - 965*w**2 + 618*w = 0. Calculate w.\nAnswer: 0, 1, 2, 309\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4961 and 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7805 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tq when two letters picked without replacement from {k: 5, q: 3, h: 2, t: 2, n: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**2 + 17*n**2 - n**2 - 11*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j + 3. What is the units digit of c(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/27, -4, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 757.\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -217*f**5\/20 - 49*f**3\/6 - 51*f. Let q(g) = 9*g**3 + 2*g. Let o be (-7)\/(231\/60) - 6\/33. Calculate o*t(m) - 49*q(m).\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37858, -37864, -37874, -37888, -37906?\nAnswer: -37928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 503 + -573. Let p = o - -135. Solve 0 = -18*s + 5*s + p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - ((19 - 9 - -4) + -6 - 9).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w = 58*w + 480 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1453\/4 + -2320449\/6388. Which is bigger: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/4 greater than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(104) - 4*(sqrt(104) + sqrt(104)*-2)) + sqrt(104))\/sqrt(8))**2.\nAnswer: -12*sqrt(13) + 469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 357\/(-210) + 2940\/(-200) + 15\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(57)\/sqrt(3) - ((sqrt(76) + 2)**2 + sqrt(76)) - (-6*3*sqrt(1216) - sqrt(1216))**2.\nAnswer: -439056 - 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 12, 28, 52, 84, 124?\n\"Answer: 4*j**2 + 4*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.14*-4\nAnswer: -0.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 3 - (0 + 1). Suppose -3*m + 3*h = -60, -m = 4*h - u - 10. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 568 + -569.6. Which is the closest to r? (a) 4 (b) 0 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14790885 is divided by 547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -11010010?\nAnswer: 11010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) + -1)*-1)**2 + (5*sqrt(567)*3 - sqrt(567)) - (((2 + sqrt(567))*1)**2 + -3*sqrt(567)*-2).\nAnswer: -3 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -5*r**2. Let a(f) be the third derivative of f**7\/5040 + 2*f**5\/3 + 47*f**2. Let l(v) be the third derivative of a(v). Give l(h(p)).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2 = 2, -4*s - 6 = -5*y. Suppose -y*l - 2*l + 13 = 5*j, -4 = -4*j. Solve 0*n = -l*n + 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 4. Let i = a - 0. What is the biggest value in -0.5, i, -2\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 199*-1 + (-2 - -3). Let y = -1388\/7 - a. Is y at most -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*j**4 + 6*j**3 - 5*j**2 - 204*j - 13.\nAnswer: -252*j**2 + 36*j - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (99\/(-66))\/((-8)\/(32\/(-2)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j + 29571 = 3783. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s + 1. Let c(d) = 3*d - 4. Let i(q) = -c(q) - 4*y(q). Let f(m) = -363*m**2 + 725*m**2 - 368*m**2. Give i(f(j)).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 divided by -158?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 - 468878622*j + 18320596847384907.\nAnswer: 3*(j - 78146437)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -804 * 0.7.\nAnswer: -562.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 w when two letters picked without replacement from {w: 2, b: 3, o: 6, a: 2, k: 1}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 8*h - 4. Let m be o(-7). Let c be (-6)\/(-4)*10\/m. Calculate the greatest common factor of 35 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, b: 4, a: 5}. What is prob of sequence aana?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*j + 389*j - 2 - 63*j - 88*j - 106*j.\nAnswer: 40*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -1. Let i = 4188 + -4189. Let p(s) = 66*s - 33. What is i*p(k) + 33*y(k)?\nAnswer: -66*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**2 - w**2 + 0*w**2 + (5*w**2 - 8*w**2 + 8*w**2)*(2 + 1 - 5) + 5*w**2 - 2*w**2 - 2*w**2.\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 + -29563.6.\nAnswer: -29569.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -92120, -92042, -91964, -91886, -91808?\n\"Answer: 78*l - 92198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = f - 5, 3*q + 23 = 6*f - f. Is (-376)\/(-6) - f\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 335581202 to the nearest one million.\nAnswer: 336000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/13, 0.4, -605.57?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10\/10*0\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -3931\nAnswer: 15724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 10*f + 5. Let n(v) = v. Let m(k) = j(k) + 5*n(k). List the prime factors of m(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 divided by -1503504?\nAnswer: -2\/31323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, p: 2, b: 3, f: 1, w: 1}. What is prob of sequence fb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 4*z**2 - 6*z + 5. Let b be m(-5). Let g(u) = -2 + 0 - u**2 + 13*u + 2. What are the prime factors of g(b)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 42 = 5*b - 5*f, -5*b - 18 = 4*f. Let i be (16\/28)\/(b\/315*-5). Solve i*k + 42 = 12 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**2 + 112*u - 110. Let r be q(55). Sort -2, 5, -4, r in decreasing order.\nAnswer: 5, r, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 367 + 366 = t, 0 = -t - 1 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 4, 63, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of c**3\/18 + 62*c**2\/3 + 7688*c\/3 + 776. Find r, given that g(r) = 0.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**2. Let v(z) = -367*z**2 - 3*z + 2*z + 2*z - z. Determine s(v(h)).\nAnswer: 404067*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (-64)\/6*(-4 + 169*5\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (567\/18)\/(1\/2). Let p = a + -52. Let t(l) = 2 + 13*l - p*l - l**2 - 8*l. Determine t(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 14, y: 2, a: 1, u: 2}. Give prob of sequence ufa.\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*x + 12 = -25*x. Suppose 9 = 2*p + 3, x*p - 7 = u. Which is the closest to u? (a) 1\/4 (b) 0.2 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18127 + -17456. Calculate the remainder when t is divided by 149.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -142 + (-9 - -25 - 4) + 1 - -11 - -1?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (556 - 3*v**2 - 556 + 13*v)*(0 - v**2 + 0) in the form r*v**3 + a + p*v**4 + x*v**2 + y*v and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 - 12230?\nAnswer: -12203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40 + 29. Let v be 8*-1*(-9)\/6. Let o = v + t. Solve -o = -5*q + 14 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 8*t - 27 = -4*m, -6 = 2*t. Solve -m*g = -3*h, 0*h = 2*h + 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b**2 + 17*b + 237. Give t(-16).\nAnswer: -803","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 13) to base 11\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3183 or -3120?\nAnswer: -3183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a milligram in nanograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.75 + 23.75. Let f = b + -21. Sort 5, 1, f in descending order.\nAnswer: 5, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1850*r + 1900 = -2325*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 5*l + 31 + 4, 5*l + 26 = -4*z. Calculate the remainder when (-1)\/(3\/z) + 60 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-70)\/(-4))\/(-7)*(-576)\/60?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, m: 1, q: 2}. What is prob of sequence qmc?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39.39580351 - 39.396. Round i to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1043351, 1043345, 1043339, 1043333, 1043327?\n\"Answer: -6*f + 1043357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 434454 is divided by 434440.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**0\/l)\/l)**(-3\/11)\/(l**(-2\/41)*l**(1\/11)\/l*l))**(1\/44) assuming l is positive.\nAnswer: l**(227\/19844)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*l**3\/5 + 93*l**2\/5 - 145*l - 7569\/5 = 0. Calculate l.\nAnswer: -29\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**3 + 10*k**2 - k - 6. Calculate a(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 12:32 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1401620?\nAnswer: 2, 5, 11, 23, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2178596 a multiple of 288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3 + 15. Let j(d) = 0*d**2 - 3*d - 14 + d**2 + y. Let r(l) = 4*l**2 - 8*l - 5. Let a(g) = -7*j(g) + 2*r(g). Factor a(w).\nAnswer: (w + 1)*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 4:36 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 3. Suppose -3*a + a = -f. Suppose 4*n - 15 - 33 = -a*v, 0 = -5*v + n + 60. What is the smallest common multiple of 14 and v?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4\/7)*y**(1\/35))\/(y**(3\/11)\/(y\/y**32)) assuming y is positive.\nAnswer: y**(-12249\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(-21) + 40\/12 + -2.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i = 4*i + 320208. Suppose 53*x - 11052 - i = 0. What are the prime factors of x?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 7*b - 1465. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6619 is divided by 351.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.71 - 0.61. Let g = -548\/1869 + 2\/267. What is the nearest to y in 1, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -235\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 120*m - 873. Determine v(14).\nAnswer: 807","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c**3 + 16*c**2 + 5*c + 3. Let t be p(-5). What is the first derivative of 3*g**t + 2*g**3 + 4*g**3 - 2 - 7*g**3 wrt g?\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 23*t = -120 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 g when three letters picked without replacement from {g: 5, j: 3}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 + 109. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*h**2*t**2*w - 22*h**2*t**2 - 2*h**2*t*w - 14*h**2*w - 2*h*t*w + 2*t**3 wrt t?\nAnswer: -6*h**2*w - 44*h**2 + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 52*i**2 + 58*i - 108. Let h be d(53). Solve 6*f = 181 - h for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of 2*w**2 - 1\/12*w**4 + 2\/3*w**3 + 17*w + 0. Determine a(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 2*k - 5*k)*(-4 + 1 + 4).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-3 + (4 + -2 - -2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -134241200 to the nearest 100000.\nAnswer: -134200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2221 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8683955 and 2632.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40329201 is divided by 5038.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1389*d**2 - 696*d**2 + 545*d**4 - 693*d**2 + (-4*d**3 - 2*d**3 + 4*d**3)*(-2*d - 2*d + d).\nAnswer: 551*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1175 and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*f - 34. Suppose -5*s + 2*p = -10 - 7, 3*s + f*p = 35. Suppose -s*b = 0, 0 = -o + 6*o - 2*b - 360. What is the greatest common factor of 9 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -252 + 384. Suppose -216 = -25*f + 7*f. What is the highest common factor of y and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.82 - -7.18. Put 0, -1, o, -3 in ascending order.\nAnswer: -3, -1, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 1)*((1 + 0 - 5)*(3*c + c - 2*c) - 3*c + 2*c - 2*c - c + 2*c - 3*c) in the form z + u*c and give u.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 675*a - 671*a = 6800. Suppose a = -90*w + 100*w. Calculate the remainder when w is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w - 1. Determine u(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1200 and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -151 - -150. Let c(d) = 19*d**2 - d - 1. Determine c(n).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 19*u + 18. Suppose 25*m = 52 + 98. What is the smallest common multiple of i(-19) and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-nine fifths of a litre?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -3*w**2\/2 + 2*w - 77. Let b(a) = -a + 1. What is -8*b(k) + 3*d(k)?\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -w**4\/24 + 160000*w**3\/3 + w**2. Let p be l(0). What is p rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6898 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*c + 2*y = 6, -21 = 4*c + y. Let d be 7 + 1 + c - -1. Find the third derivative of d*n**5 + 7*n**2 - 4*n**5 + n**2 + 8*n**5 wrt n.\nAnswer: 540*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -v**7\/16380 + v**6\/1560 - v**5\/390 + v**4\/4 - v. Let n(g) be the third derivative of h(g). Determine x so that n(x) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112)*1*5*5 + 1)*1)**2.\nAnswer: 200*sqrt(7) + 70001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**2 - 32*v + 12. What are the prime factors of b(23)?\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-three fifths of a century?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c + 25*c - 248 = -3*s, -4 = s. Let v = c + -48. Solve -v*h - 3 = 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/42 and -17\/11669.\nAnswer: 70014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-3))\/(5*2\/90). Let k = 822 - 821. Which is the nearest to k? (a) -1\/9 (b) x (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*b**2 - 2*b**3 - 7*b**2 - 22*b**2 - 18*b**2 - 1 + 94*b**4 + 51*b**2 as u*b**2 + r*b + k*b**4 + y*b**3 + c and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 120.2 - -70.3. Let i = c - 244. Round i to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -758*w**3 - 712.\nAnswer: -2274*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -1\/3, -0.04742, 4, 1?\nAnswer: -0.04742","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10416 by 84.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3517 = -4*p + 106, 3*v - 4*p - 3655 = 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 962053760 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 99*b**2 - 98*b - 59. Let c be i(100). Which is smaller: c or -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10209548, -20419098, -30628648?\nAnswer: -40838198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(40)\/(-1*sqrt(128)))**2*-6*-4.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9000)\/75)\/(-60)*2\/34.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y - 568300. Let v(x) = x**2. Give g(v(d)).\nAnswer: -d**2 - 568300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1184789177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 99, -0.1, 116, -1 in descending order.\nAnswer: 116, 99, 5, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-42)\/(-105) - 11\/(275\/60). Let f = 9 + -4. What is the smallest value in -3\/2, f, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55 + (27\/6)\/(6\/(-8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/10 - 40439\/1855\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*l + 193 = 953 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 661 = 15*a - 2189. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -317910 divided by -10\nAnswer: 31791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -7*u**2 + 2*u. Let c(d) = 3*d**2 - d. Let f = -25 + 29. Let t(j) = f*h(j) + 10*c(j). Let r(i) = -3*i**2 + 2*i. Calculate -4*r(q) - 5*t(q).\nAnswer: 2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 232\/(-8) - (1 - 0)*1. Let x = d + 39. What is the remainder when -1 - (-2 - -23)*-1 is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23035 by 1.\nAnswer: 23035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a8b99 - -197?\nAnswer: 1a9063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**2\/8 - 17*r\/2 = 0.\nAnswer: -68, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 584.76471 to the nearest integer.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4499, -8995, -13491, -17987, -22483, -26979?\nAnswer: -31475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -1019*a - 1045. List the prime factors of t(-6).\nAnswer: 37, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/2)*x**(-3))**(2\/3) assuming x is positive.\nAnswer: x**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 727, 737, 751, 769, 791?\n\"Answer: 2*t**2 + 4*t + 721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**3 + 8*t**2 + 4*t - 5. Let s(i) = -i**3 - 7*i**2 - 5*i + 5. Let r(d) = 2*a(d) + 3*s(d). Let q be r(6). Which is greater: q or -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 834 and 520 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkjjkajkjkak. Give prob of sequence ajk.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 513.4 + -619. Let y = -107 - o. Is y at most as big as -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17 + 2*h**2 + 2*h + 3*h**2 - 20 + 6*h**2 - 4*h**2 + 6*h**2 + (-2 + 3 + 1)*(-5 + 5 - h**2).\nAnswer: 11*h**2 + 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does -836039 = -836016?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + p**2 + 93. Let v(k) = -k**3 - 4*k**2 + 13*k + 6. Let n be v(-6). List the prime factors of q(n).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 5:09 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 14\/3, 0.1, -2\/3, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2325 + 4555. Suppose -5*m - i = -7*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*h + 84 + 102 - 167 to i*h + q and give q.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 7:06 AM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {h: 2, g: 4}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35530 divided by -1.\nAnswer: -35530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, h: 1, k: 1, s: 3, b: 1}. Give prob of sequence hbk.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 185, 197, 209, 215, 209?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4427 divide 100120475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 132 + -73. Suppose -q = -2*f + 323. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -9*w - 30. Let l(k) be the first derivative of k**2\/2 + 3*k - 1421. What is 2*d(s) + 21*l(s)?\nAnswer: 3*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**2 + u - 1117 - 3*u + 2*u - 191 to the form f*u**2 + a*u + h and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**2. Let a(v) be the third derivative of 2459*v**5\/15 - 282*v**2. Determine a(w(i)).\nAnswer: 39344*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 334878953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 70\/3 - 23. Let a(j) be the second derivative of -1\/2*j**2 - v*j**3 + j + 0. What is the derivative of a(n) wrt n?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 114*j + 2506. What is the smallest common multiple of w(119) and 392?\nAnswer: 15288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1, 4, 319, 1.5, 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -3*d + 67, 5*d - 137 = 2*a - 77 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in -0.02, 0.1, -11?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 8 = -4*z, 18*z + 4*d - 411 = -517 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/10*(-15)\/(-6) + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 276 = 2*l - 128, -57*q - l - 6168 = 1586 for q.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -106 + 43. Let l = 56.2 + w. Let c = l + 6.80031. What is c rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1652.43 + -1652. Let m = 82565917 + -82565917.42999987. Let y = m + o. Round y to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0*o + 10 + 6*o - 10.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 35*a - 10875. Suppose 10*y - 3375 = -a. Does 26 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -278.31918 and 198.\nAnswer: -80.31918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 13*o + 16. What are the prime factors of b(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 15, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -38.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (5\/(-15))\/(1\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 6:00 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-10)\/(-6)))\/((-423)\/846)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -868*j**3 - 2316*j**2 + 3737158 wrt j.\nAnswer: -2604*j**2 - 4632*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101, -205, -309?\nAnswer: -413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/10*(-230)\/(-46).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 0)*1 - -3. Let r be (-2454)\/63 + g\/(-3). Let y = r + 39. Is y at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8659 and 0.383.\nAnswer: -8658.617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1753 (b) 5 (c) -46 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + 1)*(18677\/1805 - (-14)\/266)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.3 (b) 0.7 (c) 2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**2 + 3*k + 3. Let g be o(3). Let b be (-14)\/(-147)*(-14)\/g. Is b at least as big as 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-1 + (-22 - (-4 + -7)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*y**3 - 1165*y**2 + 1910*y - 760.\nAnswer: 5*(y - 76)*(y - 1)*(3*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 437121 (base 9) to base 6.\nAnswer: 5332414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 29081 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, e: 2, r: 8}. What is prob of sequence llll?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -266 - -6?\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51.217 + -0.217. Let g = t + -52. Do 2\/49 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/25, 22855, 1, 8 in increasing order.\nAnswer: 1\/25, 1, 8, 22855","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 810 and 330.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from dwddww?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + -1*sqrt(75) + sqrt(75) + -3)**2.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1593995 is divided by 81?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -0.20992?\nAnswer: -0.60992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 44 (b) -80 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f**4 - 3*f**4 + 7*f**4)*(146 - 20 - 69) to v*f**4 + m*f + c + h*f**3 + k*f**2 and give v.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10 + -333*261\/(-27)?\nAnswer: 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78)\/10 + (-10101)\/2405?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 8*l**2 - 8*l + 12. Let k be z(7). Suppose c - k*c + 4*r = -460, 2*r = -c + 130. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57301*o**3*y**2 + o**3*y - 87*o - 1230*y**2 + 9 wrt o?\nAnswer: -343806*o*y**2 + 6*o*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a\/a**1)))**40*a**(7\/2)\/a**(-4\/3) assuming a is positive.\nAnswer: a**(29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.109 times 8\nAnswer: 0.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -114 (base 7) to base 3.\nAnswer: -2020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 70 - 41. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1871.8866 minutes to hours.\nAnswer: 31.19811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0438? (a) 1 (b) 3\/7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*k, -4*k = -4*b - b - 16. Let i be (b - 1)*(6 + -7). Let q(f) = -f**2 - f. Let r be q(-1). Put r, i, -4 in increasing order.\nAnswer: -4, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29586 is divided by 531.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117 + -142 + (12 - -11).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -141 divided by -3?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p + 10*p - 3*p - 14*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 154 or 155?\nAnswer: 154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -3\/4*o**6 - 2*o**4 + 0*o**2 + 3 + 0*o - 2\/3*o**3 - 21\/10*o**5. Factor s(j).\nAnswer: -j**2*(j + 1)*(3*j + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v + 1. Let n be s(0). Let y(j) = -3*j**2 + n - 5*j - j**2 + 3*j**2. What is the units digit of y(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3*-11)\/(349*(-3)\/(-31410))\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5 = 1. Let r be (-493)\/(-6) - m\/(-24). Suppose 3*b - 231 = 2*s, 2*s - r = -b + s. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 3\/5, -36\/29, 5.6?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9006*c - 9237*c - 41405 = 8979*c - 27677*c for c.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (-2 - 1) + 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 6*24\/(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5*-2*sqrt(117) + 1 + (-6*sqrt(117)*-1 - (sqrt(117)*2 + -1)))**2.\nAnswer: -4216 + 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 6*a**2 - 713*a - 26918. Give n(149).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -81.3 + 86. Let i = -4.586 + v. Round i to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.645731 to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 4:41 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*s - 2*j - 16 = 0, 2*s = 2*j - 12. Suppose 5*p = -5*o + 30, 2*o - 8 = 2*p - o. Suppose -q + p*q = 5. Sort s, 4, q in descending order.\nAnswer: q, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2231 * 0.09149\nAnswer: -204.11419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214551196.\nAnswer: 2, 41, 97, 13487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 44\/(2\/(-2)*(-10)\/15). Suppose -t - 5 = 0, 12 + 9 = -2*h - t. Let x be (w\/(-8))\/((-2)\/h). What is x rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 130c (base 15) to base 11\nAnswer: 3063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-1*4\/250*5.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 45392157 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1280624, 1280621, 1280618, 1280615, 1280612, 1280609?\nAnswer: 1280606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5*o**2 - 56*o + 16. Let m(n) = -2*n**2 + 19*n - 5. Let f(j) = -8*m(j) - 3*r(j). Let v(u) = u - 2. Let a(c) = f(c) - 4*v(c). Factor a(l).\nAnswer: l*(l + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 - 32. Solve 2*v = 4*v + 4*r, -3*v + 4*r + k = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -324 + 324 - 7*k**2. Let f(d) = -d. Give b(f(j)).\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 7:16 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1307 divide 126543546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1 - 1 - -90 - -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3b0b (base 12) to base 9\nAnswer: -10262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255175581 = 101*c + 183*c - 1872382019. Round c to the nearest 100000.\nAnswer: 7500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*k**3 + 1799*k - 13 - 1799*k + (-2 + 2 - k**2)*(-k + 0*k - 2*k) + 0*k**2 - 2*k**3 + 0*k**2.\nAnswer: -18*k**3 - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (97 - -1) + -3 + (-10)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w**2 + w**2 + 2*w**2 - 65*w**2 - 12*w**2 + 1066*w**2 + (1 - 2*w - 1)*(2 - w - 2).\nAnswer: 989*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -n + 27, i - 75 = -3*i + 5*n. Is 3 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 137944.9 nanoseconds to seconds.\nAnswer: 0.0001379449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 1667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h**5 + 2*h**4 + 15*h**3 - 14*h**2 - 4*h. Let x(o) = o**4 - o**2 + o. Let l(n) = -d(n) - 4*x(n). Factor l(r).\nAnswer: 3*r**2*(r - 3)*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.8603 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -146 + 145. Which is the third smallest value? (a) 0.4 (b) 1\/36 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 11*s + 9. Let d(x) = -2*x**2 - 3*x. Let o be d(-2). Let w be (6\/(-4) - o)*6. Let l(u) = 5*u + 3 + 2 + w - 4. What is 4*j(f) - 9*l(f)?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (37 + -3 + -4)*1\/3. Let j(k) = 3 - 6 + 8*k + s + 3 - k**2. What is the remainder when j(8) is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*r - 33*r = -46*r + 11*r + 1729 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10635, 10636, 10637?\nAnswer: 10638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-206692)\/(-7) + 387\/(-903) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1320 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 11*y**2 + y + 7. Let c be i(-11). Let v(k) = 3*k**2 + 8*k - 4. List the prime factors of v(c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*r - 469 = -28*r. Sort -1, r, 2, -3 in decreasing order.\nAnswer: 2, -1, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002940132 rounded to seven decimal places?\nAnswer: -0.0000294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + z + 3*a + 557, 4*z - 5*a = 555. Is z a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 6)*(5*h + 0*h - 2*h) + 286 - 585 - 3*h + 281.\nAnswer: 18*h - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (0 + -2 + -2*((sqrt(1100) - -1*sqrt(1100)*5) + 4)*6)**2.\nAnswer: 72000*sqrt(11) + 5704903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 846*v - 4529. Give g(3).\nAnswer: -1991","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1230668 or -1230658?\nAnswer: -1230658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-644)\/4347*9*(-402)\/8.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -5*a**3 + 3*a + 3. Let m(q) = -q**3 + q**2 + 1. Calculate 3*m(h) - n(h).\nAnswer: 2*h**3 + 3*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5961?\nAnswer: 3, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*r + 267*r + 31*r.\nAnswer: 465*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 167)*(-1)\/(-2). Let n = 21 + y. What is the remainder when 21 is divided by 1\/(2 + n\/33)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 715 and 65.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 2*z + 23. Let y be g(5). Let a be y\/42 - ((-52)\/(-12) - 4). Let b = 5 + 0. What is the third biggest value in a, b, 0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2242*b**2 + 749*b**2 + 175*b**2 + 690*b**2.\nAnswer: -628*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/12 - (-25)\/20 - 8. Let o(q) = 5*q - 20. Let d(j) = -3*j + 14. Let f(h) = w*d(h) - 5*o(h). Give f(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1451 and -7896?\nAnswer: 9347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/30)\/((-8)\/18)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6289?\nAnswer: 19, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 104*w - 105*w + 6 = 0, 2*w - 12 = -4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/3))**41)**(-33)\/((v**(-1\/3)\/v)**32\/(v**(-1)\/v)**5) assuming v is positive.\nAnswer: v**(-2608\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-36)*(-90)\/15.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9237?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 1391279.\nAnswer: -5\/1391279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - sqrt(68)*-2)*-4 - (sqrt(68) + (sqrt(68) - 3*sqrt(68))*5))\/(-1*((sqrt(112) + sqrt(112)*1)\/sqrt(7) + sqrt(16))).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-5 + -1*sqrt(931)))**2.\nAnswer: 1120*sqrt(19) + 15296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 110359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.34 + 1.47. Let o = -1.79415 - m. Let b = o + -0.078. What is b rounded to 4 dps?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*2\/27 - 350\/441\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**4 + 0*u**4 + 5*u**4 + (-4 + 4 - 4*u)*(0 + 43 + 15)*(u**3 + u**2 - u**2) as m*u**2 + c*u + d*u**3 + x*u**4 + q and give x.\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 20*a - 114. Let i(p) = 7*p - 38. Determine -6*b(w) + 17*i(w).\nAnswer: -w + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 29*0.86\nAnswer: 24.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 29 + (-5947)\/76 + 46\/(-8)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23249 + 23268. Put 0.04, -4, -5, r in decreasing order.\nAnswer: r, 0.04, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1369, -1357, -1339, -1321, -1309, -1309?\n\"Answer: -r**3 + 9*r**2 - 8*r - 1369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - (-1 - -6)) + (23 - 24 - -10). Let b(c) be the second derivative of 1\/2*c**w + 5*c + 1\/2*c**4 + 0 + 0*c**2. Determine b(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3 = 3*v, b + v = 6*b - 29. Let x(g) be the first derivative of -g**2\/2 + 1. Let a(n) = -2*n**2 + 8*n. Give b*x(h) + a(h).\nAnswer: -2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 0.5, -3\/11, 5, -2304?\nAnswer: -2304","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is 602191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-28)\/(-13) - 18\/117. Let d(o) = f - 1 + 2*o**2 - 1. Let k(l) = 2*l**2. Give k(d(n)).\nAnswer: 8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 times -622061?\nAnswer: 13063281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -130065*-0.1386\nAnswer: 18027.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 1)*(-6)\/(-4). Does 5 divide ((-10)\/o)\/((-4)\/(-18))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 355.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47 and 842998157.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -271 - -267. Let p(x) = x**3 + 4*x**2 - 4*x + 7. What is p(s)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 14) in base 9?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 1. Let h(g) = 2*g. Let b(y) = h(y) - 5*z(y). Let o(c) = c**2 + 2. Let f be o(2). List the prime factors of b(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166\/13843 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(sqrt(6)\/sqrt(2)*-4)*-4)**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58 and 25694?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 288 + -281. Solve -4*k + 0 + x = -5*t, -2*k + 3*t = -3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -3 + 5 + -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 0 - 15. Suppose -20*s + 54 = -17*s. Calculate the remainder when s is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-5))\/f*f*f*f\/(f\/(f*f*f\/f**22*f)))\/(((f*f**23)\/f)\/f)**(-5\/14) assuming f is positive.\nAnswer: f**(-92\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3da + 551?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63 - -54. Let v(c) = -c**2 - 7*c + 36. Let x be v(r). Calculate the highest common factor of 162 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((2*sqrt(130)\/sqrt(250))**2 + sqrt(468)*-1 + 2).\nAnswer: -306\/25 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2466*s. Let x(o) = -7*o - 3. What is i(x(g))?\nAnswer: -17262*g - 7398","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -958 greater than or equal to 332922?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1577 or 1578?\nAnswer: 1577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2848, -5693, -8534, -11377, -14228, -17093, -19978?\n\"Answer: -i**3 + 8*i**2 - 2862*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 836*a - 94832. Give b(111).\nAnswer: -2036","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13\/57 + (-1)\/3. Let l = -2.9565 + 9.9565. Put -0.1, v, l, 4 in ascending order.\nAnswer: v, -0.1, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.83 + -0.17. Which is the biggest value? (a) s (b) 3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 (base 16) in base 15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 5:48 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 2 - 1)*(-5 + 5 + 2)*(3 - 2 - 3)*(2*b + 4*b - 4*b) in the form d + u*b and give u.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 + 2 - (-3)\/(6\/10). Suppose -n*t = 54 - 62. Let m = 2.5 - 2. Put t, 3, m in descending order.\nAnswer: t, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -979 + 981. What is z in -2\/5 - 7\/5*z - 3\/5*z**p = 0?\nAnswer: -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, e: 8}. What is prob of picking 1 c and 3 e?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(114)*4*6)\/(-3*sqrt(48)\/sqrt(8)*-2).\nAnswer: -24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -212*m**4 + m**3 + 313*m**4 + 0*m**3 - 2*m**2 + 0*m**2 to the form l + i*m**4 + k*m**3 + y*m + f*m**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(23\/2)\/(s*s*s**(2\/5)))\/(s**(-2\/37))**(-3\/8) assuming s is positive.\nAnswer: s**(6719\/740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 228622*a**4 + 298505*a wrt a?\nAnswer: 2743464*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 10:25 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 999 greater than or equal to 997?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21450 divided by 13.\nAnswer: -1650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**5\/(w\/(w**12\/w)))**(2\/73)*((w\/(w**4\/w))\/((w\/(w*w**(-2\/17)\/w))\/w))\/((w**(-3\/2)\/w)\/w**4) assuming w is positive.\nAnswer: w**(11897\/2482)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 26, 1\/16, -42, 0.2 in increasing order.\nAnswer: -42, -1\/4, 1\/16, 0.2, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40907605?\nAnswer: 5, 8181521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 5*q**2 - q - 1. Let h be x(-1). Let z = 9 - h. Suppose -8*d = -z*d - 80. Solve 0 = -0*y + 4*y - d for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 67 and 170048077?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 13*d**2 - 14*d + 34. What is the remainder when w(-13) is divided by 23?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -101*r + 210. Let n be d(2). Let j = -54\/17 - -520\/153. Let v = -0.28 - -0.48. Which is the closest to v? (a) n (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*sqrt(156)*-2*-4)\/(sqrt(1728)*-2*4*-5)*-3.\nAnswer: 3*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 63\/7*4\/90. Let r(l) be the first derivative of 11 - 4\/5*l**3 + 0*l**4 + 0*l + 16\/25*l**5 + k*l**2. Determine a so that r(a) = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 343*p**3\/6 - 3*p. Let h(k) be the third derivative of -k**4\/12 + 9911*k**2. What is c(h(l))?\nAnswer: -686*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-85)\/17*((-24)\/(-50))\/2\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 149 (base 12) to base 10\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eb when two letters picked without replacement from {e: 1, p: 1, b: 1, j: 1, m: 3}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 667 - 593. Calculate the remainder when b is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-651)\/651)\/((-1)\/(-7))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p - 9. Let y(s) = s**2 - 33*s + 247. Let b be y(21). Let u(a) = 4*a + 10. Calculate b*u(i) - 6*g(i).\nAnswer: -2*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*d*u**3 - 817*d*u**2 + d*u + 55363*d + 2*u**3 - 3*u**2 - 2*u wrt u?\nAnswer: 60*d*u - 1634*d + 12*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 19*t**2 - 23*t - 46. Let g be i(-21). Let b = g - -448. Put b, -2, -0.1, 0.2 in ascending order.\nAnswer: -2, -0.1, 0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-10) - (99\/(-44) - (-1119573)\/(-140)). Calculate the highest common divisor of 19 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2 - 3\/2*b**2 - 1\/4*b**3 = 0. What is b?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 468.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3719 is divided by 247.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3915*m = -3914*m - 48. What is the smallest common multiple of 144 and m?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2212 * 0.1\nAnswer: 221.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**6*y*y\/(y\/(y*y**(-1)*y)*y))**(6\/5) assuming y is positive.\nAnswer: y**(42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -103\/179266 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 1\/3, 6781, 2\/9, -6\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 11) in base 2?\nAnswer: -101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 270193 and 57913.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -8387629.16+3\nAnswer: -8387626.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 12*m**2. Let x(v) = 43*v**2 - 54*v**2 + 12*v**2. Determine x(p(f)).\nAnswer: 144*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63565, 127133, 190705, 254281, 317861, 381445, 445033?\nAnswer: 508625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21219326*r**3 - r**2 - 5*r + 1006652 wrt r.\nAnswer: 127315956*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from mzmdmdzzzdzdzzzz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r - 34*r**3 + 14*r**3 + 21*r**3 - 1 - 7*r**2 + (4*r - r - 2*r)*(-3*r + 3*r + 2*r**2).\nAnswer: 3*r**3 - 7*r**2 - r - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14348 divided by 3587.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20901454?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 57\/5 of a kilogram?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -3*d + 73, 5*d + 4*p = -0*p + 97. Calculate the remainder when 39 is divided by d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 - 90\/12)\/(10\/(-8)). Solve 2*c - i*r - 2 = 0, 2*r = -2*r - 16 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (47\/(-1) + (-4 - 0))\/(-1). Suppose f = -5*j - 391, -y + 286 = -3*j - f. Let p = j - -80. Solve 5*t + 2*n = n - 2, 4*t + 2*n = p for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -73771, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 160894307 to the nearest integer?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 37\/2 of a hour?\nAnswer: 66600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + -4 + (3 + -1 + (5*sqrt(175) + sqrt(175))*-6)**2.\nAnswer: -720*sqrt(7) + 226802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000001011111100000101 - 101?\nAnswer: -10000001011111100001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 13*h - 18. Let o(g) = -g + 10. Let p be o(-6). What is the remainder when 119 is divided by t(p)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-3 + 0 + 0). What is the third smallest value in -5, -5\/3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33423232 (base 5) in base 13?\nAnswer: -a4624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -5 - 20 - -13?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.5 + -2.7. Let r = -0.218 - 0.082. What is the second biggest value in y, r, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -1 (b) -31 (c) 3 (d) 3161 (e) -4\/9 (f) 11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -224971*b**3 + 2*b**2 - 387809*b.\nAnswer: -1349826*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 5*l + 2. Suppose 9 = 2*k - 1. Let m be i(k). What is the third derivative of -4*j**3 - m*j**3 + 3*j**3 + 3*j**2 + j**3 wrt j?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/20 of a milligram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1237 + 718. Let j = 43075\/83 + i. Which is greater: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 35 + -1 + -15?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - 554934?\nAnswer: -554933.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 217, 239, 285, 361, 473, 627?\nAnswer: 829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26455 by -2405.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*u - 30*u - 43*u**2.\nAnswer: -43*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 - -1) + 1 + 624 + 104. Find the second derivative of 5 + 2*i**3 + 737*i**2 + i - 1413*i**2 + a*i**2 wrt i.\nAnswer: 12*i + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from vvvzzzzvzzvzzzzzzzz.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of m**2\/2 - 13. Let i(p) = 2*p**3 - 2*p**2 - 24*p - 7. Let k be i(10). Let w(l) = 1553 - 2*l**2 - k. Calculate u(w(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31649 = -2534*j - 88311 - 75158 for j.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 l when two letters picked without replacement from {x: 2, l: 1, f: 7, a: 2, q: 4}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of 3*o**6\/10 - 4*o**3\/3 - 7*o. What is the second derivative of l(w) wrt w?\nAnswer: 108*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1601 is divided by 142.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (299 - 299 + 59*v)*(89*v**4 - 33*v**4 - 25*v**4).\nAnswer: 1829*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 21, 12, 1, -12, -27, -44, -63?\n\"Answer: -z**2 - 6*z + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-30))**(-12))**(6\/29) assuming q is positive.\nAnswer: q**(2160\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 16.1. Let x = 0.276 + 0.624. Let c = x - h. Sort 0.2, 9, c in ascending order.\nAnswer: c, 0.2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-72))\/(772\/(-46320))?\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -22*u**2 + 1322*u - 2193. Determine f(56).\nAnswer: 2847","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -6*k - 72 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147*v + 4 - 241*v + 147*v - 4.\nAnswer: -241*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 11*l**2 + 16*l + 7. Let m(t) = t. Let o(j) = 3*m(j) - q(j). Is o(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 2*c**2 - 2*c + 1. Let k be o(3). Let s be 25 - (-4)\/(4\/(-3)). Let i = s + k. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2\/5 + 42*m\/5 + 72\/5.\nAnswer: 3*(m + 2)*(m + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 256*q + 46. Is 25 a factor of j(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -711\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72470418.\nAnswer: 2, 3, 12078403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 + 81*l - 1890.\nAnswer: 3*(l - 15)*(l + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 529, 518, 507, 496, 485, 474?\nAnswer: 463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -13068*s - 444326. Determine n(-34).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16781221?\nAnswer: 509, 32969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 26*r = -22*r - 9*r - 161, 43*a + r - 139 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven halves of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 141408 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - j + 5. Let p(o) = -2. Let g(q) = 0 + 0*q - 1 + 3*q - q. Let u be g(1). Let x(z) = -52. Let m(t) = u*x(t) - 24*p(t). Give 3*m(k) + 2*n(k).\nAnswer: 2*k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -242.69887 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 4 = -0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 0*u + 6*u**2 - u**3 - 4 + 3*u**3 - 2*u. Let m be w(-6). Suppose -m = -z - z. Calculate the remainder when 7 is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27266 + 2?\nAnswer: 27270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 5)\/(17 + (-138)\/8). What is the greatest common divisor of h and 15464?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of j**8\/13440 - j**6\/2880 + 20*j**3\/3 + 19. Let x(n) be the third derivative of i(n). Factor x(v).\nAnswer: v**2*(v - 1)*(v + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*b**6 + b**5 - 870*b**4 + 5*b**2 + 15639*b - 2?\nAnswer: -600*b**3 + 60*b**2 - 20880*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -457, -1053, -2681, -5857, -11097?\n\"Answer: -86*s**3 + 6*s - 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8201129 - 18765529. What is n rounded to the nearest one hundred thousand?\nAnswer: -10600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -231.5 - 1650.\nAnswer: -1881.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1037\/2053 (b) 1\/4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 2\/226055?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*t = 62 - 890. Sort 5, t, 51.\nAnswer: t, 5, 51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154548 a multiple of 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 569308.5 micrograms?\nAnswer: 0.0005693085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15917247 less than or equal to 15917246?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12545 and 1158.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -5*x. Suppose 0*u = 4*u - 4*o - 32, x = 3*u - o - 20. Put 1, -4, u in increasing order.\nAnswer: -4, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*j + 10 = -9*i, -19 = -3*i + 2*j. Solve -2*n = -6, -4*t - i = -0*n + 3*n for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -18*a**2 + 16*a. Let b(s) = -s**3 - 24*s**2 + 110*s - 61. Let z be b(-28). Let p(q) = 6*q**2 - 5*q. Determine z*d(r) - 16*p(r).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {m: 1, t: 6, p: 4, o: 4}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, 0.3, -56?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23\/2 - 12. Let l = 53.4 + -53. Let z = -41\/2 + 20. Which is the nearest to z? (a) 0 (b) p (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113452 (base 6) in base 5?\nAnswer: -304041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.3, -93, -6, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**2 - 32*l**6 + 3*l**2 + 38*l**6 wrt l?\nAnswer: 720*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 11. Let p = d + -2. What is the highest common factor of 2 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 9*d + 13. Let r be h(-8). What is the common denominator of r*((-10)\/2)\/(-25) and 6\/(-27) + 347\/(-18)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(11) + 0)**2 - (-5 + sqrt(176)).\nAnswer: -17 - 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/24 - (6 - 190\/40). Let k = 278 + -2227\/8. Put 2\/75, 2, k, i in decreasing order.\nAnswer: 2, 2\/75, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7411.475 tonnes in micrograms?\nAnswer: 7411475000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, 132, 9863, 2\/11?\nAnswer: 9863","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-2))\/(1\/4). Let m(z) = z**2 + 7*z + 8. Let k be m(w). Suppose 0 = 2*b + s - 2, -3*b + 7 = s + 2. Solve 0 = b*j - k*j + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55.031 + -0.031. Let f = -53 + j. What is the closest to f in 3, 4, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -31, 5, 3, -4 in decreasing order.\nAnswer: 8, 5, 3, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20255051 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -499 and 1?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 + 83 = g. Suppose -4*p + d = p - g, -6 = -3*d. Suppose 0 = -10*f + 5*f + 5*o + 20, -5*f - 4*o = 16. Solve -p*s + f*s + 10 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*(20\/(-60) - (-10)\/3). Let h(m) = 2*m**2 - 5*m - 2. Let v be h(4). Suppose q*d = v*d + 4015. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -f - 7*f**4 + 6*f**3 + 5*f**4 + 4*f**2 - f**2 - 4 as z*f**2 + a*f**3 + q*f**4 + h*f + d and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1349 and 16150.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 42*y - 83. Let h be x(-2). Let o be 11\/(-1) + (5 - 5). Put h, o, 5 in decreasing order.\nAnswer: 5, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 e, and 1 v when three letters picked without replacement from {n: 1, v: 3, e: 2, k: 1}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -282, -507, -722, -927, -1122, -1307?\nAnswer: -1482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 187992933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -o + 48. List the prime factors of (-6)\/o + ((-3092)\/(-20) - 4).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 246 and 12990522.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 10*i + 12. Let s be u(7). Calculate the highest common factor of 66 and s.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 24*h - 7*h - 54 - 58 + 112. Let x(j) = -j**2. Give a(x(l)).\nAnswer: -17*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 466455 by -3855.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 3*r - r**2 - 2*r - r - 9 + 7*r**2 + 0*r. Calculate f(-6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (777\/(-28))\/((45\/20)\/((-1)\/(14\/(-84))))\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2304581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 1. Let o(w) = w + 12. Let m(y) = o(y) - 5*x(y). Let f(v) = 1. Determine -21*f(j) + 3*m(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 6:32 PM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, p: 2, o: 1, y: 2, u: 1}. What is prob of sequence yyp?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 45921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 y when two letters picked without replacement from {y: 5, i: 3}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g**2 - 3*g - 17. Let w(t) = -4*t**2 + 15. What is 2*w(v) + 3*y(v)?\nAnswer: v**2 - 9*v - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8909 is divided by 1106?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 8*q**2 - 12*q + 4. Let t(c) = c**2 - 167*c + 321. Let u be t(2). Calculate b(u).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 4*p - 1780, -66 - 823 = -2*w - p. What is w rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359 is divided by 92.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -b + 66, -9724 = 2*b + 4*q - 9646 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -168a - -bcc1?\nAnswer: a636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2502771717?\nAnswer: 3, 29, 4583, 6277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 - 4*k**2 + 7*k**2)*(4*k**3 - 4*k**3 - k**3) + (417 - 417 - 24*k**5)*(-4 + 3 + 4).\nAnswer: -78*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, 0, -1\/4, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 8:59 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -3*a - 5. Suppose -t - a = -4*t. Sort 1, -2, -4, t.\nAnswer: -4, -2, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jltlajj. Give prob of picking 3 j and 1 l.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -20, -t + 3*t - 588 = -q. Suppose 2*z + 3*z - 4*m = t, -4*m = 5*z - 264. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - v - 2. Let y(t) = 2*t**3 - 2*t**2 + 6*t + 6. Let r(h) = 3*m(h) + y(h). Let s = 1 - 4. Let i be r(s). Solve -g + i = -2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 295, 479, 785, 1213, 1763?\nAnswer: 2435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - k + 3*k - 8 = 0, k + 2 = 4*r. Let d(g) = g + 5. Let n(p) = -p - 1. Calculate r*d(v) + 2*n(v).\nAnswer: -v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - -95)\/(-5)*(-10)\/(-3). Let q be 2*(-3)\/v*-4. What is the second smallest value in -1\/2, 1\/18, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5}. What is prob of sequence yyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 930 = -51*b + 3*d, 5*b = -d - 16 + 11 - 81 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1420 divide 22099460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.82949*-0.5.\nAnswer: -0.414745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1742560 and -16146282?\nAnswer: 14403722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*h - 105 + 89 = 0, -2*h = -8. Factor -8\/5*d**3 + 6*d + 24\/5*d**q + 8\/5.\nAnswer: -2*(d - 4)*(2*d + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 + 30. What is the greatest common divisor of b and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wbzwjbjwbnszwbwb. What is prob of sequence bwnw?\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 12 = -0. Let r be (1\/o)\/((-10)\/16). Which is smaller: -1\/2 or r?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(2156)\/sqrt(4))**2.\nAnswer: 8624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, l: 1, x: 8}. What is prob of picking 2 m?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/25)\/((-42)\/15)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*q - 2*g = 87*q - 56, 2*q - 8*q - 2*q + g = 50 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tttzz.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 4*h**2 + 3*h + 3. Let w be a(-3). Suppose -2*i + w*i - 16 = 0. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(-8\/13)*v\/v**(-41) assuming v is positive.\nAnswer: v**(567\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -13525.485 to the nearest one hundred.\nAnswer: -13500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 12 = -4*y + 2*v, 0 = v - 2. Let p be -3 + y*3\/6. List the prime factors of 38\/4 + 2\/p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 22*k**3\/3 - 28759012*k**2\/3 + 9398642513000*k\/3 + 1708845043984\/3 = 0.\nAnswer: -2\/11, 653614","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of 2*t**6\/15 - t**3 + 5*t. Find the second derivative of s(p) wrt p.\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 786540 divided by 157308.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/24*-2 + 51\/(-2). Let k be (8\/4)\/(6\/s). Calculate the remainder when -2*2\/12 - 660\/k is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z. Let a = -7 + 6. Let o be s(a). Suppose p - 1 = o. Calculate the smallest common multiple of 2 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 9*q = -4*d + 62, -4*d = 5*q + 78. Let h be (q\/6 + 2)*1. Suppose 16 = 4*m, -w - 2*m = -5 - 4. Which is smaller: w or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-8 - -6)*(-21)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s - 4. Let b be n(-7). Suppose -607 = -2*o + 201. What is the remainder when o\/b - (-8)\/(-20) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**39*q*q**(-1\/40))**23 assuming q is positive.\nAnswer: q**(36777\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 93 + -92.9. What is the third biggest value in -0.038, 5, 0.4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -308 - -308.4. Put 0, s, 8 in ascending order.\nAnswer: 0, s, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hvdhzmxz. Give prob of picking 2 h, 1 z, and 1 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 695785.\nAnswer: 5, 37, 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000148368 rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 6*n**2 + 25*n - 17. Give f(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rjejjjjeekejqjjr. What is prob of picking 1 k and 3 j?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 986.227 grams?\nAnswer: 0.986227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 198 and 418?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4284095399+-0.824\nAnswer: 4284095398.176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -54*c + 29. What is m(4)?\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -13. Let f = -1.9 + -0.1. Let u = 1.8 + f. Which is the biggest value? (a) u (b) 4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 8*j - 30. Let i be w(9). Let a = -15 - i. Suppose d - a*d + 1151 = m, 5*m = 3*d - 713. List the prime factors of d.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dduddduuuudddddd. Give prob of picking 1 u and 3 d.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 7 = y, 4*f = -y + 54 - 17. Let z = -7 + f. Solve 3*o = 3*l - 0*l, -z*o - 16 = l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*x**2 - 14*x**2 - 7*x**2 to the form f*x**2 + g + d*x and give f.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1339?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 55880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 312336 greater than 312334?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -4 + -5 + (9 - -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (126\/70)\/(6\/130). Solve -y*z + 42*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72023, -72021, -72019?\nAnswer: -72017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 918 - 1842 - 25*l**2 - 11*l**2 + 924.\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14269, 14303, 14397, 14581, 14885, 15339, 15973?\n\"Answer: 5*o**3 - o + 14265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 788866?\nAnswer: 2, 13, 30341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14109476 is divided by 72.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9965858?\nAnswer: 2, 7, 711847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16382*u - 2 + 2.\nAnswer: 16382*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*v + 57 + 9 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 4*u**4 - 4*u**4 + 4*u**4 - 2*u**4 + (2*u**2 - u**2 - 3*u**2)*(3*u**2 - u**2 + 0*u**2) + 4*u**4 - u**2 + u**2 + 2*u**2 + u**2 + 2*u**4 + 3*u**2.\nAnswer: 4*u**4 + 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 136 - 131. Let u(o) be the second derivative of 0*o**2 - 3\/10*o**5 - 2\/3*o**3 + a*o + 0 + 0*o**4. Find the second derivative of u(l) wrt l.\nAnswer: -36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 17*h + 73. Let n be o(-9). Let q = -15 + 5. List the prime factors of 10580\/100 - (1 + n)\/q.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-1)*(-76 + 1). Let l = -52 + q. Calculate the remainder when l is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 5 = 2*f, -5*a + 0 + 5 = 5*f. Put -3, 5, a, -5 in decreasing order.\nAnswer: 5, a, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-1))\/1 - (-24)\/4. Let u = 2 - -3. Suppose 0 = 5*i + q - 176, 6*i - z*i - u*q = 30. Calculate the remainder when i is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 39041.02ug?\nAnswer: 39041020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-2)\/(-4))\/((-1)\/(-66)) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(12) + sqrt(36)\/sqrt(108))\/(-2*sqrt(4)*5 + sqrt(4)) + -2)*-6.\nAnswer: 7*sqrt(3)\/9 + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1700 = 181*s - 164*s. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1830\/(-4880) - ((-1795)\/520 - -3)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.16 in 1\/5, 3, 4\/1667, 4, 0?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -1142.7*28339.\nAnswer: -32382975.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-2*sqrt(475))**2 - (sqrt(475) - (sqrt(475)*-1 + sqrt(475))*1)**2 - (sqrt(475) + sqrt(475)*-2 + -2 - (3 + sqrt(475)*2)**2))*5.\nAnswer: 325*sqrt(19) + 16705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47275 and 206305.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 3:26 PM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + k = -11, -i + 5*k + 20 = 2*i. Let f(m) = -28*m - 416. Let r be f(-15). Find the second derivative of -281*d**4 + 23*d**i + 8*d + 281*d**r wrt d.\nAnswer: 460*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t + 0*t + 2*t**3 + 4*t**2 - t**2 - 3. Let p(k) = -5*k**3 - 8*k**2 - 5*k + 8. Suppose -88*n = -52*n + 288. Calculate n*x(b) - 3*p(b).\nAnswer: -b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**2. Let z be r(1). Calculate the greatest common factor of z and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 3:31 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1083 and 133.\nAnswer: 7581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 527374?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by (1*(-86)\/(-4))\/(3\/6).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 4 - (-15 + 12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uouwwwwwwowww. What is prob of sequence woww?\nAnswer: 42\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 2*o - 8. Let s(w) = 1. Let k(t) be the first derivative of t**3\/3 - t**2\/2 + 3*t + 105. Determine o*k(j) + 5*s(j).\nAnswer: -2*j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 4*m + m)*(-11 - 17 - 60)*(2 - 2 + m).\nAnswer: -176*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 47\/4 of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(((0 + sqrt(1053))*1 - sqrt(1053)) + sqrt(1053) + 2))**2.\nAnswer: 144*sqrt(13) + 4228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5870 + -5867. Let d = -11\/4 - -13\/4. What is the nearest to 0 in d, -5, i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**2 - 25467668772 - 321*c**3 + 25467668772 - 3*c**2.\nAnswer: -321*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79, -8, -3, 2, 5, -2, 24.\nAnswer: -79, -8, -3, -2, 2, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - 11*o**2 + 0*o**2)*(-4*o + 4*o + 3*o).\nAnswer: -30*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119380, 119714, 120062, 120430, 120824?\nAnswer: 121250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 72\/80)*-232. Let y = -22 + k. Solve -4\/5*a + 2*a**5 - 14\/5*a**4 + 0 - y*a**3 + 14\/5*a**2 = 0 for a.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100025 (base 9) in base 7?\nAnswer: -334136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -11. Which is the nearest to 1? (a) -0.5 (b) 2\/7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67196 and 292.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5666 and -3.\nAnswer: 5663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -9157*x**2 - 9317*x**2 + 18167*x**2. Let v(z) = 5*z**2. Determine h(v(t)).\nAnswer: -7675*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(468) - sqrt(468)*-1*-5) + sqrt(156)\/(sqrt(192)*-2 + sqrt(192) - sqrt(192)))*-1 + -3)**2.\nAnswer: 484237\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 + -33. Suppose 3*y - 4*y = -6. Calculate the smallest common multiple of g and y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27698, 27707, 27722, 27743?\nAnswer: 27770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 5. Solve 8 = k*z - 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i + 9. Let p be v(-2). Which is the biggest value? (a) p (b) -4\/9 (c) -0.2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 5*g**2 + 3*g + 1. Let w be a(-3). Suppose 0 = 2*k - 2*b - 226, -4*k + 3*k + 119 = -3*b. What is the greatest common factor of k and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 7*s - 5. Let f = -51 + 67. What is the remainder when f is divided by d(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 14 = -4. Do l and 2 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 1:20 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -13331, -13335, -13349, -13379, -13431?\n\"Answer: -a**3 + a**2 - 13331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c - 2943 + 295. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -0*j - 3*j + 98, -3*d = 4*j - 116. Let n = 9 - j. Let l = n + 33. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 4*b - 3*b + 4 + b**2 - 1 - 4. Let y(n) = -2*n**2 - 5*n + 4. Let t(f) = f**3 + 9*f**2 + 13*f - 8. Let d be t(-7). Give d*y(q) - 4*o(q).\nAnswer: -2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17328 divided by -19.\nAnswer: 912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(3\/10)\/b)\/b)\/b**8)\/(b\/(b\/b**(-2\/7)))**(-1\/20) assuming b is positive.\nAnswer: b**(-68\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -4*a + 5*g, 2*a - 2*g = 3*a - 11. Suppose a*x - 9 = 46. Suppose 0 = -x*v + 10*v + 11250000. Round v to the nearest 100000.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-14))\/1*(-679)\/194.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4379 and -0.4.\nAnswer: 1751.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h + 65977 - 65905 = 0 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/6*12\/10. Solve -s*t + 2*q - q - 12 = 0, -3*t = -2*q + 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, h: 3, q: 3, c: 4}. Give prob of picking 2 c and 1 q.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4224 divided by -24\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (102600\/(-798) + 129)*(-16)\/(-10)*(-35)\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/(22\/7 - 3). Let u be (-5222)\/y*(2 + -9). Let p = -73 + u. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 5*y**2 + 1. Let c = 109 + -18. Suppose -2*g + c = -s, -6*s - 12 = -2*s. Let l = -49 + g. What is u(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*m\/(m**(-1\/12)*m)))\/m)\/(((m**(-2\/73)*m*m)\/m)\/m)*(m**(1\/9)*m)\/(m*m**(-1\/6)*m))**(-24) assuming m is positive.\nAnswer: m**(9346\/219)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1.9 times 6.5\nAnswer: 12.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(1248\/18)*(-8)\/6.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 183*y - 823. What is z(178)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 180\/192*-4*2\/(-5)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 3*n = 7, -n + 5 = -33*p + 35*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/1181686 and -169\/714?\nAnswer: 421861902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 11*s**2 - 16*s + 32. Let c be (-1 - (2 + -1))*(18 - 23). Let m be a(c). Is m equal to -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/8))**(2\/33)\/(s**(-3\/2))**(-1\/2))**(-2\/59) assuming s is positive.\nAnswer: s**(50\/1947)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/5622540 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3771, 16657, 38135, 68205, 106867?\n\"Answer: 4296*f**2 - 2*f - 523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 0. Let f = 0.0442 - 0.1442. Which is the third biggest value? (a) 46 (b) f (c) z (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + 25. Factor 10*h - 2*h**4 - 7*h**u + 2*h - 4*h**4 - 2*h**3 + 12*h**2 + 3*h**5.\nAnswer: 3*h*(h - 2)**2*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -438*l**2 - 3052*l + 30. Give c(-7).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12530 = -1239*a + 344*a for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -2*d, -5*d - 4*q + 22 + 23 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 + 7*h**2 - 21*h**2 + 7*h**2 + 243 + 78*h + 4*h**2.\nAnswer: -(h - 81)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -928.5 + 929. Which is the closest to -0.09? (a) -3 (b) p (c) 2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + -16191)*(-12 - 835\/(-70)). Is 1157 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 345 and 31395115?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -p**4\/6 - 2*p**3\/3 - 3*p**2\/2 - 2*p. Let t be a(-2). Let o = t + 9. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 6*f**2 + f - 3. Let v be p(6). Let l = 1487\/4008 - -2\/501. Which is the nearest to 0.2? (a) l (b) -5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 905651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s*s**(-1)*s*s)\/s)\/s)**(1\/43))**(-18\/11)*(((s\/(s*s**(2\/21)))\/s)\/s*s**(-6\/5)\/s)**(-4) assuming s is positive.\nAnswer: s**(851402\/49665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221938.\nAnswer: 2, 110969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**1)\/j)**(5\/8)\/(j**4\/(j*j**6)) assuming j is positive.\nAnswer: j**(19\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 + 0. Let k be ((-100)\/80)\/((-715)\/(-104)). What is the closest to -2\/5 in 5, n, 2\/25, k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.02 + -3.98. Let b = f + 3. What is the closest to 0 in b, -2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5423349 litres in millilitres?\nAnswer: 542.3349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*n**2 + 24*n**2 - 8*n**2 - 13*n**2.\nAnswer: 29*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c**1*c*c))\/c*c)\/c)**(18\/13)*(c**(-2\/5)\/c)**(-50)*((c\/c**(-5\/3))\/c)\/c**(-3)*(c*c\/(c*c\/(c**4\/c)))\/c**(-1\/11) assuming c is positive.\nAnswer: c**(31576\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8266.69 + 8321.5111. Let k = m - -0.0789. What is k rounded to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*(n\/(((n\/(n*n\/n**(-2\/7)))\/n)\/n)*n)\/n)**(-16)\/((n*n**(4\/7))\/n**(-3\/4)) assuming n is positive.\nAnswer: n**(-2881\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-1 + 3 + -3). Let a be t + -4 + 12 + 1. Suppose 0 = -14*i + a*i + 152. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 4*h**2 - h - 1. Give c(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 + -0.1. Suppose -24 = 2*c - 3*c. Let m = c + -121\/5. Sort 2\/11, m, b in descending order.\nAnswer: 2\/11, b, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**2 - 5*j**2 + 2*j - j**2 + (4 + 0 - 1)*(3*j**2 + 4*j - 4*j) - 1344*j + 1344*j - 16*j**2.\nAnswer: -9*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54941484 and 260?\nAnswer: 274707420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/69? (a) -1 (b) -9.9 (c) -1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1125?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 254650793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8015*w - 210 = -8000*w for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 474254 - 212373. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57679114 divided by 3?\nAnswer: -57679114\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 31\/5 of a hour?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(-40)*2\/(-12)*2\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 83608 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -49744.915 to the nearest ten.\nAnswer: -49740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3\/7, 556, -13?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/8, 2\/5, -1\/9, 4\/3, 23.1, 2, -3?\nAnswer: 23.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5120 and 848128?\nAnswer: 16962560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 68803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 65*d + 12. Let t = 6 + -1. Is v(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -417, -422, -429, -438, -449?\nAnswer: -462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-7)\/z)\/z)\/(z*z*z*z**(-2)\/z*z)*((z\/z**(-1\/3))\/z)**(-17\/3) assuming z is positive.\nAnswer: z**(-107\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhfhooz. Give prob of sequence of.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**2 + n**3 - 3*n**2 + n**4 + 2*n**2 - 4*n**2 to i*n**2 + s + l*n**4 + y*n + a*n**3 and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 654*f + 298. Determine r(0).\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 132220 - 132164.927204. Let d = -0.083796 + o. Let f = 1.311 + d. Round f to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 9, q: 3}. What is prob of picking 3 s and 1 q?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 7 = 2*i. Suppose 3*h = i*k + 22, 4*k + 5 = -0*h + h. Is 3 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 7872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 575217*a**2 - 287296*a**2 - 288070*a**2 - 1.\nAnswer: -149*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a - 2*a + 2 + 3*a. What is n(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51808 is divided by 165?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**4 - 4*o**4 - 5*o**4 + (-4 - 1 + 3)*(o**4 + o**4 + 0*o**4) in the form a*o**2 + x*o**4 + r + s*o**3 + w*o and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (0 + sqrt(684))*3 + -2 + -5)**2.\nAnswer: -72*sqrt(19) + 6160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00553862168 to 6 dps.\nAnswer: -0.005539","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5969955*i - 194279638.\nAnswer: 5969955","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -8\/3*n**3 - 1\/3*n**4 + 1\/60*n**6 + 8*n**2 + 0*n + 1\/3*n**5 + 1\/168*n**8 + 0 - 4\/105*n**7. Factor v(r).\nAnswer: 2*(r - 2)**3*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -4, 7, 0, -5.\nAnswer: -5, -4, 0, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 4, -3 in decreasing order.\nAnswer: 28, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 36*k - 30 - 18*k + 214*k - 19 - 103 wrt k.\nAnswer: 232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/3 - (-51)\/(-9). Let o be -2 - t*1\/1. Suppose -2*s - 4*u + 67 = o*s, 3*u = -5*s + 69. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113014 (base 5) to base 8.\nAnswer: 10046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26\/19, -29\/2, -2\/9, -10 in descending order.\nAnswer: -2\/9, -26\/19, -10, -29\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 143907227201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31200 - 10?\nAnswer: -31210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18*u**4 + 26*u**3 - 26*u**3)*(1761 - 3985 + 1617 + (-2 + 0 + 1)*(5 + 3 - 5)) in the form r*u**4 + l*u**2 + w*u**3 + i + p*u and give r.\nAnswer: 10980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.5 - -7. Which is the biggest value? (a) -5 (b) d (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t + 2*t + 2*t + (-3*t + t + 4*t)*(0 - 2 + 4) - 4*t + 6*t - 3*t - 2 + 2*t + 2.\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s**3 - 215*s**2 + 215*s**2)*(4*s - 5*s + 0*s) + 0*s**4 - 4*s**4 - 4*s**4 + (-2*s**3 + 2*s**3 + s**3)*(4*s - s - s) - s**4 - 2*s**3 + 2*s**3.\nAnswer: -2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 - 152*f**2\/7 + 228*f\/7 - 72\/7.\nAnswer: 4*(f - 3)*(f - 2)*(7*f - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 60*((-5)\/(-20) + (-1)\/(-2)). Suppose o + 45 = 6*y. Let d = 90 - 33. Calculate the remainder when d is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -24 (b) -3 (c) -76.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 6*k + 5. Let i be b(5). Suppose -65 = -5*d + 5*h, -3*d = -h - i - 37. Solve -2*p + 2*y = 10, 2*y + y = d for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*k - 5 = 0. Suppose 8*n - 3*n = 60. Let d = n - 12. Which is smaller: d or k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 1\/4, -11136, -1 in ascending order.\nAnswer: -11136, -1, -1\/7, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1942519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 26 = 3*x, -3*x + 4*n = -48 + 14. Let d be 160\/(-28) - 2\/7. Calculate the remainder when 2\/4 + (-129)\/d is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 357\/72 + -8 + 7. Let z = -59\/24 + u. What is g in -3\/2 + 3\/2*g - 3\/2*g**3 + z*g**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156082 to the power of 1\/2, to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 58713708*f*p**2 + 2*f*p - 2*f + 61*p + 46860 wrt p?\nAnswer: 117427416*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 1925 = 3*a, -5*a + 0*a - 25 = 0. Suppose 6*i = 145 + r. List the prime factors of i.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -131, -140, -163, -206, -275, -376, -515?\n\"Answer: -p**3 - p**2 + p - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/3)*g*g**6*g)**(-24)*(((g*g*g**1)\/g)**(2\/3))**(10\/11) assuming g is positive.\nAnswer: g**(-6824\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -279 - -279. Suppose -34*n + 54*n - 200 = a. Let q(y) = y**2 - 11*y + 5. Calculate q(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*g + 90*g = 5*y - 31, 4*y - 29 = -3*g. Let o(t) = -9 - 232*t - 238*t + 460*t + 1 + 9*t**2 - g*t**2. What is o(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrhhrhrrhrrrrrr. What is prob of picking 3 r?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11860 + 11956. Is 77 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-962)\/(-8)*-1 + (-72)\/(-288). Let w be 7\/(-5) - 40488\/b. What is the highest common factor of 48 and w?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - (9\/(-3) + -3). Let l = -7 + j. Suppose 3*t = 11 + 4. Sort t, l, -4.\nAnswer: -4, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/7, -5\/2, -5, -1818?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.55 - -0.05. What is the biggest value in h, -2\/3, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**2\/10 - 6433*j\/5 - 25724\/5 = 0. What is j?\nAnswer: -12862, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16230 is divided by 149.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-3 - 11) - 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9576981091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*8293.\nAnswer: 41465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 94*y**2 + 7339*y - 1 - 7339*y - 3 to v*y + o*y**2 + t and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 21111001020221 (base 3) to base 11\nAnswer: 2276988","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 39 (base 14) to base 3\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 p when two letters picked without replacement from kvkvvkpmxx?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/11)\/m*m*m)**(-13))**(-8) assuming m is positive.\nAnswer: m**(1352\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26? (a) -0.2 (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 238957 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*r = -10, -2*r = 6*u - 2. Let y(f) = -6992*f + 14*f**u + 6992*f. Let o(m) = 15*m**2. Calculate y(o(x)).\nAnswer: 3150*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5*((sqrt(57)\/(sqrt(9)\/sqrt(3)) - 2*sqrt(171)) + -3 + ((sqrt(2299) - sqrt(2299)*2) + 2 - sqrt(2299)) + sqrt(2299)))**2.\nAnswer: 4000*sqrt(19) + 608125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23736328?\nAnswer: 2, 7, 11, 31, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 930 is divided by 46?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -98, 6, 1 in decreasing order.\nAnswer: 6, 1, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 24 + 1.89\nAnswer: 25.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -2*u - 8, 36*f - 31*f - 7*u - 28 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5368 and 6936.\nAnswer: 4654056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 + (0 - -1))*5. Suppose 2*k - q + 25 = 0. Suppose k*z + 5*a = 405, 2*z - 2*a = -a + 147. Is 19 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 815 + -815. Let t(i) = i**2 + i + 1. Let u be t(-2). Suppose -4*o = -45 - u. Solve k = x - 5*x + o for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/55332000 and -119\/3816000.\nAnswer: 110664000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, -2, 1\/17, 2 in descending order.\nAnswer: 2, 1\/17, -3\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -3*f**2 + 837231*f + 1674474 = 0.\nAnswer: -2, 279079","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 6*o**3 + 12*o**2 - 395*o - 1333. Determine p(-3).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3997.447 years in decades?\nAnswer: 399.7447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -425 - -708. Let j = c + -274.3. What is j rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(72) + (sqrt(72)*-1)**2 + sqrt(72)) - sqrt(72).\nAnswer: -432 - 78*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16770 - 5*t**3 + 16776 + 8*t**3 - 50324 + 16778.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (160\/12)\/(-5)*(-6993)\/518?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, v: 3, q: 2, i: 1, n: 1}. Give prob of picking 2 v, 1 d, and 1 i.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 29*j**2 + 907. Calculate g(-30).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -40 + 3 + 32 - 3\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1535909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6816 divided by 12.\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 98\/126*(-12)\/(-14)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(16)*-1 - sqrt(16)))\/(sqrt(8) - (sqrt(8) + 6*sqrt(128))).\nAnswer: 5*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 215 = -3*m - 75, 4*p = -m + 36. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = 7*p + 128. Let w = 139 - 66. Let f = p + w. Is f a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-5\/2))\/(d**(-12\/13)\/d)*(d**(2\/7)\/d)**(-4) assuming d is positive.\nAnswer: d**(1507\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/23, 3, 5, 0.11 in descending order.\nAnswer: 5, 3, 0.11, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 59183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o - 2. Suppose 8 = -4*w + 6*w. Let b = w - -10. Suppose -b = -4*a - v, 0*a - a = -3*v - 10. Calculate c(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -1945710*o. Let q(t) = -3*t + 19. Determine q(d(s)).\nAnswer: 5837130*s + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 2403999?\nAnswer: 2404003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 23*q**2 + 48*q - 47. Calculate b(-25).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(6) - 6*sqrt(18)\/sqrt(3))\/(sqrt(2) + 4*(sqrt(2) + sqrt(4)\/sqrt(2))).\nAnswer: -5 - 5*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(42)\/sqrt(6) + sqrt(7))**2 + -2)*6.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -3. Let t = -14.94 - -15. Let m = t + 0.24. What is the second smallest value in a, m, -2\/23?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.8 - 2. Let o = -977 + 662. Let l be 20\/o - (-2)\/7. Which is the third biggest value? (a) -5 (b) l (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 615 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 1, 18, 11 in ascending order.\nAnswer: -15, 1, 11, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, x: 2, j: 1, d: 1}. What is prob of picking 1 x and 1 y?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 - 2*r**2 + r**2)*(-2*r - r + 2*r)*(-r**2 - 3*r**2 + 5*r**2).\nAnswer: 2*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 5 - 3. Let o = t + 20. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11974 is divided by 179.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bj when two letters picked without replacement from fbpjf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 6*d**2 - 9*d - 53. Let a(j) = j**2 - j. Let p be (-90)\/27*6\/4. Let m(f) = p*a(f) + w(f). Is m(-22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3*v - w - 1972, 3290 = 5*v + 4*w. Suppose -494 = -2*g + v. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 + 15*x + 99. Let m(n) = 4*n**2 + 31*n + 196. Let a(b) = 9*j(b) - 4*m(b). Is a(-21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 120 = 4*s - 0, -3*b = -9. Let h be 2\/(1*3\/s). Suppose -p = p - h. Which is bigger: 1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 937?\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13323 + -11?\nAnswer: -20000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 773766 and 2466?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 345539880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j = 52*k + 7*j + 483, -5*k - 35 = -0*j + 2*j for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 28*o**2 - 643*o + 86. What is d(43)?\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 18 = -a. Suppose 5*j = a - 8. Is (54 - j) + 9\/3 + 1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 930 rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 3*y**2 - 3*y + 1. Let w be z(4). Suppose w*p - 4*j = 25, 2*p - 7*p = -5*j - 30. Are p and 7\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/22 (b) 5 (c) -3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 582023 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -31026190.83 rounded to the nearest one thousand?\nAnswer: -31026000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4\/3 - -2. Let z(p) = 2*p**2 + 34*p - 34. Let r be z(-18). Factor f*q**r + 8\/3*q + 8\/3.\nAnswer: 2*(q + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 874*f**3 + 2*f**2 - 10.\nAnswer: 2622*f**2 + 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*m - m. Suppose -4*x + 2*b - 6*b + 132 = 0, 127 = m*x - 4*b. What are the prime factors of x?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-16) + 15\/4. Let n(l) = 5 - l + 7*l**2 - 6*l**3 + b*l**3 + 2*l + l**3. Let v be n(7). Solve t - v = -3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -459 - -461. Suppose -s*i = -3*u + 342 + 2569, 4*u = i + 3888. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mzzzzzmmzzmmzzzmmmmm. What is prob of sequence zmzz?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 11*l**2\/2 + 2*l - 1. Is q(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wzc when three letters picked without replacement from wwzzc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 186\/3643?\nAnswer: 186\/3643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*5*6*sqrt(78)*-4)\/((-5*(sqrt(6) + sqrt(96)) - sqrt(6) - (sqrt(6) + -5*-2*sqrt(6)))*5).\nAnswer: 72*sqrt(13)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 4*u - 9*u - 5, 0 = -5*a - 4*u - 4. Suppose a = 14*p - 9*p - 12135. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -2020829?\nAnswer: -2020828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19257062 to the power of 1\/4, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.936 rounded to 1 decimal place?\nAnswer: 49.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 4*j + 24 = 64, 3*v + 5*j - 50 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 3, -12, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.9080595 nanometers?\nAnswer: 0.0000000009080595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/5 <= -156?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (-6)\/(-2) - (20 - 114). Let w = a - -18. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g**3 + g**2 + 2*g + 1. Suppose -54*r + 28 = -53*r. Let a = 27 - r. Determine n(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -41, -41, -29?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 280 - 277. Solve 3*u + 2*u - j*n + 19 = 0, 3*u - 2*n = -12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r - 33*r**3 + 5*r - 6*r.\nAnswer: -33*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 10*r - 13. Let w be y(9). Which is the biggest value? (a) -1\/4 (b) w (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 11) in base 3?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c. Let o(q) = -4*q - 8. Let n(v) = 2*o(v) + 24*p(v). What is the tens digit of n(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -1\/10 (b) 2 (c) 4 (d) -5 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-4))\/(40\/(-160))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*u**2 - 3*u**4 + 9*u**4 - 5*u**2 - u**4 wrt u.\nAnswer: 120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 830395.\nAnswer: 5, 19, 8741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*b + 5*n, 0 = 10*b + n - 6*n - 35. Sort 29, -2, b, 2, -1 in descending order.\nAnswer: 29, b, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6148158489?\nAnswer: 3, 11, 79, 786109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 5, a: 7}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -2093566 and -2093566 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = -5*i - 4*j + 13, -i = j + 15. Is (11 + -1)\/(i\/(-18)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 4*w - 4*k, k + 0*k - 51 = 3*w. Let x = -14 - w. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.66463 micrometers in kilometers?\nAnswer: 0.00000008166463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sn when two letters picked without replacement from xnkkxxoqosox.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 112 = 8*u. Is (35\/u)\/((-2)\/116) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -176*110\/605 + -21?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72) - (sqrt(72) + 4*sqrt(72)*3))\/sqrt(8))\/(-6*(sqrt(108)*1 + sqrt(108)) - sqrt(108)))**2.\nAnswer: 12\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1964)\/((-2)\/4*-1*-1). Suppose 3*z + y - 1457 = 5*l, -4*l + 1972 = -4*z. What are the prime factors of l?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t - 2. Let o be l(-5). Suppose -2*w = -2*u - 10, -o*w - u + 10 = u. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = -4*j - 16*j. Which is the closest to 0.1? (a) j (b) -2\/21 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 3072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*a + 48 = 132*a. Solve -5*y + 12 = a*s, s = -2*s + 2*y - 14 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -12.8.\nAnswer: -6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {u: 4, n: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -82 + 83. Find the third derivative of -1885*r - 1 + 1906*r - 26*r**6 + 3*r**2 + c wrt r.\nAnswer: -3120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3581 times 0.2?\nAnswer: -716.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, c: 2, i: 1, j: 3, l: 4}. What is prob of sequence lipj?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -3 (c) -1 (d) 2.63 (e) -4510\/113\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140826 and 5390?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.0426 times 25\nAnswer: 1.065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - -130. Suppose 51 - w = 3*l. Let b = 55 + l. Is 12 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*-6.07\nAnswer: 18.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/16176 and -71\/507.\nAnswer: 2733744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 3 - ((0 - -1) + -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -159*t**3 - 2*t**2 - 2*t - 1. Let h be z(-1). Let i = h + -68. Suppose i = 3*l + 2*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4 = 2*t - 7, 2*b = -5*t + 33. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3602 divide 345748776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-4))\/3 + 299\/(-364)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-42))\/(26\/273)*-1*1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 11739.\nAnswer: 258258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2033222302 (base 4) to base 10\nAnswer: 588466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.320524 - 0.03.\nAnswer: -0.350524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -9, 0, -9677325 in descending order.\nAnswer: 0, -4, -9, -9677325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 6*n**2 - 32*n - 157. Calculate the smallest common multiple of (-5)\/50 + 141\/10 and l(-6).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 y when four letters picked without replacement from {v: 1, y: 2, z: 2, p: 2, j: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f + 1. Let z be t(-1). Suppose -n + z*n = 4. Solve n*c = -c - 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c + c**4 - c - 2*c + (-2*c - c - 2*c)*(0*c**3 - 4*c**3 + 2*c**3) + 6*c**4 + 9*c - 9*c.\nAnswer: 17*c**4 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-24)\/(-21))\/((-72)\/(-84)). Let o = 1.3 - 1.23. Let y = 0.27 - o. Sort b, 4, y.\nAnswer: y, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1201 - (19 + 0 + -10).\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2 - 2*f + 6. Let g be r(-3). Let l be 2\/5 - (-153899988)\/g. Round l to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 33, 115, 249, 435, 673, 963?\n\"Answer: 26*r**2 + 4*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1420 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5994 + 5997. Solve -4*w = p - 4 + 12, r*w + 4*p + 6 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 500248.\nAnswer: -1\/500248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + 3*v - 24, 62 - 96 = s - 5*v for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 18*q - 68. Let m be (2\/(-2) - (-3 - -4)) + 15. Let n be h(m). Put 1\/5, n, -5 in descending order.\nAnswer: 1\/5, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 0 = 5*x + 20, -s + 13 = -4*x. Let r = s - -5. Let u = r - 3. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + -14. What is the common denominator of 65\/2 and (-4 - -2) + 34*l\/20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffrfzzzzfffzrzzzz. What is prob of sequence frff?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) 0 (b) -1\/8 (c) 1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -438\/448273?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*v + 213*v = 67*v - 4559 for v.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 3:16 AM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 69.03 + -70. Let f = -1 - j. Let o = 0.02 + f. Does 0 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 41 (b) 3 (c) -37 (d) 13330 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88 and 38288.\nAnswer: 421168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 - -1617701?\nAnswer: 1617667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -857*g**5 + g**4 - g**2 + 876 wrt g?\nAnswer: -51420*g**2 + 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -63, -159, -317, -549, -867, -1283, -1809?\nAnswer: -2457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - r - 417 = -386, -5*j - r = -19. Calculate the remainder when j is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 - -28. Let f be 4\/(-16)*-9*j. Let d be 8\/(-3)*f\/15. Solve -o = o - d for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2356 - 2359. Put 5, -2, l, 592 in descending order.\nAnswer: 592, 5, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 89523\/2079 - -17 - 60?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2941\/9 + -327. Let v = -5 + 14. Let s = -11 + v. Do q and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3202341253 - 0?\nAnswer: 3202341253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 342*h - 104. Let i(t) = -65*t + 21. Determine -11*i(x) - 2*l(x).\nAnswer: 31*x - 23","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*c**6 + 196*c**4 - 196*c**4 + 47*c**2 wrt c?\nAnswer: -2280*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.5 (b) -0.086 (c) 0 (d) -166\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -39, -54, -69, -84, -99?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100120 + -2?\nAnswer: -1100122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 211450284*s**6 - 23632*s**2 - 3840*s wrt s.\nAnswer: 25374034080*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -12139*a + 2901212. Determine y(239).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -0.3 (c) 4 (d) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22080763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 3721*d**5 - 15128*d**4 - 10183*d**3 + 67694*d**2 - 4404*d + 72 = 0. What is d?\nAnswer: -2, 2\/61, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6240751 is divided by 112.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-693)\/(-539))\/((-6)\/70) - 3\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 3. Suppose 0 = 2*s - w*i - 26, -3*i = -2*s + 41 - 10. List the prime factors of s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 72*n**5\/7 + 75*n**4\/7 + 18*n**3\/7 = 0.\nAnswer: -2\/3, -3\/8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 499, 4, -36.\nAnswer: -36, 2, 4, 499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 28\/10 + 2\/10. Let x(z) = -3*z**2 + z**2 - t*z - z**3 - z**3. List the prime factors of x(-2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4030, -4432, -4846, -5278, -5734, -6220?\n\"Answer: -h**3 - 395*h - 3634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 348, 0, -6, 2, 3.\nAnswer: -6, 0, 2, 3, 348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2422 + 147. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 417 a factor of 4388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0, -2049\/7, 7639?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 3*l + 8. Let h be v(7). Let f = h + -16. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -618, -2183, -4784, -8421, -13094, -18803?\nAnswer: -25548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from glvgillgeevolg. What is prob of sequence vg?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1637119*g**4 - 2*g**3 - 22521352?\nAnswer: -6548476*g**3 - 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 q when two letters picked without replacement from mqsqsqsqq.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -525.992\nAnswer: 2103.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 262 = -253 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {h: 6, j: 7, b: 1, k: 2, w: 2}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -10*i - 16. Let u be h(-2). Suppose -208 = -u*l - 9*l. Solve -4*c - 5*r = -16, -l = -4*c - 2*r - 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104096867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1191744*k*r - 1399819*k + 5*r wrt r?\nAnswer: -1191744*k + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)*-3*6 - -6*-1*sqrt(110))\/(sqrt(160)*-2*-1 + (sqrt(160) - sqrt(160)*-2)*-1).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 6*g - 25. Suppose -3*d + 95 = -5*b, -3*d - 7 + 100 = -g*b. Suppose -8*a + d = -5*a. Solve t - a = 6*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2143 is divided by 712.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 223750 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 w when two letters picked without replacement from {z: 2, f: 1, u: 1, w: 2, p: 1}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 11:28 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -6*f + 4. Sort 3, f, -2 in descending order.\nAnswer: 3, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.08 + -1.08. Let r(t) = 5*t - 3. Let d be r(2). Let w be -3 - (d\/(-2) - -1). What is the nearest to h in w, -3, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, f: 9}. What is prob of sequence fl?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4544 and 426?\nAnswer: 13632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 + 2*j + 2)*(j + j - 3*j)*(-96*j + 23*j - 143*j) - 5*j**3 + 5*j**3 - 6*j**3 as l*j**3 + x*j + t + p*j**2 and give p.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 222.90454 to the nearest integer.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 8 - 2*w**3 - 4*w**2 + 4*w - 7 + 4*w + 14. What is the units digit of j(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 12 = -2*i + 18, 0 = -5*i + g + 108. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 - -909962.\nAnswer: 909962.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*j**2 + 2\/5*j + 3\/5.\nAnswer: -(j - 3)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6)\/r*r*r*r**(-2\/21)*r*r*r**(-1)\/(r*(r\/((r*r\/(r*r**(1\/4)*r)*r)\/r))\/r*r))**(-46) assuming r is positive.\nAnswer: r**(12259\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*h**4 + 0 + 253\/5*h**2 + 726\/5*h + 28\/5*h**3.\nAnswer: h*(h + 6)*(h + 11)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n + 5. Let t(p) = -2*p + 5. Let y(l) = -5*t(l) + 6*u(l). Let b(k) be the third derivative of 5*k**4\/24 + k**3 + 3*k**2. Give -5*b(h) + 6*y(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -7*w. Let m(y) be the first derivative of -4 + 1\/2*y**2 + 0*y. Calculate m(h(t)).\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 397\/5 < 80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p. Let q(z) = -10*z**2 - 4*z + 2. Give -4*c(g) + q(g).\nAnswer: -10*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54 + -49. Suppose 0 = 4*s + 4*m + 176, -304 = u*s - m - 54. Let o = s + 48. Put 9, 0, o in increasing order.\nAnswer: o, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**3 + 0*q + 185 - 3*q**4 + 193 + 4*q + 4*q**2 - 376 to p*q**4 + c*q**2 + i*q**3 + x + r*q and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-20)\/12)\/(25\/(-45)). Suppose 0 = -9*t + 4*t + 25. Solve s*r = 3*m, t = 5*r - 2*m + 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2622*q + 1341*q + 1424*q.\nAnswer: 143*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -245*w**2 + 4654*w + 9. Give x(19).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 i when two letters picked without replacement from lkllkiiil?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 42 = -2*y, y + 22*g - 9 = 20*g. Let v = -5 + 10. Solve v*f - y = -j, -j - 3*j - 32 = -5*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2368*i**4 - 154*i**2 - 75. Let f(p) = p**4 - 15. Let j(x) = a(x) - 5*f(x). What is the third derivative of j(l) wrt l?\nAnswer: -56952*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 8 = s, 2 = 5*s - 4*q - 16. Does 3 divide s\/(-4)*(9 - 47)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(2057))**2 + sqrt(2057))*2.\nAnswer: 22*sqrt(17) + 4114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21044\/5 - 484002\/115. Sort -0.4, -2, 2\/3, 4, m in descending order.\nAnswer: 4, 2\/3, m, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f512dd + 2?\nAnswer: f512df","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, p: 4, z: 10, c: 5}. What is prob of picking 3 p?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 774.\nAnswer: 7740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 9*v. Let t(h) = -3*h + 1. Let f(y) = 28*y**2 - 84*y + 28. Let k(a) = -f(a) + 28*t(a). Calculate k(g(o)).\nAnswer: -2268*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 1)\/(-43 - -42)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 42, 31, 18, 3, -14?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 19683.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 36*o**2 + 3*o + 6. Let t be r(5). Suppose -2*m + t = 307. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*q + 44 - 130, 0 = 4*q - y - 80. Calculate the highest common factor of 9262 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -243\/67 - 61807\/268. Let v = -427\/2 - c. What is the common denominator of v and (-6)\/27 + 1031\/(-180)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15602345 (base 8) to base 7\nAnswer: -42435225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 151, 323, 585, 955, 1451, 2091, 2893?\nAnswer: 3875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -6, -23, 1 in decreasing order.\nAnswer: 1, -3, -6, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-8)*(-24)\/(-18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 0.5 (c) 1\/11 (d) -3 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13272 and 8904.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 5*w**3\/3 - 19355*w**2 + 74923205*w - 11550. Solve p(v) = 0 for v.\nAnswer: 3871","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) + 1)*1)**2 + 5*(sqrt(343) + (sqrt(343)*-3 - sqrt(343))).\nAnswer: -91*sqrt(7) + 344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4 - 4. Let g = n - 14. Let x be g\/24 - (-66)\/8. What is the highest common divisor of 80 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ojjoiiokof. Give prob of sequence ijik.\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.984 (b) 4\/7 (c) 0.46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 4 (b) 681 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 3*q + 13 = 0, 14 = 5*b - 10*b - 4*q for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 799696045 to the nearest integer?\nAnswer: 928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1509, 1514, 1523, 1536, 1553, 1574, 1599?\n\"Answer: 2*g**2 - g + 1508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 10 = -5*p, 8*v - 3*v = -5*p + 40. Solve 3*u - v = u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -16 (b) 2\/7 (c) -5 (d) 13\/6 (e) 3 (f) 5 (g) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*r + 8*r + 8*r + (1 + 0 - 3)*(-5*r + 2*r + 5*r) - 5*r + 4*r + 0*r - 2043 - 57*r + 2043.\nAnswer: -69*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 4 - 2*m - 7*m**3 - 3 + 3 as n*m + l + t*m**3 + k*m**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zezg when four letters picked without replacement from gzeeeeeeeezzeee?\nAnswer: 11\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -18*n - 2. Let q(v) = v. Determine -8*q(h) + u(h).\nAnswer: -26*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-1)*100\/60. Let h = 4.77 + -1.78. Let x = 0.01 + h. Which is the second biggest value? (a) x (b) f (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51940000 rounded to the nearest one million?\nAnswer: -52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38803336*d**5 - 17670*d**2 + 405*d?\nAnswer: 2328200160*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 8:45 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c + 30 = 16*c. What is the third derivative of 45*v**6 + 2*v**2 - 21*v**c - 17*v**6 wrt v?\nAnswer: 840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13 - -1100 - -12)\/(1\/31). Suppose 39347 = 46*a - s. What are the prime factors of a?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from mmmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + 4*c, 4*k - 29*c - 14 = -28*c for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 261\/5 + -52. Let x(r) be the first derivative of 3 - z*r**5 + 0*r**4 + 1\/8*r**2 + 1\/4*r**3 + 0*r. Determine t, given that x(t) = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6093.39923547 + 2174?\nAnswer: -3919.39923547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 75*g**2 + 2*g + 6*g - 9*g. Suppose 0 = 3*x - 5*r + 13, x = 5*x - 5*r + 14. What are the prime factors of n(x)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62 + 62. What is the units digit of (17 - (1 + 0)*t)*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (0 - (0 + 7))) + -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1377 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a8aa37 + -9?\nAnswer: 1a8aa29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.005 and 44409928.\nAnswer: 44409927.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30\/50 - 77\/(-5) is divided by 6*(1 - 2)\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2160, -17472, -59028, -139950, -273360?\nAnswer: -472380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16523 divided by 4.\nAnswer: -16523\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10894 + 12223. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/3)*j*j)\/j)**(27\/2)*j*j**(7\/3)*j**(-6\/11)*j**(3\/4)*j**(-5)*(j*j**(-1)*j*j)**(-13\/8) assuming j is positive.\nAnswer: j**(283\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -18, -64, -150, -288, -490, -768, -1134?\nAnswer: -1600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 189?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 0.2 (c) 3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 25, -1, -4, -3 in descending order.\nAnswer: 25, 19, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*j*l**3 + 375*j*l + 2*j + l**3 + 431*l**2 - 11*l wrt l.\nAnswer: -174*j*l + 6*l + 862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a century?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(3\/4))**2\/(r*r**(-4)*r*r\/(r*r*r*r*r*r\/r**(-3\/4)*r)) assuming r is positive.\nAnswer: r**(57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -871432*b**5 - 86913*b - 3 wrt b?\nAnswer: -17428640*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*p - 507 = -195 + 218. Let t(s) = 2*s**2 + 16*s + 25. Determine t(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100110000111100000 (base 2) to base 15.\nAnswer: -83dec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -4*c + 47. Let d be p(11). Suppose 977 = d*a + 5*q, a + 2*q = -0*a + 327. Is 29 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3013546?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/5, -1\/2, 5\/6 in descending order.\nAnswer: 5\/6, -2\/5, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118600 is divided by 29384.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(152)*-4 - sqrt(152)) + sqrt(152) + sqrt(152) + 1*sqrt(152)*-1)\/(-5*sqrt(288)*2).\nAnswer: -sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3517007267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -g**4\/12 + g**3\/3 + 2*g**2 - g + 437. Let s(a) = -a**2 + 1. What is s(i) + w(i)?\nAnswer: -2*i**2 + 2*i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of 1\/60*n**6 - 1\/20*n**5 + 0*n + 5*n**2 + 0*n**3 + 0 + 0*n**4. Find the third derivative of w(r) wrt r.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/93)*u**0*(u\/(((u*u**(2\/35)*u)\/u)\/u)*u)**(7\/8) assuming u is positive.\nAnswer: u**(1561\/930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - m = 12. Let r be (-1 + 3)*(-3)\/m. Which is smaller: 1\/5 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*l + 19*l - 48. Suppose 5*q = 15, 2*k + 2 = 2*q + 16. Let o = k - l. Is 9 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 113487? (a) 0.19 (b) 1 (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 0. Let a(b) = 2*b. Let r be (1 - -2)*5\/(-15). Let i be a(r). Which is greater: i or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 253235 (base 8) to base 5.\nAnswer: 10301314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4*y + 118344 = 0, -31*y + 88726 = 3*q - 36*y. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 2*a**2 + (0 - 2*a**2 + 0)*(0 + 3 - 5) + 0 + 0 + a**2.\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + (-1)\/(5 + (-284)\/56). Let d(q) = 16*q**2 + q - 1. Let v be d(1). Are c and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 365583 to the power of 1\/2, to the nearest integer?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 + 30*j - 11 - 1 - 25*j**2 - 8 in the form k*j**2 + g*j + u and give k.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -92*-0.522095\nAnswer: 48.03274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50 + -50.46. Let k = 1.44 - n. Let x = 1.8 - k. What is the closest to x in -5, 0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 2 - (2 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(153)*-1 - sqrt(153))*4)\/(sqrt(9) + (sqrt(9) - sqrt(108)\/(sqrt(12)*-1) - sqrt(9))).\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yycc when four letters picked without replacement from cccyccccyycycc.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - p - 1 - 4*p)*(-4 + 2 - 5).\nAnswer: 14*p + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129169*k - 8 = 129171*k, 4*k + 6 = -2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide (-35 - -1)*(-9)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -4. Suppose 37*o = 33*o + 24, 2*o = 3*f - 3. Suppose m - 3*c = y, -f*m - 6*c + c = -5. Solve m*k = -5*a - 9, -5*k + 26 + 1 = -4*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**5*t**2 + c**5*t + 28*c**2 + 2*c*t**2 wrt c?\nAnswer: -120*c**2*t**2 + 60*c**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -5*u - 6. Let c(q) = 14*q + 17. Suppose -5*w = -4*w + 2. Let t be (-7 - w)*51\/(-15). Calculate t*n(l) + 6*c(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 11*m - 6*m - 20 = 0, 0 = -2*c - 4*m - 6 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -73, 1, -20 in ascending order.\nAnswer: -73, -20, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*5\/(-40))\/(-1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2432*s = -1759*s - 6057 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -3\/2 (b) 2\/4937 (c) -120\/11 (d) 0.2 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 1. Let x(f) = -11*f**3 - 1. Suppose -8 = 204*q - 212*q. Calculate q*k(u) + x(u).\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 8*g**2 - 4. Suppose 7 = -2*z + 3. Let x be -1*(12 + 8\/z). Calculate q(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -122216\/1417 at least as big as -87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + -3413.67?\nAnswer: -3413.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 389 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(2)*2 - (sqrt(45) + 1)) + -5*(sqrt(5) - (sqrt(5)*-1 + -2)**2).\nAnswer: 14*sqrt(5) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67765*p**3 - 2*p - 22759*p**2 + 2*p + 22759*p**2.\nAnswer: 67765*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**3 - 4*b + 1. Let j(q) = 3*q**3 - 5*q + 1. Suppose 5*a + 4 = 4*t, 10 - 2 = t - 3*a. Let p(o) = t*j(o) + 5*d(o). Differentiate p(g) wrt g.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -11 + 1. Let u be 70\/7*2\/f. Solve -u*q + 18 = 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -7*q - 10. Let m(j) be the second derivative of 1\/10*j**2 + 1\/100*j**5 + 0 + 1\/20*j**4 + j + 1\/10*j**q. Factor m(o).\nAnswer: (o + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 17*y**3 + 6*y**2 - 2. Let x(c) = 84 + 89 - 263 - 17*c**3 - 13*c**2 + 8*c**2 + 92. Give 5*j(h) + 6*x(h).\nAnswer: -17*h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.677 + 1.77. Let x = -0.057 - u. Let j = 0.15003 + x. What is j rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**2\/11 - 1204*u + 13246\/11 = 0. What is u?\nAnswer: -6623, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2839*z**3 - 1063*z wrt z?\nAnswer: -17034*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pdbdbbpbkdpdbbdbbp. Give prob of picking 1 p, 1 k, and 1 d.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 92 and 22609.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + sqrt(7) + 0 + sqrt(56)\/sqrt(2)).\nAnswer: 3 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**3 + y**2 + y + 1. Let n(j) = 13*j**3 - 6*j**2 - j - 9. Determine -6*b(z) - n(z).\nAnswer: -z**3 - 5*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 7:05 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, 550, 2\/9, 2\/7, 3\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43246\/9 - 4800. Find the common denominator of ((-5)\/3)\/(42\/93) and q.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 1182786.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide -1*(-12)\/(-8)*-6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-1 + sqrt(275))*-6*-1 - (-6*(sqrt(99)*1 - sqrt(99)))\/sqrt(9)*-1)**2.\nAnswer: -360*sqrt(11) + 9934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1381864\/44)\/((-6)\/(-12)). What is n rounded to the nearest 100?\nAnswer: 62800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**3 + 59*y**2 + 27*y + 31. What is x(-29)?\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h + 7*h - 6 = -n, -13*h = -21*h - 4*n + 24 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*x = -0*c + 14, 0 = 3*x + 3. Suppose 14*o - c = 12*o. Factor 2*k**3 + 1 + 0 + 4*k**4 - k - 3*k**4 + 2*k**o - k**5 - 4*k**2.\nAnswer: -(k - 1)**3*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 189685 and 295?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from bkbbk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 4*f**2 + 2*f - 37. What is the units digit of m(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 880796652*y + 126981. Let k(r) = -13873*r - 2. What is -2*f(l) - 126981*k(l)?\nAnswer: 14109*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21 and -0.29054.\nAnswer: -6.10134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + i)*(90 - 201 - 242) to the form v + n*i and give n.\nAnswer: -353","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 14.8 - -17\nAnswer: 31.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + sqrt(204)\/((sqrt(132) - (sqrt(132) - sqrt(132)*-1))\/sqrt(11))).\nAnswer: -5*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*q + 8*q - 19. Which is the third smallest value? (a) q (b) 0.2 (c) 688\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 8*b**2 - 21*b + 34. Let r(l) = -l**3 + 17*l**2 + 110*l - 11. Let n be r(22). Let v be x(n). Put -4, v, -2 in increasing order.\nAnswer: v, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 132*f + 3035. Give d(-20).\nAnswer: 395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 66*r + 256 + 8. Let f(x) = -1 + 2 + 2*x**2 + 5*x + 0*x**2. Give f(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 761429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78 and 5072338.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 + 67. Suppose 0 = 4*u - 24, -199 - 668 = -5*d + 3*u. Calculate the remainder when d is divided by x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 3. Let k = 1909 - 1914. What is the second biggest value in k, 7\/2, m, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -5, 31, -1\/4 in decreasing order.\nAnswer: 31, 0.2, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 25 = -2*t - 3*b, -5*b = -2*t + 15. Let c = 21 + t. Calculate the lowest common multiple of c and 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65890*w - 102*w**2 - 65890*w - 40*w**2 - 4*w**2 to t + u*w**2 + z*w and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + sqrt(68) + sqrt(68) + 0 + -5 + -1*(sqrt(272) + 4 + sqrt(17))**2*1).\nAnswer: 36*sqrt(17) + 446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-51)\/(-204))\/((-3)\/(-60)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2352 and 49392?\nAnswer: 49392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s + 2. Let z be a(2). Sort z, 3, 1, 2 in descending order.\nAnswer: 3, 2, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -14\/3, -17\/5, -2\/15.\nAnswer: -14\/3, -17\/5, -1, -2\/15, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4*o = 25 - 5, 3 = -z - 2*o. Suppose -5*y + 0*y + 15 = -i, 10 = 5*y - 2*i. Let s be 19\/(-7) - 4\/14. Put z, y, -5, s in descending order.\nAnswer: y, s, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -4, -60677, 407, 2\/5 in descending order.\nAnswer: 407, 2\/5, 0.3, -4, -60677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p**2 + 11. Let l(d) = 2*d**2 - 5. Suppose x + b = 12, 2*x + 3*b = -b + 30. Let j(f) = x*l(f) + 4*y(f). What is the derivative of j(m) wrt m?\nAnswer: 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.321+0.5\nAnswer: 0.821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 7*x. Let a(h) = -2*h**2 + 41*h - 18. Let d be a(20). Let n be (0 - d)\/((-10)\/(-15))*-1. Let v(u) = 8*u. Determine n*v(o) - 4*s(o).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3639*g**2 + 350*g**2 - 137*g + 277*g - 140*g in the form v*g + q + u*g**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -3*q**3 - 1053*q**2 + 8568*q - 17232 = 0.\nAnswer: -359, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 25*p + 5 - 14 + 0. Let g be l(3). Round g to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-184)\/(-3312))\/((-2)\/(-684))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3427416 seconds to minutes.\nAnswer: 0.00571236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cyyfyyyfvrvyv. What is prob of picking 1 y, 1 c, and 2 f?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(28\/(-6))*3\/243)\/(5\/5).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*b - 59. Let l(r) be the second derivative of -11*r**3\/2 - 184*r**2 - 101*r + 2. Let j be l(-12). What is the greatest common factor of b and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -316) + -155 - 63.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3 + 1479*z**2 + 12003*z + 10521.\nAnswer: -3*(z - 501)*(z + 1)*(z + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 4*b**7\/5 - b**4\/3 + 193*b**2\/2 - 9. Let l(p) be the second derivative of i(p). Find the second derivative of l(h) wrt h.\nAnswer: 2016*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.94 + -0.06. Let s = l + 0.5. Let x = -4 - -1. Which is the third smallest value? (a) s (b) x (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 580 + -274. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 - 31574*t**2 - 22527417*t - 4064810112.\nAnswer: -(t + 363)**2*(t + 30848)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-4))\/((3\/(-15))\/(309958\/(-31845))).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6829417 rounded to four dps?\nAnswer: -0.6829","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*p**2 + 0*p**2 + 2*p**2 + (p - 2*p + 3*p)*(-33 + 2*p + 68 - 29).\nAnswer: -p**2 + 12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 395 (c) -25862\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -1) + (3 - -1) + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 330671 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(11\/5))**(-1\/2)\/(m**(-9))**(-2\/13) assuming m is positive.\nAnswer: m**(-323\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 644 divide 768292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/((-1)\/(-28 - 1)). Let p = 221 - q. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1081 = -26837*l + 26884*l for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17842590?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(400)\/sqrt(8))*-2)**2 + (sqrt(40)\/(sqrt(200) - sqrt(8)) + 5)*-5.\nAnswer: -121\/5 - 5*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 245022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5463?\nAnswer: 3, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 9. Let l(m) = 8*m**3 - 2*m**2 - m. Let x be l(w). Let r(f) = -2*f - 9. Calculate the remainder when 26 is divided by r(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1782266 divided by -891133.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1804\/(-1) - 0\/5. Let v be i\/(-10) + 10\/(-25). Suppose 4*a = c + 192, -3*a + c + v = 35. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12829343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 44*n**2 - 297*n + 1687. Determine u(6).\nAnswer: 1489","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 2304120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1753607\/47 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -408, -0.05, 3, -10.\nAnswer: -408, -10, -0.05, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 39 + -25 + -24.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1313976 and 1484.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xeex when four letters picked without replacement from {e: 2, x: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + h - h)*(0*h - 2*h**2 + 0*h) - 50876*h**3 - 2*h - 57 + 0*h**2 + 50875*h**3 - 5*h**2.\nAnswer: 5*h**3 - 5*h**2 - 2*h - 57","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 403157\/10411 - (-351)\/(-9)\nAnswer: -8\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001154163 rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*y - 8 = 171*y. Let c = -0.5 + 0.6. What is the nearest to c in y, 0.3, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23.5 - -6.2. Let n = -20.3 - u. What is the second smallest value in 0, 3, -0.2, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 91*n**6 + n**5 - 10*n**2 + 18?\nAnswer: 10920*n**3 + 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a - 4*w - 45, -2*a + 9*w + 15 = 4*w for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 7*r**3 - 5*r**2 - 4*r + 4. Let j be a(0). Let o = 0.25 + -0.3. Let n = o - -2.05. Sort 0.5, n, j in decreasing order.\nAnswer: j, n, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 345*x**4\/2 - 1432*x**3\/3 + 3510. Find the third derivative of c(w) wrt w.\nAnswer: 4140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 143, 142, 141, 140, 139?\n\"Answer: -m + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 32\/5 of a meter?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 9*l. Let p be h(9). Suppose p = 2*k - 2*g - 6118, 5*k - 21160 = -3*g - 5849. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-4))\/(7\/2). Let r(w) = w**2. Let a be r(-1). Is l at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002547652541 rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s = -5*s + 2*j - 6*j - 422, 2142*s - 2138*s - j - 95 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4896557, -4896508, -4896459, -4896410, -4896361, -4896312?\n\"Answer: 49*w - 4896606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 162 - 54. Let i(q) = -p*q - 118*q + 226*q + q**2. Let g(c) = c - 33. Calculate i(g(s)).\nAnswer: s**2 - 66*s + 1089","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -680 (b) -0.3 (c) -41 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 a factor of 36204733?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is 19355\/1185 - 16\/(-6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 14. Suppose q + g*h = 2*q - 12, 0 = 2*q - 5*h - 14. Calculate the least common multiple of q and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 - 39. Which is bigger: 14 or d?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1100*t + 1093*t + 1359*t + 1101*t + 1100*t - 5752*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.2 + 2. Let q = i - -0.5. Let k be 4 + ((-62)\/56 + 0)*4. Which is the third smallest value? (a) k (b) q (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 4318.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1185777855?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15579?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t + 5*t = 6 - 36 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/5 and 23\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2)*l*l)**(-3\/14)\/(l*l**(2\/7)*l)**(2\/17) assuming l is positive.\nAnswer: l**(-32\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*w + 22*w = 4*o - 6816, -2*w = 0. Suppose 3*x + 3*y = o, x - 4*y - 495 - 48 = 0. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3*sqrt(320) + 0)**2.\nAnswer: 192*sqrt(5) + 2896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1402?\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -13532595, -13532600, -13532607, -13532616, -13532627, -13532640, -13532655?\n\"Answer: -j**2 - 2*j - 13532592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -8. Suppose 7*g - 4*g - d = 0. Suppose 5*b + 2*v = 59, 5*v = b + g*b - 54. Calculate the remainder when 49 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 2, -3, -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - o + 108. Let z(n) = n**2 - 1. Let r be z(1). What is the hundreds digit of k(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 - 16 = 3*b. Suppose -5*m - 90 = 5*u, -m + 0*m = 3*u + 52. Let x = u - b. What is the remainder when 80 is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of 10\/3*p**3 + 31*p + 25\/12*p**4 + 1\/24*p**6 + 0*p**2 + 1\/2*p**5 + 0. Find n, given that d(n) = 0.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4968.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3 = b. Let n(p) = 33 + 8 + 12 - 49 - p**2. Give n(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 20. Suppose w = y - 0*y. Suppose -y*c - n + 256 = -c, 3*c - 4*n = 149. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4*d = 10, 2 = 2*v + 3*d - 5. Let x(n) = 2 - n**3 - 6*n + 2*n**3 + n - n**2 - 4*n**v. List the prime factors of x(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.008 * -21.9.\nAnswer: 0.1752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -7*u + 1. Let w(q) = 4*q - 1. Give -6*o(d) - 11*w(d).\nAnswer: -2*d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 103 * -1503.3.\nAnswer: -154839.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4 + sqrt(1573).\nAnswer: 7 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - l - 14367 = 0. Suppose 3*w = l - 33739. Round w to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**5\/60 + q**4\/6 + 7*q**3\/6 - q**2. Suppose 10 = -12*m - 26. What is the units digit of g(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 + 92 = -5*d. Let w(k) = -k + d*k - k - 2*k**2. Let q(b) = 21*b + 2. Give q(w(p)).\nAnswer: -42*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*h - 103*h - 9666 = -32486 for h.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15907512 and 47278?\nAnswer: 1224878424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11111111 (base 2) in base 16?\nAnswer: -ff","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34002521 - -20?\nAnswer: 34002541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.047 to three dps.\nAnswer: -0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04926 rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9039.34 and -4.6340245.\nAnswer: 9034.7059755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0 (b) 7 (c) -1 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/4*u**3 - 45\/2*u**2 - 6750 - 675*u = 0 for u.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.607 - 6.4671. Let z = 31 - 31.136. Let t = d + z. What is t rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 457 = 5527. Let t = c - -500. Round t to the nearest 100.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 1. Let n(y) = y**3 + 12*y**2 + 10*y + 17. Let p(z) = -2*d(z) + n(z). Let w be p(12). Let t = -126 + w. Is t at most 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 4*s**2 + 2*s - 4. Let g be a(4). Suppose -2*o - g = 3*o + w, -3*w - 12 = o. Let t(f) = -f + 8. What is t(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -a - 0. Suppose -v + 4 = -a. Is 12 a factor of (6\/v)\/(1\/14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 273 = 39*i. Suppose 0 = -i*v - 8*v + 60. Sort 9.3, v, 0.2.\nAnswer: 0.2, v, 9.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, k: 10, o: 1}. Give prob of picking 1 o, 1 n, and 1 k.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 25 - 2 - h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**3 - 4*t**2 - 19*t - 41. Calculate x(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v + 15. Suppose -2*s + 39 = -5*s. Let y be a(s). Suppose -y*n - 5*g - 19 = 0, -g - 1 + 2 = 2*n. What is the remainder when 10 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13909 + 13909.3. Which is the biggest value? (a) 26 (b) m (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u - 3. What are the prime factors of l(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 27927 = -1628 + 9650. What is the ten thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 117*d**2 - 2*d - 14.\nAnswer: 234*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, d: 6, n: 4, o: 3, q: 1}. Give prob of sequence dp.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/9 or 2291?\nAnswer: 2291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1557 + 1558. Let q = -746\/79 + 69580\/1027. Let v = q + -58. Which is bigger: v or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 54120115?\nAnswer: -54120116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1257062\/188559 + -2\/188559. Factor 125\/3 - p*o**2 - 5\/6*o**3 - 25\/6*o.\nAnswer: -5*(o - 2)*(o + 5)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 + (3 - 15) - -2) + 6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5529 and 111753991.\nAnswer: 1843","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4 + sqrt(425) + 0 - (0 + sqrt(425) + (sqrt(425) - sqrt(425)*-1)))**2.\nAnswer: 80*sqrt(17) + 1720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**3 - 29*h**2 + 80*h + 105. Is j(28) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.03362482 to three dps.\nAnswer: 10.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5111255 (base 6) to base 4\nAnswer: 323033303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 + -20. Put -0.4, -0.5, g in descending order.\nAnswer: g, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 201 and 216558?\nAnswer: 14509386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -9, -5, 2 in ascending order.\nAnswer: -9, -5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4971*m + 29789. What is z(6)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*u + t = 14, -u = -2*t + 10. Let j(a) = -a**2 - a + 10. Let c be j(0). Sort c, -5, u, 2 in descending order.\nAnswer: c, 2, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 2*t - 6. Suppose f + 6 = -0*f + 3*h, 4*f - t*h = -6. Solve f = 3*d - 4*d - 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 5*q**3 - 2*q**2 + 4*q + 3*q**3 - 3 in the form l*q + w*q**3 + a*q**2 + y and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 7*q**2 + 8*q - 5. Suppose -y + 0*y = 3, 5*v - 46 = 2*y. Let t(d) = 4 - 3*d**2 + d - 3*d**2 - v*d. Determine -4*p(f) - 5*t(f).\nAnswer: 2*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 8. Find the third derivative of -123*u + 0*u**5 - h*u**2 + 3*u**5 + 123*u wrt u.\nAnswer: 180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**2 - 2*f**2 - 2*f**5 - f**2 - 2*f**5 + f**2 + (-2*f**4 + 3 - 3)*(-1 + 2*f + 1) - f**5 + 3*f**5 - f**5 + 672*f - 161*f**5 - 331*f - 341*f.\nAnswer: -168*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12575883 - 0?\nAnswer: 12575883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 11, -1, 70968.\nAnswer: -1, 0, 11, 70968","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 906594 is divided by 75542.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12152\/13, -21, -1\/3.\nAnswer: -12152\/13, -21, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -159345 smaller than -159345?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4127*c*f**6 - 6202*c*f**2 + 2*c*f + 9*f**6 wrt f?\nAnswer: -495240*c*f**3 + 1080*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14 + -16 + 8*1 + 442?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -457*q**4 - 179060*q**3 + 646*q**2 - 3788*q + 1?\nAnswer: -10968*q - 1074360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-125)\/(((-9)\/2)\/9). Let s = 502 - y. Does 28 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-2) + 2)*4. Let s be ((-3)\/d)\/((-3)\/4). Let h be (24\/18)\/(s\/6). Solve -z + h*z - 3 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - k + 14 = 0, -5*k + 13 = -7. What is the third derivative of 80*o**t + 13*o**3 + 0 - 36*o**2 + 0 wrt o?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*f**2 + 70*f**2 + 68 + 53*f**2 - 68.\nAnswer: 113*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2128 is divided by 133.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/2*(0 - 4\/(-6)). Suppose 4*y - 31 = -h*m + 129, 0 = -5*y. Is 32 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9099 = 17*y - 27765. Let s = y - -551. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4604673?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u. Let h be -7*(2 - (6 + -3)). Let v(n) = -h + 7 - 5*n + 3*n. Determine i(v(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**3 - 37*b**2 + 18*b - 19. Give o(-19).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -2493019312 and -2493019312 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 50*x**2 - 187*x - 1. Does 2 divide w(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -334\/39 + 87764\/10257. Let q = f - 520\/789. Let u = 0 + 0. Which is the second biggest value? (a) 1 (b) q (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(14) - sqrt(28)\/sqrt(2))\/sqrt(2)*-2 + (sqrt(70)\/(-2*sqrt(10)*-2)*-3)**2 + -4.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 1 - 11\/48*i**4 - 1\/20*i**5 + 5*i + 0*i**2 + 1\/8*i**3. Let n(a) be the first derivative of v(a). Factor n(l).\nAnswer: -l*(l + 3)*(4*l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*c - 6*c. Let q(x) = -x + 9. Let k be q(c). Suppose -5*p - y + k*y + 126 = 0, -p + 2*y + 30 = 0. Does 11 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -252*r**2*t**3 + 10790*r**2*t**2*v - 2*r*t**3*v - 2*r*t**3 + 84*r*t**2 + 78*r*t*v - 4*r*t wrt r.\nAnswer: -504*t**3 + 21580*t**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 1:58 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.32 - 561.32. Sort -3\/2, y, -2, -5 in decreasing order.\nAnswer: -3\/2, -2, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of v**4\/3 + v. Let p(j) = -14*j**2 + 6984*j + 8. Let u(d) = -10*d**2 + 4365*d + 5. Let n(i) = 5*p(i) - 8*u(i). Give n(a(x)).\nAnswer: 160*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 145353162 divided by -29\nAnswer: -5012178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 12:09 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/13)\/q)\/q**(-2\/15))**(-44) assuming q is positive.\nAnswer: q**(8756\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -6. Let u be ((-3)\/(-2))\/((-7)\/(-378)). Suppose -u = -p*m + 109. What is the highest common divisor of m and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1416 + -28.1416. Which is the second smallest value? (a) -3 (b) 20 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2.5343298 minutes?\nAnswer: 0.04223883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2821860 is divided by 940580?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000005015 rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 0 (c) -0.9 (d) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 13, l: 3}. What is prob of picking 2 d?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -17*r. Let m(d) be the first derivative of d**2\/2 + d - 3581. Give g(h) + m(h).\nAnswer: -16*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 5*h + 14, 4*l - 4*h - 8 = -0*h. Let y = 7 + l. Let k be 8\/20 + 106\/y. What is the highest common divisor of k and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 7*h**2 + 6*h + 4. Suppose 2*x - 7 - 19 = 0. What is the lowest common multiple of (-4)\/(8\/6) + x and v(6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, l: 1, t: 1}. Give prob of sequence bblt.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11 + 13*b - 5 - 9 + 1 wrt b?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14284, -29291, -44296, -59299, -74300, -89299, -104296?\nAnswer: -119291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**4*q)**(-3\/25)*(q\/(q*(q*q**(1\/18)*q)\/q*q))\/q*q*q\/q**(-6\/5) assuming q is positive.\nAnswer: q**(-41\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 5:09 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.0447146 and 1.3.\nAnswer: 1.35812898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uoou when four letters picked without replacement from oouuoou.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**2 + 35*c + 13. What is the tens digit of n(-23)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3 + 8*x + 7*x + 2*x. Suppose 3*a = -1 + 7. Is k(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*24.1.\nAnswer: -12.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**4 - r + 2*r**4 + 2*r)*(5*r - 3*r - r).\nAnswer: 2*r**5 + r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*y)*(0*y**3 - 5*y**3 + 3*y**3) - 36*y**4 - 278 + 278.\nAnswer: -32*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-10) + (-223)\/(-5). Let j = t - 19. Is 5 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -160 + 162. Let s(q) be the second derivative of 2\/3*q**3 + 0*q**4 + 0*q**u + 1\/20*q**5 - 2*q + 0. What is the second derivative of s(d) wrt d?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 511065085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-392)\/(-63) + 4\/(-18)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of 0*x**5 - 3 + 0*x**4 + 0*x**2 - x + 7\/3*x**3 - 11\/5*x**6. What is the second derivative of h(l) wrt l?\nAnswer: -792*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 225, 228, 231, 234?\n\"Answer: 3*s + 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 + 2 + 4*l**3 - l**2 + 7*l**2 - 8 - 3*l.\nAnswer: 3*(l - 1)*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 2*o**2 + 3*o. Let k be z(-3). Let s = 4 - k. Suppose -3*i + 4 + s = w, 0 = -2*w + 4*i + 16. Calculate the remainder when w is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of 0 - 1\/12*k**4 - 2*k**2 + 0*k + 0*k**3. Let z(j) = -2*j**2. Give z(m(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a + 6*a - 5*a + 4*a**3 - 13*a**4 - 5*a**3 to v*a**2 + u*a**3 + o + f*a**4 + c*a and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 691.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 654*v - 669*v + 72180 = 0. What is the greatest common divisor of 60 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 9*d + 23*d - 1298400. List the prime factors of d.\nAnswer: 2, 5, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -384*j**2 - 4*j - 5. Let f(d) = 385*d**2 + 5*d + 5. Let z(t) = 3*f(t) + 2*v(t). Let w be z(-2). Suppose 0 = -23*a + 14*a + w. Is a a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - -2) + -339 + 319\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + 5*z - 2*c + 2, -c + 5 = z. Solve -t + 5*b = -0*b + z, t + 6 = 4*b for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 10\/(-3))*(186 + -187).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 17433*p - 976270. Determine h(56).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-2)*(-100)\/(-1375)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4511?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72403 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q. Let r = -54 - -55. Let s be (-4 - (r + 7))*-8. Let i(h) = -s + 96 + 2*h. Determine p(i(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-9)\/(-3))\/15)\/(54\/(-90))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 2*g - 4*d + 1, 0 = -5*g + 2*d + 19 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 659652 = 79*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x + 5 = 3*r + 8*x, -4*r = 4*x + 20. Which is the second smallest value? (a) 7\/6 (b) 0.1 (c) r (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 238372032 - 14302834727\/60. Let v = -8546 - k. Find the common denominator of v and -109\/14.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 26 = 1. Solve 13 - z = 2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3*n = -261, 2*l - 3*n = 202 - 33. What is the remainder when 150 is divided by l?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 6*v. Let g be a(6). Suppose 0 = -4*h - z + 20, -5*h + g*z + 34 = -z. Calculate the greatest common factor of 66 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uukk. Give prob of sequence ukk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-280)\/(-42))*20\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -373, -7\/6, 1 in decreasing order.\nAnswer: 1, -7\/6, -4, -373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccg when three letters picked without replacement from {c: 1, a: 1, g: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**2. Let d(m) = -m**2 - 3*m + 10. Let l be d(-4). Let b(z) = l*z**2 + 16*z**2 + 11*z**2 - 21*z**2. Calculate b(y(r)).\nAnswer: 108*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r - 125 + 8*r - 87.\nAnswer: 5*r - 212","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39*h**3*m**3 - 10*h**3*m**2*x**3 + h**2*m*x**3 - 18*h*m**3*x**3 + 28*m*x**3 wrt h?\nAnswer: -234*m**3 - 60*m**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2334 and 27.\nAnswer: 21006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*s - 11*s - 5100 = 0. Let n = 523 + s. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8614931 rounded to one decimal place?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of c**4\/20 + 31*c**3\/10 - 153*c**2\/5 - 8*c - 13. Factor r(d).\nAnswer: 3*(d - 3)*(d + 34)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-536)\/(-1675)*-20*5?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2281056 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10769621 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of 2\/3*k**3 + 0 + 5\/21*k**4 - 4\/35*k**5 - 4\/7*k**2 - 45*k. Find c, given that t(c) = 0.\nAnswer: -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/6 (b) -47 (c) 1 (d) 0.3 (e) 33869\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000152036 to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38271400 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 847 + -422. Let q = 421 - v. Which is the fourth smallest value? (a) -1 (b) q (c) 0.3 (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.496 + 3.647. Let d = -0.221 + b. What is d rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.9 and 22.244852.\nAnswer: -20.0203668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*s = -13*s - 96 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 24 = 8*s. Suppose -x + 7 - s = 0. What is the nearest to x in 0.4, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-20))\/j**(-25) assuming j is positive.\nAnswer: j**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5753563, -11507161, -17260759, -23014357, -28767955?\n\"Answer: -5753598*z + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -7*225\/(-420)*4\/3. Suppose 0 = 2*f - 10*m + 5*m, -5*f + 35 = b*m. Let s(i) = i**2 - 2*i - 6. Calculate s(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.35448 milliseconds in seconds?\nAnswer: 0.03335448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9728759, -19457506, -29186253?\n\"Answer: -9728747*k - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (20\/2 - 4)*4\/6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*k - 158*k + 8 = 0, 5*w - 65 = 5*k for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*n - 861 = -16*n - 885 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 4*z - 7. Suppose 0*d = -d. Suppose d = -2*r + 7*r + 25. Let n be v(r). Which is the smallest value? (a) n (b) 0.4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -1293*j - 55688. Determine g(-43).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 7*r - 12 = 0. Calculate the remainder when 70 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(78) - sqrt(78))*-6 - sqrt(78) - -2*sqrt(78)*3)\/(6*sqrt(864)\/sqrt(9)).\nAnswer: 5*sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/6)\/a)**(-2\/9)\/((a**4*a)\/a**(-6)))**5 assuming a is positive.\nAnswer: a**(-1460\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-116)\/108 - -1) + (5121\/243 - 4).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 140807447138*s**2\/5 + 28656396*s\/5 + 1458\/5.\nAnswer: 2*(265337*s + 27)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3. Let l(x) = -608*x**3 - 380*x + 95. Let s(k) = -19*k**3 - 12*k + 3. Let y(w) = 3*l(w) - 95*s(w). Determine 38*p(g) - y(g).\nAnswer: -19*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 27?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ul when two letters picked without replacement from vuvvvulopvppv?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 8*k + 16. Let b be u(-6). Suppose 0 = -5*x + 10, 3*t - x - 12 = -b*x. Factor 2\/5 + 2\/5*n**t + 4\/5*n.\nAnswer: 2*(n + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1232 = 2026*z - 1949*z for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**(-1\/7))*u**(-4\/11)\/u*u)**(-22) assuming u is positive.\nAnswer: u**(78\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/(-8) + 1 - (-5)\/(-40). Suppose -l + a*l - 304 = -5*f, -316 = -5*f + 4*l. Is 10 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 4*w - 3*x = -6, 3*w + 10 = 5*x. Which is greater: w or -140?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h**2 + 15*h + 13. Let y be p(9). Let t = y - 274. What is the remainder when 4\/5 - t\/(-45) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3816.789 rounded to the nearest integer?\nAnswer: -3817","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3. Let q(y) = 3*y + 3. Calculate -3*k(o) - q(o).\nAnswer: 3*o**3 - 3*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8370199 micrometers to centimeters.\nAnswer: 0.00008370199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence snyn when four letters picked without replacement from {y: 7, n: 3, s: 2}?\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 6*h + 7. Let t be v(-5). Suppose -m + 2*m = t*w - 33, 0 = 3*m + 3. Calculate the greatest common factor of 4 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - -2. Let g = 161\/4 + -40. Let j be ((-3)\/(-2))\/(-9*(-1)\/(-4)). Which is the second smallest value? (a) j (b) v (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -784299, -784203, -784105, -784005?\nAnswer: -783903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-4)\/(-3))*9\/(2565\/(-3040))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-6)*(-2)\/(-160))\/((-15)\/18)\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -255429*z + 5065. Let n be j(-15). Round n to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 400 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/5*-2*195\/2?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 26219.\nAnswer: -26218.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6305117\/480 - -39407\/3. Let n = 1 - 1. Which is smaller: n or r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*w - 11. Is 159\/w - (-2)\/12 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 571273\nAnswer: -114254.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000965885 rounded to six decimal places?\nAnswer: 0.000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1488127\/18 + -82674. Find the common denominator of s and (-1)\/(-15)*57\/(-9).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-6))\/((-392)\/(-12348))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 88694485 by 224543.\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -875*w. Let m(r) = 4812*r. Let o(d) = 22*j(d) + 4*m(d). Let v(g) = 3*g. Let q = 2 - -2. Calculate q*v(x) + 3*o(x).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 69065412 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -2*q + 60. Suppose -7*o - 2 = -q. Solve y + o*b + 6 = 0, y + 3 = b - 2*b for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180095 is divided by 1035.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14980)\/(-460) + (-100)\/((-3500)\/(-1155)).\nAnswer: -10\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q - 2 + 2 + (3 - 1 - 4)*(-2*q + 2 - 2) + 1619*q + 1659*q - 3261*q - 36 to t + v*q and give t.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3291 - 62485\/19. What is the common denominator of y and 109\/114?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/47 or -288?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*116\/(-1 - 1). Let v = -41 + c. Calculate the remainder when 50 is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 131012?\nAnswer: 131013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -424.289856 + -830.\nAnswer: -1254.289856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -186, -1\/18, -3\/2 in ascending order.\nAnswer: -186, -3, -3\/2, -1\/18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-5)*1\/3)\/((-113)\/(-7119))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 6*o = -5*o - 6268, -n = -3*o - 3155. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5618 (base 15) to base 11.\nAnswer: 1278a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 1\/3 (c) 4 (d) 12 (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (0 - 46)\/(-2)*(-7)\/150. Is r greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 + -23. Solve 10 = 2*d - 2*h - 2*h, -m*d = -2*h - 7 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 2\/19, 0.1, 0.17.\nAnswer: -2\/11, 0.1, 2\/19, 0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, y: 3}. Give prob of sequence yy.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 251710908 to the nearest integer?\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 229887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4*s - 18 = 0, 28 = 5*d - 5*s - 17. Calculate the smallest common multiple of 14 and d.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.338 - 18.338. Sort c, 0.03, -17, 2, 1 in descending order.\nAnswer: 2, 1, 0.03, c, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -536248 (base 9) to base 16\nAnswer: -4e014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21735 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 233, -73, 2, -8, 7 in descending order.\nAnswer: 233, 7, 2, -8, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27396874?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 - -13?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {z: 3, r: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14843490.\nAnswer: 2, 3, 5, 494783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + (-4)\/((-48)\/(-1389)). Let m = -82 - g. Let i = m - 33. What is the nearest to i in -0.1, -2\/7, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + (2*3)\/(-3). Let r be 0 - (-1 + f + -2). Suppose -k = -r - 9. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -61*f**6\/30 + 7*f**5\/20 - 1737*f**2 - 6*f - 496. What is the derivative of j(g) wrt g?\nAnswer: -244*g**3 + 21*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*n + 8*p - 3*p, 5*p = 5. Suppose -z = -n*z + 9. Let c(t) = 11*t + 6. Let q(j) = 10*j + 5. Let a(g) = -6*c(g) + 7*q(g). Determine a(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 6*z**2 - 472*z + 1. List the prime factors of q(82).\nAnswer: 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -z**6\/120 + 3*z**3\/2 - 7*z. Let o(w) be the second derivative of x(w). Let i(m) = -3*m. What is i(o(q))?\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 87, 173, 255, 333, 407, 477?\n\"Answer: -2*m**2 + 92*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.2 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -67?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/47, 23.3, -3.73, 0.01 in ascending order.\nAnswer: -3.73, -2\/47, 0.01, 23.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 1703857?\nAnswer: 10223142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 255, 6, -456 in increasing order.\nAnswer: -456, 6, 255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 60 (b) -0.12 (c) 5 (d) -30\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 484956, 484961, 484968, 484977, 484988?\n\"Answer: a**2 + 2*a + 484953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.3 - 3.8. Let d = 6 - 5.92. Which is the smallest value? (a) d (b) l (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-94)\/18 - (-12)\/54. Let r = v + 9. Solve -2*q + r*g + 11 = -5, -18 = -q + 4*g for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28321169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2953860277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nx when two letters picked without replacement from {s: 3, n: 9, k: 2, x: 2}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 0 = 2*n. Let q(k) = 2*k**2 - k + 2. Let f be q(2). Solve -n*w + 20 = -f*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -2*p**5\/5 + 111*p**4 + 334*p + 228. Differentiate t(w) wrt w.\nAnswer: -8*w**3 + 1332*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2 times -88380?\nAnswer: -194436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of b**5\/10 + 5*b**4\/18 + 2*b**3\/9 + b - 149. Suppose j(w) = 0. Calculate w.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 12:42 AM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69256.\nAnswer: 2, 11, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**3 + 194*c + c**2 - 194*c in the form r*c + o*c**2 + q + g*c**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5031 is divided by 32?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -248, -750, -928, -242, 1848?\nAnswer: 5882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 52, -1\/21, 0.12?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 + 112 + 3*h**2 - 2*h**2 - 60386*h**3 + 60390*h**3.\nAnswer: 4*h**3 + 112","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 41 + 94 = 0. Suppose -l = -5*s + 4*u, s - 12 = 2*u + u. Suppose 2*p + 99 = z + 2*z, -99 = -s*z + 3*p. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -62.907 from 747410.\nAnswer: 747472.907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -12. Suppose 3*r - 3*t - 3 = 0, c*t + 6 = 4*r - 2*t. Is r less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1000576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 145 + -139. Suppose -89 - 151 = -o*c. Let x = 28 - c. Let w(k) = k**2 + 11*k - 16. What is w(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**2 - r - 2 + 9*r + 0 - r. What is the remainder when f(-7) is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4144 - 0?\nAnswer: 4144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1137 + -15?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -180*s + 184*s - 844. Solve 0 = s*q - 215*q - 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 4*u - u - 588, 612 = 3*u - 5*l. Suppose -u = -5*w + v + v, 3*v - 111 = -3*w. Let x = w - 19. What is the greatest common factor of x and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g**2 - 4*g + 7. Let m be y(-3). Let x be m\/(-52) + (-160)\/1716. Let s be (-8)\/6*6\/2. Which is the smallest value? (a) 5 (b) 4\/5 (c) x (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/12*1\/4*2. Let p be -1 + ((-184)\/(-96) - 3\/(-36)). Which is the second biggest value? (a) w (b) -5\/6 (c) 2 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2)*h*h\/((h*h*(h*h**(-2\/3))\/h*h*h*h)\/h))**50 assuming h is positive.\nAnswer: h**(-500\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.2 - 37.2. Let r = 38 + t. Let z = -6.6 - 0.4. Which is the nearest to -1? (a) r (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-14141)\/316)\/(3\/4 + -1). Let p = 412 + q. Suppose -4*z + p = -217. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 8*h**2 + 18*h - 11. Let o be r(14). Suppose -40*m + o = -711. Does 63 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 21*f - 59. Let v be n(6). Let o = -27 + v. Let u(m) = -m**3 + 4*m**2 + 5*m. Let l be u(5). Solve l = o*x + x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-10 + 1 + -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 179*r - 8 - 181*r + 10 - 2. Let j(f) = -f**2 - 7*f**2 + f**2. Calculate l(j(y)).\nAnswer: 14*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*0.34\nAnswer: 0.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -5*q - 22*q**2 + 1850 - 1855 + 29*q**2. Let r(u) = -4*u**2 + 3*u + 3. Suppose -3*f - 25 = 2*f. Let c = f + 10. Give c*r(d) + 3*w(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m**3 + 64*m**4 - 10*m - 134*m**4 + 3*m + 63*m**4 - 1 - 4*m**3 as r*m + x*m**4 + u + d*m**2 + p*m**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3915.70684 plus -0.2?\nAnswer: -3915.90684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16579081.\nAnswer: 149, 111269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 10, t: 10}. What is prob of sequence ntt?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 881789?\nAnswer: 839, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 8538002082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -1. Let n = 199 + -198. Let o(j) = j - 3. Calculate n*o(l) - p(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y**2 - 7*y + 3. Let b(v) = 7*v**2 + 171*v + 14. Let h(z) = 2*z**2 + 41*z + 3. Let x(j) = 4*b(j) - 17*h(j). Give 5*c(u) - 3*x(u).\nAnswer: 3*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 4)\/((-4)\/(-6)). Suppose 4*s = z - a*z + 166, s = -z + 40. Suppose 33 + s = 4*l. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.5 - -2.4. What is the closest to a in -9, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27790 - 27771. Solve -5*n = 3*y - 25, 0 = 24*n - k*n + 5*y - 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(44)\/(sqrt(20)\/sqrt(5)) + -2).\nAnswer: -4*sqrt(11) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 1, 3, -32, 5\/8 in increasing order.\nAnswer: -32, 2\/13, 5\/8, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223434857.\nAnswer: 23, 9714559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-84)*10)\/(3180\/2968)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1861 is divided by 458?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + -7306.\nAnswer: -7305.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*v**2 + 5 - 7 + 2 to h*v + q*v**2 + a and give q.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 3*y + 6. Let q be (-1)\/2*(-32)\/(-4). Determine p(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 1710 = 5*c. Suppose -c = -4*r + 79. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143371178 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -7.9 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*z + 15*z - z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -187\/30 + 32\/5. Let v = h - 2\/3. Which is the second smallest value? (a) v (b) 1\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 11*f**2\/4 - 279*f\/8 + 257\/8 = 0.\nAnswer: 1, 257\/22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/28295057 and -71\/23490236.\nAnswer: 1244982508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5191*p**3*w**3 - 3*p**3*w**2 + 7819*p**3 + 244*w**2 + 13757*w wrt w?\nAnswer: -31146*p**3*w - 6*p**3 + 488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 1.2. Let w be (3\/15)\/(12\/20). Let j = 6 - 5.7. Which is the nearest to o? (a) w (b) 2\/3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {t: 13, k: 6}?\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 812 - 0.4209.\nAnswer: 811.5791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**5 - 42 + 42 + 405*i**2 - 25*i**6 - 44*i**6 + 503*i**6 wrt i?\nAnswer: 52080*i**3 - 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 250466 + 14*g**2 - 250466 + 1815*g wrt g?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by (-72)\/(-3) - (1 - -19)\/(-4).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 3586875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + 2*p**2 + 3*p**2)*(-4*p**2 - 3*p**2 + 4*p**2)*((-1 + 0 + 2)*(-13 - 10 + 30) - 3 - 1 + 1).\nAnswer: -72*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-4))\/(3 - 2). Suppose 3*o - 34 = -5*b, 0 = 3*o - o + m*b - 16. Solve 10*r - 5*r = -25, -4*t - o*r - 11 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0427 and -105?\nAnswer: 105.0427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2 - 1 + 1 + r - 3. Let q be 2 + 1 + (-2 - -3). Calculate p(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**4\/15 - 268*v**3\/15 - 704*v**2 - 6720*v = 0.\nAnswer: -60, -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*k - 19*k + o + 8 = 0, -k = -4*o - 43 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6210 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7174 - -4?\nAnswer: -7170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -29776 + 20525?\nAnswer: -9251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 0*o - o. What is the second biggest value in -4, o, 5\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 4:23 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.48 + 0.02. Let f = -0.37 + 0.27. What is the closest to -1 in n, f, 2\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.68 + -0.44. Let u = s + -0.74. What is the second biggest value in u, 5, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1767 is divided by 123?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*d = -923 + 1175 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 40\/(-50) - (-10)\/20*(4 + -2). Factor -d**2 - 4\/5*d**3 - 2\/5*d - m*d**4 + 0.\nAnswer: -d*(d + 1)**2*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9 - 65)*(1 + (-4)\/2). Let o = 80 - z. Suppose h + o = 3*h. Solve -i + 4 = h*s - 0*i, 14 = 3*s - i for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 145*z**2 + 1720. Let p(o) = 12*o**2. Give p(d(w)).\nAnswer: 1009200*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n. Let c(w) = -13261*w**2. Calculate f(c(g)).\nAnswer: -26522*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 36 = v. Suppose n + 2*p = p - 2, 3*p = -v. Suppose -2*o = -0*o + 8. Put o, n, -1 in decreasing order.\nAnswer: n, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 984, 970, 952, 930?\nAnswer: 904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*u**3 - 26057576*u + 1014544224?\nAnswer: 9*u**2 - 26057576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -546 + 811. Let d be (-16)\/(-3)*(-7 + 19). Let a = h - d. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*a = 40, -4*q - 4*a + 11 = 35. Calculate the lowest common multiple of (44\/q)\/(8\/(-40)) and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 731132013.\nAnswer: 3, 2857, 85303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -107 + 108. Suppose 3*o + 3*i + 3 = 0, 4*o - y - 1 = -i. Let j be (-102)\/17 + 3\/o. Sort j, 5, -2, 10 in descending order.\nAnswer: 10, 5, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -y + 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9724 by 5.\nAnswer: -9724\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*i**2\/2 - 121446429*i\/2 - 24289287.\nAnswer: 3*(i - 8096429)*(5*i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/(-6))\/(3\/(-4)). Let r(m) = -m - 2. Let k be r(u). Factor z**2 + 6*z + 4*z**2 + 4*z**2 + k*z**2 - 3.\nAnswer: 3*(z + 1)*(3*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 11713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 7*l + 18 = 0. Let c be 675\/980 + l\/8. Let z = c - -137\/637. Which is greater: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6872162 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w - 3. Let j(c) = -43*c**2 + 6*c - 12. Let m(v) = -3050*v**2 + 425*v - 850. Let u(l) = 425*j(l) - 6*m(l). Determine t(u(g)).\nAnswer: -25*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 36, 70, 100, 126, 148?\n\"Answer: -2*d**2 + 40*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3318.6 - 3319. Which is the nearest to 4? (a) -16 (b) s (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6289 + -6293. Let l(q) = -q**2 - 6*q + 5. Let z(x) = 4*x**2 + 25*x - 21. Let d(u) = -9*l(u) - 2*z(u). Determine d(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 78150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-4)*8\/12. Let o be (146 - (17 + 81)) + (1 - 1*-7). Put o, 2, j in descending order.\nAnswer: o, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*u - g, -7*u = -2*u + 4*g - 37. What is the highest common divisor of 9 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76 + 76 - 133*d**3.\nAnswer: -133*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of 13*t**3\/6 + t. Let u(d) be the first derivative of 0*d + 2\/3*d**3 + 28 + 0*d**2. Calculate u(f(m)).\nAnswer: 338*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -2, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1941.353 + 3.02644.\nAnswer: -1938.32656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 3*o = -1243, -1880 = 4*t + 4*o - 632. Let h = t - -341. Which is smaller: h or 35?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123325430 to the power of 1\/2, to the nearest integer?\nAnswer: 11105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 6*g**2 + g - 4. Let a be w(-6). Let z = -6 - a. Let q be (10000\/6)\/(z\/168). Round q to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8.7, 0.29, -70, -2\/3, -3?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -226477, -226496, -226527, -226570, -226625, -226692?\n\"Answer: -6*k**2 - k - 226470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 770848.2 millennia?\nAnswer: 9250178400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2542660 is divided by 36?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from kkkkxkkgxxmxmxkxxx?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 15*u - 30. Let y(k) = k**3 - k**2 - 3*k - 5. Let x be y(3). Suppose 47 - 17 = 5*z. What is the remainder when t(x) is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 98 + -108. Let u = 0 + 0. Put q, u, 0.4 in ascending order.\nAnswer: q, u, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**5\/7 + 3*g**4\/7 - 2*g**3\/7.\nAnswer: -g**3*(g - 2)*(g - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5091 and 14.\nAnswer: 71274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3\/8 + -17\/24. Let s = -2 + 5. Which is the second biggest value? (a) -0.4 (b) s (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14586044 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 356 + -2625?\nAnswer: -2236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o. Let a(n) = 11*n**2 - 929643*n + 7. What is g(a(m))?\nAnswer: -22*m**2 + 1859286*m - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.03 + 3.43. Let j = 3 - i. Let k = 0.6 - j. Which is the biggest value? (a) k (b) -0.2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 704006 = -5*a + 3*l, l + 563198 = 156*a - 160*a. What is a rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(242) + -3) - sqrt(242)) + sqrt(242))**2 + (-4*3*sqrt(242) - sqrt(242)) - (0 + 4*1*sqrt(242)*-1).\nAnswer: -1749*sqrt(2) + 6275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.3594 - 2.34. Round o to three decimal places.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 8*x - 46. Let z(d) = -6*d - 66. Let i be z(-13). Let r be m(i). Solve -4*o + 4*t + 0*t = 4, r*o = -2*t - 10 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2*-2 - 885\/45 and -54\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -47916, -47927, -47938, -47949?\n\"Answer: -11*x - 47905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -168 divided by -3?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5.62622 and 42.40762.\nAnswer: 36.7814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111030 - -11320212?\nAnswer: 11203122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31 and 279.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-426)\/120 - 24\/(-60)*2. Let p = 4726\/33 - 428\/3. Put 0.1, j, -4, p in descending order.\nAnswer: p, 0.1, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56282208 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5169 and 3453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**3 + 21*x**2 - 92*x + 819. Calculate f(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -111435 divided by -1173?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2 - 49*d - 144. Let f be c(-21). Let m(g) be the first derivative of 7\/9*g**2 - 2\/45*g**5 - 4\/9*g - f - 2\/3*g**3 + 5\/18*g**4. Factor m(y).\nAnswer: -2*(y - 2)*(y - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12791 is divided by 206.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -245 (base 11) in base 6?\nAnswer: -1203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 828992471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 433871524?\nAnswer: 2, 863, 125687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(21\/(-2)) - (-208)\/(-91)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 25 (b) 5 (c) -1\/710\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 22\/6 + 2 - 2. Suppose -47 = 2*v + 2*r + 21, -5*v - 168 = 3*r. Let l be (-6)\/v + 27\/33. Do l and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23 or -22244\/993?\nAnswer: -22244\/993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1991545489 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 6*v**2 - 4*v. Let h = 15 - 30. Let i = h + 19. Suppose -5*d - 30 = -5*p, -p + i = d - 0*d. Determine m(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185101555.\nAnswer: 5, 499, 74189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-1 + 1 - (-8 - -9)) + -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -378, -374, -370?\n\"Answer: 4*w - 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 11:12 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 156173 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 0.036 (c) 3 (d) -3 (e) 1\/2 (f) -2 (g) 2543\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 8*o + 31. Let w be 12\/3 + 20 + -4. Suppose -3*x = a - 31 - 3, -w = -x + 4*a. What is the remainder when f(-6) is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4383 + 4388 = -q - 2*y, 4*q + 2*y = 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 562358?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/2))**(-1\/21)\/(f*f**(-10))**(-30) assuming f is positive.\nAnswer: f**(-3781\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(4\/(-12)*3) - 0. Let n be (-2 - (-5 - -55)) + y. Find the common denominator of -23\/6 and n\/108*(-6 - (-7 - -4)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4*k. Let d(p) be the second derivative of -p**4\/12 + 8*p. Determine d(l(f)).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 88013 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 314625 divided by 62925\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 224\/(-16)*(-1)\/(14\/(-12))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 10623 + 16611 = 3*q, -4*c = 5*q - 45390. What are the prime factors of q?\nAnswer: 2, 3, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*p**2 - 16625*p + 4155 = 0. Calculate p.\nAnswer: 1\/4, 831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - ((-4)\/(-2) - 5). Let o be 10\/(-5)*2 - -2. Let u = r + o. What is the remainder when 5 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 49, 4.\nAnswer: -4, 4, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 212011110220 (base 3) to base 12\nAnswer: 19ba59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/15 (b) 4 (c) 2 (d) -2\/7 (e) 4063\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3 + 2*x + 3 + x**2 + 7*x**2 - x**2. Let u(h) be the second derivative of h**4\/2 + h**3\/3 + 5*h**2\/2 + 27*h. Determine -4*s(p) + 5*u(p).\nAnswer: 2*p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -4539, 2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.4 (c) -1 (d) 0 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -11*y**2 + 6*y - 4. Let t(q) = 22*q**2 - 14*q + 9. Let i(u) = -7*c(u) - 3*t(u). Let s(m) = -m**2. Determine -i(f) - 5*s(f).\nAnswer: -6*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -17 and -3909.325.\nAnswer: -3926.325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 45\/8 of a century?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -4*s**3 + 331308*s**2 - 662600*s = 0.\nAnswer: 0, 2, 82825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 136427, 136424, 136421, 136418?\n\"Answer: -3*d + 136430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 6 = 2*f - p, 3 = -3*f - 2*p. Let w = 146 - 144. Let g(o) = 4*o**2 + w + 2 - 688*o**3 + 3*o + 689*o**3. Calculate g(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 903*q + 40988 - 241933 = -1155*q - 3377 for q.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8904062989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10313797 to the nearest integer?\nAnswer: 3212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 6 + -14 - -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3.3, 5, 2, 0, 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.171 from 3590.7948.\nAnswer: 3590.6238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p**3\/9 - 7042*p**2\/9 + 12446588*p\/9 - 172874744\/9 = 0. What is p?\nAnswer: 14, 3514","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 560\/35387?\nAnswer: 560\/35387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 4:00 PM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2\/104*(96\/10 - (-2824)\/(-1765))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.05 - 0.25. What is the closest to 0.1 in 0, o, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4640*-0.84\nAnswer: 3897.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -532*u = -232*u - 5700 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27485131?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 1.4. Suppose -8 + 1 = -l. Suppose 6*c + l = -5. Put a, c, -4 in increasing order.\nAnswer: -4, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(-38 + 13 + 19)*(0*z + 3*z + 0*z).\nAnswer: -18*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-139*x - 86*x + 51*x)*(-4*x + 2*x - 3*x + (-1 - 1 + 1)*(-2 + 2 - 2*x)).\nAnswer: 522*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3232 (base 5) in base 7?\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -0.4 (c) 3 (d) 1 (e) 0.18 (f) 1836\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*i = -0*i - 28, -2*i = 2*t + 22. Let y(h) = -3*h**2 - 3*h**2 + h**2 + 4*h**2 + 5 - 6*h. Let z be y(t). Solve 0*k - z*k = 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39460000 to the nearest 1000000.\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -3 (c) -0.5 (d) 0.03 (e) -3.1 (f) 0.2 (g) 82.19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i - 12 = 12. Suppose 16 = -6*l + 34. Let h(a) = a**3 - a**2 - 4*a - 9. Let x be h(l). Is x bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s - 8 - 5*s**2 - 2 + 15*s - 3*s.\nAnswer: -5*(s - 2)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ksmllzzmt. What is prob of sequence ltz?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 (base 8) in base 2?\nAnswer: 1010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -192*x**4 - 8*x**2 + 193*x**4 + 2*x**2 + (-5*x**4 + 4*x**4 + 3*x**4)*(-6 + 7 + 3) in the form c + f*x**3 + r*x + a*x**2 + z*x**4 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 422 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-2\/9))**(-28\/9)*h**(-1)*h**(1\/3)*(h**(-1\/3)\/h)**(-4\/23)*(h*h**1*h*h)**0 assuming h is positive.\nAnswer: h**(-7894\/1863)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -270*x**2 - 739*x + 2. Determine a(-3).\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = h - 11. Let t = h - 11. Solve -t*d = 2*k + 8, -2*k = -5*k - 2*d - 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 585520 and 130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39917069*m**2 + 30024582*m wrt m?\nAnswer: -79834138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5582 is divided by 2750?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 + -73. Let r = t + 38. Suppose -r*m = -475 - 40. Is m a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2*sqrt(70) + sqrt(70) - sqrt(70) - sqrt(70))*4*1)\/(sqrt(10) + (sqrt(20)\/sqrt(2)*-3 - sqrt(10)) + sqrt(1210) + sqrt(1210)*-1 + sqrt(1210)).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13944317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-60)*-6*10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.88 - 0.62. What is k rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8*(120\/(-32) + 11) and 290?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.63509l to millilitres.\nAnswer: 69635.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -573*p - 28. Let o(c) = -3*c**2 + 21*c. Determine o(n(k)).\nAnswer: -984987*k**2 - 108297*k - 2940","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 + -28 - (-65 - -4).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = r + 198, 4*u - 3*r - 155 - 245 = 0. Does 7 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 - -49. Let b(v) = 11 - 8*v + g*v + 20. List the prime factors of b(13).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5477872.\nAnswer: 2, 173, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.4, 0.3, -317, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2631671, -5263364, -7895055, -10526744, -13158431, -15790116?\n\"Answer: u**2 - 2631696*u + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of 1\/6*f**3 + 1\/6*f**4 - 1\/2*f**2 + 6*f + 0. Let a be (2 - 1)*(0 + -2). Calculate x(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 29*p**3 + p**2 - p + 1. Let n = -7 + 8. Calculate the remainder when v(n) is divided by (1 - (2 + 0)) + 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 781194855 to the power of 1\/2, to the nearest integer?\nAnswer: 27950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1980093636.\nAnswer: 2, 3, 107, 331, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 230 and 1119525?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -0*o - 5*m - 357, -2*o = 2*m - 238. Calculate the remainder when 13*3\/3 - -1 is divided by 4*(2\/(-12) - o\/(-84)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-228)\/855)\/(42\/(-9))?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (16\/6)\/(8 - 69\/9). Let q(v) = -v**2 + 10*v + 5. What is q(d)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193322077?\nAnswer: 13, 37, 401917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 6*t**2 + 4*t**2 + 17 - 5*t + t. Let d be g(-6). Solve 2*n - 2 = 2*h - 8, 12 = -d*n + 4*h for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 2 + 4*r + 0 + 4. Let l be b(5). Let h = 5 + l. Solve 1 = 3*j + 2*i, -3*j - h*i - 2*i + 5 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-2) - (-5 + (-6132)\/(-16)). Let x = -378 - j. Factor -1\/2 + x*p - 3\/4*p**3 + 1\/4*p**4 + 1\/4*p**2.\nAnswer: (p - 2)*(p - 1)**2*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4*t = -0*t + 76, -4*r = 3*t - 48. Calculate the greatest common factor of 5 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 6*d**2 + 2*d - 3. Let l be i(6). Let n = l + -5. Solve -u = -n + 9 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -7. Let i = c - -11. Let b = 23 - i. List the prime factors of b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s - 42*s - 6 + 4 - 2.\nAnswer: -36*s - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -1, -1102 in increasing order.\nAnswer: -1102, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -394 + 5?\nAnswer: -38e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-94)\/(-18) + 2\/(-9). Solve 24 = 3*p + 4*r + 4, -v*r + 25 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + -2*(-3 + -9). Which is smaller: j or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/5 (b) 4.694776 (c) 0.2 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, h: 5, n: 3, s: 3, p: 1, w: 1}. Give prob of picking 1 h and 1 n.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*r**3*u**2 - 574*r**2*u**2 + 3*r**2*u + 9*r*u - 4*r - 21*u**2 wrt r?\nAnswer: 12*r*u**2 - 1148*u**2 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 5*x + 5. Let f be ((-2)\/3)\/(2\/15). What are the prime factors of g(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-22)\/(-99)*(-3)\/(-2). Let t = -1.405 + 0.805. Which is the second biggest value? (a) j (b) 0.05 (c) -4 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r - 5. Let u(x) = 5 - 5 + x. Let k(p) = m(p) - 2*u(p). List the prime factors of k(-5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(39) - sqrt(39))\/sqrt(3) + (sqrt(13) - (sqrt(78)\/sqrt(96) + sqrt(13))))*5)**2 + 4*(-5 + (sqrt(13)*1 + sqrt(13))**2*1)*-6.\nAnswer: 8277\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - n + n)*(-7 + 6 - 11)*(3 - 3 - 9).\nAnswer: -216*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/17))**(-9\/4)\/((h\/(h\/h**(6\/23)))\/h*h*h**14) assuming h is positive.\nAnswer: h**(-11359\/782)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 66. Suppose f = -5*d + 393. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-4) - -1)\/(60\/120)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 2443133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-6))\/((-2)\/(-15)). Suppose o = 4*u - 54, n*u = 2*o + 24 + 45. Suppose g - 5*g + 3*g**3 + 14*g**2 - u*g**3 = 0. Calculate g.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8615 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.2 - -8. Let b = -0.5 - f. Which is bigger: -2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1068.2 (b) -5 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, -0.03, -1\/15, 97, 0 in increasing order.\nAnswer: -6, -1\/15, -0.03, 0, 4, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2302 + 8*u + 2258 - 4*u)*(1 + 3*u - 1).\nAnswer: 12*u**2 - 132*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {k: 2, l: 6}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w**3 - 25*w**2 - 21*w - 14. Give b(8).\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3042161.\nAnswer: 3042161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 1 - 2)*(0 + 3 - 1)*(-19*c**4 + 1116*c + 16*c**4 + 36*c + c**2) as q + y*c**2 + b*c**3 + i*c**4 + o*c and give o.\nAnswer: 4608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9*4\/(-12)*-3*3. Suppose -3*r + f = -21. Suppose 0 = -0*p + p - 24. What is the greatest common divisor of p and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.93 - 16?\nAnswer: -17.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, a: 10, u: 4}. What is prob of picking 2 y and 2 a?\nAnswer: 75\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 10072 - 3112. Let f be l\/6*450\/20. What is f rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-18)\/(-6))\/((-3)\/(-2)). Let x be p + 1*45 + -2. What is the highest common factor of 30 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 8 = 3*h, 4*f - 11 = -2*h + 13. Suppose -3*b + 10 = -b + 2*n, h*b - 25 = -5*n. Suppose 0 = x - w - 2154, -6*w + 4*w - 10 = b. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 120 + -69. Suppose h = 7*n - 390. List the prime factors of n.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3053214 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 754924915 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 978269?\nAnswer: 978269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k - 220 = -180 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1663 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 5, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - a - 9, 0 = 2*q - 230*a + 233*a + 13 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -2*q + 6533, 3*q = 5*y + 13744 - 3973. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*1\/(-10)*120. What is the units digit of (y + 1 - 0) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -113 - 80. Let o = -141 - q. Calculate the remainder when 155 is divided by o.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 552 - 182. Suppose 2*n = -8*n + a. What is the remainder when 61 is divided by n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -84*r**2 + 25*r**2 + 12*r**4 - 12*r**3 + 23*r**2 + 3 + 6*r + 27*r**2.\nAnswer: 3*(r - 1)**2*(2*r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*b - 218 = 0, 908 = -4*j - 0*j - 2*b. Round j to the nearest ten.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -255 + 398. What is the least common multiple of 44 and x?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-144)\/(-28) - (-4)\/(-28). Suppose 30259209 = 3*t - y*g + 11959209, 4*t - 24400000 = 2*g. Round t to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.2284 - 1.224169. What is v rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k + 9. Let f be n(7). Suppose 5*p - 4*p + 2*o = 16, -f*o + 8 = 0. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 10:27 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.0286627 to four decimal places.\nAnswer: 19.0287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/55 and 53\/208635.\nAnswer: 2294985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -8 (b) 2 (c) -2\/5 (d) -7 (e) -15\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*a + 126*a - 158 = 252*a - 26*g, -2*a + g = 19 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o**2 - 10*o - 4. Let w(p) = -2*p**2 + 9*p + 4. Let g(r) = -4*u(r) - 5*w(r). Let a be (-1)\/(((-5)\/3)\/(-5)). Give g(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 3*t. Let q(m) = -1652*m**2 + 15*m. Calculate -q(c) - 6*s(c).\nAnswer: 1646*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 4*t - 7. Suppose 0 = -3*n + 7 + 2. Suppose -w - n*l - 7 = -0, -3*l = -3*w + 27. Calculate a(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 3*z + 2*z)*(3 - 2*z - 3 + (-2 + 3 + 0)*(z + z - z) - 3*z + 3*z - 2*z).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1669223 greater than -1669230?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x - 2*x - 4*f, 30 = 5*x - 5*f for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**2\/2 - 9308*m + 33302144 = 0 for m.\nAnswer: 4832, 13784","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-10)*228*(-5)\/(-30)?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 21\/8 of a kilometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-65) - 2619\/1053*-12.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (225\/39 + -3)\/(668\/4342).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - ((1 + -4 - -3) + -5)) + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 79, 183, 273, 343, 387?\n\"Answer: -n**3 - n**2 + 114*n - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -881*-7.\nAnswer: 6167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 2*l + 2. Let b be m(3). Let x be b + -1 + 1 + 1. Suppose x = c + 1, 2*c - 6*c - 34 = -5*k. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 29*d**2 + 59*d - 30. Determine y(27).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 912856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.208? (a) 2\/7 (b) -8 (c) 5 (d) 0.02 (e) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 315, -4, 2\/17, -0.06?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13596599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -49 + abc6?\nAnswer: ab7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m - 1. Let h(l) = 17*l - 2. Give -h(v) + 2*p(v).\nAnswer: -15*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -185 + 234. Let j = n - 48. Sort -0.2, -2\/7, j in ascending order.\nAnswer: -2\/7, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -107 - -106.32. What is x rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5615 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-4)\/k*k*k\/(k\/((k*k**(-10)\/k*k)\/k))*k**(2\/9)*k**6 assuming k is positive.\nAnswer: k**(-70\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 17120588.47 to the nearest 100000.\nAnswer: 17100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -51, -41, -21, 15, 73, 159, 279, 439?\n\"Answer: v**3 - v**2 + 6*v - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -6\/1235645?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 514761475 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/3)\/(22\/(-44)). Suppose 0 = -a - 2, -3*n + 23 = -m*a - 2*a. Let p = 3 + -3.2. Put p, -5, n, -2 in decreasing order.\nAnswer: n, p, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 2615 - 27613 = 0. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101100 (base 2) in base 16?\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 19260585*k**3 - 33.\nAnswer: -19260585*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**3 + 88940*h**2 - 988968306*h + 3954450312 = 0.\nAnswer: 4, 22233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j - 1. Let s(r) = -4. Let y(f) = 9*f + 104. Let c be y(-11). Suppose 0 = 8*l - c - 3. Calculate l*s(t) - 6*n(t).\nAnswer: 6*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p + 14. Let d be q(-5). Let f(o) = -4*o + 16*o - 4 + 4*o. Let l be f(3). What is the greatest common factor of d and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 834116712 to the nearest integer?\nAnswer: 28881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 0*i + 3*i)*((2 - 1 - 2)*(1 + 0 - 3) + 35 + 27 + 17).\nAnswer: 162*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.026 and 3.\nAnswer: -0.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 9*f + 1. Let a be q(4). Let x be (a + 1)*(-12)\/(-8). Let y be 1\/(((-3)\/1)\/x). Solve 0*j - y = 3*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**3 + 114*n**2 + 18*n + 321. List the prime factors of z(54).\nAnswer: 3, 6263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19447697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37266*s**3 + 21*s**2 + 855 wrt s.\nAnswer: 223596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26665225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.239 - -0.761. Let x = 14855\/9 + -1651. What is the closest to 3\/4 in 3, k, x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 815023691?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -21633533462 from -23519.\nAnswer: 21633509943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 19 = 20*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -15.4.\nAnswer: -3.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141587 is divided by 585?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -23 - (-18 - (-48 - -28 - 6)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -320892 - -7.\nAnswer: -320885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 minus 0.157?\nAnswer: -69.157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -171006.597 to the nearest one hundred.\nAnswer: -171000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -99\/52808?\nAnswer: -99\/52808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/57101 and -169\/40194?\nAnswer: 7194726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1462255 and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x**3 + 15*x**2 + 13*x - 13. Let m(p) = 2 + 4 + 3*p + 0 - 2*p**3 - 9*p - 7*p**2. Let j = 5111 + -5105. What is j*a(g) + 13*m(g)?\nAnswer: -2*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*x - 662 - 193. Calculate the highest common divisor of 19 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**3\/5 + 12590*x**2 + 188868*x\/5 = 0. Calculate x.\nAnswer: -3, 0, 31478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 18. Solve -q = -3*w - 5, z*w + 3*w + 3*q = 15 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12.84*0.5\nAnswer: -6.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3479 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 391700 < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 189967?\nAnswer: 189967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 223226 and 62379.\nAnswer: 58261986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2.88866 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -9*b - 345. Calculate the remainder when t(-42) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h**3 - 15*h**2 + 4*h - 10. Let x(m) = 5*m**3 - 16*m**2 + 2*m - 11. Let u(j) = -3*t(j) + 2*x(j). Determine u(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c**3*w + 731*c**2*w + 277*c**2 + 29*w - 56945 wrt c?\nAnswer: -6*c**2*w + 1462*c*w + 554*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 43*a**2 + 2*a - 258*a**3 + 44*a**2 - 302*a**3 - 3 as j + h*a + v*a**3 + o*a**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 23*r**2 + 4*r + 0 + 27*r**2 + 3 - 49*r**2 + 5. What is s(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 0*a - 2*a + 3*a + 0 - 1. Let h be o(4). Suppose h*d = -d + 16. Solve w - 4*g = -8, d*w + 5*g = 3*w + 10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16501 + -9424. What are the prime factors of f?\nAnswer: 3, 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 9600a?\nAnswer: 96010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/185)\/((-25)\/(750\/36))*2?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 7. Find the common denominator of h\/(-8) - (-382)\/24 and 25\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -154*r - 167 + 180 + 509*r + 376*r + 384 wrt r.\nAnswer: 731","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 2*h - 9 - 2, m + 4*h + 13 = 0. Solve -4*c - 31 = -0*c + 3*q, 0 = 2*c - q + m for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-329)\/(-1974))\/(22\/(-12)*-2)\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/15)\/((224\/(-63))\/(-4))*181\/(-362)\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000013958 to seven decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.152 - -0.552. Let c = -17\/3 + 5. What is the second biggest value in c, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 28, -4, 176, 0.55, -6.\nAnswer: -6, -4, -1\/5, 0.55, 28, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 9*w + 8. Let y be v(8). Let z be -2 - (y - 11) - -2. Calculate the greatest common divisor of z and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - 19. Let g(s) = s**2 - 6*s - 240. Let n be g(-13). Which is the smallest value? (a) -2 (b) -0.5 (c) y (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 0*z - 5\/2*z**4 - 17 + 0*z**2 - 1\/3*z**3. What is q(1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49532 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/1096 (b) 1 (c) -1\/4 (d) -0.3 (e) -6 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -461.3 + -964?\nAnswer: -1425.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52*r**2 + 13 - 159*r**2 - 22 + 9 - 4*r to s*r**2 + j + g*r and give s.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 3*n + 8. Let a be y(0). Let z(u) = 3 - 7*u + 6 + 15*u + u**2. Let q be z(-6). Sort a, -1, q in ascending order.\nAnswer: q, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 298.8042.\nAnswer: 293.8042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3101039 (base 10) in base 4?\nAnswer: 23311011233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 + -41444?\nAnswer: -42013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-12))\/((-28)\/(45472\/174))?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9172 - 5?\nAnswer: -9177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6917\/15 - -461. Sort 4, n, 2.4 in ascending order.\nAnswer: n, 2.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/150)\/(21\/210)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70023, 141923, 213819, 285711, 357599, 429483?\nAnswer: 501363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*g - 13. Let p(o) = -o + 6. Let z(y) = 2*y - 5. Let c be z(5). Let a be p(c). What is the nearest to 3 in a, g, -0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18645 + 18645.1. Let b = -0.26 + 0.3. What is the closest to a in 1, b, 0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/7 + 29\/(1827\/(-46656)). Let m = p - -753. Solve 9*v = m*v - 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, a: 15}. Give prob of picking 4 q.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 211\/20 - 91\/4. What is the common denominator of 53\/16 and x?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/2*(-826)\/(-177)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -109*v + 100 + 336 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14619 times -10.467?\nAnswer: 153017.073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 12*b**2 + b. Let m be r(1). Suppose 3*w - 17 = m. Calculate the highest common divisor of w and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9994a (base 15) to base 9.\nAnswer: -823477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 g when two letters picked without replacement from {i: 7, g: 2, y: 3}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wu when two letters picked without replacement from {p: 2, f: 5, n: 1, u: 1, w: 7, i: 1}?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -59 bigger than -57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - b - 3)*(-1 + 1 - 4*b) + 2*b**2 + b**2 - 5*b**2 - 5*b - 3*b**2 + 5*b - 906*b**2 + b + 0*b + 905*b**2.\nAnswer: -2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8747, 8748, 8749, 8750?\nAnswer: 8751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * 126.5879.\nAnswer: -2.531758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 2*b**2 + 2*b - 7. Let v be k(-4). Suppose 4*c = v + 7. What is the greatest common factor of 6 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 369744.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.4, -0.56, 1, -0.21?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136 + 257 = 29*z + l, -3*z = -3*l + 3 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6339 + -4409. List the prime factors of t.\nAnswer: 2, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**4\/15 + 209006*v**3\/15 + 153284*v**2 + 1672248*v\/5 - 2508336\/5 = 0.\nAnswer: -6, 1, 104514","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/195 + 76\/195. Let i = 3.9 + -1.9. What is the nearest to -3 in -0.2, f, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + 0)\/((-357)\/14). Let w = 10.061 - 0.061. Which is bigger: w or c?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 146.01 and 0.1.\nAnswer: 14.601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0175692654 to six decimal places.\nAnswer: 0.017569","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 812451*m**4 + 4*m**2 - 50*m - 457 wrt m.\nAnswer: 19498824*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -19. Suppose -2*z + 6 = -z + 3*l, 4*z - 4*l - 24 = y. Solve u + z = 3*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 5:14 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13360949, 26721896, 40082843, 53443790, 66804737?\n\"Answer: 13360947*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*m - 13*m = -11*m + 279300. Is 41 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7481*d = -7482*d + 4. Let k(t) be the second derivative of -1\/4*t**5 + 0 - 5\/2*t**2 + 0*t**d - 4*t + 0*t**3. Find the first derivative of k(s) wrt s.\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-4)*n*n\/((n\/(n\/((n\/(n\/n**(1\/6)))\/n)))\/n)*(((n\/(n**(2\/7)*n*n))\/n)\/n)\/n**(1\/2))\/((n*(n\/n**(-2\/7))\/n)**(1\/3))**(5\/2) assuming n is positive.\nAnswer: n**(-169\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2903 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1791 = 7*a - 18943. What are the prime factors of a?\nAnswer: 2, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w - 4. Let n(z) = 6*z - 13. What is 8*b(d) - 3*n(d)?\nAnswer: -2*d + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 11:41 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4\/3, 161, -6, 3, -73\/6?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*4 + (751 - (-6)\/(-6)). Suppose s - 177 - i = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of 1\/6*o**5 - 19\/6*o**3 + 0*o**4 - 13*o**2 + 0 + 0*o. Differentiate k(m) with respect to m.\nAnswer: 20*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -78730 at least -78759?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123763058?\nAnswer: 2, 61881529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 135 and 5041332?\nAnswer: 25206660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5179 + -4417. Which is greater: 0.1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -687*r*t**3 - r*u**2 - r*u - 17*r - 2*t**3*u**2 wrt t.\nAnswer: -2061*r*t**2 - 6*t**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4092 divide 43418977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00824235882 to 6 dps.\nAnswer: -0.008242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -113 + 74411?\nAnswer: 742a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 3\/2758 - 2166\/89635. Which is greater: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 2 + 3 - 5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - -3*(-2)\/(-2). Suppose -2*q + 2 = j, -2*c + 3 = 4*q - 11. What is the remainder when 8 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 x when three letters picked without replacement from jpxfbipppifpjifppipb?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, t: 7}. What is prob of picking 1 t and 2 k?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 32 = 5676*n - 5670*n + 15, 0 = -20*m - 3*n + 79 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -378 = 31*s + s - 18*s for s.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*v - 1. Suppose 9*h = v*h + 20. Let n be (4\/10)\/(h\/40). Solve -5*i = n*t - 6, 13 = i + 3*t + 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 27\/5 of a microsecond?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -3*t**5 - 11*t**4\/2 + 3*t**2 - t - 13. Solve b(w) = 0.\nAnswer: -1, 1\/5, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eleven quarters of a millennium?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) -3 (b) -0.4 (c) -2\/3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 4*s = 13 + 9, 5*g - 5*s = -10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 293*c*w**4 + 6*c - 3*w**4 + 15 wrt w.\nAnswer: 1172*c*w**3 - 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.8361356 plus -0.0777?\nAnswer: -13.9138356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-1 - -6)*1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h + 10*h - 10*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - i - 7 = 0, 3*i + 0 + 3 = 0. Suppose -6*a + 1209 = -j*a. Suppose 157 = 5*s - a. Is s a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1574 + -0.5116. Let p = -0.07 - 0.63. Let d = p - f. Round d to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0499 centuries to decades.\nAnswer: 0.499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = j - 25. Calculate the remainder when 109 is divided by j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 6:03 AM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 6:03 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g + 6 + g**2 - 2*g**2 - 4*g - g. Let s be h(-3). Let y be 3*s*4\/(-18). Sort y, 3, 12 in increasing order.\nAnswer: y, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4803 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -23317000 rounded to the nearest one million?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8823204 by 221.\nAnswer: 39924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.231 + -51.469. Let d = j - -52. Let l = -2.59 + 1.29. Which is the nearest to 0? (a) d (b) 2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = t + 2*o - 5*o, 4*t - o = 3. Let s be 1 + ((-48)\/80)\/(t\/(-5)). Solve -s*q + 21 = 1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 4*f**2 - 4*f + 3. Let y be j(2). Suppose 5*w = -y*o + 147, -6*w + 149 = -w + o. What are the prime factors of w?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297625020 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z - 4. Let l be b(3). Let h(m) = m - 12. What is h(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 293 + 0*f + 6*f + 390 + 5*f + 0*f - 3*f + (-f - 4 + 4)*(0 + 2 - 4) + 0*f + 3*f - 4*f + 0*f + 0*f + 2*f.\nAnswer: 11*f + 683","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1148*g**6 - 50*g**2 - 5*g wrt g?\nAnswer: 137760*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = k - 7, 0 = -2*f + 5*k - k + 26. Suppose -29 = -h + f*v, -117 = -3*h - v + 4*v. Let w = -161 + 184. What is the remainder when h is divided by w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 339*m + 29502. What is j(-87)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -104320 (base 10) in base 6?\nAnswer: -2122544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -238*l*p**3 + 467*l*p**2 + 3*p**3 wrt p.\nAnswer: -1428*l + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18117196771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zuuuzuzzzz. What is prob of sequence uzz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**4 + 3*s**4 - 13*s**4 + 456*s**4 + 25208*s - 25208*s + (-1 + 2*s + 1)*(2*s**3 + 2 - 2).\nAnswer: 454*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 2. Let l(g) = 2*g - 13. Let d be l(7). Suppose -n - d = -3. Solve -w - y = -n*w, c = w - 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 18*c**2 + 5*c - 7. Let y be w(3). Suppose -49 - y = -3*n. Let i(r) = 6*r + 3. What is the remainder when n is divided by i(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 855 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (405\/45)\/(9\/(-36) - 1\/12)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 3:01 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5026, -3910, -2782, -1636, -466, 734, 1970?\nAnswer: 3248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002249323 to five dps.\nAnswer: -0.00225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/1368800 and -61\/15.\nAnswer: 4106400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 12:54 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - y + 4 = 0. Let v = 27 + -23. Suppose -y = -2*s + v. Is s even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -49260 greater than or equal to -49331?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 5*-3*sqrt(72)*-5*5 + 0)*-4*1)**2.\nAnswer: 162000000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-126 - -140) + -17 + 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10525 - -1?\nAnswer: 10530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 3398\/9015?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v + 12 = 6*v, -10 = -2*o + 2*v. Factor 14\/5*y**3 + 2\/5*y**4 + 16\/5*y**o + 0 - 32\/5*y.\nAnswer: 2*y*(y - 1)*(y + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 7. Suppose s = 2*t - 5*t + 84. Suppose 6*h - t = 2*h - 4*j, 4*h = 3*j + 63. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 7280 = 4*r, 3*s + 5*r + 1790 = 4*s. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 4*n - n)*(5*n + 0*n - 3*n) + 12*n**2 - 8*n**2 + 2*n**2.\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3130 - 130?\nAnswer: 3000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 755 is divided by 258.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0144 in 1\/4, -5, 0.3, -157?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3988321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 7:53 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -0.02 (c) -1 (d) -0.2 (e) -2\/29\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106845 is divided by 17351?\nAnswer: 2739","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i\/(i*i*(i**(3\/11)*i)\/i)*i)\/i)*i\/(i**(-9)*i))\/(i**(2\/3)\/((i\/(i**(-2)*i))\/i*i)) assuming i is positive.\nAnswer: i**(416\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2*f - 81, 4*l - 3*l + 167 = 4*f. Suppose 2*h = -f + 193. Let z(x) = 4*x**3 + 25*x**2 - 71*x - 136. Let v be z(-2). Is v > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 362572*m**3*y**3 - 8*m**3 + 6081124*m**2 - 436*m*y + 2 wrt y.\nAnswer: 1087716*m**3*y**2 - 436*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 863551, 863552, 863553, 863554, 863555, 863556?\n\"Answer: o + 863550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k + 1. Let o be d(-5). Suppose -2*w = w - o. Is ((-89)\/w)\/(11\/(-22)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 4*i**2 + 5*i + 1. Let w(q) = -q**3 - q**2. Let u be w(-2). What is the remainder when 3\/(-1 + (u - 2)) is divided by p(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y. Let o be t(-2). Let d = 0.05 - 0.01. Let w = d + -0.44. What is the biggest value in w, o, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 69*y**2 + 13752*y + 4169. Determine j(-199).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**2 - 5*p**4 + 5*p**4 + 0*p**3 - p**3 - 6*p**4 in the form f*p**3 + w*p + v*p**2 + y + d*p**4 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - 204 + 196 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20\/14)\/((-3)\/(-21)). Suppose -5*a + 2*a = -3*s, -2*a - t = -4*s. Suppose 4*i + q = 19 + 42, -5*i - a*q + 80 = 0. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 27 = -4*v - 5*n, 4*v - 4*n = 0. Suppose 2*f - f - 3 = 2*k, 5*f + 5*k = -30. What is the units digit of f*((-5)\/v + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*o + 3. What is the nearest to 1 in o, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5379 + 1149 = -235*f for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 + 40.99. Put -2, v, 1\/2, -1\/6 in ascending order.\nAnswer: -2, -1\/6, v, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 7*b**2 - 69*b + 7. Let a(k) = -6*k**2 + 68*k - 6. Give 6*a(x) + 5*t(x).\nAnswer: -x**2 + 63*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.150706 - -0.650706. Let q = 4 - 8. Sort g, -11, -0.5, q.\nAnswer: -11, q, -0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/8 and -61\/216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (976\/(-244))\/(2\/4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, -0.2, -2\/33, 5\/12473 in ascending order.\nAnswer: -62, -0.2, -2\/33, 5\/12473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y + 4. Suppose 2*w = 4*d - 6, 2*d = -3*w - 2 + 17. Calculate q(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**5 + 4*a + 2 + a**4 - 4*a)*(-38 - 229 + 1398).\nAnswer: 2262*a**5 + 1131*a**4 + 2262","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61924 is divided by 397?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = 10*w - 12*w. Let o = -137 - w. Let p = o + 214. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + x**2 - 2*x + 2. Suppose 3*s + 10 = 8*s. Determine i(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -54 - -57. Suppose 4*i - 20 = -a*n + 5*i, 5*n - 48 = -2*i. What is the remainder when 19 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12 - -1)*(-1 + 0). Find the second derivative of -51*h**3 - i*h + 2*h - 31*h - 6*h wrt h.\nAnswer: -306*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -64?\nAnswer: 5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8367? (a) -16 (b) -2\/9 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293216*k - 293221*k - 29 = 2*r, 0 = -7*r + 5*k + 11 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 140297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, -32, -2\/17, -17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 130069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -4) + -14 + 1 + -5.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -140 minus 196.0686?\nAnswer: -336.0686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 9:40 PM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -20 (c) -2 (d) 1\/21 (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q + 16. Let t(n) = -2*n + 15. Let v(w) = 6*t(w) - 4*u(w). Suppose -307 = 9*o - 406. Let s(z) = z - 5. What is o*s(f) + 2*v(f)?\nAnswer: 3*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + (-1)\/(3\/(-9)). Suppose 0 = -5*g + 2*f + 10, 11 = 4*g + 2*f - 3*f. Differentiate -l**4 + t + g*l**4 - 3 with respect to l.\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from zzgzzzgcgzgzzgkgzgz?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3814, 15187, 34092, 60487, 94330, 135579?\n\"Answer: -7*z**3 + 3808*z**2 - 2*z + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27504 by 9168.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ak when two letters picked without replacement from aakkakk?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5582, 13599, 26968, 45689, 69762, 99187?\n\"Answer: 2676*g**2 - 11*g + 2917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 + -52. Let h(x) be the second derivative of x**4\/2 + 7*x**2\/2 + 20*x. Let k(c) = -c**2 - 1. Calculate q*k(z) - h(z).\nAnswer: -z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(3) + sqrt(3) + (sqrt(9)\/sqrt(3))**2) - (1 + sqrt(3) + -1).\nAnswer: -11*sqrt(3) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1104, -4, 3, 1, 2178 in ascending order.\nAnswer: -4, -0.1104, 1, 3, 2178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*c**2 - 13*c**2 - c + 5*c**4 + 15*c**4 + 1 as g*c**3 + f*c**4 + o + q*c**2 + z*c and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**3 + 3*r**2 + 2. Let p(v) = 6*v**3 - 9*v**2 - 5. Give -3*p(t) - 8*w(t).\nAnswer: -2*t**3 + 3*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -1, 0, 7, -140.\nAnswer: -140, -10, -1, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2 - 21*b - 14. Calculate d(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 608 + -520. Calculate the highest common divisor of 8 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7259659 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - m - 1)*(1 - 1 - m**3) + m**4 + 4*m**4 - 3*m**4 - 1 + 1 - 5*m**4 + (-2*m + 0*m + 0*m)*(2*m**3 - 3*m**2 + 3*m**2) + m**4 - m**4 - 3*m**4.\nAnswer: -9*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1370 - 28 + 139 - 739)*(-3*y + 2 - 2).\nAnswer: 5994*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/(6\/9 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3452 <= 534?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 9, 8, 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*-12*(-5)\/21240*(-18)\/12.\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of y**4\/2 + y**3\/3 + 2*y**2 + 3*y - 1. Let k be o(-2). Let g = k - -31. Is 6 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-76766)\/(-10) - (14 + 670\/(-50)). Calculate the greatest common factor of w and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000053302563 rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24 or -36?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9455111 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -7023, 4, 45, 3, -14 in decreasing order.\nAnswer: 45, 4, 3, -14, -7023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 427 or 428?\nAnswer: 428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l - 38. Let r be j(13). Solve r = 2*d - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sak when three letters picked without replacement from {a: 3, k: 2, t: 2, e: 2, f: 3, s: 4}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 4*w**2 + w - 4. Suppose -5*t = i + 3, -4*i + i = -t - 39. What is the least common multiple of p(-3) and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -1. Let d be -2*(-12)\/10*(-870)\/(-348). Let h(o) = 21*o - 6. Calculate d*z(s) - h(s).\nAnswer: -21*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -28 times -3128552\nAnswer: 87599456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -245 + 295. Let y = -28 - -51. Suppose 5*i + y = 4*w, -i = 5*w - 3*i - n. Is w a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4835*k**6 - 132*k**2 + 130*k**2 - 2165*k**6 + 1624*k**6 - 600*k - 3 wrt k.\nAnswer: -645120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*d - 14*d - 56 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1706 + 859 + 26*t + 847.\nAnswer: 26*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (448\/80)\/((-2)\/(-15))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 20109231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n**5 + 668*n**4 - 30140*n**3 + 188836*n**2 - 389760*n + 230400 = 0. What is n?\nAnswer: 1, 3, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.10686 - 25.62286. Round q to zero dps.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 40913*h - 8406.\nAnswer: 40913","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -30413730 (base 9) in base 10?\nAnswer: -14594445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 1 + 5. Let v be d\/(-3 + 96\/33). Suppose 0*m + 3*m - v = 0. Calculate the remainder when m is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 33.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyzzyzzyyzyyz. Give prob of sequence zz.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 342 and 4357242.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (30 + 8)) + 17?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - -21. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1108 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (2 + -13 - (2 + -6 + -6 - -2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.26 - -1.56. Which is the nearest to 0.2? (a) g (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 5:56 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -258200 and 24.\nAnswer: -6196800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ntnttntnnt. Give prob of picking 3 t and 1 n.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1316052 + -660437. Suppose -3*b + 424385 = -q. What is b rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -2*n**7\/7 + 9*n**6\/2 - 116*n**3\/3 + 55. Find the third derivative of d(r) wrt r.\nAnswer: -240*r**3 + 1620*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r + 5*k - 4, 0 = -r - 3*k + 14 - 16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of 11*n**9\/168 + n**8\/168 - n**5\/15 - n**3\/3 + 10*n**2. Find the third derivative of u(b) wrt b.\nAnswer: 3960*b**3 + 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 573 + -361. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 4*o**2 - 4*o + 1. Let l be g(3). Let t(u) = -2*u + 25. Let n be t(11). Let d(j) = j**2 - 7*j - j**3 + 4*j - 3 + 0*j**n + 0*j. Determine d(l).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*w + 999 = -44*w. Is w a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-102 + 26*o + 102)*(-2*o**3 - o + o).\nAnswer: -52*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bbbibiiiiibib.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -3*x**5\/10 + x**3\/6 + 2*x. What is the second derivative of j(l) wrt l?\nAnswer: -36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000022357 to 6 decimal places.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 117914?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -5896*s + 5. Let p(z) = 3463902*z - 2938. Let w(a) = -5*p(a) - 2938*r(a). Let x(g) = g. Calculate w(x(u)).\nAnswer: 2938*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = j + 7162, z + 19*j - 14*j - 1448 = 0. Suppose 0 = -o - 3*m + z, o - 3*m = 1299 + 110. What are the prime factors of o?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9103083l to millilitres.\nAnswer: 910.3083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 o when three letters picked without replacement from rrdbdboordurddrwuw.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cr when two letters picked without replacement from rccrgcnragr?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -13*h**5\/4 - 7*h**4\/4 + 18*h. What is the third derivative of p(u) wrt u?\nAnswer: -390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 1124?\nAnswer: -1124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 29*n = 28*n + 9, -3*v = -n + 2. Is 1\/130 less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292440 rounded to the nearest 10000?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 2*f**2 + 3*f + 2. Let i be s(3). Suppose -2 = m - i*m. Suppose 2*h = m*r - 56, 0 = 5*h - 1 + 6. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 31*c**2 - 84*c - 538. What is m(-33)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 + -25. Solve 4*j = -t + x, -3*j + 0*t = -t - 14 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 918288917.9695 and -0.9.\nAnswer: 918288917.0695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45 - 27. Let x be l\/(-99) - (-466)\/22. Suppose 0 = y - x + 7. Calculate the remainder when y is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2209.642 rounded to zero decimal places?\nAnswer: -2210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-9)*-5)\/(205\/(-60) - -3). Solve 3*s + q*r + 14 = 1, -3*r = -s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 4. Let w(r) = -2*r - 9. Let h be w(v). Suppose -h*p + 15 = 2*p. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 126160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + -128. Let h = -133 - v. Solve h = -2*f - 3*f + 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 0. Let y = -96 - 145. Let f = 235 + y. Sort 3, f, v in descending order.\nAnswer: 3, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 1643*d + 3216. Determine u(-2).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 416558 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 24*x + 7. Let m be r(24). Let d be m\/(63\/6) - (-12)\/(-45). Find b, given that -d*b**2 + 0 + 0*b = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50\/11 + -630\/187. Do 0 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = i - 134. Suppose -3*w + 9 = -66. Calculate the remainder when i is divided by w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1 + sqrt(12) + -3)**2.\nAnswer: -8*sqrt(3) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 294603305 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-4))\/((9\/2)\/(14\/((-224)\/1392)))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/35, 3, -2\/21, 5, -0.3?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d + 1 + 0*d - 16*d in the form o*d + w and give o.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 30369887 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 468575 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: Find a, given that 5*a**4 + 330*a**3 + 7260*a**2 + 53240*a = 0.\nAnswer: -22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eveeveeveeeeeeeveeee. What is prob of sequence eeve?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -630.023 + 0.08\nAnswer: -629.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11984 is divided by 170?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4180022 and 2388584.\nAnswer: 16720088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 154003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.7455858 times 6?\nAnswer: -34.4735148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 152\/371 + 1\/53. Let n = 268.8 - 26. Let u = -243 + n. Which is the third biggest value? (a) -1 (b) u (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 8*v**2 + 7*v - 16. Let p be b(-9). Suppose -2520 = -p*n + 4*i, 0 = -2*n + i + i + 2516. Let a = n + -607. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256153*l + 16*l**3 + 256153*l.\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 186704 and 4.\nAnswer: 186708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0716908 nanograms to kilograms.\nAnswer: 0.0000000000000716908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9079\/13 - -698. What is the smallest value in k, -1\/2, 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away -7551449?\nAnswer: 7551449.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 488*m - 2. What are the prime factors of k(2)?\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8713.383 litres in millilitres?\nAnswer: 8713383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1365 - -1373. Calculate the least common multiple of n and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(84\/27)*4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 95974 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: Which is smaller: 6985608 or 6985621?\nAnswer: 6985608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b - 7. Let a(u) = -3*u - 9. Let z(i) = 3*a(i) - 4*c(i). Let y(j) = -4*j + 2. Give 2*y(k) - 7*z(k).\nAnswer: -k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4981714?\nAnswer: 2, 17, 146521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.93 + 959.93. Let r = t - 942.71. Round r to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4120 + -1244?\nAnswer: 2321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 - -2) + -3 + 0. Let l = -3 - u. Suppose 0 = 3*x - l*x + 515. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d + 3*d - d + d - 1 + 1 + (-3 + 1 + 3)*(-d + 6*d - 3*d) + 3*d + 3*d - 4*d - 4 + 4 - 2*d + 13 - 13 + 56*d to j*d + y and give j.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5*g - 3 = -4*g, 0 = -4*u - 3*g - 9. Solve -3*y = 2*w + 1, -2*y + 3*y - 3*w - 7 = u for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -7, 4, -9, -3, -1945, 1 in ascending order.\nAnswer: -1945, -32, -9, -7, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4a8011 (base 11) to base 4.\nAnswer: -3003213322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 r when two letters picked without replacement from {r: 1, d: 2, k: 1, s: 5, v: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z - 5 - z**3 - 8 + 21 - z**3 to b*z**3 + n*z**2 + r*z + a and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/434 and -1 - ((-5643)\/6510 + (6 - 16)\/70).\nAnswer: 2170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131140873?\nAnswer: 17, 241, 32009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {z: 4, b: 2, f: 5}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60129 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and 12324.\nAnswer: 12323.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u + 3*g - 14, -1033*g = -0*u + u - 1032*g - 8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/1212 (b) -9 (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9907.50615 and 0.\nAnswer: -9907.50615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in months?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.2, -3, 4, 37.\nAnswer: -3, 0.2, 3, 4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 9 and 118209.\nAnswer: 118218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99388589 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 93 and 1209.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -8. Suppose -38 = -o*h + 2. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 - -6?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 18, -3, 2\/17, -18?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-2)*(120\/36 - 3). Solve 2 = v + d for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21747 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -a**2\/2 + 13*a + 6. Let q be r(10). Solve -9 = q*h - 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 4*a - 95, 0 = 2*k - k - 4*a - 43. What are the prime factors of k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*v**3 - 45*v**3 + 80*v**3.\nAnswer: -21*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -3 - (2 - 21 - -13) - 3 - -48?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(2\/7))**24\/(a*a**(1\/2)*a\/a**2)*(a**1*a)**(2\/21)\/((a*a**(-1)*a*a)\/a*a)**(-25) assuming a is positive.\nAnswer: a**(3383\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-111)\/(-12) - 1\/4. Let b(y) = y**3 - 20*y**2 + 18*y - 11. Let u be b(18). Let x = -236 - u. What is the greatest common divisor of x and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5afb + 116e?\nAnswer: 6c69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3 (b) 25 (c) 7\/8 (d) 75 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1642799510?\nAnswer: 2, 5, 11, 1657, 9013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (3 - (-1 + 1)). Suppose -3*h = j + 9, v*j - 4*h = 15 - 3. Solve j = 2*b - 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-8)*((-1 - -3) + -3)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -29*q**2 - 19*q + 85. Calculate t(2).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**3 + 2*v**3 - 6*v**3)*(6381 - 3060 + 2371)*(v + 2 - 2).\nAnswer: -5692*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2, -5, 51\/11, -2.5, 2\/137?\nAnswer: 51\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*r + 658 + 1148 = 202*r for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -z - 0*z. Find n, given that n**5 + 4*n**2 + 2*n - 4*n**4 - z*n**5 - n**5 + 0*n = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1066*a**5 + 309*a**2 + 2?\nAnswer: -63960*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 27. Let q = y + -9. Suppose -3*k + q + 29 = 0. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 11 - 145 = -5*h, -4*y - 8 = 0. Let u be 1\/2 + 4592\/h. Suppose -3*i + u = -0*b - 3*b, -3*i + 144 = -4*b. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/280)\/(5\/((-100)\/36))\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 7*d**2 - d + 9. Let n(r) = 5*r + 24. Let a be n(-6). Let p(m) = 20*m**2 - 4*m + 26. Let x(f) = a*p(f) + 17*h(f). Give x(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -2. Solve -k**4 + k**5 - 2*k**3 - 9*k**5 - 9*k**x = 0 for k.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 443218077 and 369.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21681*g + 361 = 21742*g - 127 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/9 - (-268)\/3. Let s be -1*(-2)\/(4\/z). Solve 2*i = k + 6, -6*k = 5*i - k - s for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/1684 and -131\/18.\nAnswer: 15156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 9)*2\/(-54)*1. Which is the smallest value? (a) -11 (b) -0.2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, s: 7, r: 3, g: 5}. What is prob of picking 2 g?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -187, -170, -173.\nAnswer: -187, -173, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 122 + -108. Suppose 3*i = 7*i - 2*g, 0 = 3*i + 2*g - r. Solve -s - 3 = i for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 52*i. Let y(q) = -197*q. Determine l(y(f)).\nAnswer: -10244*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -285.4 - -285.5. Let t = 3\/2 + -17\/14. Which is the nearest to y? (a) t (b) -5\/7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 21*s**2 + 26*s + 129. Give r(-20).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*f - 4*q + 3*q, -5*f = -2*q - 13. Is -121*(3 + (-3 - f)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 77*b**6\/6 + 9*b**2 - 96. What is the second derivative of f(j) wrt j?\nAnswer: 1540*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -197.96 + 192. Let j = u + 6. Which is the smallest value? (a) j (b) 2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1459697, 2919298, 4378899, 5838500, 7298101?\n\"Answer: 1459601*p + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by -536.\nAnswer: 23\/536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one fifth of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 229 divide 682827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p. Let q(b) = -9*b - 4. Let r(g) = -19*g - 9. Let n(s) = 9*q(s) - 4*r(s). Give t(n(f)).\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/(-5) - (1 - 2). What is the second smallest value in g, 3, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3276 and 630?\nAnswer: 16380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 618306.54+-5\nAnswer: 618301.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -263.\nAnswer: -263.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/11? (a) -5 (b) 2\/3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -k**4\/6 + 2*k**3 - 13*k**2. Let b be q(2). Suppose 26 = b*f - 78. What is the remainder when 180 is divided by f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**5 + 856*g**4 + 46644*g**3 + 90736*g**2 + 44944*g.\nAnswer: 4*g*(g + 1)**2*(g + 106)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -5, -17, -33, -53, -77?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, f: 3, y: 5, t: 3}. What is prob of sequence ffyf?\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 5, -2\/3, -0.033?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 138*l - 2. Let z(r) be the first derivative of 4*r**3\/3 - 10. Determine z(m(p)).\nAnswer: 76176*p**2 - 2208*p + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(-5*o + 5*o - o**2) - 35*o**2 + 233*o**2 + 14*o**2.\nAnswer: 210*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -5*d - 136. What is u(-26)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-73)\/(-105) - ((-12)\/(-30))\/(14\/21).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h + 11. Let f(b) = b**2. Determine u(f(z)).\nAnswer: 2*z**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -16. Suppose 0 = 5*z - a - 4. Which is greater: z or 8\/7?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180431906?\nAnswer: 2, 37, 197, 12377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + i + 0*i)*(3 + 2 - 31)*(-2*i**2 - 2 + 2).\nAnswer: 52*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 9*y**2 + 6. Suppose f + 14 = 2*j, 2*j - 8 = -3*f + 22. Determine o(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00238615 plus 5?\nAnswer: 4.99761385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -t**5\/60 - t**4\/4 + 3*t**3\/2 - 2*t**2. Let s be x(-8). What is the remainder when 13 is divided by (-47)\/(-7) + (-2)\/s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of r**3\/3 + 5*r**2\/2 - 3*r + 11. Let v be w(-6). Suppose 4*s - 53 = 4*d - d, 30 = v*s + d. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109 + 53 + 56 + 2*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1902 is divided by 48.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 230824*q**2 + q + 204162 wrt q?\nAnswer: 461648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-54)\/(-4)*(-112)\/168. Is -71\/7 < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*t**3 - 7815*t**2 + 15615*t - 7805 = 0. What is t?\nAnswer: 1, 1561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35.3 + -37.3. Put r, 3\/5, -0.02, -0.3 in decreasing order.\nAnswer: 3\/5, -0.02, -0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*586.\nAnswer: -58.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.5 and 0.028?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 991 or -0.7504?\nAnswer: 991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78228 + 422246 = -6*h - 85246. What is h rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 7667?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*o**2 + 5*o**4 - 4*o**4 + 2*o**2 wrt o.\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 755, 763, 793, 857, 967?\nAnswer: 1135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*g**4*z**3 + 2*z**3 + 35*z**2 wrt g?\nAnswer: 40*g**3*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*u)*(-5*u - 4*u + 3*u) - u**2 - 3 + 3.\nAnswer: -13*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*a**2 - 7*a + 3*a - a + 16*a - 24*a**2 as u + t*a**2 + s*a and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -102 + 104. Suppose 0 = -y - 4 + 7. Find the second derivative of -1 + 0 - y*n + q*n**3 + 1 wrt n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 0.01 (c) -3\/34 (d) -5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6999*y + 8. Let n be 34\/9 + (-4)\/(-18). Suppose 5*i - 52 = -4*b, 0 = -i - i + 4*b + n. Let o be a(i). What is o rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82713713?\nAnswer: 29, 2852197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 162 + -91. Suppose 52 = -3*m - d. Let u = -79\/2 - m. Find the common denominator of 49\/18 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 5*c + 2. Let i = -9 - -3. Let o be q(i). Let k be o\/(-14) + 66\/14. Solve k*z + 11 + 4 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 283441 (b) 26 (c) -2 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14570082 to the power of 1\/2, to the nearest integer?\nAnswer: 3817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zav when three letters picked without replacement from {v: 4, a: 2, o: 2, z: 5}?\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*y + 2*o, 5*o - 9*o + 8 = 0. Suppose -71 = -j - 3*v - 69, 0 = -5*v. Solve -k - 5 = -j*k - y*w, 5*k + 3 = -w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {e: 1, q: 1, b: 3, f: 5, p: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2272 and 1846.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -4*t - 2 - 3*t**3 - 439*t**2 + 436*t**2 + 2*t. Let n be b(-4). What is the highest common divisor of n and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40068 + 68527. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, n: 2, p: 3, q: 2, i: 6}. What is prob of picking 1 i, 2 n, and 1 q?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o**2 - o + 6. Let c(t) = 2*t**2 - t + 4. Let u(y) = -8*c(y) + 5*r(y). Factor u(d).\nAnswer: -(d - 2)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 139769.75 to the nearest 100.\nAnswer: 139800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 560 is divided by 538.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/11 in 5, 15.6, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -23*j - 31. What is the units digit of d(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 2605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14.3 + 14. Let p = -1210 - -1215. Which is the third biggest value? (a) m (b) -1\/2 (c) -1\/4 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/7, 1\/5, -77046?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u - u + 16 + 2*u. What is the lowest common multiple of (-195)\/27 + 7 - 384\/(-27) and j(0)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111001 (base 2) to base 15\nAnswer: 3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2742407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w - 1. Let c be k(7). Solve 0 = -2*r - c, -4*t = t + 2*r + 31 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -6*i**3 - 2*i**2 + 5*i + 5. Let u be a(-2). Calculate the greatest common factor of u and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 649555 is divided by 91.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -18, -4525.\nAnswer: -4525, -18, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 20*h + 303. Let o be b(-15). Suppose -15165 = -3*s - o*m, -4*m = 4*s - 5*m - 20210. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 202000 divided by -2525.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22379191?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fkfk when four letters picked without replacement from kkkkfkffkffkfkffkfk?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1136, 60.\nAnswer: 2, 60, 1136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/9 - 922\/(-18). Suppose -y + 4*n = 4*y + l, n = 4*y + 32. Let m = y - -26. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 154*g + 2*g**2 - 3*g**2 - g**2 + 92*g + (g + g - 3*g)*(-2 + g + 2) in the form u + w*g + c*g**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5317041, 5317039, 5317037, 5317035?\nAnswer: 5317033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -49*b. Let t = -83 - -88. Let k(m) = -15*m + 9. Let r(i) = 8*i - 5. Let z(y) = t*k(y) + 9*r(y). What is z(p(l))?\nAnswer: 147*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2655 is divided by 190.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h*(h\/h**0)\/h))\/h**8*h**9\/(h**(-5)\/h) assuming h is positive.\nAnswer: h**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6155*y + 6211*y = 18661*y - 6131*y - 10168 for y.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 19) + 7 - (1 + (-4 - 1)) - -26?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u**3\/3 - 35*u**2\/2 - u - 10. Let x be t(-15). Sort 3, x, 4, -1 in descending order.\nAnswer: 4, 3, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/6, -35.17, -0.01?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 456 - 6684 = 4*w. Let z = w + 2995. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4421, 5\/9, 97, -3\/2 in descending order.\nAnswer: 97, 5\/9, -3\/2, -4421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.85018 + 0.14982. Which is the third biggest value? (a) 1 (b) -0.02 (c) 41 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -20, -4, -13.\nAnswer: -20, -13, -4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11210 - -2202?\nAnswer: -2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -79 + 70. Let z = n + 4. Let l be (z + 2)\/(0 + 3) - -1. Solve l = 5*o + m - 1, 2*o - m - 6 = -0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 5:10 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -157 + 1095\/7. Is -6 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**4 + 465*j**3 + 325*j?\nAnswer: 24*j**2 + 2790*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 g when three letters picked without replacement from nnnxnggnngxgnnpnnngp.\nAnswer: 11\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*o + 4*o**5 + 4*o**4 + 11*o - 2154*o**3 + 2130*o**3 - 16*o**2.\nAnswer: 4*o*(o - 2)*(o - 1)*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4 = -2*s, 3*s + 3 - 9 = 5*n. Suppose 0 = k - 5*k. Solve -s*g - g = k for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34*h**3*v + 99*h**2*v**2 - 15*h*v**2 - 5*h - 20*v**2 wrt h.\nAnswer: -204*h*v + 198*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ufukxfufukxfuxkkuexk. Give prob of sequence ffe.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 48\/(-5) + (-24)\/(-40). Let p be q\/6 + 1\/(-2). Let g be p\/(-8) + (-11)\/(-4). Solve -g*v + 4 + 5 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3158 divided by 1?\nAnswer: 3158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 2746653736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -2250, 2, 4, -21.\nAnswer: -2250, -25, -21, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 3\/8, -13, -4, 28\/3 in decreasing order.\nAnswer: 28\/3, 2\/5, 3\/8, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0*-0.05118\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 63 - 66 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3190171 to the power of 1\/3, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqeeeeeeeeeeeeeeeeqe. Give prob of sequence qqq.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -51 divided by -51\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -5 + 4 + 5 + 2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 99 and 291?\nAnswer: 9603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3357.\nAnswer: 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bh when two letters picked without replacement from tututthbtthtbt?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -2211120.\nAnswer: 1\/552780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 315331605*t**2 - 19503*t - 2552 wrt t?\nAnswer: 630663210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86107, 172170, 258237, 344308, 430383?\nAnswer: 516462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - t + 3 = -11, -2*t + 10 = 4*b. Suppose 30 = 2*f - 2*m, b*f - m = 23 + 24. What is the highest common factor of f and 192?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180 + b - 172 + 352.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 308 and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 3852 = -14740. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*o**2 + 9*o**2 + 10*o**2 + 10*o**2 + 11*o**2.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 126122450 != 126122448?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -308 or -305?\nAnswer: -308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 4) + (-64 - -66)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of y**3\/2 - y**2 + 15*y. Let v(m) = -6*m + 3. Give -3*v(q) - 5*w(q).\nAnswer: 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -181 or -4889\/27?\nAnswer: -4889\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 14*g - g**2 + g**3 + 17*g - 27*g. What is the units digit of f(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-18)\/10)\/(4\/(-10)))\/(56 + (-59519)\/1060)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 i when four letters picked without replacement from {i: 4, e: 2, t: 1, c: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 59997780361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaiaaaaaaiaiaaa. What is prob of sequence iaaa?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -494 by 13.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171327 is divided by 705?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a decade in months?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 109357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 89*r**2 + 469*r - 106. Calculate w(-94).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -19*a**3 - a**2 + 2*a - 2. Let r(v) = 22*v**2 - 118*v - 89. Let d be r(6). Let x(s) = 37*s**3 + 2*s**2 - 5*s + 5. What is d*n(m) - 2*x(m)?\nAnswer: 21*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*3*(-4*sqrt(63) + sqrt(7) + (sqrt(385)\/sqrt(11))\/sqrt(5))**2.\nAnswer: -4200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -30002 (base 13) to base 15\nAnswer: -1a5c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4*(-1)\/(-15)*3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 188.04 to zero dps.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -112010010 (base 4) in base 3?\nAnswer: -11120222010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*u + 37*u - 12. Let g be (-90)\/12*u\/9. Suppose 0 = 5*q + 2*p - p - 8211, 0 = -5*p + g. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 645924140?\nAnswer: 2, 5, 32296207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 320082, 320084, 320086, 320088, 320090?\nAnswer: 320092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -11*p - 9. Let u be q(-4). Let o be (5\/u - 1)*(-2 - 334). Suppose -3*i + 5*m + o = 0, -3*i + 144 = -m - 144. Is 12 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.431 + -0.069. Which is the third biggest value? (a) -3 (b) 5 (c) y (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f\/f**(-2))\/f)*f)\/(((f*f\/(f*f**(-7)\/f*f)*f)\/f)\/f*f)*(f**(-1\/2)\/f)**(-15\/7) assuming f is positive.\nAnswer: f**(-67\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 455700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3845 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -937*g - 1412*g = 353*g + 1349*g + 587395 for g.\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 0.4 (c) 0.01 (d) -10\/539 (e) -26 (f) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 8*l - 13. Give w(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/191474 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (2 - -3) + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1674534469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92105 is divided by 305?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 4. Suppose 36 = -9*r + 18*r. Solve -l*o = -r*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-320017*g**3 + 411*g**4 + 320017*g**3)*(-g - 3*g + 3*g).\nAnswer: -411*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**3 + z**2 + z + 1. Let d be s(-1). Let c = -0.01 + 0.01. Let f = c + 0.3. Put d, 5, f in decreasing order.\nAnswer: 5, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 576\/(-132)*(44\/(-154))\/((-4)\/7).\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/1)\/60*(-1)\/2*3.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 2, -0.7, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 11)*(-3*c + 4*c + 2*c)*(36*c**2 + 67*c - 67*c).\nAnswer: 972*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 2*y - 0 - 10, 3*a + 3*y = 30. Solve 2*w + 3*w - 20 = -a*f, 2*w = 3*f - 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**4\/2 + 3*s**3\/2 + 9*s**2 - 6*s - 12 = 0?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-138))\/(532\/152).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 21 = -f. Let j = 24 - f. Solve -3*o + 23 = -2*o - 5*k, -2*o = j*k + 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.14 + -0.44. Which is the third biggest value? (a) -2 (b) f (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 2883?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 301295 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2 + 4*z - 4. Let q(h) = 2*h**2 + 3*h - 3. Let i(l) = 4*q(l) - 3*r(l). Let n(g) be the first derivative of -26*g**3\/3 - 57. Determine i(n(o)).\nAnswer: 1352*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11222 (base 3) in base 5?\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31751346.\nAnswer: 2, 3, 11, 29, 53, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + 2)**2 + (sqrt(42)\/sqrt(3) - sqrt(14))\/sqrt(7).\nAnswer: 24*sqrt(2) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 656 minutes after 7:24 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8.441542 centuries?\nAnswer: 84.41542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -133454, -1067830, -3603984, -8542802, -16685170, -28831974?\nAnswer: -45784100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -402 - -403. Sort -3, q, 6, 0 in increasing order.\nAnswer: -3, 0, q, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*s = 5*p - 29, 0 = -s - 3*p + 19. Suppose -2*o + 2 + s = 0. Let z(k) = k**2 - 4*k + 2. Let b be z(4). Solve o*x - 8 = -j, -2*j + b = 4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and -373633?\nAnswer: 373628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 4*o**5 + 84*o**4 + 552*o**3 + 1192*o**2 + 1044*o + 324 = 0?\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + -1. Let i be (8\/(-6))\/(z\/9). Suppose -2*d - 60 = -i*d. Calculate the greatest common divisor of d and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -496*h - 72410. Determine s(-146).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/6 and 121\/90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sdzedppdezvsedddzpd. Give prob of sequence vse.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 88179*p + 23. Let u(x) = 41*x. Determine s(u(a)).\nAnswer: -1681*a**2 + 3615339*a + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5*12\/(16\/(-3) + 2). Let b be (-3*(-1)\/(-9))\/(2\/d). Suppose -10*t = -b*t - 112. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4411, 4410, 4409, 4408, 4407?\nAnswer: 4406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2*x + 2*a = 14, -12 = -4*a. What is the second derivative of -m**5 + 2*m - m + x*m**5 - 6*m wrt m?\nAnswer: 60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -g**6\/40 - g**5\/60 + g**4\/12 + g**3\/3 - 326*g**2. What is j(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24142547 is divided by 138?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18047560 and 1060?\nAnswer: 18047560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.4 (b) -7 (c) -1 (d) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-4\/3)\/q*q*q)**(-28)\/(q\/q**(1\/24))**(-21) assuming q is positive.\nAnswer: q**(35\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 19\/(-4) - (-3)\/4. Let o be (w\/(2\/(-1)))\/4. Does o = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-7))\/((-15)\/35*-1)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -39, -48, -73, -120, -195, -304, -453?\nAnswer: -648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3731653775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence in when two letters picked without replacement from {n: 7, i: 3}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k - 3*k**4 + 4*k**4 + 42*k**3 - 2*k**4 - 43*k**3 + 3*k**2 to the form g*k**4 + v*k**3 + j + m*k**2 + i*k and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vppafvah. Give prob of sequence afh.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - 1)*(-9 - -5). Suppose -4*f + 4*b + u + 12 = 0, -3*f - b + 17 = 0. Suppose 12*y - 1662 = f*y. Is y a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3394497?\nAnswer: 3, 157, 7207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 13*z**2 + 11*z + 12. Let t be k(12). Suppose 3*r - 2*b = -4 - 4, t = -4*b - 20. What is the common denominator of 26\/45 and (1 - 558\/r)\/10?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1913458?\nAnswer: 2, 149, 6421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(396) - (sqrt(77)*2)\/sqrt(7).\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 84802419.\nAnswer: 4\/84802419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 68, 73, 82, 95, 112, 133?\n\"Answer: 2*l**2 - l + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 6 - a**2)*(23*a**2 + 5 - 5) in the form x*a**2 + n*a**4 + b*a + q*a**3 + z and give n.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {f: 5, u: 3, k: 3}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*b + 16221, -7*i + 11*i = -2*b + 6484. Does 63 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (13 + (-21 - -11) + -13 - 2) + 19.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/3 + 1205210*k\/3 - 38564672\/3.\nAnswer: -2*(k - 602573)*(k - 32)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -1973065?\nAnswer: 1973062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 143003.3 millilitres in litres?\nAnswer: 143.0033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 227\/76 + -52\/19. What is the closest to -1.1 in g, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -35*q**2 + 5*q + 12. Let r be l(-7). Let k = -1235 - r. Suppose k = 5*m - 82. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 362416795 and 12155.\nAnswer: 1105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = y + 48. Suppose -15*m + 45 = -y*m. Solve 8*b = 5*b + 4*l - 5, 0 = -4*b + 3*l + m for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00093906 rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**3 - k + 763. Let x(g) = -14*g**3 + 8*g - 5339. What is 15*t(s) + 2*x(s)?\nAnswer: 2*s**3 + s + 767","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 274, 348, 398, 424, 426?\nAnswer: 404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 9897117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - 3123.\nAnswer: -3103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116963 is divided by 159.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 5\/(110\/33)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -1724*i**3 - 6*i**2 - 54*i + 1624. Let o(f) = -1723*f**3 - 7*f**2 - 63*f + 1625. Let d(v) = 7*a(v) - 6*o(v). Differentiate d(n) wrt n.\nAnswer: -5190*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -99777.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - r - 8. Let q be f(0). Calculate the remainder when (8\/10)\/(q\/(-20)) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5908 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 144606 by 2.\nAnswer: 72303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**3 + 3*p**2 - 3. Let v(c) = -7*c**3 + 8*c**2 - 8. Let f(n) = 15*n**3 - 17*n**2 + 17. Let k(x) = -4*f(x) - 9*v(x). Give 7*a(r) + 5*k(r).\nAnswer: r**3 + r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 47*t**2 + 4619*t - 9046. Give w(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 t when four letters picked without replacement from tftffftffff?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*d + 4*j, 0 = -3*d + 2*d + 2*j + 1. Let x be d*(-3 + 40\/12). Suppose -3 = -t, -5*t = 2*c + 6 - 23. Is x greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*y**5 - 15712*y**4 - y**2 + 50*y - 385?\nAnswer: -140*y**3 - 188544*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 4:26 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -52\/3. What is the nearest to d in 2\/11, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 578168 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -x - 11. What is the derivative of -22 + 0*c - 6*c - 3*c + 3*c**4 + x*c wrt c?\nAnswer: 12*c**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58100?\nAnswer: 2, 5, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, -5, 12\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005855173 to six decimal places.\nAnswer: 0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -234*v**4 + 7023*v**3 + 846*v**2 - 28092*v + 360 = 0. What is v?\nAnswer: -2, 1\/78, 2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**4\/24 + 5*k**3\/6 + k**2 - 50*k. Determine d(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1119*s - 1119*s + 3*s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53 + 48.8. Let x = -5 - k. Which is greater: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(-6)\/(-9) + 1. Let b be 0 - (q + -4)*1. Sort b, 3, 2.\nAnswer: b, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 7:32 PM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 - j + 3. Let r be a(2). Let q = r + -4. Suppose 12 = g - q. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/2440 and -93\/7360?\nAnswer: 448960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o\/(o*o\/(o*o*o**(8\/5)))*o)\/o)\/(o*o\/((o\/((o*o**1*o)\/o))\/o)) assuming o is positive.\nAnswer: o**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 3:41 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*v - 26*v + 2144 = 5*r, 5*r - 2150 = -5*v. Suppose -3*a = 215 - r. What are the prime factors of a?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 - 53. Let x = s + 47. Let n = x + -27.0046. Round n to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*m - 20*m = 826 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15477\/(-154) + 102 + ((-3)\/(-30))\/(-1)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*q + 55*q + 8325 = -200*q for q.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-6) - 115\/(-30). Let z(t) = t**3 - 10*t**2 + 26*t - 82. Let k be z(8). Sort -0.1, s, k.\nAnswer: k, -0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 11*r + 233. Let b be j(-21). Suppose 4*k = -4*u + 1772, 0 = -b*u + 5*k + 1005 - 84. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2719374 is divided by 118233?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 388410 divided by 86.\nAnswer: 194205\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-7)*4\/(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8786, -35312, -79500, -141332, -220790, -317856, -432512, -564740?\nAnswer: -714522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 77*q**2 - 65*q + 103. Let o(t) = 13*t**2 - 11*t + 17. Let i(u) = 3*f(u) - 17*o(u). What is i(3)?\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94541.\nAnswer: 94541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 2 = -17. Let l(k) = 50 + 72*k**2 - 54 - 71*k**2. Let a be l(q). Solve -u - 3*u = a*t - 16, t = 2*u - 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19\/1570667 or 0?\nAnswer: 19\/1570667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4191.\nAnswer: 3, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1765, -1820, -1875, -1930?\n\"Answer: -55*w - 1710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 627, 1259, 1775, 2127, 2267, 2147?\nAnswer: 1719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*q + 23*q + 4*q)*(-2*q + 2*q - 1 + q)*(623 - 110 - 11) in the form o*q + k*q**2 + x and give o.\nAnswer: -10040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -18*j**3 - 243383 + 81*j**3 + 243384. What is m(1)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-2 + (-4 - -3))) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22681*l**4 - 116772*l wrt l.\nAnswer: -272172*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1839*w - 917*w + 12*w**3 - 922*w.\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23896 - 38786 - w + 157331 + 81145.\nAnswer: -w + 223586","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvsrrrv. Give prob of picking 2 v and 2 r.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - s + 1. Let b(h) = 86*h - 8*h**2 + 2*h**2 + 7 - 90*h. Suppose 3*l + 3*r - 6 = 0, -6 = -2*l + l - 5*r. Let n(k) = l*b(k) - 5*x(k). Give n(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 32 = i, -5*i + 2*d + 32 = -4*i. What is the biggest value in -0.5, i, -0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, g: 9, r: 2}. Give prob of picking 1 r and 2 g.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.111 (b) -1\/2 (c) -5 (d) -5\/13 (e) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/27? (a) -4\/5 (b) 3\/4 (c) -1\/5 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 142823\nAnswer: 571292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1327 - 2?\nAnswer: 1325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55069926.\nAnswer: 2, 3, 1447, 6343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 358 divided by -179\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2677189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/(-10))\/((-144)\/(-216)))\/(33\/(-30))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -3\/8, -1 in decreasing order.\nAnswer: 0.1, -3\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 3*x**2 + 3*x + 1. Suppose 15*q = -7*q + 176. What is the units digit of f(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 273*b**3*n**2*t - 572*b**3*n - b*n**2*t + 9907*b*n*t wrt b?\nAnswer: 1638*b*n**2*t - 3432*b*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2 - 56. Let a(g) = -g**3 + 3*g**2 + 3*g - 3. Let t be a(3). Suppose 2*d = t, 10 = 4*r - d - x. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 9*i**3 - 50*i**2 + 42*i + 9. Determine t(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 10 = -3*y. Let i be (y\/4)\/((-1)\/(-4 - -2)). Solve i = 5*k - 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 86\/4*2 + -1. Suppose -5*d - 28 = u. Let l be 6\/21 + (-52)\/d. Solve 1 = l*v + 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 t when two letters picked without replacement from {t: 1, b: 1, l: 1, x: 2, e: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -p**6\/240 + p**5\/60 + p**4\/6 - 2*p. Let y(j) be the third derivative of g(j). Differentiate y(b) with respect to b.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -12796*c**2 + c. Let j(b) = -12795*b**2 + 1. Let l(u) = -5*j(u) + 6*x(u). Let y be l(5). What is y rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 402, 1539, 3406, 5997, 9306, 13327, 18054, 23481?\nAnswer: 29602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.0040249 + -3082.59\nAnswer: -3082.5859751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -903\/380 - -1\/760. Calculate the common denominator of 13\/12 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/3 (b) -0.017 (c) 7 (d) -1\/58 (e) 0.758 (f) -2\/13 (g) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 120871 to the power of 1\/2, to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1400)\/240 - (-1)\/(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43630651307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/930 and 149\/828.\nAnswer: 128340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + 1)*(-1)\/73. Let u(l) = -l**3 + 2*l**2 + 5*l - 10. Let x be u(2). Is x at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, q: 2}. Give prob of picking 1 q and 2 n.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1350689 - 6?\nAnswer: -1350695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + h + 6*h + 2*h**3)*(1 - 2*h**2 - 1).\nAnswer: -4*h**5 - 18*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5949?\nAnswer: 3, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 + 26. Let k = d + 9.085. What is k rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5*m - 2 + 4 = 0, -4 = 3*y - m. Let x = 19 + -18.54. Let h = 0.96 - x. What is the nearest to y in h, -1\/5, 1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zww when three letters picked without replacement from wewwzweeeezewwwzeww.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1486, -1515, -1544?\n\"Answer: -29*t - 1457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(190) + sqrt(190) - sqrt(190) - sqrt(190) - sqrt(190))*6 - sqrt(190))\/sqrt(10).\nAnswer: -19*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 0*r**2 - 3 + 2\/3*r**3 + 0*r. Let p(g) = 3*g**2. Give p(v(s)).\nAnswer: 12*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d**2 + 5*d**2 - 3*d**2 + 0*d**2.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 102b (base 12) to base 5\nAnswer: 24023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3831.\nAnswer: 3, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does -1186 = -74651\/63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-30)\/4)\/(7\/(-14)). Let s be (-175)\/5*(-9)\/g. What is the remainder when 49 is divided by s + 0 + -7 + 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*((-16)\/32*-11 - -7)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -126a72 + 4?\nAnswer: -126a69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 39344547 - 122\nAnswer: 39344425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83\/10 - 5541\/670. Let w = o + -75\/268. What is the smallest value in w, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1645 less than -5?\nAnswer: 1640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2514?\nAnswer: 2, 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -113 + 203. Let d be 2*2*t\/(-40). Let x = 8 - d. What are the prime factors of x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -3*i + 744 + 1200, 3*i = 3. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3113 + 3.6887. What is the closest to 1 in 1, a, -4, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 234*i**2 - 95 wrt i?\nAnswer: 468*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-10)*-3*(-1)\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccg when three letters picked without replacement from {g: 2, c: 11}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1fd1f7 (base 16) to base 11\nAnswer: -11a4849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1995 + 63805\/32. What is the common denominator of -127\/240 and i?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47 + (1 + -23 - (-160 - -151))\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2032514 to the power of 1\/2, to the nearest integer?\nAnswer: 1426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31*n**3 + 10*n**4 - 31*n**3 + 40*n wrt n?\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 4*u**2 - u - 8. Let i be s(-2). Let b(r) be the first derivative of -1\/2*r**i + 0*r - 3. Let n(t) = t. Give b(n(j)).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56 and 504?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2) - -2 - (101 - 85)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20167 and 17458.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*h + 9*h - 58. Suppose 0 = -j - 2*o - 8, 2*j - 2*o - h = 3*o. What is the greatest common factor of j and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2098*c**5 + 12*c**4 + 2*c**3 + 1133811*c**2.\nAnswer: 125880*c**2 + 288*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -3*t. Suppose 3 = u - 1. Let k = u - t. Solve 0 = -0*b - b - k for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 59\/24 - (-3)\/12 - 2. Let p = -3\/8 + a. Factor -1\/3*y**3 - 2\/3*y**4 + 0*y**2 - p*y**5 + 0 + 0*y.\nAnswer: -y**3*(y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7291 + 7292. Which is the closest to r? (a) -4\/5 (b) 0 (c) 5 (d) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4105.18 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7128)\/(-1440) - (-15)\/(-4)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 367232*c**3 - 3721963*c**2 wrt c?\nAnswer: 2203392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -2*n**6\/3 + 295*n**3\/3 + 3115*n**2 + 3547. What is the second derivative of d(j) wrt j?\nAnswer: -80*j**3 + 590","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -d + 11, 4*x - 6 = -d + 8. Suppose 4*o = 4*p - 48, -p - 3*o = d*p - 12. Let f be p - 3*(1 - 0). Solve 0*b - f = -5*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2\/3 - 8*d - 12.\nAnswer: -4*(d + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38130.\nAnswer: 2, 3, 5, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + y + 1. Let q be k(-1). Let z = 6543\/52216 - 2\/6527. What is the nearest to q in -0.3, z, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1132843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-18892)\/4723*(-97)\/4\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 20*m**2 - 38*m + 38. Calculate the remainder when g(9) is divided by 35.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17 - 186d6?\nAnswer: -186be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10056 (b) -3 (c) -4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -3*p**3 - 39*p**2 + 15138*p - 231336 = 0.\nAnswer: -84, 17, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - (0 + -23)) + -9\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + v - 475933 = -475937, 4*v + 16 = -2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x + 1. Let j be t(7). Calculate the remainder when 20 is divided by 9\/6 + j\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 4:32 PM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 475260 and 1032756?\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**2\/8 + 81*r\/8 - 93\/2 = 0 for r.\nAnswer: -31, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 8*c - 90 = 0. Suppose 5*h = 73 - c. Let l(w) = -7*w + 76. Calculate the remainder when l(0) is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3576 by 12.\nAnswer: -298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 13. Let i = w - 4.7. Sort -4, i, 0.2 in increasing order.\nAnswer: -4, 0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 e, and 1 f when three letters picked without replacement from {g: 1, f: 8, j: 7, e: 2}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - r**2 + 2*r + 1249. Is u(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/18 + ((-1062)\/(-5085))\/(18\/(-20)). Which is smaller: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.70996493 plus -20.7?\nAnswer: -28.40996493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 108 + -104. Suppose -g + 49 = 5*v. Solve -2*w + 1 = v for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-6*(sqrt(2592)*1 + 1) - ((sqrt(2592) - -1*(-1 + sqrt(2592))) + 1)) + 5)**2.\nAnswer: 8064*sqrt(2) + 663601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) - sqrt(48)\/sqrt(4))*1 - (sqrt(1452)*-2 + sqrt(12)))\/((-2*sqrt(16) - sqrt(4)) + (sqrt(4) - sqrt(12)\/sqrt(3)*-2)).\nAnswer: -21*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 99 = x - 12, 3*x - 322 = 5*q. Let g = -25 + x. Find the third derivative of -8*y**2 + 102*y**3 - g*y**3 - 10*y**2 wrt y.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 7*y = -97, 2*h + 716*y = 1438*y - 717*y - 41 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 120\/190 + 2 + -2. Let s = -274\/133 + v. Let y(p) = -p - 3. Let f be y(-3). Is s >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 89*y + 8. Let x be o(3). Let l be (0 + -1 - -1)*1. Suppose l = n - 6*n + x. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1524, 2, 5, -2 in increasing order.\nAnswer: -2, 2, 5, 1524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 9:49 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1\/5 (b) -328\/25 (c) 2 (d) 2\/17 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - 2. Let t(c) = -11 - 37 + 60 - 2 - c**2 - 10*c + 2*c. Give t(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -818.942 and -2.1?\nAnswer: 1719.7782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -10 + o + 20 - 15. Let x be c(8). Solve 4*r + 3*j = 31, -x*j + 7 = -r - 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11857 at most as big as -11849?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 3:59 PM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -10\/7 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5129 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17317, 20248, 23179, 26110?\nAnswer: 29041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 + 3*n + 3. Let i be x(-2). What is the first derivative of -53*d**4 - 41 + i*d**4 + 0*d**4 - 58*d**4 wrt d?\nAnswer: -424*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 31*i**2 - 64*i + 69. Let y be r(-33). Sort -3, 2, y, -4.\nAnswer: -4, -3, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35016 is divided by 547?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 4*y**4\/3 + 162236*y**3 - 973444*y**2\/3 - 486716*y = 0?\nAnswer: -121679, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*z + 5. Suppose -14 = -5*y + k, 2*k - 5 = -z*k. Solve w + 8 = -y*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -5*v + 4. Suppose 0 = 13*y - v*y + 160. What is the highest common divisor of y and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 8 = -3*p. Let u = -1 - p. Suppose -3*l + 27 = -3*h, u*l + h - 11 = 2*l. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25? (a) 3 (b) -2\/123 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2450 - 2420. Solve -2*b + 5*o = 10, 4*b - 4*o - 22 = -y for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -42, -427, -1464, -3477, -6790?\n\"Answer: -54*v**3 - 2*v**2 - v + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x + 3*t - 17, 2*x + 2*t = 4 - 6 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(((m*m*m**(1\/3))\/m)\/m)*m\/m**(-6))**33 assuming m is positive.\nAnswer: m**253","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 21*z**3 - 314*z**2 - 453*z - 94. Let i(u) = -7*u**3 + 104*u**2 + 151*u + 31. Let r(q) = 3*f(q) + 8*i(q). Factor r(g).\nAnswer: (g - 17)*(g + 1)*(7*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -87*f + 515. Calculate b(5).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6050923, 12101805, 18152687, 24203569, 30254451?\n\"Answer: 6050882*b + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + c + c)*(-c**2 + 2*c**2 - 2*c**2) + (3*c - 5*c + 3*c)*(-c + c - 2*c)*(-936*c - 188901 + 188901).\nAnswer: 1873*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 936 = 5*c + 3*c. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*t - 1280 = 60*t + 42*t - 127*t for t.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10346 (base 9) to base 10\nAnswer: -6846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 0*o = -15. Suppose 2*t = -0*t. What is the common denominator of 35\/9 and (t + -3)*(-22)\/o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11762*g = -11789*g + 648 for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-2*sqrt(605) - ((sqrt(605)*-3 + sqrt(605) - sqrt(605)) + sqrt(605) + -4)) + 0 + -3)**2.\nAnswer: 220*sqrt(5) + 60501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -6*s + 14*s - 3 - 9*s. Let a be n(-7). Differentiate 10 + 93*z**a - 88*z**4 - 3 with respect to z.\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6440 = 21*i - 6251 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 3:52 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 7*q - 15. Let z be (-3 + 4)\/(3\/27). Let l(k) = -2*k - 9. Let y be l(-5). Sort z, y, q in decreasing order.\nAnswer: z, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) 2 (c) 3 (d) -9 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2157\/13 - -166. Which is the closest to v? (a) 2 (b) 0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*-14*(-18)\/189. Suppose -j - 2*m = -7, -z*j - m + 39 = -10. Solve j*l = 6*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 5*o**2 + 3*o + 4 + 4 as p*o + m*o**2 + j and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47 + -45. Suppose 1413 = k + s*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -20457578, -40915174, -61372768, -81830360, -102287950?\n\"Answer: w**2 - 20457599*w + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 8*h**2 + 15*h - 9. Let b be y(6). What is the greatest common divisor of b and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**2\/5 - 1012071288*k\/5 + 64018018249623684\/5 = 0.\nAnswer: 126508911","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/2 + 35*r\/2 + 27108.\nAnswer: -(r - 251)*(r + 216)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -106, 4, -371, -2, 2, -4 in decreasing order.\nAnswer: 4, 2, -2, -4, -6, -106, -371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**0)\/f)**40\/(f**(-1\/3)\/f**4) assuming f is positive.\nAnswer: f**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n = 52 + 28. Suppose -29 = n*d + 3. Sort 1, 3, -2, d in decreasing order.\nAnswer: 3, 1, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1681*-1236.03.\nAnswer: 207.776643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0437901163 rounded to five dps?\nAnswer: 0.04379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3490146 is divided by 461.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60d (base 16) to base 13.\nAnswer: 922","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w. Suppose -262 = -3*p + 2*p. Let z be (p + -4)*(-2)\/(-6). Let j(a) = -a**2 - 86 + z - 4*a**2. Give v(j(m)).\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4314, 8642, 12972, 17304, 21638, 25974?\nAnswer: 30312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 6*j + 1. Let a be s(1). Suppose a = 2*r - 3. Solve 0 = d + 4*q - 3*q - 3, -4*d = -r*q + 33 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**3 - 27*x - 19*x + 47*x + 9*x**4 - 4 - 3*x**2 + 4*x**2 in the form r*x**2 + j*x**4 + p*x + y*x**3 + f and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9, 20, 33, 48, 65?\n\"Answer: i**2 + 8*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61747.61nm to micrometers.\nAnswer: 61.74761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49395 and 2136.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(-x**2 + 0 + 8 - 4).\nAnswer: 2*x**2 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2892?\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*sqrt(24)\/(2*sqrt(392) + sqrt(392) + sqrt(392)).\nAnswer: sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.014 + 0.224. Let j = p + -0.01. Let i be (-19)\/(1026\/(-240)) - 4. Which is the nearest to 2? (a) j (b) 1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 912, 1787, 2638, 3465, 4268, 5047, 5802?\nAnswer: 6533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -27*d - 19. Let p(z) = 7*z - 23. Let c be p(-5). Let x be (-1)\/3 - (-6)\/(36\/c). Is s(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 11*k + 106. Determine r(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = 39*w - 55*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15 + ((-9)\/12)\/(37\/(-444)). Solve 0 = s*a + 13 - 157 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.92 < 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, -3, 27, 0.12, 2\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 13\/349?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -881.2 - -876.2. What is the smallest value in -0.1, d, 1\/6, 3\/7, 15\/11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 7*v + 35 = 5*m, 4 = -2*v + 4*m. Solve -2*i - j - v = 0, -j - 12 = 4*i - 0*j for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1444 - 1444 - 50*a)*(31*a**2 + 35*a**2 - 27*a**2) as b*a + n + i*a**2 + g*a**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/155 and -55\/7?\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -958*j - 2*j**2 + 472*j + 450*j as n*j + y*j**2 + g and give n.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (-10 + (-8 - -19)). Is j >= -4\/201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4*q = 0, -q + 1 = 2*l - 3*l. Let t be (1\/(-2))\/(-3*3\/216). Suppose 16*r - 100 = t*r. Solve -l*a - a = -r for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x. Let m(a) = 24*a. Let z(c) = 8*c. Let t(k) = -k**3 - 6*k**2 + 2*k + 7. Let h be t(-6). Let u(b) = h*m(b) + 14*z(b). Give v(u(o)).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19902 - 2?\nAnswer: -19904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.169746 take away -6.5?\nAnswer: 12.669746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1614878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6438*n**2 - 2688*n?\nAnswer: 12876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 2*s + 40, -19 = 3*s - 4. Let z be (-8)\/24 - (-2)\/r*-4. Solve 4 + z = -5*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-9))\/(62\/279). Let 5\/4*k**t - 1\/2*k - 1\/4*k**4 + 0 + 1\/4*k**5 - 3\/4*k**3 = 0. What is k?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n + 2. Let h be j(6). Suppose 4*x + 0*g = -5*g - 13, 0 = -x + g + h. Let u = -28 + 33. Solve x*i + 3 = 5*k, i + 0 = -u*k - 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*d + 18 = -85, 0 = 3*d - 12. Suppose -j - j + u + r = 0, -5*j = -u - 43. Calculate the remainder when 54 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -919139 divided by -13.\nAnswer: 70703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + q - 9. Let w(t) = -3*t**2 + 4*t - 26. Let v = -146 + 140. Let f(b) = v*w(b) + 17*s(b). Give f(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 778873042?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2.04 times -5\nAnswer: 10.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*h - 75. Let u = 256 - 165. Let p = -83 + u. Calculate the remainder when h is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of 5\/42*b**3 - 1\/420*b**5 - 31\/2*b**2 + 5*b + 0 + 1\/42*b**4. Let x(y) be the first derivative of q(y). Factor x(w).\nAnswer: -(w - 5)*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 174835, 174823, 174809, 174799, 174799, 174815?\nAnswer: 174853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/1736 and 17\/3720.\nAnswer: 26040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 12, -15, -60, -123, -204, -303, -420?\n\"Answer: -9*j**2 + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r - 1. Let p be 8*(-1)\/(1\/(-2)). Suppose 8*z - 4*z + p = 0. What is the units digit of j(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*m + 93*m - 29*m - 31*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 11, c: 3}. Give prob of picking 2 e.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/5 - 804*v**2\/5 - 1614*v\/5 - 808\/5.\nAnswer: 2*(v - 404)*(v + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w. Let c(z) = 17*z + 2. Give c(r) + 6*y(r).\nAnswer: 23*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -0*x + 3*g - 5, 3*x - 4*g = 2. Suppose 5*i - x = 6*i. Let q be 0\/4*(-1)\/i. Solve 0 = -r - 1 - q for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 20 (c) -1884 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand o - 3*o + 4*o + (2 - 2 + 5)*(0*o - 3*o + 0*o) - 3*o - 3*o + 4*o.\nAnswer: -15*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18\/35 and 23\/7051.\nAnswer: 246785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 17 (b) -0.5 (c) 2\/51 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*f**2 + 14*f**2 - 6*f**2 as u*f + m + z*f**2 and give z.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c + 2. Let h be d(0). Let r = 2 + -2. Differentiate -f - h + 0*f + r*f with respect to f.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 a factor of 175853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 424*i - 78759. Determine o(186).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10893*j = 10855*j - 192 - 226 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i - 8. Let d be n(-10). Suppose 6*k - 8 = d*k. Suppose 0 = q + 2*f - 5, 4*q + 5*f - 13 + k = 0. Is q < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14354 is divided by 116?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 + 1342937644*l + 225435189459033842.\nAnswer: 2*(l + 335734411)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -81441 + 242282. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1373748 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15140 * -1.\nAnswer: -15140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -81770 and -81771 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2416, 3, 2\/15, 82, 4\/7?\nAnswer: 2416","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19693198 is divided by 94?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 4*p - 33. What is b(-3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 247112 - 0.5.\nAnswer: 247111.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 5 + 385*s + 0 - 5.\nAnswer: 385*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13078455 by 611.\nAnswer: 21405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z - 27. Let m be r(-14). Solve -2*a = -a - m for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59270.\nAnswer: 2, 5, 5927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-239603)\/(-102687))\/(245\/(-9)).\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 97 (c) -4 (d) -1\/3 (e) -1.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z + 0*z + 2*z**2 + (4*z + z - 3*z)*(0*z - 5*z + 6*z) + 10*z**2 + 0*z**2 - 2*z**2 + (-z + 0*z - z)*(-2*z - z + 4*z) + 4*z - 4*z - 2*z**2.\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 846678 to the nearest integer?\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2535 - 2529. Let q = 238 - 231. What is the smallest common multiple of q and j?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1929 is divided by 92?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 106062810 to the nearest one million.\nAnswer: 106000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10, 1\/47, 0.02?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q. Suppose -2 - 3 = -r. Let v be j(r). Factor -v + 3 - 3*i**2 + i**2 - 4*i.\nAnswer: -2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 6 = -47*q + 50*q, -q + s - 2 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 - 63 = 2*q. Suppose 448 = q*n - 2248. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 5*i**2 - 7*i - 3. Let s be (33\/22)\/((-1)\/4). Let b be t(s). Solve -3*j = -b*o + 2*j, 0 = -3*o - 4*j - 27 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3295521384?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -7*n**2. Let m(b) = -3 - 32*b - 5*b + 82*b + 1 + 118*b. Give c(m(d)).\nAnswer: -185983*d**2 + 4564*d - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2629*g + 4 - 1804*g)*(g - 4*g + 4*g) to the form a*g + j + w*g**2 and give w.\nAnswer: 825","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0279178 rounded to 4 decimal places?\nAnswer: -0.0279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125192, -500841, -1126916, -2003411, -3130320, -4507637, -6135356, -8013471?\nAnswer: -10141976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 106975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-5) - (-36)\/90. Solve d = 4*f - 3 - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 769505?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 - (23 + 1343\/34)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.3 - -0.3. Let p = -0.5 - -1. Let f = 0.4 - p. Which is the closest to f? (a) -5 (b) k (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 14*r - 38. Let z(v) = -2*v**2 + 1459 + v**3 - 1459. Let d be z(-2). Let c be a(d). Let g(u) = -u**3 - 7*u**2 - 5*u - 6. Determine g(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 270 and 8?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 1 = -0, 0 = 3*j + a - 8. Let y = 462 + -452. Solve j*r - 6*r + y = -5*m, -4*m + 3*r = 11 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 1 + 16. Suppose 0*r - 5*r = -y. Suppose r*a = 2*k - 77, 5*k + 5*a = 120 + 110. List the prime factors of k.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v**2 - 3*v**2 - v**2 + 17*v**2 - 13*v**2.\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 5. Let k = 56252 + -4265. Suppose -r = -p + k. Round p to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b - 4*b + 5*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/35784 and -11\/378.\nAnswer: 107352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(900))\/((1*sqrt(21))\/sqrt(7))*5)**2.\nAnswer: 67500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 66.98869 litres?\nAnswer: 66988.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 (base 8) in base 2?\nAnswer: -111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -15*m + 2. Let s(t) = -t**2 + 11*t - 11. Let l be s(10). Let f be x(l). Let b = f + -13. Solve b*q = -q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(96)\/sqrt(4))\/sqrt(3))\/(sqrt(4) + 1*sqrt(100)) + -4*(6*(3 + sqrt(50)) + -1).\nAnswer: -358*sqrt(2)\/3 - 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1347448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.4 - -4.2555. Round x to three decimal places.\nAnswer: -0.145","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 3*p + 5 + 5)*(-9*p + 33 - 33)*((-p - 1 + 1)*(4*p + 26*p - 10*p) + 1 - p**2 - 1).\nAnswer: 567*p**4 + 378*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y + z - 3, -y + 3*z = -3*y + 13 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 482 is divided by 94.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.3782832 and 0.5.\nAnswer: 4.8782832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1167.644 - 52.3.\nAnswer: -1219.944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 5:01 PM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 72*p**2 + 28*p + 28. Let m(d) be the second derivative of -13*d**4\/12 - 5*d**3\/6 - 5*d**2\/2 - 84*d. Calculate -5*b(h) - 28*m(h).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -42*h + 264. Let i be r(6). Solve 0*q = -3*q - i for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k. Let h(j) = 28*j. Let d(y) = h(y) + 6*q(y). Let t(f) = f**2 - 3. Let p(s) = 2*s**2 + 15. Let l(i) = -p(i) - 5*t(i). Calculate l(d(b)).\nAnswer: -3388*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 138 = -2*s - 158, -82 = -5*r - 3*s. Calculate the remainder when 10427 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-112 + 98 - (94 - (-1 - -7)))?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*p = -102*p + 80 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 632619710.\nAnswer: 2, 5, 37, 1709783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9245148 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -x - 16, 2429*m - 2432*m = 5*x - 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10.73 times -0.067\nAnswer: -0.71891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qin when three letters picked without replacement from {f: 5, i: 2, l: 3, j: 6, n: 3, q: 1}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-8)*(-115 + -3)*-13. What is the remainder when 78 is divided by (1 - 2)\/(-3) + a\/(-39)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/11 + 152932*d\/11 - 152934\/11.\nAnswer: 2*(d - 1)*(d + 76467)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/124 and -5\/1046632.\nAnswer: 32445592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**3 + 112*b**2 - 873*b - 76. Give c(-63).\nAnswer: -643","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(12) + -1.\nAnswer: -1 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y\/(y**(1\/35)\/y*y)))**21 assuming y is positive.\nAnswer: y**(-102\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from quufuoquf. Give prob of picking 2 f.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4662*b**3 + 37*b + 66 wrt b.\nAnswer: 27972*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5146*o - 5113*o = 118701. What is the least common multiple of o and 99?\nAnswer: 10791","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**4\/4 + 14105*a**3\/2 + 339147*a**2 - 1441210*a + 1469416 = 0.\nAnswer: -52, 2, 28258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c**3 + 4142*c - 3932*c - c**3 - 3 as g*c**3 + s + p*c**2 + x*c and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-7)*((-8)\/(-2) - -3). Solve o*l = -3*y + 7*y, -3*l = -y for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -4. Let b = -0.45 + 0.6. Let m = 0.15 + b. What is the nearest to z in m, 2\/19, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qgffqfqggqlqgz. Give prob of sequence lg.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d*y**6 - 51513230*d*y**2 + 9747952*y**4 wrt y.\nAnswer: 240*d*y**3 + 233950848*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3700 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + 1. Let j(a) = 1 + a**2 - 3*a**3 + a**2 - 3*a**2. Let r be j(-1). Solve -r*x = -0*x - k for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t**2 - 21*t + 269. Calculate j(12).\nAnswer: 737","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i. Let x(u) = u**2 + 26*u + 101. Let y be x(-21). Let m be ((-1)\/(-3))\/(2\/(-66)). Let t(o) = -2 + 5*o + 0 + 2. Determine m*n(j) + y*t(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 687895\/2468 or 280?\nAnswer: 687895\/2468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + a - 1. Let f be q(-3). Suppose -3*s = 3*j - j - 2, -5*j = 5*s + f. Suppose 5*r - 120 = -5*n, -s*n + 18 + 43 = -3*r. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by ((-42)\/(-1))\/(-6)*-1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 333 - 439 = 0. Suppose 0 = 2*m + 2, -r = 5*o + 4*m + 101. Which is smaller: o or -59?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4864, -4 in decreasing order.\nAnswer: 4864, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85)*-2*-3 - sqrt(85) - sqrt(85))\/sqrt(5) + -1 + sqrt(272) + sqrt(272) + 3 + 0 + sqrt(17))**2.\nAnswer: 52*sqrt(17) + 2877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, l: 5, t: 7, b: 4}. Give prob of picking 1 l and 1 x.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -67*f + 2870 - 5772 + 2796. Let y be z(-2). Solve 4*p = 20 - y for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 + 193 = 6*m. What is the second derivative of -5*s**4 - 46*s**2 + m*s**2 + 4*s wrt s?\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 451 + 149 = 5*l. Let z = l + -130. Find the common denominator of (5\/z)\/((-10)\/(-194)) and -47\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**2 - k**4 + 0*k**2 - k**4 + k**3 + (-3*k**2 + 2*k**2 + 2*k**2)*(-2*k**2 + k**2 + 2*k**2) + k**4 + 3*k**4 + k**4.\nAnswer: 4*k**4 + k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*k + 1416. Let u be -2 - 6*k\/378. Let j = u + 88\/9. Which is smaller: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 134516 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-1)*3\/15*(-10)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 253 + -240. Let r be (-7 + a)*(2 + (-30)\/9). Let k be (-8)\/(-10)*1\/6. What is the third smallest value in 5, k, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -142 + 145. Let p(u) be the third derivative of -u**4\/12 + u**3\/3 + 3*u**2. Let o be p(-5). What is the greatest common divisor of o and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -422, -360, -294, -224?\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 115898776?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2421001794 and 366.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65922.\nAnswer: 2, 3, 10987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -3*p - 1597, -2*l - 2*p - 202 = -828. Suppose -993 - l = -2*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + x + 110 = 0, -5*x + 6*x - 415 = 4*q. Let a = 148 + q. What are the prime factors of a?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -140*p**2 + 68*p**2 + 55*p**2 - p + 2*p**3 to the form y*p**3 + h*p**2 + o*p + z and give h.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**11*c*c**(-4))**42)**0 assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/20 - -1\/5. Let s = -2147 - -4199\/2. What is the common denominator of o and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -8. Let g(r) = 3*r + 22. Let h be g(j). Suppose f = 5*x + 22 + 1092, -3*f + h*x + 3309 = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-156)\/90)\/13)\/(0 + -6 + 5).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 3*u**4\/8 - 123*u**3\/4 - 759*u**2\/8 - 255*u\/4 = 0.\nAnswer: -2, -1, 0, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10\/8*(-14 + -6)*-9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 6. Suppose 41 = k + y. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/160 and -21\/77536.\nAnswer: 387680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1723946131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328597451?\nAnswer: 7, 13, 3610961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**5 - 195*o**4 - 3565*o**3 + 9075*o**2 + 28040*o + 15600 = 0. Calculate o.\nAnswer: -15, -1, 4, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-11 + 2)*6. Let l = v - -6. Suppose l*f - 5 = -f. Is f greater than or equal to 1\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12619065 is divided by 74?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-6)*u\/(u**9*u*u))\/(u**(-1))**(-18) assuming u is positive.\nAnswer: u**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/7, 94511, -4\/17?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*h + 7*h - 19*h - 40*h.\nAnswer: -85*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6499 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 114\/(-456) + (-1272)\/(-160) + 4\/5. Factor -i*o**2 - 7\/2 + o**3 + 11*o.\nAnswer: (o - 7)*(o - 1)*(2*o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58780 less than 58778?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i - 33*a + 52*a - 24*a - 125, a = -4*i - 25 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of d**6\/60 - d**5\/20 + d**4\/24 + 3*d. Factor h(r).\nAnswer: r**2*(r - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 233 + -144. Let d = -85 + a. Solve s - d*s = -3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = j - 8. Let o(y) be the second derivative of 0*y**3 + 1\/3*y**4 + 9\/20*y**5 + 0*y**j + 0 - 7*y. Find the third derivative of o(f) wrt f.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 31 + 22. Let h(w) be the second derivative of -2\/9*w**2 + 1\/90*w**5 + 0 - 1\/27*w**j + 1\/27*w**4 + 2*w. Factor h(p).\nAnswer: 2*(p - 1)*(p + 1)*(p + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1647 - 47*n + 1647 + 1 - 1 - n + (2 - 1 + 0)*(n + 0*n + n) - 2 + 2 + 2*n + 1 + n - 1)*(0 + 0 + 2).\nAnswer: -86*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3974100 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 152, -2, 1, 5, -9 in increasing order.\nAnswer: -9, -2, 1, 5, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 555*p**2 + 1361*p - 1. What is w(-4)?\nAnswer: 3435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-10) + 64\/20. Suppose -x*s = -3*p - 36, 0 = -s - 5*p + 39 - 9. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, k: 3, g: 3, d: 1, c: 6}. What is prob of sequence cdc?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 1)*(4*r + 7*r - 3*r)*(-1 + 2*r**2 + 1).\nAnswer: 48*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/11228 and -53\/26.\nAnswer: 145964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 0*p - 5*p + 2*p - 9*p - 5*p + 72. Let n be d(4). Solve 3*h - n*s = -2*h + 22, -h + s + 5 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34648 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -0.3, 3.505, 0.2, -0.01, -1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/34 + 97\/170. Suppose 19 = -5*c - 2*l, c + 2*l = -1 + 2. Let h = 7 + c. Is f > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**3\/4 + 135*q**2\/2 - 3*q\/4 - 135\/2 = 0.\nAnswer: -90, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 1:46 AM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 - 2)*(-2 + 2 + d)*(d - d + d)*(-4 - 14*d + 3*d + 5) as z*d**2 + a*d**3 + k*d + b and give a.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3207 by 77.\nAnswer: -3207\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**0)**(-36)\/(s**(-3))**(4\/3))**11 assuming s is positive.\nAnswer: s**(-352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 + 18)\/(-75) + 5 - 2\/(-10). Factor -1\/4*u**y + 0 + 1\/4*u + 0*u**3 - 1\/2*u**2 + 1\/2*u**4.\nAnswer: -u*(u - 1)**3*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 493395579.\nAnswer: 3, 157, 349183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/31 (b) 3 (c) 0 (d) -8 (e) -1 (f) 1313\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 25\/2 of a milligram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -17, -7, 21, 73, 155?\n\"Answer: n**3 + 3*n**2 - 6*n - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 434377077 to the nearest integer?\nAnswer: 20842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7380 divided by 20\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k*k**(-1\/3)))\/k)**(-2\/55))**19*((k\/(k\/k**4))**2)**12 assuming k is positive.\nAnswer: k**(15916\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + h + 0*h)*(h - h - h) + (1 - 2 + 5)*(0*h**2 + 2*h**2 - h**2) + h**2 - 2*h**2 + 0*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 631 (c) 33858\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 486604045 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 793663, 3174733, 7143193, 12699037, 19842259?\nAnswer: 28572853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*m + 17 + 7 = 0, b - 12 = m. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*f**2*g + 29*f**2 + 13*f*g + 4291*g wrt f.\nAnswer: -6*f*g + 58*f + 13*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 53310 and 70.\nAnswer: 373170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 1549 = 2*t + 1534, 0 = 5*z + 2*t + 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 10*q**3 + q - 25 - 11 + 43 - 3*q**3. Let p(d) = d**3 + 6*d**2 - 8*d - 8. Let r be p(-7). Let g(a) = -a**3 - 1. What is r*c(y) - 6*g(y)?\nAnswer: -y**3 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14402*k**3 + 14483*k**3 - 43462*k**3 + 14435*k**3.\nAnswer: -142*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1428696*-0.4\nAnswer: 571478.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -182033?\nAnswer: 1\/182033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 2*b - 77 = 0, 50810 = -0*c - 2*c - b + 4*b + 50929 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -2) + (8 - 15) + 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*z)*(-5*z + 2*z + 4*z) + (3*z**2 - z**2 - z**2)*(-2 + 4 - 1) - 2*z**2 - z**2 + z**2 + 83 - 119*z**2 - 83.\nAnswer: -122*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1017 + -1019. Which is the nearest to 0? (a) -5 (b) 4\/7 (c) 0.1 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 219?\nAnswer: 1533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12452 and 0.3?\nAnswer: 3735.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1489914042735\nAnswer: 1489914042734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 121, 490, 1179, 2266, 3829?\nAnswer: 5946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126492 and 237048?\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1035, 2, 0, -190 in decreasing order.\nAnswer: 1035, 4, 2, 0, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 340751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 63 + -60. Suppose -a*k = -h - 14, -5*h = -k + 1 + 27. Let o(r) = -25 - 2*r + k*r + 26. Determine o(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1297 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/sqrt(81) - sqrt(2)) + (sqrt(64)\/sqrt(4))\/sqrt(8).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*m + 4 = 0, 8 = -h + 5*m + 23. Suppose 2*a - h*l - 1048 = -0*a, -2*l + 1048 = 2*a. Suppose 3*i - 7*i + a = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1920*k**3 + 1306*k**3 + 1557*k**3 - 670 + 670.\nAnswer: 4783*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -2\/15, -1.164 in descending order.\nAnswer: -2\/15, -1\/3, -1.164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -205229265 and -20.\nAnswer: -205229285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/6 - (-63)\/6. Suppose 2*s = -2*u + a, -3*u + 0*u + 3 = -s. Suppose -u*g - 9 = -5*g. Solve 0 = 2*y + g*y - 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07463001 to three decimal places.\nAnswer: 0.075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/5 + 2*w**2 + 23*w\/5 + 12\/5.\nAnswer: -(w - 12)*(w + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*(a\/a**(-2\/5))\/a*a)*a**(-4)*(a**(-1\/2))**16)**(-3\/2))**(-5) assuming a is positive.\nAnswer: a**(-201\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -1 + 22 + (40 - 77)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 1)\/((-20)\/(-8) + -3). Differentiate -4 - 9*t**o - 22 + 16*t**2 + 13*t**2 with respect to t.\nAnswer: 40*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -2\/5, 20?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36541982 is divided by 3591?\nAnswer: 3557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 l, and 2 h when four letters picked without replacement from {h: 3, r: 1, l: 1}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89653, 358656, 806985, 1434622, 2241549, 3227748, 4393201, 5737890?\nAnswer: 7261797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 43740 divided by 270\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*g - 3 - 33. Suppose -5*v + 2215 = 3*t, -g*v + t + 1329 = -t. What are the prime factors of v?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 + -31.6. Let n(k) = 3 + 0*k**2 + 3*k**2 - 2*k**2 - 4*k - 5. Let x be n(4). Which is the third smallest value? (a) -0.2 (b) x (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 212273.\nAnswer: 4\/212273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39950 is divided by 2462.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1665 is divided by 88.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/6 + 2\/(-6) and -2*869\/66 - (-21 + 10).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - -7 - (0 + -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 0 + 0 + (-i + 3*i + 0*i)*(2 + 3 - 6))*(-i**3 - 4 + 4).\nAnswer: 3*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-5 + sqrt(405)))**2 + 1.\nAnswer: -2250*sqrt(5) + 10751","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 13*l - 4. What is the tens digit of j(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 5223*w**3\/8 + 5*w**2\/2 - 10446*w - 40 = 0.\nAnswer: -4, -20\/5223, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -6 - 1 + 3 + g**3 - 7*g**2 - 3 + 9*g. Suppose -28 = -11*l + 7*l - v, l + 2 = 2*v. Determine m(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 10:12 PM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 174072746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 546 and 2130?\nAnswer: 193830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p, 1 = -5*x + 4*p + 6. Let i = x - -3. Factor i*y + y**3 - y**2 - 7 - 6*y + 7.\nAnswer: y*(y - 2)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-2))\/a**2*a*a*a\/a**0*a\/(a*a**(1\/5)) assuming a is positive.\nAnswer: a**(19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*k + 35178 = 0, 3*u - 5*k + 8*k = 52767. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 438, 900, 1398, 1932?\n\"Answer: 18*i**2 + 408*i + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/6)\/((-3)\/(-675)*-5))\/(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4254504063 to the power of 1\/2, to the nearest integer?\nAnswer: 65227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (49\/(-196))\/(((-3)\/60)\/(-1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 297378 and 2679.\nAnswer: 265558554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9ad47b (base 15) to base 10.\nAnswer: 7385516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 + -0.1. Let x = 225.1 + -225. What is the second biggest value in n, x, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46382*y**2 + 9278*y**2 + 9277*y**2 + 9273*y**2 + 9286*y**2 + 9283*y**2.\nAnswer: 15*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/9)*m*m*(m**5\/m*m)\/m)\/((m\/(m\/m**(1\/3)))\/m)**(2\/13) assuming m is positive.\nAnswer: m**(701\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -5*p + 1. Let a be z(-4). Let h(x) = 9*x + 8. What is the units digit of h(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 470902483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(4\/5))*q*q**(4\/3)\/q*q*q*q*q)**(-47) assuming q is positive.\nAnswer: q**(-3196\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1319689100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 80?\nAnswer: 7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.611*0.1\nAnswer: -0.0611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1552 = -16*z + 1616. Solve -87 = -z*v - 99 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.5 * -147.02.\nAnswer: -220.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.97 + -3.0061. What is c rounded to 3 dps?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-17)\/(-85)*8 - (-1 + (-9)\/(-15)). Let v(k) = 3*k - 11. Let b(j) = j - 1. Let q(u) = -3*u - 1. Let m(l) = 4*b(l) + q(l). What is w*v(h) - 5*m(h)?\nAnswer: h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 13) in base 12?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -54, -592, -1130, -1668?\n\"Answer: -538*j + 484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 35872968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-16)*-2*0\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76 - -1001. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + -4 + -4 - 1457\/(-7). Let l = -58407\/287 + b. What is the common denominator of 14\/9 and l?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.167 from 1210512712.\nAnswer: 1210512712.167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 949 is divided by 880?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 286963*a**2 + 129211*a wrt a.\nAnswer: 573926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101111011 (base 2) to base 11.\nAnswer: -315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 44.4891334 to 2 dps.\nAnswer: 44.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.75 + -55.75. Let s = -36 - t. Let a = -16 + s. Sort 5, -3, a in decreasing order.\nAnswer: 5, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234*b - 321*b = -1044 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 11*n**2 + 2*n. Let a be z(2). Suppose 0*b - 4*b = -4*w - a, -w = 5*b - 60. Suppose -b - 2 = -2*d. Solve -d*p + 2*p = 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) + sqrt(130) + sqrt(130) + (sqrt(130)*-3 + sqrt(130) + sqrt(130))*4)\/(sqrt(110)\/sqrt(11)*6))**2*-6*-5.\nAnswer: 65\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1987, -10237, -24753, -45535, -72583, -105897, -145477?\n\"Answer: -3133*x**2 + 1149*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 666.2197 tonnes to micrograms.\nAnswer: 666219700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 + -3 - (-14)\/(-5). Which is the nearest to 1? (a) p (b) 0.3 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 16*i + 42. Calculate w(14).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(2\/7)*q*q)\/q**(2\/13))\/(q**5*(q*q*q**(-2\/11))\/q))**(-1\/4) assuming q is positive.\nAnswer: q**(1845\/2002)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 4:48 AM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 0. Suppose -g*y + 3*d = -12, 3*y + 1 = -0*y - 5*d. Suppose 2*p + 2*j + 9 = -y*j, -3*j - 39 = -3*p. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 2 + 1 - -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 1 = 7. Suppose 2*v - 3*i = 16, i - m = 2*i. What is the third derivative of -2*w + w**v - w**2 + 2*w wrt w?\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 13*v**2 - 7*v + 5. List the prime factors of f(2).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60 by 60.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.04 (b) 204 (c) -5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139777 is divided by 69432?\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -5*h - 9, -4*r + 0*h + 41 = 3*h. Let u be -12*((-175)\/(-70) - 3 - (1 + -1)). Solve u*y - 10 - r = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -4, -5, 5, 71, 3647, 1 in increasing order.\nAnswer: -26, -5, -4, 1, 5, 71, 3647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**3 - 16*t**2 + 12*t + 28. Let n = 136 - 123. Is k(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2. Let g = 7 - 5. Let z(j) = 3*j**g - 2*j**2 - 6*j**2 + 0*j**2. Give z(d(t)).\nAnswer: -5*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/7 (b) -2 (c) -3064\/17 (d) 5 (e) -5 (f) -64 (g) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 11 = -2*w. Let x(v) = v**3 - 6*v**2 - 11*v + 122. Let m = -630 + 636. Let u be x(m). Calculate the highest common factor of w and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*x + 750 = 1713 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2171*l**3 - 47387*l**2 wrt l.\nAnswer: -13026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 8*p**2 - 13*p + 57. Give l(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5\/4 - 51\/44. What is the third biggest value in g, -2, 5, 1\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of 224*w**6\/15 + 17*w**3 - w - 278. Find the second derivative of d(p) wrt p.\nAnswer: 5376*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -8*a + 6. Let h be f(3). Let t = 21 + h. Let g(i) = -i - i**2 - t*i + 3*i - 7. Determine g(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 300394, 600788, 901182, 1201576, 1501970?\n\"Answer: 300394*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.01 - -0.0099988. Round d to seven dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 23*j**2 - 17*j - 5. What are the prime factors of u(22)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 202 + -179. Solve -2*i - 4*z - 7 = -9*z, -5*i + k = z for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*q + 3*q = -7, -q = -3*c + 31. What is the highest common factor of 16 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2160029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 2\/11, -17710, 5, -0.3, 0.02, -5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*(r*r**(-1\/3)*r)\/r*r)\/r)**(-1\/47))**(1\/48) assuming r is positive.\nAnswer: r**(-1\/846)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-24)\/32 + (-5598)\/(-3496) - 4. Let w = -355441\/23 + 15457. Let n = w + p. Is 0 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-5 - -5) + 1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g - 22. Let h be f(15). Which is smaller: h or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixi. Give prob of sequence xi.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - (6 + 3 + 31)) + (-2 - -11).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19650865 or -19650874?\nAnswer: -19650865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.54, 1\/5, 0.9, 4 in increasing order.\nAnswer: -0.54, 1\/5, 0.9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1587\/(-4232) + 42\/(-16).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -6. Let d = o + 2.2. Let m = -18 - -17. Which is the nearest to m? (a) -3\/8 (b) -1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = -4 + 60. Calculate the common denominator of 93\/50 and ((-106)\/(-150))\/(z*(-14)\/(-147)).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + (-13 - -71) + (-7 - -28)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2601)\/12)\/(24\/(-64)).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 5*d**2 - 2*d + 2. Let c be (-2)\/6 + 10\/3. Suppose -r = 2*l - 3*l - 8, -9 = -2*r - 5*l. Calculate the remainder when m(c) is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 10, 25 = -6*f + 11*f - 3*a. Let t(r) = 5*r**3 - 1. Let p be t(1). Let l be ((15 - 2) + 1)*p. What is the highest common factor of l and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fkk when three letters picked without replacement from {f: 1, s: 3, c: 1, y: 3, k: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/93637 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*p - 23 = 229 - 31 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 66 - 6. Suppose -3*x - 2*d = -o, -x + d = -0*d. Factor -3*j**4 - 2*j**2 + 4*j**x + j**4.\nAnswer: 2*j**2*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 7 + 5. Solve g = i - 2*x, 3*x - 3 = -3*i - 12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*(-2 + 15\/9). Suppose 0 = -o*d - 4*u + 201 + 67, -3*d = 4*u - 404. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 34*z - 126. Suppose 4*d = -5*x + 178, 2*d - 68 = 3*x - 144. Give n(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*t - 25*t = -11*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -147, -866, -2737, -6336, -12239, -21022, -33261, -49532?\n\"Answer: -96*l**3 - 47*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -13, -5, 9?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 + -42.9996. Round p to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/14 - 428\/112 and 37\/28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19779440389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 217?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -511 or 4?\nAnswer: -511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63748 = -2*a - 4*x, -a + 306*x + 31859 = 305*x. Is a a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 11575 = -2*q, -3*k - 2*q + 38784 - 4051 = 0. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - c = 1267, -13*k + 2093 = -8*k + 3*c. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 3) + (-5 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14335 - -32524?\nAnswer: 50162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 245 + -519. Let b = -116 - v. Let i = b + 1203. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k + 105. Determine h(2).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 - 30. Suppose l = 3*c + 5*n - 129 + 44, 5*c = -2*n + 129. Solve -a + c = 4*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i**3 + 5*i**2 - 5*i + 14. Let y(q) = -q**3 - q**2 + q - 1. Let s be (-1)\/(8*15\/(-120)). What is s*c(f) + 5*y(f)?\nAnswer: -f**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5446\/2334*((-2)\/(-259))\/1?\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 4*b - 13 = 0, -3*b + 4*b = 4*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 5:00 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 7) to base 15.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 262341?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00091459048 rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -213 - -249. Let c = 46 - q. Solve -20*t = -22*t + c for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51\/2*(10 - 8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of 17*j**9\/60480 - j**8\/20160 - j**5\/30 - 2*j**2. Let b(k) be the third derivative of d(k). What is the tens digit of b(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 - 9. Let u = -35 - -83. Let c be x\/(-3)*u\/(-32). Solve i = 5*i + c for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 2*c + 22 = 6, -5*c = -3*t - 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-6\/29)*u**(-1\/30))**(-20))**(2\/73) assuming u is positive.\nAnswer: u**(836\/6351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21144100 (base 6) to base 3.\nAnswer: 1011112000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001401087 to 5 dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*1\/(-2)*163. Let s be (54 + 2)*(-9)\/(-6). Let p = k - s. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t. Let i(o) = 138*o. What is i(d(c))?\nAnswer: 414*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*b + 14 = b, -6 = 3*a + 4*b. Solve -3*w - 19 = -5*i, -5*w - a*i + 4*i - 19 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6509192 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 10*m - 5*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 3*a - 2. Suppose 0 = 4*s + c + 13, 5*s + 5*c + 25 = 2*c. Determine o(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5 = -5*i, -b + 3*b = 5*i - 20. Suppose -r = -i*r + 114. What is r rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) 15 (c) 0 (d) 0.19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5928\/187 + -350\/11. What is the second smallest value in -0.2, 2\/7, -0.45, r, -0.5?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -757 + -7680?\nAnswer: -8547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 72992 smaller than 72974?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in months?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -218, -78 in descending order.\nAnswer: -1, -3, -78, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a hour?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/152 and -23\/760.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*b**3 - 21*b**3 + b - 2*b to the form p*b**3 + h*b + u + a*b**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/200 and -57\/16.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 132 and 198?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*x + 71. What is the tens digit of 6\/x - 157\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1365819137?\nAnswer: 1365819137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 + 1. Let k be -3 - (-9)\/4*2. Put k, 1\/4, j in ascending order.\nAnswer: j, 1\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x - 4. Let r be -5*(0\/(-1) - 1). Let t be (36\/(-10))\/(18\/(-60)). Suppose -5 = y, -t - 19 = 2*o + 5*y. Let z(s) = s - 7. What is o*z(p) + r*c(p)?\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50625056 to the nearest integer?\nAnswer: 7115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 58*h**3 + 597746*h**2 + 1540077110*h - 53106818 = 0. What is h?\nAnswer: -5153, 1\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 107883653 and 8047?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 529626915 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 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: Expand (-2*b + 4*b + 0*b + 0*b + b - 3*b + (4*b - 3*b - 3*b)*(2 + 1 - 2) + 7*b - 3*b + 2*b - 4*b + 2*b + b)*(-2*b**2 - 4 + 1 + 1).\nAnswer: -6*b**3 - 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -10*(-3)\/24*-4. Sort a, 3, -3 in increasing order.\nAnswer: a, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 7. Suppose 2*n - 3 - 1 = j. Is (-20 - -142)\/(n\/7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 977235531 and 2907.\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 - 7781150*p + 560268720.\nAnswer: -5*(p - 72)*(p + 1556302)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 7 = g, -2*b - 5*g - 6 = 10 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.3387075km?\nAnswer: 338.7075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 3*l + 2*l, 3*b - 4*l - 35 = 0. Solve b*w - 2*u + 19 = 0, -2*w = -4*w - u - 4 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xrxxrrxrrrrxrr. Give prob of picking 1 x and 3 r.\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k\/(k\/(k*((k**6*k)\/k)\/k*k))))\/((k\/(k\/(k**(1\/6)*k)))\/k*k*k*k*k)*(k*k\/(k*k**(1\/2))*k*k)\/k*k**(1\/3))**(-12\/13))**(-2\/11) assuming k is positive.\nAnswer: k**(-200\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7371 - 2927. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -72 - 168. Let s be -3*1 - x\/(-16). Let l(m) = m**2 - 11*m + 3. Let w be l(s). What is the highest common divisor of 135 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 5\/4*m**4 - 1\/4*m**5 + 0 + 0*m**3 - 10*m**2 - 7*m. What is x in h(x) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3 + 1 - 3 + l. Suppose 0 = -0*x + 4*x. Let q be z(x). What is the highest common divisor of q and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 64.17201 years?\nAnswer: 6.417201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*m - 66 = m, 0 = -5*m - 5. Which is the second biggest value? (a) 4 (b) -4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o + 8. Suppose 5*y - 4 + 34 = 0. Let w be i(y). Suppose 3*m - 7 - w = -z, z - 11 = -m. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxdnx. Give prob of picking 1 n and 3 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 6.2. Let i = w + 2.5. Let a = 0.4 + i. What is a rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -8*p**5\/9 + 782*p**4\/3 - 23138*p**3\/9 - 6422*p**2\/3 + 6226*p\/9 = 0.\nAnswer: -1, 0, 1\/4, 11, 283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -5326*k + 255678. Calculate p(48).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in 57, -2\/9, 163, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 327 and 4.\nAnswer: 1308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23\/21 + -1 - ((-2415812)\/30723 + 79).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 67*q**3 - q**2 + 1. Suppose -4*r = 2*f + 2, -3*r = -f + 5*f + 9. Is m(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 177 = -4*d - 43, -d = -3*u - 44. Suppose -6*i + d + 25 = 0. Find the first derivative of 3*o + 6*o + i*o - 14 wrt o.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1567\/21 + -219\/7. Let j = y - 42. Factor 1\/3*u**2 + 0*u + u**4 + 0 - j*u**3.\nAnswer: u**2*(u - 1)*(3*u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 5*n, 47*n - 48*n - 9 = -j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.15 - -7.15. Let k = t + -3. Which is the nearest to 2\/3? (a) -3\/5 (b) -1\/5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/15*10*-3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29221 - 8011 = 606*k for k.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3112178 millennia to years.\nAnswer: 311.2178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-180))\/((-12)\/45 + (-9)\/720*-8).\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.18941*413.\nAnswer: 78.22633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1900 - -1903. What is the third biggest value in 34, v, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 31 = 3*t. Let o be ((-10)\/t)\/((-9)\/36). Solve -4*q + 4 = o*i - 2, 5*q - 3*i - 26 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**4 - d**3. Let n = -73 - -77. Let o(r) = -12*r**4 + 4*r**3 + 42*r. Let g(i) = n*s(i) + o(i). What is the second derivative of g(q) wrt q?\nAnswer: -192*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1292752 divided by -13?\nAnswer: 1292752\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 319.0451 + -319. Round n to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -k**7\/30 + 7*k**6\/60 - 451*k**4\/24 + 2*k**2 + 70*k. What is the second derivative of q(z) wrt z?\nAnswer: -84*z**2 + 84*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1851990 times -0.4?\nAnswer: -740796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 8*o**3 + 368*o**2 + o + 9. Determine m(-46).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 22979 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooopooppopoppoooopo. Give prob of sequence po.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5128, -20472, -46026, -81772, -127692, -183768, -249982, -326316?\n\"Answer: 3*i**3 - 5123*i**2 + 4*i - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10d88c (base 14) in base 13?\nAnswer: 171a63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z**3 + 13*z**2 + 9*z + 11. Let y(r) = 2*r + 6*r**2 + 2*r - 13*r**3 + 5 + 7*r**3 + 4*r**3. What is -6*o(p) + 13*y(p)?\nAnswer: -2*p**3 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2677 < 16055\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 91.1937 millilitres?\nAnswer: 0.0911937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3172.416um in kilometers?\nAnswer: 0.000003172416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 7)*(-4 + 4 - 2)*(-m**2 + 0*m**2 + 2*m**2).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 3*z + 14 - 12, 3*z - 6 = 0. Sort 0.5, m, -2\/7, -2\/59.\nAnswer: -2\/7, -2\/59, 0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u\/(u*u*((u**(1\/25)\/u)\/u)\/u))*u*u*u**(-2\/15)*u*(u**(-1\/3)*u)\/u**(2\/9) assuming u is positive.\nAnswer: u**(529\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -o**6\/24 - 5*o**4\/12 + 4*o**2. Find the second derivative of s(t) wrt t.\nAnswer: -30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16716012 to the nearest integer?\nAnswer: 4089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r. Let v(l) be the second derivative of 0 + 1\/6*l**4 + 0*l**2 + 2*l + 0*l**3. Calculate v(d(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-18)\/12)\/(1\/2). Let y(c) = -c**3 + 4*c**2 - 4*c + 1. Let g be y(3). Is g bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (-1)\/(-2)*-4. Solve 2*a**5 - 2*a**4 + 0*a**5 - 4*a**5 + 2*a - 2*a**4 + c*a**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qpuueeqfx. What is prob of sequence uu?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 0*h**3 + 0*h**2 + 11\/10*h**5 + 17\/12*h**4 + h + 0. What is the third derivative of t(u) wrt u?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 14 + -8 + -5 + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6065)\/35 + (4 - 1). Let l = -170 - w. Let r be 26\/(-36) + (-2)\/(-4). Which is the nearest to l? (a) 2\/7 (b) -4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3 + 2535*z**2 - 83390*z.\nAnswer: 5*z*(z - 31)*(z + 538)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -4*h + 5. Let v(q) = -3*q + 4. Suppose -2 = -30*i + 31*i. What is i*x(m) + 3*v(m)?\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -2. Suppose -l*a = p - 5, 2*a + 11 - 1 = -4*p. Let q be (a - 8)*2\/(-10). Solve 0 = 3*y - 4*y + q for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-2*(sqrt(99)*2 - sqrt(99)))\/(1*sqrt(1296)) + sqrt(1100) + (sqrt(1100) + -1 + 4)**2)*4.\nAnswer: -8872 - 1676*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 3*f - 12 = 0, 4*c - 55941795 + 55941815 = -5*f for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 u when two letters picked without replacement from {u: 2, g: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 4*z + 6. Let m be o(-13). Let b = -49 - m. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**3\/2 + 133*g**2\/2 - 135*g = 0.\nAnswer: -135, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 262 = -3*j - s, -4*j + 353 = -5*s. Let i be (1 - (1 + 1))*-58. Calculate the greatest common factor of i and j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*c**2 - 13*c**2 - 1 - c**2 + 4*c**3 + 3*c**2 + c**4 to t*c + o*c**4 + i*c**2 + x + z*c**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 2*d + 4, 0*m + 3*m = -5*d for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6115.3 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 31, 8, -45, -140, -289, -504, -797?\n\"Answer: -2*d**3 - 3*d**2 + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4*(sqrt(104) + 6*1*sqrt(104)))\/((sqrt(8) + sqrt(64)\/sqrt(2) - sqrt(8) - sqrt(8)) + sqrt(8) + 4*1*sqrt(8)).\nAnswer: 56*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1180 and 48060?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, e: 11, z: 5}. What is prob of sequence zyye?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - 2. Let k be w\/4 + (-2)\/(-4). Round k to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61 (base 11) to base 2.\nAnswer: -1000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1003465 = 25*p - 170965. Round p to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -10. Let k = -3.9 - n. Sort 2, -0.2, k in descending order.\nAnswer: 2, k, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2 + q + 2. Let v be s(-5). Suppose 166 = 5*d - o, d + 4*o - v = 3. What is the units digit of (-6 - -9)\/(6\/d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26247.0003 - -26247. What is r rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5219479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*a**3 + 141*a**2 - 225 - 141*a**2.\nAnswer: -12*a**3 - 225","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5323, 10650, 15977?\n\"Answer: 5327*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*p - 24 = -16*p. Let u be p*(7 + 816\/(-117)). Is 0 less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 13*f + 72 = 0, 3*h + 1748 - 1763 = 6*f for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2085979 rounded to 4 decimal places?\nAnswer: -0.2086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.46483 to one dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*p - 19*v + 21*v, -2*p = 4*v + 26 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 738.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -r**7\/120 - r**5\/120 + 5*r**3\/3 - 7. Let v(n) be the third derivative of j(n). Find the second derivative of v(l) wrt l.\nAnswer: -42*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -1216 - 948*b + 610 + 608 - 3595*b - 3053*b. Let n(h) = 2*h**2. What is x(n(r))?\nAnswer: -15192*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -1\/19 (c) -1 (d) 0.4 (e) 167\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 877880221355 - 877880221355 - 4*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 61, -2\/9, 0.2, -5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) -14\/5 (c) -2\/7 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 224.03019 months to decades.\nAnswer: 1.86691825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25770?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -19, -4, -318 in ascending order.\nAnswer: -318, -19, -4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4386492 by 41382.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i**3 + 2884*i**2 + 1908452*i - 251328448 = 0. Calculate i.\nAnswer: -1498, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10305430 plus 534?\nAnswer: -10304896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 - 785.257992825.\nAnswer: -775.257992825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + b + 14 = -3*b, -3*b = 15. Suppose 5*d = 9 + 16, g*w = -4*d + 59. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113958?\nAnswer: 2, 3, 13, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m - 7*u - 153, 1713*m = 1708*m + u + 44 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/24 and 127\/126?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of 0*h + 1\/6*h**4 + 0 + 18*h**2 + 0*h**3. Let s(r) = 2*r. Determine 2*b(g) - 6*s(g).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 + 22.4. Let w = 11\/6 + -7\/3. Suppose 4*c - 12 = c. What is the biggest value in c, w, g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-9 - -4 - (-2 - 1)) + 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 10:36 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/314 + 2031\/3140. What is the common denominator of -23\/36 and t?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -332626 + -9550.81304.\nAnswer: -342176.81304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-1611.\nAnswer: -3222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**2 + 2*u**2 - 4*u**2 + (4 - 4 - u)*(0*u + 3*u - u) + 39*u**2 - 236 + 64*u**2 - 104*u**2.\nAnswer: -5*u**2 - 236","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 36\/349 and (-248)\/6*67\/268.\nAnswer: 1047","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-21))\/((-59)\/1239). Solve -3*a + 2 = -z*g - 10, 0 = 4*g + 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -6*p**2. Let s(v) be the third derivative of v**7\/2520 - v**5\/15 - 2*v**2. Let f(w) be the third derivative of s(w). Determine f(n(d)).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-5))\/((-1)\/(-30)). Let o(q) = q**3 + 11*q**2 - 16*q + 8. Let i be o(m). Calculate the highest common factor of 8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -6*q + 2*q - 12, -5*i - 4*q - 26 = 0. Let h be 4 - 0 - 4 - i. Solve -h*w - 2 = -4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/6)\/(63\/(-189)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.91036nm in meters?\nAnswer: 0.00000004291036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 37 - 5 = 0. Let g = -18 - k. Suppose 0 = 5*b - g - 1. Solve -7 = -y + 2*a, 4*a - 3*a = -b*y + 24 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/5, -3, -34474?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -875596.143 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 3*k**5\/20 - k**4\/3 - k**3 + k**2 + 49*k. Let r(v) = 2*v**3 - 3*v**2 - 5*v + 1. What is 3*l(w) - 4*r(w)?\nAnswer: w**3 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -5*p. Let z be h(1). Let l be 39\/(-12) - 3\/(-12). Let d = -4 - l. Which is the second smallest value? (a) 1\/3 (b) d (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 7*t**2 - 2*t + 6 + 2 + 0 + 2. Let d be a(9). Round d to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 14 + 1 = -5*n, -4*n - 5*o = 12. Let u be n\/(-18) + 87\/18. Let d = 9 - u. Solve -5*r - a = -3*r + 7, -5*a - 23 = d*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of b**3\/6 + b**2\/2 + b. Let r(g) = 3*g + 2. Let s(p) = 4*p**2 - 7*p - 1314. Let c be s(19). Determine c*r(t) + 6*l(t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23312786 is divided by 42005?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33931 - 19316. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1797 <= -1797?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 60 + -141. Let z = r - -21. Let i be (z\/(-2))\/((-6)\/(-6200)). What is i rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 5:17 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2 + 0*i**2 - 4*i - i - i**2. Let p(d) = -3*d - 80. Let b(z) = -4*z - 49. Let f be b(-6). Let y be p(f). What is l(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 14.6. Let d = 3 + k. Let z = -19 - -22. Which is the closest to 0.1? (a) d (b) z (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/8502 and -5\/806.\nAnswer: 263562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -63\/710074?\nAnswer: -63\/710074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -3*u - 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - (0 + -3 + 4). Suppose m + 3 = -y, 5*m + 63 = 4*v. Calculate the highest common factor of v and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 31008\/18*54\/(-12). Let c = l - -11006. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -143 divided by 13.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 461*m + 23504. Give y(-51).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -128 + 127.55. Let a = -2.43 - u. Let p = 2.477 + a. Round p to 2 decimal places.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.4 + -3. Suppose 0 = -17*y - 76 - 9. What is the third biggest value in -1, z, y, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3584191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93553 is divided by 18518?\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30963.17 grams to milligrams.\nAnswer: 30963170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.57091cm in millimeters?\nAnswer: 735.7091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2321c (base 16) to base 14.\nAnswer: 3a628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -13918056 divided by -6\nAnswer: 2319676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - q = 41, 0*q = -q - 5. Let g be 4\/18 - (-32)\/f. What is the third derivative of -4*i**2 + 3*i**2 + i**4 + 0*i**g wrt i?\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/26? (a) -2\/11 (b) 0.2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1781 to 3 decimal places.\nAnswer: 0.178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 40*m**2 - 183*m + 82. What is h(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**0)**(3\/49))**(23\/5) assuming u is positive.\nAnswer: u**(69\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a meter in millimeters?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44.717 + 0.317. Let c = a - -41. Round c to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**3 + 0*i - 6*i**4 - i + 2*i - 127788 + 127737 - 12*i**2 to j + x*i + p*i**4 + b*i**3 + f*i**2 and give j.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i + 8. Let f be h(5). Suppose 3*z + 3 = 5*t, 0*t + f = 4*z + 4*t. Find the second derivative of 4*p**4 + 4*p - 8*p**z - p + 4*p wrt p.\nAnswer: -48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -10*h + 10. Let m be (-6)\/(-8)*(-16)\/(-6). Suppose -h = -3*l - 4*n, 3*l - m*l - n = -4. Put 4, l, -0.4 in decreasing order.\nAnswer: 4, -0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)*6)\/sqrt(12))**2.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -208 - -62. Let a be (-4)\/u*(8\/48 + 0). Is 0 at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145629926538 + 164*b**2 - 145629926538.\nAnswer: 164*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -14 and 5906973 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + -3 + -6 + 12. What is the remainder when (-7 - -48) + v*(-1)\/2 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 4. Calculate the lowest common multiple of 11 and 4*3\/((-12)\/a).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in -4, 7\/4, -360.8?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1, -4, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.27, -13, 189 in decreasing order.\nAnswer: 189, 0.27, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 198\/54 + (-4)\/6. Suppose -3*y - 3*x - 6 = 0, 5*y = -2*x + 4*x + 25. Suppose -5*w + y*w + 6 = 0. Solve -4*a + 4 - 3 = -5*m, -k = w*a for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 12*l + 63. What are the prime factors of x(-26)?\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - (1\/(-1) - 8). Let r = u - 4. Find the third derivative of -4*s**r + s**2 + s**5 - 2*s**5 + s**2 wrt s.\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 10*m**2. Let b(h) = 39*h**2 - 13*h. Calculate -b(c) + q(c).\nAnswer: -29*c**2 + 13*c","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Expand (1730*y**2 - 1730*y**2 - 859*y**3)*(6*y - 2*y - 5*y + 1).\nAnswer: 859*y**4 - 859*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 79*x**2 - 1 + 3 - 1 + 70*x**2 + 199*x**2 as t*x + p + u*x**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + ((2 - 4) + -4 - (77 - (94 + -7)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, x: 1, y: 1}. What is prob of picking 2 y?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 14, -1, -7, -13, -0.02, -3\/19, -1\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-5)\/(-25)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -8\/5 (c) -2\/9 (d) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 3*a - 10. Let v be w(-5). Let c = -5 - v. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -286*v - 3*v**2 + 144*v + 142*v.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/42 + 22\/7. Suppose a = -y*a + 20. Suppose -b + 135 = -4*d - 17, -4*b + a*d + 564 = 0. Round b to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xzxfpww. What is prob of picking 1 x and 1 f?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 80.1 + -80. Which is the closest to -1? (a) 2 (b) k (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323*a + 7714 = -317*a + 65*a - 2061 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from pnpknlpokpk.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38480?\nAnswer: 2, 5, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5*q**3 - q**2 + 1. Let g be i(1). Suppose -g*h + 2 = -3, 0 = -x + h + 2220. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/60 and 1\/816.\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 230847 and 432.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/32? (a) 1\/10 (b) 2\/3 (c) -1 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -9*a + 11*a. Let s be a\/4*224\/(-2). What is the greatest common divisor of 8 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + (-3 - (-22)\/2). Suppose -n*t + 25 = t. What is the remainder when 6 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of 0*a + 0 + 0*a**3 + 1\/240*a**5 - 1\/840*a**7 - 1\/480*a**6 + 1\/1344*a**8 + 3*a**2 + 0*a**4. Factor y(z).\nAnswer: z**2*(z - 1)**2*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31? (a) -2\/7 (b) 2 (c) -1 (d) 30 (e) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 3*z**2 + 3*z + 1. Let q be c(3). Suppose 2*o = o - q. List the prime factors of ((-3)\/(-2))\/((-5)\/o).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 726, 2839, 6368, 11319, 17698?\n\"Answer: b**3 + 702*b**2 + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*i + 38*i - 11*i - 2.\nAnswer: 90*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 6*y + 27 = 3*z, z = 3*y + 13. Suppose 5*o - 6 + 1 = 0. Sort y, -4, o in descending order.\nAnswer: o, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 608 and 3800?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1017073484 a multiple of 476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 459257457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of r**7\/1260 - r**6\/216 + r**5\/90 - r**4\/72 + 4*r**3\/3 - 4. Let u(s) be the third derivative of o(s). Factor u(b).\nAnswer: (b - 1)**2*(2*b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -5*d**2. Let x(h) = 0 + 4181*h + 0 - 4167*h. Give x(l(a)).\nAnswer: -70*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + -5 + 1*(3 - 2). Is (-4 - -4) + (-6724)\/s + -3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -9 (c) 10\/13 (d) 242 (e) 1 (f) 7\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -5.2. Let h be 104\/12 - (133 + -124). Which is the nearest to h? (a) -2\/15 (b) 4\/9 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31057867*6\nAnswer: 186347202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 + (-5 - -7) + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 + 80. Let z = -19 + f. Solve -5*p + o = -o - 13, -5*o = 2*p + z for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2048) + sqrt(2048) - sqrt(2048))\/(6*sqrt(8)*-2))\/((sqrt(8)\/sqrt(2)*1)\/((sqrt(18) - sqrt(2))*5)).\nAnswer: 40*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**2 - 136*w - 140 = 0. Calculate w.\nAnswer: -1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**2 + 14*b + 8. Give u(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 364*s + 124*s + 58*s - 66*s + 685 - 51*s wrt s.\nAnswer: 429","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3174\/13 + 30\/(-195). Suppose l + 85 = s. Round l to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -2\/9, 32, 0.03, 0?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2 - 3*k - 3. Suppose -y + 0*y + 3 = 0. Suppose -5*l - 7 = y. Give f(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 177 (base 13) to base 5\nAnswer: 2032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 794495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of t**4 + 351598130*t**3 - 52085*t**2 + 6*t - 283.\nAnswer: 24*t + 2109588780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z**3 + 600 - 1191 + 591.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.74513 or -1\/90?\nAnswer: -1\/90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1320)\/135)\/(-44))\/(52\/5031).\nAnswer: 43\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**3 + x + 3. Let c be h(-8). Let a = -527 + c. Suppose 3*l - 7*l + a = 0. 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 next in -2306, -4374, -6444, -8516, -10590, -12666, -14744?\nAnswer: -16824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.33565141 rounded to 3 dps?\nAnswer: -0.336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 4*u - 14 = 17, 5*q - 7 = 2*u. Solve 7 = -o + j + 2, q*o + 7 = -5*j for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 11:45 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2495*l - 11 + 25 - 14.\nAnswer: -2495*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4878 or 4881?\nAnswer: 4881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 2*a + 40, -28 = -4*h + 2*a + 40. Solve k - z = -0*z, h = -5*k - 4*z for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 630648 and 7375078.\nAnswer: 265502808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2 + 5*x + 7. Let y be f(-9). Suppose 0 = 5*a - 3*a - y. Suppose 4*w = -5*z + 102, -w = 3*z + w - a. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilometer in centimeters?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a centimeter in millimeters?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -8. Let x(h) = -h + 4*h**3 - 2*h**3 + h**3 - 2*h**3. Let k(l) = -2*l**3 + 2*l + 1. What is b*k(o) - 6*x(o)?\nAnswer: -2*o**3 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 715*r - 72369 = 1188*r for r.\nAnswer: -153","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 230780b (base 13) to base 16\nAnswer: a48def","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -48456322.\nAnswer: -5\/48456322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1634325)\/(-50) - (-3 + (-10)\/(-4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-39))**(1\/47)\/(j**(3\/8))**(1\/21))**1 assuming j is positive.\nAnswer: j**(-2231\/2632)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-308)*4)\/(65\/35).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -90 - -903. Let z = -718 + k. Are z and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 15. Solve 0*o = 2*b + i*o - 6, 3*o = -3*b + 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and (3 - -4) + 1\/1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -113*s. Let h(c) = -9456*c**2. Calculate h(b(x)).\nAnswer: -120743664*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 577 and 121?\nAnswer: 69817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 2*d - 4, -3*t - 2*d = 5. Let o be t\/12 - (-29)\/36. Let n = 43\/45 - o. Which is the third biggest value? (a) 4 (b) n (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 58 + 82 = 0. Suppose -4*u - 8 = -3*b, 5*b = d*b - 3*u - 6. Solve b = a - 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10122.\nAnswer: 2, 3, 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303 is divided by 77.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbhxhxxzxhhxxhhhh. What is prob of picking 1 h and 1 z?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2184948086?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -2\/7 (c) -0.05 (d) -2 (e) -2\/9 (f) -20\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7464 is divided by 30?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2174 - 833 + 819)*(-2*n**4 - 3*n**4 + 3*n**4).\nAnswer: -4320*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4534, -4953, -5372, -5791?\nAnswer: -6210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77166 is divided by 182?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 838816906 + -838816774.0000057. Let o = x - 132. Round o to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from rrgpgcpggrgrp.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 6*g - 3. Let u be h(-3). Let o be 45\/u*60\/9. Suppose -o = 3*t - 8*t. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8 - (-1 - 28\/(-4)). Calculate the common denominator of ((-3198)\/(-28))\/(-13) + g and 109\/30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 91, 125, 143, 139, 107?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 14, -2, -0.2, 3\/5, -5?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + -2 - (6 - 4 - (-2 - 0))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.746943ng in grams?\nAnswer: 0.000000001746943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -676*t + 579*t = 1455 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 71120, 142286, 213496, 284750?\n\"Answer: 22*h**2 + 71100*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 433552927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 56 = -284. Calculate the remainder when y is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/21328 and 71\/10.\nAnswer: 106640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(475) + -4 + sqrt(475))**2 + sqrt(475) + (sqrt(475)*-1)**2*5 - ((0 + sqrt(475))**2 + 0)*-2.\nAnswer: -55*sqrt(19) + 5234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, -21, 1\/636, -0.158?\nAnswer: -0.158","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, 3, 1\/126?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, -0.5, -90\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**5\/9 + 16*u**4\/9 + 2*u**3 = 0. What is u?\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*o - 7 + 8 + 6 + 40*o**3 - 38*o**3 - 4*o**2 to the form b*o + n*o**2 + h + l*o**3 and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 87*t - 83*t - 12, 4*t = -2*f + 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**3 + 2*c**3 - 3*c**3)*(-740*c**2 - 1377*c**2 + 181*c**2 - 217*c**2 - 1139*c**2).\nAnswer: 6584*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 150, 546, 1202, 2130, 3342, 4850, 6666, 8802?\nAnswer: 11270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a. Let d(y) = 3*y + 4. Let t(p) = 4*b(p) + d(p). Determine t(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 1760473*h - 3520947. What is b(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 greater than or equal to -31108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of 3*u**6\/8 + 343*u**4\/24 - 67*u**2. What is the second derivative of q(y) wrt y?\nAnswer: 270*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007898 to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.41 + 1.49. Let o = 2 - l. Let q = -1 - -1. Which is the closest to q? (a) -0.4 (b) -3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 7*d = -3*d - 20, -2*n - d = -7. Suppose 0 = 6*o - o - 200. Factor -6*m - o*m**3 - 2*m + 44*m**3 + 4*m**n.\nAnswer: 4*m*(m - 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*sqrt(128)*-2 + -5*(-1*sqrt(8))\/sqrt(4)).\nAnswer: -111*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -7006 greater than or equal to -98083\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.56 + 5. Let t = -1.5599851 - o. Round t to six dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (165\/(-4719))\/(145\/(-638)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12954869*v**3 + 29393270*v**2?\nAnswer: 77729214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -6*m + 37037\/4*m**4 + 1\/2*m**2 + 0*m**3 + 0. Let f be b(3). Round f to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 7. Let w = y - 3. Suppose w = -5*l - 5*h - 49980, 0*l = 3*l - 5*h + 30020. What is l rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 6*z + 370 = 0, -431*z + 177 = 3*l - 434*z for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5588 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -15 (b) 6 (c) -23 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of -2\/3*u**3 + 1\/3*u**4 + 29\/60*u**5 + 0*u + 0 - 11*u**2. Is b(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**4 - k**3 + k**2 - k + 1. Let o(l) = -2*l**4 + 2*l**3 - 2*l**2 + 6*l - 127. Let q(d) = 2*c(d) + o(d). Differentiate q(y) wrt y.\nAnswer: -16*y**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -5*m**3 - 9*m**2 + m + 1. Let f(i) = -3*i**3 - 5*i**2 + i + 1. Let j(u) = 7*f(u) - 4*w(u). What is the remainder when j(-2) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27109 - 16976. Suppose -i = 4*b - 3369, 6*i = 3*i + b + r. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5*x = -249034 + 1149288, 2*x = 3*q - 675179. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 13. Let j = 5319.3 + -5321. Which is the third biggest value? (a) -4\/5 (b) -3 (c) j (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -51 + (-21644)\/(-420) + 1\/5*-2. Sort s, -2\/7, -2, 0.3, -119.\nAnswer: -119, -2, -2\/7, s, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 172084269?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.3, -3\/17, 1, 3\/4, 2 in increasing order.\nAnswer: -4.3, -3\/17, 3\/4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 702 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 65572730 rounded to the nearest 1000000?\nAnswer: 66000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + (-13 - -20) + 3 + 21 + -4 + 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 5, -9, -3 in increasing order.\nAnswer: -9, -4, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*d + 10 = -19*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*g + 104*g - p - 6 = 52*g, -4*g = -5*p - 68 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3432 (base 12) to base 4\nAnswer: -1122212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**3\/5 + 171681*t**2\/5 - 171686*t = 0?\nAnswer: -171686, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) - sqrt(1872)*1 - 2*sqrt(13)*-6) + -3 + -1 + sqrt(1573).\nAnswer: -4 + 23*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 74, 70, 72, 86, 118, 174, 260?\n\"Answer: k**3 - 3*k**2 - 2*k + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 6:29 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 383 - 483. Let u = -232 - -399. Let r = u + w. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*m - 27 = -3*p, 3*p + 2*m - 16 = 0. Suppose x - 6 + p = 0. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -41744498 and -3?\nAnswer: 125233494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 14*(-1)\/(-2). Suppose 0*a - 3*a = -4*b + 69, 0 = -b - f*a + 41. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**2\/7 + 318055600*j\/7 - 12644920586420000\/7 = 0. What is j?\nAnswer: 79513900","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3236279 and 7444.\nAnswer: 1861","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 18*b**2 + 3*b. Let o(t) = 35*t**2 + 7*t. Let g(f) = 4*o(f) - 9*p(f). Give g(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -408 + -16.\nAnswer: -424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 2081435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u**3 + 37*u**2 - 6*u + 11. What is y(9)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 266625720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.9627 + -0.0373. What is the closest to 0 in -0.4, g, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*(1 + (-3)\/(-3)). Is 9801\/44 - (-2)\/k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/51)*l**12)**(-12\/7) assuming l is positive.\nAnswer: l**(-2456\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1309820185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**2 + i + 3*i**2 + 0*i + (i + 2*i + 0*i)*(-2*i + 0*i + 8*i).\nAnswer: 19*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32.3 - 0.3. Which is the closest to -0.2? (a) -1\/3 (b) 5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5525.04l in millilitres?\nAnswer: 5525040","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 8*k**2. Let d(o) be the second derivative of o**4\/24 - 2*o**2 + 2*o. Let m(l) be the first derivative of d(l). Give m(w(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1061.2 + -1061.29157. Let g = t + 0.092. Round g to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*n + 1 = 14, 83 = 3*k + 5*n. Suppose 4*s + 30 + 66 = 0. Let x = k - s. Is x a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1645715 at most -1645715?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 - 74 = -15*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 12*w**2 + 14*w - 5. Let u be x(11). Suppose 2*a - 4*i - 16 = 0, -5*a - 4*i - 2 = u. Sort a, -5, 4 in descending order.\nAnswer: 4, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 24*y**2 - 3*y - 4. What are the prime factors of c(-3)?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 6*u**2 - 10*u - 17. Let d be h(-7). Let l = -7 - -10. What is p in 4*p**3 - p - d*p**3 + 3*p**3 + 1 - p**2 - 2*p**l = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5*k = -4*o + 1231, -3*o - k = -1219. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -0.43?\nAnswer: -0.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -6 + (-21 - -49 - 8) - 6) + -119?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/14022 and 35\/1476.\nAnswer: 28044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 100 divided by -2\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 117287 to the power of 1\/2, to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168208239.\nAnswer: 3, 3643, 15391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 486 and 1242?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 12) to base 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -769 and -342399450223?\nAnswer: 342399449454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-19\/3)\/(c*c*c*c\/(c**29\/c)*c*c) assuming c is positive.\nAnswer: c**(47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**3 + 51276*r**2 + 4*r - 51276 = 0. What is r?\nAnswer: -1, 1, 12819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 11312212021 (base 4) to base 2\nAnswer: 101110110100110001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 328505809?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 237?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -10*x**2 - 318*x - 1541. Calculate y(-5).\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 10302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 952 = 125*m - 117*m. What is the smallest common multiple of m and 5?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 91097.73 litres?\nAnswer: 91097730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*-1*1*-2. Suppose -2*m = -2*p + 2, -2*p - 2*p + 3*m = 1. Is k\/2 - (-21 - p) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/84 and 9\/308.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.77 - 0.87. Which is the nearest to r? (a) 1 (b) -1 (c) -1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 + 13 - 23)*(l - 5*l + 2*l)*(1 + 3 + 0)*(2 + 1 - 5) to t + s*l and give s.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15\/86 + 14\/43. Factor 1\/4*k**3 + 0 - n*k - 1\/4*k**2.\nAnswer: k*(k - 2)*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 10*f**2 - 28*f + 809. List the prime factors of k(29).\nAnswer: 7, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31001894?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/5 - 9911*p**3\/5 - 24552024*p**2\/5 + 24561936*p\/5.\nAnswer: -p*(p - 1)*(p + 4956)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b**3 - 3*b**2 - 3*b - 4. Let p(r) = 7*r**3 - 6*r**2 - 5*r - 7. Calculate 11*k(o) - 6*p(o).\nAnswer: 2*o**3 + 3*o**2 - 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9*(4\/(-3) - -2). Let w be 10\/(-30) - (-4)\/o. Solve 0 + w*r**2 + 0*r = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**4 + 2183316*g**3 + 397241246280*g**2 + 24092416746284656*g + 72273675126586656 = 0. What is g?\nAnswer: -181942, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 15. Let p(w) be the second derivative of w**2 + o - 2*w - 5\/3*w**4 - 1\/2*w**3. Factor p(g).\nAnswer: -(4*g - 1)*(5*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (158 - 580 - 1794 - 2236 - 408)*(-40 + 40 + 14*y) to the form z + i*y and give i.\nAnswer: -68040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 26*x + 99. Let n be q(-3). Solve -n = -3*a - 24 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m**4 + 13408*m**3 + 22950*m**2 + 5732*m - 3824 = 0. Calculate m.\nAnswer: -956, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-32))\/((v\/(v*v*v**(-1\/9)*v*v))\/v))\/(((v\/v**(-9\/5)*v*v)\/v*v)\/(v**(7\/12)\/v)) assuming v is positive.\nAnswer: v**(5701\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -9662, -37402, -83642, -148388, -231646, -333422, -453722, -592552?\n\"Answer: -n**3 - 9244*n**2 - n - 416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -47*s - 11. Let a(u) = -9*u - 2. Let t(i) = 6*a(i) - o(i). Let y(b) = b + 1. Calculate -t(k) - 4*y(k).\nAnswer: 3*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, n: 1, l: 1, y: 1, d: 2, w: 1}. What is prob of sequence yy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 117 + -101. Calculate the highest common divisor of j and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4*p**2. Let y(q) = -33*q**2 - 374. Let b(o) = -o**2 - 12. Let v(l) = -187*b(l) + 6*y(l). Give n(v(j)).\nAnswer: -484*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3601837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qu when two letters picked without replacement from {q: 2, z: 1, h: 1, a: 1, y: 1, u: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, r: 7}. What is prob of picking 3 a and 1 r?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -136 - (-96 + 57 - 37).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1043103 (base 5) to base 11\nAnswer: -12a14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*a**2 + 86922*a**4 + 154 - 86923*a**4 - 2*a**3 + 18*a**2 to k*a**3 + v*a**4 + o*a + x + c*a**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 60\/1*2\/(-5). Let r be (-4)\/(-3)*2\/h. Let f be 3136\/504 + -6 - 3\/((-189)\/4). What is the second smallest value in r, f, 1\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 40 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**0)**(-4\/21)\/((((m*m**(-3\/5))\/m)\/m)\/(m**(-2\/5)\/m)))**(-31) assuming m is positive.\nAnswer: m**(-31\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of 0*i + 0*i**2 + i**3 - 1\/5*i**5 + 0*i**4 - 11. Find the third derivative of b(d) wrt d.\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -5 - 5. Suppose -12 = b*x + x. Is x*(4 - 4707\/6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 76 - 64. Let g = 62 + -20. Let i = g - 20. What is the remainder when i is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 - 27.\nAnswer: 3*(a - 3)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 15*k**2 + k + 20. Let q be n(-15). Solve -3*l - 2*l = -q for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4044 is divided by 176.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u**2 + u**2 - 5*u**2)*(0 + 0*u**2 + 2*u**2 + 2 - 3*u).\nAnswer: 4*u**4 - 6*u**3 + 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 232112 divided by 2608?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from covcvvvcvovov?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 6, q: 2}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8255 + 8260.0089. Let j = -0.0089 + g. Let s = 2.5 - 2. Which is the smallest value? (a) 2 (b) j (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 22 = 2*r - 2*v, 0 = -r + 2*v - 7. Let s(o) be the first derivative of -1\/3*o**r - o - 3 - o**2. Factor s(q).\nAnswer: -(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18279 + 18278.5. Sort 1\/11, -5\/7, f, 17 in descending order.\nAnswer: 17, 1\/11, f, -5\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 1559*d**2 + 9*d - 7. Suppose 3*q = 3*x - 6, -5*x + 28 = -4*q + 5*q. Is i(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177264 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5125*y**3 + 8 - 1717*y**3 - 8 - 2282*y**2 wrt y.\nAnswer: 20448","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + j = l + 24, 2*j + 6 = l. Let t be (-49 - (-4 - 0))*6\/j. Calculate the greatest common divisor of t and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31734 and 4695084?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (292\/(-219))\/(0 - 4\/66) and 1372?\nAnswer: 15092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*r - 109*r = -150 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q + 49 + 62 - 159 + 48.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5577707 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -9*y - 31 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1316.27 less than 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -87 - -87.2. Which is the second smallest value? (a) g (b) 4 (c) 1\/4 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 260 (base 7) to base 8.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/4 (b) 6\/13 (c) 5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(70\/(-21))*1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*n**5 + 17*n**5 - 2*n**5 + (3 - 6 - 4)*(-n**5 - 3*n**3 + 3*n**3).\nAnswer: 17*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 6 = 2*q. Suppose -q*z + z = 0. Put z, -1, -3 in descending order.\nAnswer: z, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15080005 times 0.06\nAnswer: 904800.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q**2 + 9*q + 67. Let z(k) = 3*k**2 - 6*k - 66. Calculate 2*s(o) + 3*z(o).\nAnswer: o**2 - 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2652?\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -674 + 676. Let p(j) = j**2 - 6*j + 2. Let q be p(6). Which is the closest to q? (a) 0.2 (b) o (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b**2 - b. Let f be t(-2). Suppose -u + 6*u = -2*i + f, 0 = 4*u - 8. Suppose -r = -4*r + 36. What is the lowest common multiple of i and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10074, -41829, -95270, -170397, -267210, -385709, -525894?\n\"Answer: -10843*g**2 + 774*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -1) + (-2 - (-4 - -1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 11 - 32*n.\nAnswer: -32*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u + 2. Let o(i) = i + 1. Let c be o(-7). Let s = 8 + c. Determine b(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.2, -2\/5, 8516, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 122.423494 to one dp.\nAnswer: 122.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*i + 25*i - 169478 - 236993. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4896639731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, x: 13}. What is prob of picking 3 s?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*v**3 + 101 - 69*v**3 + v**3 wrt v?\nAnswer: -177*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -10 (c) 2\/3 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 2*x**2 - x + 3. Let y be o(0). Suppose 4*w = y*w + 4. Suppose -150 = -w*f - f. Calculate the greatest common factor of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**5)\/((r*r**(-2\/15))\/r)*r**(1\/6)*r*(r*r**(-6)*r*r)\/r*r assuming r is positive.\nAnswer: r**(-57\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -i**6\/36 + i**4\/4 + 7*i**3\/3 - 6. Let t(w) be the third derivative of p(w). What is the first derivative of t(u) wrt u?\nAnswer: -20*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 140*n**3*z**2 + 48*n*z**3 - 90996*z**3 - z**2 wrt n?\nAnswer: 420*n**2*z**2 + 48*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 326 = 4*k - 994. What is the highest common factor of 30 and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - u. Let g(y) = y**3 - 8*y**2 - 8*y - 1. Let f(d) = g(d) - 3*h(d). Let o be f(6). Put 0, o, -2 in descending order.\nAnswer: o, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -2 (b) 0.2 (c) 1\/9 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u + 17271 = 17509 for u.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*a - 148*a = -283*a - 1470. What is the greatest common divisor of a and 168?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 447679.\nAnswer: -1\/447679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 361 - 361.4. Let v = 0.05 - 4.05. Let p = 0.5 - 0.3. What is the second biggest value in p, k, v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/5 (b) -5 (c) 0.2 (d) -1\/6 (e) -0.093184 (f) -0.3 (g) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -67.7? (a) 0.9 (b) -8 (c) 0.2 (d) 5 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 265 + -261. Suppose -4*u + 8 = -i, i - 3*u + 9 - k = 0. Solve 3*s = 3*j + 2*j - 21, -12 = -i*j for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-18) - 5*925\/(-45). Suppose 11*c + x + 73 = 0. Is c at least as big as -31\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23 or 377\/17?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -2\/7 (b) -2\/189 (c) -4 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 6*z - 106. Let g be u(19). Let j = g + 17. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48 + -48. What is the tens digit of (-159 - m)*10\/(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus 0.1453?\nAnswer: 0.5453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + q**2 - q - 1. Let t(v) = 2 + 4 - 6*v**3 + 0*v**3 - v. Suppose 3*c + 25 = 8*c. Let b(y) = c*f(y) + t(y). Calculate b(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*2*sqrt(147))\/sqrt(7))\/((sqrt(315)*-6)\/sqrt(5)).\nAnswer: -4*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 8. Is (-93)\/(-6)*(-4)\/z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 17*q + 17. What is the tens digit of b(16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -f + 5, -f - m = -3 + 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 1:02 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + 0.3. Let r(n) = n**2 - 9*n - 2. Let q be r(9). Let f be q\/15*1 + 0. What is the third smallest value in i, f, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15889 is divided by 1441?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.069215384*-4\nAnswer: 0.276861536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6*11)\/(30\/(-20)). Calculate the greatest common divisor of q and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of z**7\/399 + 9*z**6\/95 + 73*z**5\/190 + 7*z**4\/38 - 74*z**3\/57 - 48*z**2\/19 - 2708*z. Find p such that w(p) = 0.\nAnswer: -24, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2501*i**2 + 7511*i**2 - 16*i**3 - 2503*i**2 - 2507*i**2.\nAnswer: -16*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 761*u - 4824 = 46*u - 491*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(1*(-2)\/(-70)). Let h be ((-10)\/6)\/((-75)\/225). Calculate the highest common divisor of d and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x - 71 = 3*f, -3*f - 8*f + 5*f + 5*x = 70 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/((-6)\/(-4) - 1). Let c = 338 + -321.3. Let r = c + -17. What is the second smallest value in -0.4, z, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**3*i**2 - 5735243*h**2*i - 34*h*i**2 + 2*h + 1060*i**2 + 2 wrt h?\nAnswer: 12*h*i**2 - 11470486*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-7))\/((-1)\/7). Suppose 13*j = 16*j - 9. Let k = -4 + 7. Solve 4*v - 6 = q + l, j*v = k*q for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*r = -31 - 18 + 18. Which is smaller: r or -12\/245?\nAnswer: -12\/245","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (123\/63)\/((-1)\/(-69)). Let w = -138 + h. What is the common denominator of -62\/5 and w?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p - 4. Let q(x) = 3*x - 4. Let l(c) = -4*b(c) + 6*q(c). Calculate l(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 - -27 - 2 - 39?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3088800 and 62400.\nAnswer: 6177600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 2*c**2 - 4*c + 2. What is the least common multiple of d(6) and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2*g = -65, 0 = 2*d - g + 3*g - 32. Solve -d = m + m + 3*t, 2*m = -4*t - 14 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/r**27))\/r**(-4\/11)*(r\/((r*r**13*r*r)\/r))\/r**(-25) assuming r is positive.\nAnswer: r**(422\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*x - i = -45, -2*x + 1262*i - 1258*i + 24 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 484*d**4\/7 - 24992*d**3\/7 + 407104*d**2\/7 - 2181120*d\/7 + 3686400\/7.\nAnswer: 4*(d - 4)**2*(11*d - 240)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1366512*c = 1366012*c + 29000 for c.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 - 4*q - 17. Let k(o) = o**2 - 2*o - 9. What is -11*k(i) + 6*l(i)?\nAnswer: i**2 - 2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 6*x**2. Let f be y(-6). Let q be 2\/(-12) - 38\/(-12). What is the nearest to f in q, -5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 16 = 2*w. Suppose -w = 4*p - 36. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*m - 20244 = 43*m. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202*v**2 - 72*v**2 - 48*v**2 - 47*v**2 - 6*v.\nAnswer: 35*v**2 - 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express g - g**2 + 16*g**3 - 17*g**3 + 4*g**2 as i*g + s*g**2 + o*g**3 + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*h - 5*a + 385 = 0, 3*a + 731 = 4*h. Put h, -5, -2, 0 in increasing order.\nAnswer: -5, -2, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 11:16 PM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 + -10. Suppose -z = -4*r + 156, 2*r - 6*r + 5*z + 156 = 0. Calculate the highest common factor of r and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4592754456?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 33 and -0.083?\nAnswer: 33.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*s = 4*s + 11253. Let n = s + 258. List the prime factors of n.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) 2\/103 (b) -0.1 (c) 3 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 544809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6, -14, -36, -78, -146, -246?\n\"Answer: -r**3 - r**2 + 2*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 - 2*c)*(1 - 2 + 2) - 29*c - 19*c - 11*c)*(5*c + 18 + 6*c - 9*c).\nAnswer: -122*c**2 - 1098*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -22b - 9577?\nAnswer: -97a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*q - 5*n, -4*n - 6 + 2 = 4*q. Let f(u) = -5*u**3 + 5*u**2 + 2*u + 2. Let i(z) = z**3 - z**2 - z. Give q*f(o) + 2*i(o).\nAnswer: -3*o**3 + 3*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in thirty-four fifths of a second?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 + -8. Let w be ((-2)\/(-5))\/(s\/(-15)). Let z = 232 + -236. Which is the closest to -0.1? (a) z (b) 5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/4 + 15*w**2\/4 + 1633*w\/4 + 1617\/4.\nAnswer: -(w - 49)*(w + 1)*(w + 33)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 71.00026 - 71. What is t rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1192871, 2385254, 3577637, 4770020, 5962403?\n\"Answer: 1192383*b + 488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 139257.49313 rounded to 0 decimal places?\nAnswer: 139257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2. Let u(w) = -3238*w**2. Calculate s(u(i)).\nAnswer: -10484644*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3051745, 3051769, 3051793, 3051817, 3051841?\n\"Answer: 24*z + 3051721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 4*r - 3*d, 15 = r - 4*d - 0. Suppose 2*m - r = 3. Suppose 2 = -m*q - 2*f, -3*f = 7*q - 3*q - 4. What is the second smallest value in 2, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8955449?\nAnswer: 8955449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (24 - 5) + 48 + -85\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*z - 11*z - 14*z)*(-2*z + z - z)*(-4 + 4 - 2) - 2*z**2 + 5*z**2 + 0*z**2 to the form v*z**2 + m + g*z and give v.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/9*-6 - -1. Is a not equal to 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/336 and 17\/60.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - u + 17. What is y(-9)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 0 + 1\/3*f**3 + 3*f - 5*f**2. Is s(7) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 + 2*l**3 + l**3)*(1 - 1 - 2*l)*(3 - 2 + 6)*(-2 + 0 + 0)*(-877*l - 1976*l + 3945*l).\nAnswer: 30576*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 897 and 3354?\nAnswer: 77142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by 15318.\nAnswer: -8\/7659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s - 7. Let n(a) = 7*a + 13. Suppose -24 = -10*v + 6*v. Give v*n(h) + 11*c(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -14, -3\/4, 1\/4, 2, 161867 in descending order.\nAnswer: 161867, 2, 1\/4, -3\/4, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0056482273 rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*h**3 + 159*h**3 - 42*h**3 + 223*h**3.\nAnswer: 290*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 561728 - 561726. What is v in -6 + 3\/4*v**u - 21\/4*v = 0?\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -44*g**3 + 36*g - 11. Let q(a) = 15*a**3 - 12*a + 4. Let p(w) = -4*m(w) - 11*q(w). Find the second derivative of p(t) wrt t.\nAnswer: 66*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15)\/(-5) + (-50646)\/1000. Let h = 13\/125 - b. Let j = 47 - h. Put -3\/5, 5, j in increasing order.\nAnswer: j, -3\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 49*h + 2691. Let j be d(-55). Let y = -0.1 - 4. Let a = y - -0.1. What is the closest to a in 1, 1\/4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzrmzrzzz. Give prob of picking 2 r.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**2\/6 - 47*b\/6 + 8 = 0 for b.\nAnswer: -48, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*z - 4*z - 26 = 0, -4*f - 5*z - 31 = 0. Which is smaller: -16\/3 or f?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(76) - (sqrt(76) - -1*sqrt(76)))**2 - (sqrt(57)\/sqrt(3) - sqrt(19))**2*-6) + sqrt(114)\/(sqrt(96)*-2) + -2 + -4.\nAnswer: -sqrt(19)\/8 + 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -39*v**2 + 1. Let b(y) = y**2 - 334*y - 30. Give b(t(a)).\nAnswer: 1521*a**4 + 12948*a**2 - 363","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 - 13 = -8*i + 123 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7140 - -7147. Calculate the remainder when 440 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 3*r + 8 = -3, 2*x = -4*r + 2 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 + 56. Suppose t + 3*r + 144 = 4*t, 2*r = -t + 48. Suppose 0 = 4*m + 4*z - t, -5*m - 60 = -10*m + 4*z. What is the lowest common multiple of y and m?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*d**3)*(1 - 1 - d) + 11*d**4 - d**4 - 2*d**4.\nAnswer: 5*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 103860703*x**3 - x**2 + 2862*x + 5801 wrt x.\nAnswer: 623164218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 4, 5, 4, 1, -4?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -197 (c) -0.1 (d) 1\/9 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42205.\nAnswer: 5, 23, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sslsssssslsssssnsnls. What is prob of sequence nsls?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 92 + 24. Suppose -3*w = 3*s - 5*w - j, 5*w = 3*s - 119. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, j: 1, c: 1}. What is prob of picking 1 l and 1 c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -2024264.268 to the nearest one hundred thousand.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.1 + 0. What is o rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/36)*p**20)\/(p**(-9)\/p**(-1\/19)) assuming p is positive.\nAnswer: p**(19819\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -6. Let y be 4 + x + 4 + -1. List the prime factors of (-3)\/(-2) - (-93)\/y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-37)*l*l**(-37) assuming l is positive.\nAnswer: l**(-73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.9 + 8. Suppose 0 = -6*g + 3*g + 6. Suppose g*d - 14 = -4. What is the second biggest value in 8, o, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -882 (c) -39490\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)*6)\/(sqrt(320) - sqrt(320)*4).\nAnswer: -3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*n = -177*n - 3367. Sort n, 4, 2, 9.\nAnswer: n, 2, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -294594, -589185, -883778, -1178373, -1472970?\nAnswer: -1767569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -5*q + 4032, 4*a - 2329 = q + 3047. Is 31 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 5 - 3*x - 24 + 6*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n**2 - 950*n + 45125 = 0. Calculate n.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199*u = 59*u - 3080. Put 0, 1, 5, u, 3 in decreasing order.\nAnswer: 5, 3, 1, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 10*d - 9. Let s be o(-11). Let g be (-4)\/2 - -6 - s. Put g, 0, -4 in decreasing order.\nAnswer: g, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -10*l**2 + 13. Let h(r) = -r**2. Give h(s(g)).\nAnswer: -100*g**4 + 260*g**2 - 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and 28783.\nAnswer: 28779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*g = -35800, 19*m + 250492 = 26*m - 4*g. What is the thousands digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -196 minus 105272.948?\nAnswer: -105468.948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 92 - 89. Suppose 5*m = 4*m - l. What is the tens digit of m + 4 + 71 - 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 15*z**2 + 6822*z + 102336. What is n(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(3\/4)\/y))\/y**(-12\/5) assuming y is positive.\nAnswer: y**(73\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b**2 + 10. Let q(g) = -7*g**2 - 20. Calculate -5*k(o) - 3*q(o).\nAnswer: o**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 344 + -342. Suppose k - 783 = -3*w, -3*k = -f*w - 1454 - 928. What are the prime factors of k?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-25280)\/(-25)*135\/54.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1504.1 and 21893?\nAnswer: -32929261.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -237*j - 5 + 246*j - 1. Let n(a) = 54*a + 262. Let b be n(-5). Let y(f) = -6*f + 4. What is b*y(r) - 5*d(r)?\nAnswer: 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35410319?\nAnswer: 7, 19, 443, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/228*(2 + -3 + -2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 742113 - 326429. Suppose 2*o - i - 124316 = 0. What is o rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 2*u = 20, -14 = -3*c - 2*u + 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 315797820?\nAnswer: 2, 3, 5, 13, 23, 29, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -3*p**2\/2 - 15*p + 83. Give m(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(343)*-2*-2 + ((sqrt(343) - 3*(1 + sqrt(343))) + sqrt(343) - sqrt(343))**2.\nAnswer: 112*sqrt(7) + 1382","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 6 + 210. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -108, -201, -352, -573, -876, -1273?\nAnswer: -1776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/41 (b) 95\/277 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 57 = 5*o, 2*o + 0*i = 5*i + 27. Suppose -25*q = -o*q - 308. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**2 - 10*k + 11. Let r be p(4). Suppose 238 = 2*x + 2*q, -2*x - 5*q + 244 = -r. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58880620 to the power of 1\/3, to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2\/7 - 41586*d\/7 + 41583\/7.\nAnswer: 3*(d - 13861)*(d - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65736, -65737, -65738, -65739, -65740?\nAnswer: -65741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*d + d + 988 = 3*d + 736 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, -4, -691, 0 in decreasing order.\nAnswer: 4, 0, -2, -4, -691","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 13*i**2 + 27*i + 69. Let c be m(15). Let g(a) = 7*a**2 - 2*a + 15. Let u be g(5). What is the highest common factor of u and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-47\nAnswer: -23.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -106*j + 2. Let b(n) = -70*n + 1. Calculate -7*b(m) + 5*f(m).\nAnswer: -40*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-3*(sqrt(45) + sqrt(135)\/sqrt(3) + sqrt(45)))\/sqrt(9) + -4).\nAnswer: 20 + 45*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 170301?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b - b**2 + 2*b + (b - b - 2*b)*(2841*b - 18113*b - 3944*b) as z*b + l*b**2 + x and give l.\nAnswer: 38431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 42)*(-43)\/(-258). Put k, -2, 2 in descending order.\nAnswer: k, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a kilometer in meters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 5)*(0*q + 0*q + 5*q + (-6 + 2 + 2)*(0*q - 2*q - q) + 3*q + 0*q - 4*q).\nAnswer: -20*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times -1561?\nAnswer: 9366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*2\/(-4)*-3. Let s(d) = 2*d**2 - 4*d. What is the units digit of s(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + (-564)\/(-48))\/((-40)\/64)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 223 = -961. Let s = q + 35. What are the prime factors of s?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -1967.\nAnswer: -4\/1967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008499687154 to six dps.\nAnswer: 0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*u - 185. Let t = 658 + u. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a second in milliseconds?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.73136 and -0.07?\nAnswer: -0.1211952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6 - ((13 - 4) + -6 + -9)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.039 + -94.039. Let m = j - -94.000001435. What is m rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5576, -10941, -16086, -21011, -25716?\n\"Answer: 110*o**2 - 5695*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -305240, -2\/19, -1.\nAnswer: -305240, -1, -1\/2, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**5\/7 - 72*u**4\/7 - 344*u**3\/7 + 960*u**2\/7 = 0?\nAnswer: -6, 0, 2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 580 and 261?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence clq when three letters picked without replacement from {x: 1, q: 2, c: 1, l: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2212)\/35 - (-1)\/5. Suppose -3*g = -g + 5*j - 129, -3*g + 4*j = -182. Let r = g + d. Which is smaller: r or -3\/49?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b + 1 + 0 - b - b**3. Let z(l) = -l + 14. Let c be z(11). Suppose -c*p - 6 = -0*p. Determine g(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-4)*(-7712)\/2410.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 3:21 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(175)*2 + 3))**2 - (4*sqrt(28) - 2*sqrt(7)*-6)**2.\nAnswer: -2091 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*f**5*q + 682*f**4 - 5*f**3 + 596*f**2 + f*q - 4*q + 15 wrt f.\nAnswer: -300*f**2*q + 16368*f - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*w = -560. Let o = -22 - w. Let t = o - 60. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 480266279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 5:16 AM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2037*g**3 + 2016*g**3 - 6386 + 6386.\nAnswer: -21*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3785.751 years?\nAnswer: 45429.012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 62879951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 14. Let t(q) = 2*q**2 - 2. What is t(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 269*q**2 + 530*q - 142575. Calculate m(269).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22848)\/(-1008))\/((-8)\/12).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 - 18*c + 36. Calculate t(16).\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 237433 and 3745.\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - -66.9?\nAnswer: 83.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2)*-1*5 - (sqrt(2) + sqrt(16)\/(sqrt(24)\/sqrt(3) + sqrt(8)))) + -5)**2.\nAnswer: 65*sqrt(2) + 219\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 110? (a) 0.5 (b) 12 (c) 6725\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(-4 + 3*b + 4)*(-5 - 6 - 9)*(-b**2 - b + b).\nAnswer: -120*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.3572862 plus 1.9?\nAnswer: -7.4572862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -3*d**2 - 15*d - 18 = 0?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -d**5\/90 + d**4\/36 + 2*d**3\/9 + 2*d**2 - 2. Let w(t) be the second derivative of o(t). Determine m, given that w(m) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177587*s**2 + 355124*s**2 - 177540*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + j + (2 - 3 + 3)*(j + j - 3*j) - 205 + 205 - 51*j)*(-2 + 2 + 6*j)*(-3 + 6 - 2) - 1 + j**2 + 1.\nAnswer: -311*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s - 2*s**2 + s**2 - 3*s + 3*s. Let x(g) be the third derivative of -g**5\/10 - g**4\/8 + 2*g**2. Determine -4*o(y) + x(y).\nAnswer: -2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n + 232. Does 3 divide r(-41)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/395 and 64\/237.\nAnswer: 1185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**14)*p)\/p**44)\/((p**15*p)\/(p**(-18)\/p)) assuming p is positive.\nAnswer: p**(-92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1362749 to the power of 1\/2, to the nearest integer?\nAnswer: 1167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 + 24. Let i = -31 - -15. Which is bigger: i or d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i - 385631 - 1094129 = 0. Suppose -q + i = 4*p, -5*p = -5*q + 3*q + 148015. Round q to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 30 = -0*a. Is -6 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 470, 2\/29, -2\/15?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2154 + 2215. What is the highest common factor of p and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g + 1. Let d be a(-1). Suppose -2*z + 4*y + 114 = 0, 318 = 5*z - 3*y + d*y. Is z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 j when two letters picked without replacement from {v: 3, j: 15}.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 144465 by -48155.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1428*d*n**3 - 795303*d*n + 2*d - 29*n**3 - 2*n wrt n?\nAnswer: -8568*d*n - 174*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - -2. Let r(g) be the first derivative of g**5\/20 - 5*g**4\/12 + g**3\/3 - 3*g**2\/2 - 3*g - 2. Let p(z) be the first derivative of r(z). Determine p(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 3*v + v)*(-1 - 2*v + 1)*(0*v - 2*v + 25*v**2 + 172*v**3 - 170*v**3).\nAnswer: -4*v**5 - 50*v**4 + 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(100)\/(sqrt(80) - sqrt(5)) + ((2*sqrt(135) + sqrt(135))\/(2*sqrt(3)*2 - sqrt(3)))**2 + -2.\nAnswer: 2*sqrt(5)\/3 + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**3\/5 - 1317*k**2\/5 + 2751*k\/5 + 9261 = 0 for k.\nAnswer: -441, -5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239721.\nAnswer: 3, 79907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58024?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (4*(-2)\/(-8))\/(18\/(-3))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(-1 + -1)\/2. Let r = j - -5. Let u(v) = 701*v**2 - v - 2. Let h be u(r). What is h rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 200*o**2. Let h(x) = -3*x**2. Determine w(h(y)).\nAnswer: 1800*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(-2 - 5\/(-2)). Let t be 1*86\/2 - s. Calculate the greatest common divisor of 6 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 6*f. Let s be v(-8). Suppose -2*i + s = -134. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 2:10 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**2 - 7*v**2 + 0*v**2 + (-v + 2 - 2)*(v - v - v) + v - 2*v**2 - v - 4*v**2 - v**2 + v**2 + v**2 + v**2 - v**2.\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1841063 is divided by 5771.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, u: 2, g: 1, b: 3, x: 6, v: 3}. What is prob of picking 1 b, 1 v, and 1 g?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hxhihxxhvi. What is prob of picking 2 h and 1 x?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 69\/(-15) + (-2448)\/(-680). Which is bigger: -1476 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*j - 253 - 640 = -137 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -x**3\/2 - 208*x - 1. Determine z(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z + 3. Let y(t) = 2*t + 2. Let v = 11 + -7. Suppose -8 = v*s, -2*c + 3*s = -3*c - 2. Determine c*y(h) - 3*a(h).\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30746218 and 34542.\nAnswer: 3838","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -170984 divided by 22\nAnswer: -7772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12453 - 12452.7. Which is the biggest value? (a) -0.2 (b) -51\/5 (c) -4 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -227, -731, -1695, -3269?\nAnswer: -5603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - 3*l**2 + 2*l**2)*(0 - 2 + 0) - 4 - 2*l**2 + 4 - 107 - 15*l**2 + 107.\nAnswer: -19*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 15*f - 713. Calculate the lowest common multiple of d(69) and 368.\nAnswer: 2576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lbllqlcblcml. What is prob of sequence cbq?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (736\/6)\/(3 - 32\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {v: 2, g: 2, a: 11}?\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-2) + (-103)\/2. Suppose 16*o - 5 = 155. What is the remainder when (2\/3)\/((-2)\/f) is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p - 1 + 1)*(-1 + 1 - p) + 424*p**2 - 145*p**2 - 118*p**2 as t + h*p + o*p**2 and give o.\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/2)\/c)\/c)**21*(c\/c**(-1\/6))\/c**(2\/5) assuming c is positive.\nAnswer: c**(-776\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-3)*n)**(-7\/13))**8*((n*n**(-2\/15)\/n)\/(n**(7\/5)\/n))**(-18\/13) assuming n is positive.\nAnswer: n**(608\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6670*b*y**2 + b*y + b - 176*y wrt y?\nAnswer: 13340*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of x**4 - 1642753*x**3 - 1253*x**2 - x - 38 wrt x.\nAnswer: 24*x - 9856518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t + 2. Let x = -52 + 62. Suppose 2*o + 14 = 3*p, -6*o - p = -3*o + x. Determine j(o).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14381 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -61.27629 and -6.57.\nAnswer: -67.84629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.36 - -1.449. Let o = 0.077 - p. What is o rounded to three dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4264, -17002, -38226, -67930, -106108, -152754?\n\"Answer: l**3 - 4249*l**2 + 2*l - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of 3*d**2\/2 + 199*d - 276. Let z be f(-10). Calculate the highest common divisor of z and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 + 1080*x**2 - 4272*x + 4256.\nAnswer: -4*(x - 266)*(x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in 0, 5, 1\/50?\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (11\/22)\/(0 + (-2)\/(-3092)). Let g = p - 1274. Find the common denominator of -32\/3 and (g\/18 + 2)*(-4)\/45.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uububbuubbbb. What is prob of picking 2 b?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*h + 6*h - 84. Calculate the remainder when 36 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -45*s**2 - 1933*s + 84. What is k(-43)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 + 36 = 5*m. Suppose m = -5*g + g. Let o be g\/(-1)*3\/12. Solve 0 = 5*k - 2*n + n - 8, -2*k = n + o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.89 - 11. Let m = o - -0.2. Let v = m + -0.04. Round v to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*u**5 + 16*u**5 + 0*u**5 + (u - u**3 - u)*(-5*u**2 + 3*u**2 + 3*u**2)*(-3 - 1 - 4).\nAnswer: 40*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-6))\/((-316)\/(-522)). Let g = 2\/79 - m. Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -51, -192, -423, -744, -1155, -1656, -2247?\n\"Answer: -45*i**2 - 6*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 333 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 24920507.45 - 5?\nAnswer: 24920502.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10108, 10107, 10106, 10105?\n\"Answer: -f + 10109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m = -2*m - 5*q + 7, 3*q = -3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1708448 is divided by 569466.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 0 + 5 - 6 + 15 - 3*a. Let m be j(2). Solve m + 4 = -4*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.13 + 2.33. Let k = -1.2 + h. Which is the biggest value? (a) k (b) -0.3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t + 2763. Let r(i) = -1384. Give 2*n(b) + 5*r(b).\nAnswer: -2*b - 1394","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (1 - 6 - -11)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5*h = 25, 0 = -2*g - 2*h + 12. Suppose -g*n - 4 = -7*n. Solve -4*t = n*k - 20, 0*k - k + 5 = t for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11 or 7477352?\nAnswer: 7477352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 8:56 PM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 37855613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 387110, 774193, 1161250, 1548281, 1935286?\n\"Answer: -13*n**2 + 387122*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 = -19*g - 58*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -29514773, -59029531, -88544273, -118058999?\n\"Answer: 8*i**2 - 29514782*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.693985 millilitres to litres.\nAnswer: 0.000693985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -8. Solve 0 = -2*k - b*k - 8 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 193 + -190. Solve 4*k - 8 = 0, -7*k - 8 = -4*h - i*k for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = 4*j - 405. Suppose -8*g + 151 - j = 0. Solve -3*w = -g*w + 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 76? (a) -3\/2 (b) -4 (c) 1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2707099 to the nearest integer?\nAnswer: 1645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 q when two letters picked without replacement from buyqypz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 34 - (-18 + 46) - (-1 - -18)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3652 times -19.859?\nAnswer: -72525.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3682144*c**4 - c**2 + 46*c - 64 wrt c?\nAnswer: -88371456*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5695.5 - 5696. What is the nearest to l in 3, 32, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 220 = -12*c. Let b be c\/(-18) + (-13 - 357\/(-27)). Let s(q) = -q**3 - q**2 - q - 1. Let p(j) = 2*j**3 + 4*j**2 + 5*j + 5. Give b*p(m) - 4*s(m).\nAnswer: 2*m**3 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**2 - 31*l + 49 + 28*l - 48 in the form y*l**2 + k + o*l and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 b when three letters picked without replacement from {a: 2, b: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 360*o - 720. Determine a(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 6:46 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a - 7. Let q be f(-5). Let z(b) be the second derivative of b**3\/3 - 3*b**2\/2 + 13*b. What is the units digit of z(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7\/5, 111803, -2.7?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2946*u**2 - 67 + 15 + 18 + 35 to the form j + n*u + f*u**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**3 - 4*d**2 + 2*d - 2. Suppose -5*m - 3 = -10*m + 3*l, -3*m = -2*l - 1. List the prime factors of s(m).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 5 = 55871*f - 55873*f, -4*h = -3*f + 11 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -8 + 3*a + 8 - a. Let h(v) = 4*v**2. Give j(h(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1491785391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*t - 22*t + 75*t.\nAnswer: 98*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12.16 - 0.16. Let c = 12.2 - i. What is the third biggest value in c, -7, -0.2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -974, 9, -8, 4 in descending order.\nAnswer: 9, 4, 3, -8, -974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 374587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -39 (c) 0.65 (d) 0.3 (e) 2 (f) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 1513*w**2 - 2*w - 2. Let o(k) = k**2 - 23*k + 41. Let d be o(21). Is s(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 7*u**5\/120 + 3*u**4\/8 - 10*u**3\/3 - 5. Let n(g) be the third derivative of o(g). Find the first derivative of n(f) wrt f.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b + 104 - 40 = 0. Suppose -b*y = 3*z - 223, y - 57 = 6*z - 7*z. What are the prime factors of y?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4*h + 27. Let v be o(7). Calculate the common denominator of (-1940)\/(-8)*2\/(-310) and (294\/224)\/(((-9)\/42)\/v).\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 5*a**2 - 3*a - 7. Determine t(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -173191, -345700, -518209, -690718, -863227?\n\"Answer: -172509*z - 682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from upuupupupuuuuu?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -21 + 1 + -1 + (-14 - 2 - -21).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t - 9*l + 83, 85852*t = 85848*t + 2*l - 26 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1721188937 + 1721188937 + 4*a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.322, -0.1, 2.8 in decreasing order.\nAnswer: 2.8, 2.322, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t + 4*f + 14, -6*f + 2*f = 16 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3 + sqrt(1573))**2 + 2 + sqrt(13) + ((sqrt(52))**2*5 - sqrt(13)) + sqrt(13) + (sqrt(468)*2)**2 + -2.\nAnswer: -43*sqrt(13) + 3709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10050194879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2546*f + 102152. Calculate w(-40).\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 2147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -173 - -177. Suppose -z*w + 2*l = -1024 - 190, -5*l + 287 = w. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 508 divide 78747928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32667737 is divided by 48.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*d + 195 = 23. Let r(v) be the second derivative of v**3\/6 + 13*v**2\/2 - v. Let l be r(-9). Sort l, d, 0 in decreasing order.\nAnswer: l, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rcnenrrencreecerrnr. Give prob of picking 3 e.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 9*(-7)\/(-42)*-2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 6*z. Let g(q) be the second derivative of 1\/6*q**4 + 0*q**3 + 0*q**2 + 10*q + 0. Determine g(w(o)).\nAnswer: 72*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -z + 191. Let n = 137 + z. What are the prime factors of n?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-112))\/(2\/14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 12:20 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45658?\nAnswer: 2, 37, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 9) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - 4. Let v be 2\/w + (-52)\/20. Let p(d) = -d**3 + 15*d + 3 - 4*d**2 - 15*d. Give p(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-4) - (-27)\/6. Suppose -22 = -2*l - 2. Solve -y*s + 0*s = l for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 + 847\/(-66))\/(-1).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2877982439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 776 is divided by 6664\/112 - (-4)\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -225659*-22.\nAnswer: 4964498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence emee when four letters picked without replacement from {m: 1, e: 12}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18601207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**3 + 8*m**2 - 28*m - 6. Give t(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 y, and 1 x when four letters picked without replacement from ixyxwxvivyii.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-1890))\/((-9)\/((-243)\/63)).\nAnswer: -2\/147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 9:59 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnl when three letters picked without replacement from {n: 5, o: 1, w: 4, l: 3, q: 1}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**2 + 464930*q + 12086828 = 0 for q.\nAnswer: -232439, -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nmnn when four letters picked without replacement from {z: 4, m: 2, n: 7}.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2255 - -9137\/4. Let f = y + -29. Which is bigger: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/32 or 10996522?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1092.824271 nanoseconds to weeks.\nAnswer: 0.0000000000018069184375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -4*f**3 - f**2 - f - 1. Let n be h(-1). Suppose -240 = -4*l + 3*c, n*l + 3*c + 9 = 210. Calculate the highest common divisor of 7 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3264\/(-1836)*((-2)\/20)\/(12\/108).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 7*r**2 + 7*r + 6. Calculate the remainder when 70 is divided by n(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 41 - 104145?\nAnswer: -104104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/15720 and 53\/29475.\nAnswer: 235800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1953352 divided by 13756?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -51 + (-7 - -57) + (-28 - (-2 + 2)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.04 + 2.96. Let g = -0.11 + 2.11. Let s = g - x. Which is smaller: s or 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -129\/99620 and -157\/1763274?\nAnswer: 17632740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 12 = -4*l, -2 = 2*r + 2*l + 2. Let p be (825\/(-20) - 1)*1*r. Let s = p - 117. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178 = 24*i - 442 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 909, -1, 250.\nAnswer: -1, 250, 909","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 525 = -2111. Let g = 1068 - l. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qpp when three letters picked without replacement from ggpgqggqggpgg?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**3 - 44*z**2 - 58*z + 348. Determine y(-20).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 233294080 and 6400.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) 53 (c) -1\/5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 270.1526kg in grams?\nAnswer: 270152.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7279 is divided by 112.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 22\/9 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44\/5*s**3 - 44\/5*s + 8\/5*s**2 - 8\/5.\nAnswer: 4*(s - 1)*(s + 1)*(11*s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 14*n**2. Let o(z) = -439*z + 1. Give q(o(j)).\nAnswer: 2698094*j**2 - 12292*j + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three halves of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 2*o - 69. Suppose -5*z + 12 = -o. Find the second derivative of -7*a**2 + z*a + 2*a**2 + 5*a**2 + a**2 wrt a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 7*r = -j + 5735, -2*r + 8 = 0. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2100?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -318 divided by -106?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 4, -4, -144 in descending order.\nAnswer: 5, 4, 2, -4, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 13, 35, 65, 103, 149?\nAnswer: 203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 10:19 AM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 48 = -3*v, -838*s = -5*v - 830*s + 76 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 769*m - 9 - 268*m - 248*m - 256*m.\nAnswer: -3*m - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3\/46, 47, 2, 2\/7 in ascending order.\nAnswer: -3\/46, 2\/7, 2, 4, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -m**4 + 49*m**3\/3 + 49*m**2 + 130. Find the second derivative of q(j) wrt j.\nAnswer: -24*j + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4486\/9 at least as big as 499?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2014 (base 5) to base 11.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 46*t - 18. Suppose 2*g + f + 0 = 7, -2*f = -5*g + 22. Let c be j(g). What is the tens digit of (3\/6)\/(3 + c\/(-56))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-442.7898\nAnswer: -1328.3694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11888519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 45 = -0*o. Suppose o = 3*u - 99. Is 17 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7832, -15588, -23344?\nAnswer: -31100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1049, -10472, -28241, -54350, -88793?\nAnswer: -131564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 2*o - 42, 0*d + 4*d - o - 45 = 0. Suppose -13 = -3*c + d. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 10:55 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*m - 0. Suppose -m*x - 10 = -35. Suppose -2*l + o = 2*l - 4, l = -x*o + 22. What is the highest common factor of l and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q - i = -13, 5*q = -3*i + 39 - 22 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1813 plus -13.66?\nAnswer: -1826.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, 3, -1.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 238*d - 7 = 235*d, 0 = -5*m - 5*d + 15 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -6. Suppose 3*d - 30 = -i*d. Let p be 1*3\/6*d. Are p and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*3162\/408)\/(4\/(-8)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3144, 3206, 3278, 3366, 3476, 3614?\nAnswer: 3786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h. Let m(i) = -i**2 + 5*i - 8. Let r(a) = m(a) - 4*o(a). Determine r(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -849 - -1209. Suppose -10*n = -7*n - u. Suppose -52 - n = -4*l. What is l rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -1\/3 (c) 1 (d) -6 (e) 3880\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2138 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-110)\/(0\/3 + -1). Let n = -287 + 277. Let k be 4\/n - l\/(-25). Let w(z) = -z - 1. Let b(j) = -3*j - 3. What is k*w(q) - b(q)?\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17224 + -17226.925. Let n = -1.925 + 2. Let r = y - n. Which is the biggest value? (a) -2 (b) -4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*(5 + 1*sqrt(8) + 1 + 3).\nAnswer: 2*sqrt(2) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*y + 8 + 25 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12002200 (base 3) in base 15?\nAnswer: 117c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (27*n - 66*n + 19*n)*(2 - 2 - 1 + (0 - 1 + 0)*(1 - 3 + 0)) as i + t*n and give t.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 7*c - 6. Suppose w + v - 5*v = -11, 4*w - 3*v = -5. Let z = -7 + w. Let g be a(z). Solve g = -2*d + 3*d + 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -k**6\/20 - 13*k**3\/6 - 5*k**2. What is the derivative of q(d) wrt d?\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3491.847 from 0.436.\nAnswer: 3492.283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 5 = 10*l. Suppose 2*p + 34 = -l*i, -6*i - 15 = -5*i - 3*p. Is 35 a factor of ((-6)\/i)\/((-3)\/12) + 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 3:23 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -819 + -29?\nAnswer: -848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/2)\/(d*d**(1\/9))*(d*d*d**(-3\/5))\/d**(1\/4) assuming d is positive.\nAnswer: d**(-83\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - i + 16 = -40, -2*h = 4*i - 42. Let r = -10 + h. Suppose p + 8 = r*p. Calculate the least common multiple of 4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 3*h - 6. Let g be d(5). Let s = -0.6 + 0.6. What is the third smallest value in -1\/6, s, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1125 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.31 + 0.18. Let i = 0.03 + -0.1. Let r = i + a. Put -5, 0.4, r in decreasing order.\nAnswer: 0.4, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 327 in -2\/5, 5, 4, 1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -3*z**5 - 357*z**4 + 1473*z**3 - 387*z**2 - 2214*z = 0.\nAnswer: -123, -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.14788 to two dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -406 = -16*h + 970. Suppose 64 = 5*l - h. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m + 2*m + m - 3*m + 2*m - m + (1 + 2 - 4)*(-4*m + 7*m - 2*m) - 3*m + 0*m + 2*m - 3*m + m + 4*m - 3*m + 14 + 0*m - 12.\nAnswer: -7*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57 - -60.3. Let a = -638106680.69999919 - -638106684. Let m = a - d. Round m to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 8 = -3*s - s, s + 3*l = -4. Let t be (-6)\/2 + -2 + s. Is (-1070)\/(-26) + t\/39 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -g**5\/60 - g**4\/4 + 7*g**3\/6 + 2*g**2. Suppose 4*k = -21 + 1. What is h(k)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**4\/w*w)**(1\/2) assuming w is positive.\nAnswer: w**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 954549915 to the nearest integer?\nAnswer: 30896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16197*f - 37*f**2 + 16197*f - 55*f**2 to the form q*f**2 + d*f + z and give q.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 w, and 1 s when four letters picked without replacement from {k: 3, m: 1, h: 2, s: 3, f: 2, w: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*j**2 - 33*j + 60 - 60 - 16*j**2 + 4*j**2 to the form b*j**2 + t*j + z and give b.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 12 = -m, v = -5*m - 0*v - 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 6) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 189486 = -694776. Let u = -20246 - -41676. Let l = u + q. Round l to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/335 and (-3)\/8 - 836*(-2)\/(-320)?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-36)\/(36\/(-6))*(-1)\/(-3). Determine b so that -190*b + 374*b - 192*b + 16*b**h + 1 = 0.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 8*u. Let s(x) = 20*x + 3. Let y(q) = 37*q + 4. Let m(n) = -5*s(n) + 3*y(n). Calculate m(l(p)).\nAnswer: 88*p - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16073 and -358.\nAnswer: -5754134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 - 5235*n + 85040.\nAnswer: -5*(n - 16)*(n + 1063)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -356 < -711\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 10001101?\nAnswer: 10001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 136, 1\/15177, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 536 divided by -5.\nAnswer: -536\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.85 + 6. Let a = 0.01 - 0.01. Which is smaller: a or h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1*((sqrt(125) + 4 + sqrt(125) + 0)*6*6)**2*-4.\nAnswer: 414720*sqrt(5) + 2674946","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/24 and (-24)\/4 + (-8)\/14 + (-1409640)\/(-215712).\nAnswer: 2568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -34476, -34489, -34502, -34515, -34528, -34541?\n\"Answer: -13*p - 34463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74, -70, -64, -56?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5432720 is divided by 2654?\nAnswer: 2636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 151 - 190 - (-1 - 1 - (-37 - -20)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -12. Let h be 5 - 3 - (2 - c). Suppose -2*u + 79 = h*q, 4*q = -u + 6*q + 44. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5152 and 1830248?\nAnswer: 7320992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1763 + 2003.75.\nAnswer: 3766.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 422, 134, -348, -1024, -1894, -2958?\nAnswer: -4216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/30513 and -7\/36777?\nAnswer: 374058867","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26321805 - -4269195. What is u rounded to the nearest one hundred thousand?\nAnswer: 30600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -398.8264 * 0.3\nAnswer: -119.64792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -124.1 - -124.7. Sort l, 4\/9, -3 in descending order.\nAnswer: l, 4\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*r + 3)*(77*r + 110*r - 100*r).\nAnswer: 174*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04476058 rounded to 3 dps?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**2 + 19*i - 14. Calculate o(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a litre in millilitres?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 19*b**3 + 3*b - 31. Let r(m) = m**3 + m. Let o(h) = 3*r(h) - z(h). What is the first derivative of o(f) wrt f?\nAnswer: -48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3 = 2*g, 5*g - g - 3 = 3*v. Suppose 0 = 2*j + g*j + 45. Let u(b) = -8*b + 6. What are the prime factors of u(j)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-688)\/32)\/(1*2\/(-364)).\nAnswer: 7, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -64, -53, -40, -25, -8, 11, 32?\n\"Answer: h**2 + 8*h - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 203 - 202. What is the remainder when 39 - (6 - 0 - 3) is divided by -22*(6\/q)\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/sqrt(5)*-4 - -1*sqrt(17)*-6.\nAnswer: -10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 15*j**2 + 5*j + 5. List the prime factors of q(-1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*k = 2, 3*v + v - 28 = -4*k. Let u = -3 + v. What is the third derivative of y**2 + 2*y**4 + 4*y**2 - 3*y**u wrt y?\nAnswer: 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-24)*3\/4.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h + 1. Let x be t(-7). Let o = x - 13. Suppose -u - 2*l + 48 = 0, -2*l = 2 - 4. What is the remainder when u is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63051 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/((u\/(u*u\/(u*u*u**15*u)))\/u)*u**(2\/51)*u assuming u is positive.\nAnswer: u**(-712\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/8))**(-25)\/(f**(2\/3))**29 assuming f is positive.\nAnswer: f**(-239\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44108, -88254, -132474, -176804, -221280, -265938?\nAnswer: -310814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*m**4*p**2 - 347*m**4*p + p**2 - 45*p + 31 wrt m?\nAnswer: -48*m**3*p**2 - 1388*m**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 + 36*n - 108.\nAnswer: -3*(n - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -437*a + 82*a = 133*a - 46848 for a.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/2)\/(-6)*(30\/(-4))\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 434.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -394*x - 2208 = 550 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -12*h**3 - 3*h**2 + 4*h - 3. Let p(v) = 11*v**3 + 4*v**2 - 5*v + 4. What is 3*p(r) + 4*z(r)?\nAnswer: -15*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and 257160179?\nAnswer: 257160178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2066*k**6 + 545*k**3 + 4867160*k**2.\nAnswer: -247920*k**3 + 3270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-8\/15)\/p**(-31) assuming p is positive.\nAnswer: p**(457\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cmlclmzmcam. What is prob of sequence cc?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 92 - 12 = 0. What is the remainder when 63 is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + p**2)*(-p**2 + 5*p**2 + 2*p**2).\nAnswer: 6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -403733 and 4644738.\nAnswer: 4241005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1239383099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(468) + 1)*-1*6)**2 + (sqrt(1872) + sqrt(1872) + 1 + 4 - ((sqrt(468) + 1 - sqrt(468) - sqrt(13)) + (sqrt(130)*-2)\/sqrt(10))).\nAnswer: -837*sqrt(13) + 67432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 195149.2 times -0.39\nAnswer: -76108.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*y - 28 = 0, -5*h - 8*y = -11*y + 5. Let a(f) = 72*f**3 + 84*f**3 + h - 157*f**3 + 4*f + 4*f**2 + 2. Suppose 3*i - 4*i + 5 = 0. Give a(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -276\/5179315 or 1?\nAnswer: -276\/5179315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11211 - 104401?\nAnswer: -53150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 380 times 0.4\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 20660422*30\nAnswer: 619812660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 138 + -185. Is s at least as big as -228\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -323 = -u - 3*f, 754 = 3*u - 3*f - 203. Suppose 2*t - u = 2*k + 4*t, -2*t - 475 = 3*k. List the prime factors of (-4)\/(-24) - k\/6.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10b8407 - -1?\nAnswer: -10b8406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -9735*f - 4108182. Calculate n(-422).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -923270*a = -923756*a - 23814 for a.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3435391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6.2 in 1\/8, -135, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9078409 is divided by 1323?\nAnswer: 1306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 141185 to the power of 1\/2, to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 5422\nAnswer: -1\/5422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 125*k*s - 2477*k - 20077672*s wrt k?\nAnswer: 125*s - 2477","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/15670 and 61\/450.\nAnswer: 705150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -323271, -323271, -323269, -323265, -323259, -323251?\n\"Answer: c**2 - 3*c - 323269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 2 (c) -4.3 (d) -1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -43 + -221054520?\nAnswer: -221055003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19374*w**2 + 38697*w**2 - 17*w - 19343*w**2.\nAnswer: -20*w**2 - 17*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6170 at least 5263?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 400173469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t + 21. Let x(h) be the second derivative of -19*h**3\/6 - 2033*h. Give q(x(s)).\nAnswer: 57*s + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1686?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -447, -943, -1511, -2157, -2887?\nAnswer: -3707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.2 - -1. Let z be 2*1\/(4 - 2). Let r = 34\/3 - 11. Sort z, j, r in increasing order.\nAnswer: j, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 14*z**2 + 36*z - 34. Give w(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 0*c = -5*c - 5, -c + 3 = p. Let k = p - -2. Let v = 9 + -5. Solve 2*n - v - k = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -5. Suppose 0*r + h*r + 10 = 0. Let x = r - -26. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-2 + -2) - 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4 = -s, 9 = f - s - 3*s. What is the lowest common multiple of 28 and ((-4)\/20 + f)\/((-1)\/(-5))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 591*y + 599*y + 596*y - 2388*y + 596*y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 8 + 12. Suppose -4*n = 4*m - 2468, 10*n = 9*n - 3. Suppose 0*r = 20*r - m. Solve r = -y*k + 11 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.6 + -4.6. Which is the smallest value? (a) -1\/4 (b) 2\/3 (c) -4 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 62 + -2314?\nAnswer: -2262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*t**2 + 7*t**2 - 3*t**3 + 54 + 10*t**3 + 6*t**2 + 0*t**2 wrt t?\nAnswer: 21*t**2 + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-16) + 0 - 11476\/(-608))\/((-425)\/2550).\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -40\/9?\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000111000010101010100100001 - -10?\nAnswer: -10000111000010101010100011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m + 144 = 22*m. Suppose 6 = -2*o + 26. Differentiate -m - 6 - 12 + o*h**3 wrt h.\nAnswer: 30*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 345 and 0.071914 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*s**3 - s**3 + 2*s - 3*s + 3*s**2 + 7*s**3 + 0*s**2 as g*s**3 + x + n*s**2 + z*s and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, l: 2, t: 4}. Give prob of picking 1 t and 1 l.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jow when three letters picked without replacement from {w: 1, e: 1, o: 2, p: 2, k: 2, j: 1}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**4 - 9640*u**3 + 67216*u**2 + 163368*u + 86508 = 0.\nAnswer: -1, 9, 2403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1.98642*-23.99\nAnswer: 47.6542158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 - (50 - 48).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1259b (base 14) in base 7?\nAnswer: -245154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**6 - 24*k**3 - 2*k**2 - 81 wrt k.\nAnswer: 120*k**3 - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9262.\nAnswer: 2, 11, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o + 28. Let r be l(-25). Suppose r*g = 751 + 56. Suppose 2*b = -h + 52, -g + 34 = -4*h + b. Calculate the smallest common multiple of 4 and h.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w, w = -3*t - 8 - 7 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2859, -1415, 29, 1473?\n\"Answer: 1444*d - 4303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7953696, -7953697, -7953698, -7953699?\nAnswer: -7953700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 smaller than -285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8308)\/465 + 18 + (-2)\/(-30)*-17?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 275*a**3 + 12340*a**2 + 10525*a - 1540.\nAnswer: 5*(a + 1)*(a + 44)*(55*a - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 - 6120*t**3 + 43 + 8412*t**3.\nAnswer: 2292*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**2 + 36*j - 88 = 0. What is j?\nAnswer: -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + d = 7. Let b(y) = y + 9. Let x be b(d). Suppose -5*m - 3*p = -3, 3*p + 3 = -x*m - 3. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8832 divided by -4416.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 567 + -557. What is the derivative of 173*z**2 - 211 - 170*z**2 - f*z**3 + 22*z**3 - 10*z**3 wrt z?\nAnswer: 6*z**2 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 7. Let a be (v - 1) + 5 + (1 - -4). What is the derivative of 20*m**a - 14 - 36*m**4 - 20*m**4 wrt m?\nAnswer: -144*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/3)\/(4\/(48\/118)). Let g = -112\/177 + i. Which is the closest to -1\/3? (a) g (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13036359 divided by 620779\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -24*b - 62. Let n(p) = p**3 - 11*p**2 + 29*p - 102. Let g be n(9). Determine h(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000068927642 rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-10))\/(15\/(-150))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2561 divided by -7.\nAnswer: 2561\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/25)\/((-3)\/(-5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -1\/5 (c) -4\/9 (d) 1412\/9 (e) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29148.\nAnswer: 2, 3, 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-120 - -1) + (153 - 392 - -234)\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 116 - 52 = 0. Factor 3*t**4 + 36*t - 46*t**2 - 7*t**3 - v - t**3 + 40*t**2 - t**3.\nAnswer: 3*(t - 2)**2*(t - 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6723 - -9556. Suppose 6*j - o = 3569. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 34?\nAnswer: 2f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 11:18 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 16, 160 in decreasing order.\nAnswer: 160, 16, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4 = l. Suppose v + l = 3. Calculate the remainder when 1 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 13016*a + 156199. What is b(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 7*o + 10. Let b be p(-7). Let r = b - -102. Suppose -n + r = t + 4*t, -117 = -3*n + 3*t. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -549276 or -549272?\nAnswer: -549272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49896, 53560, 57224, 60888?\nAnswer: 64552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 7:35 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (3 - (7 - 2))) + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(sqrt(11) + sqrt(55)\/sqrt(5)*-3 + sqrt(11))*3)**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 4:13 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*v - 27360 = 27*v. What is the remainder when v is divided by 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13\/4, 4\/5, -5, -8\/37, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -4*t - 356, -4*l - 5*t - 266 - 207 = 0. Is ((-5)\/10)\/(4\/l) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 5720620\nAnswer: -1\/2860310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (24\/16)\/((-6)\/(-16)). Let b be 8 + 0*3\/(-9). Let f = -4 + b. Solve f*k = -r - 8 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i\/(i*i**(-2\/15)))\/i)\/(i\/i**2)*i*i**(-6)*i**(-5)\/i assuming i is positive.\nAnswer: i**(-148\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*d - 49 = 231 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/24 + 16\/(-96))\/((-9)\/(-33))?\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 4*t**2 - 2*t + 2. Let u(c) = c**2 + 8. Let d be u(0). Suppose -4*h + 6*h = d. Suppose h*r - 3 = -15. Give q(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 4*l + 27*l + 175 = 0 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d**3 + 131*d**2 - 26*d. Let k be s(26). Solve 2*n + 2 = -3*v + 5, 5*n + 4*v + 3 = k for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1035537 divided by 25257.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5404 and 12594?\nAnswer: 34028988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 68 = -2*w, -o = 2*w - 26 + 6. Is 16 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 183982820?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o + 17*o + 10 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 + 32. Suppose 697 = q*a - 1203. Let n = 107 + a. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21235 divided by 5.\nAnswer: -4247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**2 - 6529*q - 3. Let d(x) = 2*x - 789. What is r(d(l))?\nAnswer: -8*l**2 - 6746*l + 3906336","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3568030?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 29 = 2*z. Suppose -77 = 5*l - z. Let k be 2\/4*(-4)\/l. What is the closest to -1 in k, -1\/5, -5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3118304*c**4 + 7252*c**2 + 156 wrt c.\nAnswer: -74839296*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 62, 5 in decreasing order.\nAnswer: 62, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 2*c**2 - 5*c - 4. Suppose -3*h - 5*w - 10 = 4, 2*h - 3*w + 3 = 0. Let r be j(h). Solve 0 = r*g + 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 33643602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 1173*f + 273 - 143 - 130 in the form w*f + o and give w.\nAnswer: 1173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121000121 + -11103?\nAnswer: -121011230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.22 + 0.219998. What is g rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16\/6 + -1)*-3. Let c = 658 + 216. Let h = c + -874.5. What is the nearest to -0.1 in 3\/7, g, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-84)\/9)\/(-4))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.8 * -3.46.\nAnswer: -37.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -402*77.\nAnswer: -30954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2131.0407513084235 - 0.0407395384235. Let j = c + -2131. What is j rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 20*k**3 + 5*k + 4. What is n(-1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 g when two letters picked without replacement from {i: 1, t: 4, g: 2, p: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2)*c**1*c assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j + 17. Suppose -2 = 3*p - 161. Suppose -5*l + l + 3*x = -43, 4*l - p = 5*x. What is the least common multiple of l and k(-7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 46 - 42 = 0. Suppose -320 = 4*h + r*q, -5*h - q = 219 + 184. Are h and -81 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.86955 nanometers to kilometers.\nAnswer: 0.00000000000586955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52988 - 18448. Round f to the nearest 1000.\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180605 is divided by 180577.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19, 33, 51, 73?\n\"Answer: 2*m**2 + 8*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 2*h + 18 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1))**(-36) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37 - -183\/5. What is the closest to 0.2 in -0.06, -0.3, h?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1036 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 6*l - 6. What is x(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122728629.\nAnswer: 3, 40909543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -22, -2379, 4, -2 in increasing order.\nAnswer: -2379, -22, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 452 and -0.38.\nAnswer: -171.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -80, -23798 in descending order.\nAnswer: 23, -80, -23798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01277 * -0.152.\nAnswer: 0.00194104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 2)\/(-5)*-1*2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -461.9077 and -5287.4.\nAnswer: -5749.3077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 8*s**2 + 9*s + 5. Let u be f(9). Suppose -u*a - 3*d + 15 = -9, -2*d = -6. Suppose a*z - 41 = 85. Is 19 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -750*x - n = -749*x - 2, 5*x + 2*n = 4. Let c(b) = -2*b - 3. Let o(d) = -6*d - 9. Let w(i) = -11*c(i) + 4*o(i). Determine w(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2635 take away -165.86?\nAnswer: -2469.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 1:57 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*0.21942143.\nAnswer: 0.65826429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 0.031, 9566, 3\/4, 1 in decreasing order.\nAnswer: 9566, 4, 1, 3\/4, 0.031, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-247)\/(-38))\/(2\/8). Let t = 193 + 152. Let h = t + i. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/11014 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2 = 0, 2*f + 52 = 2*n - 0*f. Let y = 192 + -167. Let l be 14\/35 - (-90)\/y. What is the greatest common divisor of n and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 756.05067 to one decimal place.\nAnswer: 756.1","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7092*j - 6*j**3 + 7092*j.\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**4 - 4*j**3 + j**2 - 4. Let c(t) = t**2 - 2*t**4 + 0*t**4 - 5*t**3 + 0 - 5. Let l(y) = -4*c(y) + 5*i(y). Find the third derivative of l(w) wrt w.\nAnswer: 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-180)\/(-1056))\/(1890\/(-2310))\nAnswer: -5\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + q - 3, 0 = -5*o - q - 3*q + 12. Suppose o = 2*k - 0 + 4. Put k, 4, -5 in increasing order.\nAnswer: -5, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of f**7\/210 + f**6\/90 - 2*f**3 + 1. Let d(y) be the third derivative of u(y). Find the third derivative of d(o) wrt o.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - f**2 - 4*f + 8. Let w(b) = 1. Give -p(v) + 6*w(v).\nAnswer: -v**3 + v**2 + 4*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 371*z = 10529 + 972 for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(0*l + 3*l - 2*l)*(6*l - 21*l + 5 + 19*l).\nAnswer: 4*l**2 + 5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4*s - 3 - 1 = 0, -2*l - s + 5 = 0. Let t be 10\/(-15) - l\/(-6). Suppose t = -4*g + 3*g + 11. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 5*g - 3*a, -5*g = -5*a + 13 + 2. Let w be (2 + g)*2\/(-2). Let i(x) = 2*x**2 - 3*x + 2. Let v be i(w). Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u + 2. Suppose -13*o = -12*o - 6. What is a(o)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9 - 4) + (-3)\/1. Suppose d*z + 305 = -s + 36, 3*z - 4*s = -409. Round z to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 2*m**3\/3 + 12*m**2 + 40*m - 77. Factor d(z).\nAnswer: 2*(z + 2)*(z + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2, 1\/3, 3.3 in descending order.\nAnswer: 3.3, 2, 1\/3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4347 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 1*(0 - 1). Let z be (0 - 0)*(o + -1). Let i = -221 + 225. Solve 2*w + 24 = 2*v + i, -4*w - 20 = z for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 1:31 AM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 56516 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 808 = j + 2*x, j - x = 6*j - 3995. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a + 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*s - 5*d = -17, 21 = 3*s + 5*d. Suppose 0 = s*h + 16 - 76. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 31 = -5*l, 8 = 3*l - n - 4. Solve 2*z = -z - k + 11, -l*z - 10 = -4*k for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 21.2 (b) -2 (c) 106 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**23)\/w*w)\/w)**(2\/11) assuming w is positive.\nAnswer: w**(-46\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p + 8. Let r be m(-4). Suppose 19 - r = 5*a. Suppose a*n + 2*k - 204 = 0, -3*k = -n - 0*n + 68. What are the prime factors of n?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*o - 4*o - 11 - 85*o**4 - 24 wrt o?\nAnswer: -340*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 8*y**2 - 2*y + 9. Let d(c) = c**2 - 15*c + 31. Let f be d(13). Suppose 3*b - 28 = h, -4*b + 33 - f = h. Calculate u(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-16)\/4)\/(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 18*z + 4*f = -29*z + 7*z, 11 = -z - 5*f for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 57246, 0, 7, -5, 4, 5 in descending order.\nAnswer: 57246, 7, 5, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 392 - 395. Which is the second smallest value? (a) 3 (b) -80 (c) -0.3 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -337, -626, -915, -1204?\nAnswer: -1493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zhsssshzhshs. Give prob of sequence zzs.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*b + 2709 - 7749. Calculate the smallest common multiple of b and 300.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 2*o + 13. Calculate the remainder when 36 is divided by k(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -2 - (0 + 0 - 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wdwvdwwwww. What is prob of sequence dwwd?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/((z**(-3)\/z)\/z)*z\/z**(2\/23)*z)\/(z\/(z*((z**(-5)*z)\/z)\/z)*z*z\/z**4) assuming z is positive.\nAnswer: z**(113\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 2*r**3\/3 - 3*r**2\/2 + 6*r - 160. Calculate g(4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 25 = 57. Let m(a) = a**2 - 6*a. Suppose -21*x = -19*x + 8. Let y(w) = -w**2 + 7*w - 1. Let p(c) = x*y(c) - 3*m(c). Give p(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 109 - ((-20 - (-23 + (-28 - -32))) + (1 - 13))\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -65970, -66392, -66814?\n\"Answer: -422*v - 65548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 1 = -13 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 3*b - 13 = -c, -b = 4*c + 15 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 48180, 2, 1\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q**2 - q**2 + 0*q**2. Let v(l) = 11*l**2 + 570*l - 570*l. What is v(s(g))?\nAnswer: 44*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1570 divided by -314\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6868 - -3379049\/492. Calculate the common denominator of 107\/1066 and s.\nAnswer: 6396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(56)\/(4*sqrt(8)))**2 + -2 + sqrt(847)).\nAnswer: -55*sqrt(7) + 125\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l**4\/7 + 54*l**3\/7 - 528*l**2\/7 + 2176*l\/7 - 3072\/7 = 0.\nAnswer: 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -88379\/14 - -6317. Calculate the common denominator of f and 8\/63.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v - 5*v - 4*v - 2*v)*(0*v + v - 2*v) to the form r + q*v + z*v**2 and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o. Let l(d) be the third derivative of 0 + 16\/15*d**5 + 0*d**4 + 21*d**2 + 0*d**3 + 0*d. What is n(l(m))?\nAnswer: 64*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -19883 less than -30264?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a century in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -23965104, 7, 2\/9, 0.4?\nAnswer: -23965104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a + 86. What is the remainder when u(32) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 13*y**2 + 12*y + 2. Determine s(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 368058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 150515308 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 4*a - 2 - 4, a - 2*n - 7 = 0. Suppose -5*k + 256 = -2*s, 2*k = -a*s + 76 + 15. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 2\/6)*3 - -6540. Suppose -d + r = 12*d. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.6 (b) -0.122 (c) 12\/7 (d) -1\/6 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 m when two letters picked without replacement from mimimofiif.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -p - 17, -4*p + 0*g = -3*g + 3. Let m(s) = 11*s + 12. Let w be m(p). Let b = w + -44. Which is bigger: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 4:30 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 407442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 22947 = -5*o - 2*g, 0 = -5*o + 4*g + 22962. Suppose -257*p + o = -247*p. What is the remainder when p is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/6550 and -66\/8562815?\nAnswer: 85628150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*-8.11651\nAnswer: 0.1623302","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Is 28492609641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 11*i + 182. Let j(s) = 17*s + 273. Let c(g) = -5*j(g) + 7*y(g). What is the derivative of c(n) wrt n?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -5*c - 6. Suppose 0 = -a + 2*a + 3, 0 = 3*i + 3*a - 12. Let g = c + i. Which is bigger: 2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 847650 is divided by 16620.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193463281?\nAnswer: 11, 17, 23, 31, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -3\/11 (c) 2 (d) -142 (e) -37 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/4 + (-837)\/(-18). Calculate the greatest common factor of d and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62 + 72. Put a, 5, -2 in increasing order.\nAnswer: -2, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of 32*r**6\/15 - r**5\/30 + 35*r**4\/12 - 7*r**2 - 6. Find the third derivative of z(a) wrt a.\nAnswer: 1536","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.44044s to nanoseconds.\nAnswer: 74440440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 divided by 5?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98 and 115640?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t - 1. Let i be x(-2). Let r = 13 - 3. Suppose -4*p + 15 = -d + 2, r = 3*p - d. Solve 0 = c + p*c - 3*q - 15, 3*c = i*q + 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 915 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**5 - 222*n**4 + 1730*n**3 + 9310*n**2 + 12552*n + 5192 = 0 for n.\nAnswer: -118, -2, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8628?\nAnswer: 2, 3, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 + 32 = -29*m. Put -101, 4, m in decreasing order.\nAnswer: 4, m, -101","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4087 is divided by 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -83346.888 rounded to the nearest 100?\nAnswer: -83300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -10*f - 93. Let z(t) = 7*t + 62. Let h(s) = -5*a(s) - 7*z(s). Let q be h(-26). Solve 5 = -q*k - 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/525879939 or -1?\nAnswer: 1\/525879939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4314176 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 140 - 134. Let d(h) = -h**2 - 5*h + 8. Let q be d(-6). Let m(u) = 6*u**q + 4 + 5*u + 7*u**3 - 1 - a*u**3. What is m(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 297 and 702?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**3\/6 - 11*q**2\/2 - q. Let v be i(-7). Let m = v + 8. Calculate the greatest common divisor of 12 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -0 + 4. Let h = k + 1. Solve 5*u + h*u = -20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 18*j**2 + 10*j - 17. Let z be q(10). Suppose -4*h - 5*f = -z, -4*h + 4*f - 455 = -1311. List the prime factors of h.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = j - 4*d, 0*j - 3*j = -3*d - 15 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -205*z**2 - 37910*z - 220080.\nAnswer: -5*(z + 6)*(41*z + 7336)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 19481638 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 560 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (316*r**4 - 103*r**4 + r**2 + 110*r**4)*(-4*r + 2*r - 10*r).\nAnswer: -3876*r**5 - 12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j - 6. Let f be -2 + -1 - (0 + 4). Let t be r(f). Let n = -8 + t. Solve n*u - 5 = -5*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(20\/6)*44\/132\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - 100 + 82. Suppose 0 = -2*f - p*k + 6, 0 = -4*f - 5*k + k + 12. Solve f*v - 4 = 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-1))\/(104\/16)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -530 - -5?\nAnswer: -521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 7 + 63 = 0. Let h = 0 + 2. Suppose 2*z - 3*q - 5 = -h*z, z - q - 1 = 0. Solve 0 = -5*g - w + 3, -6*g + z*g + n = -5*w for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 211*m**2 - 13*m + 7. Let x(j) = 105*j**2 - 6*j + 3. Determine 4*s(v) - 9*x(v).\nAnswer: -101*v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16232121.\nAnswer: 3, 1803569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -34593903, -69187810, -103781717?\n\"Answer: -34593907*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j - 6. Let h(f) = -4*f + 7. Let w(l) = -4*h(l) - 5*t(l). Is w(2) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2268\/60 - 2\/(-10). Which is smaller: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*v + 99952 = 100120 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -5*m + 2485. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116804691 divided by -3?\nAnswer: -38934897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20 or -5128\/17?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 12:58 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fiikl. What is prob of sequence li?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 669 * -0.1\nAnswer: -66.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*n = 8, 4*h - 3*n - 48 = 0. Suppose -s + 5*b + 16 = -2, 2*s - b + h = 0. Is s at most -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35.67 * 39\nAnswer: -1391.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 1009*h = -1003*h + 33, 71*b = 70*b + h + 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -33. Let r = 95 - x. Is 37 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2526)\/(-1260) + 2\/(-2)*2)\/1. Let v(w) be the second derivative of 0*w**2 + 16*w - 1\/63*w**4 + 0*w**3 + 0 + h*w**5. Factor v(a).\nAnswer: 2*a**2*(a - 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7 - ((-475)\/50 - (-3)\/(-2)). Suppose 0 = -0*f + 2*f - 4*o + 2, f + o = -1. Put 5, g, f, 2 in decreasing order.\nAnswer: 5, g, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91643935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.5 in -6\/7, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27321628?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1081353206 to the power of 1\/2, to the nearest integer?\nAnswer: 32884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30568 = 2*j - 6*m, 4*j - 5*m - 9360 = 51783. Round j to the nearest 100.\nAnswer: 15300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 17*m**2 + 19*m + 21. What are the prime factors of l(18)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**3 - 10*s**2 + 3*s - 11. Let b(h) = 5*h**3 + 20*h**2 - 5*h + 21. Let y(u) = 3*b(u) + 7*d(u). What are the prime factors of y(10)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r + 2. Let i(k) = 1 + 1 + k + 1 - 1. Let u be (3 - 1) + (-18)\/(-6). Give u*a(q) - 4*i(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q - 6. Let r be b(4). Let j be (-1)\/(r\/(-4) + -2). Does 4 divide ((-39)\/6 + 2)*j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.36536 rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away -104.117?\nAnswer: 104.317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -8953268834327 - -0.075\nAnswer: -8953268834326.925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**3\/17 + 2850*d**2\/17 + 11426*d\/17 + 8574\/17 = 0. Calculate d.\nAnswer: -3, -1, 1429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 71952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*i - 4 - 6 + 15 - 4 to b*i + k and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and -13.755?\nAnswer: 13.855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 120*i - 2863. Give h(-92).\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5*r = 10, 2*c - r - 4 = -0*r. Suppose 0 = -5*s + 4*b + 338, b = -c*b + 9. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**3 - 1\/2*h**2 + 5\/2*h - 1 = 0. Calculate h.\nAnswer: -2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z + 6. Let h(v) = 14 + 0 - 7 - 8. What is 30*h(n) + 5*l(n)?\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -3*y + 19, 2*y + 3*o = -y + 27. Let p(b) = y*b - 3*b - b. Let x(r) be the second derivative of -r**4\/3 + 55*r. Give x(p(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 24570 (base 8) to base 3\nAnswer: 112120012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y**7\/y)\/y*y*(y\/(y\/(y\/(y\/(y\/(y\/((y\/((y*y**5)\/y))\/y)))))))\/y)\/(y**0)**(-21) assuming y is positive.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8579 divided by -73.\nAnswer: 8579\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-16)\/(-10))\/((-1)\/(-5)). Suppose -3*i = g - 5, 4*g + q + 2 = 3*i. Solve 4*z + 2 = -i for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v - 1. Let b be (-6 + 1)*(-1 + 0). Let m be p(b). Let u = m + 38. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 9*k**2 + 11*k - 18. Let q be j(8). Suppose -740 = g - q*g. Let h = g + -66. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4434 by 6.\nAnswer: -739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.4129 + 1.5355. What is p rounded to two dps?\nAnswer: 2.95","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 4*v + 3)*(-1 - 1 + 1)*(v + 0*v - 5*v) as w*v + q + k*v**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -520, -1335, -2604, -4477, -7104, -10635?\nAnswer: -15220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -5*n**3 - 40*n**2 - 58*n - 63. Let l(u) = 6*u**3 + 41*u**2 + 60*u + 63. Let o(y) = -5*i(y) - 4*l(y). What is the units digit of o(-34)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)*-2 - sqrt(162) - (sqrt(2) + (sqrt(50)*-3 + sqrt(2))**2)) + -3*(sqrt(2) - -1*(sqrt(2) - sqrt(2)*-3))**2*1.\nAnswer: -542 - 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 10771952677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 566 - 582 = -4*h. Solve 6 - 10 = -h*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2*-1*sqrt(5) + sqrt(30)\/(sqrt(54)*-2 + sqrt(6)).\nAnswer: -5 - 11*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 58, -793.\nAnswer: -793, -1, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -160.09, -0.1, 0.4.\nAnswer: -160.09, -0.4, -0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7 - ((0 - 1) + 2 + -4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21871, 174914, 590373, 1399474, 2733443, 4723506, 7500889?\nAnswer: 11196818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 173023*o**4 - 31 + 10 - 173097*o**4 + (-3*o**3 + o**3 + 0*o**3)*(0*o - o + 2*o).\nAnswer: -76*o**4 - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*p - 15*p - 36*p + 22 - 5*p + 26*p - 53*p.\nAnswer: -109*p + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1262511 kilograms to milligrams.\nAnswer: 126251.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -8*i + 64. Let v be w(17). What is the remainder when (348\/(-10))\/(v\/240) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 171, 688, 1549, 2754?\nAnswer: 4303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 189256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246 = 13*z + 13*o - 64, -4*z + 3*z + 4*o = 24 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 107, 211, 305, 383, 439, 467, 461, 415?\nAnswer: 323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tft when three letters picked without replacement from {t: 3, f: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/(-3) - 8\/(-12). Let j be 1*(r\/1 + -1). Suppose 5*h = -2*m + j, -3*h - 5 = -4*m - 1. Calculate the remainder when 1 is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/4*0 + 3. Let v(z) = -10*z + 2*z + h*z. Let y(b) = -4 - 50*b**2 + 51*b**2 + 4. Calculate y(v(r)).\nAnswer: 25*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*k**2 - 1)*(7*k - k - 25*k) + 3*k**3 - 12*k**3 - 4*k**3 + (-k + 0*k - k)*(-2*k**2 - 2*k**2 + 2*k**2).\nAnswer: -47*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 33071119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 x when two letters picked without replacement from {f: 1, x: 4, j: 1, z: 5, p: 1}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 25 + 0 + 4 + -3. Let b = p + -10. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1497 + 1880.5. Let l = d + -383. What is the closest to 0.1 in -7, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 5, 67, -7, 0 in increasing order.\nAnswer: -18, -7, 0, 5, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/24)\/((-1218)\/1624).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249 = -5*c + 3*m, -5*c + 161 = -5*m - 94. Suppose 198 = 34*u + 32*u. What is the highest common divisor of c and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 2:12 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -717409*o + 30*o**3 + 717409*o.\nAnswer: 30*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -3*m**3 - 18*m**2 + 3*m + 18 = 0.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -462*i - 5859497 + 5859497 as z*i + k and give z.\nAnswer: -462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-468)\/(-12) - 33)\/(4\/((-16)\/(-6))). Solve -2*o - 16 = -l - 7, t*l = 2*o + 12 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + t - 19 = 0, -46 = -3*t - 49 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*s + 506, -5*k + 0 = -10. Let u = 2266\/9 - s. Let p = 1 + -1. Is p bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -324*t**5 + 5*t**3 - 142*t + 4. Let i(r) = 162*r**5 - 3*r**3 + 71*r - 2. Let u(h) = 5*i(h) + 3*y(h). Find the second derivative of u(q) wrt q.\nAnswer: -3240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2330 or -2326?\nAnswer: -2330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -337953 and 257926.\nAnswer: -80027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.07 - -0.27. Let z be (-1)\/((-2 + 1)\/2). Suppose -o = -z*o - 1. Which is the closest to o? (a) h (b) -0.3 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -112.2, -2\/19, 179 in descending order.\nAnswer: 179, -2\/19, -112.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 38990 divided by 2102\nAnswer: 19495\/1051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -1221202000010200?\nAnswer: -1221202000010211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 + 116238*n.\nAnswer: 116238*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 10*o**2 - 9*o + 1. Let a be p(-9). Which is bigger: 6 or a?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 7 + f**3 - 1500*f + 3*f**2 + 747*f - 15*f**2 + 738*f. Calculate v(13).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 9. Let y be c(-4). Suppose -20 - y = -5*w. Suppose w*k + 9*r - 4*r - 1605 = 0, 0 = -2*k - 5*r + 654. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2054, 16457, 55546, 131663, 257150?\n\"Answer: 2057*s**3 + s**2 + s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4430 - 7?\nAnswer: -4437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m + 225 = -153. What is the remainder when m is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 1:56 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/6*-1 - (-10)\/15. Suppose -9 = -2*m + t. Solve -3*i + 17 = 5*x, -2*i - m*x - 7 = -5*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2*sqrt(180)*1)**2 + -2*-6*(3*sqrt(10)\/sqrt(2))**2.\nAnswer: 1260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5842377621 to the nearest integer?\nAnswer: 76435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113836299.\nAnswer: 3, 739, 51347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 255*h + 8222. What is x(-38)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 616 and 112.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 76 = -2*k. List the prime factors of k.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 495 and 6765?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 18, 81 in ascending order.\nAnswer: -24, 18, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**2 + 2*w**2 + 7 - 3 + (-2 + 2 - w)*(-5*w - 6*w + 2*w).\nAnswer: 8*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5640829*b*i**3 - 514468*i**3 - 6*i wrt b.\nAnswer: -5640829*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 135, -28 in decreasing order.\nAnswer: 135, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4891 is divided by 62?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 45635711.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -5*w**2 + 4*w + 5. Suppose -3*n + 4 = -n, 5*c + 214 = -3*n. Let d = 40 + c. Let o(p) = -p**3 - 14*p**2 + 11*p + 14. Calculate d*o(m) + 11*z(m).\nAnswer: 4*m**3 + m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/5 (b) -150 (c) 120 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, z: 5}. Give prob of sequence tt.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - -6*1*2\/4. Suppose -x + c = o, 0 = -2*o + 3*o - 4. What is the remainder when 8 is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -12*l**3 - 14*l**2 - 6. Suppose 329*c = 285*c + 264. Let y(g) = -4*g**3 - 5*g**2 - 2. What is c*h(n) - 17*y(n)?\nAnswer: -4*n**3 + n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.4967 to 1 decimal place.\nAnswer: 22.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, c: 3, d: 2, j: 5}. Give prob of sequence cdwd.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.984 + 0.486. What is r rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 0*m + 4*m**2)*(m + 3*m - 2*m)*(1 - 2 - 1)*(-187*m + 242*m - 133*m).\nAnswer: 1248*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -6*n**2. Let l(m) = 2*m + 2. Let u be l(2). Let x(z) = u - 5*z + 4 - 10. Give x(f(a)).\nAnswer: 30*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 872645.1 nanograms?\nAnswer: 0.0008726451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 7:19 AM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - (((-2 + sqrt(2))*-3 + sqrt(2))**2 - sqrt(2) - sqrt(2)) - (sqrt(2)*-1 + -2 - sqrt(2)).\nAnswer: -42 + 29*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 2*u**2 + 2*u + 15. Let o be j(4). Let a = o + -55. Solve 3 = -v - a for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03 + 0.078. Let b = q - 8.108. Does b = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 3\/5*v**3 + 2*v**2 + 8\/5*v = 0. What is v?\nAnswer: -2\/3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**4 + 2*n**3 - 5386838*n**2 + 412*n + 31390.\nAnswer: -12*n**2 + 12*n - 10773676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -453074667*p + 453074667*p - 5 + 5 - 3*p**3 + 5*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lllp when four letters picked without replacement from {l: 4, p: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -20.9*0.5\nAnswer: -10.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**5 + 4*x**5 + 0*x**5 + (-2*x**2 + 4 - 4)*(-5*x + 5*x + 6*x**3).\nAnswer: -8*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -5, -14, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 343 divided by -7.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.04, 7, 13, -0.08?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(((t**(-5)*t)\/t)\/t*t))\/t)\/t)\/t**4*(t**1)**36 assuming t is positive.\nAnswer: t**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 216447122?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 123165 and 6400555?\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12466220.\nAnswer: 2, 5, 13, 47947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -8*c**2 - 8*c + 6. Let i(s) be the second derivative of -7*s**4\/12 - 7*s**3\/6 + 5*s**2\/2 - 2*s. Let h be (-3)\/(-6)*10*-1*1. What is h*p(m) + 6*i(m)?\nAnswer: -2*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -550, -1112, -1718, -2368, -3062?\nAnswer: -3800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -339*f - 423*f - 19*f - 27335 for f.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231*v - 128*v - 2212 = -280*v for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 12*g - 36. Let v be f(17). Suppose 0 = -5*n - 2*h + v, 2*n = 2*h - h + 25. Let c(r) = -2*r + n*r - r. Let y(s) = -s**2. Determine y(c(w)).\nAnswer: -64*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 8*j = 21. Let y(h) = j - 12*h - 7*h - 4 + 8*h. Calculate y(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 4*i**2 - 12*i - 6. Let j be -1*36\/21*448\/128. Determine v(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 156*p - 1. Let c be j(1). Let q = -86 + c. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -1. Let d(x) = -2*x**3 + 23*x**2 + 11*x + 16. Let g = -192 - -204. Let w be d(g). Solve -4*f + 1 - w = u*b, 5*b = -4*f - 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1846286*v**3*x - 3*v**3 + 72*v**2 + 3*v + 73 wrt x.\nAnswer: -1846286*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((1\/12)\/(16\/24)). Let d be 28\/(-10) + n\/10. What is the hundreds digit of ((-9)\/(-27))\/(d - 739\/(-369))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/4*4 + 2. Suppose 3*r - 2*u = -6, 2*r + 3*u + 3 = -1. Let k be r + (46 - (-1 + 1)). Calculate the highest common divisor of s and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/7 + 9*s**2\/7 - 12*s\/7 - 20\/7.\nAnswer: (s - 2)*(s + 1)*(s + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 1. Let q(o) = 5*o**2 + 5. Suppose 26*x - 18*x - 176 = 0. Suppose 6 = -23*h + x*h. What is h*z(k) + q(k)?\nAnswer: 5*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t**3 - 8*t**2 - 6*t - 4 - 4 + 16*t**2 - 2. Let u be x(-11). What is u rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*i - 5*u + 143, 623*u - 622*u - 3 = 0 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 7 - p + 1 - 6 + 1 + 3. Let z(t) = -1. Calculate j(b) + 6*z(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 1. Let o = -83 + 120. Let i = -39 + o. Let f be r(i). Solve 3*h - k = 4*h - 1, 4*h - f*k + 23 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 i when three letters picked without replacement from oicivlsso.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 869078004.\nAnswer: 2, 3, 72423167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*p - p - 144. Solve o - 4*o = p for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 238, 0, -17, -5.\nAnswer: -17, -5, -3, 0, 238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 192 and 0.1.\nAnswer: 19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n - 2. Let k(l) = l**2 + 4*l + 6. Let t(r) = 2*k(r) + 22*s(r). Determine w so that t(w) = 0.\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 5*k**3 - 7*k - 6. Let h(z) = 14*z**3 - 20*z - 17. Let f(g) = 16*g - 4. Let x be f(8). Let c = x + -70. Suppose 3*t = -c + 3. What is t*d(v) + 6*h(v)?\nAnswer: -v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -c**4\/6 + 6*c. Let j(m) be the third derivative of 0*m**3 - m**2 + 0*m**4 + 0*m - 1\/30*m**5 + 0. Give g(j(i)).\nAnswer: -8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 525018 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + 2915442018.\nAnswer: 2915442016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.13, 1\/9, 0.27 in increasing order.\nAnswer: 1\/9, 0.27, 1.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 1227481091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pphphhppzhhpzhh. What is prob of picking 1 h and 1 p?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, h: 3, i: 1, s: 2, k: 3}. What is prob of picking 1 g and 2 k?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: Let n(s) = 51*s. Let l(p) = 30*p**2. Give l(n(u)).\nAnswer: 78030*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/14*8\/(-4)*7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - 22. Let p be (-2)\/4*(1 - i). Sort -0.2, p, 3\/2.\nAnswer: -0.2, 3\/2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 - 18 + 11)*(-3*a**3 - a**3 + 5*a**3).\nAnswer: -38*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4*w**2 + 26*w - 12. Let q(i) = 5*i**2 - 25*i + 10. Give -3*q(n) - 2*z(n).\nAnswer: -7*n**2 + 23*n - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/6*-1)\/(156\/1248)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 46*h. Let i(q) = 133*q + 197. Let u(v) = -27*v - 41. Let g(p) = -5*i(p) - 24*u(p). What is g(a(f))?\nAnswer: -782*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4912*w - 5556*w + 4797*w + 3 - 1 - 4683*w)*(-w + 6*w - 3*w) to the form j*w + y + v*w**2 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286 is divided by 72?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 14 = -2*d, 2*v - 8 = d + 1. Suppose v*b + 19 = 2*p + b, 0 = -4*p - b + 3. Suppose -t + 2 + p = 0. Solve f = -3 + t for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 8522, 2 in descending order.\nAnswer: 8522, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u**3 + 4*u**2 - 4*u + 3. Let q be h(2). Suppose -3*x - 101 = -4*f, -x = -3*f - 2*x + 79. Let k = f + q. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4840 by -242.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1310 + -284638015.3.\nAnswer: -284639325.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 4584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2170 + 2172. Let y(b) be the third derivative of -1\/240*b**6 + 0*b + 0 + 0*b**3 + 1\/48*b**4 - 4*b**w + 0*b**5. Solve y(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 110329.2597 to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -11*j. Suppose -256 = -12*x - 40. Let v(r) = 14*r**2 - x*r**2 + r**2. What is w(v(t))?\nAnswer: 33*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**3 - 3*b**2 - 5*b - 5. Let n(g) be the second derivative of -g**5\/5 - 5*g**4\/12 - 3*g**3\/2 - 9*g**2\/2 + 3*g. What is 5*i(r) - 3*n(r)?\nAnswer: 2*r**3 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 8 - 52. Let h = 24 + n. Suppose 0*m + h = m. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*u**2 + 65*u**3 - 70*u**3 - 20*u**2.\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 69749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/15, 902, 0.2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 2*u - 3*u - 13 = 0, -10*u + 100 = 6*l + 168 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 + 22.5. Let v = z + 8. Let f be (6\/(-8))\/((-60)\/32). Which is the closest to f? (a) v (b) 1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6184?\nAnswer: 2, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 148, 4, -2\/7, -9 in decreasing order.\nAnswer: 148, 4, -2\/7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -417189 or -417188?\nAnswer: -417188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/8)\/m*m*m*m*m**(-13)*m*m**21*m**19)**(-1\/12) assuming m is positive.\nAnswer: m**(-79\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 965848?\nAnswer: 2, 13, 37, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*d**3 - 185*d**2 + 832*d - 1 wrt d.\nAnswer: -168*d - 370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -286152 >= 5\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 170237583291.306 minus -3?\nAnswer: 170237583294.306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 1771 = -3*p, -2*p + 7*h - 4*h = -1158. Let o(j) = -3*j**2 + 8*j**2 + p*j - 585*j. Let g(i) = -32*i**2. Give g(o(q)).\nAnswer: -800*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1079150 and 17.3?\nAnswer: 1079167.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 5*r + 20, -5*r + 7 = -3*z + 37 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5280 and 594?\nAnswer: 47520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -y - 0. Let f(w) = 271*w + 3. Let m be f(y). Is -1 + 2 + (-3 - m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**8\/168 + 152*v**6\/15 - 12241*v**4\/24 - 19*v**2 + 5*v - 2. What is the second derivative of z(h) wrt h?\nAnswer: 40*h**3 + 7296*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 - (0 + -7) - -16\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/4)\/((-3)\/(-4)). Let m = 4.061 - 0.061. Which is the third smallest value? (a) -2 (b) z (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 68 = -16*f, -2*f - 58*p = -61*p + 21 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 185\/(-10) - (-1)\/2. Let a be (-4)\/6*v\/12. Suppose -a - 9 = -5*m. Solve m*b = -2 - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -435, 0.2, -2\/17, 2\/7, -15 in decreasing order.\nAnswer: 2\/7, 0.2, 0, -2\/17, -15, -435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31626\/90 + 2\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 17, 5, -2\/3, -0.013 in ascending order.\nAnswer: -2\/3, -0.1, -0.013, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**3 + 19*c**3 + 15*c**3 - 19*c**3.\nAnswer: 18*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111111100 + 10?\nAnswer: -111111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -468.7 + 443. Let t = p + 26. Which is the closest to 1? (a) 1\/7 (b) 0 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 divided by -75.\nAnswer: -14\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - -53?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-9)\/f*f**(-3\/8)*f*(f**0)**(-8))**(2\/37) assuming f is positive.\nAnswer: f**(-75\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + i = 2. Let o be -1*(1 - (i + 3)). Let y be (-5)\/(-9)*(-3)\/(-2). Is y bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -102 + 106. What is the highest common divisor of d and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 79 and 15?\nAnswer: 1185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2325 + 2325 + 90*s)*(-s**2 + 2*s - 2*s)*(-4*s + 4*s + s) to p*s**4 + i*s**2 + h + y*s**3 + l*s and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*i + i + i - 27*i as q + k*i and give k.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pcxzmmv. Give prob of picking 1 z and 1 x.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15.77 + 0.87. Let p = 14.8893 + v. What is p rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 6 + -4 + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 498013588 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56978 is divided by 2187?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10087934 a multiple of 673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5 = 5. Suppose n + 5 = u*v - n, 4*v - 11 = 3*n. Is (-11 - -1767) + (-1)\/v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 95*o - 297. Let s(p) = 96*p - 321. Let i(v) = -13*b(v) + 12*s(v). Let h(w) = -21*w + 2. Determine 18*h(z) - 4*i(z).\nAnswer: -46*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**2 + 3*m - 111. What is the lowest common multiple of x(10) and 56?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(3\/2)*q**1*(q\/q**(-1\/15))\/q**(-5\/3)*q**(2\/15)*q\/q**(-1\/2)*(q*q*q\/(q\/q**(-1\/3))*q)**0 assuming q is positive.\nAnswer: q**(103\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 297 = 526*z - 522*z, z - 4*t = 87. Calculate the least common multiple of 2600 and z.\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-3)*(24\/100)\/(18\/(-27))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y**2 - 5*y - 18. Let c be o(6). What is the greatest common factor of 684 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 8:44 AM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 2*j + 10, -4*a - 70*j - 40 = -62*j for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 21, 40, 63, 90?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 19*t**2 + 4*t - 10. Let u be v(-18). Suppose b - u - 309 = 0. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 t, and 2 v when four letters picked without replacement from {t: 3, w: 8, v: 2, c: 6}.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = a - 4*a. Suppose -3*d + a*n = -1781, 3*n + 0*n = -6. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.22 in -1\/7, 2\/3, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -32 + 7c4?\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 88, 1, 6 in increasing order.\nAnswer: 1, 6, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 37596994 or 37596993?\nAnswer: 37596994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 155 + -147. What is the remainder when 10 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -z**5\/240 - z**4\/12 + 3*z**3\/8 + 48*z**2. What is y in j(y) = 0?\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -13376822*a**2. Let h(g) = g**2. What is o(h(x))?\nAnswer: -13376822*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t - 2*t + 4*w, 0 = 3*t - 2*w - 12. Suppose 0 = -2*z + t + 2. Find the third derivative of -4*l**3 + 0*l**2 + z*l**2 + 2*l**3 + 0*l**3 wrt l.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 238 = -13*y, 3*y + 1008*s = 1011*s - 48 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 3*y - 4. Let a = 2 + -5. Let k be t(a). Let w be ((-6)\/k)\/((-5)\/10). Round w to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1414679?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.037073 * -4\nAnswer: -0.148292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*d = -40*d + 114*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2 + s - 281. Calculate h(-9).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4441 - 4441. Let v(h) = h**2 + 3*h - 3. Give v(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -160213, -160216, -160217, -160216?\nAnswer: -160213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*w + 13*w + 3*w)*(0*w**2 + 17*w**2 + w**2).\nAnswer: 594*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lmlsmllllldlljld. What is prob of picking 1 s, 1 j, 1 d, and 1 l?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1506*a - 3010*a - 21*a**2 + 17*a**2 + 1504*a - 221*a**2.\nAnswer: -225*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gy when two letters picked without replacement from {s: 3, g: 1, y: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 + 2)*(4*t**2 + 33 - 33) + 3*t**2 + 0*t**2 - 4*t**2)*(6*t**2 + 3*t - 3*t).\nAnswer: 42*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 73, 688, 2111, 4600, 8413, 13808, 21043, 30376?\n\"Answer: 43*g**3 + 146*g**2 - 124*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 8*v + 44 = 0. Suppose -2*f = -16 - v. Solve 8*a = 6*a + f for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 347, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1*(sqrt(336) + (sqrt(336) - sqrt(336)*1) - sqrt(336)))\/sqrt(12) + 2)*-6.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and 492.\nAnswer: 492.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 114, 183, 286, 441, 666, 979?\n\"Answer: 3*a**3 - a**2 + 51*a + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-4))\/(-21*(-53)\/127624)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 26 = 5*r, -o + 14*r - 11*r = -15. Calculate the remainder when 49 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60285.584 - 60027.584406. Let h = -258 + v. Round h to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/6, 7.4, -11, 1.6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -j**3\/6 + 2*j**2 + 2*j. Determine a(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3268?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*2*(2 - 3). Let z = -3 - m. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 789669920?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 15*i - 4*i. Suppose 9*n + 5*q - 230 = 4*n, -i*n + 228 = 3*q. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71230389.\nAnswer: 3, 23743463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18126 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03 - -0.01. Let o = 0.27 - q. Let g = 0.07 + o. What is g rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1271 - 4129*w - 3906 + 651 + 941 with respect to w.\nAnswer: -4129","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 11*p + 3 + 3.\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 37 = -33. Let w be 3 - n\/(-6) - 7\/(-3). Let x be 14 + -10 + (-1 - w). Solve x = 4*o - 5*q + 3*q + 24, -o = 4*q - 3 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -1313147?\nAnswer: -1313151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6)\/(5\/(-60)*-2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -6*z**2 + 258*z + 6. List the prime factors of k(21).\nAnswer: 2, 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31549 - -410206\/13. Which is smaller: i or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 5*z + 535, -5*z = -4*k + 5*k + 123. Let g = k + 238. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 17*t + 89. Let j be d(-5). Put -1, j, -232 in decreasing order.\nAnswer: j, -1, -232","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 10 - 11)*(-4 + 3 - h + 4).\nAnswer: 6*h - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 661, 2885, 6587, 11761, 18401?\n\"Answer: -v**3 + 745*v**2 - 4*v - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -971 less than -0.2?\nAnswer: 970.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 410\/40 + (5\/(-4) - -1). Suppose -10*b - 2*i = -7*b - 1384, 5*i = d. Is b a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*a**4\/2 - 93*a**3\/4 - 36*a**2 - 65*a\/4.\nAnswer: -a*(a + 1)**2*(14*a + 65)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**2)**36*(j**(4\/5)\/j)\/(j\/(j\/(j**(-1)*j)*j)) assuming j is positive.\nAnswer: j**(-176\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -141435 divided by 2245?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(132) - ((4*(sqrt(132) + sqrt(132)*-3) + sqrt(132) - sqrt(132) - sqrt(132)) + sqrt(132)))\/(sqrt(36)\/(sqrt(6)\/sqrt(2))).\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -197*j + 158*j - 518 + 39 - 301 for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17135?\nAnswer: 5, 23, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iia when three letters picked without replacement from aiaggggigggagggggggg?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1326491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -543576 divided by -142\nAnswer: 3828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*u**3*w**3 + 2*u**3*w**2 - 2*u**3 + 430*u**2*w**2 + 23*u*w**3 - 112*u*w**2 + 18752*w**3 wrt w.\nAnswer: 66*u**3 + 138*u + 112512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**5 - 1158*k**4 - 93028*k**3 + 600288*k**2 = 0.\nAnswer: -481, -104, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2358*-3\nAnswer: 7074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2\/7 + 27*t\/7 - 156\/7.\nAnswer: 3*(t - 4)*(t + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 33 (c) -0.05 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -44\/61 in 151, -3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -292.08 + 348.111. Let n = t - 56. What is n rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 11 = -16. Calculate the smallest common multiple of 9 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 14) to base 6\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(1008) - (0 + sqrt(1008)))**2*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h + 20. Let k be l(9). Find the common denominator of -83\/22 and 27\/12 - k - 1578\/216.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18478 - 18478 + 9*o**2.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17775001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 24. Let n = u + 14. Let d = 5\/113 - 138\/565. Which is the third biggest value? (a) 84 (b) d (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 23*h - 55. Determine y(25).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {q: 10, d: 2}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -a9?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*1*sqrt(1377) - (sqrt(1377) - 3*(sqrt(1377) + -1*sqrt(1377))))*1)**2*-3.\nAnswer: -66096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -610, -4 in decreasing order.\nAnswer: 5, 4, -4, -610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7118135, 14236259, 21354381, 28472501, 35590619, 42708735, 49826849?\nAnswer: 56944961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -6*w - 8. Suppose 0*s - 6 = -2*s. Let r(f) = 2*f + s*f + 12 - 5. Let h(u) = 2*j(u) + 3*r(u). Find the first derivative of h(k) wrt k.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i + 10. Suppose -33 + 18 = 3*u. Let z be n(u). Is 2\/53 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a\/a**(-2\/7))*a*a**4*a*(a*a**1)\/(a**(1\/5)\/a))\/(a**3*a**0*a**(2\/5)*a**(1\/6)*a) assuming a is positive.\nAnswer: a**(1039\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 6*i. Let b(x) = 120*x. Calculate k(b(f)).\nAnswer: 720*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25749 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00093299 rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -88*r + 92*r - 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 297118 + 7?\nAnswer: 297124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.1? (a) 0.03382 (b) 6 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1305 and 112763655.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 869?\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -479, -0.1, 1\/4, -187 in decreasing order.\nAnswer: 1\/4, -0.1, -3, -187, -479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-110 - 110 - 133)*(-14*r**4 + 2*r**3 - 4*r**3 + 18*r**4).\nAnswer: -1412*r**4 + 706*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q - 7. Let v be d(9). Suppose -v*l + 15 = l. What is the second derivative of 4*h + h**l + h**5 - 5*h**5 + h**5 wrt h?\nAnswer: -40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 152 + 3*h**2 - 79 - 78 in the form c*h**2 + d*h + p and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-544)*(-455515)\/(-3495).\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 2 (b) 0.4 (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17873518*t**3 + 73831085*t?\nAnswer: 107241108*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -1, 12\/29, -3, 7, -16 in decreasing order.\nAnswer: 7, 12\/29, -0.3, -1, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 15. Let k = h + -12.4. Let p = 0.8 - k. What is the second biggest value in 5, -5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 4:00 AM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 - -65\/2. Which is the closest to s? (a) 1 (b) 0.4 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by (-44)\/(-1) + (-4 - -5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 times -482588?\nAnswer: 11582112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 5:24 AM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 4598.6 to the nearest one hundred.\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 110*v + 107. Let p be j(-1). Let n(l) = 2*l**2 + 9*l + 6. Give n(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1398 and 16.\nAnswer: 11184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/821?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43968 * -430.\nAnswer: -18906240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + -138 + -7 + (20 - (2 - 3)).\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 40 = -5*c, 0*k = k. Calculate the lowest common multiple of -4*(-2)\/((-2)\/(-1)) and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 5, -3*l + 165 = 5*u + 2*l. What is the remainder when u is divided by (5529\/388)\/((-6)\/(-8))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by 65?\nAnswer: -17\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1314260 - -19143\nAnswer: -1295117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/82 and -25\/246.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 3. Suppose -b - 4 = 4*n + 3*b, -21 = -i*n + 5*b. Suppose 3 = -4*w + 19. What is the remainder when w is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/3*d + 1\/3*d**3 - 2\/3*d**2.\nAnswer: d*(d - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -529, 1, 135 in increasing order.\nAnswer: -529, 1, 9, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + (-11016)\/(-30) - (-2)\/(-10). Let i = k + -190. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zztc when four letters picked without replacement from zcczzhhhztzzzzzzzhcz.\nAnswer: 11\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.1, 0.06, -279?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 4300*n**2 - 16*n - 17200.\nAnswer: 4*(n - 2)*(n + 2)*(n + 1075)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 115 + -5. Let y = -6 - -6. Suppose c + y*c - 11 = 0. Calculate the greatest common factor of c and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/(-1) - (-15)\/(-3). Let k(a) = -a**2 - 16*a - 25. Let m be k(d). Suppose m*s = 25*s - 190. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 144742 to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/10 + (24\/(-10) - -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 2, -1.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 + 183 = 19*p. Suppose 0 = -q - 4*a - 162 + 630, q = -p*a + 468. Is 18 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -0.91018, -8 in ascending order.\nAnswer: -8, -3, -2, -0.91018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 5 = 0, -f - 22*i + 18*i = -21 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31565748 is divided by 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 4*j**2 - 6*j - 5. Let w be t(-5). Suppose 0*u - 3*u - 45 = w. What is the remainder when 9 is divided by (40\/u)\/(6\/(-9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 2*g - 25. Let q = 0.9 - 1. Put g, 0.3, q in increasing order.\nAnswer: q, 0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -61 (b) 5 (c) 0.3 (d) 2\/59 (e) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 750286604 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: Let h(r) = 6*r**2 + r - 2*r**2 - 3*r**2 + 4 - 2*r**2. Let a be h(-2). Sort 5, a, 4 in decreasing order.\nAnswer: 5, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*v - 602 = -5*v + 31*v for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a minute in seconds?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 3*t - 519 = 0, t + 1280 - 1678 = -3*s. Calculate the least common multiple of s and 645.\nAnswer: 5805","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.066537 millilitres in litres?\nAnswer: 0.002066537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -74 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.51? (a) -809 (b) 3 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 25, 107, 235, 403, 605, 835, 1087?\n\"Answer: -q**3 + 29*q**2 + 2*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-56*s**2 + 1 + 379*s + 406*s - 790*s)*(7 - 7 + s**2) to the form c*s**4 + p + v*s**3 + o*s**2 + i*s and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w - 3. Let t(i) = 6*i**2 + 3*i - 6. Let x(j) = -5*j**2 - 2*j + 4. Let p(r) = 2*t(r) + 3*x(r). What is p(u(l))?\nAnswer: -48*l**2 - 72*l - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o**(-13)\/o)*o*(o**4*o*o)\/o*((o*o\/o**(-3\/4)*o)\/o)\/(o\/(o*(o**(2\/15)\/o)\/o*o)) assuming o is positive.\nAnswer: o**(1373\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 + 41. Suppose 0*i + 15 = -f*i. Let p be 3*(-1 + (0 - 0)). Sort p, -1, i in ascending order.\nAnswer: i, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 6 = l. Sort 0, l, 1 in descending order.\nAnswer: l, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/791? (a) -0.4 (b) 0 (c) 144 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a + 14. Let w(r) = -1. What is -c(n) + 3*w(n)?\nAnswer: -2*n - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -353849 equal to -353856?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.76 and -0.24314066.\nAnswer: -1.00314066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*f**2 + 25*f**2 + 2*f**2.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15290302*r**2 + 12788255 wrt r?\nAnswer: 30580604*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 168\/112*116\/27. Is 6 at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/3)*c*c**(-1\/5)*c\/c**(1\/5)*c\/c**(2\/11)*((c\/(c\/c**(3\/7)))\/(((c\/c**(1\/3))\/c)\/c))**(6\/31) assuming c is positive.\nAnswer: c**(74923\/35805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 5*o**5 - 680*o**4 + 3300*o**3 - 3250*o**2 - 3305*o + 3930 = 0.\nAnswer: -1, 1, 2, 3, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 - (2 + 2)) + -8 - (0 - (-20 - 0))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3676 and 16?\nAnswer: 14704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z. Let i(u) = -u**2 + 336925. Determine i(o(m)).\nAnswer: -m**2 + 336925","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 + (-6 - -2) + 8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d**2 + 38*d + 1. Let h(y) = y**3 - 17*y**2 + 152*y + 7. Calculate 2*h(b) - 9*j(b).\nAnswer: 2*b**3 + 2*b**2 - 38*b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-75 + 75 - 42*g)*((0 - 4 + 1)*(1 - 2*g**3 - 1) + (2*g**2 - g**2 - 2*g**2)*(3 + g - 3)).\nAnswer: -210*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -26 - (-21 - -7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 426 = -10*b + 1136. Solve t = 66 - b for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2*c + 35, -4*p - 74 = -4*c - 10. Calculate the remainder when 83 is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1 + 2*(sqrt(98) + sqrt(98) + (-5*sqrt(98)*-1 - sqrt(98) - sqrt(98)))*-6))**2.\nAnswer: -840*sqrt(2) + 352801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -172040 to the nearest ten thousand.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1642*m = -1615*m + 882*m + 149625 for m.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -9e6 (base 16) to base 5\nAnswer: -40114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*l + 1512 - 2997 + 1565 in the form n + d*l and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o - 9. Let v be z(-9). Suppose j = -v*j + 2, -4*w + j - 2 = 0. Is -7 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -2*i**3\/3 - i**2 + 2*i + 9. Let w = -3 - -6. Suppose -1 = 2*x - u, 4*u + w = 4*x + 3*u. What is g(x)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(250) + sqrt(250) + (2*sqrt(250) - sqrt(250)) + sqrt(250))*-5 + -2*sqrt(250)*-3)\/(sqrt(495)\/sqrt(11) + -3*sqrt(180)).\nAnswer: 14*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, w: 3, t: 1}. What is prob of picking 1 t and 1 n?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7578585 and 8085.\nAnswer: 83364435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 12*v - 11. What is b(12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h + 9. Let y be g(9). Suppose 5*b - 105 = -4*a + 475, y = 4*b. Let x(u) = 72 + 3*u**2 - a + 73. Let c(k) = -k. Determine x(c(v)).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/89029? (a) -0.5 (b) 2 (c) -1\/5 (d) -2\/15 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.3 - 0.3. Let z = x + -5.5. Let b = -475.9 - -476. Sort b, 2\/23, z, 1\/2.\nAnswer: z, 2\/23, b, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - f**2)*((2*f - 3*f + 0*f)*(-f - 4*f + 4*f) + (-5*f + 3*f + 7*f)*(-1 - f + 1)).\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (3*2 - 1). Suppose -2*n = -2*g - 8, -24 = -3*n + 2*g - s*g. Suppose d + 2*w + 6 = 0, 0 = 2*d + w - n*w - 15. Sort d, -4, -0.5 in decreasing order.\nAnswer: d, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 1628?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*f + 5*c, 2*f = -2*c + 3*c + 2. Let v be -2 + 1 + f - -2. Find d, given that -v*d**5 - 36*d**4 + 36*d**4 + 2*d**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -31*b**3 + b**2 + 4*b + 4. Let t be w(-1). Solve -8*a - 24 = -11*a + 3*c, 0 = 3*a - 5*c - t for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2883528.\nAnswer: 2, 3, 29, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -156 * 3.\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 41568474 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: What is the sixth smallest value in 1, 1\/2, -0.5, 4, 7, -90?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, r: 3, t: 1, k: 1, g: 1, a: 2}. Give prob of picking 1 t, 1 a, and 1 k.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2771715 is divided by 106604.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -486 + 489. Let n be f - 3 - 4 - -27. Solve 2*a - 19 = -3*j, j = 4*a - n + 6 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**(-2\/53)*k*k\/k**(-5))\/(k**(-10))**(-13) assuming k is positive.\nAnswer: k**(-6411\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1\/65, -1\/4, 9, 3\/7, -1 in descending order.\nAnswer: 9, 3\/7, 1\/65, 0, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/5 - 109*a\/5 - 108\/5.\nAnswer: -(a + 1)*(a + 108)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*u + 42 = 4*u, 0 = 5*q + 4*u - 118. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 0.328, -5, -146.\nAnswer: -146, -27, -5, 0.328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-968)\/40 + 2\/10. Is 14 a factor of 231\/9 - 32\/d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {p: 7, x: 7, f: 4}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - (-16)\/(-6))\/(10\/30). Let u be (-1)\/(-4) - 1\/4*k. Solve 2*n = -4*f - 8, 4*n - f - 7 + 5 = u for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.057 or -1\/38?\nAnswer: -0.057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (744\/(-434))\/((4\/56)\/((-3)\/6)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*j + 2*c - 0*c, 0 = j - 2*c + 8. Suppose 3*a + 152 + 163 = 2*k, -4*k + a + 625 = j. Let t = k - 110. Is 14 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7 + 2.3. Let u = -3\/26 + -37\/130. What is the closest to 0 in 2\/13, x, u?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.8 + -0.2. Let l = w - -8.24. Let z = -0.01 + l. Round z to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10230406 divided by 3?\nAnswer: -10230406\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5.8392 + -2611\nAnswer: -2605.1608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -267*h**2*u**2 - h**2 - 120*h*u**2 - h*u wrt h?\nAnswer: -534*u**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 557*p - 3293. Calculate r(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/24*(-1)\/((-15)\/(-18))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 5*y = -17, 4*b + 4921*y + 49 = 4926*y for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o**2. Let f(a) be the third derivative of a**7\/1260 + a**4\/2 + 14*a**2. Let g(c) be the second derivative of f(c). What is y(g(n))?\nAnswer: 20*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*y + 2*y**3 + 5*y + 167*y**4 - 226*y**4 - 10*y + 0 + 2 - y**2 to o*y**3 + h*y**4 + t*y**2 + r + d*y and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 - 55462925023*z**3 - 3*z**2 + 55462925032*z**3 + 3*z**2.\nAnswer: 9*z**3 - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111101001111011 (base 2) in base 15?\nAnswer: 13eed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of v**5\/60 - v**4\/24 - 3*v**3\/2 - 12*v**2. Let b be l(4). Let h(s) = -s + b + s + 2 + s. Calculate h(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 532 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1448 is divided by 371?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/68670 and -23\/35?\nAnswer: 68670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -6*g**3 + 9*g. Let t(d) = d**3. Let c(o) = 5*t(o) + u(o). Find the second derivative of c(y) wrt y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -p - p. Let g be 2 + 7*p*-17. Let l = 39 + -28. What is the highest common factor of l and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -155 + 156. Put q, -5, -9 in descending order.\nAnswer: q, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/2)*(((((y*y**5)\/y*y)\/y)\/y*y)\/y)\/y)\/(y**(2\/5))**(-29) assuming y is positive.\nAnswer: y**(151\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 302189, 302030, 301871, 301712, 301553?\n\"Answer: -159*k + 302348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*n + 223*n + 505 + 50.\nAnswer: 292*n + 555","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((3 + (sqrt(605) + -2 - sqrt(605)))*1 + (sqrt(125) + 4 - 1*sqrt(5)*-2)))**2.\nAnswer: 280*sqrt(5) + 1080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1949 to three dps.\nAnswer: 0.195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(6*d - 4*d - 4*d) + (-5 + 3 + 1)*(-527 + 1014 - 593)*(2*d - d - 2*d).\nAnswer: -110*d","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -t**2\/2 + 3*t - 3. Let r be d(3). Solve 0 = -r*u - u + 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*l + 2*o - 40, 10 = -l - 3*o. Let c = -19 - l. Sort 1, -2, c in decreasing order.\nAnswer: 1, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 591808 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -59 - 15\/2*k**2 + 0*k. Let q(z) = 5*z**2. Give q(o(m)).\nAnswer: 1125*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -227, -222, -213, -200, -183, -162?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -12137634 (base 8) to base 11\nAnswer: -1564420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 193 + -173. Find the common denominator of -61\/36 and 5\/(-35)*(-5)\/w*214.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2098 - 15*m - 2098 as n*m + h and give n.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/36)\/((-3)\/(-18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-five halves of a kilogram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 2*u + 33, 19 = -w + 4*u - 2. Let a be (w - 138\/(-15))\/((-3)\/(-15)). Suppose 0*t = 2*t - 40. Which is smaller: a or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 876 - 606. Calculate the greatest common factor of 36 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.25 + 0.2434. What is w rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -87, -101, -133, -189, -275, -397, -561?\n\"Answer: -l**3 - 3*l**2 + 2*l - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9238 = -77*z - 145*z - 21670 for z.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 483349871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 3*t - 3 = 12, 5*f - 5*t - 15 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 2*d**2 - 10*d + 2*d. Give i(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -142.04368 + 0.04368. What is the biggest value in s, -2\/5, 2\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 9, r + 87 = 3*u - 4*r. Let q be -1 - -2 - ((-4 - -3) + -3). Suppose 0 = q*d - 31 - 39. Calculate the smallest common multiple of d and u.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5295411540 plus -4573?\nAnswer: 5295406967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*j + 11*j**3 - 45*j.\nAnswer: 11*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14506.\nAnswer: 2, 7253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -104139 - 276?\nAnswer: -104404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0105 minus -602?\nAnswer: 602.0105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19155?\nAnswer: 3, 5, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 373 + 0 - (42\/2)\/(-7). Suppose 75 = 373*k - g*k. Find the common denominator of -32\/427 and k.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c**2 + 4*c + 2. Let q be (3 - (0 + 0)) + -3. Let p be (-198)\/(-45) - 4\/10. Let a = p - q. Let l(m) = 2*m**2 + 2*m + 1. Determine a*g(d) - 7*l(d).\nAnswer: -2*d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*d - 497*d + 166*d - 24 = -164*d + u, -4*d - 6*u = -26 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 636 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of d**2 + 48*d + 0 - 1\/60*d**4 + 3\/10*d**3. Factor s(k).\nAnswer: -(k - 10)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3120 divided by 4\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 2*i - 3 + 3)*(-35*i - 54*i + 4*i) as b*i + a*i**2 + s and give a.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 3 (c) 349\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26278124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + s - 1. Let h(z) = -49*z**3 - 3*z**2 - 3*z - 10. Let b(k) = h(k) + 3*n(k). Find the first derivative of b(l) wrt l.\nAnswer: -147*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 3198*m**2 + 51 - 80 + 15 + 519*m**2.\nAnswer: 3717*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47131*c**4 + 10*c**3 + c**2 + 2*c + 1410691 wrt c.\nAnswer: -1131144*c + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9272596 divided by 4?\nAnswer: 2318149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 221 and 195?\nAnswer: 3315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-5 + sqrt(567) + 0 + 4 + 0 + sqrt(567) + sqrt(28) + -1 + 4*(sqrt(7) + 1)))**2.\nAnswer: 864*sqrt(7) + 36324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f - 1. Let k(u) = 3 - 5 - 12 + 14*u. Suppose x + 0*x - 3 = 0. Suppose 3*b - v + 4 = -2*b, -x*b - 7 = 4*v. What is b*k(n) + 12*i(n)?\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + -143)\/((-3)\/2). Suppose -4*i + 92 = 2*n, -n - 2*i = n - a. Suppose -16 - n = -2*z. What is the greatest common divisor of z and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 56*m + 127. Let a(k) = -38*k - 84. Let i(s) = -7*a(s) - 5*z(s). Calculate i(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -31, -53, -65, -61, -35, 19?\n\"Answer: c**3 - c**2 - 26*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.023144 rounded to four decimal places?\nAnswer: -0.0231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 - 0 - (8 - 14)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22508)\/(-935) + -24)\/(28\/(-154))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*k - 2*o + 2, 0 = -4*k - o + 10. Let m = k + 96. Calculate the greatest common divisor of m and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1081 is divided by 1069?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -15.2*-824\nAnswer: 12524.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35270, -141095, -317470, -564395?\nAnswer: -881870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7624544 millilitres in litres?\nAnswer: 0.0007624544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1504, -7418, -17278, -31084, -48836, -70534?\n\"Answer: -1973*b**2 + 5*b + 464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2631294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11 - -12?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 1 - -1)\/(1\/(-41)). Let d = w - -63. What is the least common multiple of d and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -6\/11 (b) -3\/3034 (c) -39 (d) -50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in -1\/3, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.28 and -15535210?\nAnswer: 15535209.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 188 - 62. Is 3 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 6*c - 10. Let w(k) = 5*k - c - 14*k - 1 + k**3 + 2*k**2 + 2. Let f be w(-4). Solve a - 5*m + 6 = 4*a, -4*m = f for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-23 - -27 - (0 - -6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6*3\/(-12))\/(4\/8). Let w = u + 80. What are the prime factors of w?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + 1 + 4 + -2 + 2. Suppose -2*y = -f*y + v - 20, -5*y + 2*v = 20. Put -2, -20, -1, y in decreasing order.\nAnswer: -1, -2, y, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 95254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/176959 and 17\/44.\nAnswer: 7786196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 13\/5 of a gram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 8*n + 6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01789594 to 3 decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -23, -1\/3, -1415\/4, 3, -2, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and (-10)\/25 + (-14)\/(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vvvvvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-9)*3*(-2 + 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1392986 is divided by 9476.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*x = -72*x + 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gz when two letters picked without replacement from gvhggvvzvzsx?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46.4 + 48.57. Let x = -0.97 + 0.8. Let y = x + k. Which is the nearest to -0.2? (a) -1 (b) y (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - m - 652. Let l be (m\/(-3))\/(1\/(-15)). Round l to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of 5*x**3\/6 + 8*x**2 + 4*x. Suppose 1552*n - 5 = 1551*n + 4*l, 0 = l + 2. Give t(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/1)\/(1*-1). Suppose v - 60 = -3*v - p*u, -2*u = -v + 2. Suppose -11 = 4*k - w - 60, -4*w = k + 9. What is the smallest common multiple of v and k?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 629304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111011010111000101 (base 2) to base 13.\nAnswer: -20b400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-68)\/51)\/((-4)\/198) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**1\/(z\/(z*z**(-3\/7))*z)*(((z**(-1\/3)\/z*z)\/z)\/z)**(8\/7)*(z\/(z**(1\/5)\/z)*z**(2\/7))\/(z**(1\/2)\/z*z*z**(1\/7)) assuming z is positive.\nAnswer: z**(-347\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6908102068 to the power of 1\/4, to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -809? (a) 4\/3 (b) 1 (c) -0.1 (d) -3 (e) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4200050.\nAnswer: 2, 5, 167, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12761 (base 9) in base 16?\nAnswer: 21c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzffaaaaazvv. What is prob of sequence av?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 26*n - 29. Let x = -80 - -73. What is the units digit of q(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2*g - 0*w, 11 = g - 5*w. Suppose 4*y - 17 = -g. Suppose 0 = 4*h + j - 30, 0 = -y*h + h + 5*j + 34. Solve -2 = 2*v - h for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 717051562 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15071.67 hours in minutes?\nAnswer: 904300.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006452552 to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 4*v = 3*g + 18 - 116, 0 = -5*g + 5*v - 60 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4300298921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, j: 2, n: 1, c: 1, g: 1, u: 1}. What is prob of picking 1 g and 1 f?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -174 (b) 1\/4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 5*t**2 + 3*t - 2. Let s(z) = 10*z**2 + 6*z - 5. Let q(d) = -2*s(d) + 5*x(d). Let j = -2 + 0. Is q(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56681731501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -31\/162232?\nAnswer: -31\/162232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*c = -64*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*l + 210, 4*v - 420 = -l - 0*l. Let a be (0 + 0)\/(-2 + 0). Suppose -v = -a*u - 5*u. What is the remainder when u is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27.973 + 0.373. Let k = 28 + p. What is the closest to -0.2 in 4\/7, -4\/7, -1\/2, k?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 61?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 1027*m - 19. What is the units digit of p(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5195 + -1?\nAnswer: 5194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 191180018 to the nearest integer?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -34, -66, -96, -124, -150, -174, -196?\n\"Answer: f**2 - 35*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1*2*1191\/397 and 7 - 1 - (1 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(6 - 63\/18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**4)**(-1\/2)*b**3*(b**(-5\/4)\/b)\/b*b*b)**(-3\/4) assuming b is positive.\nAnswer: b**(3\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1419)\/99 + (3 - -10)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p + 435 + 78 = p. Calculate the remainder when 79 is divided by p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6700 and 228236?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*w = -1. Let j be w + 1 - 18\/(-63). Sort j, -2, -0.1 in decreasing order.\nAnswer: j, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 315*o**2 + 561*o**2 + 358*o**2 - 166*o**2 - 23*o**2.\nAnswer: 1045*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6807 - 20419\/3. Which is the second smallest value? (a) 4 (b) 5 (c) q (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0048431 - -2.\nAnswer: 1.9951569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/123 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 106*t - 231*t - 113 + 119*t + 4*t + 2*t - 4*t + (0 + 1 - 4)*(2*t - t - 3*t) + t + 3 - 4 + t to the form d*t + n and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-7)\/u)**(-2\/19))**(4\/7) assuming u is positive.\nAnswer: u**(8\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 1. Let q be (2\/(-3)*-6)\/(-1). Let b be (q\/(-5))\/((-14)\/(-35)). Solve -5 = i + m - b, -s = -5*i + m for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 18*w - 11. Let k(v) = 250*v - 155. Calculate -85*a(o) + 6*k(o).\nAnswer: -30*o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5007089990.81 - 38689164.81. Let w = m - 4968400914.00000057. Let j = 88 + w. Round j to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a + 3. Let s(d) = -319*d + 31 - 330*d + 646*d. Let b be s(12). Give m(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*z - 235 + 219. Solve 0 = -b + c - 4*c + z, -3*b - c - 10 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.26405 to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 357718*j**2 + 47*j - 8. Is v(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - -1065) + 17\/(-51)*-6. What is the highest common divisor of w and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1264871 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 678121?\nAnswer: 71, 9551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 883.7 - 878.7. Let h = -94 + 89. Which is the second smallest value? (a) p (b) -0.5 (c) h (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2 + sqrt(1088).\nAnswer: -2 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -2*3\/18 + 939\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -417*o + 6*o**3 + 128*o + o**2 + 145*o + 128*o + 17. What is the hundreds digit of u(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 4. Let m = -2 + h. Solve 0*b - 8 = -m*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -921\/8? (a) -2 (b) -2\/3 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 20*o**2 + 61*o - 5. Let x be u(22). What is the highest common divisor of x and 984?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-6) + (-7)\/(-2). Suppose -11 = -w*g + 37. Calculate the least common multiple of g and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14808875299 - -1.\nAnswer: -14808875298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -97531 - -2?\nAnswer: -9752c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 r when three letters picked without replacement from {i: 6, s: 7, r: 4}?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 x when three letters picked without replacement from {f: 3, c: 3, o: 4, p: 3, a: 2, x: 1}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 200 and 712?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*o + 54*o - 3 = 0. Suppose 0 = 3*b - o*l - 444, -b - l = -39 - 111. What are the prime factors of b?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1070.3188 + -58.32.\nAnswer: -1128.6388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, m: 5}. Give prob of picking 2 m.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 10*d**3 - 46*d**2 - 15. Let x(t) = 25*t**3 - 116*t**2 - 39. Give 13*u(w) - 5*x(w).\nAnswer: 5*w**3 - 18*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5594, -4766, -3960, -3176, -2414, -1674?\n\"Answer: -11*u**2 + 861*u - 6444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -16. Sort 5, -3, u.\nAnswer: -3, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 20 = 8*w. Let n(i) = 5*i**2 + i. Let u be n(-1). Find the second derivative of w - 4 - u*y - 4*y**3 wrt y.\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**4 + 5054*q**3 - 3200436*q**2 + 9565960*q - 6370576 = 0 for q.\nAnswer: 1, 2, 1262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 332021255 (base 6) to base 2\nAnswer: 10110110010101101100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 33, 37, 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.79158 rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -0.1 (c) 2\/9 (d) 30 (e) 1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (248 - 257) + (-2 - (-2 + -6)) - -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - g - 1. Let t(x) = -1729 + 872 - 3*x**3 + 6*x + 863 + 5*x**3. What is -2*t(o) - 12*u(o)?\nAnswer: -16*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*m + 9*m - 15*m to the form l + u*m and give u.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1*(sqrt(2057) + -3) + -5 + sqrt(2057) + (sqrt(2057) - -4*sqrt(2057)))**2*-4*-5.\nAnswer: -73920*sqrt(17) + 6051420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25.39 - -0.39. Let d = -28 - g. Let s be (-8)\/6 + (-2)\/(-3). Is d not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**2*h*n**3 - 17*c**2*h*n**2 + c*h**3*n**3 - h**3 - 3*n**4 wrt n.\nAnswer: 6*c**2*h + 6*c*h**3 - 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3626.578 litres to millilitres.\nAnswer: 3626578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q. Let n(m) = -m + 25. Let l be n(11). Suppose l - 1 = z. Let j = 7 - z. Determine o(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2 - 4 + 4 + 1. Let q(u) = -u**3 - 5*u**2 + 8*u + 2. Let h(r) = -r**3 - 6*r**2 + 10*r + 1. Let y(o) = 5*h(o) - 6*q(o). What is -5*k(t) + y(t)?\nAnswer: t**3 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-240*a**2 + 87*a**2 + 96*a**2)*(3*a + 0*a + 3*a).\nAnswer: -342*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2 + (0 + sqrt(2736))*-1 - ((sqrt(2736) + 1)*-1 + sqrt(2736) + -3 + 1*sqrt(2736))))**2.\nAnswer: -288*sqrt(19) + 10980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -188, -332, -476, -620, -764, -908?\n\"Answer: -144*z - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61239 is divided by 648?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7742*-0.793\nAnswer: 6139.406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -12222?\nAnswer: 20001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = 18*a - 23*a + 7*y, -73*y + 76*y + 27 = 2*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -d**6\/30 - d**5\/5 + d**3\/6 + 21*d**2 + 272*d. What is the second derivative of c(a) wrt a?\nAnswer: -12*a**2 - 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39 + 51. Differentiate -7 - 5 + 7*c**3 + 20 - f wrt c.\nAnswer: 21*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -5*u + 2. Let s(n) = 76*n - 38. Calculate -48*f(g) - 3*s(g).\nAnswer: 12*g + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13864075 - -26.\nAnswer: -13864049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -83, -3, 39, -237 in decreasing order.\nAnswer: 39, -3, -83, -237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -9\/20*h**5 - 5*h + 0 + 0*h**4 + 0*h**3 + 3\/2*h**2. What is the derivative of x(p) wrt p?\nAnswer: -27*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66240 a multiple of 321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l**3 + l**2 - 1. Let a be d(-1). Let q(h) = -h**2 - 6*h - 4. Let m be q(-6). Let x = m + 6. Solve a*b = x*b + 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a centimeter in millimeters?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 902796 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-65.\nAnswer: 6.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 452 and 791?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-125)\/(-100))\/(2\/(-8)). Let y be 1\/((2\/(-2))\/1). List the prime factors of y\/(d\/93)*5.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*p + 3*c + c, -3*c = 5*p - 16. Suppose -p*t + 5*t + 6 = 0. Let j(y) be the second derivative of -7*y**3\/6 + y**2\/2 - 2*y + 16. Give j(t).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43816 + 29469. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 - -27. What is the tens digit of (-3 - z)*29 - 2*2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/15 (b) 4 (c) 22780\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 69045252?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46288883398 - -1846000669809581\/39880. Let a = s - 4\/4985. What is the common denominator of a and 57\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.3 - 9.3. Let h = -8 - -13. What is the nearest to 0.1 in h, 1, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16202 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/(-60)*(52 - 0). Suppose 0 = -3*q + z + 612, 1020 = 5*q - w*z + 12*z. Is q a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (112 - 1) + (13 - (40 - (47 + -39)))\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1852250648, -1852250647, -1852250646, -1852250645, -1852250644?\n\"Answer: y - 1852250649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 1 + 16)*(-3 + 1 + 4)*(-3*j**2 + 0*j**2 + 5*j**2) to the form t*j + r + x*j**2 and give x.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oattottttgtoatattata. Give prob of picking 1 g and 1 o.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1522035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -267 + 289. Let j = g + -26.48. What is j rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/138 and 85\/48?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 2*f**2 + 3. Let b(x) = -1. Let a(p) = -p**3 - 11*p**2 - 9*p + 13. Let j be a(-9). Let r = 69 + j. Determine r*u(g) + 2*b(g).\nAnswer: g**3 + 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/4 of a day?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -4, 341 in ascending order.\nAnswer: -4, 31, 341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(55) - sqrt(55)*1)\/sqrt(11) + 3*sqrt(50)\/(sqrt(10) - (1*sqrt(10) + sqrt(10))).\nAnswer: -3*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, i: 1, m: 6, h: 3}. What is prob of sequence mf?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 49.650355 to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in 0.5, -5, 7, -365, 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -690 - -962. What is the greatest common factor of 32 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 32\/12*(-477)\/(-1). Factor 3*h**4 + 0*h + 0*h - 1224 + v - 24*h**2.\nAnswer: 3*(h - 2)**2*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 0*p + 2\/35*p**5 + 0*p**2 - 1\/14*p**4 - 3 + 0*p**3. Determine r, given that s(r) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4)\/(8\/((-80)\/3)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -118*r**2 + 98194*r - 14976. What is c(832)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00345365 rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 114749 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 74834965 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.6 + -0.59. Let y = 0.99 + z. Let s = -2 + y. Which is the second biggest value? (a) s (b) -2\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -542 = -5*i - 2*r, 0 = 3*i - 2*r + 171 - 509. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a**4\/6 - 5*a**2\/3 + 3\/2 = 0. What is a?\nAnswer: -3, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*l + 300 - 956 = 1624 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 4424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 854 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -194 + 100. Let p be (n\/4)\/(2\/(-12)). Suppose -5*w = -274 - p. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*y - z + 2, 4*y + 2*z + 6 = 0. Let h = -5\/4 + 11\/12. Let o = -3.13 - -3.03. Which is the nearest to -1? (a) h (b) y (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b**4 - 5 + 9*b + 3 - 11*b - b**4 to v*b**3 + d*b + f + o*b**2 + x*b**4 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3*b - 34, 5*h - 2*b - 270 = -7*b. Find the first derivative of -25 + 15*x**4 - 27 + h wrt x.\nAnswer: 60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280569251 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x. Let v(q) be the first derivative of q**3\/3 - 9. Give u(v(g)).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12\/17 (b) -3 (c) -1\/5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - n. Let r(s) = -12*s**2 - 1. Let v(b) = r(b) + 2*z(b). Calculate v(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 + 117 + 121 + 64 = -16*b for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2\/8 + 1985463*r\/2 + 23825529\/8.\nAnswer: 3*(r + 3)*(r + 2647281)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -77954, -78362, -78770, -79178?\n\"Answer: -408*v - 77546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -489152\/191 - -2561. Let f = r + 2869\/764. Let x = -88\/135 + 10511\/4320. Calculate the common denominator of f and x.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194*t - 33*t + 31*t + 19*t + 32*t.\nAnswer: -145*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + 2)*-4 - 2. Suppose u*s = 6*s - 8. Let j be 5 - 0 - (0 - 0). Solve -3*y + s*y + j*h = 17, 2*h = -3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**4 - 3*r + 3*r + (-2*r**2 - 2*r**2 + 2*r**2)*(r + 2*r**2 - r) - r**2 + r**2 + r**4 + (-812*r + 110047 - 110047)*(-r**3 - r + r).\nAnswer: 810*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/24)\/(5\/4).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -8*f - 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g + 5*h + 10, g - 15*h = -11*h - 10 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -4\/5*z - 32\/5*z**2 + 4\/5*z**3 + 6 + 2\/5*z**4 = 0.\nAnswer: -5, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 452.30025+-504\nAnswer: -51.69975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 36*r**3 + 293*r**2 + 15*r - 31. Give a(-8).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1444188467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 - 4. Let x be i(-3). List the prime factors of ((-1552)\/56)\/((-2)\/x).\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43020 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z + 1. Let x(m) = 4*m - 3. Suppose n = 2*n - 1. Let b be (0 - -2)\/(n\/(-1)). Calculate b*s(k) - x(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -119 at most as big as 5\/153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 310.5 - 311. Which is the nearest to -121? (a) -2\/11 (b) h (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 1062486?\nAnswer: -1062485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1526.38, 0.15, 1?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-920)\/(-1150))\/(1\/(-5))*9\/(-195)*-5.\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 647, 1284, 1923, 2564, 3207?\nAnswer: 3852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002611 rounded to 7 dps?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)\/((2*sqrt(252) - sqrt(252)) + sqrt(7) - sqrt(7)) - -6*(sqrt(126) - sqrt(14))\/sqrt(2))**2*-1.\nAnswer: -37303\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.001 times -51.3\nAnswer: 0.0513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t. Let r(x) be the second derivative of -4*x**4\/3 + 4*x**2 + 557*x - 2. Calculate z(r(i)).\nAnswer: 48*i**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c - 6*c + 0*c)*(-c - 2*c + 4*c)*(-2*c + 2*c + c) + 2*c**3 - 4*c**3 + 0*c**3 to the form l*c**3 + p*c**2 + y*c + m and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 60662960581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -11*b - 289. What is z(-23)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 82640 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: Sort 1\/6, -2\/3, -9 in decreasing order.\nAnswer: 1\/6, -2\/3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -28 - 28\/(-16)*-4. Is -39 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of 8*m**6\/15 - m**5\/10 + 129*m**4 - 2*m + 97. Find the third derivative of u(z) wrt z.\nAnswer: 384*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 6*z - 102 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1\/5)*u)\/(u**(-2)\/u*u)*(u\/(((u*u**(-4)*u*u)\/u)\/u))**(-50) assuming u is positive.\nAnswer: u**(-981\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*2*sqrt(13) + (sqrt(208) + 2)**2 + (sqrt(117)\/sqrt(324))**2 + (sqrt(13) + 1)**2*2.\nAnswer: 10*sqrt(13) + 8653\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -91 + 3551\/39. Let g = 447.3 + -444.3. Which is the closest to g? (a) o (b) -4 (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -15. Suppose -2 = -0*s - s. Differentiate -2 + o*l**2 + 9 - 5*l**s with respect to l.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 9*l + 7. Let r(c) = 2*c**2 - 8*c - 6. Let x(n) = 2*r(n) + 3*u(n). Determine x(-11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 + 0)\/(((-12)\/21)\/(124\/(-434)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(17) - (-5 + -2 + sqrt(17))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1\/10*6)\/((51\/(-510))\/(49\/(-21)))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 324512 - 0?\nAnswer: 324512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 4*b - 2. Let a be (2 + 0 - 2) + 2. Let t(r) = r + 1. Let v be t(2). Suppose -3 = -2*s + 4*w + 1, a*s = -v*w - 17. What is l(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 6*k**3 - 10*k - 125. Let r(j) = 18*j**3 - 28*j - 376. Give 17*b(q) - 6*r(q).\nAnswer: -6*q**3 - 2*q + 131","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -l - 5. Let f be (-6)\/(-10) - (-17)\/l. Let h be f\/14 + 296\/(-56). Which is the biggest value? (a) 2\/5 (b) h (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -35. Let y = -21 - h. Determine d so that -16*d**y + 4*d**5 - 4*d**2 - 4*d**2 + 6*d**3 + 14*d**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + r = 5*r - 12, -3*d + 18 = 3*r for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -4*r + 19 + 25, 2*m = 4*r - 46. Let q = r + -7. Suppose q*u + 0 = 45. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u**2\/3 + 74*u\/3 - 152\/3 = 0. Calculate u.\nAnswer: -76, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -68*o + 7. Let i be ((-26)\/(-18) - 1)*43\/(-86)*-9. Calculate z(i).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -112 + 109. Let a = 6 + -8. What is the third smallest value in u, 2, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x**2 - 43*x + 260. Let t be d(-19). Let l(r) = r**2 + 8*r + 3. Let a(q) = q**2 + 7*q + 2. Let f(g) = 3*a(g) - 2*l(g). Calculate f(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -7\/2*w**2 + 11\/3*w**3 + 0 + 2*w. What is the units digit of p(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 307 + -297. Suppose 3*v - 12 = 0, -l*v - 282 = -2*a - 9*v. Calculate the highest common divisor of 13 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32974265221135 + -0.3.\nAnswer: -32974265221135.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -11 + (6 - 2) - -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 0 + 2*y + 0*y**3 - 1\/4*y**4 + 0*y**2. Let v(l) = 2*l. What is v(s(j))?\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 + 314*a - 41.\nAnswer: 314*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*m - 3*v = -24, -m - 3*v + 15 = 0. Let c(d) = 5*d + 2. Let g be c(m). What is the highest common divisor of 136 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/3)\/(-21) - (-2)\/(-12)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 68*p**2 - p + 9. Let q be v(-8). Suppose -5*g + q = 1609. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1703*t + 237 - 1708*t - 237.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56 - 146. Let l = -90.41 - v. Let i = -0.01 - l. Which is the smallest value? (a) -3 (b) i (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 3*b + 17 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 9 = 5*v, 19*p - 15*p = 3*v + 57. Suppose -45*g + 51*g = p. Factor 2\/9*s**3 - 2\/9*s**g + 0 - 4\/9*s.\nAnswer: 2*s*(s - 2)*(s + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1927 divided by 5?\nAnswer: 1927\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81 by 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 183603?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s + 8. Let v be l(6). Which is the second smallest value? (a) -2\/21 (b) v (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 b when two letters picked without replacement from oblmbwx.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17370 and 2702.\nAnswer: 121590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t - 5. Let a be b(5). Let s(v) = 5*v**2 + 6*v + 6. Let h be s(-2). Which is smaller: h or a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11745743.03 rounded to the nearest ten thousand?\nAnswer: 11750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1607.996 and -0.5.\nAnswer: -1608.496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65780.\nAnswer: 2, 5, 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-14) - (-2338)\/49. Suppose -n = 50*x - 54*x. Let t be 57\/15 - 7\/(-35). Solve -t*o + o = -x for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9915 divided by -5?\nAnswer: -1983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -n**5\/12 + n**4\/12 - n**3\/2 - n**2 + 32. Determine i(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 34 (b) 6\/29 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -169.2074645 to zero decimal places.\nAnswer: -169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from ghhhhgghhg.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2 + (3 + sqrt(500)*-2 + 3*-1*sqrt(500) + (sqrt(500) + -2*sqrt(500)*-4 - (sqrt(500) + 1*sqrt(500))*-3))*-5))**2.\nAnswer: 52000*sqrt(5) + 5000676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2456*x - 646*x + 962*x.\nAnswer: -2140*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -9, 1, 17, 26 in ascending order.\nAnswer: -9, -5, 1, 2, 17, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 6625 divide 4751469827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -36*n - 10. Let o(d) = 36*d + 8. Determine -5*o(a) - 4*s(a).\nAnswer: -36*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -103472*z**2 - 30 + 7794*z**3 - 2*z + 103184*z**2 + 29 wrt z?\nAnswer: 46764","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.0118*-926.\nAnswer: -3714.9268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 606020254?\nAnswer: 2, 7, 43287161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/14)\/(6\/(-8))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2198 or 2263?\nAnswer: 2198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -6*l**3 + 336*l**2 - 304*l - 1064. Give f(55).\nAnswer: 366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a - 4. Let i be p(3). Let g be (-23)\/i + 2\/(-7). Let x(l) = 5*l - 2. Let t be x(g). Solve 12 = 5*m - t for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -162\/35 in -2, 2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*b - b. Let y be (-5)\/((-5)\/b)*1. What are the prime factors of 24\/(y + -2) - 3?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1914 + 48 = -129*r - 1392 for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 0, -132?\nAnswer: -132","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -10*f - 29595. Suppose w - 15894 = -4075. Let o = w + f. Round o to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31559753 to the power of 1\/2, to the nearest integer?\nAnswer: 5618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 93420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -205 - -496. Let z be (-1)\/4 - h\/(-12) - -1. Solve -5*g - 3*u = 25, -7*u + 3*u = -5*g - z for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 240 - 210. Find the second derivative of 5 - q**3 + 5*q + 15*q**5 + 12*q**5 + 18*q**5 + m*q**5 - 57*q**5 wrt q.\nAnswer: 360*q**3 - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.011273*2.\nAnswer: -14.022546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.031 and 0.89?\nAnswer: 0.02759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3293 and 888.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/23860 and 107\/13986732?\nAnswer: 69933660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.8294 millilitres in litres?\nAnswer: 0.0968294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 901 and 32657.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 95678800 and 162653960.\nAnswer: 1626539600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 - -31. Suppose -v*s + 13*s - 693 = 0. Is s a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -39*f**3 + 6*f**2 - 3*f + 14. Let j(l) = 13*l**3 - 2*l**2 + l - 5. Let r(y) = 11*j(y) + 4*x(y). Let n be r(1). Sort 5, -1, n in decreasing order.\nAnswer: 5, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 487332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26.527 + -5.473. Which is the second smallest value? (a) -3 (b) m (c) -0.01 (d) -3\/2 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b1 (base 13) to base 7.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10985 - -32138. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 449744330 rounded to the nearest 100000?\nAnswer: 449700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 38*l + 5. Let p be f(1). Suppose -230 + p = -q. Let t = q + -127. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*o**2)*(2*o**2 - 4*o**2 + 0*o**2) + (51240 - 51240 - 33*o)*(11*o**3 + 12*o**3 - 13*o**3).\nAnswer: -326*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -151.8 + 135. Let z = -90 - -107. Let y = z + d. Which is smaller: y or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-48)\/8 - ((-63887)\/11310 + 6\/(-20))?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 16. Suppose 0 = 4*u - n*u + 52. Let j = u - 26. Solve j*z - 6 = 3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*y, -c - 2*y = -5*y - 4. Suppose q - 1 - 6 = z, -z - 5*q = 1. Which is smaller: c or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 4*q**2 - q - 1. Let t(m) = 2 - m + 0 + 0*m. Calculate the remainder when t(-5) is divided by v(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vafcf. What is prob of sequence ac?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*z + 419 - 1267 = -63*z for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 7:34 PM?\nAnswer: 614","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -720 + 1120. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4419674 or -4419675?\nAnswer: -4419674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/4 - 219*v\/4 - 215.\nAnswer: -(v + 4)*(v + 215)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0529323659 to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 80960000 to the nearest one million.\nAnswer: 81000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3 = x, -4*x - 2 = -5*q + 4. Suppose 7*z + 3*k - 14 = q*z, 3*z + 5*k = 2. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -23187, -46372, -69557, -92742, -115927?\n\"Answer: -23185*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 378021910 to the nearest 100000.\nAnswer: 378000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/6*4\/4*-12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 - -43)*(-4)\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3818b4e + 9?\nAnswer: -3818b45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 + 41. Solve 0 - n = 3*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1773, 6477, 14231, 25029, 38865, 55733, 75627, 98541?\nAnswer: 124469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m - 29. Let q(d) = 2470*d - 986. Let o(l) = q(l) - 2*x(l). Differentiate o(r) with respect to r.\nAnswer: 2472","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from xxssqssqqssqssfps.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -0*o + 4*o. Let x = 20 - o. Solve 2*g = -0*g + x for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 6*j + 21. Let v be x(-6). Sort 2, -3, v in decreasing order.\nAnswer: 2, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3611090 rounded to the nearest one hundred thousand?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 5*o**2 - 7*o - 6. Let w = 29 - 33. Let p be z(w). Is 2 bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36716329 or 36716324?\nAnswer: 36716324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12400*o - 16980*o + 37449*o.\nAnswer: 8069*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/324 and 53\/30.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2. Let p(a) = -14*a. Let v(b) = -4*b. Let q(z) = -p(z) + 4*v(z). Give q(r(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of i**5\/10 - 7*i**3\/6 - 2*i**2 - 22*i. Let a be k(4). Is (4 + (-6)\/3)\/2*a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002002 - -2210?\nAnswer: -222022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 347*l - 7427. Give b(-23).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 14 = b - 2*b, -2 = b + z. Let x be (0 - b\/5)\/((-9)\/(-15)). Put x, -0.5, 0.3, 2 in ascending order.\nAnswer: x, -0.5, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*c - 91 = 0, 3*c + 2 = 2*c. Suppose q = -4*q - 25, -g = -2*b + q. What is the remainder when b is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/(sqrt(27) + sqrt(3)) - sqrt(38))\/(sqrt(24)\/(sqrt(12) + sqrt(24)\/sqrt(2) + sqrt(12)) - sqrt(2)) + (sqrt(171)\/(sqrt(324)*3 + sqrt(9)))**2*-2.\nAnswer: -2\/19 + 9*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*l + l**2 - 8*l - 4 - 5*l as g + x*l + k*l**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -f**6\/2340 + f**5\/390 + 2*f**4\/39 - f**3\/6 + 33*f**2. Let r(x) be the first derivative of i(x). Let r(y) = 0. Calculate y.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/35*265\/(-159). Let k be (6\/(-4))\/(27\/4). Which is the closest to -0.1? (a) k (b) y (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/7)*o*o**(-18) assuming o is positive.\nAnswer: o**(-121\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 6:24 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 - -59. Let p be r\/35 - (-5099994)\/10. What is p rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4*x - 4 + 2*x + 13. Let c be k(6). Sort 0, 1, c.\nAnswer: c, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -7*z + 3*w - 29, 2*w - 10 = z. Let v(b) = -9. Let o(q) = q - 10. Let f(a) = z*v(a) + 5*o(a). What is the first derivative of f(r) wrt r?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 12:47 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8634, -9186, -9738, -10290, -10842, -11394?\n\"Answer: -552*w - 8082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (39\/(-26))\/(3\/(-80)). What is the highest common divisor of j and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of 0*m**2 + 2\/21*m**7 - 3\/5*m**5 + 0 + 2\/15*m**6 - 1\/3*m**4 + 4\/3*m**3 - 20*m. Factor g(o).\nAnswer: 4*o*(o - 1)**2*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-42)\/(-4))\/((-12)\/(-16)). Suppose -4*f - 2*c = -226, 2*f - c - 3*c - 108 = 0. Calculate the highest common factor of p and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32\/5 - -234\/35. Suppose -2 = 2*f - 6. Let t be -1 - -4 - 4\/f. What is the second biggest value in t, h, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9029488 + 108268649\/12. Let b = r + 7093. Find the common denominator of b and 77\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 24678 = 2*w + 24698, 0 = -3*c + 4*w + 10 - 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 + 25 + 8 + 97)*(3*u**3 + 0*u**3 + 4*u**3) as n*u + x*u**3 + v*u**2 + y and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2\/5, -0.5, -16, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_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: Simplify (w**(-2\/7)*w**3*w**0\/w*w**(1\/2)*w)\/((w*w*w*w\/((w\/w**(6\/5))\/w)*w\/(w**(1\/6)*w))\/(w**(3\/5)*w**(-1\/7))) assuming w is positive.\nAnswer: w**(-143\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 40 = 2*f. What is the second biggest value in -2\/17, f, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11010010101 (base 2) to base 7\nAnswer: 4625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -64124 (base 7) to base 2\nAnswer: -11110111100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/136 and -103\/33398920.\nAnswer: 567781640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 (base 9) in base 8?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 3236 + 136. Suppose -x - 445 = -20*p. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -6)*560\/(-1540).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 4*t = -8, q = -4*t + 5*t - 2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + q**2 + 2*q + 1. Let j(h) = 3*h**3 - 31*h**2 + 6*h + 5. Give j(f) - 5*w(f).\nAnswer: -2*f**3 - 36*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 2:29 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -46.2683718 to three decimal places.\nAnswer: -46.268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 216, 214, 210, 204, 196, 186?\n\"Answer: -o**2 + o + 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b + 6*b - 3 + 2)*(-5*b**2 + 4*b**2 + 3*b**2 + (-1 + 2*b + 1)*(5 - 2*b - 5)).\nAnswer: -2*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -78, -184, -290?\n\"Answer: -106*z + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 106014939 and 2.\nAnswer: 212029878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c2 - 1?\nAnswer: c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/41328 and 181\/51660.\nAnswer: 206640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4400391 + -0.04.\nAnswer: 4400390.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10461 + -4954. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9698, 38734, 87102, 154790, 241786?\n\"Answer: -2*s**3 + 9678*s**2 + 16*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47741\/43120 + -27\/784. Find the common denominator of 29\/30 and h.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239312 is divided by 47851?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 u when four letters picked without replacement from {j: 4, y: 5, u: 5, w: 1}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 279157?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2 = 4. Let k(l) be the first derivative of -l**4\/4 + l**3\/3 + l**2 + 2*l - 125. Give k(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.4464523 to 2 decimal places.\nAnswer: -8.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2548550 and 60.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2357270639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-27)\/(-3) - (-1 + 7). Let q be 1 + ((-96)\/9)\/(-4). Which is smaller: q or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.43 + -0.26. Let l = -0.1 + 0.12. Let q = g + l. What is q rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2297257\/225 + 10210. Let w = -9127\/3150 + y. Let x = 282579\/20 - 14132. Calculate the common denominator of x and w.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -w**9\/756 + w**6\/90 + 2*w**3 - 4. Let m(h) be the third derivative of i(h). What is the third derivative of m(d) wrt d?\nAnswer: -240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w**39*w)\/w))\/w)\/w**(-3) assuming w is positive.\nAnswer: w**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -513496224*t**3 + 9188*t**2 + 12364*t wrt t?\nAnswer: -3080977344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**4\/5 + 3*x**3\/5 + 16*x**2\/5 + 12*x\/5 = 0?\nAnswer: -2, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148696 is divided by 280?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 3*f + 4 + 2, -4*z + 8 = f. Let b be 3 - 36\/(-3) - (f + 4). Let v be -4 + -4*b\/(-4). Let a(s) = -s**2 + 6*s + 7. What is a(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17617 and 395?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + -16.3.\nAnswer: -16.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -429 by 3.\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(3 - 2 - 4). Let y(l) = -l**3 + l**2 + 3*l - 1. Let k be y(n). Solve -5*d + k = 3*o, 3*d - 5*o - 23 = -d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 + (-42 + 3 - -33) - 2?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 199498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 6*b**5 + 12*b**4 + 6*b**3 - 3*b**2 - 6*b. Let r(u) = 5*u**5 + 12*u**4 + 8*u**3 - 2*u**2 - 4*u. Let p(k) = 2*m(k) - 3*r(k). Factor p(f).\nAnswer: -3*f**3*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 + 79. What is the smallest common multiple of l\/(0 + 3)*1 and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**3 - 845730462011*p + 845730462011*p.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -30. Let h be (5\/q)\/(15\/(-38)). Let w = 3\/10 + h. Which is the second biggest value? (a) -0.5 (b) -0.3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 148880411 or 148880410?\nAnswer: 148880411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8)\/(144\/(-27)))\/(6*4\/4448464) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001335 to 6 dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -2*m - a - 70135, -3*m = -a - 52600. What is the lowest common multiple of 2 and (2\/9 - m\/(-189)) + -3?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6721*t**3 + 31*t - 31*t + 4940*t**3.\nAnswer: 11661*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.276973 rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 15838802?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/2)\/((-18)\/12 + 1). Solve -2 = -2*j + 3*t, j - 5*j - u*t = -4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 2 = m. Suppose r = 3 + m. Suppose -r*b + 195 = -b. Calculate the remainder when b is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - k**2 + 1. What is the remainder when (-8)\/(-52) + (-932)\/(-26) is divided by o(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) 5 (c) 4 (d) 1\/8 (e) 834\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2626 + 121?\nAnswer: -2505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t + t - 2*t**2)*(0 - 59 - 40)*(-2*t + 2*t + 2*t) to the form d + h*t + a*t**2 + s*t**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 4 + 2*a**2 - 2*a**3 - 2\/3*a. Solve y(s) = 0 for s.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 92 - 85. Let p be (-1)\/5 + (23\/(-30))\/(-23). Which is the closest to i? (a) 0.5 (b) p (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1))**(-48)\/(c**(-7)*c**(2\/5))*(c**(-1\/4)\/(c**(-1\/15)\/c))\/(c**2)**(-46) assuming c is positive.\nAnswer: c**(1769\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -129ab (base 16) to base 10\nAnswer: -76203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*i**2*q**2 + 2*i**2 - 23465165*i*q**2 - 14361*i*q - 2712*q wrt q.\nAnswer: -8*i**2 - 46930330*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2778*t**4 + 2*t**3 - 3*t**2 + 3 - 7 + 2773*t**4 to y*t**2 + k*t**3 + m + s*t**4 + w*t and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b + 6. Let y(g) = -6*g + 9. Let v(r) = 10*r - 10. Let m(s) = -2*v(s) - 3*y(s). Calculate 5*a(f) + 4*m(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -19*z + 70 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*h**4 + 16*h**4 - 9*h**4)*(0*h - 2*h - h).\nAnswer: -57*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.89378 to 1 dp.\nAnswer: 15.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5207824, -5207826, -5207828, -5207830, -5207832?\nAnswer: -5207834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 860 is divided by 192?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21458704 divided by -8116?\nAnswer: -2644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -a**3\/2 - 7*a**2\/2 + a. What is the derivative of d(x) wrt x?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56\/(-6)*792\/(-528)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 j when two letters picked without replacement from jlllujquljulqlqljjj.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(121))\/sqrt(11) + -5*2*sqrt(11).\nAnswer: -11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6367 + 6408. What is the highest common divisor of 4223 and g?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**2 - 2*u - 1. Let n be f(2). Let s(v) = v**2 - 2*v + 2. Let j be s(n). Put 2, -2, j in descending order.\nAnswer: j, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2560377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.9 from 24383.72.\nAnswer: 24382.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4*((sqrt(700) - (-2*sqrt(700))**2)*3 + (sqrt(700) - (0 + sqrt(700) + -2)**2))*-4*4.\nAnswer: -582660 + 5120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1114*h**2*r + 6*h**2 + 18*h*r + 4*h - 6*r + 5 wrt h?\nAnswer: 2228*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -548?\nAnswer: -54.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -27959.\nAnswer: 11183.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12704 and 234528?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 17, 14, 11?\n\"Answer: -3*o + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*n = 11*n + 200. Solve p + 10 - 30 = -4*t, n = 2*p + 4*t for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/19 in 3\/8, 5\/2, 0.056, -2?\nAnswer: 0.056","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 855412584.\nAnswer: 2, 3, 13, 67, 151, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 297, 655, 1043, 1473, 1957, 2507?\n\"Answer: 2*m**3 + 3*m**2 + 335*m - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 818 is divided by 377?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3244 + 506 = 0. Suppose p = -0*x + 3*x. Find the common denominator of 6\/5 and (2*x\/(-6))\/4.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2\/7, 0.8, 4, 0.3, -97 in ascending order.\nAnswer: -97, -6, 2\/7, 0.3, 0.8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (32\/(-4880))\/((-1)\/5). Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4bc + -1?\nAnswer: 4bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (-2 + -2)) + (2 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 410*n**2 + 3 + 507*n**2 - 5 - n.\nAnswer: 917*n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/396 - 14\/(-36).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 353163.5nm?\nAnswer: 0.3531635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -445.83 - -442. Let y = 6.03 + k. What is the second smallest value in y, -0.07, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, a: 3}. What is prob of picking 1 a and 1 p?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -444*t - 485 = 7507 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298 = 1051*z - 1087*z + 98 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13102978 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: -35 + -2 + 2 + (48 + -27 - 10) + -13\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -320842, -320763, -320606, -320365, -320034?\nAnswer: -319607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-30) + 16\/10. Suppose -3*n - j*n = 0. Let s = -0.34 + 6.34. Which is the second smallest value? (a) 0.3 (b) n (c) s (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*d = 616*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004635773 to five decimal places.\nAnswer: 0.00464","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -63*c**2 + 5481*c + 2. Let g be a(87). Let p = -0.2 + -0.2. Put -1\/4, p, g in decreasing order.\nAnswer: g, -1\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/2 - 140\/21*(-217)\/155.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 6*b**3 - 8*b**2 - 2*b - 8. Let g(t) = -4*t**3 + 5*t**2 + t + 5. Suppose -3 = 27*a - 26*a. Let q be a\/(3\/(-5))*1. Calculate q*o(u) + 8*g(u).\nAnswer: -2*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 20 = 2*p. Let s be 2\/p*2*8. Differentiate -3 + 5*l**4 - s*l**4 + 1 with respect to l.\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(208) + 1*sqrt(208))*1)**2 + 0 + -4 + (sqrt(208) + sqrt(208)*2)**2 + sqrt(208).\nAnswer: 4*sqrt(13) + 2698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 2*n + 156, 4*v - n - 156 = -0*v. Let b = v - 23. Let c be (96\/2)\/(6\/16). What is the highest common factor of c and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + (4 - 3))*495\/198 + 1\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213448821?\nAnswer: 3, 17, 61, 68611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/9, -0.11555, 0.5 in decreasing order.\nAnswer: 0.5, -0.11555, -2\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -145.25 - -1.25. Let c = 149 + l. What is the smallest value in -1\/4, c, -2\/29?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/770 and 54\/739277.\nAnswer: 7392770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) - (sqrt(91)*-2*-2 - sqrt(91)))\/(sqrt(7) + sqrt(84)\/sqrt(300)).\nAnswer: -5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z - 9. Let i be 2\/12 + 146\/(-12). Let r be k(i). What is the derivative of 1 - 7 - 4*g**r + 1 wrt g?\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 27 + 363*w**2 - 51.\nAnswer: 363*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -192, -382, -560, -720, -856?\n\"Answer: l**3 - 197*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/3))**(1\/18)*(x**(-1\/6))**(-1\/28) assuming x is positive.\nAnswer: x**(37\/1512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/140697 and 80\/2673?\nAnswer: 1547667","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/54*6\/(((-60)\/14)\/((-128)\/(-224))).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.16 and 0.5.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -380.6 - 34.4. Let t = k - -415.9. Which is the smallest value? (a) -6 (b) t (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 8:21 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2497 and 253.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*a**2 + 3*a**2 + a**2)*(a**2 + 22*a - 22*a) + 4*a**4 - 4*a**4 + 3*a**4 in the form g*a**3 + s*a**4 + p*a + x*a**2 + q and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 18*k + 369. Calculate o(12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3033011 - -331?\nAnswer: -3032020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74513 is divided by 4657?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8640 and 6440.\nAnswer: 1391040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 9*k + 9. Let v be i(-9). Differentiate 10*s + v*s + 3 + 0 - 22*s wrt s.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 13*f + 52. Let y(r) = -3*r - 13. Let t(s) = -2*b(s) - 9*y(s). Differentiate t(q) with respect to q.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -35002*t - 6. Let z be u(-3). What is z rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 1:17 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -1260 in ascending order.\nAnswer: -1260, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 2.84752.\nAnswer: 5.69504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 3*b**2 + 10*b. Let i be j(-5). Solve -3*z + 2 - 11 = i for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -394 - 12\/10*160\/48. Let l = -256 - i. What is the remainder when l is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**(-2\/37)*m**(1\/6)\/m*(m*(m*m**(-2\/9)*m)\/m)**(-23) assuming m is positive.\nAnswer: m**(-27085\/666)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of 0*p + 0*p**3 - 1\/18*p**4 + 0 - 2\/135*p**5 + 1\/270*p**6 - 16*p**2. What is n in r(n) = 0?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4337?\nAnswer: 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 103 - 101. Suppose -3*a - 6 = -l*z - 3, -9 = z - 5*a. Let f be z\/((-30)\/(-25)) - 3. Solve 3*y + 2 = 4*y, -c + f*y = 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -3\/4, -0.5, -6, 0.1 in descending order.\nAnswer: 3\/5, 0.1, -0.5, -3\/4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(-35) - (-24)\/14. Let t(y) = -y**3 + 10*y**2 + 78*y - 43. Let a be t(15). Factor 2\/5*j**a + o*j + 8\/5.\nAnswer: 2*(j + 1)*(j + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50505*r + 0 + 47341*r + 0 to d + m*r and give m.\nAnswer: -3164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3177)\/(-81) - 4\/18. Suppose 132 = d*x - 33*x. Calculate the highest common factor of x and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-2*sqrt(170))\/sqrt(10) - (-4*(0 + sqrt(17)) + 1)**2) + (-2 + -4*(4*-3*sqrt(2448) - sqrt(2448)))**2.\nAnswer: -2490*sqrt(17) + 6619123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -446 + -360160?\nAnswer: -360626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5998*j**2 + 98 + 166 - 5983*j**2.\nAnswer: 15*j**2 + 264","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -19 + 7 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.6 - -0.5. Let d = n + -0.1. Let w = -1 - -4. Which is the smallest value? (a) 0.5 (b) d (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, y: 7}. What is prob of sequence yy?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 6:58 PM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-10)*29\/(2552\/165). Let j = 13 + -9. Which is the second biggest value? (a) k (b) 0.1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 423 = -585. Let p be ((-135)\/j)\/((-3)\/2). Suppose 3 = -2*o + 1. Which is smaller: o or p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*b - 9, -5*r - 5*b = 105. Let s be (r\/(-54))\/(-1 - (-1 - 1)). Let l = 0.2 + -1.2. Is s != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(112)\/(sqrt(2) - (sqrt(50) - sqrt(2))))\/(4*sqrt(512)))**2.\nAnswer: -7\/2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -21. Suppose 0 = g*x + 1866 - 5491. Suppose -7*n = -2*n - x. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 48 = -4*n, -4*n - 10060 = 6*m - 4*m - 10012 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 36936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -1.1. Let g = p - 8. Sort g, 5, -1 in decreasing order.\nAnswer: 5, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4986239683?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 1542244*y**2 - 1542257*y**2 - 39*y - 21 - y**3 + 0*y**3. Give j(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04376704 rounded to five decimal places?\nAnswer: -0.04377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*w - 94, 4*o - 18 = -2*w + 38. Is w a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (24 - 1 - 12)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 9 = 4*i. Let m(p) = -8*p**i + 7*p**3 + 2*p**3. Let r(h) = h**3 - h. What is m(d) - 2*r(d)?\nAnswer: -d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**3 - 95*w**2 + 367*w - 273 = 0.\nAnswer: 1, 3, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4\/5)\/(s*s\/s**3*s))\/(s**8\/s**(-8)) assuming s is positive.\nAnswer: s**(-84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -159, -4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/11, -3, 25831, 2\/11, -5, 4 in decreasing order.\nAnswer: 25831, 4, 6\/11, 2\/11, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -3 (b) 0.3 (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 8, -2*a + 13 = -a - 5*w. Suppose -h + 163 + 330 = 3*m, 5*h + 5*m - 2445 = 0. Suppose -79 = a*j - h. What are the prime factors of j?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*o - 108*o + 14 = 0. Solve -o*f + 1 = -1, -2 = -4*n - 2*f for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**2 + 3*l**2 - 6*l**2 + (3*l - 5*l + 3*l)*(3*l + 5*l - 4*l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 59, -12672388 in descending order.\nAnswer: 59, -3, -12672388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 811, 804, 785, 748, 687?\nAnswer: 596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 39355 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 4:57 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -758, -1564, -2370?\n\"Answer: -806*y + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6279.818 + 6280. Is h smaller than -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 3*p + 13, 616*p = -5*a + 621*p + 25 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - 8 - 1 - 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -106 + 105. Is -0.04 less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 77?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -16*z + 14. What is p(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 37 in 0.4, 3, 4, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1618446, 1618769, 1619092, 1619415, 1619738, 1620061?\nAnswer: 1620384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -37*v**3 + 5*v**2. Let h(x) = 630*x**3 - 84*x**2. Suppose 2*t - 41 + 377 = 4*m, -2*t - 252 = -3*m. Calculate m*j(l) + 5*h(l).\nAnswer: 42*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (46 - 51)*(-4)\/10. Suppose -1179500 = -w*b + 7*b. What is b rounded to the nearest 10000?\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 18 = 5*h + 6, 0 = -4*h. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -12, -d - 13 = -3*z + 4. Let x = 12 - 6. Let l be 1\/(-3) + (-4)\/x. Which is the second smallest value? (a) l (b) d (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 4:00 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cocdcuuunnn. Give prob of picking 2 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 92357641 a multiple of 306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + m**2 + m + 1. Suppose 4 = -4*l + 36. What is the lowest common multiple of v(-2) and l?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -c + 4*r + 2, -4*c + r + 11 = 0. Solve 2*m = -c*g - 2, 0*g + 5*m + 29 = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.49599987342 - -7.496. Round n to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15*(-11)\/((-220)\/928)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5846 and 8?\nAnswer: 46768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 110 (b) -5 (c) 31 (d) 2\/7 (e) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-182) + 2\/13)\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -118 - 1775*p + 118 + (2*p - 2*p - p)*(-5 + 2 + 5) as d*p + f and give d.\nAnswer: -1777","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 + 1 - -1) + 6. Which is the nearest to 0? (a) 4\/5 (b) x (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 86 - -10. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/((q*q*(q\/(q\/q**21)*q)\/q)\/q))\/q)\/q*q)\/q**(-3) assuming q is positive.\nAnswer: q**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 1e51c1?\nAnswer: -1e51be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-7)\/k*k*k**(1\/2))\/((k*k**(-10))\/(k\/k**(2\/21))))**(-32))**31 assuming k is positive.\nAnswer: k**(-70928\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121823843.\nAnswer: 131, 929953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 40\/60 - (-8)\/6. Suppose r*n + c = 34, -4*n - n - 2*c + 83 = 0. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/50042 and -15\/16.\nAnswer: 400336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -1 - 7*o**3 + 6*o**3 - 4*o + 0*o - 6*o**2. Let d(y) = -y**2 - y. Let s(x) = 6*d(x) - k(x). Let t be s(-2). Sort -2, t, -5 in ascending order.\nAnswer: -5, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*l - 62*l + 1327924 = -153770. What are the prime factors of l?\nAnswer: 3, 5743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 4 = -2*g. Let y = -1 - g. Let c be y*(-2 - (-30)\/9). Sort 3, 5, c.\nAnswer: c, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25069 and -102?\nAnswer: -2557038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.1, -1\/7, 2\/3, 12?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -52\/1971 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176) + 1 + sqrt(11) - (sqrt(55)\/sqrt(5) + -4).\nAnswer: 5 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -38372, -37783, -36796, -35411, -33628?\n\"Answer: 199*t**2 - 8*t - 38563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 434328828?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59 + -23. Let l be 7 + q\/15 + 6\/10. Solve -2*i + 4 + 6 = -5*w, 4*w - l = -2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 10:17 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*1*416\/(-448)*-7.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + (-7)\/((-21)\/24). Solve 5*k + b + 0 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -20*m + 21*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2\/7 + 153*v\/7 - 690\/7.\nAnswer: -3*(v - 46)*(v - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00044181 rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0*g + 6 = -g, m + 2*g = 13. Let q(b) = m + 3*b + 4*b - 8*b. Suppose -3*n + 1 = -2*n, 0 = -5*r - 4*n + 29. Calculate q(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2 - 33566*j - 201431. What is s(-6)?\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - d + 10, 673*t = 668*t - 3*d + 25. Let k(x) = -x**2 + 24*x - 81. Give k(t).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1194540 greater than 5972698\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -25*n**2 - 38*n + 2. Let o be i(-4). Let h = o - -249. Solve 0 = h*v - 1 + 13 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3206.36 centuries to months.\nAnswer: 3847632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 4*d + 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*o = -43, -25*x + 82 = -23*x + 5*o. What is the remainder when 4649 is divided by x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7238280 - 3420720. Round p to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2532453 to the nearest integer?\nAnswer: 1591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand x - x + x + (7*x + 5*x - 80*x)*(-1 + 2 + 0).\nAnswer: -67*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**2. Let c = -885 + 888. Let s(x) be the second derivative of 0*x**2 - 1\/3*x**c + 11*x + 0. Calculate w(s(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*r - 9*r - r + 2*r**3 + 19 + 2*r**2 to the form g*r**2 + w + b*r + q*r**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - ((-6 - -5) + (-4 - -9)) - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 612924939?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7784464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11268620 and 91173380.\nAnswer: 1002907180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f + 8. Let y be r(6). Suppose -3*u + 1907 = 5*n, y*n + 2*u = 219 + 547. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 - 27a1?\nAnswer: -27aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 0 + 2 - 2. Let o = -0.01 + -2.99. Let t be (-15)\/(-12) - 1449\/324 - -3. What is the nearest to w in o, t, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*y**2 + 26*y - 26*y)*(1 + 0 - 2).\nAnswer: 25*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -4\/3*j + 1 + j**2 - 2\/9*j**3. Factor a(i).\nAnswer: -2*(i - 2)*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5980077 >= 5980074?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1378528 and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17057\/2482 - 302\/73. Find the common denominator of (4\/(-120))\/((-26)\/9126) and q.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of 5*m**3\/2 + 8*m**2 + 783*m. Let x(w) = -3*w - 3. Determine -4*v(k) - 22*x(k).\nAnswer: 6*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - ((-1104)\/(-240) + 2\/5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -20.022. Let o = h + 0.02076. Round o to 4 decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -210 smaller than -210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 14*f**2 + 10*f + 1. Let j be l(13). Suppose 2*z - j = -30. What is the remainder when z is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1226 minus 54916.61028?\nAnswer: -53690.61028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8494.806 hours to seconds.\nAnswer: 30581301.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - -1 - (-8)\/16*8. Factor 18*o - 2*o**b - 8*o + 54 + 4*o + 6.\nAnswer: -2*(o - 10)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 8, 9, 42.\nAnswer: 8, 9, 16, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 - 9*d - 149. Let n be s(-7). Suppose -5*l = j - 212, -5*j = l + l - 968. Calculate the highest common factor of n and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -k**4\/2 - 10*k**3\/3 + 5*k**2 - 6. Let i(h) = h**2 - h. Let w be (-4)\/(-6)*(-60)\/4. Determine w*i(q) - m(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -p**2\/2 - p + 1483. Suppose 2*r + 5 = 5*n, 0 = -4*r + 3*n + 14 - 3. Give j(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(300)*-2)\/sqrt(6))\/(sqrt(198)\/sqrt(11) + sqrt(2)))\/((-1*sqrt(4000))\/(sqrt(96)\/(sqrt(12) + sqrt(12) + (sqrt(48) - sqrt(12))))).\nAnswer: sqrt(5)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 16 + 2 = -c, 5*c = -k - 2. What is the smallest common multiple of k and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ysrn when four letters picked without replacement from vnnyyssryyyynv.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5550 by 1351.\nAnswer: -5550\/1351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 252, 7, -3, 3 in decreasing order.\nAnswer: 252, 31, 7, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10 - 6)\/(39\/(-3237)). Let q = 608058\/7 + -87198. Let m = z - q. What is the nearest to 1 in m, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 511293818 minus 9.569?\nAnswer: 511293808.431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 145491.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13632499 is divided by 1369.\nAnswer: 1366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -70*d - 838 - 142 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2206680*a**3*y**2 - 2*a**3 - 19*a*y**2 - 3*a*y - 99*a - y**2 + 2*y wrt a.\nAnswer: 13240080*a*y**2 - 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8340 divided by 2?\nAnswer: 4170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230211 (base 4) to base 11.\nAnswer: 2164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k - 9. Let w be g(-8). Let c be (3 + (-16)\/6)*27. Let r be w\/(c\/3) + (-237)\/(-9). Calculate the greatest common divisor of 65 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 865327 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1795041 rounded to the nearest ten thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4259\/42 + -557\/7. Let r(h) = h**2 + 6*h + 5. Let o be r(-4). What is the common denominator of w and (o\/(-15))\/(12\/(-1490))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nan when three letters picked without replacement from {n: 2, k: 1, z: 2, a: 4}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 6*j**2 + 7*j + 3. Let q be g(7). Let p = 347 - 197. Suppose -p = -5*z - 5*s, 5*s = 5*z + 4*s - 120. Solve -q*l - 2*l = z for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 3*o + 2. Let m be c(0). Let 14\/5*i**m - 6\/5*i**3 - 2*i + 2\/5 = 0. What is i?\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -x**2 - x + 3 + 0*x**3 - 1\/20*x**5 + 0*x**4. Let b(d) be the first derivative of c(d). What is the derivative of b(w) wrt w?\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*w = 27*w + 53312. Let q = w + 960. Solve 2*y = -d - 4*d + 6, -4*y = q for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 y when two letters picked without replacement from tttnwwttzttktynkknw?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 2 = 6*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.0266 rounded to 1 dp?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/4 and -115\/868.\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.07 + -0.47. Let r = 2 - 7. Which is the second biggest value? (a) r (b) s (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -3*g + 1\/48*g**4 - 1\/6*g**3 + 10 + 1\/2*g**2. Factor m(n).\nAnswer: (n - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 106 and 3710.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1877350*q**4 - 54451137*q**2.\nAnswer: -45056400*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -112264 - 14.\nAnswer: -112278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 8 = -3*c, 0 = -5*n - 3*c + 24 + 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (3 + (5 - 1))\/(24\/(-48))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.900761ml to litres.\nAnswer: 0.000900761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d**3 + 5*d**2 - 2*d + 10. Let u be x(3). Calculate the greatest common divisor of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 3)*(-2*i - i + 2*i) + 0*i + 0*i + i - 33698 + 33616 - 8*i - i in the form p + b*i and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -752*n - 4. Let j be (-8)\/10*(-15)\/(-6). Let r be t(j). What is r rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51807 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0037366 to four decimal places.\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.43 + -3.85. Let p = -4.89 - v. Which is the third biggest value? (a) 0.3 (b) 0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-7 - -2) + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ukk when three letters picked without replacement from {k: 7, u: 9}.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = f - 313, -20*f + 22*f - 68 = l. Is -63 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 319*m**2\/5 + 1371*m - 14986\/5 = 0. Calculate m.\nAnswer: -7493\/319, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 5*c**2 + 32. Let s be m(-6). Let u(b) = 2. Let v(d) = d - 5. Let y = -33 + 22. What is s*v(i) + y*u(i)?\nAnswer: -4*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2143 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22434, -44906, -67388, -89880, -112382, -134894?\nAnswer: -157416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 5*b + 8. Give x(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = m - 19. Suppose 0 = 6*c + m + 35. Find the common denominator of 2 - (0 - 395\/c) and 47\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 6:18 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b262b (base 12) in base 8?\nAnswer: 1654003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -217620310.84 - 2.\nAnswer: -217620312.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -757 + 1226. Suppose f = 10*d - 71. What is the remainder when d is divided by 52?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1765120562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, -0.887, -2?\nAnswer: -0.887","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 7, -3, -5, 0 in decreasing order.\nAnswer: 7, 5, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1367b (base 13) to base 9\nAnswer: 54667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10775040 and 5460.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 + -0.5. Let n = 0.4 + b. Let x = n + 0.175. What is x rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 + 23487*i**2 - 258454*i + 563952.\nAnswer: (i - 8)*(i - 3)*(i + 23498)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - i - 5*g + 1 = 0, -7 = -3*i - 2*g. Suppose 0*f - 6 = -i*f. Solve -2 = -f*x - 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7985 = -10*q - 28665. Let t = q + 40287\/11. Calculate the common denominator of t and -22\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/3)\/((-12)\/(-18)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -5. Let a(f) = -28*f**k + 5 + f + f**2 - 4 - 2*f**2 + 9*f**3. Is a(-1) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 3*c - 529, 4*j - 781 = j - 2*c. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 9)*(-2*j + 0*j + j).\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18641 divided by -1.\nAnswer: 18641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**2\/4 - 939*p\/4 - 941\/2 = 0. What is p?\nAnswer: -2, 941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*h**3*m*y - 14*h**3*m + 69*h**3 + 2687*h*y + 74*m wrt y?\nAnswer: -7*h**3*m + 2687*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + q + 1. Suppose g + 1 = 2*g. Let w be (g*2)\/(15 - 17). Let z(p) = p**3 + p**2 + p + 1. Calculate w*z(u) + y(u).\nAnswer: -2*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 3, 1.6, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3 = -9. Let x(h) = 8*h - 10. Let w(r) = -10*r + 12. Let u(n) = v*x(n) - 5*w(n). Suppose 6*p - 4*p = -5*c + 29, -p + 2*c + 1 = 0. Determine u(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 2 in ascending order.\nAnswer: 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 - -1140400?\nAnswer: 1140411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -245*c + 123*c + 2198074. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 u when three letters picked without replacement from {c: 12, u: 3}?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 3*b + 2. Let j be n(-3). Suppose 0 = -j*w - 0*w - 5*a + 82, 0 = 3*w - 3*a - 81. List the prime factors of w.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 816 and 1135158.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5793.66 rounded to the nearest ten?\nAnswer: -5790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaaaaaaaazaazaza. What is prob of sequence azza?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 7:05 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 6. Suppose -o*r - n = -0*n + 2, 5*n = -10. Which is smaller: -9 or r?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, v: 4, k: 3, a: 1}. What is prob of sequence vk?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 a factor of (((-54)\/(-24))\/3 - (-36)\/(-48)) + 15660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + 80 - 62. Suppose 5*v + k*a - 19489997 = 0, 3*v - 9*a = -5*a + 11694004. Round v to the nearest one hundred thousand.\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2191 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -278? (a) -1\/3 (b) -5 (c) 2\/9 (d) 6 (e) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hg when two letters picked without replacement from {g: 18, h: 2}?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 59 (c) 0.457\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b - 6. Suppose -g = -6 + 12. Let o be w(g). Let d be 45\/(-2)*4\/(-20). Is o at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 3 - 3 - 2 + 6 + (-2 + 2 + 1)*(1 + 0 + 0) + (7 + 0 + 0)*(91 + 52 - 8))*(0*p**2 + p**2 + 5*p**2).\nAnswer: 5664*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -5 (c) -192911\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j = -8*j - 177. Suppose -r + 4*v + j + 77 = 0, 340 = 3*r + 5*v. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5525207455?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/2566 and 83\/212.\nAnswer: 271996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 2*b + 6. Let y be j(-3). Suppose -13*p + 30 = -y*p. Factor 3*f**2 + 1 + 1 + p - 8.\nAnswer: 3*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 11*h**2 + 16*h. Calculate the remainder when v(-8) is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 3)*(-9271*s - 36 + 36 + 2697*s + 3 - 3).\nAnswer: 13148*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*(-2)\/(-8)*-2. Let b = 6 - r. Suppose -64*u = -59*u - 40. Is b at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 40*p**2 + p - 14. List the prime factors of d(3).\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) + -1*sqrt(44)\/sqrt(2))\/(sqrt(11) - sqrt(11)*1*4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5094 or 5098?\nAnswer: 5098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 7?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -26*l + 1. Suppose -f = -3*i - 6, 8 = -0*i - 4*i - 2*f. Let s be g(i). Suppose s = 2*t - t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 777?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84329*m - 10 = -2*x - 84326*m - 0, -3*m = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 13 (c) 0.4 (d) 0.3 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/251 = -0.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 46242 = 4*l. Is l\/27*6\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -u**5\/60 - u**2. Suppose -21*r + 19*r - 28 = 0. Let d = r - -12. Give f(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 231.51 + -203. What is z rounded to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 + (1 - 2))*(-39)\/6. Let h be (-1)\/((-3)\/2*f\/117). Solve 1 = l + h for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 5, 4\/7, 10, 9.38, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 578772 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4219, 8446, 12673, 16900?\n\"Answer: 4227*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of 2*a**7\/21 - 4*a**6\/5 + 13*a**5\/5 - 4*a**4 + 8*a**3\/3 + 3*a. Find u such that m(u) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 7*o**2 + 8*o + 13. Give f(7).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*2\/192*(-8)\/(-2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -8*a + 15. Suppose -6*j + 30 + 18 = 0. List the prime factors of (15\/5)\/(a\/j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/8 + 6\/8. Suppose -3*i - 2 = -8. What is the second derivative of -q + i - 2 + o*q**5 wrt q?\nAnswer: 40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90816 and 2010?\nAnswer: 30423360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h - 12. Let c be i(-8). Suppose 566 + 62 = c*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 o, 1 z, and 1 q when four letters picked without replacement from oqmzsyz?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 2:23 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 954107, 954122, 954137, 954152, 954167, 954182?\nAnswer: 954197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = f - 6*c - 125, 3*c + 432 = 4*f. What is the remainder when 9449 is divided by f?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-8)*-3 + 525\/(-6). Let m = u + 87. Let s(c) = c**2 + 4. Let k be s(0). Sort k, m, 0 in ascending order.\nAnswer: 0, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 6:53 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -16494.118+11\nAnswer: -16483.118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of o**4\/2 - o**2. Let d(n) = 0*n**2 + 63092*n - 6*n**2 - 63092*n. What is t(d(h))?\nAnswer: -72*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/1750 and -29\/2520.\nAnswer: 63000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 80\/2*(-40)\/(-20) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-3*sqrt(475) + 4 - ((-2*(sqrt(475) + -2) - sqrt(475)) + sqrt(475)))**2 + 2 + 3)*5.\nAnswer: 2395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85746 is divided by 721.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**3 + 0*a**2 + 1 - 4*a**2 - 3*a + 5*a. Let n be k(2). Solve -n*f + m - 9 = -28, -5*f + 27 = -3*m for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -14*k**2 + 204*k + 2154. Determine n(-9).\nAnswer: -816","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -137\/3 - -46. Let r(a) = a + 8. Let x be r(-6). Suppose 0*f + 0 - g*f**x = 0. What is f?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1 + sqrt(2736) + -5)*-2 + (-4 + sqrt(2736) + 2 + -3)**2 + 4.\nAnswer: -144*sqrt(19) + 2777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -1082, 4, -21\/325?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 13. Let u be c(11). Suppose 199 = j + 2*x, 3*j = -3*x + u*x + 577. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40517110 divided by 71585\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - f + 1 - 2)*(-23 + 6 - 97).\nAnswer: 228*f + 114","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*h**3*m**2 - 3*h**3*m*p - h**3*m - 3*h**3 - 48*h**2*m**2*p wrt p.\nAnswer: -3*h**3*m - 48*h**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31.05 - -27.05. Let q = 1.1 - 1. Which is the closest to 1? (a) w (b) -0.3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 125 = 2*q. Let h = -34 + q. Differentiate 89 - 29 - 23 - 4*b - h with respect to b.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -78*n**2 - 1236*n + 14830. Calculate l(8).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2717, -2732, -2727, -2702?\n\"Answer: 10*z**2 - 45*z - 2682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1\/36, -1, -30, 3\/2 in ascending order.\nAnswer: -30, -2, -1, -1\/36, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3600670, -7201298, -10801896, -14402470, -18003026, -21603570, -25204108, -28804646?\nAnswer: -32405190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 33892504898*t + 33892504897*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 90803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + m - 1. Let k be r(1). Let y be (3\/6)\/(k\/4). Suppose 3*f + y*f = 195. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -89270 * 0.07\nAnswer: -6248.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*l)*(-125*l + 252*l + 323*l) + (-1 - l - 5*l + 4*l)*(0*l - 5*l + l).\nAnswer: -892*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 + -1. Suppose m - x = -6*m. Suppose s + z + 213 = 6*s, -8 = -m*z. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -76.7 - -88.1. Let g = -16.4 + t. Sort -4, -55, 0.4, g in increasing order.\nAnswer: -55, g, -4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43683929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -853683, -853627, -853571, -853515, -853459?\nAnswer: -853403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20256?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 182\/13 + (-2)\/1. Suppose 28 = d + 4*d - 3*n, -5*n + h = -d. Suppose d = -3*f + 4*f. Calculate the remainder when 13 is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39080 and 209078.\nAnswer: 4181560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -322440 + 454441. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*i + 0*i + 21 = 0, -2*q - i + 4 = 0. Suppose 0 = 2*t - 111 + 265. Find the common denominator of -75\/14 and (t\/12)\/(q\/9).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 772.961155 rounded to zero decimal places?\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 275 = -7*x. What is the greatest common factor of x and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11461456 = 155*l - 42*l - 65231715. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 182 - 38 = 0. Suppose -2*u = q - 16. Suppose y + 1 = -t, -5*t + 3 + 2 = -5*y. Solve -z + u*z + 2 = t for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 697 is divided by 39.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-0.004509\nAnswer: -0.0018036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v**3 - 130*v**4 - 3*v**3 + 17*v - 15*v + 207*v**4 - 1 to the form h*v + l + o*v**2 + m*v**3 + s*v**4 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 172340759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, a: 3, z: 5}. What is prob of sequence la?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 6*r + 2*r = 0. Suppose -2*n = -s + 16, 2*n + 40 = 3*s - r*n. Solve -2*p + s = 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of 9*a**6\/40 - 35*a**3\/6 + 5*a**2. Differentiate f(c) with respect to c.\nAnswer: 81*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a + 5. Let b(p) = 1 + 2*p + 0 + 4. Let w(u) = -2*b(u) + 3*f(u). What is the first derivative of w(g) wrt g?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 36*y**2 - 3*y. Let o(l) = 37*l**2 - 2*l. Let r(p) = -3*m(p) + 4*o(p). Suppose 2*k + 2*q + 0*q = -8, 4*k - 4*q - 8 = 0. Is r(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/g**(-2\/5))**(3\/2)*(g\/((g*g**(-2\/3))\/g)*g)**(-47)*(g**(-1)\/g**4)\/(g**(-2)\/g)**(5\/13) assuming g is positive.\nAnswer: g**(-24488\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 551 + (0\/1 - (3 - -2)). Let t = z + -11464\/21. Factor -t*w + 2\/21*w**2 + 0.\nAnswer: 2*w*(w - 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f - 5*f**2 + 0*f + 4*f**2 - 2*f**2 - 3 as r + a*f + g*f**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + g - 1. Suppose z - 12 = -3*z + 2*t, 2*t - 28 = -4*z. Suppose -b - z*u - 10 = -2*b, -2*u - 4 = -2*b. Calculate a(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of 5*t**5\/12 - 3805*t**4\/8 - 2285*t**3\/3 + 21*t**2 + 39. Determine m so that x(m) = 0.\nAnswer: -2\/5, 457","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1528*u = 2274*u + 2418*u - 69608 for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*b + 4*b - 5*b)*(-4 + 2 + 4 + (-2 - 2 + 2)*(0 + 0 + 1) + 4 - 2 - 4)*(-1299 - 5755 + 1292) to k + a*b and give a.\nAnswer: -57620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/5 of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 1)*(0 - a + 7 - 1)*(-2 - 15 + 3) to the form q*a + t and give t.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 0, 5, 6\/71?\nAnswer: 6\/71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40 + 2*y - 40 + 16*y**3 to the form i*y + r + f*y**3 + q*y**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193*t - 14 + 37 - 23.\nAnswer: 193*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -451 + 231 - 21*y + 217. Let q(g) = 4*g. What is s(q(f))?\nAnswer: -84*f - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3443*c - 37842. Calculate r(11).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24 or -58330\/2311?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1607?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23015 + -2?\nAnswer: -23020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 5*i - 6. Let c be m(6). Suppose 0*z + 3*z - 21 = c. Let a(n) = n + 3. Is a(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9\/(-4))\/((90\/(-8))\/15). Let x be -2*c\/(-21) + (-4 - -4). Sort -0.3, -1\/12, x, 2.97 in ascending order.\nAnswer: -0.3, -1\/12, x, 2.97","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j - 8*j - 4 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8 - (6 - 12))\/((-2)\/203). Let c(a) = 101*a + 99*a + 8 - y*a. Calculate c(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 + -26 + 6 + -39\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/10)\/(2\/10). Let d be 4\/((-16)\/(-3))*w. Let u be (-66)\/(-4) + 2\/(-4). Solve k = -d*k - u for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1346805*t**3 + 247848450*t**2 - 6684965*t + 45080.\nAnswer: -5*(t - 184)*(519*t - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.03 (b) 0.5 (c) -0.4 (d) -18 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -683*y**2 - 4784*y - 13. What is r(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.3 - -3.3. Suppose -12 = 2*q + q. Which is the third smallest value? (a) u (b) q (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -13*x + 12. Calculate d(4).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 0.1. Suppose -12 = 4*h, 3*j - 120 = -2*j - 5*h. Let v be (3\/j)\/((-2)\/(-12)). Is v <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -7*f - 88201. Let a(j) = -4*j**2. What is u(a(c))?\nAnswer: 28*c**2 - 88201","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 299 + -154. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*t - 37 = 36*t - 4*i, t = 2*i - 1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86249744 divided by 301.\nAnswer: 286544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v + 1 - 1 + 442*v**2 - 432*v**2 as t*v**2 + r + p*v and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 736.78 rounded to the nearest integer?\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 1267 and -16 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -84185154 times -4\nAnswer: 336740616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4223421?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/((-9)\/69))\/((24\/(-17 + -7))\/1).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 16*a**7\/21 + 20*a**3\/3 + 82*a - 63. Let s(i) be the first derivative of q(i). What is the second derivative of s(o) wrt o?\nAnswer: 640*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15669.08139 + 15669. Let u = 0.0788 + o. Round u to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**3 - 24*h**2 - 79*h + 689. Determine l(13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/7, -0.04, -0.2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u**3 - 3*u**2 - 5059*u - 10103. What is s(-2)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i - 33. Let s be q(10). Suppose s*o - 2589 = 14*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p - 5. Let o be l(-2). Let h(v) = o - 17*v - 1 + 16*v + 0. Let u be h(-3). Solve 5*x + u = 0, -s - 2*x = -4*x - 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -4\/3 (b) 31 (c) 2 (d) -1\/4 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4645?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.25 and 116.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 9*n. Suppose 2*a - 10 = 0, -5*j + n*j + 2*a = -45. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125, 127, 131, 137, 145?\nAnswer: 155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16124\/2030 + -12 - -4?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*g - 100*g**3 - 6 + 99*g**3 - 4*g to the form n*g**3 + r*g + w*g**2 + h and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - -14178.\nAnswer: 14177.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1000, -2088, -3114, -4048, -4860, -5520, -5998, -6264?\nAnswer: -6288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6308826 rounded to the nearest one thousand?\nAnswer: 6309000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-405)\/(-2430))\/((-3)\/42)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28577895?\nAnswer: 3, 5, 419, 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -5*o - 2*t + 15, 0 = 3*t. Let j = 2803 + -2792. Solve 4*z + 4*u + j = 3, -9 = o*u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(12)\/(sqrt(24)\/(sqrt(6)*-2)).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssl when three letters picked without replacement from sssllsllrssslslc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4 + 5 - 3 - 2 + 2*k. Let m(s) = -s + 3. Calculate -3*m(g) - 2*y(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -227*d**3 - 757*d - 1?\nAnswer: -1362*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uw when two letters picked without replacement from ujujjqujjwjujjq.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b + 13. Let g = -18 + 23. Suppose 4*l - g = 19. Let j be k(l). Which is greater: j or 1\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, o: 2, q: 1, t: 2}. What is prob of sequence toq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2040041343 (base 5) in base 8?\nAnswer: -20065041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 times 1612.5?\nAnswer: 477300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*a + 93*a = 320. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1125 and 825.\nAnswer: 12375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31216917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(17)*-3 - sqrt(17)))**2 + (sqrt(85)*3)\/sqrt(5) + sqrt(102)\/(sqrt(24)\/sqrt(4)) + (sqrt(85) + (-2*sqrt(85) - sqrt(85)))\/sqrt(5).\nAnswer: 2*sqrt(17) + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 288184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 - -41. Suppose -4*o - 2*l = 334, -4*o = -0*o + 5*l + 337. Let s be (-14)\/63 + o\/(-9). Calculate the greatest common divisor of s and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of 3*h**8\/112 - 19*h**5\/60 + 25*h**2. Find the third derivative of g(s) wrt s.\nAnswer: 540*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -5*u + 18. Let x(j) = j**3 + 5*j**2 - 8*j - 7. Let o be x(-6). Solve -f + o*h - 15 = 1, -4*f + 2 = u*h for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 7 - 2 - 4)*(-57*t**2 + 66*t**2 + 77*t**2).\nAnswer: 172*t**3 + 86*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -171512, -171508, -171504, -171500, -171496?\n\"Answer: 4*b - 171516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 8:15 PM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 w when two letters picked without replacement from hcwwwhhuwhh?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 136 = -3*p - 132, -4*y = 2*p + 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5645220, 11290437, 16935654, 22580871, 28226088?\nAnswer: 33871305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/40 and -73\/12.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*x + 0)*(2*x**3 + 6*x**3 - x**3).\nAnswer: -21*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 5:22 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1721844, 3443737, 5165630, 6887523?\nAnswer: 8609416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26640835\/143 - ((-189)\/77 + 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -88217 >= -88216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, e: 5, n: 3, r: 2, t: 5}. Give prob of sequence er.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5 = 1. Is 21 a factor of 65 + n\/2 - -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -15*u, -409*j + 6 = -412*j - 4*u for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b - 7. Let q be o(-4). Let p = q - -21. Let d be (p\/(-24))\/(1\/(-4)). Which is smaller: -1\/8 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2. Let x(p) be the second derivative of -11*p**3\/6 + 7*p. Determine a(x(k)).\nAnswer: 121*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 8. Suppose -o - m - 1 = 0, -2*o - o + 7 = m. Suppose i**2 + i**3 + f*i**3 + 2*i**4 + 2*i**2 + i**o = 0. Calculate i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2446349197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 216120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 + 38*v + 151. Give h(-4).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -15078.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54208)\/(-2541))\/((-4)\/(-2)).\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -538 + 634 = -16*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 184525*i*k**2*x**2 - 326*k**2*x + 4*x**2 wrt i?\nAnswer: 184525*k**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241*o + 2215 + 436 = 0 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 650, 2, 3, 5 in ascending order.\nAnswer: 2, 3, 5, 650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 31441115 (base 7) to base 2\nAnswer: 1010001010110000101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwkh. Give prob of sequence wwk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j + 15. Let d be n(11). Let u be -2 - (d + (5 - 13)). Solve l - 5 = u*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -734, -3 in increasing order.\nAnswer: -734, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 666 and 370?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1118*s**2 - 7735*s**2 + 383*s**2 - 2448*s**2.\nAnswer: -10918*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*k - 192 = 0. Suppose c - 335 = k. What are the prime factors of c?\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 1 = -2*k - 8, -8 = 2*k + 2*v. Let l = k + 10. Solve -l*t - 25 = 0, -4*a + 7*t - 2*t = -17 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78201062887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (0 + (-2)\/(-1))*(233 + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyh when three letters picked without replacement from {y: 11, h: 5}.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 25*y**2. Let g be d(1). Let s = 27 - g. Suppose 0 = 3*q - 2*k + 2 - 21, -2*q + k = -11. Calculate the remainder when q is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 370078987 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 700 and 9793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 537*g**3*m**2*s**2 + 24*g**3*s**2 - 28*g**2*m*s**2 + 2*g*m*s**2 - 15*m**2 wrt g?\nAnswer: 3222*m**2*s**2 + 144*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -43012, -43011, -43010, -43009?\n\"Answer: s - 43013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48820 (base 9) to base 13.\nAnswer: -11b98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 946 - 3*c + 3*c - c**3 + 3*c**2 - 936 to the form v + p*c + q*c**2 + m*c**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -6506 and -153 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**5 - 278*o**4 + 1872*o**3 - 3160*o**2 - 1088*o + 4224 = 0. Calculate o.\nAnswer: -1, 2, 4, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1724173 or -1724190?\nAnswer: -1724173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-2))\/(1*14\/4). Let n = -7 + 7.3. Let u = 0.2 + n. What is the nearest to t in u, -2\/7, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 25*a + 66. What is m(-7)?\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31080359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*u - 3*r + 503, 12073*u + 3*r = 12071*u + 103 for u.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -326 + 318. Let v(y) = -y**2 - 7*y. Calculate v(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*d**3 + 0*d - 2226 + 0*d + 2226.\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h**5 + 6339731*h**3 - 16548*h**2 - 427*h - 2 wrt h.\nAnswer: -120*h**2 + 38038386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25819?\nAnswer: 25819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4410, 8734, 12966, 17106, 21154, 25110, 28974?\n\"Answer: -46*l**2 + 4462*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/6 or 109\/8?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 - 374100*h**2 + 3366585*h - 6732990.\nAnswer: 5*(h - 74811)*(h - 6)*(h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 75 divided by -15\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172 divided by 268.\nAnswer: 43\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from jnjvnnnnnnvjvvjvyn?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 6:25 AM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 6*k = -1. Let c(r) = r**3 - 1. Let m be c(k). Suppose a + y = 8, m*y = 5*y. Is a a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -145 - -323. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 220761826?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2041199.73 seconds to days.\nAnswer: 23.624996875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**2 + 18 - 16 + 111*g - 61*g**3 + g**2 - 108*g to the form y*g**2 + p*g**3 + s*g + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.01433 and 0.07149.\nAnswer: 0.08582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -6*b. Suppose b*u = -2*u - 80. Let o = -25 - u. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**5 + 912*i**4 + 1836*i**3 + 920*i**2 = 0. Calculate i.\nAnswer: -1, 0, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -2, 3, -0.45807, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2125 + 2336. Which is the closest to -2? (a) -1\/3 (b) 4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4 = -0*p. Suppose 3*b = -0*b - 3, 2*m + p*b = 88. Find the third derivative of -31*w**2 - 3*w**6 + m*w**2 - 27*w**2 wrt w.\nAnswer: -360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 134696 - 1a?\nAnswer: 134677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3 = 9. Suppose o*q - 4 = -0*q. List the prime factors of (-817)\/(-76) - q\/(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*w - 9*w + 5 - 7)*(3*w + 2*w - 6*w) as x*w + t + a*w**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 2*g + 21 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in -2\/3949, 1.1, -0.5, -0.87?\nAnswer: -2\/3949","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n + 12. Let a be h(4). Suppose -a = -4*s + 12. Solve -3*c - j - 8 = -c, -4*j - 16 = s*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2547568932.\nAnswer: 2, 3, 17, 79, 158077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 5. Let y(b) = 27*b - 7. Let x be y(z). Let k = x + -71. Is k a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 13*n**2 - 7*n - 2. Let r(x) = -x**2 + 8*x - 1. Give 3*r(i) + s(i).\nAnswer: 10*i**2 + 17*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.7656 + -0.2344. Let w = -0.27 + -0.03. Let r = 0 + -0.5. Which is the closest to w? (a) k (b) 0.3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 9 (b) -9 (c) 2.1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/5*70\/(-28).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 822 != 96034\/117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**3*f + 937386*a**2*f + 962568*a*f wrt a.\nAnswer: -12*a*f + 1874772*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -441*d + 3709*d**2 + 3722*d**2 + 3703*d**2 - 11127*d**2 + 441*d.\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -5*r - 177 + 422, -5*m = -r + 70. What is the remainder when r is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-13326)\/56 - (-3)\/12. Let s = q + 237. Find the common denominator of 0 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m + 89 - m - 4 + 9 to c + d*m and give c.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 283 - 283 + y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -51*c - 7. Let f be i(-1). Differentiate -13*m + m - f*m - 1 + 0*m wrt m.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of j**4\/4 + 2*j**3\/3 - j**2\/2 - 2*j - 32. Give r(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -168 (base 9) to base 14\nAnswer: -a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6992 and 514096?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 0.563.\nAnswer: 2.815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111101100000000111101110 + -10?\nAnswer: 111101100000000111101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 5:17 PM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 21*i. Let k(j) = -2*j + 98315. What is r(k(c))?\nAnswer: -42*c + 2064615","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6958229*w**3 + 3213*w**2 - 121 wrt w.\nAnswer: -41749374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + 0.14. What is y rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 31?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + h - 2. Let d be x(-2). Let g = 18 + d. What is the remainder when g is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -411*n - 37. Give d(-1).\nAnswer: 374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-15) + 16\/10. What is the least common multiple of -3*f\/(-2) + 7 and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 326 - 196. Suppose 4*l = x + 122, s = 3*l + l - 5*x. Suppose 4*u = 3*g + 35, u - 2*g - 12 = 2*g. What is the remainder when l is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -6*j**2 + 14*j + 9. Give z(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wbd when three letters picked without replacement from dbdpwp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.03 - 0.53. Let l = -2 - -3. Which is the nearest to -0.1? (a) 0.4 (b) w (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18648971?\nAnswer: 11, 43, 89, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-6*sqrt(425) - sqrt(17)) + (-5 + sqrt(51)\/sqrt(3) - (sqrt(2057) - (1 + sqrt(2057)))**2).\nAnswer: -30*sqrt(17) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1383 and 2.8.\nAnswer: 3872.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -3 - (-3 - -10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-118 - 123 + 375)*(u - 2*u + 2*u)*(-2 + 6 - 5 - 9*u).\nAnswer: -1206*u**2 - 134*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -760 + 760 + 132*h + 5*h to w + r*h and give r.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 7*a + 12. Let c be h(-8). Let s be 0 - -1 - 2*-2. Suppose -4*p + 4*o + c = -3*p, -s*p = -2*o - 172. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220) + sqrt(220) + 4*2*sqrt(220) + sqrt(220))\/(-6*sqrt(11)*2))**2 + -4.\nAnswer: 461\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/2 + 0\/(-2). Let w be (4\/(-8))\/((-2)\/12). Suppose -3*j = j + w*j. Which is the second biggest value? (a) g (b) -1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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 (-5 - 0 - (-120 - -100)) + 1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 1301*a**4\/4 - 1593*a + 1353. Differentiate k(f) wrt f.\nAnswer: 3903*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -2\/15, 0.2, -4, -2.4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2789 is divided by 1344?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -577.9196 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -8445.\nAnswer: 1\/2815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*4*((-18)\/28)\/(678\/1582)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1170*t - 1170*t + 168*t**2 + (-t - 1 + 1)*(t + 3*t - 2*t) - 1 - 2*t**2 + 1 + 348*t - 213*t**2 - 348*t + (2*t + 1 - 1)*(2*t + 5*t - 5*t) + 2*t**2 - 1 + 1.\nAnswer: -43*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1538887 (base 9) to base 7\nAnswer: -10151446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6\/365, -0.4, -485.86, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 246 and 1530382851?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -21*i**2 - 8*i + 8. Let w(l) = 3*l**2 + l - 1. Let k(z) = -n(z) - 8*w(z). Let p(u) be the third derivative of -37*u**4\/24 - u**2. Calculate k(p(c)).\nAnswer: -4107*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 492, 984, 1476, 1968, 2460?\n\"Answer: 492*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46048 is divided by 23019?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -1, 1\/2, -11.8, -4, -12 in ascending order.\nAnswer: -12, -11.8, -10, -4, -1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 576 and 34463232.\nAnswer: 34463232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 1) + (-27)\/(-3)*1. Suppose -z*w + 64 = 43. Solve -w*p + 6 = -0*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3100 - 3096. Suppose -f + 3 = -18. Suppose -15 - f = -l*x. Solve -s = 2*b - 7*b - 5, 3*b - x = 3*s for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - k - 12 = -45, -39*t - 22*k = -21*k - 271 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 28, 55, 92, 139, 196?\nAnswer: 263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239939 is divided by 18456?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 12:06 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -0*x + 5*x + 5, -2*c = x + 7. Let q(g) be the second derivative of g**4\/12 + 5*g**3\/6 - 3*g**2\/2 - g. What is q(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2066\/3 - 689. What is the second smallest value in l, -1, -14\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85383948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 39*z - 3. Let s(l) = 5*l + 4. What is j(o) - 2*s(o)?\nAnswer: 29*o - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 17*m**2 - 3*m - 3. Let i be b(-1). Suppose -2*s + i + 47 = 0. Let l = -18 + s. Is l a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -34*m + 4. Let y be b(-1). Suppose -r = -y - 16. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1055187 and 630.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26404537667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 86384703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 11*g + 29. Calculate c(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.038 + -3.038. Which is the third smallest value? (a) r (b) -2 (c) -9 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 j when two letters picked without replacement from {y: 1, e: 3, j: 5, c: 6, g: 2}?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 138077, 139571, 142061, 145547, 150029, 155507, 161981?\nAnswer: 169451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 5) to base 16.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -286 + 121. Let y = -491\/3 - t. What is the common denominator of 80*(-1 - (-41)\/45) and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 10:49 AM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 2\/2369?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*o, t = -o - 198 - 803. Which is smaller: t or -1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 15, 1, 28242 in decreasing order.\nAnswer: 28242, 15, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + c. Suppose -3*t - o - 31 = 0, 3*t - o + 24 = t. Let g(f) = -6*f**2 + 5*f. Let v(u) = t*n(u) + 2*g(u). Factor v(m).\nAnswer: -m*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -5. Let z(m) = -6*m + 0*m + 11 + m + 4*m. Let v(j) = 13*c(j) + 6*z(j). What is the derivative of v(b) wrt b?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.8 and 820.808.\nAnswer: 656.6464","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -579812 + 186382. What is y rounded to the nearest 1000?\nAnswer: -393000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*c*w**4 + 102*c + 3366*w**4 - 26*w**2 wrt w.\nAnswer: -264*c*w + 80784*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 10:36 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4051 (base 7) to base 14.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*j**5 + 11*j**5 + 10*j**5)*(-2 + 1 + 0).\nAnswer: -14*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001668 rounded to 4 dps?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6149?\nAnswer: 11, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-4)*(-11729)\/(-634)*-4.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 times -210854?\nAnswer: 6325.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 346*n**3 - n - 2. Let k be t(-1). Let g = k - -350. Solve -2*q - 8 = z, q + 3*z = g*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (13 - 12) + 4\/2. Suppose 0 = -4*r - 8, 5*r + 3 = 2*c - j. Let k(t) = -7*t**2 - 3*t - 3. Give k(c).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.06984409 from -31.4284.\nAnswer: -31.49824409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22660 - -39.\nAnswer: 22699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 48948909 - -0.117\nAnswer: 48948909.117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 k when three letters picked without replacement from {p: 13, k: 3}.\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -7*g**4\/24 + 26*g**3 - 136*g**2. Let r be u(22). Solve -18 = 11*s - r*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193.3345 millennia in centuries?\nAnswer: 1933.345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1362, -2758, -4154, -5550, -6946?\nAnswer: -8342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 8476, 2\/7, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u + 2*n + 6, 0 = 2*u + 81*n - 91*n - 8 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o - 4. Let b be 4\/(-8) - 6\/(-4). Let s = 6 - b. Let q = s + -1. Give j(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 59*w + 54*w = 83, -3*g = 2*w - 18 + 65 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.9140954 rounded to the nearest integer?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 13*i**2 - 41*i + 178. Let v be p(15). Let l(k) be the first derivative of 0*k + v + 7\/2*k**2. Give l(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 11:55 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -7 - (5 - -8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from aaajajja?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53.8 + 86.81. What is j rounded to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooodojooo. Give prob of sequence oj.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -59.7 + 63. Let r = 672763 + -672759.70017. Let x = c - r. Round x to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1744 by -6.\nAnswer: 872\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 560.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i + 17 = -3*r - 13*i, 13 = -3*r - i for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -7\/5*y - 3\/2*y**2 + 62 - 1\/20*y**4 - 3\/5*y**3. Let b(q) = 0. Calculate q.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67533379 divided by 6\nAnswer: 67533379\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 3*q + 3. Suppose -3*g - 4 = 5. Let f be b(g). Solve -2*a = -f*a + 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 1 - 3 = 0. Let c(h) = 26*h**2 + h - 1. Let r be c(a). Suppose -r = -v - 4*v. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 11:44 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18043, 18044, 18045, 18046, 18047, 18048?\nAnswer: 18049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s*s**(-1)\/s*s)*s)\/s)**21*(s**(-1\/4))**40 assuming s is positive.\nAnswer: s**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**3 + 5*b**2 - 4*b. Let p be z(-3). Solve 2*s = -p*q - 2*s + 7, 0 = -5*q - s + 23 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 392 = -5*b + 12*b. What is the remainder when b is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -28, -68, -124, -196, -284, -388?\nAnswer: -508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0\/2)\/(-1) + 20. Let m(v) = 7*v**2 + 2*v - 12. Let b be m(4). Suppose -g - 28 = -b. Calculate the highest common factor of g and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 8:47 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 45193163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -695 >= -686?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5119 - -5119. Which is bigger: s or -16\/17?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84 divided by -14.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2236245 and 165.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-19)\/(t\/t**(2\/33)*t) assuming t is positive.\nAnswer: t**(-691\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + 0)\/(1 + -17) - 0. Sort -4, 52, l in decreasing order.\nAnswer: 52, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01 and 30.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -1, -3, -5, -65 in descending order.\nAnswer: 4, 0, -1, -3, -5, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 24*y + 16. Calculate l(24).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-7)*c)\/c)**(-10) assuming c is positive.\nAnswer: c**(-80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 131*l + 831. Let a be u(-3). Sort a, -4, 5, -5, -3 in increasing order.\nAnswer: -5, -4, -3, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*r + 12519 = 23*r. Suppose -5*i = 3*b + 668, 0 = 4*b + 2*i - i + 868. Let a = r - b. What are the prime factors of a?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5*(sqrt(684) - sqrt(684)*1) + sqrt(684) + -1 + -2 - ((sqrt(684) - -2*sqrt(684)) + sqrt(304)*-4 + -2)**2).\nAnswer: -42*sqrt(19) + 249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4018 + 4018.1. Is -930 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-10)*(-2)\/(-70))\/(28\/(-140))?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) -39 (c) -2\/9 (d) -1 (e) -2\/3 (f) -3471 (g) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 317039683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -1\/2 (c) -2 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -0.1 (c) -1\/7 (d) 703 (e) 10 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -23916?\nAnswer: -95664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252052?\nAnswer: 2, 61, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*l + 5. Suppose l*w - 11 - 24 = 0. Let o(a) = 3*a - 16*a - 2*a**2 + 6*a + 8*a + 5. Let g(r) = -4*r**2 + 3*r + 11. Calculate w*o(h) - 3*g(h).\nAnswer: -2*h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2003802 is divided by 500754.\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 809 is divided by 173?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 1705*q**2 + 397*q + 1. Let k(w) = w**3 + 2274*w**2 - 529*w - 1. Let i(y) = 9*f(y) + 7*k(y). What is the second derivative of i(d) wrt d?\nAnswer: -12*d + 1146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 2) + 10 - 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/2870658 and -43\/14868.\nAnswer: 338737644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 280 and 680.\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -s**2 - 16*s**3 - 27*s + 0*s**4 + 3*s**2 - 2*s**4 - s**4 wrt s?\nAnswer: -72*s - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 438 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17946446 is divided by 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 161 and 138.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*h - 29 = 0, 0 = 404*r - 408*r + 3*h + 24. Solve 3*x + 13 = 5*t + r, 0 = 3*x + 3*t + 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.6? (a) 8 (b) -132 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 234277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1775 + 1775.5. Let h = 8 + -13. Which is the second biggest value? (a) -1 (b) -3 (c) h (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -10*j + 15*j + 50, 2*m + 28 = -4*j. Let o(g) = g**3 - 2*g**2 - 2*g - 2. What is the remainder when m is divided by o(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 364 - 78716?\nAnswer: -78342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 175244909 to the nearest integer?\nAnswer: 13238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -195, -469, -837, -1305, -1879?\nAnswer: -2565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2*b = -2736, -98*z + 99*z - 534 = 4*b. Is 4 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a kilometer in meters?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -y - 56*z + 58*z - 1, -25*z = -5*y + 80 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.69 times -0.730402\nAnswer: -0.50397738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = w - 3*b, -18*b = 3*w - 23*b - 11. Let k(v) = -16*v**2 + 15*v - 16. Let u(y) = -3*y**2 + 3*y - 3. Calculate w*k(s) - 11*u(s).\nAnswer: s**2 - 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**4 - 10*z + 46 + 0*z - 2*z**2 + 41 + 0*z**4 - 88 as j*z + d*z**3 + y + i*z**2 + c*z**4 and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/3 and -36\/149.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-618)\/(-12) + -4)*20 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from uhjhjrhwrhhruhhrw?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*s**5 + 4182*s**4 + 19404*s**3.\nAnswer: 2*s**3*(s + 294)*(7*s + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -2 + 12. Let b = 867.371 + -867. Let c = b + 0.029. Put c, -4\/5, g in increasing order.\nAnswer: -4\/5, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29938349 and 5810.\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3534, 3563, 3592?\nAnswer: 3621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-4))\/(2\/(-188)). Let h be (-14)\/(-4) - (-4)\/(-8). Suppose t - 47 = -f, 0 = -5*t + 4*t - h*f + p. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 - 35. What is the tens digit of 1 + f\/(12\/93)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000738012 rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -150, -4 in ascending order.\nAnswer: -150, -8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/159 and 47\/285930.\nAnswer: 15154290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1413508747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 2. Let d be (-68)\/(-20) + o\/5. Suppose -2*i = -d*w + 11000012, w - 4*w - 21999988 = 4*i. What is i rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**2 - 2*i**2 + i**2 + (0*i - 2*i + i)*(4*i - 3*i + 4*i).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 9*o**2 - 5*o - 5. Suppose 3*m - 16 = -4. Let s(i) be the first derivative of 8*i - 14\/3*i**3 - 1 + m*i**2. Determine -8*l(t) - 5*s(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2\/2 + 78890745*y + 157781496.\nAnswer: -3*(y - 52593832)*(y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 - 16. What is the remainder when 26 is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2433854 is divided by 993?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115286 is divided by 2681?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -103*h**3 - 39*h**3 + 58*h**3 + 6*h**3 - 3*h**3 - h**3 + (-10 + h**2 + 10)*(3 - 3 - h) to i + l*h**3 + q*h**2 + f*h and give l.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/238 and 54\/49?\nAnswer: 1666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -5*a - 5*s, -2*a + a + 3 = -4*s. Let o be 1 + 4\/((-36)\/a). Let k = 200 - 199.5. What is the third smallest value in 1, o, 2\/5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a centimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.29, -1, 3\/377, 0.4, -2\/37 in decreasing order.\nAnswer: 0.4, 3\/377, -2\/37, -0.29, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/((-385)\/(-84)))\/((-4)\/2).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360 is divided by 122.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -29000 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2659 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -12*i + 11*i + 7, 3*i - 12 = 3*h for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*o + 5, 2*h + 0*o - 5*o - 22 = 0. Let q be ((0 - h) + 0)\/(71\/(-142)). Suppose -3*p + 23 = q*g - g, 4*g = p - 25. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16128150 to the nearest integer?\nAnswer: 4016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5264 and 0.5?\nAnswer: 5263.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -114, -146, -188, -240?\n\"Answer: -5*g**2 - 17*g - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18575 and 1225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 179, 271, 365, 461?\nAnswer: 559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5 + -2 + (3*(sqrt(3087) - sqrt(3087)*-1 - sqrt(63))*4)**2.\nAnswer: 1533157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**3 - 6*k**2 + 8*k - 9. Suppose 7 + 13 = 5*g. Is u(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03361638082 rounded to four dps?\nAnswer: -0.0336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1031 is divided by 176?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g + 16. Let n be z(-7). Let b = n - -27. Let j = b + -34. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12381767 + 12381767 + 3*f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7903, -7898, -7891, -7882, -7871?\nAnswer: -7858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27365)\/10525)\/((-4)\/(-8)*(-2)\/5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2044, 2045, 2046, 2047, 2048, 2049?\n\"Answer: d + 2043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5998 divide 1459223430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 1752 = -1750 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 171912 to the power of 1\/2, to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.8 in 257, 7.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 5. Let v(p) = 15186*p**2 + 2*p + 4. Let i be v(w). Let s = i + -90672. What is s rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1163217.\nAnswer: 3, 11, 101, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-915)\/(-305)*(12\/8)\/(1\/(-6)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5910, 11822, 17748, 23694, 29666, 35670, 41712?\nAnswer: 47798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + d - 3*d)*((0 + 4 - 6)*(d**2 - d**2 - d**2) + d**2 + 2*d - 2*d).\nAnswer: -18*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-75)\/(-6) - 5\/10. Solve 3*v - i + n = 4*i, 2*i - 8 = -2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5817 = m - 26426. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 134\/(-469)*4*35\/(-15)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 1. Let m(u) = -2 - 37*u**2 + 75*u**2 - 36*u**2. Let i be -4*((-85)\/20)\/17. What is i*m(a) + 2*o(a)?\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/8 of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from vvvvvvvvvbvbvbvbvvvv.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 10:50 AM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 6 = -5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2, 0, -14, -56, -138, -272, -470?\n\"Answer: -2*v**3 + 4*v**2 + 4*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 6*t**2 - 2*t - 1. Let x be s(4). Let d = -67 - -81. Suppose 3*h - 3*n = d + 40, 0 = -5*h - 2*n + 118. Which is greater: h or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u + 15. Calculate c(-13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/(((sqrt(50) - (sqrt(450)\/sqrt(9) - sqrt(50))) + sqrt(50))\/sqrt(5)))**2.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d*d*(d**(-3\/5)*d)\/d)\/d*d**6)\/((d*d\/(d\/d**(-1\/6)))\/d*d**(-3\/2)\/d) assuming d is positive.\nAnswer: d**(151\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/55 and 3\/443904380?\nAnswer: 4882948180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l + 2. Let n be j(1). Suppose -h = -8 + n. Is h bigger than 11\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 12. Let j(q) = 2*q**2 - 12. Let y be j(s). Suppose 4*m - y = -3*z, 3*m + m = -4*z + 116. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418585 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3, 13, 23, 33, 43, 53?\n\"Answer: 10*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/1121, 0.17, -1\/4, -25?\nAnswer: -1\/1121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z - 7. Let x be m(7). Suppose x = -o + 5*c + 50, 0 = -o - o - 5*c + 85. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -57 + 104. Let p = -21 + t. Calculate the remainder when p is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 6*r**2 + 7*r - 7. Let i be (-5 - -5) + 4 + 1. Let m be x(i). Suppose 48 = -5*k + m. Is 16 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0428795499 to 3 decimal places.\nAnswer: -0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -103 + 101 - (7 - (5 - ((-6 - 1) + -21)))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*z = -49*z + 2388. List the prime factors of z.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 5.2. What is the second biggest value in c, 2, -1, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/20*(0 - 10). Suppose -y - 1 = 3*x, 3*x - 11 = g*y - 37. Solve -17 = -5*f - 3*s, -y*s + 0 = -20 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from titfdiinnftttt. Give prob of picking 2 f, 1 n, and 1 t.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -70134 (b) -1.39 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 82492.76 millilitres?\nAnswer: 82.49276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.02932 years to months.\nAnswer: 768.35184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32 + 24)*(-4)\/6*159\/106?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 23*f - 121. Suppose -4*v - 23 = -p - v, -5*p + 55 = 5*v. Let r be c(p). Solve 0*o - 20 = r*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 398377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*x - 197 = -50*x. List the prime factors of x.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/6 - (-4)\/6. Suppose -3*g - a*g = -20. Suppose x - g*x = -114. Is x a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 187142959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(25) - sqrt(100)) + sqrt(25))\/sqrt(5)*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - c + 2*c)*(147661516 - 147661516 - 19386*c).\nAnswer: -19386*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from raaajfjnranarrrr. Give prob of sequence jan.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((3*5\/(-45))\/(-2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nniqpee?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*a**2 + 0*a + 1\/3*a**5 + 0 + 0*a**3 - 1\/3*a**4.\nAnswer: a**4*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 88, 135, 220, 349, 528?\n\"Answer: g**3 + 13*g**2 + g + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (-23 + 3) - (0 + -5 - 2)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-144)*16\/(-34) - 0\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 10*u**2 - 7*u + 16. Suppose 9 = -39*r + 38*r. Give k(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 112 - 89 - (17 + 6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 156 - 156.4. Which is the closest to -21? (a) 2\/7 (b) -2\/9 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 90.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4012, -8106, -12210, -16330, -20472, -24642, -28846?\nAnswer: -33090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m - 52*m + 299008 = 0. What is the hundreds digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3*3*((sqrt(252)*-2*-3 - sqrt(252))*-3 + 2 + -5))**2.\nAnswer: -18373716 - 174960*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 285, 743, 1993, 4431, 8453, 14455?\n\"Answer: 66*u**3 - 4*u + 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 15228*w - 348. Let n be t(-34). What is n rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 2*m - 59, -10*m + 35*c = -12*m + 6*m + 20*c - 157 for m.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h - 2. Let j be c(2). Let u be 48\/(-360) - (8 - 610\/75). Let 2\/3*q + u + 1\/3*q**j = 0. What is q?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 8:20 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(262 - 209 + 0*g + 3*g).\nAnswer: -3*g - 53","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -j**5\/60 - j**4\/12 - j**3\/3 + 6196*j**2. Calculate y(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of 3*d**5\/160 + 21*d**4\/2 + 335*d**3\/16 - 3*d + 362. Factor m(l).\nAnswer: 3*l*(l + 1)*(l + 335)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22222220 - -12?\nAnswer: 100000002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by -144.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (1*168)\/(-3). Let v = 70 - d. Is 2\/6*3*v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 248*t + 1531. Let v be o(-6). What is the greatest common factor of v and 817?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 546 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 19124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, s: 1, i: 1, t: 1, e: 1, q: 2}. What is prob of picking 1 b, 1 i, 1 s, and 1 q?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 101.7 + -102. Which is the biggest value? (a) y (b) 2\/5 (c) 0 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(864))\/sqrt(288))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**3 - 282*r**2 - 3693*r + 3978 = 0. Calculate r.\nAnswer: -78, -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 37 (b) 12\/13 (c) -197\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 438 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 458.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 3. Suppose -2*x = 10, 0 = 5*n - x + 14 + o. Let f = -4 - n. Round f to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4\/13 + 38*z**3\/13 - 132*z**2\/13.\nAnswer: 2*z**2*(z - 3)*(z + 22)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*n**4 + 1590*n**3 - 11426 wrt n?\nAnswer: -12*n**3 + 4770*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 500 and 71788?\nAnswer: 8973500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2097437 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3*o = -37, 5 = 2*i + o - 10. Calculate the highest common divisor of 8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l**2 + 23*l - 60. Give z(-14).\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 9:11 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*s + 197026 - 182739 = 0 for s.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (130\/(-52))\/(2\/(-4)). Suppose -7*t + 12*t = 0, p*n = 5*t + 245. Let c(m) = 4*m**2 - 7*m + 5. What is the remainder when c(-6) is divided by n?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3885309a + 1?\nAnswer: -38853099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h - 3. Let l(d) = -2*d + 2. Let k(z) = 3*j(z) + 4*l(z). Let u be k(-1). Let n = 2 - u. What is the third smallest value in n, 1, -3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**3 - 2*h**3 + h**3)*(-2 - 12 + 5 + (4 + 1 - 3)*(0 + 5 - 3) + 2 - 2 - 1).\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u = -22760 + 113267 + 35853. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/(-20)*318780\/59202?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 256991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.343 - -8.657. What is the nearest to -1\/3 in 6\/11, -2\/5, k, 0?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r + 3. Let b(d) = d. Let u(c) = 3*b(c) - i(c). Let l(n) = n**2 + 3*n. Let w be l(4). Suppose 2*s = -5*g - w, -5*s = g - 3*g + 12. Determine u(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-44) + 0\/5 + (-298)\/(-1192).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164012.\nAnswer: 2, 131, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 25*q - 20*q)*(-170 + 17 + 48).\nAnswer: -525*q + 420","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -0*h + 2. Suppose 2*w - 1 = -3*w - 3*n, h*w = 4*n + 16. Let s(c) = 11*c**w - 23*c**2 + 11*c**2. Let d(q) = -7*q**2. Calculate s(d(r)).\nAnswer: -49*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nqf when three letters picked without replacement from qxsswnxxfsnx.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssdwwwdddwww. What is prob of picking 2 d and 1 w?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5042688.7 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1529*t**5*v - 2*t**2*v**2 - 6503*t**2 + t*v**2 + t*v - 199052*v**2 + v + 8 wrt t?\nAnswer: 30580*t**3*v - 4*v**2 - 13006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 392 a factor of 335664896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 + 94*u - 555. What is v(-53)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -9*i**3 + 2*i - 3. Let n(j) = -8*j**3 + 3*j - 2. Let r(m) = -2*b(m) + 3*n(m). Find the second derivative of r(u) wrt u.\nAnswer: -36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0591311 years in millennia?\nAnswer: 0.0000591311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 274805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15266951 or 30533903\/2?\nAnswer: 30533903\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 0)*(-6 - -10). What is the third derivative of -25 + 44 + 4*f**2 + 5*f**i - 19 wrt f?\nAnswer: 120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2750\/(-2475)*972\/(-24)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + p - 10 = -5*m, 0 = -3*p - 6. Suppose -5 = -c - 23. What is the remainder when 48\/c*(-6)\/4 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -3 - 6 - ((0 - -7) + -1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 761 divide 1239669?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 p when two letters picked without replacement from zxpppuxxxxxzp.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/468 and 109\/572.\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.5 + -2.5. Let s be 45\/(-108)*(-2)\/5. Sort h, s, -10 in decreasing order.\nAnswer: s, h, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.25 from -1.201.\nAnswer: -1.451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s - s + 0*s + 62482*s**3 - 208712*s**3.\nAnswer: -146230*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g. Let n be ((-4)\/((-64)\/(-12)))\/(2\/(-32)). Let u(c) = c + 3*c + n*c + 6*c. What is u(i(x))?\nAnswer: -66*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, w: 8}. What is prob of sequence wwww?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 31*n**2 - 133*n + 175. Let q be k(26). Solve q*d - 27*d = -490 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1992.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2160 and 15930.\nAnswer: 127440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/((-4995)\/(-3108)*70)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of 4*m**7\/35 + m**5\/60 - 37*m**3\/3 - 69*m**2. Differentiate i(s) wrt s.\nAnswer: 96*s**3 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -n**7\/21 - n**6\/15 + 6*n**5\/5 + 536*n + 2. Let p(g) = 0. Calculate g.\nAnswer: -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5*153\/(-595))\/(8\/14)\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 10. Let f(p) = -p + p**2 + p**3 + 1 + p - 2*p**2. Let x be f(z). Calculate the greatest common divisor of 55 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 395583.\nAnswer: -395583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1343.8 - -1261. What is c rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*x**3 + 18*x**3 - 17*x**3.\nAnswer: -25*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5603688 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*z - 110*z = -9996. Solve 151*b = z*b + 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3403853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 176 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1240800 to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4162390305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p + 58 - 58.\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 39*l**2 - 120*l + 74. Give z(5).\nAnswer: 449","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 4*b - 6, 2*c - 5*c = -2*b - 3. Let d = 9 - 5. Suppose -4*r = -d*n - c*r + 49, 0 = -4*n + 4*r + 52. What is n rounded to zero dps?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 680340414 to the nearest integer?\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(13) - sqrt(130)\/(sqrt(10) + sqrt(60)\/sqrt(6))).\nAnswer: 5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 260, 1476, 3490, 6290, 9864?\n\"Answer: -2*z**3 + 411*z**2 - 3*z - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -2\/5, -26, 23735?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (40\/(-8) - 1) + 9. Solve 0 = -8*w - 21 - b for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -4*t + 1325, 4*f - 629 = -3*t + 357. Calculate the remainder when t is divided by 53.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {c: 2, e: 2, p: 1, q: 9}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -21*c - 1586. Give z(-75).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lzql when four letters picked without replacement from qzqqqzzqlqlzq.\nAnswer: 7\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-503)\/3*(-21 - -24)*-1. Let k = i - 14. What are the prime factors of k?\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, -4 in increasing order.\nAnswer: -4, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -911 - 146*q**2 + 647 + 542 wrt q?\nAnswer: -292*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**13\/r*r**(5\/6)*r*(r**(-2)\/r)**37 assuming r is positive.\nAnswer: r**(-577\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -70146 at least as big as -70150?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62930671 is divided by 3139.\nAnswer: 3138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/67 in -2\/415, -2\/7, 4, 0.8?\nAnswer: -2\/415","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41994 = 2*f - 3*c, 2*c + 63004 = -4*f + f. Round f to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20722 * -5.\nAnswer: -103610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -124*c + 132*c + 3*f, -f = c + 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + x + 80. Suppose -585*m + 10 = 2*d - 587*m, -4*d + 2*m = -22. What is the lowest common multiple of x and d?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60365699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -18128 divided by 4532\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of 3*x**5\/20 - 7*x**4\/3 + 3*x**3\/2 + 9*x**2 + 16*x. Let w be f(9). What is the greatest common divisor of 81 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of x**4\/12 + 5*x. Let i(h) be the first derivative of -2*h**3\/3 - 73*h**2\/2 - 2070. Calculate i(n(u)).\nAnswer: -2*u**4 - 73*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(((-15)\/54)\/(-5)). Suppose 2*z + v = -2*z + 4, -3*z + o = -3*v. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -11351923\nAnswer: 9\/11351923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.188265 rounded to two dps?\nAnswer: 4.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -745*x**2. Let k(b) = 3*b**2. What is k(f(m))?\nAnswer: 1665075*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of y**2\/2 - y - 1. Let l be d(1). Does 3 divide (l - 1)*(-7 + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 5*b + 4*b)*(5*b**3 - 2*b**3 - b**3) - 3*b**4 + b**4 + 0*b**4 + b**4 + 20*b - 553*b**3 + 553*b**3.\nAnswer: 3*b**4 + 20*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 10*f + 9. Let w be i(9). Suppose v - 2 - 4 = w. What is the third derivative of -l**6 + 2*l**6 - 2*l**2 - 2*l**v wrt l?\nAnswer: -120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/1*8\/(-48)*-12\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 - 4*g - 8 + (-3 + 3 - 1)*(-3*g + 3*g + g)*(-37 + 4 - 41).\nAnswer: 70*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 35 = -5*s. Let u be -5 - 0 - -2 - (-29)\/s. What is the biggest value in u, -1\/2, 0.05?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o. Let w(a) be the third derivative of a**5\/30 - a**4\/4 - 2*a**2 + 16. Let m(s) = 8*s**2 - 22*s. Let h(b) = -6*m(b) + 22*w(b). Calculate h(g(k)).\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 294 times -2784\nAnswer: -818496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 366, 1101, 3144, 7155, 13794, 23721, 37596?\nAnswer: 56079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 34 + 2 - 7*y + 9 + 4. Let w be d(-8). Calculate the greatest common divisor of w and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4*v - 33 + 2 = 0, 0 = 3*v - 12. Suppose 2*q = -5*y + 241, -3*y + 143 = -o*q + 5*q. Suppose 14*c - y = 49. Solve 4*z = -c + 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)\/sqrt(11)*2)**2 - -1*sqrt(19)*2.\nAnswer: 2*sqrt(19) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of 22*v**5\/5 + v**4\/6 + 6201*v**2. Factor s(b).\nAnswer: 4*b*(66*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(363) + -2 + (sqrt(27) - (sqrt(108) + -1*sqrt(108))).\nAnswer: -5 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 7*o**2 + o + 2. Let u(f) = -337*f**2 - 6*f - 11. Determine 10*d(l) + 2*u(l).\nAnswer: -604*l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 4)*(0*m - m + 3*m).\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-28)*-24 + (-38)\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rqmq when four letters picked without replacement from rmrqmhhqq.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1015039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a9 (base 13) to base 12.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 7*p**2 - 9*p + 261. Let t(i) = 3*i**2 - 2*i + 3. Calculate l(r) - 4*t(r).\nAnswer: -5*r**2 - r + 249","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.5 + -9. Which is the biggest value? (a) q (b) 5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5 = h - f, 15 = -3*h + 3*f. Let m(i) be the second derivative of -i**5\/10 - i**4\/3 - i**3\/6 + 3*i**2\/2 + i. What is the tens digit of m(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*l**2 - 3*l**2 + 23*l**2 - 8*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 - -7. Let c = -20.99932 - k. What is c rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2 - 5*t + 5. Let x(y) = -3*y**2 + 9*y - 9. Let u(m) = 4*m + 3. Let b be u(-3). Let r = b + 4. Determine r*p(a) - 3*x(a).\nAnswer: -a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) -4 (b) -8\/5 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 4, 194726 in descending order.\nAnswer: 194726, 4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3 = 0, 5*c - 5 = u - 0*c. Suppose 0 = 2*r - 4*o + 12, u*o - 4*o - 44 = 5*r. Is ((-59)\/(-2))\/(r\/(-16)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: a1 (base 15) to base 16\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.24*-119822\nAnswer: -28757.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2309.04 + -2309. Sort -0.1, t, 0.13, 0.3, -2\/13.\nAnswer: -2\/13, -0.1, t, 0.13, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -199162, -796643, -1792438, -3186547?\n\"Answer: -199157*b**2 - 10*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -2*x**4\/3 + 23*x + 2. Let a be 0\/(20\/(-5) - -2). Let b(s) = s + 0*s + a*s - 5*s. Determine h(b(l)).\nAnswer: -128*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 333 > 0.394?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five sixths of a day?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -63 - 45 + 151 - 44. Let h(d) = 2*d + 7. Calculate -h(q) + 2*x(q).\nAnswer: -2*q - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 131366838 to the nearest integer?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*r + 28*r + 40. Calculate the lowest common multiple of 10 and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + -97. Let h = 96 + b. Let t be 19 + -13 + (-6 - -2). Sort t, -1, h in descending order.\nAnswer: t, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -99, -34, 107, 324, 617?\n\"Answer: 38*x**2 - 49*x - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42839.\nAnswer: 42839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5036389 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5065573 + 5065573 + 13919*j)*(-j + 2*j**2 - 4*j**2 + 0*j**2).\nAnswer: -27838*j**3 - 13919*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 607142654 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -134, -266, -398, -530, -662?\n\"Answer: -132*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r + 29*r = -36. Let c(v) = -20*v**2 - 7*v + 38. Let p(g) = 20*g**2 + 6*g - 38. Let b(u) = r*c(u) - 7*p(u). Differentiate b(y) wrt y.\nAnswer: -40*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9511381, 9511377, 9511373, 9511369?\n\"Answer: -4*x + 9511385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 880, 1761, 2642, 3523, 4404, 5285?\nAnswer: 6166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1330 is divided by 439?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7811034 and 683529.\nAnswer: 2541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 48. Suppose 2*b = 5*o - 12, -2*b - 3*b + k = 4*o. Solve -g - b*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8 and -71483272.\nAnswer: -71483264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2641107, 5282229, 7923351, 10564473, 13205595, 15846717?\nAnswer: 18487839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6910.11ug?\nAnswer: 6910110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - k - 1763, 23*g = 20*g - 4*k + 1346. What is the highest common divisor of 130 and g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 1:34 PM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 + 35. What is the remainder when 16 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 12:02 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -5 (c) 1\/2 (d) 3.35 (e) -3 (f) -2\/23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35322717230 - -2.\nAnswer: -35322717228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 13*q**3 + 12*q**2 - 3*q + 7. Let r(i) = -7*i**3 - 7*i**2 + i - 4. Let l(z) = 4*d(z) + 7*r(z). Let y(b) = -5*b**3 + b**2 + 8*b. Give -8*l(n) - 5*y(n).\nAnswer: n**3 + 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-206)\/(-4))\/(12\/48). Suppose 0 = -8*u + 6*u + m. Let n = u + -72. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3845 + -3823. Which is the biggest value? (a) 42 (b) -0.2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -141383459 times 0.3?\nAnswer: -42415037.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + (-1)\/(-3 + 4). Let f be v + ((-6)\/4 - -1). Let w = 2 - 12\/7. Which is the closest to f? (a) -2\/19 (b) 0 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 4. Let c be 3\/(6\/404) - m. Suppose -a = -5*f - 40, 0*a - 5*a + c = -4*f. Calculate the greatest common divisor of a and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -16*k + 17. Let z be s(2). Let g(c) = -c**3 - 14*c**2 + 14*c - 13. Let u be g(z). Solve 3*t - 2*w + u = -15, 0 = t + w - 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1799.396l to millilitres.\nAnswer: 1799396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/8 and -19 + (-108)\/(-12) - (-189262)\/18920.\nAnswer: 18920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -11*c**2 + 4*c + 12. Let w(m) = 47*m**2 - 17*m - 51. Let i(s) = 17*p(s) + 4*w(s). Let f(q) = q**2 - 159*q. Calculate f(i(j)).\nAnswer: j**4 - 159*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 6 = -2*g - 2*g, 9 = 4*g - u. What is the units digit of 15 + 0 + (2 - g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in 8\/23, 0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 4*k - 1. Let g be u(-7). Let r = g + 31. Calculate the remainder when 26 is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 18 - 118 = -4*x, -3*j = -2*x - 55. Suppose -36*u + j*u = -1005. What is the remainder when u is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c - 8. Let w be l(8). Let j(z) = 4*z - 2*z + w - 1 + 0*z. What is j(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-100)\/(-15))\/(-10)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -24, -35?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*b + 45 - 9 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 125122 > 2001975\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5*m + 48. Let a be n(9). Suppose 0*v + v + a = 0. Calculate the remainder when 2\/v + (480\/18 - -3) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -869383\/29 >= -29979?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/334 and -103\/72.\nAnswer: 12024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 362 divide 888059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 divided by 2.\nAnswer: 41\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40644836*f**3 - 41818147 with respect to f.\nAnswer: -121934508*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 35 - 3 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of 15*c**4\/4 + 25*c**3\/3 + c + 42. What is the second derivative of o(l) wrt l?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.4 and -0.1?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -343 or -2242?\nAnswer: -2242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 5 - 6*q + 2*q + 12. Let i be a(-5). Let w(o) = 3*o - 2. What is the units digit of w(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a + 0*a - 2*a + (-3 + 4 + 1)*(-2 - 2*a + 2) + 2*a + a - 5*a - a + 0*a + 0*a - 243*a + 192*a + 318*a + 1 - a - 1 + (3*a + a - 6*a)*(3 - 4 + 2).\nAnswer: 256*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 459 by -459.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.65 - 377.75. Round u to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 70541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -68, -99, -148, -221, -324?\n\"Answer: -b**3 - 3*b**2 - 15*b - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 + 1 + (0 - 2). Let q = 310.88 - 310.92. Which is the third smallest value? (a) -3\/7 (b) q (c) v (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**4\/3 - 250*k**3\/3 + 6443*k**2 - 434812*k\/3 + 415732\/3 = 0.\nAnswer: 1, 37, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/(16\/1) - (29900\/(-160) - -45) is divided by 51.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 4*y + 7. Let n(i) = -i - 2*i**2 + i**2 + 0*i + i**3. Let x be n(0). Let s(p) = 4*p + 4 - 2*p + x. Determine -5*s(a) + 3*w(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 353*f - 9884. Let u be s(28). Solve u = 119*b - 114*b + 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*g**2 - 73*g**2 + 163*g**2)*(4*g**2 - 5*g**2 - g + 0*g**2).\nAnswer: -70*g**4 - 70*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 208\/6 - 1\/(-3).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -160 - 178?\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 441, 444, 447, 450, 453, 456?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 425 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 (sqrt(85)\/((sqrt(30)\/sqrt(3))\/sqrt(2)) + sqrt(17)*2*-6 + -4)**2 + 2*1*(sqrt(187)*-2)\/sqrt(11)*4.\nAnswer: 72*sqrt(17) + 2073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*g = 65*g - 476. What is the highest common divisor of g and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 134301402 - 3?\nAnswer: 134301344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -t + 774, -7*p - 4*t + 506 = -5*p. Is p a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) + -2*sqrt(396) + sqrt(44))\/(sqrt(20)\/(sqrt(10) - (-1*sqrt(10) - sqrt(10)))))\/((sqrt(180)*2)\/((sqrt(110)*-1)\/sqrt(11) - sqrt(10))).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of 79*x**5\/20 + 7*x**3\/6 - x**2\/2 - 67*x. Is y(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out 60.5098538 + 0.2008.\nAnswer: 60.7106538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21668520 and 912.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*v**5 - 423619*v**3 + 5*v**2 - 1668*v + 5 wrt v?\nAnswer: 300*v**2 - 2541714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iytigyzggzgyyiyigiji. Give prob of picking 1 z, 1 i, and 1 y.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13750 + 14129. Solve k = -2*b + 367 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5911 or 1?\nAnswer: -5911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 841709 is divided by 29020.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (21*q + 2 - 6 + 5)*(2173*q - 1148*q - 1099*q + 4*q**2) as v + y*q**2 + c*q + w*q**3 and give c.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28163 + -27704. Which is the fourth smallest value? (a) 1\/3 (b) f (c) 2 (d) -4 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five halves of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 1)\/((-11)\/(12 + 10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6877 + 16464. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-1 - -3) + -10 - -2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -150, -663, -1514, -2703?\n\"Answer: -169*z**2 - 6*z + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 694836.\nAnswer: 2, 3, 19301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 702843?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (39 - 0)*(416\/24 - 17). Suppose -r*k = -10*k - 378. Calculate the greatest common divisor of k and 288.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -1\/120*o**6 + 183*o**2 + 0 + o**3 + 0*o + 1\/2*o**4 - 11\/60*o**5. Determine j(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53.44 + -54. Let y = n + 0.26. What is the nearest to 6 in -0.2, y, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2289686 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -65671*t - 2. Let i(d) = -d - 33. What is b(i(a))?\nAnswer: 65671*a + 2167141","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 555107 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1.64 times 314768\nAnswer: -516219.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-2)*(-34)\/969?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + -8. Let w(y) = -y - 1. Let n(c) = 2*c + 2. Let h(v) = z*w(v) - 6*n(v). Let a(p) = -14 - 2*p**2 - 14 + 22 - 7*p. What is -a(j) - 6*h(j)?\nAnswer: 2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3 - 184*l**2 + 1556*l + 3816.\nAnswer: -4*(l - 9)*(l + 2)*(l + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qt when two letters picked without replacement from qjgtj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64)*-3)\/(sqrt(8)*-2*1))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5573035*b**2*t**3 - 44377920*b**2*t**2 + b*t**3 + 2*t**3 wrt t?\nAnswer: -33438210*b**2 + 6*b + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -6*l**2 + 12*l - 2. Suppose -6*a + 1152 = -0*a. Let i be a\/(-160)*5\/2. Let p(c) = -2*c**2 + 4*c - 1. Calculate i*o(j) + 8*p(j).\nAnswer: 2*j**2 - 4*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1110*s**2 - 4*s + 1112*s**2 - 2218*s**2 + 4*s - 62*s**3 to m*s**2 + x*s**3 + a*s + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (690\/(-630) - (-3)\/7)*(-1 + 0). What is the second smallest value in 4, 3\/7, -1\/4, z, 5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.489 - 1.20481838525.\nAnswer: -1.69381838525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**4 - 22*c**3*d**3 - 2*c*d**3 + 13*c*d**2 wrt c?\nAnswer: 24*c**2 - 132*c*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*c - 2*t - 7, 12 = 4*c + 5*t. Let a(m) = m - 3. Let o be a(c). Suppose o = 6*l - 6. What is the closest to 2\/3 in l, 0, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.9856 + -6. Round x to 3 dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/4 of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8272 and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189 = -3*q - 153. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 0, 0.2, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 7:00 AM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 824.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/4 + 7*r\/2 + 15\/4.\nAnswer: -(r - 15)*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + d + 2*d = -54, -4*f + 108 = -3*d. Suppose -2*h + 4 = 0, -5*x - f = h - 4. Let k = 0 + -3. Put k, -1, x in decreasing order.\nAnswer: -1, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37343627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 12*l**2 - 7509*l - 73797. What is b(-75)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wsxi when four letters picked without replacement from boiosxssoswbob?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -4. Let j(c) = 4*c**3 - 3*c**2 - c. Let m(b) = -9*b**3 + 7*b**2 + 2*b. Let n(x) = -2*x**2 + 5*x - 2. Let p be n(3). Determine g*m(y) + p*j(y).\nAnswer: -2*y**3 + y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19459710767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 e when two letters picked without replacement from {h: 8, e: 6, c: 3}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 76.8978ug?\nAnswer: 0.0000000000768978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -1333*a + 1332*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -3, 5, -133.\nAnswer: -133, -3, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 598, 1223, 1744, 2155, 2450, 2623, 2668, 2579?\nAnswer: 2350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 745600*n**3 + 2*n**2 - 12*n + 10. Let d be v(5). Suppose 4*p = -0*p - d. What is p rounded to the nearest one million?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m + 1. Suppose -2*w + 2*g + 46 = 0, 0*w = -w - 2*g + 32. Suppose -w = -3*q + 3*b + 1, 4*b + 28 = 2*q. What is the tens digit of n(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = -4*i + 5*y, -2*y + 65 = 5*i - 10*i. Let p = i + 15. Suppose p*k = -20, 0 = -5*h - 6*k + 2*k + 155. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1632*j - 208 + 99 + 109)*(2*j + 2*j**2 - 2*j).\nAnswer: 3264*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of b**6\/10 + b**5\/5 - b**4\/6 - 2*b**3\/3 - b**2\/2 - 7*b. Find j such that h(j) = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -19*c**2 + 0 + 0*c**4 + 1\/5*c**5 + 2\/105*c**7 + 0*c**3 - 1\/6*c**6 + 0*c + 1\/84*c**8. Factor y(a).\nAnswer: 4*a**2*(a - 1)**2*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -k - 4*s - 21, 0 = k + 5*s + 19. Let b(u) = -u**2 - 5*u. Let f be b(-5). Let m be -1 + (-10)\/(-8) - f. Which is smaller: m or k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 10 - 2. Solve 3*a + 7 = 5*l, a = -3*a + 5*l - j for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-4)*i**(-5) assuming i is positive.\nAnswer: i**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -24*v + 3496. Calculate the greatest common divisor of v and 112.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/2 of a centimeter?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3391 - 2707?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1487 and 1.1.\nAnswer: -1635.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t + 9. Let s be y(-7). Suppose -3*j + s = -2*j. List the prime factors of j.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 4*d**2 - d - 3. What is g(5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 580\/202601?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1386*k + 1416*k = 9960. Calculate the highest common factor of k and 1411.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**2 + 18 + 22 + 20 - 60.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1529717.\nAnswer: 7, 218531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 10*t**2 - 9*t. Let v be f(7). Let z be 28\/35 + v\/(-130). What is the third biggest value in -0.2, -2\/17, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*f + 86 = 0, -2*f + 177 = -2*v + 349. What is the greatest common factor of 1548 and v?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3290724*d**4 + 4*d**2*m + 998*d + 70308*m wrt d.\nAnswer: 39488688*d**2 + 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + -1 + sqrt(204)\/sqrt(432))**2 + 0 + (sqrt(1088)*-2 - sqrt(1088))**2*3.\nAnswer: -25*sqrt(17)\/3 + 1068197\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10143179029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of p*u**2 - 110725800*p - 264912184*u**4 wrt u?\nAnswer: 2*p*u - 1059648736*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 - 50*y - 94. Let l be v(27). Solve -l*o - 54 = 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 5:26 PM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 599 + -359. Calculate the highest common divisor of f and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 60?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 641 + -639. Solve 2*b + s*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 5:45 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -363 divided by 1681.\nAnswer: -363\/1681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 413 and 26609.\nAnswer: 186263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 1. Suppose -4*v = -x + 158, -2*v - 150 - 284 = -l*x. Is x a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + 5)\/(-1 - 0). Let o be (1 - 1)*(-5)\/(-5). Let s = o - y. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204794527?\nAnswer: 7, 131, 223331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5784064860?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -240 + -5?\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 660\/297*(-3)\/(-4)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 71 + -68. Solve -u*y + 5 = -7 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n**3 - 36*n**3 - 24 - 34 + 95 - 39.\nAnswer: -30*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from lldddddddll?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(-1)\/9 + 385\/33. Let g(l) be the second derivative of 0 + l**3 - m*l + 19\/2*l**2. Differentiate g(r) with respect to r.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 240 and 89035.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 50479 or 50475?\nAnswer: 50479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -4 - -2 - 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 0*r - r - 4*r**2 + 2*r**2 + 3*r**2. Let f(v) = -v**3 - 2*v**2 + 2*v. Determine -f(p) - 2*t(p).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, n: 3, q: 8, s: 3}. Give prob of sequence znzs.\nAnswer: 3\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 637303*u**3 - 98*u**2 - 88034985*u - 2?\nAnswer: 3823818*u - 196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*b - 15*b + 12*b - 4*b**2 - 5*b**3 + 2*b**3 + 13*b**3 - 3*b**3 + (b + 0 + 0)*(0*b + 0*b + b**2).\nAnswer: 8*b**3 - 4*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 8:02 PM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 28264460.4 to the nearest 1000.\nAnswer: 28264000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 12*a**2 + 63*a - 101. List the prime factors of b(-16).\nAnswer: 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5*x + 11. Let s be a(7). Let g = s + 1147. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2517536216 a multiple of 842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18922, 29107, 46080, 69841, 100390, 137727?\nAnswer: 181852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 139 - -27985?\nAnswer: 27ac1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 126*x - 40*x + 130634. Is x at most as big as -1519?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9073.108 years in months?\nAnswer: 108877.296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -539 + -36a?\nAnswer: -8a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46738045?\nAnswer: 5, 9347609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -322, 2\/13, -634?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48 - 3*n**2 + 0*n**2 - 6*n**2 - 11*n**3 + 7*n**2 wrt n.\nAnswer: -33*n**2 - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**2 - 5*v**2 - 4*v**2. Let s(z) be the third derivative of z**4\/24 - 41*z**2 + 1. What is b(s(p))?\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, 144, 203, 260, 315, 368?\nAnswer: 419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.02 (b) -4\/5 (c) 0.3 (d) -0.3 (e) 0.37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(4\/9)\/t**5*(t\/(t\/(t**(-1)\/t*t*t)*t))**3)\/((t**(1\/3))**(-39))**16 assuming t is positive.\nAnswer: t**(1804\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -78*m + 30. Let b be u(3). Let k = -141 - b. What is the greatest common divisor of k and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 5*x + 10. List the prime factors of s(9).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2234\/9 + -248. What is the biggest value in -4\/13, 4, o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3 - 80\/24)\/((-1)\/99) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -551 (base 8) to base 12.\nAnswer: -261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40126186*g**3*l**2 - g**3*l + 1930*g**2 + 3*g*l**2 - g - l**2 + 51*l wrt g?\nAnswer: 240757116*l**2 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -231 (base 5) in base 4?\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 247 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 18*i**2 - 166*i + 771. What is g(8)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49256, 197036, 443342, 788174, 1231532?\nAnswer: 1773416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of -19 + 11403 - 4\/(24\/54)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, x: 3, o: 3}. Give prob of picking 2 v.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**3 - 4*b**2 - 2*b + 1. Let i be f(-2). Suppose 8 = -4*q + i*q. What is the remainder when 3 is divided by q\/5 - 4\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 2*q - 87 = -5*s, 0 = s - 4*q - 3. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -y - 0*y + 2*x, 0 = -4*y - 3*x + 145. Suppose o + 3*l - 33 = 0, 4*o - 22 = 2*l + y. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 780207.\nAnswer: 6241656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 2:14 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) - -2*(sqrt(12) + sqrt(3)) - sqrt(3) - (sqrt(12)*-3)**2 - (-3 + (sqrt(363) - (sqrt(363) + -1 - sqrt(363))) + sqrt(363)).\nAnswer: -106 - 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(4\/3)*p)*p**(-3\/10))\/(((((p*(p\/p**(-1\/9))\/p)\/p)\/p)\/p)\/((p\/p**(-7))\/p)) assuming p is positive.\nAnswer: p**(653\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3852 and 792.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 30 = -2*j. Let c be (-1 + 3 + 131)*1. Suppose 4*u - c = -d, 13 = u + 5*d - j. Does 34 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6135498 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4*k**2 - 42*k + 274. Calculate z(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1070 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 311547527 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 757 + 444. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -4*b - n + 715, 0 = -b + 3*n + 195. Suppose 14*l - 5*l + b = 0. Which is smaller: l or 2\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 84 - 64. Let d be b\/6 + 30\/45. Find the third derivative of -4*l**4 + 23*l**2 + 15*l**2 + 7*l**4 + 18*l**d wrt l.\nAnswer: 504*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5*u = 6. Solve d - 3*d - 2*l + 6 = 0, 0 = 3*d - l - u for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 9*f - 24. Calculate k(9).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -28*u**3 + 117*u**2 - 81*u - 59. Calculate b(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12 + 472\/(-28) + 13. What is the fourth smallest value in 0.5, n, -4, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s + 8. Let o be n(6). Suppose 2*k - 4*k = o. Suppose -3*c + 6*i + 3 = 2*i, -3*i = -9. Put c, 3, k in decreasing order.\nAnswer: c, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 164799.5 centimeters?\nAnswer: 1647995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a = -14*a + 75. Solve q = 8 - 3, -a = -y - 2*q for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 115627 and 1306727.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-560)\/(-105) - (128\/16 - 0).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5216270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ynny. Give prob of sequence yyn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i\/(i\/((i*i**8)\/i))*i)\/i*i**(-2\/27)*i)\/(i**1*i)**(-13) assuming i is positive.\nAnswer: i**(970\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -780 + 605. Let l be (-28)\/(-54)*(-150)\/c. Factor 4\/9*r - 8\/9 + 8\/9*r**2 - l*r**3.\nAnswer: -4*(r - 2)*(r - 1)*(r + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15504499 and 18488?\nAnswer: 124035992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -57*o**2 - 3*o - 5. Let u(j) = -170*j**2 - 8*j - 14. Suppose 723 = -193*f - 25*f - 23*f. Calculate f*u(m) + 8*i(m).\nAnswer: 54*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 5*f - 187 = 3*r - 63 + 66, -4*r - 172 = -f for r.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2020 = 10*x - 11*x. Round x to the nearest one hundred.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 15*w**2 - 17*w + 13. Is 5 a factor of u(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1246 + -883. Calculate the remainder when s is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12.5 + -14. Let f = -1.500144 - c. What is f rounded to 5 decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 875 and 6839?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 168293 = 91482. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 8313 = -5*i - 8340, -29 = 4*z + 5*i for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -1\/12*j**4 - 1\/6*j**3 + 2*j**2 + 33*j + 1\/20*j**5 + 0. Give s(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5982 = 4*k. Suppose -219 = 2*m - 4*r - k, -4*m - 4*r + 1592 = 0. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w - 13*w**2 - 15*w + 14*w. Let p(x) = 5*x. What is n(p(z))?\nAnswer: -325*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 23105 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -71, -161, -339, -635, -1079, -1701?\nAnswer: -2531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 408 = -2*x. Suppose 0 = 2*q - 4*q - x. Let r = 87 + q. Is r a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millennium in centuries?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-510)\/10)\/((306\/60)\/17)*(-7)\/35\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 951075814?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by 2035.\nAnswer: -23\/2035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**2 - 2*m. Let c be b(-1). Solve c = 5*h - 11 - 9 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**3 - 4*b**2 - 2. Let m be c(-3). Let z be (-320)\/30 + (-2)\/6. Let l = m - z. Calculate the greatest common divisor of l and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (32\/(-20) - -1)\/(9\/6). Sort 5\/3, d, 6 in ascending order.\nAnswer: d, 5\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/(-12) + 1285\/(-30).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 346*n = 341*n + 12330. Is 9 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkknknkbnbbkbnkkkk. What is prob of picking 3 b and 1 k?\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 4*q - 137, -5*v - 110 = -2*q - q. Solve -3*y + 5*m = m - q, 4*m + 20 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**3 + 2*v**2 + 3*v - 3. Let s be q(2). Let x be (-39)\/9 - (-1)\/((-1)\/s). Solve -2\/3*f - 4\/3 + x*f**2 = 0 for f.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 3*u**2 - 11*u - 26. Let v be t(-4). Let n be (v - -960) + 4 - 1. Let l = 1376 - n. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_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: What is prob of sequence ff when two letters picked without replacement from vvvffvvffvvvvf?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-438)\/(-27) - 8\/36. Let r be 31 - (w\/(-4) + 5). Suppose 2*d - 84 - r = 0. Does 14 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (26*b - 26*b + 14*b)*(3 - 2*b**3 - 3 + (b - b + b)*(-4 - b**2 + 4)) to the form t*b**3 + v + w*b + y*b**2 + s*b**4 and give s.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319791 is divided by 316.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c - 4. Suppose 0 = 4*r - 16, 0*o - 3*o - 5*r = -44. Let g be 2\/(-4)*0\/o. Calculate p(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - x**2 - 2*x - 1. Let d be h(-2). Suppose 0 = d*o - 8*o + 33. Find the second derivative of 101*b**4 - 101*b**4 - o*b - 27*b**5 wrt b.\nAnswer: -540*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 3:25 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of 0 + 0*k + 0*k**4 + 1\/30*k**5 - 4*k**2 - 1\/6*k**3. Find the first derivative of x(j) wrt j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/2)\/((-10)\/(-15)). Suppose -l = w*l - 8. Let x(g) = 0*g**2 - 2*g**l - g**2. Let q(c) = -2*c**2. What is x(q(a))?\nAnswer: -12*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25081?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x**2 - 2*x + 2*x)*(-706 + 1412 - 234*x - 708 + 651*x) in the form z*x + k*x**3 + s + w*x**2 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - x, -3*x = -5*x + 10. Let u(q) = q**2 + q - 6. Let f be u(11). Let o = 628\/5 - f. Which is the second biggest value? (a) o (b) p (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 495 and 955317?\nAnswer: 14329755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*-1*(-1416)\/5664?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -56 + 58. Let d = c - -2. Let v(n) be the second derivative of -n**4\/12 + n**3\/3 - 2*n**2 + 20*n. Calculate v(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5673391 years in centuries?\nAnswer: 0.005673391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 13) to base 2\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 t when four letters picked without replacement from twamwmawwawtwmum?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 47418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*w + 18 = x, 4*x - 5*w - 44 = 0. What is the greatest common factor of 4 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v + 5*p - 6 + 31, p = -2*v - 6 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.156 - 1.844. Let z(u) = u**3 + 8*u**2 + 4*u - 6. Let y be z(-7). Which is smaller: i or y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - 1008\/(-171) - -11?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -535 = -136*u - 2439 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 149 - 151 - 35*q)*(-4 + 4 - 1)*(-4 + 2 + 1).\nAnswer: -32*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 4*w. Let d be (3 + -4 + 0)\/((-6)\/(-12)). What is c(d)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.9740357 to three decimal places.\nAnswer: 17.974","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**2*x)\/x)\/(x**(2\/9)\/x))\/(x**(-1))**(-11\/3) assuming x is positive.\nAnswer: x**(-8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18571 is divided by 177?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -730, 396, 4 in increasing order.\nAnswer: -730, 4, 396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(425) - (sqrt(425) + 1))*3)**2 + 4 + 5.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-6)*v*v**(-2\/55)*((v**(-11)\/v)\/v)\/v*(v*(v\/v**(-5\/12))\/v*v)\/v assuming v is positive.\nAnswer: v**(-10969\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of 2*j**5\/5 + 8*j**3\/3 - 5. Find the third derivative of q(c) wrt c.\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -o**4\/6 + 41*o**3\/6 + 24*o**2 + o. Calculate the remainder when s(8) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 1259*y**2 - 22*y + 25. Let h(d) = 1259*d**2 - 17*d + 18. Let k(o) = 9*g(o) - 12*h(o). Find the second derivative of k(p) wrt p.\nAnswer: -7554","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -177853203\/2 or -88926601?\nAnswer: -88926601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 157, -107, 199 in decreasing order.\nAnswer: 199, 157, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 5:53 PM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -q**4\/4 + 8*q**3\/3 - 4*q**2 + 10*q - 4. Let m be c(7). What is m rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1759342372 to the nearest 1000000.\nAnswer: -1759000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 9*u. Let j(h) = -13782034*h. What is j(z(v))?\nAnswer: -124038306*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -2)\/(-2)*(-470 + 508).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9 + -12 + (1 - 1). Let p be (-2 - 1\/(-1)) + 3. What is the units digit of t + (-4)\/(p - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/114960 and 91\/86220.\nAnswer: 344880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 85*b. Let l(d) = 14098*d**2 + 14100*d**2 - 28208*d**2. Calculate m(l(n)).\nAnswer: -100*n**4 - 850*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*c + 323 - 179. Let x = 12 + 59. Suppose -5*d + w = -255, 4*d + 2*w - 147 = x. What is the remainder when d is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7642237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 112141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**2\/6 - 16703419*p\/2 = 0.\nAnswer: -50110257, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - (-2 - 1 - 2). Let s(y) be the third derivative of -y**5\/60 + y**4\/8 - y**3\/3 + 7*y**2. Calculate s(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 1204?\nAnswer: -1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen fifths of a decade?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 180 - 179. Suppose 29 = 4*k + r, -4*k + 5 = -3*k - 2*r. Let i = k + -4. What is the greatest common divisor of l and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of 0 + 0*w**6 + 0*w - w**2 + 1\/6*w**3 + 0*w**5 + 0*w**4 + 1\/210*w**7. Find the first derivative of l(h) wrt h.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -m**6\/120 + m**5\/30 + m**4\/6 - m**3\/6 - 79*m**2\/2 - 10*m. Let k(s) be the first derivative of f(s). Determine k(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -23\/2*k**3 + 0 - 25*k**2 + 1\/2*k**4 + 0*k.\nAnswer: k**2*(k - 25)*(k + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4 + 7 = m, -5*f - m = -17. What is the least common multiple of f and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 641, -12, 0, 1\/14, 0.2?\nAnswer: 641","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4046909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 15 = 83. What is the remainder when (-43000)\/(-160) + ((-1)\/(-10))\/((-4)\/(-10)) is divided by r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**8)*w*w*w*w**5)\/(w**(-1\/2)*w)**39 assuming w is positive.\nAnswer: w**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, u: 5, z: 4}. What is prob of picking 2 t and 2 u?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -214*l**2 - 22*l**2 - 73*l**2 in the form f + y*l + p*l**2 and give p.\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.08 minus 0.04396?\nAnswer: -2.12396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21171 + -12616. Let g = -855 + v. What is g rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -553*s**5 - 308*s wrt s.\nAnswer: -11060*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11613323.\nAnswer: 11613323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12338, -24342, -36346, -48350, -60354?\nAnswer: -72358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149267817 is divided by 8171.\nAnswer: 8160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 152\/36 - 4. Suppose 34 = 3*n + 2*u, 2*n - 2*u - 6 = -0*n. Let z = 15\/2 - n. What is the nearest to 1\/3 in h, -1, z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s + 2. Let j be a(0). Suppose v - 3 = 0, j*q - v - 4 - 41 = 0. Suppose 0 = -5*b + b + q. Calculate the least common multiple of b and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**3 - 31*r**2 - 13*r + 416. Let i be o(15). Let c = 4 - -9. Put i, c, 3 in descending order.\nAnswer: c, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 356193?\nAnswer: 3, 19, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 819.36189544 - 154.36196134. Let j = y + -665. Round j to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10380 is divided by 1501.\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 57946, 231800, 521564, 927244, 1448846, 2086376?\n\"Answer: o**3 + 57949*o**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14468, -14349, -14064, -13529, -12660?\nAnswer: -11373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 970 and 1427620.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.03 + 0.29. Let t = w - -0.04. Let p = t + -0.1. What is the closest to -1 in -0.4, -0.5, p?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-350)\/525 + (52870\/(-6))\/5*-5.\nAnswer: 3, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56 by 594.\nAnswer: 28\/297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1737*l + 2*l**2 - 1737*l.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 - 10088745*h - 10088740.\nAnswer: -5*(h + 1)*(h + 2017748)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzjz when four letters picked without replacement from jzzz?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 447902.52 rounded to the nearest 10000?\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*i*q**4 - 25*i*q**3 + i*q**2 + 5*i*q + 230*i + 2*q wrt q?\nAnswer: 84*i*q**2 - 150*i*q + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -0.5, 1\/6, -197\/4 in descending order.\nAnswer: 1\/4, 1\/6, -0.5, -197\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-81) + 32\/63.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*-4)\/(16\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -13, 3, -178?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 966\/(-345) + 2\/(-10) + 0 - -4397 and 2704.\nAnswer: 35152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -706397\/80 - -8830. Let l(g) be the third derivative of -1\/280*g**7 + 5*g**2 + 0*g - s*g**5 - 1\/40*g**6 + 0*g**3 + 0 + 0*g**4. Factor l(f).\nAnswer: -3*f**2*(f + 1)*(f + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 214364 + 110005 = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3 + 1 = 0. Let d be (-5)\/x + 1 - -2. Let w be (3 + (-55)\/15)*2*-3. Sort w, d, 2 in decreasing order.\nAnswer: w, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-91)\/21)\/((-2)\/6) + 1094522\/(-83850)?\nAnswer: -4\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 62*h + 64*h = 37488, 0 = m + 5*h - 9399. What are the prime factors of m?\nAnswer: 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from unkkknnnunnquk. Give prob of picking 4 k.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0612235184 rounded to three dps?\nAnswer: -0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p - 4*p + 0*p)*(0 - 6268*p - 9737*p + 0 - 511*p - 1727*p).\nAnswer: -18243*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2. Let x(s) = -s**2 + 23*s. Determine 2*m(w) - x(w).\nAnswer: -w**2 - 23*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of z**4\/6 - z**3\/3 - 3*z. Factor i(h).\nAnswer: 2*h*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 2*b**2 + 3 + 2 to the form n + j*b + w*b**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2*c - 13, 10*c + 8 = 2*x + 8*c. What is the nearest to -13 in x, -5, 2\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**4 - 1 + 4*f**4 - 4*f**4 - f**3 + f**3 - f**4 + (2*f - f**2 - 2*f)*(-f - 3*f**2 + f).\nAnswer: -f**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17\/135 - -8167\/540. Let r = -10739 - -150431\/14. Calculate the common denominator of s and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/7 - (-1 - -5). Let h(y) = -y**2 - 8*y - 5. What is the units digit of h(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3 - 2 + 10 - 7 + y. What is the remainder when 5 is divided by n(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -35207 or -35208?\nAnswer: -35207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 889 + 320. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 30*u**2 + 2*u + 65. Let c be a(-30). Solve 0 = 5*n - 15, -6 = -4*o - n + c for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 844, 839, 832, 823, 812, 799, 784?\nAnswer: 767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 1402, -4, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 3*q + 5*l - 8144 = 0, -5*l - 10 = 0. What is the highest common divisor of 36 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102430 rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 + 82?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 490950661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 518\/740*(-45)\/63. Let j = -26 - -43. Put j, z, 5 in decreasing order.\nAnswer: j, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 3) + (-2860)\/((-25)\/5). Suppose 3*v - 432 = 6*g - 3*g, -2*g + n = 4*v. Which is greater: v or 285\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -1*(-5 + 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 3, 1.5, 213, -1, -0.3, -4\/3, 9?\nAnswer: 213","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121046*n**2 - 31058*n**2 - 31066*n**2 - 31059*n**2 - 27866*n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(121)*-1)\/(sqrt(44)\/sqrt(4)*-4).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1 - 25*s**2 - 89*s**2 + 30*s**2 + 6*s**3 + 30*s**2.\nAnswer: 6*s**3 - 54*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -11993.489 rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.5 or 76.81?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -52*l - 304. Let v be k(-10). Which is greater: v or 217?\nAnswer: 217","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -530, -1, -3, 0, -7, -2, -419 in decreasing order.\nAnswer: 0, -1, -2, -3, -7, -419, -530","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1936 and 65824.\nAnswer: 65824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 64\/9 + -35*1\/5. Let y(c) be the first derivative of 0*c - d*c**4 - 2\/45*c**5 - 31 + 2\/27*c**3 + 2\/9*c**2. Determine s, given that y(s) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 286 - 1759. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1336 + 1314. Let i(k) = -4*k**3 + 2*k**2 + 3*k - 3. Let r be i(2). Is g at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 38355 and 38349 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = 46*h - 228. Solve 0 = h*g + 4, 0*t - 2*g + 3 = -5*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-20)\/60*1\/3.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 54\/7*c**2 + 24\/7 - 60\/7*c - 3*c**3 + 3\/7*c**4 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 13*a + 301. Give j(0).\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 222?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1))**(15\/4)\/(y\/((y**3*y)\/y)*y)**(5\/4) assuming y is positive.\nAnswer: y**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 30\/7 in 2.16, 10\/9, -150?\nAnswer: 2.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 10. Let j = 688.627 + -689. Let s = -5.627 + j. Which is the smallest value? (a) -0.1 (b) 2\/7 (c) s (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 474 divided by 1.\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 31 = -2*z, 4*z + 0*z = 12. Suppose -46 = -y*w + 14. Let t(b) = 2*b**2 + 11*b + 23. Let x be t(-3). What is the highest common factor of w and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37878, -12, -2, 8 in increasing order.\nAnswer: -37878, -12, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 18145545 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 6:18 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/4)\/(549\/(-29288418)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1405616?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.051685135 rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.11 - 7.89. Let p = t + 7.8. Which is the smallest value? (a) 3 (b) p (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2448 = -2*x + 2016. Let i be ((-2)\/(-6))\/(6\/x). Suppose 4*s - 8*s + i = 0. What are the prime factors of s?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 8:40 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.387 + -3.187. Sort -2, o, -4.3, 1 in decreasing order.\nAnswer: 1, o, -2, -4.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, q: 4, a: 6}. What is prob of picking 3 a?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*z - 12. Let i(l) = 4*l**2 - 221*l + 1550. Let n be i(47). Put z, -4, 14, n in decreasing order.\nAnswer: 14, z, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a = -13*a + 28 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -8199\/80965 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cm when two letters picked without replacement from iicmeiciiceci.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3)*(3*w + 3*w + w).\nAnswer: 21*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -0.559.\nAnswer: 0.1118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 464444 (base 12) in base 14?\nAnswer: 214b64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -393 - 461 - 5*x + 1289 - 435.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 961738482?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -91891\/7 + 13127. What is the fifth biggest value in 5, f, 0.3, 2\/7, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-3 + 4 + -5 - -6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 2\/3 (c) -8 (d) -2\/19 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 359*t - 2976. Let h be s(9). Is h smaller than 236?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 864\/5 - 15247\/90. What is the common denominator of f and 127*(3 + (-796)\/264)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b - 2. Let l be n(-4). What is the tens digit of (8456\/16 - -1) + (-1)\/l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p + 20. Let z(h) = -h**3 + 5*h**2 - 5*h + 10. Let w be z(4). Let f be v(w). Let t = f + 10. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-46)\/8)\/((-2)\/(-8)). Let c = -21 - x. Suppose -d - s - 4 = -19, c*d = s + 39. Is d a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.6 + -5.631. Let d = -0.3835 - -0.41512. Let p = a + d. What is p rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, -42, -18, 142, -11, 0 in decreasing order.\nAnswer: 142, 0, -3, -6, -11, -18, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3273919511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Is 37548 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1925*h**6 + 2*h**2 - 7 wrt h.\nAnswer: -231000*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3\/4 + 1095*c**2\/4 + 14850*c - 15125.\nAnswer: 5*(c - 1)*(c + 110)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0805 to three decimal places.\nAnswer: -0.081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(9\/10)\/k**(-20) assuming k is positive.\nAnswer: k**(209\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 + 0*s**2 + 0*s**2)*(-33*s**2 + 71*s**2 - s**3 - 1 - 2*s**3).\nAnswer: -6*s**5 + 76*s**4 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -bfa (base 16) to base 6\nAnswer: -22110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-114)\/(-380))\/(4\/(-10))*40\/2. Let r be 2\/(-6)*8\/20. What is the third smallest value in r, 0.5, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 14) to base 5.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5\/4 + 39\/28. Let v = 672 - 244. Let k = v - 423. What is the second smallest value in 1\/8, p, k, 0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/3 + (-18 - -5). Let k = j - -16. Solve -7 = -k*z - 32 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - 3*o - 4*o)*(7*o - 2*o - 2*o) + (3901 + 542*o**2 - 3901)*(3 + 1 + 2).\nAnswer: 3246*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 13 = -0*y + 3*z, 40 = -5*y - 5*z. Let w = -9 - y. Solve k = -w - 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1298 = -1930*w - 83133 - 5015 for w.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 326985883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -16*q - 56. Let d be z(-11). What is the highest common factor of 456 and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 39 + (47\/(-8) - 16\/1152*9). What is the highest common factor of 5379 and c?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -k - 3*l, 5*l + 79 = 2*k - 58. Let t = -66 + k. Is ((-12)\/(-30) - 9238\/t) + -1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*z**2 + 0)*(-185*z + 103*z + 102*z) - z**3 + 2*z**3 + 0*z**3.\nAnswer: -39*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -29.888 * -1233\nAnswer: 36851.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 284565 to the power of 1\/2, to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 9.878496 meters?\nAnswer: 0.009878496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 1:31 AM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-3\/7)\/c)\/(c*c**(4\/3)))\/(((c**(-2\/13)\/c)\/c)\/(c*c**(-10))))**(1\/3) assuming c is positive.\nAnswer: c**(-2896\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 4)*(4 - 4 - 2*v) + (2 + 12 + 20)*(-6 + 5 + 0)*(-4*v + 3*v + 5*v).\nAnswer: -138*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 13*c - 7*c + 16*c + 6 = 0, 0 = 4*a + 4*c + 36 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23.9 + -23.90112. Round s to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -133.9863 and -11464.2.\nAnswer: -11598.1863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 2:37 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00031716004 to 5 dps.\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 8)*(7 + 5*x**2 - 7) + 33*x - 16*x - 15*x + 8*x**2.\nAnswer: -37*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -1944*i - 33021. Calculate l(-17).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 989 and 1290009073?\nAnswer: 989","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -12. Let v(a) = 2*a**2 - 2*a**3 - a + 5*a**3 + 2*a. Calculate v(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 18*l + 21. Let p be d(15). Suppose p*h = 57*h + 1458. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5 + 4*(sqrt(153)*-2*-2 + sqrt(153)) + 0)**2*-2.\nAnswer: -122452 + 1200*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 5, -9 in increasing order.\nAnswer: -9, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1094, 5, 3592, 0.5, 0.1 in descending order.\nAnswer: 3592, 1094, 5, 0.5, 0.4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-110 + 110 - 7*u**3)*(6 + 0*u - 5*u - 4).\nAnswer: 35*u**4 - 14*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + 56\/(-6))*33\/(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 o when three letters picked without replacement from njornrrllnrrlr.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -184, 9, -4, 8, 2 in descending order.\nAnswer: 9, 8, 2, -4, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3)\/a)**(4\/7)\/(a**(8\/7))**23 assuming a is positive.\nAnswer: a**(-200\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1539.711 and 3.\nAnswer: 4619.133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 2\/1053109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1\/3))**(-48)*(c\/(c\/c**(3\/5)))\/c**(2\/3))**4 assuming c is positive.\nAnswer: c**(-1924\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-132)*(-4)\/(-5)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298276614.\nAnswer: 2, 3, 5523641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*q + 66*q + 2 + 31*q - 4 - 26*q to v + h*q and give h.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57*w**2 + 1854*w - 1854*w)*(7 - 14*w**2 - 7).\nAnswer: 798*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 621 + 694 = 5*y. Suppose o + 2*g - 103 = 0, -g + 263 = 4*o - 114. Suppose -o = 5*i - y. List the prime factors of i.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -21 + 6 + 10 + 6. Suppose 2*o + 4*h = 8, -5*o - h - 8 = -2*o. Let v(p) = -3*p + 4. Calculate o*z(k) + v(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176319444.\nAnswer: 2, 3, 7, 17, 31, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/4 of a centimeter?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*o = 21*o + 364 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -82\/2385 and -1\/5300?\nAnswer: 47700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 9*c - 4. Let w be l(-9). Let k = w + 7. Let v(p) be the second derivative of -p**3\/6 + 4*p. Give v(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 138\/(-30)*1 + 4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5 + -1*sqrt(11).\nAnswer: -sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.8 and -867?\nAnswer: 2427.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 174868691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*p + 5*q + 26, -3*p + 6 = -3*q. Sort -14, p, -1 in increasing order.\nAnswer: -14, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -90 + 112. Let k = 0 - 0. Let g = k + l. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/3 + 6)\/12?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-430)\/129) + (8 + -9)*6\/(-2).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**3 + 3*i**2 - 8 + 8)*(-9*i**2 - 32 + 32).\nAnswer: -18*i**5 - 27*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4443, -4443, -4441, -4437, -4431, -4423, -4413?\nAnswer: -4401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q + 475*q**4 + 2 + 2*q**2 + 613*q**4 - 891*q**4 to the form t*q**4 + r*q**2 + m + n*q**3 + u*q and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -806, -1597, -2374, -3131, -3862, -4561, -5222?\n\"Answer: b**3 + b**2 - 801*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*((-18)\/(-3))\/(-18).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s. Let r(d) = -507*d**2. Determine r(i(u)).\nAnswer: -507*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4076.073631575 + 8.\nAnswer: -4068.073631575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x**2 + 10*x - 2. Let v be k(-4). Suppose -v*n = -n - 440. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 700 and 1200.\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**2\/4 - 1557*o = 0. What is o?\nAnswer: 0, 2076","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.13*-19.\nAnswer: 2.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65 - -68. Is 0\/4 + 3351\/k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315670784 to the power of 1\/3, to the nearest integer?\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 134 + -139. Put -57, 12, -2, a in descending order.\nAnswer: 12, -2, a, -57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/3 (b) 2\/11 (c) -888 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -861 + 2591*n**2 - 3 - 273 - 1149 - 984 wrt n.\nAnswer: 5182*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60460063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - z + 60 = 0. Let h be 2\/(-5) - (-74)\/10. Suppose 3*n - 11 = h. What is the least common multiple of n and z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002375 to five decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15.07 - 83.17. Let t = -68 - q. Let b be (18\/4)\/(-4 + 1). What is the third smallest value in t, -2\/3, b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/((-1950)\/(-24))*((-45)\/10)\/(-9)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**3\/3 - 816842*m**2\/3 - 12252871*m\/3 + 13069712\/3 = 0.\nAnswer: -16, 1, 816857","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91650.5 nanometers to kilometers.\nAnswer: 0.0000000916505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -43717637.4 from -45994.\nAnswer: 43671643.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 205683817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m - 14. Let c(i) = 4*i - 14. Give -5*c(o) + 6*g(o).\nAnswer: -2*o - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3\/5 + 1458912*z**2\/5 + 5835584*z\/5.\nAnswer: 4*z*(z + 4)*(z + 364724)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -40*n**2 + 4*n + 25. Give h(-3).\nAnswer: -347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1132127 to the nearest integer?\nAnswer: 1064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 99\/132*156\/130*860\/(-18)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4*g + 16 = 0, 2*g - 7 + 15 = -3*h. Solve h = -4*y + 47 - 35 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = r + 5*g, 0 = -3*r - 5*g + 11 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2 + 4*x - 24. Let n(p) = -2*p**2 - 5*p + 25. Give 4*n(s) + 5*q(s).\nAnswer: 2*s**2 - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jp when two letters picked without replacement from pppppjppppppppp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 0*c**2 + 0*c**4 + 0*c**6 + 0*c**5 - c**3 - 1 - 1\/7*c**7 + 0*c. What is the third derivative of o(f) wrt f?\nAnswer: -120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-20)*12\/18*(-128)\/1216\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 2*h - 124, -4*k - k - h = -202. Suppose -5*r + k = -5. Let b(q) = -q**2 - 9*q - 7. Let t be b(-7). Solve x + t = -2*c, -c = 3*x + 2 + r for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*w**3 + 5*w**3 - 2*w**3)*(-15*w - 9 + 9) as q*w + o*w**2 + d*w**4 + p*w**3 + z and give d.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15 - 2\/(4\/(-6)). Suppose 13*v = 16*v - u. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 497*l - 96. Let g(b) = 495*b - 100. Let j(k) = -7*g(k) + 6*z(k). Differentiate j(y) with respect to y.\nAnswer: -483","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 3*c + 3. Let i = 3 - -5. Let v(s) = 11*s**2 - 4*s - 4. Let y(a) = 7*a**2 - 3*a - 3. Let r(z) = i*y(z) - 5*v(z). Give -5*n(o) - 4*r(o).\nAnswer: o**2 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.5 + -1.3. Suppose 81*q + 312 = 239*q - 162. What is the third smallest value in -14.8, v, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 3. Is c < 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a - 23. Let f be d(9). Let n be 6\/((f\/(-16))\/((-1)\/(-4))). Let r(y) = y**3 + 7*y**2 - 13*y + 10. What are the prime factors of r(n)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -318.23 + 107?\nAnswer: -211.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 2:38 AM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282*h + 303*h = 231. Suppose -594 - 594 = -3*v. Suppose -v = -5*o + o. Calculate the greatest common factor of h and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j**2 - 1. Let n be m(1). Which is the third smallest value? (a) 3 (b) 0 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -167 + -1346?\nAnswer: -1513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p + 3*p + 0*p)*(2*p - p + 2*p)*(-1 - 4 + 3)*(-13*p**2 - p + 9*p**2 + 3*p) to the form c*p**3 + u + h*p**4 + m*p**2 + z*p and give h.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 3*q. Let w be f(3). Let y = w + 2. Suppose 54 - 2 = y*u. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3066035 (base 7) to base 16.\nAnswer: 5a31d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c + 1. List the prime factors of s(-19).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -196*x + 198*x - 10, 0 = -x + 3*w + 13 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -5*n - 8. Let l be (-1235)\/(-171) + (-2)\/9. Does l = n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 12*x**2 - 12*x - 13. Let k be q(13). Let t(p) = -2*p + 163. Is t(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-102806)\/(-6930) - 15) + (-4)\/(-18).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 415955?\nAnswer: 5, 23, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 119*h**5\/90 + 472*h**4\/27 - 76*h**3\/27 - 32*h**2\/3 - 1281*h. Let j(o) = 0. Calculate o.\nAnswer: -8, -2\/7, 6\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 48 or -6?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2. Let b(z) = 22*z - 3. Let u(p) be the second derivative of -23*p**3\/6 + 2*p**2 + 15*p. Let n(l) = 4*b(l) + 3*u(l). Give t(n(k)).\nAnswer: -361*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m**3 + 4*m**2 + 4*m + 2. Suppose -2 = 56*d - 34 - 24. Let g(p) = -p**3 - p. What is d*h(o) + 4*g(o)?\nAnswer: -7*o**3 + 4*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**(1\/3))*i**(-13))\/(i**(-8)\/(i\/(i**(-5\/3)*i))) assuming i is positive.\nAnswer: i**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in minutes?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 185 - 168. Calculate the greatest common divisor of 136 and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4085320501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mhh when three letters picked without replacement from {h: 15, m: 4}?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -347 - 5867?\nAnswer: -5bb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmkp when four letters picked without replacement from {m: 4, p: 4, k: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 75.98 bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/((2 - 620\/(-608)) + -3).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 i, and 1 r when four letters picked without replacement from {i: 3, h: 1, d: 1, r: 3, a: 8, c: 2}?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2006, 3785, 5566, 7349, 9134, 10921, 12710?\nAnswer: 14501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 5 - -2 - 12?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1264 - -2015. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 21161.9142 seconds?\nAnswer: 0.0349899375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-29 - 0)) + -49\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mhmpjffpfphqmhf. What is prob of sequence hmfh?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of 5*w**4\/2 - 8*w**3\/3 - 448*w**2. Let m(b) = -20*b + 5. Determine -10*m(a) - 3*o(a).\nAnswer: 20*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 177*p**5\/20 - p**4\/4 + p**3\/6 + p**2\/2 + 64*p. Let n be c(1). Calculate the highest common factor of n and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 2*k**2 + 0*k)*(-1 - 3 + 2) + 497*k**2 - 1909*k**2 - 5171*k**2 - 8567*k**2.\nAnswer: -15146*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 12*p**2 - 3*p - 28. What is the remainder when 28 is divided by b(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (4 + 1 - 9)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31707a3 (base 11) to base 5.\nAnswer: 2412013211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/(36\/6) + (-156)\/(-18).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**4 - 9*n**3 - 42*n**2 + 144*n - 96 = 0. Calculate n.\nAnswer: -4, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -c039d (base 16) in base 7?\nAnswer: -6456334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqa when three letters picked without replacement from {q: 5, a: 3, d: 1, n: 5, y: 4}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - u = 1291, 2*a = -0*u + 3*u + 849. What is the greatest common factor of a and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 - 182 - 747 = 76*n for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 271 - 269. Let l be 0*h\/(-4)*1. Solve 4*r = j + 12, l*r + 3*j + 9 = 3*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*c + 10 = 0. Let p(j) = 80000*j**2 - 2*j - 1. Let y be p(c). Let b be y - (-6 - 3)\/(-3). What is b rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 40 + 9*r + 0*r**2 - 53 - r**2 - 94 - 57*r. Let n be t(-32). What is n rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 3319.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - w + 1. Let s(m) = 7*m**2 - 3*m + 4. Calculate -5*j(k) + s(k).\nAnswer: 2*k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**3 + 19*q**2 + 4. Let r(n) = n**3 + n - 3. Let i(l) = -6*l**3 - 10*l**2 - 5*l + 13. Let t(p) = -i(p) - 5*r(p). What is -6*s(v) + 11*t(v)?\nAnswer: -v**3 - 4*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m. Let w(c) = 56*c - 56*c - 18*c**2. Let v(d) = -9*d**2. Let s(k) = -15*v(k) + 6*w(k). What is s(o(u))?\nAnswer: 108*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16567763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 24177, 48274, 72371, 96468, 120565, 144662?\n\"Answer: 24097*g + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 31.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 75092*g + 150173. Determine a(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/4 and (-100)\/21975*(-1275)\/(-40)?\nAnswer: 1172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 801161039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let -j**4\/5 - 8*j**3 + 197*j**2 - 676*j + 2436\/5 = 0. Calculate j.\nAnswer: -58, 1, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91 and 47047?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-4))\/((-15)\/(-20)). Let k be 3 - (-8 - (-2)\/i). What is the tens digit of (6\/k)\/((-3)\/(-135))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1193*o - 760*o + 1137*o + 1510*o - 692*o)*(0*o**4 + 4*o**4 - 2*o**4).\nAnswer: 4776*o**5 - 6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**3 - 7*o**2 - 2*o + 8 = 0. Calculate o.\nAnswer: -1, 4\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ee8cc (base 15) in base 6?\nAnswer: 24125120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70273 = 2585*x - 2578*x. What is the hundreds digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 14*q**2 - 2. Let m = 103 + -89. What is h(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 16 = 131*k - 130*k, 5*o + 22 = -2*k. Sort 5, o, 1270, 3 in increasing order.\nAnswer: o, 3, 5, 1270","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/4 of a meter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-4 + 5 + 1)) + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o + o**2 - 3 - 2*o**2 - o - 6*o. Let w be v(-3). Let q = w - 5. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -4*p - 20*p**2 + 5*p**3 - p + 12 + 6 + 2 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5*1 - (-12)\/48*0. Let m(k) = -9*k**2 + k. Let c be m(1). Let q(n) = -n - 6. Let x be q(c). Put -1, x, v in increasing order.\nAnswer: v, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 + 16*f**2 + 33*f + 14.\nAnswer: -(f - 7)*(f + 1)*(3*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 = 6*t + 85. Let b = t + 31. Put b, -4, -6, 1 in ascending order.\nAnswer: -6, -4, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -391, -812, -1275, -1774, -2303, -2856, -3427?\nAnswer: -4010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2474, -2493, -2512, -2531, -2550, -2569?\n\"Answer: -19*t - 2455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, b: 5, e: 1, z: 5, k: 5}. Give prob of picking 1 e and 1 o.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-75)*15\/9*-2?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 6 + -5 + -1 - 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 331806259360 take away -113?\nAnswer: 331806259473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -244*q**4 - 7*q - 25*q - 655*q**3 + 240*q**4 + 675*q**3 - 8*q**2.\nAnswer: -4*q*(q - 4)*(q - 2)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -86 + 156. List the prime factors of b.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/28*(-9)\/(216\/(-28)). Which is the nearest to 0? (a) m (b) 2\/19 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 428*g**2 + 47*g + 30*g + 3 + 527*g**2 + 110*g + 34*g wrt g.\nAnswer: 1910","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 3. Let q be 4\/46 + 5 + 195812\/(-38502). Let p = q - 841\/3348. Which is the second biggest value? (a) -2\/13 (b) 0 (c) f (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33198 and 198.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**2 + 0 + 0 + 67*n**2 + 21*n**2 + 8*n**2 + (0*n + 2*n - n)*(3*n + 0*n + n).\nAnswer: 101*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -6414 (c) 1\/6 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - 26. Solve l = 5 - z for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000035298 rounded to six decimal places?\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 48594, 97173, 145750, 194325?\n\"Answer: -o**2 + 48582*o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -28 - 5\/2*s**2 + 7*s + 0*s**3 + 5\/4*s**4. Is l(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight thirds of a century in months?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 10*n**2 - 16*n + 1. Let k be r(-8). Let t be (-9 - -10)*(1 - k). Suppose t = 5*f + 2*f - 2954. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 75b7c + -23d?\nAnswer: 7593d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from epsge. Give prob of picking 1 s and 1 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2333 (base 6) in base 8?\nAnswer: -1061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/79, -1, -9.1 in descending order.\nAnswer: 3\/79, -1, -9.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((((a\/a**(1\/4))\/a*a*a)\/a*a)\/a))\/(a\/(a*a**3*a))*(a**(2\/7))**(-3\/7))**43 assuming a is positive.\nAnswer: a**(34787\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 10290824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.83 smaller than -43758?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 3*i - 16, -i - 71*o - 4 = -69*o for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38430, -306915, -1035668, -2454825, -4794522, -8284895, -13156080, -19638213?\nAnswer: -27961430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sfoo when four letters picked without replacement from osfoffffffsf.\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/6*(-2)\/2. What is the remainder when 46 is divided by (-1)\/(3\/(-21) - j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -20, -26, -30, -26, -8, 30, 94?\n\"Answer: c**3 - 5*c**2 + 2*c - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 154545972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5 = -t, t = 3*j - t - 10. Let z(r) = r**2 + 5. Give z(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13050 - 13050. Let o(h) be the second derivative of -17\/6*h**4 - 17\/2*h**2 + 8*h + j*h**3 + 0. What is the first derivative of o(c) wrt c?\nAnswer: -68*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267515 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 541 is divided by 180.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -1\/1680*h**8 + 0*h - 13\/300*h**5 + 0 - 1\/40*h**6 - 214*h**2 - 1\/30*h**4 + 0*h**3 - 1\/150*h**7. Factor c(w).\nAnswer: -w*(w + 1)**3*(w + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s\/s**0*s)**(-4))**23 assuming s is positive.\nAnswer: s**(-368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 610 + -372. Suppose -j*p + 246*p = 248. Solve -16 = -5*f - p for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 17*p**2 - 29*p - 130. List the prime factors of w(-20).\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1520 divided by 148?\nAnswer: 380\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccyccycyycyyyycy. What is prob of picking 2 y?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 930*x**2 - 4*x + 4. Let j be v(-4). Let z = j - -12100. What is z rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -d**5\/270 + d**4\/27 - 13*d**2\/2 - 27*d. Let s(c) be the first derivative of g(c). Factor s(j).\nAnswer: -2*j*(j - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.54564ns in microseconds?\nAnswer: 0.08754564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 4)*(d + 3*d - 3*d + (4*d - 2*d + 0*d)*(1 + 1 - 1)) + (4*d - d - 4*d)*(-1 + 0 + 0) + 3*d + 2 - 2.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -3*z**4\/4 + 3*z**2 - 579. Let r(k) be the third derivative of -k**6\/60 + k**4\/8 + 11*k**2. Determine 5*r(w) - 3*v(w).\nAnswer: -w**3 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 90 (base 12) to base 10\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + (-24)\/(-16))\/(-2)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -180*v**2 + 146*v**2 - 2*v**3 + 2*v**3 + 21*v**6 wrt v?\nAnswer: 2520*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c*s**4 - 39*c*s**3 - 14*c*s**2 + 58*c*s - 276*s**4 - 5*s**3 + 19 wrt s.\nAnswer: -24*c*s - 234*c - 6624*s - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 17000085 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3075721390 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -10743.16345 to the nearest 10.\nAnswer: -10740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3995207678 to the nearest integer?\nAnswer: 63208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -36*3*(-2)\/9. Suppose -q + b = q. Calculate the smallest common multiple of q and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001021180207 rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 4*t**2 + 4*t + 4. Let i be l(5). Is 6 a factor of (0\/(-1) - i) + 980\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**2 - m + 10. Let i be y(0). Suppose 296 = i*g - 6*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 10 - 10. Suppose 5*z - 8 = -4*o, -o = 5*z - g*o + 6. Which is the nearest to z? (a) 1\/3 (b) 4 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lcllcjcllcllllcclcc. What is prob of picking 1 j and 1 l?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 8146.\nAnswer: 3\/8146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.90807 - 0.07677. What is u rounded to two decimal places?\nAnswer: 0.83","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38526495 a multiple of 1505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 1878155?\nAnswer: -1878153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -5 + 19 + -10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((-1 + sqrt(44) + -2)*3 + 3)*4)*3.\nAnswer: -72 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3768656249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 11*q**2 + 3*q - 2. Let o be 1\/(-6) - (-35)\/30. Is 6 a factor of b(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6)\/(-1)*10\/(-10)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, i: 8, l: 4}. What is prob of picking 1 h and 3 l?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -20021111110010?\nAnswer: 20021111102221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-224 + 224 + u - 11*u**2)*((-1 - 5 + 2)*(4 - 5 - 2) - 2 + 1 + 5 - 4 + 2 + 1) in the form l*u**2 + a + t*u and give l.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 7. Let y = 24 - 21. Let r be (-2 - 48\/(-18))*y\/2. What is the biggest value in r, h, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1211, 1381, 1551, 1721, 1891, 2061?\nAnswer: 2231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 628 and 20?\nAnswer: 3140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -276 - 20 - 3*q**2 - 232 - q**3 in the form z*q**2 + u*q + n + h*q**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45952409 to the nearest integer?\nAnswer: 6779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (27 - 35) + (9 - -1) + (1 - -46) + -4?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 50516010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 241029.\nAnswer: 1205145","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 3:52 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(96))\/(sqrt(21)\/(-1*sqrt(7))) + (2 + (sqrt(32) - (sqrt(32)*-1 + 3) - sqrt(32) - sqrt(352)\/(-1*sqrt(11))))**2.\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o - 54*o**2 - 65*o**2 - 59*o**2 + 168*o**2.\nAnswer: -10*o**2 - 8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tggggbdbc. Give prob of picking 1 d, 1 b, and 1 c.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(200) - sqrt(200)) + 3 + -2 - (sqrt(200) + 1 + -4 + sqrt(200) + 0 + 3))**2.\nAnswer: -80*sqrt(2) + 804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + y - 36 = 0, -12131*y + 27 = -3*x - 12126*y for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 219 (c) -2 (d) 5 (e) 28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 6 - ((-25 - -24) + -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 4:56 AM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 34*g + 601. Let d be a(-16). Let b(h) = -23*h + 1. Let z be b(-1). Find the second derivative of z*y**4 + 25*y**4 - d*y**4 + 6*y wrt y.\nAnswer: -96*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4*g**3 - 8*g**2 + 4*g + 12. Let i(f) = -f**3 + 2*f**2 - f - 1. Calculate -4*i(a) - z(a).\nAnswer: 8*a**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*y**3 + y**3 + 25*y**3.\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -37c + 4abe4?\nAnswer: 4a868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.99 * -0.129.\nAnswer: 0.12771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 346, 683, 1020, 1357?\n\"Answer: 337*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001177826 rounded to six decimal places?\nAnswer: 0.000118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10211122 (base 3) to base 15.\nAnswer: -c68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 10 = 2*i + 24, 379*n - 337*n + 24 = 3*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 302032 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -x + 10, 0 = 3*b + 2*x - 10 - 7. Let o be 3\/b*0 + 2. Let v(t) = 4 - 6*t + 3*t + t**o + 0*t**2. Give v(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1362485 to the power of 1\/2, to the nearest integer?\nAnswer: 1167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -99 - -151. Suppose -23409 = 33*f - 23343. Put k, f, -5 in decreasing order.\nAnswer: k, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 545 a factor of 1974535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 205\/4 - 6\/24. Let g = -568 + 499. Let v = p - g. Is 20 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (31*(-12)\/(-4464))\/(3\/48*2)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1011024 - 54?\nAnswer: 1010640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.032 - -0.358. Let a = 2.19 - n. Is a at least as big as 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 14*o + 5. Let f(b) = 8*b + 4. Let d(w) = -5*f(w) + 3*u(w). Determine d(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 67364 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6.92*-0.8\nAnswer: -5.536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -839, -1712, -2769, -4010, -5435, -7044, -8837?\nAnswer: -10814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-7) - (-112)\/49. Let h = 2 + o. What is the greatest common divisor of h and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4 = -3*d. Suppose 55 = -d*m + 175. Suppose -2*p = -7*p + m. What is the remainder when 23 is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 5)*(0 + 2*f + 0) - 72 - 10*f + 72 + 3*f - 5*f - 12*f + (2 - 5 + 2)*(4*f - 3*f - 3*f).\nAnswer: -26*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 14) to base 15\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from ccccbcbc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8364944um to kilometers.\nAnswer: 0.0000000008364944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 120 - 76. Suppose -42*d + q*d = 4. What is the second derivative of 20*f - d*f**2 - 34*f**2 + 19*f wrt f?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of 37\/12*k**4 - 1\/30*k**5 + 0 + 5*k**2 - 12*k**3 - 9*k. Factor a(s).\nAnswer: -2*(s - 36)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(3) + sqrt(12)) + 0.\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q*q**(4\/7))\/q*q))\/(q*q\/(q\/q**3*q)*q)*(q\/(q*((q**(-2\/5)\/q)\/q)\/q))\/q*q**2 assuming q is positive.\nAnswer: q**(-6\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = j - 5*r - 22, 4*r + 11 = j. Let y = 3 - j. Let n(v) = -v - 1. Let i be n(-7). Solve -4*h + 6*h + i = y for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 107*m**2 - 176*m + 4564. Determine c(-109).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -174 - -144. List the prime factors of (-24 - i)*(-15)\/(-2).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -38.7 times 50\nAnswer: -1935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2, -p - 10 = 5*a - 26. Differentiate 2*x**3 + 11 - p*x**3 + 5 + 19 - x**2 with respect to x.\nAnswer: -12*x**2 - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169 divided by 19?\nAnswer: 169\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 302, 1 in decreasing order.\nAnswer: 302, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0 - 1 - 96*d**3.\nAnswer: -96*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -25*n - 144. List the prime factors of r(-15).\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 83606*z**2 + 2*z - 353718 wrt z.\nAnswer: 167212*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*w**4 - 3\/2*w**3 - 3\/4 + 0*w**2 + 3\/2*w.\nAnswer: 3*(w - 1)**3*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 588 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 186992742*v**2 - 504277399 wrt v.\nAnswer: 373985484*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-12))\/(2\/22*6677\/(-214878)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5*f**2 + 2*f. Let s be v(-3). Let o = 16 + -24. Let t = o + s. Calculate 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 greatest common divisor of 78 and 886418?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8470061, 16940118, 25410169, 33880214, 42350253?\nAnswer: 50820286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 62735214 to the power of 1\/4, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2782674564.\nAnswer: 2, 3, 19, 12204713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and -113.\nAnswer: -112.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 273828614?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 13*v + 1. Let w(b) = 2 - b**2 + 0*b**2 - 4*b - 5 - 4*b. Let q be w(-6). List the prime factors of f(q).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 1)*562\/62. Let f = v + -9. Let t = -27\/62 - f. Which is the smallest value? (a) 1\/4 (b) t (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2880, 5602, 8310, 10998, 13660, 16290, 18882?\n\"Answer: -p**3 - p**2 + 2732*p + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 11:35 PM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l + 1. Let i = -87 + 90. Let b(s) = -s**2 + 2*s. Let j(h) = i*w(h) - 2*b(h). Determine j(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24899 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (0 + 0) - (38 - 37).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(-2\/3)))\/(o*o\/(o\/(o**10\/o)*o*o)*o)*o*o\/((o*o\/(o**7\/o)*o*o)\/o)*o\/(((o*o**(2\/9))\/o)\/o)*o assuming o is positive.\nAnswer: o**(-5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v**2 - 194*v + 866. What is k(5)?\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1281, 15, 0, -1, 3 in increasing order.\nAnswer: -1, 0, 3, 15, 1281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 444 - 125?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-40))\/(-3*5\/(-140))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1866 is divided by 574?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23 * -299944.\nAnswer: 6898712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*u**(5\/6)\/u*u*u*u**0*(u*u\/(u**1\/u))\/u**(1\/4)*(((u\/u**(-1\/2))\/u)**(2\/83))**(4\/5) assuming u is positive.\nAnswer: u**(27853\/4980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3559 = -4*f - 3*p - 2*p, 4427 = -5*f + p. Suppose 0*a = -4*j + 2*a - 6, -5*a - 3 = -j. Is j\/(-5) + f\/(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 4:41 PM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 17. Let n = p + 12. Which is the smallest value? (a) 2\/13 (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}