diff --git "a/data/dm_maths/full_data_2/201_11255.jsonl" "b/data/dm_maths/full_data_2/201_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/201_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose -4*t + c + 2792 = -967, 4*t + 5*c = 3717. Which is bigger: t or 941?\nAnswer: 941","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 4, 3*q - u + 0*u = 125. Suppose 18 = -2*g - 2*d + q, -4*g = d - 45. Calculate the greatest common factor of 11 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4289)\/34312 + (-4)\/(96\/1461).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 45 = -3*x + 291, -3*x - 3*j + 339 = 0. Let w be 44\/4 - (2 - -1 - 2). Calculate the greatest common factor of x and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -1. Calculate the smallest common multiple of 16 and (22 - k - 0) + -1.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 5*k**4\/4 - 7915*k**3\/2 + 105870*k**2 + 447235*k\/2 + 455155\/4 = 0?\nAnswer: -1, 29, 3139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**3 - 3*n + 3. Suppose 2*i + 6 = 4*i. Let f(k) = -4*k**3 + 4*k - 4. Suppose 2 = -5*m + 12. Let j(a) = i*x(a) + m*f(a). Determine j(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.12 + 113832102.31263.\nAnswer: 113832102.43263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 3*s + 2*t + 101, 0 = -4*s - 2*t + 144. Is s a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, t: 12}. What is prob of sequence htt?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -4*v + 9. Suppose v*z - z = 6. Suppose 108 = 4*p + 2*q, 7 + z = 5*q. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28354143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 132 + -108.9. Let b = -23.6 + y. What is b rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/1408)\/((((-1768)\/234)\/34)\/((-24)\/(-9)))?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 f when three letters picked without replacement from {v: 3, k: 3, z: 9, f: 5}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**3\/3 - 589286*v**2\/3 - 392860*v = 0.\nAnswer: -2, 0, 294645","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12562*n + 12710*n - 1480. Suppose 5*b + 3*h = 390, -113 - 137 = -3*b - 5*h. What is the remainder when b is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7216)\/336 - -21)*-21\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1659*i = 1466*i + 11387 for i.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 9*z. Suppose 4*j - 95 = 3*l, z*l - l + 68 = 3*j. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 268619 times -658\nAnswer: -176751302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -78*j**2 + 1180*j - 153. What is c(15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 10*i**2. Let b(n) = 4*n**2 + 4*n + 4. Let j be b(-4). Let q(l) = -62*l + 43*l + j*l. What is y(q(h))?\nAnswer: 10890*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -40 greater than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d - 1. Let k(n) = 4*n + 2. Let o be (0 - -5) + (1 - 3 - -3). Give o*k(p) + 14*b(p).\nAnswer: -4*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + 1 - (-2412 + 2429)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19140 + 19140 + l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 77 + -76 + (-10 + -56 - -7)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 10:52 PM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 + 67. Suppose 5*i - k = 5. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**5 + 2*x**3 - 2*x**3 + (-2 + 4 - 1)*(-3 - 2*x**5 + 3) + 142228*x**3 + 408*x**5 - 142228*x**3.\nAnswer: 407*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -2*z + 8, -94 + 76 = -4*z + p for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.93 + 7. Let v = -2.59 - -2.99. Which is the second smallest value? (a) -3 (b) 2 (c) v (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.8 + -7.2. Which is the biggest value? (a) -3 (b) i (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3899, 3904, 3907, 3908, 3907, 3904?\nAnswer: 3899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + d = 0, -3*b + 11 = 4*d - 10. Suppose 5*j + 2*t - 92 = 0, b*j + 0*j - 2*t - 68 = 0. What is the remainder when 53 is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 6*p**3 - 1 + 2*p**3 + 6*p**2 - 9*p**3. Suppose 8*j + 17 = 65. Determine g(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -438 (c) -3 (d) 6\/17 (e) -2 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2892.486 and 0.24.\nAnswer: 694.19664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/1896 and (-14)\/(-48) + (175\/(-40) - -4)?\nAnswer: 1896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*f**2 - 5*f**2 + 4*f**2 + 11 wrt f.\nAnswer: -10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4092)\/(-44))\/((-12)\/(28\/(-7)))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by -587?\nAnswer: -13\/587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39625008, 39625093, 39625242, 39625461, 39625756?\nAnswer: 39626133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(133)\/(sqrt(7) + sqrt(28) + sqrt(7)))*-5 + 3.\nAnswer: -25*sqrt(19)\/4 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18744)\/78100)\/((-33)\/(-5)).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.3511696 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t - 4. Let y be b(-4). Let n = y - -12. Solve -v + 5*v + k = 2, -4*k - 12 = -n*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1771875 and 16100.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*r + 4*w + 17, -5*w = 3*r + 17. Let h = -33 + 23. Let g be -5*(-2)\/h*-4. Solve -r - 19 = g*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x + 3 + x + 4*x - 5.\nAnswer: -3*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -s + 55. Suppose -60 = -7*w + 2*w. What is the remainder when s\/(-12)*12\/(-3) is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10628 and 25224.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 3*h**2 - 4*h - 3. Let t be f(-4). List the prime factors of 9 + 1 + t + 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5288*a**2 + 4366 wrt a?\nAnswer: -10576*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of 0 + 1\/6*l**3 - 9*l + 0*l**2 + 3\/5*l**5 + 0*l**4. What is the second derivative of x(f) wrt f?\nAnswer: 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 8*v - 16. Suppose -w - 5 = -4. Put -7, w, v in decreasing order.\nAnswer: v, w, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 7*g**2. Let h be d(-7). Suppose h*f + f = 164. Is 14 a factor of 2\/3 + f\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16077870500 to the nearest one million.\nAnswer: 16078000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wgwwwwccccpwcpcwccc. What is prob of picking 1 g, 1 w, and 2 c?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58 + -40. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -300 + 299.99999767. What is i rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 16*k**2 - 16*k + 18. Determine v(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.99 take away 7276?\nAnswer: -7249.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/6*52\/(-39). Let p be 3\/5 - 14\/(-35). Is p at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f + 9*f + 0*f - f + 2 - 3 + 4 + 0*f + f - 3*f + (-7*f - f + 7*f)*(2 - 2 + 1).\nAnswer: 4*f + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**2. Let d(l) = 5*l - 4. Let u(j) = -1. Let z(r) = -d(r) + 4*u(r). Calculate n(z(m)).\nAnswer: 75*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - (-2 - 1) - -4. Suppose -14 - z = -5*y - 2*q, 3*y + 4*q = 26. Suppose -3*m - y*m = a - 10, -4*a + 2*m = -40. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157108*z + 78548*z + 78556*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.146 + 18.854. Which is the closest to -0.1? (a) 0.3 (b) 1\/2 (c) x (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.356 - -27.\nAnswer: 29.356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8683602, 17367192, 26050782, 34734372, 43417962, 52101552?\n\"Answer: 8683590*a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x - 3*x + 0*x + (-1 - 2 + 1)*(0*x + 2*x + 0*x).\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 0*s = 3*q - 36, -3*s - 4 = -5*q. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0*(27\/(-6))\/9)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13202, 13201, 13194, 13181, 13162, 13137, 13106?\nAnswer: 13069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n + 1. Let g be w(-1). Let r(o) = -5*o - 4 + g + 4. Let c(h) = -h. Calculate 6*c(y) - r(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 35*m. Let k = 53 - 37. Let p(d) = -k + 10 + d + 6. Determine c(p(g)).\nAnswer: 35*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*k + 6439 = 6470 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80059?\nAnswer: 7, 11437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16639 - 2*h + 16639.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 32*h + 10. Is p(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*((-16)\/(-6))\/2. Let v be (-4)\/(-2) + (0 - 0). Suppose v*c + 8 = 6*c. Put -5, c, a in descending order.\nAnswer: c, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by 75.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6391 * -251.\nAnswer: -1604141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 7:35 PM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0.2 (c) 3319\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 5*a + 7 + 12, 4*a - 26 = -2*t. Solve -5*s - t - 16 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k + 2 + 5*k**2 + k**2 - 9*k**2 - 2*k**4 in the form d*k**3 + y*k + g + c*k**2 + m*k**4 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 311169921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 23353\/(-187) - 12\/102. Let c be 8 - 90\/w*-10. Factor -f - c - 1\/5*f**2.\nAnswer: -(f + 1)*(f + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 + 0.1. Let o = 0.5 - f. Which is the nearest to o? (a) 0.5 (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 526*i**2 + 8179*i + 289. What is p(-16)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 - 3*f + 3. Let g be o(2). Let y = -9\/2 + g. Let x = -9 - -8.8. What is the third biggest value in -2, y, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15288 is divided by 4984.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 774868.\nAnswer: 2, 307, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 34 divided by 1438705\nAnswer: 34\/1438705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -359, -2501, -8219, -19271, -37415, -64409?\n\"Answer: -293*r**3 - 30*r**2 - r - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54816 or 54814?\nAnswer: 54814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473960234?\nAnswer: 2, 11, 4289, 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -5*w - 3*y, 92 = -454*w + 459*w - 3*y. Sort 1, -51, w.\nAnswer: -51, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 748447 to the nearest integer?\nAnswer: 865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**4\/3 - 5*j**3 + j**2\/3 + 5*j = 0.\nAnswer: -15, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -17206.\nAnswer: -2\/8603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of u**9\/432 + u**5\/24 - 2*u**3\/3 - 2. Let g(f) be the third derivative of o(f). Find the second derivative of g(b) wrt b.\nAnswer: 140*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-351)\/(-6) + (-15)\/(-10). Suppose 3*b - o = 57. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1749195125 - -1749213329.44041. Let f = 18171.44 - t. Let n = -33 - f. Round n to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6668.049mg to micrograms.\nAnswer: 6668049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 1\/15541?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11336 and -8.\nAnswer: -90688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*y - 103*y + 325*y - 110*y.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 7*h + 14 = -10*h + 42, 0 = 5*h - 30 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) 2 (c) -3\/5 (d) -0.534 (e) 3 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 a when three letters picked without replacement from {y: 5, a: 15}?\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5 = 4*t. Let d(g) = -11*g - 39. Let z be d(-4). Let h be 6*(z\/2)\/t. Solve -3*q = 2*q + h for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3*u = 30, u = -u + 10. Let p(b) = -6 + 4*b + 11 - 2*b - b**2 - 7. Let i(l) = -3*l**2 + 5*l - 5. Give n*p(x) - 6*i(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108732 divided by 663.\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15336, -15357, -15364, -15351, -15312, -15241, -15132, -14979?\nAnswer: -14776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-90*u**2 + 61*u**2 + 3*u**2 - 120*u**2)*(-u - u + u)*(-4 - 5 + 2) to the form r*u + b + n*u**2 + d*u**3 and give d.\nAnswer: -1022","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 3*j = 3*d + 80, j + 5 = 0. Let t be 2 + -4 + (d - 1). Suppose -t = -2*o + 2. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 0.9. Put n, 2\/3, 0.1 in decreasing order.\nAnswer: 2\/3, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t - 7. Give r(-15).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 792, 2693, 7016, 15075, 28184, 47657, 74808?\nAnswer: 110951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = -3*m + 8*d + 12, 5*m + 4*d = 3. Let j(i) = 2*i**3 - 5*i**2 + 6*i + 1. What is j(m)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {r: 9, f: 9}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449911 is divided by 112397?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 - -115 - ((-10 - -20) + -1).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**4 - 2 + 2)*(-1 - 3 + 2) - 2*s**4 + 3*s**4 - 2*s**4 + 16*s**4 + 27*s**4 - 2*s**4 + s**4 - 4*s**4 + 5*s**4 - 2*s**4 + 2 - 2.\nAnswer: 44*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 5*z**2 + 9*z - 7. Let r(i) = -20*i - 3. Let u be r(-1). Calculate the remainder when u - -1*6\/2 is divided by d(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -510*m**2 - 75*m - 75. Let u(f) = -27*f**2 - 4*f - 4. Let d(o) = -4*l(o) + 75*u(o). Let k(c) = 5*c. Calculate k(d(b)).\nAnswer: 75*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*u + 1\/2*u**2 + 512.\nAnswer: (u - 32)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 456270979 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, 10408530 in decreasing order.\nAnswer: 10408530, 6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 16 = 3*i, 3*n - 2 - 10 = -i for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 13*o**2 + o + 11. Let q be g(-13). Let s be 25\/10 + 42\/12. Is 486 - (q + 2\/s*3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111110 (base 2) in base 12?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*k = 45. Let x be 408\/k - (8\/(-12) - -1). Let a = x - 23. Does 11 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10336451 - 3?\nAnswer: 10336445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 77 in -1748, -1\/3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 4. Let w = -20 + 28. Suppose -w*l + 4*l = 24. Sort 5, l, c in decreasing order.\nAnswer: 5, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1004 + 232312?\nAnswer: 231303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(234)\/(-1*sqrt(9)) - sqrt(26))\/(1*sqrt(8)) + (sqrt(117) - (sqrt(117) - -3*sqrt(117)*3))\/(3*sqrt(9)*-1))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/9*1)\/((-222)\/333).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*v - 38 = 3*i - 70*v, -3*i = 5*v + 34 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 91166 greater than or equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, s: 8, a: 3}. What is prob of picking 2 a and 1 w?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3554025666 + -3554025741.00000686. Let t = v - -75. Round t to 7 decimal places.\nAnswer: -0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 11:00 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 0 + 3 + -1 + 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -17, -2, -5, -1\/91, 0.4?\nAnswer: -1\/91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o**2 + 20*o - 91. Calculate u(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-3)*(-4145 - 1)*-3. Suppose h = o - 947. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 203576 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3652 - 3632. Solve 3*r = -10*p + 4*p, -5*r = y for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 12820.8.\nAnswer: -51283.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n**2 + 4*n**2 - 3*n**2 + 0*n**2 - n**2 + 0*n**2 + (-n - 3*n + 2*n)*(n - 2*n + 0*n) - 4*n**2 + 3*n**2 + 3*n**2 + 10*n**2 - 4*n**2 + 32*n**2.\nAnswer: 46*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three fifths of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -22, -72, -152, -268?\nAnswer: -426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2856*d = 1674*d + 42552 for d.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - v - 5*z - 4564, 0 = -z. List the prime factors of v.\nAnswer: 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 9}. Give prob of sequence zz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (260\/(-468))\/(-5)*-153?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3482471 minus 9?\nAnswer: -3482480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34907.\nAnswer: 67, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 19. Suppose 19 + 17 = n*i. Solve -4*k = -k - i for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 7.1 and 558.\nAnswer: 565.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -9, 236, -5 in descending order.\nAnswer: 236, 3\/7, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 16214 and 53?\nAnswer: 16161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 5 - 2) + 0 - -10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(5\/2)*x*x*x**(4\/3)\/x*(x\/x**(-3\/8))\/((x\/((x\/((x\/x**(-3))\/x))\/x))\/x) assuming x is positive.\nAnswer: x**(101\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 11 - -6)*(-16)\/12. Solve m*g + 34 = 21*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 595\/(-28) - 3\/4. Let f = v - -33. Calculate the least common multiple of f and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 15*y**2 - 47*y - 184. Calculate i(-9).\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 3*q + 9, 2*q = 2*l - 3*q - 19. Let x = l + 9. Find the first derivative of -2*v**3 - v**3 - x*v**3 + 9 - 4 wrt v.\nAnswer: -27*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 184007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1 - (-8)\/60*-78 and 75\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -31*k**3 - 321*k**2 - 4639?\nAnswer: -93*k**2 - 642*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1017 a factor of 5421627?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from trttrttttttttttr.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(170)*-2)\/(sqrt(80)\/(sqrt(8) - sqrt(128)))*-4)**2.\nAnswer: 156672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n. Let k(j) = -5*j. Let d(s) = -3*k(s) - 2*v(s). Let g(z) = z. Let r(x) = -2*x**2 - 4*x. Let i(f) = 4*g(f) + r(f). Determine i(d(m)).\nAnswer: -242*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5705, 8853, 9447, 7487, 2973, -4095, -13717?\nAnswer: -25893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*m - 56*m**3 + 13*m - 24*m + (-m + 2 - 2)*(4*m + 3*m**2 - 4*m) + (2*m**3 - 2*m**3 - m**3)*(24 + 19 + 14).\nAnswer: -116*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1217901 + -562346. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022012000011011 - -10?\nAnswer: -1022012000011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (35*t - 3*t + 23*t)*(-t + t - 3*t**3) - 2*t**3 - 2*t**3 + 5*t**3 - 4*t**4 in the form q*t**4 + m + u*t**2 + i*t**3 + a*t and give q.\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 605081482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (27\/81)\/((-4)\/(-36)). Sort 0, 2, 9, q in increasing order.\nAnswer: 0, 2, q, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*y - 172, -4*g = 7*y - 4*y - 162. Let v be (2\/4)\/((-3)\/(-114)). Let f = -8 + v. What is the remainder when g is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3991 and 6552?\nAnswer: 2011464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 + 571*f - f**2 + 101 - 442*f.\nAnswer: -f**2 + 129*f + 101","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1376 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 39*-95*(-7)\/((-210)\/(-4)). Let s = -486 + c. Suppose 5*z - 46 + 11 = 0. Calculate the smallest common multiple of s and z.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(720) - (sqrt(720) + 0)) + sqrt(720) + -1)*-1 + (-2*-2*sqrt(720) - 1*(sqrt(720) + -1)))**2*5.\nAnswer: 480*sqrt(5) + 14420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + m - 24. Let f(a) = -7*a + 79. Let p be f(9). Solve -28*r - p - 12*r**2 + m - 37*r**2 = 0.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -17148399\nAnswer: -5\/17148399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -18 and -1.081.\nAnswer: -19.081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 7*k - 10. Let y be d(-8). Let l be 1\/2 - 3\/y. Put l, -4, -3 in ascending order.\nAnswer: -4, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12853778 less than 12853778?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80 divided by -1.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1428 and 50932.\nAnswer: 152796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7759 divided by -5.\nAnswer: -7759\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9883597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20815, -83311, -187493, -333361, -520915, -750155?\nAnswer: -1021081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 at most as big as 136\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 97127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36.2 + -105.2. Let u = 0.59 + -69.09. Let o = g - u. What is the third smallest value in 2\/7, -27\/4, o?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 3*v - 4. Suppose -40*i = -36*i - 44. Let f = 8 - i. Determine a(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 3*y + 5. Let a be k(-4). Let r = a + -1. Suppose -b + 27 = -3*s, 3*b - 51 = -r*s + 3*s. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 16*s + 17*s + 235963, -3*s = -3*n - 176961. What is n rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*((o*o**(2\/11))\/o)\/o*o)**(10\/11)*o\/(o*o**(3\/5))*o\/(o**(-1\/2)\/o)*o assuming o is positive.\nAnswer: o**(4809\/1210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c - 4b?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 9*c**2 + 11*c + 18. Let x be b(-6). Suppose -16*a = -20 - x. Sort -17, 3, -5, a in increasing order.\nAnswer: -17, -5, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**4 - k**4 + 2*k**4)*(101 - 93 + 237 + 196).\nAnswer: 882*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1 - -2) + -4)*(-3 + (-2)\/6).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93923?\nAnswer: 93923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + k = 4*k + 209, -4*k = -l - 57. What is the nearest to l in 1\/7, -5, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 5*y + 3. Let p(a) = 170*a - 1190. Let k be p(7). Determine o(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*113755.\nAnswer: 45502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.19 and -1.\nAnswer: 1.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 297 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 2.94\nAnswer: 2.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3)*x)\/x**(-1\/21) assuming x is positive.\nAnswer: x**(-41\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 7*g - 43. Let x be i(6). List the prime factors of (792\/308)\/(x\/(-77)).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(-22)*3*8\/(-12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 435 a factor of 18362220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10692 and 34496?\nAnswer: 8382528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*a**4 + 4*a - 2*a + 13*a**4 - 3 as z*a**2 + w*a**3 + s*a**4 + u*a + m and give s.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*v**2 - v + v)*(3*v + 4*v - 4*v)*(-3 - v + 2*v - 2*v) to the form d*v**2 + p*v + b*v**3 + i*v**4 + n and give b.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*s + 4*r, 0 = -5*r - 9 + 34. Let c = -6453 - -6525. What is the lowest common multiple of c and s?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z**2 + 66276*z + 132551. Determine h(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -818*x**3 + 426645*x + 5*x**2 - 426645*x + 797*x**3.\nAnswer: -21*x**3 + 5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 3*b + 9. Let u be p(5). Let r = 9 - 61. Let j = u - r. What are the prime factors of j?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + h + 0)*(4*h**2 + 2*h - 7*h**2 - h) in the form b*h**2 + f*h**3 + y + r*h and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -1962 and -1963 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by -246779?\nAnswer: -17\/246779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -16*3\/(-24)*28\/(-8)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2223223 (base 6) to base 5.\nAnswer: 12042231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 208\/32) + 2*(-1 - 0)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -135 - -147. Calculate the remainder when ((-737)\/(-33))\/(4\/b) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4 + sqrt(15)\/sqrt(3)).\nAnswer: 6*sqrt(5) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -x + 66. List the prime factors of x.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) 0.4 (b) 5 (c) -56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 48859013631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -h**3\/3 + 73. Let w(o) = 3*o**2 + 4. Calculate w(r(p)).\nAnswer: 3*p**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i*i\/(i\/i**16))\/i)\/(i\/(i\/(i*i\/(i\/(i\/(i\/i**(-23))))*i))) assuming i is positive.\nAnswer: i**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290*b - 915 - 6625 = 0 for b.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: 155 (base 10) to base 15\nAnswer: a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5379?\nAnswer: 3, 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -23269 (base 11) in base 12?\nAnswer: -17534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37 - -31. Let p be (-4)\/(-4)*1 + (v - -9). Suppose -3*n - 4*l + 40 = 0, p*n + 3*l = 73 - 8. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 6*p + 1. Suppose 0 = 5*f + 3*k - 4*k + 27, 0 = -5*f - 5*k - 45. Determine q(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -83*n**2 + 1. Let j be w(1). Let f = j - -24. Let v = -34 - f. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 210206?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n**3 - 7*n + 25*n - 7*n + 65*n to the form f*n + h + v*n**2 + x*n**3 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(((-3)\/((-18)\/10))\/(-1)). Solve 3*k + 6 = -v, -2*o - 4*k = 22 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 36440917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 2:16 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/g**(-1\/3)*g))\/g)**(-33)\/(g*g*g**(-1\/3))**(2\/85) assuming g is positive.\nAnswer: g**(3925\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 117429.918 rounded to the nearest 100?\nAnswer: 117400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 464*k**4 - k**3 + 12*k + 615102?\nAnswer: 1856*k**3 - 3*k**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1092500 divided by 5.\nAnswer: 218500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 751, 13 in decreasing order.\nAnswer: 751, 13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/21)\/((-8)\/28). Determine p so that 16*p - 2*p**3 - 4*p**2 - o*p**3 + 9 + 4*p**2 + 7 - p**4 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 5*l**2 + l. Let z be b(5). Let i be z + -5 + 3 + -5. Let f = 2 + i. Solve -2*g = -f*g - 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + 7. Let j be u(-5). Suppose -c = 4*i - 80416, c = 14*i - 9*i + 80380. Suppose -6*m = -j*m + c. What is m rounded to the nearest one thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 353*z**5\/10 - 225*z**2 + 11*z + 15. Find the first derivative of h(x) wrt x.\nAnswer: 2118*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4*s = 80090, -4*j + 65289 = s + 172054. What is j rounded to the nearest 1000?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -f**6\/10 - 5*f**2 + 4*f. Find the first derivative of o(g) wrt g.\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u - 22*u + 87 = 0. Suppose -u*n + 9 = -28*n. Let h(z) = -z + 22. Calculate h(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1479275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, 5, -133\/7927, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3012130133 - -101?\nAnswer: -3012130032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-330)\/990)\/(3\/(-18)))\/((-2)\/(-16))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 500 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7849?\nAnswer: 47, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -31, -30, -29, -28, -27?\n\"Answer: i - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -2*y - c - 184, -152 = 4*y + 2*c. Let f(o) = o**2 - 69*o - 757. Let u be f(79). Let w = u - y. Is w a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2305*r + 1. Let o be n(10). Suppose -4*v - o = -3*m, 7*m - 11*m = -v - 30726. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/(-9) + (-762527)\/(-57) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3620, -7254, -10902, -14570, -18264, -21990?\nAnswer: -25754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and -947.\nAnswer: -946.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 5:48 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4300 - 4325 = -5*t. Which is the closest to 2\/3? (a) 17\/2 (b) 0.3 (c) -2 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 25068399 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/206 and 59\/31268.\nAnswer: 3220604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w - 1. Let j(l) = -7*l + 4. Suppose -37*s + 120 = -7*s. Let q(x) = s*i(x) - j(x). What is q(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*s**2 - 2*s**3 - 183*s + 183*s wrt s.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 142*z**6 + 89540*z**3 - 48246035*z**2.\nAnswer: 17040*z**3 + 537240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**(2\/19))\/d)\/(d*d\/(d\/(d**13*d*d*d*d))) assuming d is positive.\nAnswer: d**(-325\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8645, -8638, -8619, -8582, -8521?\n\"Answer: m**3 - 8646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 23*p**2 - 47*p - 80. Calculate m(25).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323 is divided by 283.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 88, 5, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + 2 - (5 - 5). Is 3 + -1 + (-30)\/h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1432.8 + 1433. Let d = 0.3 - 0.5. Put d, r, -5, 2 in descending order.\nAnswer: 2, r, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -455 + 481. Suppose 0 = -37*n + g*n + 23056. What is the thousands digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.42 * -0.117731\nAnswer: -0.04944702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -4, 22828708 in increasing order.\nAnswer: -4, 1, 5, 22828708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1173*s*x + 36*s - 1 with respect to x.\nAnswer: 1173*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/9, -0.5, 0.7, 0, -26?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 32*z - 29*z - 41 + 5, 0 = i + 4*z - 18 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4a02 (base 13) to base 7\nAnswer: -42361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 266669*q + 14. Let v(b) = 1066676*b + 56. Let n(m) = 9*t(m) - 2*v(m). Let o be 190\/(-30) + 2\/6. Let a be n(o). Round a to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -2, -3, -48 in descending order.\nAnswer: 0, -2, -3, -4, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1137*w - 13672*w + 9*w**2 - 3122*w - 11*w**2.\nAnswer: -2*w**2 - 17931*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3.648482 tonnes?\nAnswer: 3648.482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11112 (base 3) to base 12.\nAnswer: a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 14 = 4*r, 5*r + 3 = -4*v + 16. Let z(f) = -10*f + 36 - 3*f**2 - 46 + 4*f**v. Let o(w) = w**2 - 7*w - 7. Give -7*o(x) + 5*z(x).\nAnswer: -2*x**2 - x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/289, 1, 2, -4?\nAnswer: -2\/289","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5864.86061 rounded to the nearest integer?\nAnswer: 5865","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of y**6\/360 - 407*y**5\/90 + 41615*y**4\/18 - 164836*y**3\/9 + 9112*y**2. Find k such that d(k) = 0.\nAnswer: 2, 406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + o - 1664 = 163. Calculate the remainder when o is divided by 102.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/5 + 325181*n\/5 + 2211462.\nAnswer: -(n - 325215)*(n + 34)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.4802 + -0.4802. What is the closest to 0 in i, -3, -5\/2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -3.2. Let u be (-2)\/(-8) + (-42)\/(-24). Suppose 4*i = u*i + 8. Which is the biggest value? (a) i (b) 0.1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2)*-1 + -2 - ((sqrt(2) - (sqrt(2) + -3)) + 5)**2.\nAnswer: -66 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2280672 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4 - 69*d**3 + 16*d**2 + 1104*d.\nAnswer: -d*(d - 4)*(d + 4)*(d + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, n: 2, z: 4, y: 9}. What is prob of sequence zz?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/3872190 and 59\/6.\nAnswer: 3872190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116 = 4*t + 4*c, -t + 2*c - 22860 = -22895 for t.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 65871220?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0584667 rounded to three decimal places?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(931) + -3 - (sqrt(931) + (1*sqrt(931))**2*6 - sqrt(931))) + (sqrt(19) + -3 + ((sqrt(1539))**2 - sqrt(19)) - ((sqrt(209)*-2)\/sqrt(11))**2).\nAnswer: -4129 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 459593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, 0.4, -0.5, -0.17, -1\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10916976*a**4 - 10*a - 85392?\nAnswer: -131003712*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(4 + sqrt(833) + 3 + sqrt(833)*-1 + (sqrt(833) - -5*(sqrt(833) - (-4 + sqrt(833) + sqrt(833)))) + 4))**2.\nAnswer: -6944*sqrt(17) + 57156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 384 and 2751104?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 + -14 - (-295 + -21 + 300)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -5*u**9\/252 + u**5\/60 + 10*u**2. Find the third derivative of y(w) wrt w.\nAnswer: -1200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -5. Let g be 0*(-2 + (-5)\/p). Let u(t) = t + 12. Let y be u(g). What is the greatest common divisor of 18 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 5 = 22*y - 17*y, o + 2 = -4*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-2)\/3))\/((-50)\/((-77000)\/(-231))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 22, 0.25 in ascending order.\nAnswer: 0.25, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/28)\/(7\/(42 + 7)). Suppose 9*x + 15*x + b*x = 0. Which is greater: -1\/633 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.625 + 0.075. Let d = c - -0.3. Let m = d - 4. What is the smallest value in -3, m, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2779963443*d**2\/2 + 40029915*d - 1729225\/6 = 0.\nAnswer: 1315\/91323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 811787, 811806, 811825, 811844?\nAnswer: 811863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -d**6\/60 - 4*d**5\/15 - 7*d**4\/12 + 19*d**2. Factor q(w).\nAnswer: -2*w*(w + 1)*(w + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 249.4*-1.1\nAnswer: -274.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1178679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64, 168, 258, 328, 372, 384?\nAnswer: 358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.29665 millilitres in litres?\nAnswer: 0.01329665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 40*m + 117. Let y be h(-3). Let n(x) = 3*x**2 - 7*x - 34. Let w be n(y). Solve -5*j = w - 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 641692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 5*q - 3. Let i = -25 - 151. Calculate the smallest common multiple of m(5) and i\/(-10) + 4\/10.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1367, 1389, 1439, 1523, 1647, 1817, 2039, 2319?\nAnswer: 2663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 0.0353.\nAnswer: -0.0353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 - 208380*d - 56416025.\nAnswer: 5*(d - 41945)*(d + 269)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2739*h**2 + 2558*h**2 + 897*h**2 - 2010*h**2 + 2129*h**2 as u*h**2 + g + r*h and give u.\nAnswer: 6313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lr when two letters picked without replacement from lllrlararr.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 317343712 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54 - 24. Let g(y) = y + 1. Let r be 1 + -2 - 0\/(-4). Let m be g(r). Solve -2*i + m*i = -5*b - 35, -5*i + n = -b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (26 - 27 + 32)*((3 + 1 - 6)*(4 - 3 - 2) - 2 + 1 + 0 + 0 + 1 - 4)*(-1 + 2 + 0)*(6 - 26 + 16)*(0 + b + 0) to m*b + x and give m.\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 + 0*x**2 + 7*x**2)*(2 - 4*x - 2) + 13*x**3 + 1177 - 1177.\nAnswer: -23*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10837721 is divided by 397?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v*v\/v**12*v))*v**(-2\/7)*(v*v**(-1\/3))\/v**3)**(-9\/4))**(1\/3) assuming v is positive.\nAnswer: v**(61\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 6*t - 11. Let s be q(8). Solve z = s*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 31*t**2 + 3855*t + 1346. Give u(-124).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 0)*(0*x + 5*x - 3*x)*(-913 + 49*x + 913).\nAnswer: 98*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**2 - 20 - 5*h**2 + h**2 - 8*h + 30 = 0. What is h?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nngnmlvllvnvnn. Give prob of picking 1 g, 1 m, and 2 l.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 83372.\nAnswer: 33348.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, u: 5, k: 8}. What is prob of picking 1 u and 3 k?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2352*w + 2093*w - 3*w**3 + w**3 + 258*w.\nAnswer: -2*w**3 + 4703*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8559081?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -286 + 1783?\nAnswer: 14a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*n, 4*n = -28*o + 27*o + 7 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -13 - (77 + -91).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 22*l - 40. Let t be q(-19). Let y be (-8)\/28 - 52\/14. Sort y, 3, -5, t.\nAnswer: -5, y, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-9\/7)\/(w**(-14)\/w*w) assuming w is positive.\nAnswer: w**(89\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 2662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*k + 15*k - 30784. Calculate the highest common factor of 222 and k.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6037.493um to meters.\nAnswer: 0.006037493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2313 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**3 - j**2 - 2*j - 1. Let i(g) = 68*g**3 - 10*g**2 - 16*g - 8. Calculate 8*b(k) - i(k).\nAnswer: -52*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/520 and -103\/260.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(555\/(-80) - -7).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 0*m - 4*m + 3*m. Let r(a) = a**3 + 10*a**2 - 10*a + 14. Let b be r(-11). Let d(n) = b*n - 13*n + 11*n. What is c(d(v))?\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 4889*l + 177120. Determine d(36).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 9:41 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(7\/5)*t)\/t*t)**(-1\/13)\/(t**1)**(-17\/3) assuming t is positive.\nAnswer: t**(1069\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from zfzf?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 24171*j + 145460. Determine u(-6).\nAnswer: 434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -583, -580, -575, -568, -559, -548, -535?\nAnswer: -520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 5:00 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l - 3, l - 12 + 11 = -o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-4)*(-20)\/6. Put 0.4, p, -9 in descending order.\nAnswer: 0.4, p, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 (base 15) in base 5?\nAnswer: 1441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m - 1. Let n be d(7). Let h = 14 - n. Suppose 0 = h*u - 3*u - 10. Put u, -3, 0.3 in descending order.\nAnswer: u, 0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/(-27))\/((4\/(-6))\/(-1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-262)\/(-3) + 3\/(-9). Let j = -15805\/177 - -96\/59. Let z = m + j. Which is smaller: z or 3\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -142618*z**3 - 549*z + 1647. Let i(c) = -1041*c**3 - 4*c + 12. Determine -549*i(n) + 4*y(n).\nAnswer: 1037*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -11*s. Let j(b) = 2*b - 2*b - 5*b + 8*b. Let h(k) = 8*k. Let q(p) = -3*h(p) + 10*j(p). Determine q(w(i)).\nAnswer: -66*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*n**3 - 5*n + 5*n.\nAnswer: -11*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-81))\/((-2)\/6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 682521233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (46 - 4)) + (-21 - ((7 - 15) + -14))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(77))\/(sqrt(49)\/(sqrt(14)\/sqrt(2)) + sqrt(7)).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 650*p + 68 = 633*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144\/19*v - 42\/19*v**4 + 4\/19*v**5 - 32\/19 - 226\/19*v**2 + 8*v**3 = 0. What is v?\nAnswer: 1\/2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n**2 - 2332*n + 11757. Give y(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 273\/(-6) + (-3 - 5\/(-2)). Let v = t - -79. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 4776?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((5*sqrt(931))**2 - sqrt(931)).\nAnswer: -21*sqrt(19) + 69825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -21, -28, -39, -54, -73, -96?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/864*3)\/((221\/728)\/(-17))?\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 25 + (-4)\/12 + (-6)\/9. Is (q - -7018)*((-2)\/(-4))\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 159.2337794+-4\nAnswer: 155.2337794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (260\/(-60))\/(1\/(-3)). Suppose -25 = -3*r - 2*r. Solve -2 = r*b + z for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 138*c**2 - 3*c - 4. Is l(-3) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -382 or 5345?\nAnswer: -382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, d: 1, y: 2, n: 4}. What is prob of sequence onno?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, j: 7, m: 2}. What is prob of picking 2 m?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 22099.801631 rounded to the nearest ten?\nAnswer: 22100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 62 times -58657.72\nAnswer: -3636778.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h + 10*h + 25200 = 0. Suppose -9*p - 19*p + h = 0. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19 or -171148\/8851?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -44, -230, -722, -1670, -3224, -5534?\n\"Answer: -25*m**3 - 3*m**2 - 2*m - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 5*q**2 + 6*q + 2. Let d be x(6). Let j be (-1 + (9 - d))\/2. Solve -3*k + 20 = 2*f, 3*f - j*k - 16 = -4*k for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/481601 at least -1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 15*c - 50. Let q be i(6). What is the highest common factor of 5 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1717 less than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 76\/(-5) + (-3)\/(-15). Let y be -5*(72\/t)\/3. Solve y*q + 15 = 3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -222109\nAnswer: 3\/222109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 + 22 - 16780*b**3 - 78 + 28.\nAnswer: -16780*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by (-366)\/12*(2 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -72, -68, -26, 48, 148, 268?\n\"Answer: -l**3 + 25*l**2 - 64*l - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 7*d**2 - 8*d - 8. Let v be p(-6). Let k be (-4)\/(-6)*42\/28. Which is the closest to k? (a) -1\/2 (b) 0.2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/64215 and -70\/526563.\nAnswer: 2632815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 527530 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 211459397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -620 = 30*i - 32*i. Let s(t) = t**3 + 5*t**2 - t - 5. Let y be s(-5). Suppose 4*x + i = 3*w + 3*x, y = -4*w - x + 404. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1592*j**3 + 1177*j wrt j?\nAnswer: -9552*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of p**4\/4 - 2*p**3 + 3*p**2 - 6*p + 43. Let g(r) = -4*r**3 + 17*r**2 - 17*r + 17. Let y = -5 - 1. Give y*g(o) - 17*j(o).\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 5*u. Let f = -2 + u. Let r be (-77)\/21*43\/86. What is the closest to -0.1 in -1, f, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16702686?\nAnswer: 2, 3, 7, 11, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 115 + -110. Suppose 45291 = -4*j + 2*h - 56707, 0 = -3*j - o*h - 76505. Round j to the nearest one thousand.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -210*n**4*q - 191*n**2*q - 71*n*q - 23*q wrt n.\nAnswer: -2520*n**2*q - 382*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 7102 = 4*m + 813, -5*c + 2*m + 7925 = 0. What is the units digit of (-92)\/(-3)*c\/92?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 + 1)*(14*c - 665410 - 10*c**2 + 665410).\nAnswer: -50*c**2 + 70*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 91\/4*l + 1\/4*l**2 = 0. Calculate l.\nAnswer: 0, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -9*p + p**2 + 0*p**3 + 0 - 1\/2*p**5 + 0*p**4. What is the first derivative of w(s) wrt s?\nAnswer: -30*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -5*w + 13. Let n(a) = -4*a + 12. Let b(o) = 4*n(o) - 3*r(o). Let x = -5 + 17. Let i be b(x). Put 5, 0, -4, i in descending order.\nAnswer: 5, 0, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5004*225.\nAnswer: -1125900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x + 57. Let r(b) = 68*b + 38975. Calculate r(d(z)).\nAnswer: 136*z + 42851","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*o**2 - 22*o**2 - 3 + 5 + 13*o**2.\nAnswer: -105*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100320010 (base 4) to base 8.\nAnswer: 207004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/9, 6, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*h**2 + 19*h**2 - 50*h**2 + 113*h**2.\nAnswer: 193*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -1141\/24 and -49 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93973 is divided by 8405?\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*q, -s - 252 = 2*q - 0*q. Let t = 8450\/33 + s. Which is greater: 5 or t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-1\/2))\/v*v\/v**11)\/(v*v**1\/v*v**(-9\/4)) assuming v is positive.\nAnswer: v**(-33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 7 - 3 = 0. Let h be (-3)\/(-12) - 6*17\/408. Suppose 2*u + p*a + 1580025 = h, 0*a + 5 = -a. What is u rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8 + (-8)\/(8\/(-2)). What is the lowest common multiple of 18 and (-2)\/(1 + 9\/c)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -412 (base 8) to base 5.\nAnswer: -2031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 7 + 43. Let y(x) = x**3 - 3*x**2 - 7*x + 2. Let c be y(5). Let w = c + v. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -128, -139, -150, -161, -172, -183?\n\"Answer: -11*x - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 18 - 14*p**3 + (-3*p + p - p)*(-2*p**2 + 2*p**2 + 2*p**2))*(2 - 2 - 2*p).\nAnswer: 40*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 546, 974, 1254, 1386, 1370?\n\"Answer: -74*n**2 + 650*n - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*f - 6*f - 124 = 0, 2*h + f + 125 = 0. Let b(x) = -108*x**3. Let o be b(1). Let y = h - o. Is 15 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = 8*y + 146. Calculate the lowest common multiple of 77 and (16\/(-7) - y)*-14 - -17.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/8 + (-131088)\/(-384) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/15 (b) -1 (c) -4 (d) 0.1 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5 + 27 = 0. Calculate the highest common factor of 77 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.8 - -0.7. Let h = 16 + -23. Let m be -1 + 2\/2 + 6\/2. What is the nearest to b in h, 3\/5, m?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 422.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 116 = -0*a. Suppose 0 = 4*t + 34*b - 36*b - 564, 4*b = -3*t + 445. Calculate the remainder when t is divided by a.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 7*u + 710. Let v = -161 + 161. List the prime factors of i(v).\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 44 - 41766?\nAnswer: -41722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -3, -262374.\nAnswer: -262374, -38, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1.8 (b) -240 (c) -352 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 10675512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00070796 rounded to five decimal places?\nAnswer: -0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f - 8. Let h be n(-12). Suppose h*r - 2*m + 2 = 0, 0 = r + m - 2 + 4. Let u(l) = 3*l**2 - l - 1. What is u(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2774795 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/12)\/(400\/64)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*b**2 + 54*b - 46.\nAnswer: -2*(b - 1)*(4*b - 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 + -25. Suppose w + c = 5*w - 16, s = 4*c. Suppose 2*a = -j + 24, 0 = -w*j + j - 5*a + 87. Calculate the lowest common multiple of 6 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a day in minutes?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-1) - (-4 - -2). Let b be 182\/21 + z\/(-3). What is the first derivative of -2*m + b*m - m + 2 wrt m?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 739568 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97072 is divided by 1011?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -289*c**5 - 243*c**5 - 2*c - 277*c**5 + 469 - 66*c**5 + 81*c**5 wrt c.\nAnswer: -15880*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*i + 4*s - 1, -3*i = -2*s - 18. Is (0 - -166)*2\/i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 14.3.\nAnswer: -4.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 12*l - 3. Let v = -85 - -97. What is q(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 11 (c) -6 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 51.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) + -1)**2 + 3)*-6 - -5*sqrt(30)\/sqrt(6)*-1*-3.\nAnswer: -4344 + 159*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -5 + -10 - (1 + -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 7*k - 10. Determine r(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*k**2*u + k*u**2 - 32*k*u - 181*k - 2*u**2 + u - 26274 wrt k.\nAnswer: -10*k*u + u**2 - 32*u - 181","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 108930?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -74 * -29\nAnswer: 2146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.4 (b) -2.1 (c) 5\/3 (d) 3 (e) -1\/596\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, -4, 0.1, -10 in descending order.\nAnswer: 0.1, -0.04, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -224 (base 15) in base 9?\nAnswer: -587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 420 and 235770?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 1359 - 14721 = -3*s, 3*b - 8928 = -2*s. What is the smallest common multiple of 18 and s?\nAnswer: 13374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 4*j**2 - 2*j + 6. Let l(t) = 1. Let r(m) = -2*l(m) + y(m). Let b(d) = -d**2 - 6*d - 1. Let g be b(-7). Let f = g - -5. What is r(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15331619.\nAnswer: 15331619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 61*w**2 + 5*w**3 - 84*w**2 - 3*w**3 + w**3 - 2*w**3 + 2*w**3 + (-5*w + 3*w + 3*w)*(3*w - 3*w - 2*w**2) + 3*w**3 + w**3 - 5*w**3 + w**3 + 0*w**3 + 0*w**3.\nAnswer: w**3 - 23*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 2600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 259 - 239 = 0, 5*f = 2*n - 23 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -5*r - 34, 3*k - 747 = r - 751 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99815, 399255, 898317, 1597001, 2495307?\nAnswer: 3593235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**3 - h**2 - 5*h - 1. Let o be f(-2). Suppose d = 8 - 1. Let c = d + o. Let r(p) = p**3 + 4*p**2 + 3*p + 5. What is r(c)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1040)\/275 + 4)\/((-8)\/(-20)). Which is the fourth biggest value? (a) -3\/7 (b) k (c) 1 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (7 + -1) - 6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/4 + 24\/96. Solve -2*t + 5 + 5 = f for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -48*i + 1. Let c be o(0). Solve -9*h + 4*h - 1 = 3*p, p + h = -c for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(-3) - (-24)\/4. Suppose w*y = 5*j + 396, -2*j = 5*y - 4*j - 679. What are the prime factors of y?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 6*i**3 + i**2 - 2*i - 2. Determine m(-2).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0, -19, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198 = -276*j + 342*j. Solve 3*z + 5 = 4*y, -j*y - 35*z - 26 = -33*z for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 4*c + 2. Let o be r(3). Let b be (-1)\/(0 - o) - -2. Let k = -431 - -430.5. Sort k, -2, b in increasing order.\nAnswer: -2, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 972.141 centuries to months.\nAnswer: 1166569.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/15? (a) 0.2 (b) -5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -333.1, -3\/5, 0.5 in decreasing order.\nAnswer: 4, 0.5, -3\/5, -333.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 805 + -26563\/33. Suppose 4 = 4*o - 12. Suppose h = -3*h - 5*k + 10, 3*h + o*k - 7 = 0. Which is the biggest value? (a) t (b) 2 (c) h (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*q + 136*q = -122*q + 4636 for q.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5693?\nAnswer: 5693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1820\/16 - 5\/(-20). Suppose 21 = -3*n - s. Let w = 44 + n. Sort w, 4, 0, -3 in decreasing order.\nAnswer: 4, 0, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 - u - 28 - 29 - 25*u**2 - 1017*u**2 + 81 to o*u**2 + d*u + c and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9402 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -127702884, -255405769, -383108656, -510811545, -638514436, -766217329?\nAnswer: -893920224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 6. Suppose 20 = -k + 6*k. Let o be k\/(-2) + 0 + 5. Solve 2*t = -j*f - 8, -o*t + 6*t = 3*f + 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 22171, 44371, 66585, 88813?\n\"Answer: 7*f**2 + 22179*f - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 916, -1, -0.04, -0.3 in descending order.\nAnswer: 916, -0.04, -0.3, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 1047*y - 3777. Determine o(4).\nAnswer: 411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000403716828 rounded to seven decimal places?\nAnswer: -0.0000404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4443 - 45320?\nAnswer: -40433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1216183*i*w**5 - 5*i*w**2 + 39*i + 32*w**6 + w + 53 wrt w.\nAnswer: 72970980*i*w**2 + 3840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*l**2 + 2*l**2 + 2*l**2 + 3*l**2 as a + x*l + i*l**2 and give i.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.2 - 6.4. Let z = -8.8 - h. Let o = -55.5 + z. What is o rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -277 - -325430?\nAnswer: 325131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -7*o**3 - 7*o**2 + 45*o - 5. Let h(q) = -q**3 - q**2 - 1. What is -5*h(a) + k(a)?\nAnswer: -2*a**3 - 2*a**2 + 45*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 5*n - 2. Let q be b(-8). Solve 4*y = 4*m - 36, q = 3*m - m - 3*y for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0 (b) 8.4 (c) 1 (d) 0.4 (e) 162\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -878*n + 40. Let h(u) = 583*u - 28. What is 7*h(s) + 5*k(s)?\nAnswer: -309*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - y + 1. Let k(t) = 6*t**2 + 9*t - 7. Let u(m) = k(m) + 5*s(m). Let j be u(-4). Is (j\/2)\/(2\/(-42)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n + 0*n - 3*n + (-3 + 3 + 1)*((-4 - 3 + 4)*(n - 3 + 3) + 6*n + 8*n - 6*n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*z - 11*z**2 + 37*z + 50*z - 122*z.\nAnswer: -11*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -520 = 61*k - 18*k + 9*k for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 12, -2, 180 in increasing order.\nAnswer: -3, -2, 5, 12, 180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/2)*l**(-2) assuming l is positive.\nAnswer: l**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 2*v - 8, 10 = -6*f + 9*f - 4*v. Solve 0 = 4*r - f - 10, -4*r = m - 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*a**3*c - 1229088*a**3 - 4*a**2 + 2730909*a*c + c wrt a?\nAnswer: -120*c - 7374528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1558139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/23)*h**(10\/9) assuming h is positive.\nAnswer: h**(212\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -873 + 1616. Calculate the remainder when q is divided by 34.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*j - 39*j - 174 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -2255?\nAnswer: 2255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 4*y + 7. Let v be q(-5). Let r(i) = i**3 - i**2 - i + 4. Let g be r(0). Suppose -73*d + 103*d + 90 = 0. Sort g, v, d in descending order.\nAnswer: g, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/(7\/((-56)\/12)). Which is the third biggest value? (a) -5 (b) -1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/(-36) + (-778867)\/(-171)?\nAnswer: 5, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6012127098 to the nearest integer?\nAnswer: 77538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -1461*i + 1459*i, -5*m + i = -7 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -12*i**5 + 2463*i**4 - 5439*i**3 - 8634*i**2 + 21948*i - 4872 = 0.\nAnswer: -2, 1\/4, 2, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 61*g**3*p + 12*g**3 + 261*g**2*p + 203*g**2 - 2*g*p + 6*g - 8*p + 21 wrt p?\nAnswer: 61*g**3 + 261*g**2 - 2*g - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -o - 19. Let a(u) be the second derivative of 1\/6*u**4 + 1\/6*u**3 + 0 + 1\/20*u**5 + 2*u**2 + 24*u. Calculate a(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 119?\nAnswer: -5\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - 11. Let h be (-27)\/w + -3 + 1. What is the second biggest value in -5, 5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*k + 20*k = 60*k + 73*k + 1255 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 3*w - 3*w)*(2*w + 0 + 2 - 3*w).\nAnswer: 3*w**2 - 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 987219.1 litres to millilitres.\nAnswer: 987219100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 5 + l**2 + 1 - 3 + 14*l + 2. What is the units digit of r(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/3 - 2 - 2. Suppose g + 5*h - 25 = j, -g - 2*g + 2*h + 58 = 0. Suppose 5*v + 5*c = 55, 4*v - g = -0*c + 4*c. Sort v, 0.1, -5 in descending order.\nAnswer: v, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three tenths of a minute?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 4. Let n = -0.7 + -9.3. Let y = n - -10.04. Which is the third smallest value? (a) y (b) d (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21768 divided by 4.\nAnswer: -5442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**3 + 7*z**3 - z**3 + (-2 + 2 + z**3)*(-3 - 1 + 2).\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n + 6*n + 4*n**3 - 4*n**2 + 19*n**3.\nAnswer: 23*n**3 - 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((20\/275)\/2)\/((-69)\/(-23)*2\/(-30)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -55. Suppose -5*g + r + n = 0, 3*g - r + 12 = 44. Suppose 0*m - m = -g. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + -3*sqrt(448)*1 + (sqrt(448) - 1*(sqrt(448) - (-2 + sqrt(448)))) + 1)**2*-3.\nAnswer: 1920*sqrt(7) + 27120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m + 3 - 3)*(-4 + 2 - 2)*(38*m - 35*m - 17*m) to x*m**2 + s + g*m and give x.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2322 + 3*y + 2322.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1631851.6 + 12045?\nAnswer: -1619806.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30.267 + -28.267. What is the nearest to -1\/4 in q, 0.4, -17, -3\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*j**2 - 11*j + 2*j - 9*j**2 - 69*j**3 + 2*j**4 - 5 + 10*j as y*j + n + x*j**2 + c*j**3 + m*j**4 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 443561.4ml in litres?\nAnswer: 443.5614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*s + 5*v + 7, -v = -3*s + 2. Suppose s = -r - 3*d - 3, -4 = -5*r - 2*d + 6*d. Factor r + 0*z + 2\/5*z**4 - 2\/5*z**3 + 0*z**2.\nAnswer: 2*z**3*(z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*(-12)\/36*3\/14.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c. Suppose 2 = 5*u + 7. Calculate the smallest common multiple of 12 and y(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264931 = l + 2*y, l = 21*y - 26*y + 264904. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + -261)\/4 + 2*-1. Let u = -63 - g. Solve -5 = u*s + 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 23*c + 175. Let k be l(-8). Suppose -3 = -x + 3*y + 14, -3*x = 2*y - 7. What is the second biggest value in -2\/3, x, 1, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374260703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 18 - 8\/6.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of v**5\/15 + 5*v**3\/6 + 2*v**2. Let u(s) = -9*s**2 - 11. Let g(y) = 5*o(y) + 2*u(y). What is the derivative of g(f) wrt f?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 334*w + 667. Calculate h(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i - 972 - 971 + 1943 + 2*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-27)\/l*l*l**(1\/63)*l\/l**(-32)*l*(l*l*l**21\/l*l)\/l)**(15\/2) assuming l is positive.\nAnswer: l**(4570\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.48599g in kilograms?\nAnswer: 0.04448599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*u + 13. Let s be u - 3\/2 - (-1)\/(-2). Suppose 0 = 3*g - 6 - 3. Solve g = b - s*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 960384 to the power of 1\/2, to the nearest integer?\nAnswer: 980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = 2*o + 18. Does 16 divide 4*(188\/8 + o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -28 and -0.29.\nAnswer: 8.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -298 - -300. Let l = 1 + 7. Let h be (1\/6)\/(l\/(-36)). Which is the biggest value? (a) r (b) h (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + -4. Let n = -7.7 - q. Let p = 6 - 5.6. Sort p, -1\/7, n in decreasing order.\nAnswer: p, n, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3)\/((r*r**2*r)\/r*r)*(r*((r*r\/r**5)\/r*r)\/r)\/r**(-5))\/((r*r\/(((r\/(r\/(r\/r**(-1)*r*r)))\/r)\/r)*r*r)**(-43))**(1\/17) assuming r is positive.\nAnswer: r**(1\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -239494965*c**2 + 101278496 wrt c?\nAnswer: -478989930*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -613328.4 rounded to the nearest 10000?\nAnswer: -610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*y - 324 = -0*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 21 - 122993*s - 44.\nAnswer: -122993*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38733 or 52.05?\nAnswer: 52.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 4 - 2 - -4. Suppose -4*s = -3*s - f. Suppose 30 = -o + s*o. Calculate the lowest common multiple of o and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*q**2 - 1143*q + 1145*q + 11*q**2 + 1444 + 12*q**2 + 31 in the form u*q**2 + j*q + n and give n.\nAnswer: 1475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -1, 93, 0, -12, 168 in increasing order.\nAnswer: -12, -4, -1, 0, 5, 93, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 146676 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 893 - 40*k + 8*k - 929. What is the tens digit of i(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 13 - (-1 - 2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (67\/(-227))\/((-105)\/330) - (-84)\/(-98). Which is greater: v or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + (sqrt(175) - (0 + sqrt(175) - sqrt(175))))**2 - (-1 + sqrt(21)\/sqrt(3)).\nAnswer: -sqrt(7) + 701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 17 + (2 + -2 - 2). Let c(f) = -f**3 + 15*f**2 + f - 5. Let i be c(m). What is the second derivative of 5*r**4 - 4*r**4 + 5*r + i*r**4 - 13*r wrt r?\nAnswer: 132*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53 - -210. Let t = u + -153. Solve -2*b - 16 = 5*k, k + k = -t*b for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**3 - 110642*d**2 - 11044782*d - 32138622 = 0.\nAnswer: -55221, -97, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74677 is divided by 1280.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5266 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 16*x - 13. Let c be g(14). Let j = c + 17. Let q = j + 38. Calculate the remainder when 39 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + c = 34, 5*i - 46 = -4*c + 2. Let a(t) = -t + 10. Let h be a(i). Let z(y) = -y**2 - 7*y - 5. Let v be z(-6). Do h and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of y**2\/2 + 3*y + 1. Let b be z(-3). Suppose b = -9*n + 4*n. Are n and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7814*h + 3881*h = -3911*h - 374 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -120, -1322, -4720, -11454, -22664, -39490?\n\"Answer: -190*h**3 + 42*h**2 + 2*h + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.073904 in -44, -3\/5, 4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 425*o**2 - 2 + 12 - 25 + 20 to z + w*o + c*o**2 and give c.\nAnswer: 425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 169*b + 1173. Let z be a(-7). Sort -1, 8, z, 4, -3.\nAnswer: z, -3, -1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four thirds of a hour in minutes?\nAnswer: 1480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 8*j = 4*j - 40, 2*q - 5 = 3*j for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4515*c**2*i**2*o**2 - 2*c**2*i**2*o - 4*c**2*i**2 + c*i**2*o + 48*c*i**2 + c*i*o + c*o + 1629*o**2 - 11*o wrt o?\nAnswer: 9030*c**2*i**2 + 3258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + 3\/(-12)*-4. Suppose 16 = -4*o, c + 4 = x - 2*o. Suppose x = 2*y - 2*s - 110, -2*y - 9 = -4*s - 119. Is y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k - 3. Let l be v(5). Suppose 2 - 16 = l*x. Let y(c) = -c**2 - 6*c + 13. Let j be y(x). Solve -4*q + 7*q + 4*u = 3, 0 = 3*q + u + j for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/((-20)\/8) + 234\/(-3). What is the common denominator of (0 - -1) + (21576\/l)\/29 and (-1 + 39)\/((-40)\/25)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from zzbbbbzzzbbbzzbzbzz?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 38571507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1606, 3211, 4818, 6427, 8038?\nAnswer: 9651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-17)*(q**(2\/5)*q)\/q*q**(2\/3)\/((q**(-1\/7)*q)\/q))**(-24) assuming q is positive.\nAnswer: q**(13264\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 140*l + 125*l - 18 = 0, 4*l + 58 = -3*b for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - n + 1. Let t(h) = 2*h**3 + 2*h**2 - h + 3. Let c be 6\/12*4\/2. Determine c*t(v) - l(v).\nAnswer: 2*v**3 + v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c**(-1\/2)\/c)\/c))**13\/(c\/(c**(1\/4)\/c))**(-22)*((c\/c**(-4)*c)\/c*c\/(c**(-6)*c))\/(c**(2\/7)*c)**2 assuming c is positive.\nAnswer: c**(647\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*s**2 + 52*s + 60.\nAnswer: -4*(s - 3)*(6*s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 14*f**2 + 19*f - 21. Let h(p) = p**2 - 14*p - 17. Let t be h(16). What is the tens digit of j(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 4*j**2 - 11*j + 9. Is i(-8) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + (6 + (-1 - 7) - (-2 - 10 - -6))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1203 divide 3929022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 145 + 21 = -20*z, 29 = v - 7*z + 73 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 d when four letters picked without replacement from {d: 3, v: 15}.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 468 and 689949.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(-45) - 149429\/(-630). Is x smaller than 237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, 0.3, 27, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -6. Let h(o) be the third derivative of 3*o**4\/4 + o**3\/6 + 2*o**2. Let n be h(u). Calculate the highest common divisor of 13 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.31013 rounded to 0 decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nni when three letters picked without replacement from {n: 7, z: 9, i: 3}?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 525\/2827 + -1\/257. What is the closest to -0.2 in 4, h, -2\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -l**4\/8 - 4*l**2 - 2. Let q(c) = -2*c**2 + 177*c. Give u(q(r)).\nAnswer: 6*r**2 - 531*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 68 = -3*c. Let u = c - 25. Let w be (u\/14)\/((-3)\/21). Solve -3*j + 14 = -5*z, w*j - 2*j = 2*z + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**5 + 1154*h**4 - 3945*h**3 - 25300*h**2 - 31068*h - 10864 = 0. What is h?\nAnswer: -388, -2, -1, -2\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 9:38 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 275094601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t**3\/6 + 5*t**2\/2 + 14*t. Let s be i(-5). What is the third derivative of s*p**6 + 0*p**6 + 4*p**2 + 11*p**6 wrt p?\nAnswer: 1320*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -16*p. Let h(x) be the first derivative of 3\/2*x**2 + 0*x - 26. What is a(h(z))?\nAnswer: -48*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/4*(-510)\/(-27). Are -28 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43846 - 46086.1. What is h rounded to the nearest 10?\nAnswer: -2240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -10. Let r be (-21)\/7 + 2*x. Suppose -r*u - 7 = 13, 2 = 5*q + 2*u. What is the remainder when 3 is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -15*c - 12 - 4*c**2 + 25*c**2 - c**3 - 5*c**2. Let z be ((-18)\/15)\/((-3)\/(-10)) - -19. Determine a(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -88*f**2 - 2*f. Let l(v) = -5633*v**2 - 129*v. What is 129*i(r) - 2*l(r)?\nAnswer: -86*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/3830 - -13153\/231715. Calculate the common denominator of -68\/605 and q.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-368)\/(-24))\/(3 + (-159)\/54). Let q = x - 264. Solve -q*j = -3*j + 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-7))\/((61\/((-13664)\/(-64)))\/2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(704) + -2)*-5)**2 - (1*(-2*sqrt(1584) + sqrt(1584)))**2.\nAnswer: -7200*sqrt(11) + 157716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3 - 3717*h**2 + 33672*h - 29952.\nAnswer: -3*(h - 8)*(h - 1)*(h + 1248)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 2)*(-5 - 2 + 11 - 1 + 1 + 1 - 2 - 2 + 2 + (4 - 2 + 0)*(1 + 1 - 1))*(2 - 2 - 2*s).\nAnswer: 30*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jitijijjtwjjiwjwili. What is prob of picking 3 j and 1 t?\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 61, 70, 89, 124, 181, 266?\n\"Answer: z**3 - z**2 + 5*z + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53.8 + 54. What is the smallest value in 6, -3, 0.07, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n + 0*n + n + (-2 + 1 + 2)*(-8*n + n - n) + 2*n + 13*n + 2*n.\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 6*a - 50. Suppose 3*j + a = -2*j. Suppose 5 = i + 4*p - 11, 0 = -5*i - 3*p + 12. Sort i, 2, j in descending order.\nAnswer: 2, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 42, -33, -21, -3\/5, 3?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14412 is divided by 553.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 6*u**2 + 7*u + 3. Determine k(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 c, and 1 j when three letters picked without replacement from {b: 3, j: 3, h: 9, c: 2}?\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(-358 + 5716 - 271)*(0*d**5 - d**5 + 2*d**5).\nAnswer: 10174*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228)*-2 - sqrt(228))*-4 + (sqrt(228) - (sqrt(228) + -6*(sqrt(228)*-2 + sqrt(228)) + sqrt(228))))\/(sqrt(768)*-4 + sqrt(1728)*2 + sqrt(1728)).\nAnswer: 5*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.14 - 0.012. Let x = -0.052 - i. Which is the biggest value? (a) 4 (b) -1 (c) -2 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lhoolhoooloozhll. Give prob of picking 1 z and 1 l.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (10 - 0) - -3. Let f(i) be the third derivative of -i**7\/5040 - i**6\/120 - i**5\/30 - i**2. Let b(t) be the third derivative of f(t). What is b(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -1. Let y = 0.137 + -0.137. Let n = -241.96 - -242. Which is the nearest to y? (a) n (b) -0.1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 662.\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*g + 8170 = 6826 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 8*g**5\/7 + 25458*g**4\/7 + 27023644*g**3\/7 + 9588815120*g**2\/7 + 21451771200*g\/7 + 4764064000\/7 = 0.\nAnswer: -1060, -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (624\/(-117))\/16*3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*i - 26 = -114*i. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/(-243) + (-15993)\/(-105948) and 34\/15?\nAnswer: 6540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3201 is divided by 95?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 199 divide 27731219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 307536 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + 5 + -7)\/1. Solve c = -i + 3*q - 0*q - 1, 0 = 3*i + 5*q + 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 12 = 3*j, -3*x + 4*j - 2 = -6*x. Let y = x + 4. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 121232.199.\nAnswer: 121227.199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 134 in 30, 0.1, -5, 8\/373?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/27)\/(a*a*(a*a**(2\/3))\/a*a*a)*(a\/a**(-5))\/a**7)\/(((a\/(a\/a**(-1\/4))*a)\/a)**(-28))**(14\/9) assuming a is positive.\nAnswer: a**(-445\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n - 3*n + 0*n)*((10 + 0 - 5)*(1 - 1 - 2) + 4 + 9 - 10) to the form k*n + f and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -216, -425, -636, -849, -1064?\nAnswer: -1281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*g + 3 = 31*g. Suppose -4*w**g - 14*w**2 + 23*w**2 + 23*w**2 = 0. Calculate w.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - m. Let i = 8 + -8. Suppose -10 = -5*z - i. Calculate o(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in 0.1, 4, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 509267\/684 - 14226\/19. What is the common denominator of b and -67\/48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 195\/63 + 8\/84*-1. Suppose -3*z - 4 = 2*m + 6, -g*z + 5*m = 38. Let h(q) = -q**2 - 8*q + 11. Let p be h(-9). Put p, 3, z in decreasing order.\nAnswer: 3, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 14\/85, 2, 3791?\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-68)\/(-20) + 4\/(-10). Suppose 0*f + 28 = m*z + f, -2*f = -3*z + 25. Differentiate 4*b**3 + 2*b**3 + b**3 + z with respect to b.\nAnswer: 21*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, h: 7, o: 5, b: 2}. Give prob of picking 4 o.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.37417 grams to kilograms.\nAnswer: 0.04237417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83636, -341134, -770298, -1371128?\nAnswer: -2143624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 45727659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*h + 35 - 8 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/59732 and 109\/3836.\nAnswer: 418124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6 + 1 = 0. Let u = 25 + c. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 6281\/194320 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - d**2 + d + 9. What is the lowest common multiple of o(-2) and 13?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 370 and 222.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(833) + sqrt(833)*-1*-1 - (sqrt(1088) - (sqrt(1088) - (sqrt(1088) + -1 + 4)))**2.\nAnswer: -1097 - 34*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, a: 1, o: 2}. Give prob of sequence do.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24.3 at least as big as -2098?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 313223303322?\nAnswer: -313223303333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21300 - 4?\nAnswer: 21263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1155*z - r + 10 = 1152*z, 1 = r - 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 26*(-7 - 187\/(-22))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/121 in 0, -15, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0*x*x*x)**(1\/6)\/(x*x**(-2\/7)*x)**(-41) assuming x is positive.\nAnswer: x**(991\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 901?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -972.402251 to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 9*l**2 - 7*l + 83. What is the least common multiple of 18 and k(8)?\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -l - 3*a + 2, a = 0. Suppose -2*t + g + 3 = -l, 4*t = 5*g + 1. Suppose -x - t*i - 15 = -2*i, 0 = i + 5. Let s(k) = k. Calculate s(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56880.3 - -56881.3000025. Let t = -0.8 - 0.2. Let o = y + t. What is o rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 2*m = 6*g - 24, 0 = 5*g - m - 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27482.\nAnswer: 2, 7, 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*((-35)\/14)\/((-70)\/112).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -1. Let s(j) = -j**2 - 7*j - 4. Let q be s(-2). Let t(u) be the third derivative of 0 + u**3 + 0*u + 4*u**2 + 1\/12*u**4. Determine q*v(m) + t(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 199, 448, 795, 1240, 1783, 2424?\nAnswer: 3163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2339482 and 23?\nAnswer: 53808086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -135, -258, -389, -510?\nAnswer: -603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 19*o - 21. Give t(3).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5 = a, -3*a + 7 = 2*a - 4*z. Suppose 21 = a*x - 120. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2048 divided by -512\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 3*l. Suppose -3*o - 4*s - 24 = 0, 2*o - 4*s + l = 4. What is the units digit of 10 - o\/8*-2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-3)\/m**(3\/5)*(m**(1\/2)*m)\/m**3*(m\/m**(1\/3)*m)**(-2\/161)\/((m\/(m**(-1\/4)\/m)*m)\/m)**(-33) assuming m is positive.\nAnswer: m**(667789\/9660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 221\/(-1768) + (-25)\/(-8). Solve -213 - o = 27*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7935 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125*-234.\nAnswer: -29250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 464490?\nAnswer: 2, 3, 5, 13, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 10. Suppose 0 = 4*a - 0*a - z. What is the units digit of 1 - (-10 + a) - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -865.5 + 865. Let z be (-16)\/(-24)*(-3)\/8. What is the nearest to z in p, 1, -1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -0*y, -d + 5*y = 52000. What is d rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (104\/(-130))\/((-3)\/15). What is the second derivative of -159*w**s + 471*w**4 - 240*w - 252*w**4 - w**2 wrt w?\nAnswer: 720*w**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -21700, -21698, -21694, -21688?\n\"Answer: x**2 - x - 21700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-76)\/190)\/((-3)\/(-18))\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13564\/9 + 1507. Which is the third biggest value? (a) l (b) 0.2 (c) 7 (d) 14 (e) 0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 240 - 16*d - 2*d - 245 + 2*d.\nAnswer: -16*d - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 11*d + 282. What is a(-26)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3113650368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f**2 - 214*f - 20*f**3 + 109*f + 105*f.\nAnswer: -20*f**3 - 8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 162, 168, 178, 192, 210, 232?\n\"Answer: 2*v**2 + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 361284 and 276?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h + 5. Suppose -t + 4*t = 24. Let r be v(t). Let s(m) = -2*m**2 - 4*m - 1. Determine s(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0053 in -2, -1\/8, -92, -0.4, 5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4 = -0. Suppose 3*x - 2 = -b*t, -5*t = -0*t + 2*x - 27. Suppose t*o - 9 = 4*o. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189*j + 190*j + 13 = 0. What are the prime factors of 2\/j + 2\/(-156)*-48606?\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {e: 3, n: 1, s: 1, w: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-21)\/(-9) - (-6)\/(-18). Let w(s) = -s**3 + 6*s**2 - 1. Let f be w(6). Sort f, z, 0 in descending order.\nAnswer: z, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 6*v + 3. Let m be y(-6). Suppose -288 - 324 = -m*u. What are the prime factors of u?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102160145.\nAnswer: 5, 37, 552217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-25))\/((-2)\/20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 280 and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*p = 20*p + 5335. Solve -p*b = -489*b - 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -16456\nAnswer: -16446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -7*g**3 + 1401*g**2 - 198*g - 456. What is q(200)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001242527544 rounded to 5 decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 0*g + 13 - 2\/3*g**3 + 2*g**2. Let q(f) = -f. Let t(z) = k(z) + 4*q(z). Let y(d) = -4*d**2. Calculate t(y(s)).\nAnswer: -32*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11834177381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 10:21 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + 1 - (-274 + 292)) + 14 - -57.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/5 (b) 1\/5 (c) -277 (d) 0 (e) -362\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3127 is divided by 262?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 3 + 27 - 9 - 5*x - 11.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/7 (b) 0.2 (c) 7 (d) -103 (e) -21688\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -12*r**2 + 4*r - 6. Let t(w) = 23*w**2 - 7*w + 11. Let a(u) = -11*c(u) - 6*t(u). Let o(y) = -y**2 - y. Let n(f) = a(f) - 4*o(f). Calculate n(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 8*j**3 + 62*j**3 + 3*j - 10*j**3 - 3. Let x be v(1). Suppose y = -3*s + x, 3*s = -5*y + 1 + 59. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1649\/119 - 14) + 26\/(-14). Let j(q) = -122*q - 46. Let p be j(c). Calculate the greatest common factor of p and 264.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -282, -287, -294, -303?\nAnswer: -314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 9:39 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 12. Let u(k) = -25914*k. What is v(u(n))?\nAnswer: -671535396*n**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/5, 2\/9, -8?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*l = -60. Calculate the remainder when 8\/80*8 - (-231)\/5 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 42*s + 37*s + 599, 0 = 3*o - s - 611. Let f = o - 164. Does f = 350\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 2*z = -2*f - 580, 3*f = 4*z - 910. Let l = f + 300. Determine v so that 0 - 1\/8*v**l - 3\/8*v = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (3\/(-54))\/((-2)\/(-28)) and 29\/11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 55490303, 55490298, 55490293, 55490288?\n\"Answer: -5*l + 55490308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -17.2. Let h = i - -3. Is h at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -245*k**2 - 244*k**2 + 488*k**2. Let b(v) = 12*v**2 - 21*v. Let j(h) = 3*h**2 - 5*h. Let d(t) = 5*b(t) - 21*j(t). What is s(d(a))?\nAnswer: -9*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -696.36 + 696.35927383. What is j rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29114061*h + 29113973*h = 1056 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 546628.\nAnswer: -1639884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 27043351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 2:46 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -31337237.\nAnswer: 5\/31337237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/6)\/(594\/324).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 11\/2 of a micrometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*a + 18*a - 116 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 231840 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and (-96)\/(-10) - 8\/(-20).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 61 and 8.\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/(-150)*(-1440)\/(-2800).\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (68\/(-17))\/(18\/1107*6)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - (2 + 4 + -3). Let u = p + 2. Let r(n) = u + n - 2 + n. Let i(d) = d. What is r(i(c))?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 982645\/2372 + -11\/593. Let r = u - 419. Calculate the common denominator of (-2)\/11 - 854\/(-220) and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21367165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100541 (base 7) to base 14.\nAnswer: 6321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4)\/(j**(-2\/3)\/j)*(j**2)**(-5))\/((j**0*j)**(-2\/3)\/(j\/((j\/j**(3\/2))\/j)*j*j*j**(-6\/5))) assuming j is positive.\nAnswer: j**(-251\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1170832 by 4.\nAnswer: 292708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 255\/(-19040)*-96*-56?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2318.28 to zero dps.\nAnswer: -2318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*u + 375 = -55*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 8.405648g?\nAnswer: 0.000008405648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -123 + 3155043?\nAnswer: 3154520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45190*s - 37176*s = -1073876 for s.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 857867.\nAnswer: 857867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*c - 14*c + 323860810 = 59*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -n**3\/2 + 33*n**2\/2 - 108*n + 2. Factor m(k).\nAnswer: -3*(k - 18)*(k - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, k: 12}. Give prob of sequence koo.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 60602469119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1122 or -1121?\nAnswer: -1121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (51\/(-34))\/(3\/(-4)). Solve l*i + 1 = -1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 4*b = -m - 215, 4*b - 225 = -m. Is 11 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-2) + 3\/2. Suppose -3*s - 2*s - 15 = -n, 5*n = -w*s - 6. Solve n = t - 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(-28)\/(-16)*12\/14. Find the second derivative of -11*m - 3*m - 13*m - 27*m**w wrt m.\nAnswer: -162*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/3))**(-2\/53)*(m**(2\/9))**(-6\/13) assuming m is positive.\nAnswer: m**(-160\/2067)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 4:11 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.09, -2\/1037, -0.1, 4\/19, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.1 at least as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -49 + 19 + 19 + 9 - 784*t**2 - 947*t**2 in the form o*t + y*t**2 + g and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -806 = -35*i + 139. Calculate the greatest common divisor of 2 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29727469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 80843 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 12*l + 8*l**2 - 33*l**2 + 18*l**4 - 2 - 4*l**3 + 9*l**2 - 8*l**5 = 0?\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 17*n - 569. Suppose -1 - n = -5*m. Let w be (-6 + m)*17*1. Is w < 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*u - 3*u - 84. Let r be (u\/4)\/(4\/(-90*8)). Calculate the highest common divisor of 27 and r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 37\/48, 3, -0.1741?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 1 = 0, 4*q + 866 + 797 = -3*w. Let g = 417 + q. Find m such that -2\/13*m - 2\/13 - 2\/13*m**4 + 4\/13*m**g - 2\/13*m**5 + 4\/13*m**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144\/9 greater than 128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*h - 39*h + 3*h + 54*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -495061238, -990122477, -1485183716, -1980244955, -2475306194, -2970367433?\nAnswer: -3465428672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41.023 + 9.523. Let y = -33 + 2. Let m = y - z. Which is the closest to -3\/5? (a) -2\/3 (b) m (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23.4 + -27. Let m = -3.639 - j. What is m rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(6\/(-25)*(-5)\/15). Which is smaller: j or -95\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2390985376 to the nearest integer?\nAnswer: 48898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, i: 6, d: 1, z: 1, k: 6}. What is prob of sequence iki?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(2057) + (sqrt(119)*-1)\/sqrt(7) - (-1*sqrt(833) + -3)**2*-2.\nAnswer: 116*sqrt(17) + 1684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-234)\/104*-6)\/(5*3\/30).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15464 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in -5, 2\/19, 5, 0.4, -21?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u. Let n(g) = -7*g. What is -8*a(i) - 3*n(i)?\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 5 = -5*r, 0*r - 5*k - 45 = 5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -731*j**3 + 731*j**3 - 24*j**5 + (-2*j + 2*j - j**2)*(4*j - 4*j - j**3) - 2*j**5 - 2*j**2 + 2*j**2 + 6*j - 4*j**4 + 5*j**4 - j**5 + 0*j.\nAnswer: -26*j**5 + j**4 + 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 - -41. Suppose -2*h + 0*h + 28 = 0. Suppose -5*i + 20 = 5*j + 5, 0 = -3*j + 2*i + h. Calculate the remainder when f is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.059 - -3.941. Which is the third biggest value? (a) 0 (b) 0.2 (c) -0.4 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1696 and -1696 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 11 = -4*r + 1, -5*r + 15 = -3*q for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 270257791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -335577 by -11.\nAnswer: 30507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**45*w**(8\/7)*w)\/(w\/(w*w\/(w**(3\/28)\/w*w))*w**(-13\/6)) assuming w is positive.\nAnswer: w**(4301\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2460914 centuries to years.\nAnswer: 24.60914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*7*(-3 - -2). Let p be 2\/y + 64\/28. Let r(s) = s**2 + 3. Let b be r(0). Put b, -3, p in ascending order.\nAnswer: -3, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02605152 to 3 dps.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, e: 6, a: 10}. Give prob of sequence aded.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a year in months?\nAnswer: 57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39\/191 or 0?\nAnswer: -39\/191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 14*u**5\/45 + 20*u**4\/9 + 16*u**3\/3 + 32*u**2\/9 - 32*u\/9 - 112. Factor d(f).\nAnswer: 2*(f + 2)**3*(7*f - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 107000 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 23. Let w be v(-5). Solve w*i = -2*q, -2*i - 6 = -q - i for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -7 - (0 - (-1 + 6))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (0 - (2 - 2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 181914324\/17 greater than 10700843?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**2\/9 + 799508596*g\/9 + 79901749384736402\/9 = 0 for g.\nAnswer: -199877149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 5 + 20. Let k be (-5)\/(-2)*(-1758)\/s. Let f = k + 745. Round f to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318 a factor of 1361180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**4 - 2*o**4 - o**4)*(-3 - 6 - 11).\nAnswer: 60*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + -5)*(-496)\/(-24)*(1 - 3\/12)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34180.3609 * 5.\nAnswer: 170901.8045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1060 and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -n*w**3 + 32038*n - 38623*w**3 wrt n?\nAnswer: -w**3 + 32038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 8*r - 29. Which is smaller: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/90 and 193\/330.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 19712.457 months?\nAnswer: 16.4270475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-2))**(-49)\/((s*s**(2\/7))\/(s*s**(-4)))*s**6*s*s*((s\/s**6*s)\/s)\/s*s*s*((s*s**(-1\/3))\/s)**(11\/4) assuming s is positive.\nAnswer: s**(4015\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 3:51 AM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8*10 - 3\/2*-2. Let j be ((-894)\/(-24))\/(1\/4). Let q = j - w. Is 22 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 13*g**2 + 3*g - 17. Suppose -k + 42 = 2*k. Calculate the lowest common multiple of k and v(13).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 127 + -48. What is the remainder when 44 is divided by 1 + 16 + -84 + z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*(5*((sqrt(1792) - (3 + sqrt(1792)))*-2)**2 + -5).\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 * -3175.\nAnswer: -31.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 x when four letters picked without replacement from {x: 3, l: 1, n: 12}?\nAnswer: 99\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-255)\/(-3)*(-119)\/(-595)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -86 - -85.6. Let f = 4 - 2. Which is the third biggest value? (a) 0.1 (b) u (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 6:04 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k**2. Let u(h) = -3*h**2 + 5*h**2 - h**2. Determine t(u(z)).\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 + 26. Let z = 0.25 - -0.05. Put t, z, -1\/2 in increasing order.\nAnswer: t, -1\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 107*l - 84 = 111*l, -p + 5*l = -84. Calculate the lowest common multiple of 48 and p.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -6*r + 14. Let j be n(1). Solve 0 = -3*u + j - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 16*j**2 + 37*j - 5. Let q be d(-14). Let t = -54 - -211. Let y = t + q. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.11 - 0.11. Let d = m + -3. Let q = -0.1 + -0.9. Which is the closest to 1? (a) -0.3 (b) d (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -41862*a**4 - 630*a**2 + 133531045.\nAnswer: -167448*a**3 - 1260*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/10 - 634470\/(-150). Calculate the remainder when 186 is divided by (((-9)\/(-2))\/(-3))\/((-135)\/j).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -2 - (-12 + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + i = 10. Find d such that 4*d**i - 2*d**3 - 4*d**2 + 2*d = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -8*j**2 + 12*j + 4. Let c(f) = -15*f**2 + 20*f + 7. Let m = 22 + -27. Let v(s) = m*o(s) + 3*c(s). Determine v(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50)\/8)\/((-39)\/(-182)*28\/(-24))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 149 + -159. Calculate the least common multiple of ((-5)\/b)\/(4\/320*2) and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/72 and -137\/131760?\nAnswer: 131760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, v: 4, w: 1}. What is prob of sequence wv?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 140 - -103?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -348*0.647\nAnswer: -225.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + 2*z**2 + 3*z**2)*(194 + 207 - 370 + (3 - 3 - 2)*(2 - 1 - 3)).\nAnswer: 140*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4430169 and 49320.\nAnswer: 1233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8189, -16375, -24561, -32747, -40933, -49119?\n\"Answer: -8186*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 2*r - 2*r)*(4 - 5*r - 4) + 0*r - 2*r - r**2 + 3*r.\nAnswer: -11*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 191083?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.5 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 277260 + 78792 - 64848 = 6*g. List the prime factors of g.\nAnswer: 2, 3, 8089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -260, -261, -262, -263, -264, -265?\n\"Answer: -z - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3*c - 14 = -69, 4*c = 0. What is the remainder when 52 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from rfrrrrfrrrrrrrrrrr?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 1. Let i(z) = -14 + 10*z + 4*z**2 - 66 - 27*z - 3*z**2. Let u be i(21). Put w, u, -1, 3 in ascending order.\nAnswer: -1, w, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 140390068 and 28845.\nAnswer: 140418913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.931664 decades in months?\nAnswer: 951.79968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4740 = 59*b + 40*b + 9*b + 1284 for b.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-383 - 489 - 1675 - 1683 + 257)*(0*q**2 + q**2 + 0*q**2) to i*q + n + g*q**2 and give g.\nAnswer: -3973","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 165616 or -2\/27?\nAnswer: 165616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1924 divided by 962?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*q - 4, 0 = 3*q - 4*o + 8*o - 14. Put 1, -1, q, 9 in increasing order.\nAnswer: -1, 1, q, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-14))\/(3\/7)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/497118 and 37\/42?\nAnswer: 3479826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.28 - 4?\nAnswer: -6.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i*o**3 - i*o - 3*i - 86*o**5 - 63*o wrt o?\nAnswer: 12*i*o - 1720*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -401 + 410. Calculate the remainder when 88 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*k**3 + 8*k**2 - 3*k**2 + 5*k**2 + 18*k**2 wrt k.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 - 40. What are the prime factors of 123 - ((-4 - (k + -1)) + 4)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*k - b, 2*k - 3*b = 4 + 9. Suppose 0*c = -k*c + 266. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (2 - -1) + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -2712 and -3354 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 5 - -2) + -3 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-26)\/(-6))\/(-3*(-4)\/(-36)). Let y(h) = -h**2 - 14*h + 8. Let z = 171 + -156. Calculate the smallest common multiple of y(a) and z.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-2 + 274\/10)\/(22\/55*-1))?\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t + 48 = -11*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 28 = -5*d, 0*m + 2*m + 8 = d. Let i be 275\/95 - -3 - 2\/(-19). What is the highest common factor of i and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n = -37*n + 18. What is the third smallest value in 25.7, n, -2\/5?\nAnswer: 25.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 * -0.23\nAnswer: -2.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1696 and 608?\nAnswer: 32224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**2)\/(k*k**(-2\/17))*((k*k**(-1\/4)*k)\/k)**(4\/11))**(-1\/5))**(3\/5) assuming k is positive.\nAnswer: k**(903\/4675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -206*d**3 + 3*d - 41 wrt d.\nAnswer: -1236*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -4*u - u. Suppose u = -6*y + 3*y. Find the common denominator of -37\/6 and (-170)\/(-4)*(-2)\/y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4 + 6*m**3 + 2*m**2 - 6*m - 4.\nAnswer: 2*(m - 1)*(m + 1)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 2\/331 (c) 0.08 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -406 + 767. List the prime factors of b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2\/5, 2\/2553 in increasing order.\nAnswer: -2\/5, 2\/2553, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/7)*j**1*j*(j**(-1))**17)\/((j**(-1\/3))**(-34)\/(j*((j\/j**0)\/j)\/j*j)**(-4\/11)) assuming j is positive.\nAnswer: j**(-6200\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) - (sqrt(1377) + 0)**2)*-4 + ((-4*sqrt(204))\/sqrt(12))**2 + 1.\nAnswer: -36*sqrt(17) + 5781","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**3 - 8*d**2 - 7*d - 69. Determine s(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 5*w**3 + 4 - 5*w**2 + 3*w**3 + 0*w**3 - 5*w**3 + (2 - 4 + 1)*(-2 + w**3 + 2) as m*w + t + b*w**3 + z*w**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 9:51 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/8)\/(u\/u**4))\/((u**0\/u)\/u*u*u\/u**(-1\/4)))\/(u**(-3\/5)*u*u*u*(u\/u**(1\/5)*u)\/u*u*u**(-3)\/u*u*((u**(-1)\/u)\/u)\/u*u) assuming u is positive.\nAnswer: u**(187\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2175 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2094793170?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2055, -8211, -18479, -32865, -51375, -74015, -100791?\nAnswer: -131709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (1 - 2 - 4 - (2 - -2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j. Let o(h) = -67*h + 33. Calculate a(o(m)).\nAnswer: 201*m - 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -79900 or -85919?\nAnswer: -79900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 877618.\nAnswer: 2, 7, 62687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 0 - -1 - -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7075897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*s**4 + 8*s**4 - 7*s + 7*s**4 wrt s.\nAnswer: 132*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -437 - -456. Factor 7*i**4 - 3*i**4 + 0*i**2 - 4*i**2 - 19*i**3 + g*i**3.\nAnswer: 4*i**2*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13\/49 + -6\/49. Let s = -14.8 - -15. Which is the nearest to -0.1? (a) 1 (b) s (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -0.1. Let g = -0.2 - n. Let c = 0.3 + g. Is 0.1 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - u + 42 = 4*c, -5*c + u + 48 = 0. What is the highest common factor of c and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**2 - 9*w + 35. Let s be o(-7). Is -8\/41 less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10506281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7571778 and 0.4.\nAnswer: -3028711.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (44\/(-12) + 4)*(4 - 10). Let a(v) = 6*v**3 + v**2 - v - 6. Let g(f) = -f**3 + 1. Let u(x) = 2*a(x) + 11*g(x). Determine u(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 170 - 337\/2. Which is greater: -0.0023 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -33\/769, 0 in descending order.\nAnswer: 3, 0, -33\/769","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/16 - (-45)\/12. Suppose -4*v = 2*o + 14, 0 = 2*o + o - n*v - 24. Which is the second smallest value? (a) -3 (b) o (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1138 is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 12206?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-16)\/(-40) - 193\/(-5)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 63195075 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 12:31 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 963 a factor of 15327614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**2 + 644*w + 51842 = 0. What is w?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3091 and 281?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 34*v**3 + v**2 - 3*v + 1. Let w be j(1). Suppose -34*d + w*d = 2. Let s(x) = x**2 + x. Calculate s(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dprr. Give prob of sequence ddr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1659413.385us?\nAnswer: 0.0000027437390625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 1220103?\nAnswer: -1220111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -103, 4, 7, 3, -64, 9 in increasing order.\nAnswer: -103, -64, 3, 4, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 11.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 7*a + 5. Suppose a = t + 3, 296 = 2*l - 4*t. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22157489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x - 7. Let h be f(-5). What is the units digit of (3 - 26)*(h + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14418939 to the power of 1\/2, to the nearest integer?\nAnswer: 3797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 3262.2 + -3262.7. Put 2, r, 5, -5.8 in decreasing order.\nAnswer: 5, 2, r, -5.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -o**4\/6 + o**3\/2 - o**2\/2 + 113*o. Let v be (1 - 3)\/(3\/(-3)). Give w(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - 21. Let f = r + -0.7. Let g = 2 + -2. Sort g, f, 1\/4 in decreasing order.\nAnswer: f, 1\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tx when two letters picked without replacement from xxxttxtxxxx.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3707 + -14761\/4. What is the common denominator of (-2)\/((-38)\/(-237))*7\/(-42) and h?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92 and 1948928.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-12) + 1 - 828\/(-2376)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of (-50488)\/(-27) + -2 + 112\/54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-210)\/9)\/(484\/726)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1183, -5825, -18367, -42739, -82871?\nAnswer: -142693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 48\/16*(-3)\/18\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5424, -5415, -5406, -5397?\n\"Answer: 9*x - 5433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -8*g**3 + g**2 + 2*g - 3. Let z be w(3). Let p be (17\/z)\/(0 + 2\/20). Which is the nearest to -0.4? (a) -4 (b) -2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 0*s - 2*s = 27, 4*s = 3*h - 19. Suppose -h*i - 3 = -u - 8*i, 4*u = 3*i - 3. Determine o so that u + 1\/4*o**4 - 1\/4*o**2 + 1\/4*o**3 - 1\/4*o = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**3 + 2365*c - 2365*c.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -9*a - 39. Let y be j(-12). Let w = -48 - -151. Let z = w - y. Does 12 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(-1) + (-11 - (-6409)\/51). Suppose 5*z + 59 = 604. Let c = z - u. Put -1\/2, c, 3 in descending order.\nAnswer: 3, -1\/2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11142 + -10989. Let t(x) = x**3 + 5*x**2 + 4*x + 2. Let i be t(-2). Suppose 0 = 3*v + i*v - o. List the prime factors of v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 853502 is divided by 41?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/(-42) + (-22)\/(-3). Let a(z) = -z - 3. Let b be a(-5). Suppose -b*q + q = -y. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from nttt.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 31*o**2 - 989*o + 30144. Give m(34).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*u = -132*u + 2984 + 1201 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 + 3716 = 4*a. Suppose -w = q - 901, q - a = 3*w - 5. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -752299\/330 + 25077\/11. Let i be 0 - 3436*53\/(-42). Let r = i - 4335. Calculate the common denominator of l and r.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w**(-2)\/w*w)))**(-7)*(w\/w**(3\/2))\/((w*(w\/(w\/(w\/(w\/w**7)))*w)\/w)\/w))**(1\/92) assuming w is positive.\nAnswer: w**(13\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 266*v - 3 - 10.\nAnswer: -266*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -6*b**3 + 5*b**2 + 5*b - 5. Let r = -4 + 10. Let x(d) = 7*d**3 - 6*d**2 - 6*d + 6. Give r*l(j) + 5*x(j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17*(-7)\/532 - (-13 - 255\/(-20)).\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-5) + 213\/15. Let j(d) = 2*d - 18. Let u be j(g). Solve -4*n = n - u for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2543461 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.8 - 0.8. Let d = -6.2 + 1.2. Which is the nearest to 0.1? (a) s (b) 1\/2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 135*m**2 + 5. Let c(k) = 67*k**2 + 3. Give 5*c(w) - 3*n(w).\nAnswer: -70*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 910852*d**2. Let n(m) = 14*m**2. Calculate b(n(s)).\nAnswer: 178526992*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40205*n**2*p**3 + 5*n**2*p + 2339*n*p**3 + 3903777*n*p wrt p?\nAnswer: -241230*n**2*p + 14034*n*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-195)\/(-4)) - (-48)\/(-360)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 52415425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -h + 7. Let p be (-4)\/(-14) - h\/(-21). What is the tens digit of (49\/p)\/(-7)*-4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -79 + -12. Let w = 39 - t. Suppose 2*r - w = -0*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 19*n - 23*n. Suppose 27 = -3*i + 3*r, r - 4 = -r. Let t = n - i. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24*t - 40*t + 26*t)*(8*t + 0*t + 8*t) to the form j + q*t**2 + w*t and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) -5 (b) -0.3 (c) -4 (d) 1\/24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4b - 5?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -3*a - 31. Let o be (-22)\/(-6) - a\/21. Suppose 0*c + c - 17 = 2*q, o*c + 5*q = -4. Calculate the highest common divisor of 63 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 19*j**2 - 13*j + 50. Let a be n(20). Calculate the greatest common divisor of 10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 19 = -a, 4*a + 0*d = -3*d - 62. Let y = a - -26. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**5 + 3*i**5 + 12*i**2 + 242*i**2 + 2*i**4 + 6*i**4 + 18*i**4 wrt i?\nAnswer: 120*i**2 + 624*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/185?\nAnswer: 1\/185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**4\/17 - 46706*y**3\/17 - 274007876*y**2\/17 - 15474600960*y\/17 - 43958992896\/17 = 0.\nAnswer: -11648, -54, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7756*b - 18740 = 7746*b. Calculate the remainder when 1878 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 3 + 5*v**2 + 13 + 0*v**2 - 21 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 3*s**2 - 2*s - 3. Determine u(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/10 and 17\/11689807.\nAnswer: 116898070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1666 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2640\/(-100))\/(24\/15 + -2) is divided by 21 + 1 + -1 + 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + 13. Suppose -3*b + d = 2*b. Suppose 2 = -2*y, 2*t + 2*y - b + 2 = 0. Solve -3*s + 13 = r, t*r = -4*s - r + 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 7*n + 20 = 0. Solve k - n = 1 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9222 is divided by 4585.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*g**3 - 389*g**3 - 3008102*g + 3008102*g.\nAnswer: -269*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of r**4\/4 - r**3\/2 - r**2\/2 - 5*r. Let d(c) = -c**3 + 5*c**2 - 2. Let w be d(5). Is 14 a factor of a(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12 + -3 - 3 - 2. Let u(v) = v - 1. Let x = 4 - -1. Let z be u(x). Solve -2*o - z - p = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 413 - 505 - (-1 - 142)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 422 + -450. Let z = -199 - -171.1. Let j = x - z. What is the closest to j in 0.2, 1\/4, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 382317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u + 4. Let n(z) = 2*z - 4. Let m(f) = 5*a(f) + 6*n(f). Let h be m(-4). Suppose -3*v = -h*v + 2*w + 567, -4*w - 4 = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + v**2 + 2*v + 110. Let n be f(0). Which is bigger: n or 329\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 7*b**2 - 12*b - 9. Calculate the remainder when 41 is divided by m(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 5\/2*f**2 - 35\/8*f**4 - 1\/4*f**3 + f + 1 + 49\/20*f**5. Factor q(i).\nAnswer: (i - 1)**2*(7*i + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6)\/(-24) - 139\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 966320115?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m = -d + 23, 38*m - 39*m - 17 = 5*d for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventy-five halves of a micrometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 23321 (base 5) to base 4\nAnswer: 122233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 1:45 PM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 71 - 79 = -3*v, 36 = -5*v - 4*c for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2625 and 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -450*n = -451*n - 7 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/906, 3, -0.5, 140\/11 in descending order.\nAnswer: 140\/11, 3, 1\/906, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, z: 2}. Give prob of sequence rrzr.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 9*d**4 - 1 + (4*d + 2*d**2 - 4*d)*(-2*d**2 - 2 + 2) + 4*d**4 - 2*d**4 - d**4 - 5*d**4 - 2*d**4 + 0*d**4.\nAnswer: -19*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in -417, -1\/9, -0.5, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6996*l**4 - 7014*l**4 + 14026*l**4 - 8 + 7*l**2 to u*l + y*l**4 + i*l**3 + w + m*l**2 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 131628 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 71860 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -9*r**3 - 3*r**2 - 13*r + 344. Let y(u) = 3*u**3 + u**2 + 4*u - 114. What is -4*w(m) - 13*y(m)?\nAnswer: -3*m**3 - m**2 + 106","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*w - 82*w + 8393 = 0. Suppose -784 = 7*b - w. Which is greater: b or -7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - (-3441)\/48)\/((-8)\/(-32)). Is j less than 291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, q: 6, f: 7}. What is prob of picking 2 f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3198 - 1604. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 + -32. Let q(k) = c*k**2 + 136 - 136. Let p(z) = -39*z + 68*z - 28*z + 31. Calculate q(p(g)).\nAnswer: 2*g**2 + 124*g + 1922","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d**3 + d**3 + 6*d**3)*(188*d - 218*d - 229*d) - 6*d**4 - 11*d**4 + d**4 in the form o*d**2 + y*d + g*d**3 + p*d**4 + v and give p.\nAnswer: -1311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, e: 1, b: 2, n: 1, w: 4}. Give prob of picking 1 n and 1 b.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44*f**6*m**3 - 13*f**3*m**3 - 307*f**2 + 2*f*m**3 wrt f?\nAnswer: 5280*f**3*m**3 - 78*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 8, 7, 749, 4 in decreasing order.\nAnswer: 749, 8, 7, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - s + 3*s - 8 = 0, -3*s = -4*k + 9. Let d = k + 44. What is the remainder when d is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -83 - -84. What is the common denominator of 45\/16 and ((-62)\/64 + h)*(50 - 83)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 837838 and 67770.\nAnswer: 113108130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/4 of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 593*g + 1 + 137*g**3 - 138*g**3.\nAnswer: -g**3 + 593*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2276400 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-133)\/(27664\/(-2288)) - (-22)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*v - 3017 - 1858 = -800 for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0, 2, 120.4.\nAnswer: 0, 0.4, 2, 120.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3\/2 (b) -2\/21 (c) 72 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8189809 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -186*u + 20. Let s(p) = -187*p + 19. Let g(j) = 5*q(j) - 4*s(j). Let x be g(-8). Suppose 0 = 8*m - 4*m - x. Round m to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13093*g - 14413*g + 28927*g)*(-3 + 1 + 4) to y*g + m and give y.\nAnswer: 2842","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32*-2.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2431, -2474, -2531, -2602, -2687, -2786?\nAnswer: -2899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -10*y - 9. What is the third smallest value in -130, -0.3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2077 (b) -0.1 (c) 0.17 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 19436480 divided by 19436480\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -3, 3, 13, 4, 0 in increasing order.\nAnswer: -36, -3, 0, 3, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 5*n**2 + 7*n + 9. Suppose -285*d + 282*d = -6. Let a(b) = 2*b**2 - 5*b - 2. Let c be a(d). Let i be u(c). Put i, 0, -5 in decreasing order.\nAnswer: 0, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.15 - 0.45. Which is the closest to 0? (a) u (b) -2\/7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - (-105 + 1 + 0 + -3). Let w = z - 60. What is the remainder when w is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 3:23 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(6048))\/(sqrt(150)*-2 + sqrt(150)).\nAnswer: -24*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.491482 tonnes to milligrams.\nAnswer: 7491482000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*q = -4*q + 11317, 22646 = 2*i - 2*q. What are the prime factors of i?\nAnswer: 2, 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -0.0209 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -480 (base 11) to base 7\nAnswer: -1445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -640226 = -51*y + 13*y - 28654. List the prime factors of y.\nAnswer: 2, 13, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + g + 1. Let s(q) = 48*q - 3075. Let h be s(64). Let z(i) = -2*i - 8 - 8*i + 2*i + 9*i**2. What is h*z(m) - 24*p(m)?\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (3 - 6 - 15) + -45 + -1.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22653 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115, -111, -105, -97?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)\/sqrt(7)*-5 + 4*sqrt(126) + sqrt(126))\/((sqrt(686) - 2*sqrt(686) - sqrt(14))\/(sqrt(4)\/(sqrt(4)\/sqrt(2)))).\nAnswer: -5*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 55. Let n = a + 25. Let k = n + 30. Is 11 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 7872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 759 a factor of 58725348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 12*v**2 - 125*v + 153. Calculate g(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43620 and 47982.\nAnswer: 479820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -505890 - 982?\nAnswer: -506872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52 + 207\/4. Let b = 5\/4 - w. What is the third biggest value in -2\/5, 4\/7, b?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/4 (b) -25 (c) 0.4 (d) 0.0286 (e) -12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.76 + -0.058?\nAnswer: 80.702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 6*z**3 - 2*z**2 + 11*z - 18. What is the smallest common multiple of a(2) and 110?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -584.2 - -602. Let k = 21.8 - g. Sort 2, 1\/9, -0.2, k in descending order.\nAnswer: k, 2, 1\/9, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mlnmlbrnblnlbn. Give prob of sequence rbbb.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*h + 4)*(-4*h + h + 0*h)*(2 - 2 - 2) - h**2 + 3 - 3 + (-3*h + 0*h + 4*h)*(-2 - h + 2) + (0*h + 0*h - 2*h)*(h + 10*h + 7*h).\nAnswer: -50*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*l + 17*l - 18*l + 26*l.\nAnswer: 39*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + o + 116. Let a = -15 + o. What is the remainder when a is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u - 3*u - 2*u + (-5 - 1 + 5)*(-3*u + 0*u + 2*u) + 5*u - 4*u + 6*u + (0 + 0 + 1)*(-4*u + 4*u + 2*u).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 19*s - 196. Give n(-22).\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 4. Suppose -x*p - 5*r = 49, 6*p = p + 5*r - 95. Does 10 divide (p\/5)\/((-6)\/45)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -48*m**2 - 1916*m + 158. Give p(-40).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1435 + (-3 - 14) + 0 is divided by 60?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.67601 to one dp.\nAnswer: -14.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56264 and 104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-379)\/((-3)\/(-2 + -25)). Is t\/(-7) - (-42)\/(-147) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -284404 and -284400 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2777401?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k**2 - 2 - 20 - 6 - 2 to the form n*k**2 + q*k + t and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 6:34 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((((j**(-2\/17)*j)\/j)\/j*j)\/j))**(-2\/17)*(j**(-1\/3))**(1\/6))**(1\/25) assuming j is positive.\nAnswer: j**(-317\/26010)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/320 and -97\/20.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6, 55 in decreasing order.\nAnswer: 55, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m + 19. Let s = -5 + 5. What are the prime factors of u(s)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3670 by -5.\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.32 + 0.158. Let g = -183.162 - t. Let s = -182.99999913 - g. What is s rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d*p**2*r - 500325*d*p**2 - 4*d*p*r + 2*d*r + 2*p*r - 5644*p + 4 wrt p.\nAnswer: -2*d*r - 1000650*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 81 + -78. Let m = 11 - 1. Sort m, 0.5, j in descending order.\nAnswer: m, j, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -14696513 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 10*i**2 - 173*i + 176. What is n(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4956, 9910, 14866, 19824, 24784, 29746?\nAnswer: 34710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 6.7 (b) 370 (c) -6.952\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000458565 rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/4, -7, 0, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13167 + 5934 + 593*d + 6339 with respect to d.\nAnswer: 593","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 726\/905 + -2\/905. Determine a, given that -2\/5*a**2 + f*a + 6\/5 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13045717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (18 - -1 - 13) + -39 + -15\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -5*g + 2*t, 72 = 4*g - 17*t + 21*t. Calculate the remainder when 523 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -347 - -370. Let p be (-6670)\/23590 + (o\/7 - 3). Is p equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 197134, 394270, 591406, 788542, 985678?\nAnswer: 1182814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 17*a**2 + 1805*a + 322. Let c be r(-106). Let j(v) = -4*v**2 + 7*v - 6. Determine j(c).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 147 - 101. Let o = 45.6 - u. Sort 0.4, -1\/5, o in decreasing order.\nAnswer: 0.4, -1\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 2608*y**2 + 6330*y**2 + 2790*y**2 + 6.\nAnswer: 6512*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1444.905365 to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4123*n**2 + 106*n - 226. What is the tens digit of z(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 4*m**2 + 2520*m + 396900 = 0.\nAnswer: -315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10256, -1288, 0 in increasing order.\nAnswer: -1288, 0, 10256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*a - 24*a - 5*z - 968, 3*z = -5*a + 1602. Suppose -318*y - 2943 = -a*y. What are the prime factors of y?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 16 = 4*t + 21 + 15, -11849 = 11*t - 4*r - 11733 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**2\/4 - 52533*p\/4 = 0 for p.\nAnswer: -52533, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/66 and ((-274)\/(-72))\/(-2 + 6\/9)?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 6*o + 6. Let d be g(9). Suppose -5 = -5*q + d. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 91*b - 175*b - 197*b**3 + 86*b to the form a*b + j*b**2 + p*b**3 + n and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c - 3*c + 0*c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 121 - 4696*y - 4701*y + 9395*y wrt y?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -8, 1\/6, 11\/3 in decreasing order.\nAnswer: 11\/3, 3\/2, 1\/6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 s when two letters picked without replacement from yzrhs?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 121163 + -71860. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -9, 1\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jnjntnnnnjjjjnjnnn. Give prob of picking 2 j.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 11:33 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a hour in seconds?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, i: 3}. Give prob of picking 2 w.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 74 = -1867*s + 1866*s, -s + 64*x - 63*x = 17 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = p + 6*w - 172, 0 = -5*w + 45. Let b be 5 - 1*(-1 - -3). Solve -p = -b*i - 104 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1146 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*h - 39*h - 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one twentieth of a centimeter?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9120*j**3 - 8*j**2 - 859?\nAnswer: 54720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 325844 is divided by 107712?\nAnswer: 2708","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3800873 to the power of 1\/3, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180) + sqrt(180) + 0 + sqrt(180) + -2 + 5.\nAnswer: 3 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -5804\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -11221200?\nAnswer: 11221122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -8, -1, -4.\nAnswer: -8, -5, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -597776 divided by 5?\nAnswer: -597776\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-91 - -89) + -6 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i**2 + 3*i + 3. Let p(x) = -x**2 - x + 1. Calculate -c(s) + 2*p(s).\nAnswer: s**2 - 5*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 162100 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -126349*g**5*w**2 + 17*g**5 + 37*g**2*w**2 + 2*g**2*w - 8*g**2 - g + 7*w**2 - 1 wrt g.\nAnswer: -7580940*g**2*w**2 + 1020*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*4\/(-9)*-3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 19\/(-3) + 2\/(-3). Let o = l + 9. Suppose q = 5*q + k + o, 4*k + 8 = 2*q. Solve -5*v = 5*p, q*p - 4*v + 4 = 3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 166*m**3 + 2*m**2 - 5*m + 3. Let o be h(1). Let d = o - -191. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -66737\/16 - -4165. Let i be 351*3*(-43)\/(-36). Let p = i - 1247. Calculate the common denominator of v and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 23*y + 14. Let n(s) = -92*s - 60. What is 26*g(c) + 6*n(c)?\nAnswer: 46*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1519 + 0.1481. Let o = 2 - 1.8. What is the nearest to o in -2\/3, n, 0.06?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24\/11*w + 10\/11*w**2 + 8\/11.\nAnswer: 2*(w + 2)*(5*w + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2211101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5 + sqrt(91)\/(sqrt(7) + sqrt(112) + sqrt(7) + sqrt(7)) + 0 - (2 + sqrt(13) + -2*sqrt(832) + (sqrt(156)*2)\/sqrt(12)))**2*-3.\nAnswer: -337397\/49 + 552*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4\/21 + 10*g**3\/21 - 16*g**2\/21 - 32*g\/7.\nAnswer: 2*g*(g - 3)*(g + 4)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1015 is divided by 209?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1948845 - -14.\nAnswer: -1948831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*14.778.\nAnswer: -1.4778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 4:36 AM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**2. Let h(a) be the third derivative of -2*a**2 + 0*a**3 + 0 + 0*a**4 - 1\/60*a**5 + 0*a. Give z(h(s)).\nAnswer: -2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 0.005129.\nAnswer: -0.0025645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*(p**(-4)*p)\/p*p*p*p)\/p)\/p)\/p*p*p)**(1\/15) assuming p is positive.\nAnswer: p**(-1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31920 by 210.\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**2 - 4*j**2 + 17043*j - 16921*j as s + l*j + z*j**2 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/120*-6*(-8)\/(-30)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1295415*a**6 - 76*a**2 - 86*a - 14 wrt a?\nAnswer: -155449800*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 5 = -y, -2*y + 22 = -2*h - 2*h for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*s**2 - 3*s + 3*s - 8*s**2.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 6:33 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 71424 by 186.\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 394919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 4*t - 3108016, -4*l + 88448 = 5*t + 3196428. Round l to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 8*z - 10. Let l be f(-7). Let s be -1 + l + (-1 - -2). Is (1\/s)\/(8\/(-2664)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, 0, 1, -40, 36 in descending order.\nAnswer: 36, 1, 0, -40, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/9*(-4 + 1). Let s = 19 - 14. Put m, -1, s in ascending order.\nAnswer: m, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1112 + -12?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -8*q. Let p(f) = 7*f. Let d(t) = 5*i(t) + 6*p(t). Let a(g) = 7*g**2 + 4. Let j(b) = 6*b**2 + 3. Let m(z) = -3*a(z) + 4*j(z). Give m(d(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 37088 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1068)\/(-2848) - 170\/(-16) - (1 + -3). Suppose -g = -4*x - 30, -3*g - 3*x + 25 = g. Solve -c*i - g = -11*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s**3 + 166124458*s**2 - 166124458*s**2.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.303914282 rounded to 2 decimal places?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/(-2*sqrt(245)))**2.\nAnswer: 17\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - -5 - (1 + 1). Let p be (-144)\/(-384) - (-74)\/16. Solve -2*i - 9 = -p*r, 2*r + 6 = -r + y*i for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -15*w**2. Suppose -4*x = -3*x - 2. Let y be (-4)\/7 - -5*1985\/35. Let g(o) = -y - x*o + 283. Give q(g(k)).\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 1) + (-4 - -3) + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 44 + 38 = 0. Let d be (-55)\/(-440) + p\/(-16). Solve 0 = 5*m, d*m + 2 = -h + m for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-173 + 137)) + (10 - -2)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8715, -11181, -13647?\n\"Answer: -2466*w - 6249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -2\/5 (b) -7 (c) 9 (d) -4083 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h - 2. Let u = -11 + 17. Suppose -2*t = -u*t - 48. Is 10 a factor of k(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5926095, 11852177, 17778259, 23704341, 29630423, 35556505?\nAnswer: 41482587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, s: 2, a: 1, n: 4, l: 9}. What is prob of sequence dl?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 12*p + 350. Let j be b(-29). What is the second biggest value in -5, -0.4, 0.4, j?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-165)\/(-3465)*-21*93?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 68658 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20 + 6 - 7 + (0 - 2 + 1)*(-2 + 1 - 1))*(v - 2*v + 0*v) as q + a*v and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000036196 to six dps.\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-4))\/(234\/156). Let q = 3 + -3.5. Which is the closest to -1\/4? (a) q (b) g (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -70 + 15. Let q = a - -55.79. Let v = -0.789953 + q. Round v to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 36*d**2 + 2*d + 80. Let m be l(-36). Suppose 4*z - m = -4*r, 6*z - 4*z - 16 = 4*r. Which is smaller: z or 54\/13?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, z: 4}. What is prob of sequence zz?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*s - 27. Let l be (s\/(-3) + 2)*0. Suppose l*z - 5*n = z - 63, -z - 3*n + 67 = 0. Is z a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92578322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -125 + 60 - -40 - -80?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21345, -21342, -21337, -21330, -21321?\nAnswer: -21310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-9) - (-5)\/15. Suppose -45*w + 44*w + 2 = j. Sort w, 0.22, -0.1 in decreasing order.\nAnswer: w, 0.22, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5700 = 425*y + 1539 + 411 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 1 + 5)*(4*n + 4*n + 2*n) + 5*n - 2*n - 5*n)*(-3*n - n + 3*n - 31) to the form p*n**2 + o + h*n and give p.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3002 a factor of 38719796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(-2)\/26*4. Let d = 40\/39 - h. Find the common denominator of 73\/9 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28996 + -15400. Does 84 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 g when two letters picked without replacement from bggbbbgbbbbbgr.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 - -28. Suppose 9 = 5*a - 11, m = -2*g - 4*a - 5674. Is 68\/119 + g\/(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3092330.\nAnswer: 2, 5, 109, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-2))\/((-1)\/2). Suppose 0 = -o - l + 10, -5*l = -3*o - 10*l + 40. Suppose k + 10 = -o*z - 2*d, d = 1. Are z and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43496 - 43258.93. What is p rounded to the nearest ten?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 27 = 40*f - 43*f, f = -2*k - 19. Let w(v) = -33*v + 3. Let t(m) = -67*m + 5. Determine f*w(b) + 4*t(b).\nAnswer: -37*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-17)*t*t**(-1\/10))\/(t**1)**(-5\/11) assuming t is positive.\nAnswer: t**(-1611\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h**3 - h**2 - 3*h - 2. Let z(y) = -y**3 - y**2 - y. Let g(u) = -a(u) + 2*z(u). Let d be g(0). Are 2 and d equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1661\/59839 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 41*y - 42*y - 4 = 0, 6 = -4*v - 2*y. What is the fourth biggest value in -2\/11, 11, 0.185, v, -0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 5:35 AM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of 0 - 4*l + 2\/3*l**3 - 5\/2*l**2. Suppose -w = -2 - 2. Determine z(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 12 = -d, d + 6 = -5*v - 12. Put -5, v, -4, -1 in decreasing order.\nAnswer: -1, v, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 10:17 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 3 + (2 - 0) - (-15 - (54 + -31)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 266 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -39, -125, -295, -579, -1007, -1609?\nAnswer: -2415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 5:35 AM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 10, 10684, 6, 1 in ascending order.\nAnswer: 1, 6, 10, 19, 10684","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-490)\/147)\/(10\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 81 = 2*n. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, k: 1}. What is prob of sequence mkm?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23132212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 11*t - 8*t - 2871 = 0, -4797 = -5*v + t. What is the hundreds digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/27)\/(21\/(-126))*6\/24. What is the nearest to 0 in 26, 18, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77678261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47917 divided by -1.\nAnswer: 47917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**4\/3 + 75920*q**3\/3 + 361150288*q**2\/3 + 2878279040*q + 17247836928 = 0. Calculate q.\nAnswer: -9478, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -a - 3, 1 = -3*a + 5*o - 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 3*b - 710 = -5*f, 169 = b - 3*f. Calculate the greatest common divisor of b and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-1 - -3 - -1 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 w when two letters picked without replacement from {a: 3, x: 1, l: 2, y: 1, w: 3, e: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/445 in -3, -8\/7, -4, 4?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 20*o = -4*j + 5*j + 41, 4*j - 95 - 147 = 2*o for j.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -7*n**3 - 4*n**2 - 4. Let k(j) = 35*j**3 + 21*j**2 + 21. What is -21*f(b) - 4*k(b)?\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -848*b - 17065 + 4345 = 0 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3626889.\nAnswer: 3, 7, 172709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19734 is divided by 6453?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 50*i + 372 + 439 + 39 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 794834.1 weeks in seconds?\nAnswer: 480715663680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*-1 - (-52)\/4. Let s = a - 4. Is 2 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -55036573 and -55036573 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 92007, 4 in ascending order.\nAnswer: -23, 4, 92007","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5577, -11129, -16657, -22155, -27617, -33037?\nAnswer: -38409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15964?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 13 = 93. Suppose -k - 3*k - p = 0. What is the units digit of (-98)\/(-5) + k\/(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1131 (base 7) in base 4?\nAnswer: -12132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y. Let g(k) be the second derivative of -8*k**4\/3 - 3*k. Calculate o(g(f)).\nAnswer: -64*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 13*m**2 - 15*m + 16. Let s be g(14). Suppose 6 - s = -4*v. Let q = 10\/21 + -61\/84. Is v less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2*z)*(-4 - 2 + 5 + (5 - 5 + 1)*(3 + 0 - 1) + 2 - 4 + 9) to c*z + t and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 21*p**2\/2 - 801. Let g(c) be the third derivative of c**4\/12 + c**2. What is g(f(k))?\nAnswer: 42*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -1 in decreasing order.\nAnswer: 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 33*h. Let f be s(1). Let i(j) = 6*j**2. Let o(z) = 32*z**2. Calculate f*i(k) - 6*o(k).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -6*t**3 + 9*t**2 + 7*t - 9. Let y(m) = -7*m**3 + 11*m**2 + 8*m - 9. Let q(z) = -6*h(z) + 5*y(z). What is the second derivative of q(x) wrt x?\nAnswer: 6*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3867, -3772, -3671, -3564, -3451, -3332, -3207?\nAnswer: -3076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 - 8*t - 3958 + 3923 + 0*t**2)*(-3*t - 2*t + 2*t).\nAnswer: -3*t**3 + 24*t**2 + 105*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**2 + 17*o + 1. Let h be l(7). Suppose -2*z + n = -48, z - 4*n + 3*n - h = 0. What is the highest common divisor of z and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 63 = 10*k. Solve v = -6*v + k for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67998077951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - 40. Is c >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25751016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 + 27*n - 943. Give g(19).\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -696*n + 12271 + 25409 = 369*n + 505*n for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = g - 31, -o = -2*o - 4*g - 23. Let q be 1\/(-2) - (o - (-28)\/4). What is the second biggest value in q, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 176 - 170. Put -54, b, 2 in ascending order.\nAnswer: -54, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/15)\/((-3)\/15). Let b = 158 - 188. Let x = b + 33. What is the nearest to 3\/5 in g, -0.3, x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, g: 1, l: 1, k: 3}. What is prob of picking 1 k, 1 p, and 1 g?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -5 (c) -6 (d) -68 (e) 0.5 (f) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -221, -4, 1\/6, 1\/3 in ascending order.\nAnswer: -221, -4, 1\/6, 1\/3, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 3:19 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 64, 103, 158, 235, 340, 479, 658?\nAnswer: 883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -19*p - 2\/15*p**5 + 0*p**3 + 0*p**2 + 0 - 1\/45*p**6 - 2\/9*p**4. Let g(y) = 0. Calculate y.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k\/(k**(1\/4)*k)))\/(k\/(k*k\/(k\/(k\/k**(-30)))))*(k**(-3\/19)*k)\/((k\/k**(-5\/7)*k)\/k) assuming k is positive.\nAnswer: k**(16161\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 257127*p**4 - 635*p - 8 wrt p.\nAnswer: 3085524*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 424848.4 millennia in centuries?\nAnswer: 4248484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -6, 4, -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4067.629 take away 27316?\nAnswer: -23248.371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 4*i = i + 10, -2*i + 5 = -5*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-4))\/((-2)\/(-36)). Suppose -2 - 34 = -n*p. Let g = -121\/3 - -41. Which is the closest to -2? (a) 0 (b) g (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c = 6 + 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14081.86l to millilitres.\nAnswer: 14081860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 882 = -7*n. Let k = n + 296. Solve -8 = -3*c + k*f, -4*c + 4 = 4*f + 20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 303 and 35956.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.6965981 to one decimal place.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -269689 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 4. Let l be z(3). Suppose -3*u + 29 = -2*m + 2*u, -23 = 4*m - 3*u. Let a = 3 - m. Is l less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 414?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, s: 8, v: 5}. Give prob of sequence ss.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6104 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + -29.56. Let s = t - 0.14. Let b = s + 0.6. Is b bigger than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -839, -726, -591, -428, -231, 6, 289, 624?\nAnswer: 1017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -898*v = -861*v + 2145 - 6474. What is the remainder when v is divided by (20\/(1\/1))\/1?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -543 - -935. Is 52 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 14 - ((27 - -3) + 2 + -2).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11700\/(-585)*-4*1\/(-5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -703 - 234. Let f(s) = -17*s**2 + 4*s - 2. Let k be f(6). Let o = k - q. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + 4. Suppose 3*f = -5*v, 5*v + 2*f + 2*f = -5. Calculate the remainder when i is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17869530 to the nearest 100000.\nAnswer: 17900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 5 (b) -1\/2 (c) -2\/7 (d) 12.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 306 and -3.4.\nAnswer: -1040.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21987?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -428.45229 rounded to one decimal place?\nAnswer: -428.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 9*d + 72 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 59 + 19 = 0. Suppose -t + 2*z = -2*t, -4*t + 2*z + p = 0. Solve 13 = -5*b + t*b - 5*s, -5*s - 33 = -2*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**5 + 108*p**4 - 96*p**3 - 208*p**2 = 0. Calculate p.\nAnswer: -1, 0, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -2206 (b) 30 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20977 - 2017 = -66*l + 257*l + 599*l for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -309.1 - -309.4. What is the second smallest value in x, 0.71, 3\/2, -1\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 449792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 8*j = -227 + 215, 0 = 4*v + 2*j + 18 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -1 in increasing order.\nAnswer: -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 4. Suppose f = -n + 22 + 18. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-10) - (-2044647)\/(-97830).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 563335705 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20521.56 microseconds to minutes.\nAnswer: 0.000342026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(1 - (-2 - -5)). Let r(b) be the first derivative of b**3 - b**2 + b - 10. What is the units digit of r(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -6, 0, -1\/7391, 2\/7, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeeeee. Give prob of picking 4 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 990.7534g?\nAnswer: 0.0009907534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -24*f + 1. Let i(o) = -24*o + 1. Let j(n) = 2*i(n) - 3*y(n). Let q = -3 + 4. Is j(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.096 + -0.596. Which is the nearest to 1\/21? (a) -2 (b) 0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6545 + 150569\/23. Find the common denominator of x and -56\/11.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92705 - 299980 = -5*u. Let o = -26813 + u. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -433 - 4404?\nAnswer: -10342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52\/87 - -2\/29. Let q(d) be the first derivative of -1 - y*d**3 + 2*d - d**2 + 1\/2*d**4. Factor q(o).\nAnswer: 2*(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 - p + 12. Let d(t) = -6*t**2 + 3*t - 36. Calculate 4*d(b) + 11*r(b).\nAnswer: -2*b**2 + b - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20469.\nAnswer: 3, 6823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (-2)\/(-7)*-1. Let q = 13 + -8. Let g = 9 - q. What is the closest to v in g, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 46*j**2 + 15*j - 112. What is the units digit of b(26)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 5*i - 79380, 5*i = -s + 6*s - 99225. Let o = -13006 + s. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 3:06 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a century in years?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 376 a factor of 108492544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 - 62 = -2*l. Suppose -3*y - 3*r + l = 0, 4*y - 52 = y - 2*r. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 58071102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17*z**2 + 31297*z + 1497795 wrt z?\nAnswer: 34*z + 31297","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y - 4. Let f(v) = -7*v - 11. Let n(t) = 4*f(t) - 11*p(t). Let i(g) = -103*g. Calculate -6*i(s) + 102*n(s).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1329 or 1354?\nAnswer: 1354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1581, 8205, 24503, 47301, 76587, 112349?\nAnswer: 154575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 2\/3805505?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7.7521 times 91\nAnswer: 705.4411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5*n**3 - 1 - 1 + 3*n + 1 - 4*n. Calculate w(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 40*j**2 - 49*j + 470. What are the prime factors of o(11)?\nAnswer: 13, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from kytkryg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62*j**2 + 162*j**2 - 6*j - 54*j**2 - 26 - 47*j**2 to p*j + v + k*j**2 and give v.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53330 is divided by 1088?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**5 + 3*d**5 - 2*d**5 + (4*d**3 + 0*d**3 - 3*d**3)*(-5 - d**2 + 5) - 7*d**5 + 193*d - 193*d.\nAnswer: -10*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 1 - j - 6 + 4*j - 4*j. Let u be q(-8). Suppose -2*z - u*z = -35. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2188, 2621, 3054, 3487, 3920?\n\"Answer: 433*v + 1755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1522 * -62.\nAnswer: 94364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 833*b = 34690 - 537 for b.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 57, 60, 63, 66, 69?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -2\/5, 2\/3, -5, 0.22, 2, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 32520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39004?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 + 147*a - 66*a + 77*a**2 - 81*a.\nAnswer: 75*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 536 and 156780.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 7866.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - k + 2. Suppose 0 = -3*n - 2*n. Let u be i(n). Suppose -6 = u*v + 4*j, v + 4*j = j - 7. Sort -1, v, 4 in ascending order.\nAnswer: -1, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*u - 12 = -36*u. What is the units digit of (23\/3*22)\/(u\/6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1144 and -0.408475.\nAnswer: -467.2954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - -170. Let z = 1009 + -973. Calculate the greatest common divisor of j and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a litre in millilitres?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (31*g - 31*g - 48*g**2)*(12*g + 2 + 31*g + 34*g) in the form r*g**3 + v*g**2 + x*g + u and give v.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48697\/2 + -24348. What is the nearest to -0.26 in -5, -0.3, d, 2\/65?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-4))\/((-1)\/(-2)). Is 2 - 2 - (-9 + s) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11120001 (base 3) in base 2?\nAnswer: -110011111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -14. Let s = v + -7. What is the smallest common multiple of 4 and 3\/(s - 13\/8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51) - sqrt(204)*1) + ((sqrt(459) + -2*sqrt(459))\/sqrt(9) - sqrt(51)))\/(sqrt(3) - sqrt(189)\/sqrt(7) - sqrt(3) - sqrt(120)\/sqrt(10)).\nAnswer: 3*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16 - 3*2*(-5)\/(-30). Let m = 15 - d. Suppose m = 14*y - 9*y - 925. Is 16 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 + -20 + 70 + 14 + (-2 - (-2 - 1))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.33*14751.\nAnswer: 4867.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -51, -59, -69, -81, -95, -111, -129?\n\"Answer: -n**2 - 5*n - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -3\/2, 8.75?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -3, -5\/2, 1.5, 1024?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -g - 4*x, 2*g + 3*x = g + 15. Let y be 2\/4*g\/(-18). Let f = -149.5 - -150. What is the second smallest value in y, f, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejj when three letters picked without replacement from exlljejbjgebxgle?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 65456093 - -82833907. Round r to the nearest 1000000.\nAnswer: 148000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/30)\/(2\/(-4)). Let b = -13 - -10. Put 4, b, c in increasing order.\nAnswer: b, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*a**5 + 18*a**4 - 43*a**4 + 3*a**3 + 7*a**3.\nAnswer: 5*a**3*(a - 1)*(3*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = k + 20. Suppose a + p = -p + 7, 0 = 4*p - k. Suppose 0 = i, 2*i - 60 = -a*g + 5*i. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 4*p - 27. Let q be m(8). Suppose 4*d + 1103988 = 4*n, -q*d + 3*n - 4*n - 1380003 = 0. Round d to the nearest 10000.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -13*m + 2. Let r(h) = -2*h + 2 - 20 + 36 - 5*h - 17. Let z be (10 - 3)*(2 - 3). Calculate z*r(x) + 4*n(x).\nAnswer: -3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -14*r**4 - 22*r - 18. Let m(v) = -v - 1. Let o(t) = -2*b(t) + 44*m(t). What is the derivative of o(n) wrt n?\nAnswer: 112*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12.166 times 0.395\nAnswer: -4.80557","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -5*s**3 - s**2 - 8*s - 22. Suppose 26 - 16 = -5*t. Let l be a(t). What is the highest common factor of 135 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74 - -102. Factor 8 - 8*w**2 + 12*w**3 - 6*w**3 - 5*w**3 - 29*w**3 + a*w.\nAnswer: -4*(w - 1)*(w + 1)*(7*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -14*p**2 + 23*p + 11. Suppose -m = 2*l - 28, 5*l + 5*m + 36 = 111. Let r = 7 - l. Let h(d) = 4 + d + 0*d + 7*d - 5*d**2. What is r*u(c) + 17*h(c)?\nAnswer: -c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 17 = 2*j, 0 = 2*m - 3*j - 0*j + 2. Let g = -444 + 446. Suppose 2*p - g*y - 13 = 3*y, -3*p + 5*y + 12 = 0. Which is smaller: p or m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2293779361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.9 + -0.88. Let k = 1.02 - p. Let f = 21.4 - 21. What is the nearest to k in -5, f, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/4)\/(-3))\/(52\/(-13)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g - 19553*g**3 + 3*g + 914 + 19555*g**3.\nAnswer: 2*g**3 + 4*g + 914","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3155541 is divided by 52?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -109, 2, 17, 0.2?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 147092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-540)\/76 - -7 - (-54)\/513.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*s**2\/11 - 67966*s\/11 - 55150332\/11.\nAnswer: -2*(s + 942)*(5*s + 29273)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12100 and 1300?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 276 = -60. Let x = j + 79. Does 4 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (10 - 5) + -15\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of d**5\/20 - d**4\/24 - d**3\/3 - 101*d**2. Determine b(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23 and 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 4*p - 2*b + 15, -15 = 2*p + 3*b. Suppose 2*v = -3*n - p*n + 64, -5*v - 3*n = -151. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*b = -12*b - 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 8 - -2) + (0 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -85*r**2 - 263*r + 3387. Let u be i(14). Which is bigger: u or -16954?\nAnswer: -16954","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90)\/(-120)*16\/(-60)*(-10)\/(-12)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 j when two letters picked without replacement from ajjaajdda?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1362902 to the nearest 1000.\nAnswer: -1363000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 552.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2011564?\nAnswer: 2, 283, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*1\/(3\/12). What is the first derivative of -3*n**4 - 13 + u + n**4 wrt n?\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1242401 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from eeeeeeeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**2 - 9*q. Let g be a(4). Let o be (g + (-4)\/(-8))*-2. Let n(i) = i**2 - 7*i + 3. Give n(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4, 4*o + 111 = 2*d - 41. Is (37 + o)*(-2371)\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 plus 18?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 122.8 - 145. What is n rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1074 - 1070. Solve 4*k - 3*k - i*y + 6 = 0, -k - 5 = -3*y for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*((-5)\/25*2 + 836\/1540). Solve -1\/6*s**3 + 2\/3*s**2 + c - 2\/3*s = 0 for s.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 2 - 33\/(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by 1031354.\nAnswer: 10\/515677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = -8*v + 31*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4*h + 2 = 12, -3*h = -j + 25. What is the remainder when 23 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -158, -311, -464, -617, -770?\n\"Answer: -153*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40*4\/8*90\/(-300).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-4) - (-5)\/(-20). Is 0 <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364*k + 4431 = -2849 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*n**4*u - 37*n**3*u - n**2*u**2 + 2*n*u**2 + 670*n wrt n.\nAnswer: -84*n**2*u - 222*n*u - 2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3438651904\/485 + 7089999. Let j = u + 5\/194. What is the common denominator of 748\/(-168) - 4\/(-14) and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of x**3\/3 - 10*x - 2. Let l(i) = -4*i**2 - 428*i. Determine c(l(m)).\nAnswer: -8*m**2 - 856*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2*q + 12 = 0, -5*b + 0*b + 2*q + 24 = 0. Let r(p) = 5 + p - b + 6. Let k be r(-7). Solve -2*a - 2 = -k for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**5*h*h\/(h\/h**(-5)))**(5\/21))**(-1\/64))**28 assuming h is positive.\nAnswer: h**(-5\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -24, 0, -1 in decreasing order.\nAnswer: 0, -1, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40 + 12. What is the highest common factor of 26 and s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/70 + (-1)\/(-15).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16*(19 + -12 - 5). Solve -4*g + 27*x = 28*x + a, -2*x = -4*g - 20 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -6. Let d = 3.55992 - -0.43988. Let g = d - p. Round g to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 71684132?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3335*n + 58. Let t(u) = u + 3. Let c(j) = f(j) + t(j). Is c(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t**3 - 2*t**2 + 2*t - 1. Let v be x(1). Suppose 17 = -2*r - 5*y, r - 5*y - 2 = -4*y. Which is the nearest to r? (a) -5 (b) 1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 920221993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j - 1. Let z(m) be the first derivative of -6*m**2 - 15*m - 21. Determine -30*h(k) + 2*z(k).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -493*n**2 - 51*n. Let a(y) = 48*y**2 + 5*y. Let b(h) = -51*a(h) - 5*c(h). Let v(q) = 5*q. What is v(b(d))?\nAnswer: 85*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4132389?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 1\/6, -0.8, 15, 2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 - 4*w + 48 + w - 3*w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 52 or 923\/18?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 6*x**2 + 7*x - 14. Let i be d(7). Let b be 2\/(-20) - 7\/i. Let q = 0 + 4. What is the third smallest value in q, b, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36*b**4 - 17*b + 8*b - 12*b - 27*b**4 wrt b?\nAnswer: 108*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(-3)\/12*0. Suppose 2*f - 49 + 17 = s. Calculate the remainder when 30 is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/9, -16, 3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 16*a - 2. Let p be h(4). Suppose -4*l = w - l - 54, -5*l - p = -w. What is the remainder when w is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -23 + 12 - (10 - 2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vlj when three letters picked without replacement from lllvj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/5 (b) 16\/9 (c) 0 (d) -5 (e) 4\/4625\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (100\/15)\/(-5)*-3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -175110577*h**2 - 33967284*h.\nAnswer: -350221154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 4, 3, 1\/7, 2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 4 + 4*k - 2*k)*(28*k + 11*k - 11*k)*(-3*k + k + 3*k) to w + h*k**2 + f*k + j*k**3 and give j.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 541*s**2 - 14*s - 118. Let x = 424 - 431. Is a(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -220 or -724725\/3284?\nAnswer: -220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 17021*r + 136110. Give t(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence orro when four letters picked without replacement from orrrorrrrrrrrrrrrr?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1344, 612, 2570, 4530, 6492, 8456, 10422?\n\"Answer: f**2 + 1953*f - 3298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let d be 46\/2 - (3 + 18). Let t(g) be the first derivative of g**3\/3 - g**2\/2 - 2*g + 2. Let z(q) be the first derivative of t(q). Calculate z(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 v, and 1 n when three letters picked without replacement from pnpepnjnvnenn.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -3, -2\/13 in descending order.\nAnswer: 1\/2, -2\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6792771 and 42127.\nAnswer: 6834898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/1491 and (212\/(-68) - -3)\/1 - (-283899)\/2150874.\nAnswer: 26838","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 11*c + 11. Let g be u(-8). Calculate the remainder when 39 is divided by (2\/5)\/(1\/g).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1224)\/(-1575) + (-6)\/(-75)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10987, -21915, -32813, -43693, -54567, -65447?\nAnswer: -76345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -39.80958 to one dp.\nAnswer: -39.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 85707235 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57 + -124 + 60 - 21.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzziiiz. What is prob of sequence zz?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -4\/5, 1\/6, 0.9, 4\/9, 49\/128, -1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from phprpprheppkhe.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 - -1)*(-133 + 128). Solve 0 = 98*o - 108*o + j for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/8 and 80\/51?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2676*w + 1376*w + 1356*w in the form h + i*w and give i.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-5))**(-3\/37))**(-10) assuming g is positive.\nAnswer: g**(-150\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 17*n**3 - 2*n**2 + 11*n - 11. Let h(t) = -9*t**3 + t**2 - 6*t + 6. Suppose 2*s + 12 = -0. Let v(b) = s*c(b) - 11*h(b). Give v(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - -11900) + (-6 - (8 + -16)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*j + 216*j + 22*j - 4 + 138*j + 379*j.\nAnswer: 654*j - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 + p - 9. What is the tens digit of o(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-38))\/(2187\/180063)*82\/13.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1302 and -84.\nAnswer: 109368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 1:36 PM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f. Let k(j) = -14*j + 1. Let h(w) = 6*d(w) + k(w). Let x(n) = -4*n + 4. Let r(v) = -11*h(v) + 6*x(v). Find the first derivative of r(t) wrt t.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 354316522 or 1062949565\/3?\nAnswer: 1062949565\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of 32*o**7\/15 - o**6\/15 - o**5\/30 - 1345*o**4\/12 + 32*o**2 - 6*o + 2. What is the second derivative of s(r) wrt r?\nAnswer: 5376*r**2 - 48*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 528750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(77) - 2*sqrt(77)))\/(5*sqrt(252)) + 1.\nAnswer: sqrt(11)\/6 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 54*a + 822. What is c(-16)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.84947 centimeters to nanometers.\nAnswer: 188494700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324*w = 330*w - 24. Solve -i = w*i + 2*f + 5, 4*f - 3 = 3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -1861*t**2 - 4. Let x(o) = -3*o. What is x(l(v))?\nAnswer: 5583*v**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**3 + 1874*g**2 + 1 + 2*g**3 - 1871*g**2 + 35*g to the form j*g + k*g**2 + u*g**3 + a and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1851384197 to the power of 1\/3, to the nearest integer?\nAnswer: 1228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/196 and 17\/71946?\nAnswer: 1007244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 956535955 to the nearest integer?\nAnswer: 985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 q when three letters picked without replacement from {z: 5, a: 4, q: 1, n: 5}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) + (sqrt(112) + 3*2*sqrt(112) - sqrt(112)))\/((sqrt(56)*-1)\/sqrt(7)))\/(5*(-1*sqrt(175) + sqrt(175)) + sqrt(175)*-1*6).\nAnswer: 7*sqrt(2)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 10*h + 3*h - 8 + 9*h**2 - 11*h**3 - 5*h. Suppose 3*b = 9 + 15. Let z(t) = -7*t**3 + 5*t**2 + 5*t - 5. Determine b*z(i) - 5*k(i).\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p**2 + 90*p + 386. Determine u(-6).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 13*i**2 + 5*i - 60. Let d be c(13). Sort d, -5, -3 in decreasing order.\nAnswer: d, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 6. Let i = 0 - t. What is the biggest value in -3, i, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12, -20, -28, -36?\n\"Answer: -8*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 234878 and 4674?\nAnswer: 28889994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -228 * -10\nAnswer: 2280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dldddldddldldddddd. What is prob of sequence lldd?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -20, 0 = 4*g + 3*p + p - 28. Find the first derivative of -a - 4*a + a - g + 12 wrt a.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 13*n + 5. Let y(r) = -7*r - 2. Calculate -2*b(k) - 5*y(k).\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -4*j + j, -4*n - 8 = 4*j. Let q = 204 + -55. Calculate the remainder when q\/n - 4\/(-12) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1\/12, 49 in ascending order.\nAnswer: -1\/12, 4, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**2 + 2*l**2 + 0*l**2 + 0 + l**2 + 0 - 1 + 1 - 2*l**2 + (-3*l + 3*l + 2*l**2)*(0 - 4 + 6) + 2*l**2 - 2*l**2 + 2*l**2.\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.1093 + -13502?\nAnswer: -13509.1093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/3230 and -7\/446709?\nAnswer: 4467090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 2*d + 3*d + 17, -2*d - 4 = 2*u. Let o be (-16)\/(-6)*(-27)\/(-18). Calculate the greatest common divisor of o and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 27*t**2 - 72*t + 15. Give g(-24).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 10*c**3 + 16*c**2 + c - 4. Let v(a) = 7*a**3 + 11*a**2 + a - 3. Let f(w) = 5*q(w) - 7*v(w). Let n be (2 + 5\/(-2))*8. Calculate f(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 87 = -4*t + 294, -4*t + v = -195. What is the greatest common divisor of 258 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11033 - 11017. Calculate the remainder when 2765 is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 54\/119 or -1?\nAnswer: 54\/119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -227 or -113137\/497?\nAnswer: -227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(95) + sqrt(95)*-2*-2)\/(sqrt(5) + 5*-2*sqrt(5)))**2.\nAnswer: 475\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -844 = -0*d - 2*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 391934479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 49*b + 46*b + 58 = 0, 3*b = -4*x + 128. Which is smaller: -33 or x?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5245858 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -389 - -393. Let d be 31680\/135 - (o\/6 + 0). Is 234 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 15. Let z = 6.00011 - l. Round z to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -331700 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204)*1 - sqrt(204))\/sqrt(12) + -1 - (sqrt(51)\/sqrt(3) + -5 - (sqrt(2057)*-1 + sqrt(17))))*-3.\nAnswer: -12 + 33*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105171379 and 15508?\nAnswer: 3877","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 211571983 to the nearest integer?\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/258 and -62\/1419.\nAnswer: 2838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 9:58 AM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s - 2473258 + 2473258 + 7*s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68126058?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -p**4\/2 + 39*p**3\/2 - 1617*p**2\/2 + 2*p - 1274. What is the first derivative of b(t) wrt t?\nAnswer: -12*t + 117","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63*4\/(-6)*(-10)\/220*-11?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36142783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -34.4 to the nearest integer.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*v - 402 = -19*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17.1 - 35.1. Let w be (-2)\/(-4) - 6*(-15)\/(-20). Sort w, g, 0.2, 0.3.\nAnswer: g, w, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 5*p - 44 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000015240644 to seven dps.\nAnswer: -0.0000152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14610218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 84. Let b be h(0). Let y be 16\/b*2\/(-8). Let m = 217 + -217. Is y less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 + 184*r.\nAnswer: -4*r*(r - 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r - 7. Let s(k) = -k**2 - 3875. What is s(x(h))?\nAnswer: -h**2 - 14*h - 3924","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*27*(-3)\/9*2. Let t = 6 - k. Solve 5*g + t = -3*j, 2*j = 2*g - 0*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.95 + 8.95. Let v be 62\/39*22\/60. Let a = v - -2\/117. Put x, a, 34 in ascending order.\nAnswer: a, x, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 423 + -421. Suppose -3*r + 269 = -l, 58 = t*r + 2*l - 124. What is the least common multiple of 2 and r?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23.648 + -13.455. Round u to 0 decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 309, 300, 291, 282, 273, 264?\nAnswer: 255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6491 - -6503. Solve -s*i + 162 = 210 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 5) + 14 + -9.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 3*s**3 + 4 + (-s - 5*s - 4*s)*(1098*s**2 + 749*s**2 - 2576*s**2).\nAnswer: 7287*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 120 - 125. Let x = -29\/3 + 9. What is the closest to x in -2\/5, u, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1.5367, 0.11, 3 in descending order.\nAnswer: 5, 3, 1.5367, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 317, -5, -4, -1, -711 in descending order.\nAnswer: 317, -1, -4, -5, -711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -15?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 141*u**3 - 5*u**2 + 28*u - 3. What is the hundreds digit of q(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*n - 30*n - 4896 = -2*s, 4*n - 19554 = 2*s. What is the hundreds digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 51 - 35. Suppose t*v + 2*f = -58 + 152, 0 = 5*v + 3*f - 119. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -11*y**4 + 18*y**3 - 10*y**2. Let d(c) = -c**4 + c**3 - c**2. Let w(p) = 30*d(p) - 5*i(p). Solve w(q) = 0.\nAnswer: 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1)**(-1\/17)\/((m**(-2)\/m)\/m)**(-2\/81)*((m*m**(-1))**(-26))**(-28\/11) assuming m is positive.\nAnswer: m**(-217\/1377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 + -30. Suppose -g*k + 7*k = -5*f - 5, -12 = 4*f + 4*k. Suppose f*b - 19 = 5*a - 2, b + 9 = -a. Let w(r) = -r**3 - 4*r**2 + 7*r + 4. Determine w(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by -34.\nAnswer: 15\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6412 and 2548?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 1 = 3*a - 15, 42 = 5*a + 3*z. What is the third derivative of 22*y**a - 3*y**2 + 2*y**2 + 6*y**2 - 4*y**2 + 1370*y - 1373*y wrt y?\nAnswer: 2640*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.2 - -0.7. Let w = -440 - -487.2. Let y = -47 + w. Which is the third biggest value? (a) l (b) y (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*m - 6, -3*m + 5*p - 1 = -7. Is 5 a factor of (-384)\/36*(-3)\/m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 3 (b) -0.4 (c) 2 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 9*v + 14. Let o be f(8). Let t(b) = -b**2 + 10*b - 20. Let m be t(o). Solve n + m = -n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*p**3 - 29*p**3 - 5*p**3.\nAnswer: -75*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3686186 plus -0.1?\nAnswer: 3686185.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (33 - -1 - 71)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 33188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + b - 3*b**2 + (2*b - 33*b + 5*b)*(0*b - 3*b + b))*(-2 + 4 - 1)*(-2 - 4 + 5).\nAnswer: -49*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*b + 465 = 98*b. Suppose 0 = 5*f + 26*f - b. Solve 3*h - o - 1 = 0, f*h + 2*o + 2 = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -304*t - 7190 - 410 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2 + 2*u + 2. Let h(r) = -r. Calculate -h(f) + l(f).\nAnswer: -2*f**2 + 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 s when four letters picked without replacement from {s: 6, j: 3, c: 6, q: 3}.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006675221 rounded to 4 dps?\nAnswer: 0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3998696 rounded to the nearest one hundred thousand?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 951778195 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 27*r**2 + 66*r - 11. Let d be n(24). Put 5, d, 0 in decreasing order.\nAnswer: 5, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 3 = 9*c. Which is bigger: 0.2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z**2 + 491*z + 12268. What is k(-22)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 394373.8 kilograms?\nAnswer: 394373800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4*w - 6*w = 109, -2*v - 4*w = -46. Suppose -v - 43 = -p. Does 38 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 5*x, x - 4*x - 12 = 0. Suppose g = -80*y + 81*y. Suppose -9 = y*p - 1. Which is the nearest to -0.2? (a) -3 (b) p (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40\/(-8) + (-1050)\/(-7)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 94 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -4*i - 54. Suppose -i*t + 909 = -6*t - 5*b, -912 = -4*t + 4*b. What are the prime factors of t?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1450 - 352?\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 1031?\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d376b + 1?\nAnswer: -d376a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-7))\/((-36)\/28). Let l = 0.2 + -0.2. Let w = 0 + l. What is the closest to 3 in w, y, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5 = 0, 20 = -x - 3*x - 4*s. What is the closest to 3 in 0.2, -1\/3, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2110776?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -9*g**2 + 11*g. Suppose 0 = 13*a - 15*a - 10. Let s = -2008 + 2010. Let m(q) = -4*q**2 + 6*q. Give a*m(z) + s*u(z).\nAnswer: 2*z**2 - 8*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*l - 109 = -35*l + 80. What is the second biggest value in -8, -1, -3\/4, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 180977.\nAnswer: 904885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 825 divided by -5\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 15\/(-12) - (-1653)\/(-1044)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30648380?\nAnswer: 2, 5, 7, 179, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/15, -0.001, 0.2, -0.4, -2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 5. Let n = 4 + p. Calculate the remainder when 13 is divided by 12\/30*(0 + n).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - (2 - 3))\/1. Suppose 0 = j - 2 - 0. Solve -v = -h*v - j for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 513378 to the power of 1\/2, to the nearest integer?\nAnswer: 717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 230004 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5150568 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/2*r**2 + r**3 - r + 0 - 3\/2*r**4 = 0. Calculate r.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 8*o. Let z(j) = 2*j**2 + 16*j. What is -5*t(s) - 2*z(s)?\nAnswer: s**2 + 8*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 22314875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.13, 3, -78 in increasing order.\nAnswer: -78, 0.13, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*l - 33*l + 46*l + 9*l.\nAnswer: 43*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 4*k**2 + 314220*k**3 + 9*k - 314268*k**3 - 4*k**2.\nAnswer: -48*k**3 + 7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 48413761139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -157 + 167. Suppose 0 = c - 2, -6*c = -3*x - a*c + 17. Solve 2 = -x*f - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44788 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13 - -46?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i**3 - 2*i**2 - i + 1. Let y(b) = -3*b - 10*b - 9*b**2 + 7*b + 16*b**3 + 5. Let c(m) = 11*j(m) - 2*y(m). Determine c(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/2)\/(19\/(-6878)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13312 divided by 256\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 7*o. Let c be p(1). Let g be c - 4 - 1\/1. Suppose -g*q = 2*r - 6*q + 436, r + 219 = q. Round r to the nearest 10.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12376*a + 12339*a = -703. Let o(d) be the first derivative of 0*d - 1\/10*d**4 - 8\/5*d**2 - 4\/5*d**3 - a. Factor o(u).\nAnswer: -2*u*(u + 2)*(u + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 16 = i. Suppose -p - 4 = 0, 4*b - 3 = -b - 3*p. Suppose -u = b*u - i. Solve 2 = u*w + 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1028\/285 + -32\/15. Let x = z + -307\/247. Is x greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oeo when three letters picked without replacement from eooe.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194082?\nAnswer: 2, 3, 7, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 96.257 and -261.\nAnswer: -25123.077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 - 13. Let h = 42 + o. What is the third smallest value in h, 4\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 8*h**2 + 3*h - 8. Let m be o(4). Suppose -5*g = -4*k - 4*g + m, -5*g = -4*k + 84. Solve i - 3*i - 2*c - 4 = 0, -2*i = -4*c + k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*j*s**2 + 24017*j + 3166*s**2 + 23*s with respect to j.\nAnswer: -4*s**2 + 24017","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*x - 10846 = 67*x. Calculate the lowest common multiple of 68 and x.\nAnswer: 1972","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 279*s + 6. Let v(u) = 68*u + 3. Let z(m) = q(m) - 4*v(m). Let y(l) = -3*l + 3. Give 5*y(t) + 3*z(t).\nAnswer: 6*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - -27. Let o be (8\/(-10))\/(l\/(-405)). Suppose -224 = -4*b + o*k - 11*k, 4*b - 196 = 2*k. Is b a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2605*h - 3*h**3 + 2322*h + h**3 + (-2*h**3 + 0*h**2 + 0*h**2)*(0 - 3 + 4) + 1 - 1 + h**3 + 2*h**3 - 2*h**3 - h**3.\nAnswer: -4*h**3 - 283*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p + 3. Let g be m(-5). Let l = 4 + g. What is the units digit of ((-3)\/l)\/(6\/(-44))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14125 at most as big as -14665?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 11:05 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 304 divided by -304\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p. Let q(g) = -7976*g. What is w(q(d))?\nAnswer: 7976*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 10:46 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255719 is divided by 27.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -909*a**3 + 16*a**2 + 2*a - 179. Let x(f) = f**3 + 4*f**2 + f. Let z(o) = b(o) - 4*x(o). What is the second derivative of z(h) wrt h?\nAnswer: -5478*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 2*c - 2*c)*(2 - 2*c - 2) + 126*c**2 - 56*c**2 - 71*c**2 + 3 + 30*c.\nAnswer: 3*c**2 + 30*c + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 61 = 87. Suppose a + 2079998 = 2*d, g*a = 32*a + 3*d - 10399997. Round a to the nearest 100000.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*b - 85*b + 106 - 93*b.\nAnswer: -140*b + 106","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2460539l to millilitres.\nAnswer: 246.0539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1074*x - 1041*x - 24030 = -4591 + 1711 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1519638 to the nearest ten thousand.\nAnswer: -1520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2423*n - 8496. Is f(23) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u - 16. Let j be b(15). Let m be j\/8 - (-9)\/8. Let n(v) = -17*v + 1. Calculate n(m).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17252 and 5221?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17675839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4075, 4164, 4253?\nAnswer: 4342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -14*w + 136*w**2 + 16*w - 5 + 2 - 7. Let j be v(13). Round j to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(448)*1 + -2) + (1 + sqrt(1008) + -3 - (5 + sqrt(1008)*-1))**2.\nAnswer: -328*sqrt(7) + 4079","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 + 24 = m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 417.\nAnswer: 2919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 - -21 - (-444)\/45?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -77\/3, -0.01955, 1\/2?\nAnswer: -0.01955","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 55, 143, 277, 463, 707, 1015, 1393?\nAnswer: 1847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*w + 5*v + 900, -2*v - 722 = -4*w. List the prime factors of w.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b = -6*b - 100. Let x(k) = k + 13. Let u be x(0). Let z = b - u. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3\/10, 2178, -4, 0.52 in increasing order.\nAnswer: -4, -3\/10, 0.52, 5, 2178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -12803, 6, -6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 15, -2*l + 91 = -4*d + 31. Suppose -5*r = -4*u + 65, -2*r = -4*u - 28 + 90. Calculate the greatest common divisor of u and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4635981 to the nearest integer?\nAnswer: 2153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -960 + 142003\/148. What is the common denominator of -99\/14 and j?\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 7:06 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300365830?\nAnswer: 2, 5, 61, 492403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -48*z - 18. Give q(-3).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/3 - 5512\/3120) + (-29)\/(-15)?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11183 + 11178. Which is the nearest to -4\/3? (a) z (b) 2 (c) 0.1 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88671.32m in kilometers?\nAnswer: 88.67132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11111 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: Put -538, 5, 2\/29, 0.3 in ascending order.\nAnswer: -538, 2\/29, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -s**3\/3 - 11*s**2\/2 + 10*s - 27. Calculate c(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28798 (base 12) to base 3.\nAnswer: 2212101122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -453 + 452.714. Let z = 4.714 - q. What is the nearest to 2 in 4\/5, z, 2\/3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -13625, -54451, -122493, -217751, -340225, -489915, -666821?\n\"Answer: -13608*y**2 - 2*y - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -247 - -276. What is the smallest common multiple of 3 and w?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1198670193 by -1327431.\nAnswer: 903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0091 in -4, 1\/3, -0.29?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3568 (base 10) to base 15\nAnswer: 10cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 21*f + 6. Let c(x) = 20*x + 5. Let o(w) = -5*c(w) + 4*k(w). Let a(h) = -h**2 + 8*h - 13. Let b be a(6). Calculate o(b).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2 = 2*g - 9*w, -5*g - 8*w = -41. Solve d - 4*a + 0*a = 4, -6 = 4*d - g*a for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/1*(2\/1)\/(-16)*(-80)\/4.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -28d0 + -1?\nAnswer: -28d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9535 - -3?\nAnswer: -9532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 4 + 6. Suppose a = 4*g + g. Find the third derivative of k**5 + 5*k**g - 14*k + 14*k wrt k.\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y - 13. Suppose 0 = -5*z + 5, 5*z = 5*p + 2*z - 37. Let w be x(p). Suppose -w*q - 636 = -9*q. What is q rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19464 - 19460. What is the nearest to 4 in o, -3\/4, -5, 1\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/(sqrt(8) + (sqrt(8) - sqrt(16)\/sqrt(2))))\/(sqrt(5) - (sqrt(720) - sqrt(720)*1)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 + 227. Let q = b - -88. Is 16 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5*o - 2. Suppose -2*y - 3*l = -16, -5*y - 10 = -18*l + 13*l. What is a(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 485431 is divided by 678?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 22946560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -89*y**4 + 11*y - 1.\nAnswer: -1068*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times 0.056?\nAnswer: 0.00336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -19 + 9e?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 199 - 176. Calculate the greatest common factor of 207 and a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 - 52*a + 48.\nAnswer: 4*(a - 12)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 12*s**2 + 7. Let i(m) = -6*m**2 - 3. Let c(a) = 7*i(a) + 3*v(a). Let t(b) be the second derivative of 0*b**2 + 0 - 1\/6*b**3 + 7*b. Calculate c(t(u)).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.77 - 0.03. Let f = p - -1.8. Let l be (-1 - (0 + -2))\/1*(-28)\/21. Which is the closest to -2\/13? (a) -1 (b) f (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 + 0.74. Let s = 0.6222 - x. What is s rounded to 3 decimal places?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52*(-98)\/22932*6.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37 + 38. Let g be (-47001 + 1)\/((2 + -3)*c). What is g rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -391*v**2 + 422*v?\nAnswer: -782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4456, 4457, 4378, 4183, 3836, 3301, 2542, 1523?\nAnswer: 208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -327726 by -189.\nAnswer: 1734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/2 + (213 - -16). Suppose -3*u + q = 5*b, b + 2*b + 4*u = 149. What are the prime factors of b?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {m: 1, y: 6, u: 1, b: 2, e: 5}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 h when four letters picked without replacement from ahgghahghhahaaa?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -102\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (34 - 0 - 17).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4098497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 353627 by 1.\nAnswer: 353627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 537*m + 531*m - 8*m**2 + 545*m + 546*m + 538*m - 2697*m.\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 7. Suppose -j*o = -0*b + b - 116, -2*o + 2*b = -44. List the prime factors of o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from ljtltjttj?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253030219?\nAnswer: 13, 19463863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18773339?\nAnswer: 13, 1444103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -477032.6 - -25563\nAnswer: -451469.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -35*m + 1. Let l be u(-1). Calculate the common denominator of -2 - (3 + l\/(-22)) and 5*1*(-116)\/(-24).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(70) - -1*-1*sqrt(70))\/(-3*sqrt(160)) - (-2*sqrt(63)*-4)\/(sqrt(144) - (sqrt(144)*3 + sqrt(144))).\nAnswer: 2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z**3 + z**2 + 2*z + 1. Let q be s(-1). Let j = -49 + 53. Suppose f - 3*f = -j. Solve -2*d + 5*d - f*x - 1 = 0, 27 = 5*d + q*x for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 497*h = -39*h + 6968 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 385 - 189. Let y = 374 - a. What are the prime factors of y?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 57, 71, 75, 69, 53, 27?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + 3 + sqrt(1377) - sqrt(1377))*6*-6 + 3 + -4 + sqrt(68)\/sqrt(4) + 1 + sqrt(1088).\nAnswer: -315*sqrt(17) - 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbffbfffbbbffffbbb. Give prob of picking 2 b and 1 f.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 4*j - 5. Suppose -8 = 5*i + 2*m, j*m = -3 - 17. Suppose i = -4*n + 40 + 80. Solve 0 = 5*w + k + n, w + 3*k + 15 = k for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(65)*-2)\/sqrt(5).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(114) + 1*sqrt(114))*3*-2)\/(-3*(sqrt(384) + sqrt(384) + 1*sqrt(384)) + sqrt(384) + -4*sqrt(384)*1).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.2672429225 - 4?\nAnswer: -21.2672429225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, -5, 2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -3.806\nAnswer: 1.1418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -3. Let h be 1 - (-7)\/((-7)\/(-2)). Suppose -m = h*m - 12. Are m and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223224091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3555 (base 7) to base 15.\nAnswer: -5c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -262, -8, -3, 5 in decreasing order.\nAnswer: 5, 4, 3, -3, -8, -262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of 7\/6*f**3 + 0*f**6 - 1\/30*f**7 + 0 + 0*f**5 + 5*f**2 + 0*f + 0*f**4. What is the derivative of m(g) wrt g?\nAnswer: -28*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 44*j**5\/5 - 3*j**4 - 44*j**3\/3 + j**2\/2 + 4*j + 4347. Find the third derivative of f(d) wrt d.\nAnswer: 1056*d - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3171 and 40341?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -25180320 to the nearest one million.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.26 - -1.16. Suppose h = -10 + 18. Let u be (2\/h)\/(2\/4). Which is smaller: u or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + -2 + ((-1*(1 + sqrt(76) + sqrt(76)) - sqrt(76) - sqrt(76)) + -3)*3) + -4)**2.\nAnswer: 27072*sqrt(19) + 402820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*m + 4 = 85 + 1099 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*a + 15*a = -105. Suppose 4*h - 40 = -4*u, -3*u = -3*h - u + a. What is the derivative of 22 + 7*f - 25*f**2 - h*f - 56 wrt f?\nAnswer: -50*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 4*a, -4*m - 10*a + 24*a = 22*a - 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7*3\/(-3) + 2. Suppose -5*k + 4*m + 36 = 0, -4*k + 28 = -3*m - 0*m. Suppose 0 = -5*d + 15, 0*c + d - 7 = k*c. What is the nearest to c in -4, -25, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 135941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -4*c**3 - 8*c**2 + 13. Let a(m) = -m**3 - 2*m**2 + 3. Let k(z) = -26*a(z) + 6*h(z). Find the third derivative of k(o) wrt o.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 2416.\nAnswer: -1\/2416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (2 - 4) + -5 + 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 502, 509, 518, 529, 542?\n\"Answer: t**2 + 4*t + 497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*u + c, -5*u + 1 = 5*c - 4. What is w in 201*w**u - 3264*w - 76*w**3 + 150*w**3 - 77*w**3 - 3468 = 0?\nAnswer: -1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9974551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + u**2 - 14 + 16.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of 0*l**6 - 3\/2*l**3 + 0*l**5 - 1\/6*l**7 + 0*l**2 + 0*l**4 + 6*l + 0. What is the second derivative of d(w) wrt w?\nAnswer: -140*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 + 7. Let s = f - -52. Differentiate -4*h + 28 - s*h - 5*h + 3*h with respect to h.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**3 - 168*w**2 - 347*w + 211. Let v be g(86). Put 4, -35, v in descending order.\nAnswer: 4, -35, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*x + 73*x - 324 - 643 = 386 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*d + 19*d + d - 11*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -82802182 and 0.39.\nAnswer: -82802181.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/96*(-36)\/1)\/10.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 773447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 9:27 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2991, 2636, 2281?\n\"Answer: -355*v + 3346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 5*q + 85, 4*z - z - 2*q = -79. Is (42\/(-10))\/(z\/500) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jfa when three letters picked without replacement from sfaajaajjjajsajja?\nAnswer: 49\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of 2*j**3 + 2711. Let f(y) = 327*y. What is g(f(l))?\nAnswer: 641574*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1823 is divided by 1575?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 + 46. Suppose 0*v = 3*v - 18. Suppose 4*t - 396 = -4*s, z*s - 372 = -2*t + v*t. Calculate the highest common divisor of 24 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -2*l + 113, -25*l + 147*l - 62*l = 3*y + 63*l - 174 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123165.\nAnswer: 3, 5, 7, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 35\/14*4\/10. Suppose -v = -3*r - 10. Is -2 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -327, -325, -323, -321?\n\"Answer: 2*a - 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1400\/24 - 3)\/((-3)\/18*-4). Solve -c*q + 4 + 79 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -364, -379, -394, -409, -424, -439?\n\"Answer: -15*s - 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 3, 4, -25 in descending order.\nAnswer: 5, 4, 3, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - (-21 + 2))\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 33 = -3*n, 14*n - 12*n = -u + 12 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 621439219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Is 1675182317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 19*o**2 + 21*o - 22. Let r be z(20). Let n be (-23*2)\/((-4)\/r). List the prime factors of ((-3)\/((-3)\/n))\/(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11a + -76?\nAnswer: a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - n - 1. Let l(a) = 5*a**3 - 2*a**2 - 6*a + 1. Let z(g) = 2*h(g) - l(g). Let o(x) = -4*x**3 + 3*x**2 + 3*x - 3. Determine 4*o(y) - 3*z(y).\nAnswer: -y**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32459126 is divided by 104?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.543871 to 2 decimal places.\nAnswer: -3.54","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, e: 1, x: 3, p: 4}. Give prob of picking 1 x and 1 p.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -10*c + 968. Let y = 96 - c. Suppose -13*o + y*o = -1015. Is o a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -41, -92, -175, -284, -413, -556?\n\"Answer: u**3 - 22*u**2 + 8*u - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(13) + 2) + 5.\nAnswer: 17 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 411*i**2 - 1240*i**2 + 3*i - i.\nAnswer: -829*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2596, 1, 5, -2, -1.\nAnswer: -2596, -4, -2, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -74030.\nAnswer: -7403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -63115 divided by -1?\nAnswer: 63115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/2 - 226*x**3 - 3*x**2\/2 + 679*x - 452.\nAnswer: (x - 452)*(x - 1)**2*(x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3602460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1138 is divided by 76.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((40\/(-3))\/5)\/(37\/((-777)\/(-98))).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-2\/7)*f)\/(f*(f\/f**(-4)*f)\/f*f*f))\/(f\/(f**(-5)\/f)*f**16) assuming f is positive.\nAnswer: f**(-201\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q + 6. Let v(g) = 262*g**2 - 2670. Give v(m(y)).\nAnswer: 4192*y**2 + 12576*y + 6762","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(-12)\/(-28)*7. Let n be 0\/1 - (-1)\/(j\/(-54)). Let b(g) = 4*g - 21. Let x be b(n). Which is smaller: -56 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - u + 12 = 3*j, -5*j - 2329*u + 2332*u - 8 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 533, 3, 2, -3, -88.\nAnswer: -88, -3, 2, 3, 533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + 0*u - u)*(7*u**4 + u**3 + 690258 - 344689 - 344584).\nAnswer: 14*u**5 + 2*u**4 + 1970*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*t + 11 + 9 - 20.\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -15, 7, 63, 165, 325, 555, 867?\nAnswer: 1273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.011 and -26.801.\nAnswer: 0.294811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8 - 16) + 16)*15\/40 + (51 - 1)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 4*h + 19 + 7, -2*y + 24 = -5*h for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/4)\/(19\/76). Let v = -1 - t. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, 5.\nAnswer: -6, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1459 + -0.147214. Round l to 4 dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3960)\/75)\/(32\/(-240)). Is r >= 393?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - -2*sqrt(117))\/sqrt(3) + sqrt(2496)*-3)\/(-6*(2*3*sqrt(192) + sqrt(192))).\nAnswer: sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 times 1.52?\nAnswer: -71.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qtrrrxo. Give prob of sequence xr.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*g**3 + 0*g**3 - g**3)*(-83 - 210 - 19) + (2 + 2*g - 2)*(2*g**2 + g - g))*(0*g**2 + 0*g**2 - 5*g**2).\nAnswer: -1580*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -86408967 greater than or equal to 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -21535 (base 6) to base 14\nAnswer: -1151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 69.\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 5*m. Let z be h(-5). Suppose -2*s + n = -z*n + 2, 0 = -3*n + 6. Solve -8 = 2*g - s for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 13 = -2*t + 12, 0 = 3*t + 5*k - 31. Suppose q = -3*q - t. Suppose 0*z - 2*s = 5*z + 16, -3*z + 2*s - 16 = 0. Is q at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 50*h + h - 51 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*s - 22. Suppose 4*z - 24 = 3*h, 6*z - 11 = -5*h - 13. What is the lowest common multiple of z and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -21 + 36 - 6*y - 27 + 2*y. Let p be v(-3). Solve p = 3*h + 2*q - 6*q - 2, 6 = -3*q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, f: 3, n: 1, d: 4, a: 2, g: 1}. Give prob of picking 1 d and 1 n.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -15 (c) -5 (d) -53 (e) -4\/51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1174, 2346, 3518, 4690, 5862, 7034?\nAnswer: 8206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2447 (b) -5 (c) 1 (d) -0.4 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + q - 30. Suppose 4*g = 15 + 9. Calculate the remainder when q is divided by g*4\/(-6)*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2552.97842 + -2553. Let j = 0.0317 + b. Let r = -0.01 + j. What is r rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 5*d**2 + 3*d - 2. Let i be w(5). Let l = i - 2. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 85 + -233 + 21 + 76.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m + 10*m + 3*g - 21, 0 = 5*m + g - 17 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/9 (b) 0.2 (c) 4 (d) -2\/4159 (e) 0.07 (f) -544\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0315 in -4, -1152, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -13. What is the remainder when x is divided by (-1)\/(5*(-4)\/40)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + v = 3*a + 1, 3*v - 3 = 3*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2607616 is divided by 1933?\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -10, -2\/51, 0.5, 3, 0.4, -0.9, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 6:04 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 4, 2*c - 208 = -5*r - 0*r. Let u(n) = 2*n - 7. Let k be 9 + 1\/(-1) + -2. Let w be u(k). What is the highest common factor of w and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 217 + -125. Let q be ((-11)\/(-1))\/((-2)\/(-40)). Let r be (-40)\/q - m\/(-22). Solve 2 = 2*y + 4*b - 4, -y = r*b - 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23723013026 - -0.1.\nAnswer: -23723013025.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235*c + 80*c - 100*c - 66*c - 254*c.\nAnswer: -575*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -11\/2 + 21\/2*n - 9\/2*n**2 - 1\/2*n**3 = 0?\nAnswer: -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 603240?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/22)\/(15\/(-14) - -1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k**3 + 0 + 0)*(4 + 167*k - 339*k + 153*k) to g*k**4 + s*k + d + m*k**3 + n*k**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 97, 174, 257, 346?\n\"Answer: 3*w**2 + 68*w + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 15) in base 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1944)*-2*-3*-4)\/((sqrt(432) - 6*(1*sqrt(432) + sqrt(432) - sqrt(432)))*5) + 0.\nAnswer: 36*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 250*u**2 - u - 27. Let j(y) = -251*y**2 + 2*y + 36. Calculate -3*j(p) - 4*x(p).\nAnswer: -247*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of -1\/14*a**8 + 0*a**7 + 0 + 31\/12*a**4 + 0*a**5 + 0*a**3 - 187*a**2 + 0*a**6 + 0*a. Find the second derivative of y(k) wrt k.\nAnswer: -480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 308 = 5*y - 2*z, -5*y - 304 = 2*z. Which is bigger: -59 or y?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 5 + 1)*(-2 + 2 + 2) + 1 - 3 - 3)*(4*v - 6*v + 3*v)*(0*v**3 + 0*v**3 - 2*v**3).\nAnswer: 14*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -14.02. Let w = t - -0.48. Let a = 0.500038 - w. Round a to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + g + 3 = 4*g, 0 = -4*m + 5*g + 61. Suppose -m*n + 169 = 34. Let y(p) = 6*p - 11. What is the remainder when y(6) is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1078\/363 + 198\/(-121) + 36\/(-30).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 3\/4 (c) 13 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.24 or 5778?\nAnswer: 5778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*a**5 + 0 - 2*a**5 + 3*a - 3*a + (-a + a - a)*(-2*a + 2*a**4 + 2*a))*(-31 - 10 + 5).\nAnswer: 216*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2600\/(-520) + 22\/5 + 0.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7.8488 times -14.6\nAnswer: -114.59248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -75060, -150500, -225940, -301380?\n\"Answer: -75440*u + 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of 0*x**4 + x - 1\/30*x**5 + 0 - 333*x**2 + 0*x**3. Let v(b) = -1 + 14*b - 2 + 4. What is v(h(i))?\nAnswer: -28*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2018, 4, 3 in increasing order.\nAnswer: 3, 4, 2018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34680 is divided by 110?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -t**5\/10 + 7*t**4\/10 - 6*t**3\/5 - 2*t**2\/5 + 8*t\/5 = 0.\nAnswer: -1, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v - 3*m - 9, 2*v = 7*m - 8*m - 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 8, t: 1, f: 1, u: 8}. What is prob of picking 1 t, 2 u, and 1 i?\nAnswer: 56\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3330 (base 4) to base 14\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = q - 10, -2*s = q - 6 - 0. Solve -4*c - 6 - 8 = 2*y, -4*c = -s*y - 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - p + 21 = 0, 5*z - 2*p = -6*p + 18. Put 1, z, -5, -1 in descending order.\nAnswer: z, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -500.724 to 0 decimal places.\nAnswer: -501","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30020?\nAnswer: 2, 5, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*s = -33*s - 56. Calculate the common denominator of (-42)\/s + 63\/(-16) and (4\/(-12))\/((-4)\/(-174)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, -1731, 0.012 in decreasing order.\nAnswer: 32, 0.012, -1731","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/8086842 and 115\/32347368.\nAnswer: 32347368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**3*y + 308592*c**3 - c**2 - 5*c*y - 3299*c + 19*y wrt c.\nAnswer: 6*c*y + 1851552*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 3:48 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 r when three letters picked without replacement from {s: 5, k: 4, g: 4, r: 3}?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/(-98))\/(3\/21). What is the nearest to -3.22 in -4, 1\/3, r, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.118 and -0.1?\nAnswer: 0.0118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**5\/60 - v**4\/24 - 9*v**3 + 2*v**2 - 244. What is x(0)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3.4 (b) -9 (c) -0.5 (d) -1.3 (e) 3\/626 (f) -2\/3 (g) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 241055 (base 6) in base 16?\nAnswer: 51fb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/154 and 5\/784.\nAnswer: 8624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5*g = 20, 3*s - 13 = -0*s + 2*g. Suppose s*l - 4 = 26. What is the highest common factor of l and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 4 - 2*o**3 + o**2 - o**2. Let i be n(0). Let j = 11044 + -10968. Calculate the highest common divisor of i and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, z: 5, b: 4}. What is prob of picking 1 e, 2 b, and 1 z?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -138 - -109. Let s = t + 102. What is the remainder when s is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/4 (b) -4\/3 (c) 1195 (d) -14\/255\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*c**2 + 9*c**2 + 205*c - 29*c**2 + 7*c**2 as w + q*c + d*c**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + a - 43857 = 0, -4*d - 4*a + 707 + 86993 = 0. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-2\/3)\/i))**(7\/4)\/(i\/i**(2\/3)*i)**(15\/4))\/((i**(2\/39)*i)\/(i*i\/i**2))**6 assuming i is positive.\nAnswer: i**(-259\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 - -6. Let i = 41 + r. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of 23*h**4\/24 + 1542*h**2. Let i(w) be the third derivative of w**5\/60 - w**2. Determine d(i(x)).\nAnswer: 23*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**3 + 630*r**2 - 1260*r**2 + 630*r**2.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-4)*(-2 - -2 - 0). Sort -2\/11, 0.3, m, 2\/3 in descending order.\nAnswer: 2\/3, 0.3, m, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-280)\/330 - 4\/(-22). Put l, 4, -1, 0.5 in decreasing order.\nAnswer: 4, 0.5, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-77 - -84) + (-14 - 5) + -7 + 8.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d - 6. Let o = 13 + -8. Let s be w(o). Suppose -s = -h, 2 = -z + 3*h - 6. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/737 or 0.2497?\nAnswer: 7\/737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 273465, 8 in ascending order.\nAnswer: -4, 8, 273465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkpgjes. What is prob of sequence kp?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 5*i + 3. Let j be m(-5). Suppose 4*c + 4*h = -4, j*c - c - h + 11 = 0. Let k = c - -2. Sort 2, k, -3 in descending order.\nAnswer: 2, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, h: 4, a: 2}. Give prob of picking 2 a.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100100 + 10?\nAnswer: 1100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 + 25. Let v = -8 - c. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12096520 divided by -1\nAnswer: 12096520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 4*p - 14. Determine t(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of x**4\/96 + 17*x**3\/48 + 10*x - 3. Factor z(s).\nAnswer: s*(s + 17)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1335065, 1335058, 1335053, 1335050, 1335049, 1335050?\n\"Answer: w**2 - 10*w + 1335074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -36 - 5542*g + 36 + 33533*g in the form w*g + y and give w.\nAnswer: 27991","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 n, and 1 i when three letters picked without replacement from xnixixxiixi?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-9) + (-4)\/(-18). Suppose m = 2*l + l - 15. Suppose -l*j = -10*j + 695. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(469\/77 + -6). Let c = o - -34. What is the remainder when c is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1221.442 times -0.5?\nAnswer: -610.721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((105\/28)\/(-5))\/((-3)\/(-64))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (190\/285)\/(1\/27)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(176)\/(sqrt(55)\/sqrt(5)))\/(-3*sqrt(40)\/sqrt(5)))**2.\nAnswer: -4*sqrt(2)\/3 + 38\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23358*i**6*v**3 + 97*i**2*v**3 + 53*i*v**3 wrt i.\nAnswer: -2802960*i**3*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 618 to the nearest ten.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4018\/141 or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3610001\/357 - ((-144)\/(-189))\/16. Calculate the greatest common factor of 158 and r.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, q: 10, f: 9}. What is prob of picking 3 q and 1 f?\nAnswer: 72\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5743 + 275?\nAnswer: -549b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 11 = -3*f, f - 500 = 5*m - 509. Which is the closest to 0.4? (a) 0 (b) m (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -6*g + 10. Give v(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-8))\/(247\/(-152))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239022492.\nAnswer: 2, 3, 19918541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/70*-4 + (-1053)\/(-455). Which is the smallest value? (a) f (b) -0.5 (c) 1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 9. Suppose 5*z - k*i = 27 + 12, 5*z - 30 = 5*i. Let p = -4 + z. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 20*o - 19. Let l be w(-19). Let p(k) = 4*k + 3. Let r be p(l). Solve 3*y = -4*f + 7, -r*f + 0*f + 5 = 2*y for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -231757, -463527, -695283, -927019, -1158729, -1390407, -1622047?\nAnswer: -1853643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -4*b + 188, -5*r = -3*b - 147 - 147. What is the remainder when 94 is divided by r?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*i + 30 = -35*i + 638 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85249875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*w - 0. Let y(l) = -68 + 68 - w*l. Let v(k) = k. Calculate v(y(t)).\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from raaapcratcc. Give prob of picking 2 c and 1 a.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -6\/79?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14280, -28546, -42824, -57120, -71440, -85790, -100176?\n\"Answer: -v**3 - 14259*v - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/88*11)\/((-18)\/(-4))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -472, -1598, -3784, -7384?\nAnswer: -12752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (139 - (-9 - (-11 + -7))) + -10*(-36)\/(-30)?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/44 and -101\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -470*q - 6. Calculate r(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ihx when three letters picked without replacement from iohrx.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of 49*b**4\/12 - b**3\/6 - b**2\/2 + 17*b. What is the tens digit of j(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 + 776592?\nAnswer: 776579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116174*f + 4*i - 70 = -116179*f, i = -f + 15 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 334 divided by 92?\nAnswer: 167\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 408776.\nAnswer: 2, 37, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 - 3. Let g(y) be the third derivative of 0*y**3 + 0*y + 13*y**2 + 0 + 0*y**4 - 1\/30*y**5. Calculate k(g(d)).\nAnswer: 8*d**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 750*t**3. Let s(y) = 125*y**3. Calculate -6*h(j) + 34*s(j).\nAnswer: -250*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1013*r**5 + 157*r - 1 wrt r?\nAnswer: -20260*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*f**3*u**2 + 2992*f**3*u + 2*f**3 + 2*f**2*u**2 + 11*f**2*u + 147*f*u**2 wrt f.\nAnswer: -24*u**2 + 17952*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -132, -518, -1148, -2010, -3092, -4382, -5868, -7538?\n\"Answer: 2*r**3 - 134*r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61 and 854.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1206741.\nAnswer: 3, 23, 17489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5737.000003799 - 5737. What is d rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/1772250 and 22\/886125?\nAnswer: 1772250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*2*42\/(-378))\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/41850 and -19\/5751?\nAnswer: 8914050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(2\/15))\/s**8)**19 assuming s is positive.\nAnswer: s**(-1957\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -7584.98483 to the nearest one hundred.\nAnswer: -7600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1678 = 5*h + u, 2*u + 358 = 2*h - 330. Calculate the highest common factor of 13817 and h.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 9:54 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10182 divided by 6?\nAnswer: -1697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 17\/1009653 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2099888448 to the nearest integer?\nAnswer: 45825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 - 1)*(h - 4*h + 2*h)*(-85*h + 44*h + 38*h) to y + a*h**2 + x*h and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 2*v - 6, 0 = -v - 0*v + z - 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 451 = i, 0 = -7*i + 10*i - k - 1353. What are the prime factors of i?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 divided by 813974.\nAnswer: 13\/406987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*h + 34*h + 479*h.\nAnswer: 483*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95195 is divided by 13586.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2107 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4746*x - 12 = -c + 4745*x, -3*c + 11*x = -64 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ej when two letters picked without replacement from {c: 1, j: 1, s: 1, a: 2, t: 1, e: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -278a791?\nAnswer: -278a791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21890.34 or 10\/9?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*u**3 - 59*u**3 + 137*u**3 + 4 in the form o + i*u**3 + c*u + m*u**2 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -9*c + 231. Suppose -5*p = 2*f + 2*f + 2, f - 1 = -2*p. Calculate the least common multiple of q(25) and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5b + -128914?\nAnswer: -128886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-15)*(-5)\/2. Sort h, 1\/3, -1\/3.\nAnswer: -1\/3, 1\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 8. Suppose -i*b + 19 = -3*r, -13 = 3*r - 4. Let x be 288\/21 + b\/7. Solve 0 = -u - 4*p + 12, -x = -0*u - 5*u + 3*p for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t - 4. Suppose -i + 2 + 0 = 0. Let n(u) = 2*u + 3. Give i*m(d) + 3*n(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16877728507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1908 - 5726\/3. Let s = -67 + 67. Sort 40, a, s, 0.4 in descending order.\nAnswer: 40, 0.4, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/57, 2, 3.7 in decreasing order.\nAnswer: 3.7, 2, -2\/57, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19176 and 8568?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**(-7)))\/(s*s\/(s\/(s**(3\/5)\/s))*s))**(2\/29)\/((s**(3\/2)\/((s*s**4)\/s*s*s))\/(s**2*s**(2\/9))) assuming s is positive.\nAnswer: s**(15997\/2610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -2\/3, 9, 3, -0.077, 22?\nAnswer: -0.077","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5, 1, 11, 25, 43, 65, 91?\n\"Answer: 2*t**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1788821327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -12\/11, 4\/3, 3, -1\/106?\nAnswer: -1\/106","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -422 * -4\nAnswer: 1688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwuuuwtxxugux. What is prob of picking 2 t and 1 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64653 + -64302. Let h = 22 - 9. Calculate the highest common divisor of h and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002211 rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4928534291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/24)\/((-32725)\/2199120).\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 6:45 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 598 or 18604?\nAnswer: 18604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2531*v - 10126. What is z(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1827983?\nAnswer: 1827983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -d**6\/120 - d**5\/15 + d**4\/24 + d**3\/2 + 76*d**2. Calculate z(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**(2\/11)*f)\/(f\/((f*f**(-9\/5)\/f*f*f)\/f)) assuming f is positive.\nAnswer: f**(56\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2900 and 3992024.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 14*n**2 + 2*n + 30. Let d be b(-14). Solve 0*h + 0*h**d + 2\/3*h**3 + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43142 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -9*(1 - -1 - 1). Let t be (-16)\/9 - (z - -7). Which is the third biggest value? (a) t (b) 4 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2600297, 2600294, 2600289, 2600282, 2600273, 2600262, 2600249?\nAnswer: 2600234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 272, 569, 878, 1193, 1508, 1817, 2114?\nAnswer: 2393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 13, -20 in ascending order.\nAnswer: -20, 13, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(72) + sqrt(72) + 0)*-4 + -3 + ((3*(1 + sqrt(72)))**2 - (-2 + -1 + sqrt(72))).\nAnswer: 54*sqrt(2) + 653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00361142119 to 6 decimal places.\nAnswer: 0.003611","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000011110000110000000110 (base 2) to base 6.\nAnswer: -1432421354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3517470 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-1)\/1 - (368\/32 + -9)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of z**6\/180 - z**4\/12 - 2*z**2. Let g(f) be the second derivative of d(f). Let l(q) = 2*q**2. What is l(g(n))?\nAnswer: 32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-15) - (-13 - -87)*(-4)\/12?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15260666 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -k**7\/210 - k**6\/60 - k**5\/60 - 5*k**2. Factor i(g).\nAnswer: -g**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 l when two letters picked without replacement from {l: 2, z: 3, o: 1, v: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-18)*(-171)\/(-38)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1 + (-3 + sqrt(539))*-2)*-5 + 5.\nAnswer: -27 + 70*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m**5 - 40*m**4 - 16*m**3 + 88*m**2 + 4*m - 48 = 0. What is m?\nAnswer: -1, 1, 4\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -344*c. Let h(u) = 2*u**2. What is t(h(k))?\nAnswer: -688*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s. Let t(w) = -8*w + 3. Suppose 38*l = 35*l + 45. Suppose 4*g + v + 12 = -3*v, g + l = -4*v. What is g*t(j) - 6*r(j)?\nAnswer: -2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2800 = -13*u + 41*u. Suppose 0 = z + 2*f - 50, -2*f = -2*z - 0*f + u. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/78 and 63\/260.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p**2 + 100*p + 668. Let h be x(39). Put -5, -579, h in increasing order.\nAnswer: -579, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/14 - (-793)\/23485*20 - (-143)\/121?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 36 and 838788.\nAnswer: 30196368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/((-228)\/(-19)))\/(12\/5472*2*-1)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**2 - 2 + 10*s**2 + 3 + (4 - 3 - 3)*(s**2 + s**2 - 3*s**2) - s**2 + 0*s + 0*s - 3*s + 3*s - s**2 as u*s + h*s**2 + x and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 664181782?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65\/(-27170)*-76*-2.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 673177 is divided by 673006?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 72\/12 + -2 + -1. Suppose -5*t - 1050 = -2*a, -5*a = v*t + 843 - 3437. Let y = a - 309. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 307*t + 4212 = 73*t for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**3 + u**2 - 3*u - 1. Let h be m(-3). Let n = h + -20. Suppose w - 13 = -v, n - 15 = 2*w - 3*v. Is 4 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-126360)\/(-144))\/(-195)*(-14)\/(-36)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78, 79, 80, 81, 82, 83?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(204)*3 + (sqrt(204)*1*-1 - sqrt(204)))\/(sqrt(12) + sqrt(192)*-4 - ((sqrt(12) - sqrt(60)\/(sqrt(5)*-1)) + sqrt(12)))*4.\nAnswer: 10*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*r**3\/8 - 3*r**2 + 3*r\/8.\nAnswer: -3*r*(r + 1)*(9*r - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(4\/(-2)))\/((26062\/(-166))\/17270)?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3\/54)\/(401\/68 + -6) and 97\/56.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express k**2 + 32*k + 33 + 35*k + 4*k - 108*k + 22*k in the form l*k**2 + d + i*k and give i.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l + 17 + 0 - 126*l**2 - 15 + 0*l.\nAnswer: -126*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -32 and 26028.\nAnswer: -832896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0 - 6) + 7 - -10) + (-12 - -16)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2109?\nAnswer: 3, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30088\/11 + -2735. Let z = -7.6 + 5. Let u = 3 + z. What is the second smallest value in u, -0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-18))\/((-735)\/(-17640))?\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004279245 rounded to 5 decimal places?\nAnswer: -0.00428","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l**4 - 582842*l**3 - 232*l**2 + 4*l - 2 wrt l?\nAnswer: -24*l - 3497052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, -1\/2, 1848, -0.1, 1.\nAnswer: -1\/2, -0.1, -0.06, 1, 1848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q + 10. Let x(w) = -2*w + 19. Let b(c) = 4*x(c) - 7*y(c). Let t be b(-5). Suppose -t + 7 = -o. Solve -4*k = o*n + 12, 3*n + 19 = 2*k - 0*n for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 2010220000002?\nAnswer: -2010220000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*z**2 + z**2 + 4405*z - 4406*z - 2 as i + h*z**2 + u*z and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 2. Let t = -5418 + 5419. What is k(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - ((3 + -1 - (-29 - (56 + -72))) + -17).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*l + 19*l + 5*l**2 - 31*l + 3)*(1345*l - 1345*l - 37*l**2) to o + x*l**4 + h*l**3 + p*l**2 + d*l and give x.\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of 0 - q**2 - 1\/2*q**3 + 2*q. What is the derivative of f(i) wrt i?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -1\/2*q**3 + 1\/2*q + 1\/2 - 1\/2*q**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-111 - -123)*2\/108*1\/2\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8121505 to the nearest 10000.\nAnswer: 8120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 36*z**3 - 336*z**2 - 236*z - 40 = 0.\nAnswer: -1\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z - 8. Let d(u) be the second derivative of -u**4\/12 - 9*u - 3. Give v(d(h)).\nAnswer: 2*h**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 595, 1150, 1705, 2260, 2815?\n\"Answer: 555*y + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4350277 and 51747.\nAnswer: 4402024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 782 is divided by 255?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 140 - 140.2. What is the closest to -1\/4 in p, -3, 2\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s**3 - 134*s**2 - 154*s - 68. Let x be v(46). Put -5, 1, x in ascending order.\nAnswer: -5, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.188, 3\/2, 5, -1\/8, 3?\nAnswer: -0.188","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 + 16*k**3 + 69*k**2 + 90*k.\nAnswer: k*(k + 3)**2*(k + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -85 + 49. What is the hundreds digit of (-14)\/((6 + -3)\/v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zfzzdfz. What is prob of picking 2 f and 1 d?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**14*i*i*(i\/(i**17*i*i)*i)\/i assuming i is positive.\nAnswer: i**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -136872*b**2 + 422730*b.\nAnswer: -273744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 370104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 47, 101, 165, 245, 347, 477, 641, 845?\n\"Answer: q**3 - q**2 + 50*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 (base 14) in base 3?\nAnswer: 121021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(240)*-5)\/(sqrt(192)*4 + sqrt(192)))**2*-2.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 15770 times 10486\nAnswer: 165364220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 - 33. Let d be 1\/z + (-84)\/(-48). Suppose -d*r = 2*s + 10, 0 = 2*s - r - 4*r - 25. Which is the smallest value? (a) -1 (b) 2\/3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 32*n - 343. Let c(p) = -11*p - 2. Determine 6*c(z) + 2*k(z).\nAnswer: -2*z - 698","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24*2)\/6*2\/(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1489 + 6*v + 1488 + 3*v)*(40*v - v**2 - 22*v**2 - 40*v).\nAnswer: -207*v**3 + 23*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*h - 21 = 27, -2*l - 2*h = -46. Let w(m) = -m**2 + 14*m + 48. Let q be w(l). Let u = q + 59. What is the third biggest value in -3\/5, 3\/2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46971271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176167*d - 4*d**3 - 6*d**3 + 2*d**3 - 176167*d.\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of k**7\/280 - 5*k**4\/24 + k**3\/3 + 6*k**2. Let z(t) be the first derivative of m(t). Differentiate z(f) with respect to f.\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 y when three letters picked without replacement from ypyyyyppyyy.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1337621 + -109252273\nAnswer: -110589894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.7052 and 0.5.\nAnswer: -0.2052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-37 - 335 + 33 + (1 + 2 - 5)*(-1 - 2 + 2))*(-2*x**2 + 2*x**2 - 2*x**2)*(-2*x + x - x) as u*x**2 + c*x**3 + g*x + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 79 divided by -2\nAnswer: -79\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**5 + 265*o**4 + 285*o**3 - 785*o**2 - 1340*o - 540.\nAnswer: -5*(o - 54)*(o - 2)*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3*-4*(2\/(-6))\/(21\/105)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 0, -5, -1, 15 in decreasing order.\nAnswer: 15, 0, -1, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -p**4\/12 - 2*p**3\/3 + 2*p**2 + 2*p. Let a be q(-4). Let y be 1\/(-3) + a\/(-6). Is 0 bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14560 - -14586. Solve -5*f = 4*g - d, -4*f = -3*f + 4*g - 18 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of 2*x**6\/15 + x**3\/6 - 4*x. What is the second derivative of c(r) wrt r?\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263*w = -7*w - 512. What is the second biggest value in -1223, w, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.974 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20 and -0.16017796.\nAnswer: 3.2035592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -5*x. Let y(n) = 15798*n. Calculate y(t(r)).\nAnswer: -78990*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -68 + -21 + -6 + (-14 - -51 - 21)\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -388 + (1\/3 - (-2)\/(-6)). Let r = 166 + u. Does 9 divide (1 + r\/(-10))*10\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1501 is divided by 24?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-9))\/(12\/(-36)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -171.15 + 171. Let p = 0.2407 + -0.0915. Let t = m + p. What is t rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.69319 litres to millilitres.\nAnswer: 77693.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 2:46 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*u = 24*u + 12. Let q(h) = 4*h**3 - 6*h**2 + 8*h - 4. Let z be q(u). Solve -4*f + 9*f + z = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -110*x**4\/3 - 7*x**3\/3 + 5*x**2 + 322*x. Find the second derivative of y(d) wrt d.\nAnswer: -880","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.02268 + -0.03268. What is the second biggest value in -2\/5, -3\/5, -0.8, o, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -206.9 take away 8752169422?\nAnswer: -8752169628.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 5*l. Let f(t) = -80*t**2 - 17. What is f(q(x))?\nAnswer: -2000*x**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 40 - 2?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3)*t**5)\/((t\/((t*t*t**(5\/2)*t)\/t))\/t**(1\/2)))\/((((t**(-1\/4)\/t)\/t)\/(t\/((t*t\/(t*t**(-1\/3)))\/t)))\/(t**(-3\/10)\/t**2)) assuming t is positive.\nAnswer: t**(397\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24\/(-156) + (-4)\/(-26). Suppose a*j = 3*j - 111. Calculate the remainder when j is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 80 = 3*b. Suppose 5*o - b = 300. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -382*h + 217*h + 206*h.\nAnswer: 41*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -5*z - 1, -5*z + 3 + 28 = 4*l for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 16*q**2 - 10*q + 1. Let a(t) = 3*t**2 - 2*t. Let n(o) = -5*a(o) + y(o). Let u(i) = -2*i**2 - 7. Suppose 0*k - 2 = 2*k. What is k*u(c) - 4*n(c)?\nAnswer: -2*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**3 - 567*g**2 - 426*g + 40317. Give h(284).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 190 = 4*a. Let r = a - 6. Let k(s) = -45*s + 3. Calculate the remainder when k(-2) is divided by r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1194\/5 + -240. Let a = -29\/20 - t. Put a, -3\/7, 1 in descending order.\nAnswer: 1, a, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 14*p + 8028 = 0. Let q = 1363\/3 + p. Let g = -2\/1093 - 83050\/9837. Find the common denominator of g and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 4*t**2 - t - 3. Let q be v(-4). Let i be -2 - (2\/q + -16). Let u = 27 - i. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 13) in base 11?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, l: 4, a: 3, q: 4, m: 1}. Give prob of sequence xm.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + p - 1. Let j(l) = -4*l**2 + 7*l - 7. Let o = 0 + 1. Let f(y) = o*j(y) - 6*k(y). Calculate the remainder when 79 is divided by f(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -19*a**2 + 13*a + 16. Let s(j) = -66*j**2 + 38*j + 48. Let i(c) = -2*s(c) + 7*t(c). Let w be i(-1). Solve 4 = 2*m - w for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -33*d - 1539. Give a(-46).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 367628653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -x**3\/3 + 3*x**2 - 6*x + 8. Let o be s(4). Let q = o + 8. What is the remainder when 38 is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-seven halves of a day?\nAnswer: 19440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42 - -44. Let w = -3 - -6. Let j = -2.1 + -2.9. What is the nearest to -0.1 in j, i, w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 2)*(-3 + 7 - 2)*(-856*z - 766*z + 372*z + (2*z + 2 - 2)*(-2 + 5 - 4)) + (4 - 2 + 0)*(-3*z + 5*z - z) to the form f*z + j and give f.\nAnswer: -2502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 97134 + 138.468969\nAnswer: 97272.468969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 4:26 AM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8896\/3 + -2968. Which is smaller: o or 0.04?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 23976, 47953, 71930?\n\"Answer: 23977*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*c - 2939 = -1618 + 1882 + 9641 for c.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(1\/3))**(1\/14)\/(r**4*r*r*r**(5\/6)) assuming r is positive.\nAnswer: r**(-95\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*j**3 - 293*j**3 + 51*j**3)*(1 - 1 - j).\nAnswer: 253*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 1 - 6 = 0. Suppose d = -k + 9. Suppose i - 1374 = -i - k*s, 0 = 4*i + 3*s - 2744. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1385.\nAnswer: 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 - -1 - 612\/(-12)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 2*a - 37, 5*a = 6*a - 14*u - 43 + 10 for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0\/(-2) + (-35 - -16) + 22.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 37 + 22)*(-81 - 17*g**4 + 81).\nAnswer: -646*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 17*s**3 + 13*s**2 + 6. Let v(n) = -8*n**3 - 6*n**2 - 3. Let d(k) = -6*r(k) - 13*v(k). What is the derivative of d(w) wrt w?\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6880000 to the nearest 100000.\nAnswer: -6900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1942912 a multiple of 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 17728e?\nAnswer: 177292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 393 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -78, -118, -158, -198?\nAnswer: -238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of b**3\/6 - 9*b**2 - 121*b. Calculate c(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**5 - 4*s**5 - 2*s**5 + (-3*s**2 + s**2 - s**2)*(1296*s**3 + 928*s - 928*s).\nAnswer: -3890*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1351555116 + -2?\nAnswer: 1351555114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -9.5. Which is the second smallest value? (a) -0.5 (b) w (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -2. Let w(z) = z**3 + 9*z**2 - 11*z - 8. Let p be w(-10). What is the second derivative of 0*a + a**p + a**d - a wrt a?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1711305059 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 60*g**2 - 9*g - 2. Let q(k) = 116*k**2 - 20*k - 5. Give -7*f(y) + 3*q(y).\nAnswer: -72*y**2 + 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s + 18 = -9*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 times -20\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 90 + -13. Let u = 141\/2 - v. Let j = u - -35\/6. Which is the nearest to j? (a) 5 (b) 3 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n*n*n**(-2))\/n*n))**(-4))**(-12)\/(n*n*n**4*n*n*n*n**7*(n\/(n**(-1\/4)*n*n))**(-2\/9)) assuming n is positive.\nAnswer: n**(191\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 8 = -3*d, 4 = -5*j - 4*d + 8. Let w(h) be the third derivative of 1\/240*h**5 + 0 + 6*h**2 + 0*h**3 + 0*h - 1\/48*h**j. Solve w(u) = 0 for u.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*t + 20. Suppose -16 = -2*r - 3*a + a, -4*r - t*a = -28. Let c(j) = j + r*j - j. Let v(z) = 2*z**2. Calculate v(c(y)).\nAnswer: 32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, o: 1, q: 2, v: 10, s: 2, m: 2}. Give prob of picking 1 q and 2 v.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + 10. Suppose 0 = -22*f + b*f + 632. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(475) + -1 + sqrt(475)*2 + 5 - (-4 + sqrt(475) + 5 + -5))**2.\nAnswer: 160*sqrt(19) + 1964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(60\/3)*(-490)\/(-98)*1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j**2. Let n(b) = -8*b**2. Determine 5*n(s) + 12*t(s).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-32)\/(-144)*9*2. Put o, 5, -1, -9 in increasing order.\nAnswer: -9, -1, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3242.57727884 - 0.01360116. Let u = -3255.59 - b. Let v = -13 - u. What is v rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -115*c**3 + 22*c**2 + 71*c + 88. List the prime factors of b(-6).\nAnswer: 2, 12647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 4*q**2\/7 + 36*q\/7 - 3600 = 0.\nAnswer: -84, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-2))**(-4\/35)\/(z**(1\/4))**(1\/11))**23)**(-37) assuming z is positive.\nAnswer: z**(-269767\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1741167 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(65) - 1*(-1*sqrt(65) - sqrt(65))) + sqrt(65) - 2*sqrt(65)*1))\/(-3*sqrt(125)*2 + -2*sqrt(125)*-5).\nAnswer: -3*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 658, -1\/7, 5, 0.14, -19.5?\nAnswer: 658","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8222\/25*24866\/8. Let r = 1022280 - b. Let j = r + -156\/25. Calculate the common denominator of j and 69\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1230 + 3203431?\nAnswer: 3202201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/3*1*0. Suppose f*q + 5*k = -3*q + 39, 2*q = k + 39. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 6154042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69807?\nAnswer: 3, 23269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5*g - 42. Let b be c(10). Let v(z) = 2*z**3 + 3*z**2 - z - 23. What is the units digit of v(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -q**2 - 4244. Let v(c) = -6129*c. Give g(v(u)).\nAnswer: 12258*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, v: 1, k: 1, j: 4}. Give prob of sequence kwv.\nAnswer: 7\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - (11 - 3)) + 44 + (-11 - -2).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-24)\/20)\/((-2)\/10). Suppose -o + a = o. Let i = -6 + o. Put i, 5, -4 in decreasing order.\nAnswer: 5, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 0*y + 28. Let z(s) = s**3 - 6*s**2 - 6*s - 8. Let i be z(y). Calculate the least common multiple of 10 and 2*(-10)\/i + 0.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 5. Let f = -15 + 14.7. What is the second biggest value in 5, f, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**3 + 165*s**2 + 81*s + 175. Give q(83).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9925 and 3425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from rxjrxjjxjxrbxxr?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -441302 (base 5) to base 15.\nAnswer: -4787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -46, 5\/2, -0.1.\nAnswer: -46, -0.1, 2, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 4*q**2 - 3*q + 3. Let a(m) be the third derivative of -1\/24*m**4 + 0*m + 2*m**3 + 0 - 3*m**2. Let n be a(9). What is t(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/28)\/((-3)\/(-3))*1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/923 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 10*y**2 + 22*y - 2. What is the lowest common multiple of k(5) and 26?\nAnswer: 4654","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(3 + 1 - 2)*(-86*v**3 - v**4 + 80*v**3 + 0*v**4) + (0*v**3 - 4*v**3 + 3*v**3)*(-3*v + 5 - 5) - 6 + 3*v**4 + 6.\nAnswer: 10*v**4 + 24*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -z**7\/735 + z**6\/420 - z**2\/2 - 1. Let l(b) be the second derivative of n(b). Factor l(t).\nAnswer: -2*t**3*(t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1071967287?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a - 15 = 8*a. Suppose -3*d = -15, -472982 - 474998 = a*t + 4*d. Round t to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -0.5, 4, -3\/7, 6\/13, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2631 + 1831. Let c = -355 - u. Suppose -122*p = -117*p - c. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 17*n - 13. Let k(s) = 2*s**2 - 31*s + 22. What is -11*a(v) - 6*k(v)?\nAnswer: -v**2 - v + 11","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, 773, -11, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u + 2*u**2 - 4*u + 74 + 144 - 62 as s*u + g*u**2 + h and give h.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 6. Suppose -16*k = -14*k - 33*k + 310. Solve -h*m - 6 = k for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eoeeeeeffff. What is prob of sequence foe?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 5*u + 63, 3*a - 113 = -2*u + 8. Let w be (a - -3)\/2 - -3. Is 6\/(-39) + 680\/w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -149 + 175. Let b(h) = -h**3 - 4*h**2 - 3*h - 1. Let s be b(-3). Let x = l - s. What is x rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -16 + 10 + -27 + 16 + (-3 - -134).\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1414 - 1?\nAnswer: 1413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-675)\/(-9))\/25)\/(1\/(-6)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-7)\/v*(v**(2\/7)*v*v)\/v*v*v*(v*v**(-1\/12))\/v*v**(-2\/13)*((v**(3\/10)\/v)\/v*v)\/v**(2\/29)*(v\/(v\/v**3))\/(v*v**(-4\/7)\/v) assuming v is positive.\nAnswer: v**(-340273\/158340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 324.2132mg in micrograms?\nAnswer: 324213.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 50*b**2 - 3. Is d(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 + 5\/((-10)\/4). Suppose -568 = -0*i + x*i. Let m = 231 + i. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2157 divided by 69?\nAnswer: 719\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 27?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -5*w**2 + 201*w - 38. Let z be n(40). Let h be 0\/((2 + -1)*-1). Suppose -z*o = -0*b - 3*b + 73, 5*b + o - 100 = h. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*a - 11*a + 111*a - 27*a - 20*a - 23*a - 10*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6562463 - 2.\nAnswer: 6562461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/9*(-33)\/22. Let i be (s\/4)\/((-3)\/888). Suppose q = -q + i. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-3)*-4 - (4 + 59 - 10)*1?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.06615 - 2.93385. What is the smallest value in 4, 23, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 - 105200*r**2 + 35069*r + 70134.\nAnswer: -(r - 1)*(r + 35067)*(3*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (126\/(-60))\/(-3) - ((-52)\/5 + 11)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 190, 17, 3 in decreasing order.\nAnswer: 190, 17, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -135 (base 11) to base 16.\nAnswer: -9f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2594437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -445*b + 108*b + 114*b + 115*b + 4*b**2 + 112*b.\nAnswer: 4*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 154546746623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -4*i - 0. Does 7 divide -2 + (-36)\/(2 + i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -524 (base 6) to base 13.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -74976825 - 66749032 - 443013143. What is z rounded to the nearest one million?\nAnswer: 195000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -815*t - 199*t - 7293 + 195 = 0 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2\/4 + 25974355*w + 51948715.\nAnswer: -5*(w - 20779486)*(w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 22*u**2 - 11*u + 11. Let c(b) = -11*b**2 + 6*b - 6. Let g(w) = -11*c(w) - 6*p(w). Let h(n) = -6*n. Calculate h(g(d)).\nAnswer: 66*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.02 + -0.08. Let y = i - 0.4. Sort y, -5, 3.\nAnswer: -5, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 660605226 to the nearest integer?\nAnswer: 25702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**4 + 120*j**3 + 14*j**2 - 5*j + 32159214 wrt j.\nAnswer: 4*j**3 + 360*j**2 + 28*j - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3 + 22626*w**2 - 11359755*w + 1477253100.\nAnswer: -3*(w - 7012)*(w - 265)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 378*d - 22*d + 346*d**2 - 343*d**2 + 8*d to m*d + h*d**2 + f and give m.\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of 0*b**5 + b + 0*b**4 + 0*b**2 + 0 + 10\/3*b**3 + 1\/2*b**6. Find the second derivative of r(z) wrt z.\nAnswer: 180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 10, 3*x - 80 = -3*u + 46. Let r = 77 - x. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.071*47684\nAnswer: -3385.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.065 + 0.135. Put -2, -5\/2, -0.8, u in decreasing order.\nAnswer: u, -0.8, -2, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79018 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4349341 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in sixty-one quarters of a gram?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - -3) + 75 + -84.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = -l + 3*t, 3*l + 32*t - 273 = 31*t. What is the greatest common divisor of l and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 1 - (7 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -12. Let x(q) = q**2 - 3*q. Let u be x(3). Calculate the least common multiple of 2 and (20 + o - u)\/1.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + -99907551\nAnswer: -99907550.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*z**2 + 86*z + 113*z + 64*z - 263*z.\nAnswer: 38*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(sqrt(15)\/sqrt(3)))\/(sqrt(12) + (sqrt(72)*-2)\/sqrt(6)).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.187173 micrograms to kilograms.\nAnswer: 0.000000008187173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 450.8753 plus 81?\nAnswer: 531.8753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1.411 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7, 16, 59, 154, 319, 572, 931, 1414?\n\"Answer: 3*k**3 - k**2 - 9*k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 196494?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*n + 249 = -84 - 57. Solve 41 - n = 4*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 6 - 18 - (25 - 4 - 17)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11851.4 centuries in decades?\nAnswer: 118514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 672 + 60 = 6*u. Is 16 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 354 + -360. What is the tens digit of 3288\/30 - 6 - c\/(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 220 + -216. Sort -2\/5, -0.1, w, 6 in descending order.\nAnswer: 6, w, -0.1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 6, -0.3, 0.1, 3, -2.4 in decreasing order.\nAnswer: 6, 3, 0.1, -0.06, -0.3, -2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2906385959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21782521?\nAnswer: 41, 531281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 86 + -56. Suppose -3*n + 0*n + 3 = 0, -2*h = n - 11. Suppose h*z + 3*g + w = 8*g, 5*g - 14 = z. What is the smallest value in z, 5\/6, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -4. Let i = l + -1. Let h = 102 + -102.3. Which is the closest to -1\/3? (a) -0.1 (b) i (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1308090428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39333 divided by -2355.\nAnswer: -13111\/785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -107718946 divided by -737801?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-2\/3)\/a*a*a)\/a)**(-33))**(-33\/2)*(a**(-2\/13)*a\/a**(-10))**(-23) assuming a is positive.\nAnswer: a**(-1767\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1570.\nAnswer: 2, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232*g = 282*g + 500 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (82*p - 109*p - 125*p)*(-5 + 0 - 1).\nAnswer: 912*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.064156889 - 1.0641. What is w rounded to 7 decimal places?\nAnswer: 0.0000569","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.03915 + 0.03915. Which is the third biggest value? (a) 0.2 (b) g (c) -1.181\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(v**2 + 3*v**2 - 3*v**2 + (1 + 0 + 0)*(2*v**2 + 4*v**2 - 2*v**2) + 13927*v - 13927*v - 9*v**2).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1288 is divided by 116.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/5, 1\/4, 59\/2, -6?\nAnswer: 59\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5 + (sqrt(5)*-2 + -1 - ((-1*sqrt(5) - sqrt(5)) + sqrt(5))*-4) + 4.\nAnswer: -6*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*r - 36 = 99*r - 8 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 2*o + 208, -5*y + 0*o + 520 = o. Suppose -y + 224 = 5*m. What is the lowest common multiple of m and 32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**5 - 2*n**4 + 2*n**3 + 2*n**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 545*d**2 - 65*d**2 + 593*d**2 - 161*d**2.\nAnswer: 912*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-58.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 13*h**3 + 52*h**2 + 6*h + 7. Let b(f) = -4*f**3 - 17*f**2 - 2*f - 2. Calculate 7*b(c) + 2*v(c).\nAnswer: -2*c**3 - 15*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = m - 4, z - 3*m = 9. Let c(n) = 4*n + 3*n + z + 2*n - 5*n. Let a be c(-3). Is -9 less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1893*w**2 + 2001 wrt w?\nAnswer: -3786*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22942 rounded to the nearest one thousand?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3614 is divided by 39?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -6*r + 7. Let c(h) = -5*h + 6. Let p = -117 + 124. Give p*c(k) - 6*s(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -953 * -11.\nAnswer: 10483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -1 + 0 + -11 + 13\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) -473 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-1 - 6)*0\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1129*u**2 + 210 + 210 + 279*u**2 - 420 to c*u**2 + b + a*u and give c.\nAnswer: 1408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 291 = 5*f - 3*r, 11*f = 9*f + 2*r + 118. What is the highest common factor of f and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/2, 5, -0.26, -4, -8, -7?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 6*c + 38 = -c, 20 = 2*u + 3*c. Let k = -942\/11 - -13771\/154. Find the common denominator of k and 114\/u*3\/(-12).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5*(-5)\/100 - (-1118)\/8. Factor -5*r**3 - 85*r - i*r + 0*r**3 - 30*r**2 + 4*r**3.\nAnswer: -r*(r + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216)*2)\/((sqrt(150)\/sqrt(3) - sqrt(50)) + sqrt(4)\/sqrt(2)*-4))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (304\/(-40) + 8)*(-6)\/(144\/(-15)). What is the nearest to 0.0643 in z, 0, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 187, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - (-1)\/4*-2)*-8. What is the closest to -0.2 in -1\/2, 3, x?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 2*h**3\/3 - 5*h**2\/2 + 3*h - 2. Let k be l(3). Let i(w) = 3*w - 9. Calculate the remainder when 25 is divided by i(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 11*o + 9. Let a(i) = i**2 + 6*i - 5. Let b be (-13)\/(-4) + -3 + (-105)\/(-28). Determine b*y(f) + 7*a(f).\nAnswer: 3*f**2 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.22? (a) -1\/2 (b) 5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27493963 is divided by 950.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/18204 and -34\/33.\nAnswer: 200244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-12)*3)\/((-18)\/(-90))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 5*d**2 - 2*d + 3. Let j be k(1). Suppose 8*r - j*r = 8. Let w be (r\/30)\/(12\/15). Sort -0.3, w, -0.1 in descending order.\nAnswer: w, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -378 - 33570 = -12*o. Is 123 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2168*o - 2160*o - 1320. Let g(m) = m**3 - 5*m**2 + 5*m - 1. Let r be g(4). Suppose -5*w - j + 2*j + 251 = 0, -3*j + o = r*w. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 242622 and 22465.\nAnswer: 1213110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -3, 4*h + 4*g + 103 = 5*g. Let v = -6 - h. Calculate the remainder when 137 is divided by v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35622809, -71245645, -106868479, -142491311?\nAnswer: -178114141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**3 - 20*b**2 + 68*b + 753. Calculate u(-9).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from ywywwdwhwwwhydyyd.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1930894*n**3\/15 - 1544716*n**2\/3 + 16*n\/15 = 0.\nAnswer: 0, 2\/965447, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -9*s**2 + 50*s + 32. Let z be v(5). Calculate the highest common divisor of 19266 and z.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 721a6 (base 14) to base 15\nAnswer: 56612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -86*m + 15. Let y = 112 + -114. What is the units digit of l(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33005 - 16600 - 16405 + 3*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80 - (27 + -15 - 17).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 153, 704, 1885, 3930, 7073?\nAnswer: 11548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + sqrt(1584) + 0 + 1 + -4).\nAnswer: -24*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((5*(sqrt(198) + sqrt(198)*2) - sqrt(198))\/(sqrt(11) - (sqrt(44)\/sqrt(4)*1 - sqrt(11) - sqrt(11))))\/(sqrt(294)*-2 + sqrt(294)*-2))**2.\nAnswer: sqrt(3) + 67\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 7*w**2 - 10*w - 69. Let g be r(-7). Let x(b) = 7*b**3 + 2*b - 1. What is x(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d + 1. Suppose -3*k - 8 = -k - 3*q, 3*k = 2*q - 7. Let b(i) = -26*i + 33. Let j(s) = k*b(s) - o(s). Differentiate j(a) wrt a.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, x: 1, t: 10, l: 5}. Give prob of picking 1 l, 1 t, and 1 x.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 1172\/6647?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -5612*k - 84180. What is u(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 19*s**2 - 21*s + 44. Let p(d) = -2*d**3 + 2*d**2 + 7*d - 3. Let l be p(3). What is the remainder when h(l) is divided by 51?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 11*u**4\/2 + 101*u**3\/2 + 335*u**2\/2 + 471*u\/2 + 117 = 0.\nAnswer: -3, -2, -13\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64 and 14?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(-1\/10)*s))\/(s**(5\/3)\/s))\/(s\/s**(-2\/5))**38 assuming s is positive.\nAnswer: s**(-1613\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196*x**3 - 2495*x**3 + 28*x**3 + 536*x**3 - 1603*x**3.\nAnswer: -3730*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 9:58 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -f**2\/2 + 8*f + 14. Let o be c(4). Suppose 3*b + 2*b = -o*q + 13, 4*b + 26 = 2*q. Let d(n) = n - 10. What is d(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 296 + 5255*h - 10514*h + 5266*h as p*h + v and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4833 + 7312. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n - 2. Let x be u(-9). Let i = -3 + 6. Let d(k) = x + 3*k - 2*k - i*k. Calculate d(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g + 0*g - 4*g)*(-1 - 28*g + 32*g - 137*g) as c + d*g**2 + h*g and give d.\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -150000*f**3 + f + 2. Let g = -5 - -3. Let u be z(g). What is u rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5443390, -10886888, -16330386, -21773884, -27217382?\nAnswer: -32660880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 4*a + 103 - 553, 2*t - 5*a = 414. Is t a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55546616 (base 7) in base 8?\nAnswer: 22242654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8211458 to the power of 1\/3, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.95 in 1, 2\/7, -4, 0.08, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 89 + -80. What is the least common multiple of s and 378?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -102 and -88157.\nAnswer: -88259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 604835.01 nanoseconds?\nAnswer: 0.000000168009725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + -30 + (8 - -11)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4*s**3 + 5*s**3 - 26*s - 14*s**2 + 2 - 5*s**2 + 8*s**2. Let o be r(13). Factor 0*z + 0*z**o + 0 + 1\/3*z**4 + 0*z**3.\nAnswer: z**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.19 (b) -0.5 (c) -7 (d) 15.9 (e) 0.068 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 429 + -232. List the prime factors of z.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away -6.15542903?\nAnswer: 5.85542903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m + 4*m - 2*m**2 - m + 10*m**2 - 2*m**2 + 0*m**2 + (-3 + m + 3)*(-m + 2*m + 0*m) + 2*m**2 + 4*m**2 - 3*m**2 in the form v + u*m + n*m**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**4 + o**3 - 1. Let k(v) = -5*v**4 + 7*v**3 - 2*v**2 - 7. Let c(x) = 3*k(x) - 21*q(x). Find the third derivative of c(t) wrt t.\nAnswer: 144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 + -21. Suppose -3*q + 0*q + 60 = 5*x, -o*q - 10 = 0. Calculate the greatest common divisor of 30 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2823, -5362, -7901, -10440, -12979?\nAnswer: -15518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*d + 88 = -191*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t - 1. Let k be u(1). Suppose 0 = -m + 2, -h + k*m - 14 = h. What is the units digit of h\/(-10) - 14\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 113801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1989)\/(-102) - 1\/2. Solve -83*w = -y*w - 192 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223664 is divided by 2513.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 13, -7, -4, 0.9, 0.086?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 33*p**2 - 685*p + 2734. What is the least common multiple of 12 and o(4)?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8634, -8622, -8608, -8592?\n\"Answer: f**2 + 9*f - 8644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267*r - 290*r - 251*r + 770*r - 1.\nAnswer: -38*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 303, -5962, -2, 4 in increasing order.\nAnswer: -5962, -2, 4, 303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of 2*r**5\/5 + 3*r**4 + 6*r**3 + 100. Factor u(j).\nAnswer: 2*j**2*(j + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 + -0.1. Let t = 0.03 + 0.97. Sort t, i, -5\/4 in descending order.\nAnswer: t, i, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 3*q + 19 = 0, -223*g + 220*g - 2*q = 19 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 74 = 18. Suppose -m = -5*k + 22. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 228088 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvv when four letters picked without replacement from mvmvvmmmvvvv.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 13 - 6 = h, 0 = -4*h + 3*b - 37. What is the least common multiple of (-44)\/h - 6\/21 and 0 + (6 + 0 - 2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ztuuvvjvutututzuu. What is prob of picking 1 j and 1 t?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 94964141273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) + 1 - sqrt(612) - sqrt(204)\/sqrt(432))**2.\nAnswer: -sqrt(17)\/3 + 53\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 412 = 116*f - 168. Solve 4*q + 3*x + 5 = -0*q, f*q = 2*x + 11 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -807 (b) -1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 65016 divided by 252?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b - 4. Let t be v(0). Let d be (t\/3)\/((-5)\/75). Suppose 0 = 6*n - 4*n - 46. Solve -4*o - 3*y - d = 0, -4*o + 2*y - n + 3 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r + 62. What is w(18)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5*k + 37 = 0, -k = 6 - 1. Let v = l + -4. Let y be v\/12 - 1\/(-2). What is the nearest to -0.1 in 5, y, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of 119\/2*f**2 - 141 + 29\/4*f**4 + 0*f + 1\/3*f**3. Find the third derivative of m(a) wrt a.\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = u + 6. Let a(n) = -n**3 + n**2 - n + 1. Let i(m) = -2*m**3 - 2*m**2 + 2*m. Determine u*i(r) + 2*a(r).\nAnswer: -4*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 105527037 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s + 4*s**3 + 5*s + 141*s**3 - 193*s**3 + 92*s**3 - 5*s**3 + s**3 + 3*s**3 + (2*s + 0*s - 4*s)*(s**2 + 2*s**2 - 2*s**2) - s**2 - s**3 + s**2.\nAnswer: 40*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x. Let z(j) = 11406443*j + 7. Determine m(z(k)).\nAnswer: 11406443*k + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 17 + 8 = 0. Which is smaller: f or -22\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-320)\/16*((-22)\/12)\/11?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 13 - 1 = 0. Let k(t) = 7*t + 22*t**3 + 8*t + z*t**2 - 4 - 23*t**3 - 11. Is k(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2.51 (b) 1\/13 (c) 5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p + 49 - 32 + p.\nAnswer: 4*p + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/36 + 16\/6. Find the first derivative of -2*n**4 + 3*n**4 + 7 + 5 + k*n**4 wrt n.\nAnswer: 16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*w + 11*w - 458 = 82 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 875*m**6\/6 + 19*m**2\/2 + 56*m - 6840. What is the second derivative of p(t) wrt t?\nAnswer: 17500*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 907 - 292. Let a be 2\/8 - h\/(-4). Suppose -3*w - 2*w + 70 = 0. Calculate the highest common factor of a and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*y + 39*y + 28*y + 36*y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k**2 - 188*k + 2169. Give s(10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**40*f**(2\/75)*f)\/((f**37\/f)\/(f\/((f\/(f\/f**(11\/3)))\/f))) assuming f is positive.\nAnswer: f**(84\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3 + 3 = 0. Let f = 19 - c. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-6) - 26\/(-6). Suppose c - 1425 = -z*a, 3*c = -2*a - c + 552. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 3:52 AM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*q - 16836 = 310*q - 204*q. Does 38 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 11*h**3 - 8*h**2 - 22*h + 5. Is m(12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**2 + 4*u**2 + 4*u**2 - 8224*u**3.\nAnswer: -8224*u**3 + 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) - -2*(5*sqrt(143) + sqrt(143) + sqrt(143)))\/sqrt(11))**2.\nAnswer: 2925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 c, and 1 v when four letters picked without replacement from cxcttxvccttzxtxxxtc?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by -4?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 16) to base 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 4*d + 32, 3*o + 3*d = -1 - 5. Let k be 1*(-3 + 24\/o). Suppose -4*l = -s - 6*l - 3, k*l = 3*s - 24. What is the nearest to 2 in s, 0.2, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4733*u + 11 = -4732*u - 4*j, 0 = u - 3*j - 12 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 4*y - 4. Let s be (0 - 1)\/1 + y. Let f = -1001\/10 - -100. Which is the second biggest value? (a) s (b) -1\/5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 228*s - 1259. Calculate the remainder when u(6) is divided by 85.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o + 4*z - 11, -96*o + 101*o - 45 = -2*z + 10 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) + (sqrt(2057) - -4*(sqrt(2057) - (sqrt(2057) + -2 + sqrt(2057)))))**2.\nAnswer: -352*sqrt(17) + 8292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, j: 4, p: 4, r: 4, x: 1}. Give prob of sequence xj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1276 + -17c6c?\nAnswer: -169c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -108.06 and -141.6.\nAnswer: -249.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3977*x**6 - 4578*x**2 wrt x?\nAnswer: 477240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -17*w**5 + w**3 - 33*w - 1. Let s(o) = 26*o**5 - o**3 + 50*o + 1. Let l(f) = 7*r(f) + 5*s(f). Find the second derivative of l(q) wrt q.\nAnswer: 220*q**3 + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b. Let r(v) = -493116908*v**2. Calculate r(g(h)).\nAnswer: -493116908*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 6. Suppose 4*o = x*m - 512, -5*m - 135 - 23 = o. Let g = o + 296. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 485 and 80039162?\nAnswer: 400195810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 divided by -3.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 51901659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3176 - -4560. What is the least common multiple of s and 24?\nAnswer: 4152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f + 8. Let k be (-3 + (-10)\/1)*1. Let x be m(k). Let w = 5 + x. Which is bigger: w or -5\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5*p = -158, -4*y - 7*p = -2*p - 306. Is y a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f + 17*f**3 + 6*f**3 - 5*f.\nAnswer: 23*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**(14\/3))\/n**(-2\/63))\/(n**(2\/13)\/n**(-1\/2)) assuming n is positive.\nAnswer: n**(9901\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2 + 14*l - 1. Let a be k(-7). Let w be (0 + -1)*1*a. What is the highest common divisor of 9 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 784836*h = 784838*h - 2*g - 4, -6 = -3*h + 5*g for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 0*q + 1 + 0*q**2 + 13\/3*q**3. Let y(u) be the third derivative of u**4\/24 - 2*u**2 + 9*u. Give y(c(m)).\nAnswer: 13*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3646756, -3645994, -3645234, -3644476, -3643720, -3642966, -3642214?\nAnswer: -3641464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -7\/3*d**3 - 5*d**2 - 1\/4*d**4 + 0*d + 1\/6*d**5 + 0 + 1\/120*d**6. Does 23 divide q(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus -4989?\nAnswer: -4988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 * -24.3\nAnswer: 29.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/5*g + 2\/5*g**2 + 0.\nAnswer: 2*g*(g - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 7:28 AM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*x + 3*x - 3*x)*(0*x + 2*x + 0*x) + (4*x - 3*x - 6*x)*(-2*x - 5 + 5) - 13 + 4*x**2 + 13)*(2*x**2 - 6*x + 6*x).\nAnswer: 44*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000054354 rounded to six decimal places?\nAnswer: 0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10043 and 1553677?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 95?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 881774 divided by 29.\nAnswer: 30406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p - 19 - 37 = 0. Let m be (0 - 11*p) + 3. Calculate the greatest common factor of m and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + i - 7*i)*(0 - 1 + 3) + (0*i + 0*i + i)*(6 - 3 - 2).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6126 * -14.22\nAnswer: -87111.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 - 132\/20 - (-8)\/5. Let k be (-4)\/2*g + (10 - 5). Let q = -97\/6 - -1459\/90. Which is bigger: q or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -194, 3\/4, -1\/10 in ascending order.\nAnswer: -194, -1\/10, 0, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -21336000 rounded to the nearest 1000000?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(260) - sqrt(260)*-1) - sqrt(260))\/sqrt(5).\nAnswer: -10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 31*n - 20*n - 15*n. Let h(a) = -52*a**2 - 13*a + 26. Let w(m) = -2*m**2 - m + 2. Let u(z) = h(z) - 13*w(z). Determine u(q(g)).\nAnswer: -416*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -608*k**4 + 348*k?\nAnswer: -7296*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - 6 - 2 - 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10322572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004256791 rounded to 4 decimal places?\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -0.06 (c) 5\/4 (d) -3\/4 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1227\/4 + -9191\/30. Find the common denominator of 149\/24 and x.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*w**2 + 709*w - 40990 wrt w?\nAnswer: -6*w + 709","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -3*q - 0*q. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = v - 2. Suppose 2*n + v*n - 5*n = 0. Solve 2*g = -n*g + 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than -26.477?\nAnswer: -26.277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3849 - 3817. Solve 28*k = 20*k + n for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3220 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m**6 - 5678*m**5 - 105425*m**2?\nAnswer: 240*m**3 - 340680*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 0.3, 91.6, 4 in increasing order.\nAnswer: -3\/2, 0.3, 4, 91.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 62\/(-8) + (-355)\/284 - 38\/(-4)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 66508 - 23999. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**7*g)\/g**0*g\/((g*g**(7\/5))\/g)*g\/((g*g**(7\/2))\/g)*g assuming g is positive.\nAnswer: g**(61\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 7 - 26 + 12 + 1297*u to j + r*u and give r.\nAnswer: 1297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -630 or -0.059583?\nAnswer: -0.059583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b - 1117531. Let l(w) = w**2. Determine n(l(u)).\nAnswer: -2*u**2 - 1117531","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 302*v**2 - 156737*v - 509. Calculate f(519).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 4*g - 514 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 1.9 (b) 0.5 (c) -2\/9 (d) -13 (e) 86\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -632 + -d?\nAnswer: -63f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3020882*d**3 + 193424936*d**2 - 5663880*d + 41472.\nAnswer: -2*(d - 64)*(1229*d - 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/122 in -1\/6, 3\/7, -2\/9, -27.8885?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, c: 3, r: 6}. What is prob of picking 2 t and 2 r?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.013 and -16641.896.\nAnswer: 216.344648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1425798166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 113 + -831. Is (3 - (7 - 1))*i\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/9)\/(o**(-5)\/o))\/(o\/(o*o*o**(-1)))**(-1\/4) assuming o is positive.\nAnswer: o**(52\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 700?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*l*p**2*v + 1137*l*v - 2*p**2*u*v + 51*p**2*u - 6*p**2*v - 9*p*u*v - 6*u*v wrt p.\nAnswer: -10*l*v - 4*u*v + 102*u - 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2916, -5838, -8764, -11694, -14628, -17566?\nAnswer: -20508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -18*j**3 + 5*j**2 - 2*j + 4. Let p(l) = -l**2 + l - 1. What is -c(g) - 5*p(g)?\nAnswer: 18*g**3 - 3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence umu when three letters picked without replacement from {f: 2, w: 2, m: 1, u: 4}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.019 + -2.951. Let x = 3.27 + m. Let d be 42\/30 + 2\/(-2). Put x, 6, d in decreasing order.\nAnswer: 6, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + z + 11. Let j be o(0). Is j bigger than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 8:55 PM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 7*b - 9. Let q(k) be the second derivative of k**3\/2 - 2*k**2 - k. Let y(g) = 5*q(g) - 2*v(g). Let n be y(6). Solve -3*l - n = -l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3518 and 20.\nAnswer: 35180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 19*m - 1. Let j(n) = n. Determine j(f(x)).\nAnswer: 19*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + l + 3. Give m(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 25 = 3*z + 2*z, -2*z = 0. Suppose -q - 2*q = v + 6, 5*v = -n*q. Suppose v*k = 13 + 8. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u + 7. Let m be q(-6). Suppose 0*d + d = m. Solve -4*k - 3 - d = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 11*y - 41. Let r(z) = 3*z - 15. Let b(d) = -11*r(d) + 4*s(d). Let t(g) = 3*g**2 + 2*g + 1. Let u be t(-1). Does 23 divide b(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 5:40 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -859 = 13*v - 911. Let y(g) = g**3 - 3*g**2 - 5*g + 4. Let j be y(4). Determine o, given that 0 - 14\/13*o**v + j*o - 8\/13*o**2 - 32\/13*o**3 = 0.\nAnswer: -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -x + 6, 8 = -4*b - 0*b - 4*x. Let v be (0 - -1)\/(b\/(-8)). Solve -5*f - 25 = p, 0*f + v*p + 32 = -3*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -85*g + 426. Let y be k(5). What is the greatest common divisor of 67 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*k**2 - 3603*k - 169641.\nAnswer: -3*(k + 549)*(2*k + 103)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -430 + 241. Let o be (-6)\/4*828\/m. Let u = 237\/35 - o. Which is greater: -0.05 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8361, 8385, 8409?\n\"Answer: 24*r + 8337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 10:19 PM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -357*y**3 + 335*y**2 - 67*y**3 + 2060*y**3 wrt y.\nAnswer: 9816","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**2\/y*y*y**(12\/5))**(-29) assuming y is positive.\nAnswer: y**(-638\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.29 + -0.1. Let x = k - 0.19. Let j = -5 + 4.8. Which is the nearest to x? (a) -1\/10 (b) j (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000328 rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5273.2 * -0.2\nAnswer: 1054.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*w = -104*w + 216*w + 132 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 466021 (base 9) in base 16?\nAnswer: 44593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 912083 = -406*v + 907617 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 8) in base 16?\nAnswer: f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44\/10403 + 20410\/93627. Factor 0*a + 14\/9*a**2 - 26\/9*a**3 + 10\/9*a**4 + 0 + g*a**5.\nAnswer: 2*a**2*(a - 1)**2*(a + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -363119445?\nAnswer: -363119450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11398 - 11402. Let w = -2 + 2. Which is the third smallest value? (a) g (b) w (c) -3 (d) 0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b**4 - 192 + 116*b**2 - 32*b - 10*b**3 + 0*b**3 - 5*b**3 - 25*b**3 = 0. What is b?\nAnswer: -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -29*v**6\/120 + 17*v**5\/20 - 31*v**2 - 1. Find the third derivative of u(a) wrt a.\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 441431955?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (-8 + 5 + -12). Solve -i*c + 10*c = -3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 540\/225*(-55)\/(-286)\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.44 in -9, 13, 8, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/552445?\nAnswer: -1\/552445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 385976, 771938, 1157912, 1543904, 1929920?\n\"Answer: a**3 + 385955*a + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 28 = j - 7*j, -7*n + 2*j - 32 = -8*n + 6*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - f. Let t be (-21)\/(-7) + (-4)\/1. Let h(i) = 5*i**2 + 6*i + 1. Let x(k) = t*h(k) - 6*b(k). Factor x(v).\nAnswer: (v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.57 * -23\nAnswer: -82.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 9 - (-25 + (4 - 1) - -25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, j: 3, c: 6, d: 3}. What is prob of sequence cic?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -25\/6, -0.1, 0.53?\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10414141 (base 5) in base 7?\nAnswer: -531425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1556.287 + -487.826. Let w = -1069 + s. What is w rounded to 2 decimal places?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in 758, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ygg when three letters picked without replacement from {y: 3, g: 6, x: 8}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 10*k**2. Let i(f) = -6*f - 5. Let q(g) = 2 - 1 + 2*g + 0 - g. Let z(p) = -i(p) - 5*q(p). What is a(z(j))?\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 z when two letters picked without replacement from {j: 1, i: 4, d: 1, p: 6, z: 6}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -5 - 3. What is the third derivative of h**4 + 3*h**2 - h**5 - h**4 - b*h**5 wrt h?\nAnswer: -180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19456976.\nAnswer: 2, 7, 11, 17, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 5*t. Let k(r) = 9778*r. Determine n(k(g)).\nAnswer: 48890*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (15 + -21 - -23) + -13 + 110\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 4 + -11 + 3 + 29 + -11 + 27?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.00274 - 0.002727004. Round z to seven dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n*(n\/(n**(-19)\/n))\/n*n**(-7\/4) assuming n is positive.\nAnswer: n**(81\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/8 (b) -0.127 (c) 0.4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w + 3*j + 9, -2*w + 4*j + 41 = 29 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 76951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -w**6\/120 + 4*w**5\/15 - 25*w**4\/24 - 19*w**3\/3 + 164*w**2 - 2*w. What is l(14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1657523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w + 9*w - 4*w.\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/60 and 107\/66?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 5 = 5*i - 3*o, -2 = -2*i - 5*o. Let n = 9 - 6. Let m be n\/(2\/(-4 + 2)). Which is smaller: m or i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 20\/9 of a week?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2284028719?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 13*o**2 + 86*o + 320. What is p(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -1\/4, -0.03, -0.2, 152 in decreasing order.\nAnswer: 152, 1, 0, -0.03, -0.2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g. Let i be (-3)\/(6 + -3) - (-3 - 0). Let c(m) = 25*m - 20*m - 5*m + 15*m**i. Give r(c(k)).\nAnswer: 45*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4335673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fourty-five eighths of a microsecond?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1629*m**2 + 3298*m wrt m.\nAnswer: 3258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 98640 + -182878567\/1854. Find the common denominator of 10\/2781 and i.\nAnswer: 5562","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 94 = 2*x. Let p = x + -14. List the prime factors of (-484)\/(-3) - (7 + p\/(-6)).\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41.2 + 41. What is the second biggest value in b, 1\/11, 242?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48904.8000032 - 48905. Let t = -0.2 - j. Let r = t - 0. Round r to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 62*t + 58. What are the prime factors of z(12)?\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -1679*h**8\/336 - h**7\/105 + 2103*h**5\/20 + 12*h**2 + 22*h. What is the third derivative of k(x) wrt x?\nAnswer: -100740*x**2 - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1341 and 1339 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p + 3. Suppose -3*t = -5*t. Let x be q(t). Let h be ((3 - 2) + -1)\/(-2). Solve h = 5*w - 7 - x for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, -233, -655, -1247, -2009, -2941?\nAnswer: -4043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 222130*n + 444255. Give d(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of 4*x**5\/55 + 23*x**4\/66 + 14*x**3\/33 + 349*x. Suppose r(a) = 0. Calculate a.\nAnswer: -2, -7\/8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -6*s**2. Let n(d) = 36*d**2 - 21*d**2 - 21*d**2. What is n(q(b))?\nAnswer: -216*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1495 - 912. What is the highest common factor of 53 and p?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2 = -b - 24, -2*h = 4*b - 24. Let d = h + 0. What is the remainder when d is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 - 16. Calculate the remainder when 221 is divided by q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 116*v + 1645. Let i be s(-14). What is the greatest common divisor of i and 1183?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -382*d**3 + 18*d - 8. Let t(h) = 3*h - 1. Determine -k(r) + 6*t(r).\nAnswer: 382*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*k**2 - 1084*k + 1108.\nAnswer: -4*(k - 1)*(6*k + 277)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/1787838 or 0?\nAnswer: 1\/1787838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 264\/(-710) + 252\/(-8946).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3211.8 + -3212. Let c be (2\/18)\/(-1)*(-2)\/3. What is the third biggest value in 3\/7, c, m, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 14*o**3 + 54*o**2 - 443*o + 18. What is z(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, -1421, 3, 3\/7 in ascending order.\nAnswer: -1421, -43, 3\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/3 - 9\/(-27). Let n(q) = 4499*q**3 + 2*q**2 - 2*q + 1. Let w be n(f). What is w rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 4626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v + 4*v**2 + v - 5*v**2. Let h(m) = -1. Let o(j) = -3*j + 11. Let u(z) = -22*h(z) - 2*o(z). Calculate u(c(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11348.7 + 12451. What is h rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a minute in milliseconds?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 510373 to the nearest integer?\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {l: 3, q: 5, n: 1, k: 6, x: 5}?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**2 + 470*k + 57671 = 0.\nAnswer: -101, 571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + y = 175, -3*y = -i - 2*y + 35. Suppose -j = 0, -3*h + 5*j = -2*h - i. Calculate the remainder when h is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 389 a factor of 2334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -18*x + 28 - 248 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 272 - 166 = 0. What are the prime factors of z?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -4*s + 32, 5*f - s + 13 = 7*f. Let h be (-4)\/(4\/(-11 - -3)). Suppose 234 = 2*l + 5*q, -5*l - 346 = -h*l - f*q. Is 7 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101 - 85 - (-1 + 95 - (75 + -78)).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -18.112694 - 1256\nAnswer: -1274.112694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13012 + 320201130?\nAnswer: 320122112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by 110068\nAnswer: 19\/110068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9052*k**3 + 9053*k**3 + 7*k**2 - 7*k**2.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 132288 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - 3*(-4)\/3. Let d = 15 + -11. Solve d*p + 19 = f for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 2*v + 4*t = -28, 0 = v + 5*t + 21. Let q(b) = -b**2 + 4*b + 3. Let z be q(v). Suppose f - 9 + z = 0. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 338, 789, 1476, 2399, 3558, 4953, 6584?\nAnswer: 8451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (-13 - 75) + (2 - 4).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1716680 (base 10) in base 14?\nAnswer: -329880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(1008) + 2 + -2 - (3 + 5*3*sqrt(1008)).\nAnswer: -168*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 857754*k**2 - 857754*k**2 - 354*k**3.\nAnswer: -354*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 e when four letters picked without replacement from eeebeeeeeebeeeebbe.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 4*m = -t - 335, -4*t + 2*m = -268. Calculate the remainder when t is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**4 + 119090*x**3 - 945534900*x**2 + 2502830800910*x - 2501885385095.\nAnswer: -5*(x - 7939)**3*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-18 + (15 - 7) + -12 - -12).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -19*h - 149. Determine m(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 440 + 520 = -96*x for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -7*x + 3. Suppose -5*p = 4*t - 18 + 118, p + 4*t = -36. Let z(q) = 36*q - 16. What is p*f(s) - 3*z(s)?\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 19\/9 of a day?\nAnswer: 3040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 85*n - 1. What are the prime factors of q(1)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 225 - 0. Does 6 divide (-6)\/(-8) - h\/(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 36 = -y. Calculate the common denominator of (-5 + 8)\/(-570)*295\/y and 13\/114.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 4:46 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -27, -32, -17, 30, 121, 268, 483?\nAnswer: 778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49 - -9. Let z = -540 + 607. Let p = z - l. Calculate the remainder when 17 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -8*l**2. Let k(q) = 23*q - 2. Determine k(s(o)).\nAnswer: -184*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -11. Let a = 37 - 39. What is the second biggest value in -2\/11, f, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - t - 1. Let u(r) = 6*r. Let g(w) = -u(w) - y(w). What is the remainder when 27 is divided by g(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmmmmmmmmhymhymh. What is prob of picking 2 y, 1 m, and 1 h?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 513\/(97\/(-22) - -1 - 1351\/(-386)).\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7384 + 0.\nAnswer: -7384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 19*k - 2. Let o(l) = -26*l - 1. Let d(g) = 55*g + 4. Let p(x) = 2*d(x) + 5*o(x). Give -5*c(u) - 4*p(u).\nAnswer: -15*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e - 75d08?\nAnswer: -75d17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -47, -4, -25, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1598070 and -5.\nAnswer: -7990350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 k when three letters picked without replacement from {l: 5, k: 14}?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 (base 7) in base 11?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p**3 - 33*p**3 + 42*p**3 - 33*p**3.\nAnswer: -32*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2674440 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 4:37 AM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8976 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/6906 and 38\/12661.\nAnswer: 75966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -20. Let y = 27 + g. Let k(h) = 2*h**2 - 7*h - 5. Let m be k(-5). Calculate the highest common factor of y and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 7632876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-21)*(3480\/(-4176))\/((-4)\/(28\/5)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5683 by -4.\nAnswer: 5683\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-15)\/(-10))\/(6\/(-20)). Let p be 2107\/u + (-3)\/5. Let f = p - -609. What is the highest common factor of 17 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 + 1 + 2 + 0*l**3)*(l - 2 + 2).\nAnswer: 2*l**4 + 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-252)\/(-252)*((-105)\/6)\/(-5)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8186 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43038436 to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {h: 16, i: 2}.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, 11034, 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 488 * 0.5.\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -250*c + 19*c + 473441*c**2 - 473440*c**2 + 12*c + 1 in the form m*c + p*c**2 + d and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4*b - 12. Let h = 75 + -81. What is the smallest common multiple of i(h) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46)\/(-10) + (-40)\/(56\/7).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 971209366 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -3. Suppose 4*z = 3*k + 122, 2*z + j*k = 4*z - 60. Calculate the highest common divisor of z and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -1212\/13, -3, -1\/4 in ascending order.\nAnswer: -1212\/13, -23, -3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*y + 6 = 0, -n = -4*n + 4*y + 12. Suppose n*f = 6*f + 18. Is -12\/5 not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29551920 divided by -1970128?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1268677 - 66?\nAnswer: 1268611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 4:30 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2265 or 2264?\nAnswer: 2265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1531950 and 2100?\nAnswer: 3063900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3715823643.\nAnswer: 3, 7, 176943983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 238 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - -6. Suppose -4*w = w + u. Put -4, w, 3 in increasing order.\nAnswer: -4, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 10*j - 7. Let b be t(-9). Let c(m) = 13 - m - m**b + 5*m**2 - m**3 + 3 - 20. Determine c(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 890521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of v**6\/180 - v**4\/12 + 2*v**3 + 1. Let y(j) be the third derivative of l(j). Factor y(r).\nAnswer: 2*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1110640566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.092 - -0.092. Sort 1\/3, 6, 0.1, a in ascending order.\nAnswer: a, 0.1, 1\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s + 4. Let a = -14 + 14. Suppose 3*f + 2*t - 18 = a, 2*f - 2*t + 2 - 4 = 0. Let p be g(f). Solve -3*l - 9 = -4*m + m, -5*l + m - 15 = p for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.5 * 2379832.\nAnswer: 22608404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -q**4 + 412*q**3\/3 - 600*q**2 - 1098. Solve v(c) = 0.\nAnswer: 0, 3, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -320, -650, -1202, -1976, -2972?\nAnswer: -4190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/3)\/(32\/47904). Let r = 639 + f. Does 20 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*b = -280, 3*q - 2*b - 45 = 362. Let g = 302 - q. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 156.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9201759.\nAnswer: 3, 7, 62597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 4 - 1 + 512*i**3.\nAnswer: 512*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t - 66. Calculate b(0).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/12)*(i*i*i\/i**(-1\/3))\/i*(i*((i*i**(-8))\/i)\/i)\/(i*(i**(-16)*i)\/i) assuming i is positive.\nAnswer: i**(37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*y + 13, -4*i = 3*y - 8*y + 16. Which is the fourth smallest value? (a) y (b) -0.5 (c) -2 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -195 + 193. What is the second smallest value in -0.3, 0.05, t, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n - 20. Let v be z(-8). Suppose 68 = -3*u - s - 3*s, v*u = 3*s - 74. Let i be 4\/u + (-2)\/(-10). Solve i = k + l + 5, 2*k - l - 4 = 4*l for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 + 125.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r. Let y be l(7). Let h be -25*y\/(35\/(-3)). Suppose -3*a + 18 = -h. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 8 = 9. Let x be 3\/((-4 - -3)\/a). Is 32 a factor of 3 - (-2 - x - 128)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/18 of a hour in seconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 75 + 111 = -72*g. Sort -6, 4, -5, -2, g in decreasing order.\nAnswer: 4, -2, g, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, c: 3, x: 3}. Give prob of picking 1 x and 1 y.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - -16 - (2 + 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.97 + -0.03. Suppose -4*b = 2*h, -3*b - 2*h - 2 = -0*b. Let v be (-3)\/2*(-8)\/(-12) + b. What is the nearest to v in m, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -814 - -804. Let d = -0.042 - 9.758. Let s = d - x. Sort -1\/3, s, -1.\nAnswer: -1, -1\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 5)*(-27)\/(-162)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + l = -87, -n - 3*l - 2*l + 29 = 0. Let h = 47 - n. What is the smallest common multiple of -7 - (-4 - -5)*-11 and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99479671 to the power of 1\/3, to the nearest integer?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 21, 153035 in descending order.\nAnswer: 153035, 21, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 22116, -9, 0.2?\nAnswer: 22116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 808 + -726. Solve u*v = 80*v - 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from njnjjjjjjjj. What is prob of sequence jjn?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.52855316 + 18670.41921316. Let k = 18591.89 - l. Let z = 70 + k. Round z to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -33*b**5 + 456*b**4 - 1599*b**3 + 1476*b**2 + 324*b = 0?\nAnswer: -2\/11, 0, 2, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/((-20)\/(-8)) - 0. Find the third derivative of 2*s**5 - s**2 - 4*s**q + 3*s**5 wrt s.\nAnswer: 300*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1842 != -1843?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2302 + -6904\/3. Which is the closest to t? (a) -5 (b) -32 (c) 0.2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 2 (b) 0.6 (c) 0 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1545443849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 76 + -74. Let y(z) = z**2 - 7*z + 2. Let b be y(6). Put j, -2, b in decreasing order.\nAnswer: j, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2333*0.649.\nAnswer: 1514.117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3851.1 and 0.3.\nAnswer: -1155.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -c**7\/560 + 7*c**6\/720 - c**5\/120 - 2*c**3\/3 + 5. Let r(m) be the third derivative of s(m). Find v such that r(v) = 0.\nAnswer: 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and 0.2015108.\nAnswer: 0.6015108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-48)*-6*8\/144?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3*((4\/(-4) - -1) + 42)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v - 1. Let l be c(-4). Let a = 9 + l. Calculate the lowest common multiple of a and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56115.\nAnswer: 3, 5, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 - 3*u**2 + u**2)*(-u**2 + 2*u**2 + 0*u**2) + (-7 + 7 - 5*u**3)*(1 + u - 1) - 29*u**4 + 94*u**4 + 355*u**4.\nAnswer: 413*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + (1 + (20 - 3) - (-302 + 306))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kkkkkkkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000012554 to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -270 or -269?\nAnswer: -270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/5, 2\/9, 0.2, -3\/5, 22\/5, 2070?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31872*m - 350087 + 350087 - 31875*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1764540*k**3*s - 118529873*k**3 + 5*s**2 with respect to s.\nAnswer: 1764540*k**3 + 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 7 - (27 + 2) - -12) + -12\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/16)\/((-40)\/160).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k + 149 = 93 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i + 7. Let p be o(-6). Let h = -1 + p. Suppose -5*m + 3*q + h - 2 = 0, 5*m = -3*q + 22. Sort m, -4, 5 in decreasing order.\nAnswer: 5, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 6*(-1)\/(6 + -7). Sort 0.4, i, -0.4.\nAnswer: -0.4, 0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d*z**5 - 914*d*z**2 - d + 1414*z**5 - z**3 + 2*z wrt z?\nAnswer: -120*d*z**2 + 84840*z**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 604808*z**3 - 2*z + 534454.\nAnswer: 1814424*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 85?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-538)\/(-8) + 1\/(-4). Suppose 4*p - 41*p + 222 = 0. Let z = f + p. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = -a - 42*o + 39*o, -a = 13*o + 67 for a.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -462*b**3 + 3*b - 3*b - 184*b**3 - 39*b**3.\nAnswer: -685*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 2:28 AM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 770?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170910765 divided by -3.\nAnswer: -56970255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 64*n**3 - n**2 + 13*n - 29. Is o(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43872288?\nAnswer: 2, 3, 457003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41\/9 + -29\/45. What is the common denominator of o and -10\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 1410801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l, 841 = 5*m + 2*l + 851 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 214074?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1520 or -3048?\nAnswer: -3048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 8*n**2 + 2*n + 3. Give m(8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 2. Suppose 0 = -l - 5*m + 13, x*m - 11 = l - m. Which is bigger: -2\/3 or l?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 8:49 AM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 84 = -64. Suppose 3*k = -4*s + 27, 2*s - 76 = -5*k - 17. What is the remainder when z is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/825 and -49\/8125.\nAnswer: 268125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -535.912? (a) -0.2 (b) -3\/4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 13. Let u be b(-3). Let w be -4 - (-4)\/(u\/(-133)). Suppose -61*c + w = -60*c. Calculate the remainder when c is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -475713 divided by 2517\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 459 and 7418169?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 54.55183 and -232?\nAnswer: 286.55183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -0.5, -3367, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-24)*-15 - 12\/(-16). Which is the third biggest value? (a) 2 (b) s (c) -0.2 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 123267774 and 24?\nAnswer: 493071096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -7.901 (c) -0.1 (d) -30 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of x**4\/4 - x**3\/3 - x**2\/2 - x - 20. Let f(k) = k**3 + 3*k**2 + 3*k + 3. Determine 3*d(g) + f(g).\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 24*w - 211. Calculate the remainder when d(-7) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = l - 35. Let x(j) = 20*j**2 - 6*j + 4. Let y be x(1). Calculate the greatest common divisor of y and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -158 - -153. What is the second biggest value in m, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1330?\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r - 5. Let m be j(5). Suppose m = 5*k - 176 + 16. What is the highest common factor of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 6*(-5 + sqrt(44)\/((sqrt(4) + sqrt(484))*5)))*4 + -5.\nAnswer: -117 + 2*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4646096093 + 0.277.\nAnswer: 4646096093.277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -94*t. Let n(r) = -41753*r**2. What is n(d(s))?\nAnswer: -368929508*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/11*270\/(-405).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**19*m**(-2\/115) assuming m is positive.\nAnswer: m**(2183\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of d**5\/5 + 7*d**3\/3 + 3. What is the third derivative of c(i) wrt i?\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 8. Let b(u) be the first derivative of 0*u**4 - 1\/3*u**6 - 2 + 0*u**5 + 0*u**2 + 1\/3*u**r + 0*u. What is the third derivative of b(c) wrt c?\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -13*r + 4 + 5*r + 3*r + 8*r. Let k(m) = -2*m + m + 0*m - 15 + 14. Suppose h = -3*t + 10, -15 = -h - 0*t - 4*t. What is h*k(a) - z(a)?\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/50 of a century?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 14*r - 6. What is the hundreds digit of f(23)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 + -26. Let q = d - 34. Let b = q + 15.00029. Round b to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-3) - (-2 + 1). Solve -3*y + 9 = -b*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 7*f**3 - f**2 + f. Let p(q) = -q**3. Let z = 311 + -317. Calculate z*p(w) - o(w).\nAnswer: -w**3 + w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5*z + 7 = 13, -3*z = -s + 10. Solve -s*y - 1 = -3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*j - 2*d, -71*j + 4*d - 8 = -79*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 10:45 AM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 10 + -8 - -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((205\/(-123))\/((-20)\/6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d + 9. Let p be h(7). Suppose -p*c = 13 - 47. Suppose 0 = 2*k + 5*k - 952. What is the highest common divisor of k and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 16942 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**4\/7 + 30*w**3\/7 - 6*w**2 - 166*w\/7 - 96\/7 = 0.\nAnswer: -16, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -4*f**3 + 0*f + 31\/24*f**4 + 0 + 15*f**2. Differentiate v(c) with respect to c.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 6 + 4)*(7*n**2 - 7*n**2 + 3*n**3) - 2*n + 2*n + 5*n**3 in the form h + p*n**2 + t*n**3 + j*n and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - v + 12735 + 12216, 0 = 2*v + 6. Suppose -4*q - c + 29509 = w, -3 = -c. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3380.6 - -3381. What is the second smallest value in v, 1, -27, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 213 and 497.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.016 + -499.016. Is -7 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - g**2 + 12*g + 5. Give k(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -117 - -121. Suppose k*w + 255 = o, -o - 4*w = -314 + 99. Is o a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(3\/2)\/t)\/(t*t\/((t*t**3\/t)\/t)*t))**18 assuming t is positive.\nAnswer: t**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 3*t - 7. Let m be z(5). Suppose 2*v = 3*n - 88, m*v - 61 + 24 = -2*n. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 715.\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i - 59*i**3 - 2*i**2 - 1 + 9*i**3 - 7*i**3. Let l be q(-1). Calculate the greatest common factor of l and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*h = 33*h + 4797. Suppose -h = -3*d - 2*d + 2*p, -5*p - 20 = 0. List the prime factors of d.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -956686*k - 24 = -956691*k + y, 0 = -3*y - 87 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**3 + 5*x**2 + 4*x - 12. Calculate the least common multiple of a(3) and 440.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -7, -2, 3, -3 in descending order.\nAnswer: 3, -2, -3, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66 + -55. Let k = f - 11. What is the closest to k in 8, -5\/4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = k - 2*n - 10, 2*n = 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -11*h**2 - 6. Let l(i) = -10*i**2 - 6. Let u(s) = 4*l(s) - 3*m(s). What is the first derivative of u(g) wrt g?\nAnswer: -14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 857200 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 527 + -544. Let l(h) be the first derivative of h**2\/2 + 23*h - 1. Let k be l(m). Solve -k + 3 = z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -684 + 612. Is 40 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2. Let n(w) = 1. Let z be (1\/(-2))\/((-5)\/40). Let u be -4 - (4 - 11) - z. Let h(b) = 13*b + 3. Let r(v) = u*h(v) + 3*n(v). Give r(s(d)).\nAnswer: -13*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-696)\/232*-1*24\/(-40).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 11*k**2 + 34*k + 1. Let t be b(14). Round t to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2)**(-24)\/(((n*n**2)\/n)\/n**(-1)) assuming n is positive.\nAnswer: n**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -10. Let x(m) = 3*m + i*m - 4*m + 10*m - 17. Let n be ((-9)\/(27\/34))\/(2\/(-3)). Let u(s) = 5*s - 6. What is n*u(f) - 6*x(f)?\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - -2) + 36\/2. Suppose -122 = -2*z - 4*w, 2*z + w = -z + 188. Let g = z - u. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -167, -413, -1025, -2165, -3995, -6677, -10373, -15245?\nAnswer: -21455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000120273632 to 6 decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 22. Let c(k) = -4*k**2 - k + 15. Let w be c(-2). Put w, 33, m in increasing order.\nAnswer: m, w, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 2*i - 12 = 0, 4*j = -0*i + 5*i - 23 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -2\/7 (b) 1\/3 (c) -0.017 (d) 8\/227 (e) -4 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32161485 plus 301?\nAnswer: 32161786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-629)\/(-37)*(-1 - -18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/54)\/((4\/(-3))\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -1\/11 (b) 2\/5 (c) 2 (d) 2\/7 (e) -1\/1660\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3579623?\nAnswer: 3579623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3*l + 714 = 0, -3*i - 3*l = -8*l - 712. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence grp when three letters picked without replacement from {p: 1, g: 1, m: 2, r: 4, e: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 93*a - 94*a - 1. Let y be 1086\/12 - (a + 2\/4). Calculate the highest common factor of y and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3*u = 5150, 5659 = 5*m + 5*u + 509. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 450 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + 20. Let b(f) = -f**2 - 2*f - 1. Let m be b(j). Solve 4*l - 8 = m, 0*l - 16 = 5*w - 3*l for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00057574 to 6 dps.\nAnswer: -0.000576","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196 is divided by 96?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23682 - 15506. Is r a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, j: 1, b: 2}. Give prob of sequence blj.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + 8209012642?\nAnswer: 8209012642.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 3 = a - 12*k, -3*k + 4*k = a - 12 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -66 + 68. Let d = q - 23. Which is the nearest to -2\/3? (a) -1\/4 (b) -0.3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of j**4\/34 - 4*j**3\/17 + 9*j**2\/17 - 8*j\/17 - 11. Factor b(h).\nAnswer: 2*(h - 4)*(h - 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*u - 228 = -3. Solve 3*x = f - 8, 0 = u*x - 2*f - 3*f for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18 or 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1364 and 47399?\nAnswer: 189596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.496 rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 63 - 163. Suppose 5*p = -3*v + r, 2*v + 20 = -0*v + 4*p. Suppose 4*j + 8 + 4 = v. Put 1, j, -5 in decreasing order.\nAnswer: 1, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 13 - 16 - 5919*p + 20.\nAnswer: -5919*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 827*k - 5*t + 170 = 832*k, -37*k + 4*t + 204 = 7*t for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*u + 4634 = -125*u - 87*u for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -3. Let u(s) = 11*s - v*s + 3*s - 2*s. Let w(f) = -2*f**2. Give u(w(x)).\nAnswer: -20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1761800 to the nearest ten thousand.\nAnswer: 1760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 72*w - 23. Determine v(3).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = j, 0 = -u - 5*j + 10 - 28. Let r be u\/(-8) + 102\/24. Suppose r*h - 5*p - 94 = 20, -h + 5*p = -21. Calculate the remainder when h is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d - 7. Let a be l(6). Let b = 920\/9 + -102. Suppose 0 = 3*q + q + 4. What is the nearest to a in q, -2\/3, b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 = -69*w + 3*k, 19*k + 16*k - 22 = -4*w + 33*k for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144464?\nAnswer: 2, 9029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 + 2799*q**2 + 159698*q + 1973520.\nAnswer: (q + 18)*(q + 40)*(q + 2741)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u - 2. Let d(y) = -7*y + 3. Let n(q) = -q. Let v be n(-3). Let b(w) = v*d(w) + 5*h(w). What is the units digit of b(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*h**4 + 27*h**3 + 469.\nAnswer: -28*h**3 + 81*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15046 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-6)*1034\/(-329)*189\/(-144)\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5331370*s - 4801885?\nAnswer: 5331370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(2\/18*-3*-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-11 - (-11 - -9))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 2*j**2 + 6*j + 15. Let f(s) = -s**3 - 9*s**2 + 6*s + 58. Let m be f(-9). Let g be v(m). Solve -27 = 5*h + 3*y, 2*y = -g*h + 3*h - 20 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)\/(sqrt(3) + sqrt(3) + (-4*sqrt(3) - sqrt(3))) + 1)**2.\nAnswer: -2*sqrt(17)\/3 + 26\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 4*u - 0*u - 239, -s + 183 = 3*u. Calculate the remainder when 180 is divided by u.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**2\/4 - 927*r\/4 - 465\/2 = 0. What is r?\nAnswer: -1, 310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 2*d**2 - 2*d - 9. What is x(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -111 + 72. Let t = d - -38.999936. Round t to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -186*w - 96. What is the hundreds digit of j(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -4*r + 3. Suppose -11 - 11 = -2*t. Let f(z) = -t + 6 - 1 - 4*z + 8. Give -4*f(s) + 3*q(s).\nAnswer: 4*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2796480 is divided by 2477.\nAnswer: 2424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 114, 2, 5, -14, -2, -53.\nAnswer: -53, -14, -2, 2, 5, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-400)\/30)\/8*180\/(-25)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.1 (b) -2 (c) 2 (d) -2.4402\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = -3*y + 3*t, -62 = -0*y + 4*y + 2*t. Let u = -12 - y. Solve u = f + 2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 451 + (2 - 6) + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10685 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 9 - (-38 - (2 - (-9 - -6)))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1704*h**2 + 1323*h**4 + 283*h**4 - 82*h - 236*h**4 + 82*h wrt h.\nAnswer: 32880*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 9:44 AM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 375 - 374.352. Let w = -1.241 + r. Round w to 2 dps.\nAnswer: -0.59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 5) to base 12\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 269, 808, 1627, 2726, 4105?\nAnswer: 5764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from ooorro?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/5 and 43\/599870?\nAnswer: 599870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -361, -842, -1323, -1804, -2285?\n\"Answer: -481*o + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 5.43, 1\/183, -1\/5, -5, -1\/9?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 515269678.\nAnswer: 2, 7, 11, 3345907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c - c - c)*(3*c - 6*c + 4*c) + 3*c**2 + 0*c**2 + 0*c**2 + 51413*c - 102832*c + 51419*c + 7418*c**2 to p + t*c**2 + g*c and give t.\nAnswer: 7419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 780 and 24637980.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 (base 10) in base 6?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/4 in 4.4, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 41*s**2 - 31276*s + 62555. Give g(2).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((7\/(98\/(-210)))\/((-6)\/(-8)))\/2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 3, -43, -5, -1\/5 in increasing order.\nAnswer: -43, -5, -1\/5, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -941*m**2. Let v(j) = -761261*j**2. Calculate a(v(x)).\nAnswer: -545326729823861*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -57 - (-7 + -31) - -68\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 10*u + 1. Suppose -6*k - 5 = -5*k. Let o be a(k). Let b = o - -28. Solve b*y + 0 = 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16460774?\nAnswer: 2, 11, 748217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 9*k + 4. What is l(7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 650926 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -29, -156, -369, -668, -1053, -1524?\n\"Answer: -43*x**2 + 2*x + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**3 - 102*f**2 + 419 with respect to f.\nAnswer: 3*f**2 - 204*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3147 is divided by 83.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.44 + 4.44. Which is smaller: 26\/5 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1450171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33018?\nAnswer: 2, 3, 5503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from auallaagvtttvav. Give prob of sequence gt.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 m when four letters picked without replacement from xxznzxmxxxnmxnznzxn.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -308 (c) -32 (d) 0.2 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 673 + -653. Let x(a) = -4*a**2 + 79*a + 50. Let k be x(c). What is the highest common factor of 12 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 + 36. Let f be 14\/49*(g - -1). Put 1\/5, 1\/3, f, 2\/15 in ascending order.\nAnswer: 2\/15, 1\/5, 1\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 divided by -17\nAnswer: -33\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -596 and -5030301434.\nAnswer: -5030302030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -48*c - 50*c**4 - 50*c + 41*c**4 - 1671 + 67*c wrt c.\nAnswer: -36*c**3 - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19.9466 + -20. Let o = w - -26.1334. Round o to the nearest integer.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 3*g + 2 - 3*g**2 - 1 - 5*g. Let d(x) = -3*x**3 + 9*x**2 + 7*x - 2. Let b(q) = -3*d(q) - 8*t(q). Let c = 4 - 0. What is b(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 575*l**4 - 71*l**2 + 46*l - 11. Let f(r) = 115*r**4 - 14*r**2 + 9*r - 2. Let g(k) = 11*f(k) - 2*x(k). What is the third derivative of g(o) wrt o?\nAnswer: 2760*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3462*f + 100402. Give u(-29).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(1\/2))**22*(y**7\/y*y)\/((y\/y**(-4)*y)\/y))**(-1\/4))**(1\/68) assuming y is positive.\nAnswer: y**(-13\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 9*v**2 - 1. Suppose g + 4 = -s + 1, 3*g + 2*s + 5 = 0. Let x be o(g). What is the remainder when 13 is divided by (x - 2)*(-2)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.04 + 0.04. Let k = m + 0.3. Which is the smallest value? (a) 4 (b) k (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -116*b**2 - 122*b**2 - 88*b**2 + 97*b**2 to the form h*b + n*b**2 + l and give n.\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 14*x**2 + 2*x + 3. Determine b(3).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -5. Let z be 14\/70 - (-44)\/5. Suppose -o*v = -3*b - 0 - z, -5*v + b = -14. Solve v*x = -x - 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/2 (b) -47 (c) 0.2 (d) 19 (e) 2\/41\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wxy. What is prob of picking 1 w and 1 x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1524 (base 6) to base 16.\nAnswer: -19c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g**4 - g**3 + 6*g**2 + 6*g - 2. Let q(t) = 5*t**4 - t**3 + 7*t**2 + 7*t - 3. Let h(i) = 6*b(i) - 4*q(i). Suppose h(u) = 0. What is u?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 - 41 = -46*t. Determine j so that 1\/11*j**t + 0 - 1\/11*j**2 + 0*j = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*s - 1755 - 181, -3*s + 1940 = 2*z. Suppose 5*p - s = n, -p - 2*n = -4*n - 127. Does 43 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149653.\nAnswer: 7, 21379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 7*a**2 - 8*a + 3. Let g be n(-8). Suppose 2*s = -2*d - 10, -5*d = g*s - 0*d + 7. What is the tens digit of (s - -8)\/(1\/(-31))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 19 = -4*p. Let u be (-4)\/(-14) + (-912)\/p. Let o = 207 + u. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/33)\/(i*i*i**2*i*i))\/((i\/(i**(-3)\/i))\/i**(-1\/6)))**16 assuming i is positive.\nAnswer: i**(-1976\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -1 - 3) + -27 + (-19 - -5) + 7.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 54*o**2 + 176*o - 79. Give f(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/2 (b) 1 (c) -0.3 (d) -747\/130 (e) 2\/3 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -177509, -351004, -524499?\n\"Answer: -173495*d - 4014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 4*p - 51528, 0 = -59*r + 60*r + 4*p - 25774. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 61 = 34*m + 22 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 54056, 108115, 162174?\n\"Answer: 54059*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -y**4\/4 - 16*y**3\/3 + 15*y**2\/2 - 28*y - 2372. What is g(-17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*i - 199*i + 62*i + 66*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 74*x + 6*x - 247*x - 178*x as f*x + l and give f.\nAnswer: -345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/5, -47, -3\/4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 4*s**2 + 2*s + 2. Let p be r(-3). Let i = 7 - p. Let j = i + 1. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5*r - 24, 2*s + 4 = 2*r - 3*r. Suppose 128 = 4*p - 2*x, 0 = -r*p - x + 106 + 34. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(1\/4)*y))**14\/(y\/(y**7*y*y)*((y\/y**(-4)*y)\/y)\/y))**(-4) assuming y is positive.\nAnswer: y**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*j - 5*j - 184. Sort -27, j, 5.\nAnswer: -27, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 9 = -0*x - x, 0 = 5*x + 4*m + 24. Let s be 2\/5*5\/3. What is the smallest value in s, x, -0.06?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-25)*-5*(-2 - -1)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/7 and 261499178 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g - 8. Let v = -1 - -1. Let d be t(v). What is the units digit of (-6)\/d - (-75)\/12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51)\/68 + 34\/(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 60141559 from 1521.\nAnswer: -60140038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - q - 3*q)*(-q + 0*q + 2 + 0).\nAnswer: 5*q**2 - 10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 79*m + 3. Let x be j(0). Put -4\/5, 1\/43, -13, -4, x in increasing order.\nAnswer: -13, -4, -4\/5, 1\/43, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/15*5\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1770 - -10571\/6. What is the common denominator of (26\/12)\/(9\/6*2\/(-6)) and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -10) + 16 - 18?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85360 is divided by 67?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -17395, -17394, -17393, -17392, -17391, -17390?\n\"Answer: c - 17396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*w + 337 = -3*q, -2*w + 4 = 0. Suppose n = 4*s - 3430 - q, 0 = 5*s + n - 4699. Is s a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14004 is divided by 506?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 17, -4, 5 in descending order.\nAnswer: 17, 5, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) + 2*sqrt(121))*-4)\/(sqrt(1584)\/sqrt(4) - sqrt(11)).\nAnswer: -12*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-2 - 9\/(-4)). Let m(y) = -y**3 + 6*y**2 - 2*y - 3. Let u be m(x). Let j be 44\/3 + 2\/(-3). What is the highest common divisor of j and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -326 at least -359?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -108263 or -109171?\nAnswer: -109171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -883*p**3 + 1408*p wrt p?\nAnswer: -5298*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -115271187, -230542367, -345813545, -461084721?\n\"Answer: q**2 - 115271183*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3*x + 3\/4*x**4 - 1 - 1\/4*x**3 - 11\/4*x**2 + 1\/4*x**5 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -20922.81?\nAnswer: -62768.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2315528 to the power of 1\/2, to the nearest integer?\nAnswer: 1522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 2, x: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-360)\/(-225) - (-274434)\/5*4\/8?\nAnswer: 5, 11, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 611023?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.42 - 0.02. Which is the second biggest value? (a) p (b) -1\/4 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/10201 + 20392\/51005. Let q = -0.014 + -3.086. Let u = q + 3. Which is the third smallest value? (a) u (b) t (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-8) + 6\/8. Let k be ((-2)\/(-4))\/((-1)\/p)*1. Put k, -4, -12 in descending order.\nAnswer: k, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -60.744682 to two decimal places.\nAnswer: -60.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -l**3\/12 + 5*l**2\/4 + 11*l\/4 + 65. Find c such that m(c) = 0.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79073*o + 79074*o + 5*r - 347 = 0, 4*o - 1 - 267 = -4*r for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(((-2)\/13)\/1). Let t be 2832\/112 - -1*4\/(-14). Let a = p - t. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 114, 5, 0.5, -3\/7, 4 in ascending order.\nAnswer: -2, -3\/7, 0.5, 4, 5, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 19\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000004496038049 to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**2 - n**2 - 3*n**2. Let x(y) = -42*y - 8*y**2 + 23 + 1 - 171. Let v(o) = -5*d(o) + x(o). Solve v(c) = 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2924 + 7?\nAnswer: -2917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 14*j**2 + 51*j + 13. Determine z(-17).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 12 + 217*t - 21 in the form p*t + s and give p.\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 33?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1917260343 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2. Let f be 0\/(((-4)\/10)\/((-3)\/15)). Let k(g) be the third derivative of -1\/8*g**4 + 0 - 3*g**2 + 0*g + f*g**3. What is k(j(x))?\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -10. Let b = 188 + -188. Factor 1\/3*r**4 + 0*r**2 + x*r + b - 1\/3*r**3.\nAnswer: r**3*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 756\/(-81)*(-12)\/16.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and -22.30086.\nAnswer: -27.30086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9656820 is divided by 1379537?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309035 is divided by 7721?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-11)*z\/((z**(-5\/4)*z)\/z))\/(z*z*z*z*z**5*z)**(-6\/7) assuming z is positive.\nAnswer: z**(-5\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4114 = -4*b, 81*b + 2*t = 79*b + 2064. Calculate the remainder when b is divided by 340.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-5)\/(-1)) + (-251)\/(-5). Let s be ((-10)\/o)\/(1\/(-5)) - -2. Let h be (s\/2)\/((-3)\/(-4)). Solve 0*t = h*t - 3*x - 12, 20 = t - 5*x for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 - 34. Let r = -19 - y. Is (147\/r)\/((-2)\/4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 666943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33.8 + -45. Let v = -11 - l. What is the closest to 3 in v, -4\/5, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**3\/5 - 384*f**2\/5 + 7548*f\/5 + 65712 = 0. Calculate f.\nAnswer: -20, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008231094813 rounded to seven decimal places?\nAnswer: -0.0008231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-4))**(7\/5))**(-2\/13) assuming q is positive.\nAnswer: q**(56\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - 1) + -27 + 60?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1*sqrt(275))**2.\nAnswer: -1650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 16, -320, 4?\nAnswer: -320","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and 15368799?\nAnswer: 15368799.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1827, -3652, -5477, -7302?\n\"Answer: -1825*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -421271 and -421270 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -5*a - 25, -594*a + 6 = -596*a for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 5\/(40\/24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42.1 - -42. Let p = -183\/44 - -54\/11. Which is the nearest to 0.1? (a) p (b) 2\/3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -5*y**2 + 4. Let c(a) = -32*a**2 - 2. Determine k(c(h)).\nAnswer: -5120*h**4 - 640*h**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 4:25 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v + 4*v - 5*v. Let k(d) be the second derivative of -d + 0 + 0*d**2 + 1\/6*d**3. Determine k(a(c)).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 - (-6 - -4) - 4 - (-5 + 44 + -35).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -727 - -2236\/3. Find the common denominator of j and (-1)\/3 + -2 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/90 and 29\/22?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/12, 0.2, -0.2, -77, -470.\nAnswer: -470, -77, -5\/12, -0.2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*g + 96*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-538)\/(-30) - 18)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102643900 rounded to the nearest 1000000?\nAnswer: -103000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 0 + 10 - 4) + -9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 12, 5*u + 897404 = -2*c - 3664108. What is u rounded to the nearest ten thousand?\nAnswer: -910000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of 5*f**4\/4 - 13*f**3\/6 - 159*f. Let v(z) = -7*z**2 + 6*z. Give 13*v(s) + 6*x(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*r, x - 15*r + 0*r + 13*r = 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 8 - (-94 + 77)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10309173 less than 10309171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 132511613\/2123828 + 3\/75851. Let s = o + -251\/4. Sort 0.3, 2\/9, s.\nAnswer: s, 2\/9, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -5*t**3 - 20. Let l(u) = -26*u**3 - 100. What is 14*j(z) - 3*l(z)?\nAnswer: 8*z**3 + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4535*m + 73920 - 37934 + 37436 + 71698 for m.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2440222 (base 5) to base 11.\nAnswer: -31882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -e (base 16) in base 9?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 - -33. Suppose 43 - 503 = -y*k. Suppose -z = z - k. Is z a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1086 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8 times -0.04?\nAnswer: 0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 - 990920*v - 1981820.\nAnswer: -5*(v + 2)*(v + 198182)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -1151548, 48 in descending order.\nAnswer: 48, -2, -3, -1151548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -507*z**4 - 1935*z**2 - 9945846*z wrt z.\nAnswer: -6084*z**2 - 3870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 53\/10, 1\/8, -5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*t - 2)*(-4 + 4 - 1) + 39*t + 28*t - 8*t.\nAnswer: 61*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 109 + -52. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000113122287 to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 41*n**2 - 25*n + 724. What is w(-42)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -48*t + 14447. What are the prime factors of w(0)?\nAnswer: 14447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 + -1.3. Let k = -4277 + 64199\/15. Let u = k - 18\/5. Which is greater: u or n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1288 + 1432. Calculate the highest common factor of h and 468.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7686\/756 + (-10)\/(-12).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*g - 1349 + 590. What is the highest common divisor of g and 759?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-154))\/(5748\/(-80472))?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.6, 2, 780, 3\/7, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00015498704 rounded to 6 decimal places?\nAnswer: -0.000155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 29298, 29319, 29390, 29535, 29778, 30143, 30654, 31335?\n\"Answer: 4*b**3 + b**2 - 10*b + 29303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + v + 4*v = -25, v + 5 = 5*s. Let x be ((-3)\/(-78))\/((-2)\/(-12)). Do s and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-2)*(1 + -1). Solve -3*p + 8 + 1 = w for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*m**4*o**2 + 8*o**2 wrt m.\nAnswer: 52*m**3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45552, -45558, -45566, -45576?\nAnswer: -45588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18.00584 - 18. What is k rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2656*b + 18592. What is u(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5*g = -48, -2*k + 0*g = -5*g - 32. Suppose 4*m = 0, 4*m = 2*h - 22 - k. Is (-92)\/(2 + -3) - (-22 + h) 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 73283658?\nAnswer: 2, 3, 7, 23, 107, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 62690 - 6a9?\nAnswer: 61a92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 3*h - 2, 5*h = -0*h + 10. What is the common denominator of r\/((24\/(-46))\/((-7)\/(-21))) and 49\/92?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62 (base 10) to base 7.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 580362676.\nAnswer: 2, 19, 7636351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 - -398\/11. Factor -2\/11*o**3 - x*o**2 + 2\/11*o + 2\/11*o**4 + 0.\nAnswer: 2*o*(o - 1)**2*(o + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + 15. Let u = 100 + b. Suppose 2*y + 12 = u. List the prime factors of y.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(121) - sqrt(121) - (sqrt(121) + 5*(sqrt(121) + sqrt(121) + 1*sqrt(121)) - sqrt(121)))\/(sqrt(99)\/(1*sqrt(900))).\nAnswer: -100*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3087)*-2 - sqrt(3087))*2*3)\/(sqrt(72)\/(sqrt(8) + sqrt(32)))*6.\nAnswer: -2268*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -5. Let v be z + 1 + -2 + 0. Let o = 3 + v. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*f - 157*f - 16 = 4*t, t - 16*t - 5*f + 4 = -7*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8320150 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 111 + -151. Let g = 42 + r. Sort g, 13, 1 in increasing order.\nAnswer: 1, g, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/(-5) + 186\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 p, and 1 a when three letters picked without replacement from {f: 4, a: 1, p: 1, d: 5, k: 4, i: 3}.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 + -1)*-1 - -6. Suppose 0 = -t*k - 3*k - 96. Let i be 12\/k*((-12)\/3 - 0). Solve 2*x + i*s + 19 = x, 5*s + 17 = 2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1*(sqrt(832)*-2 - sqrt(832)))**2.\nAnswer: 7491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*a = 110*a - 141 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**3 + 14*i**2 - 54*i - 400. Let j be a(-6). Let m(n) = n**3 - 3*n**2 + 2*n - 1. Let l be m(2). Put l, 5, j in decreasing order.\nAnswer: 5, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, 73, 177?\nAnswer: 281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 24570 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.4547 rounded to one dp?\nAnswer: -9.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 215*g**4 - 215*g**4 - 53*g**2 + 42*g**6 + 5*g**2 wrt g.\nAnswer: 5040*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 288 and 3104.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 8, k: 2, n: 5, s: 1, q: 2, o: 2}. Give prob of picking 1 q, 2 l, and 1 o.\nAnswer: 112\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 18*t**3 - 4*t**2 + 10*t - 4. Let j(q) = -131*q**3 + 30*q**2 - 70*q + 29. What is -22*c(w) - 3*j(w)?\nAnswer: -3*w**3 - 2*w**2 - 10*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (25 + 16*i - 25)*(5*i - 3*i + 0*i)*(1 + 2 - 2) in the form k*i + w + h*i**2 and give h.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1086014 (base 9) to base 16.\nAnswer: 8fa1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-4) + (-243)\/(-6). Suppose 1727*o = 1717*o + 50. Suppose -11*f + 14*f - s = o*b, 3*f = -5*b - 10. Solve f*u - 4 = 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -104\/5 - -22. Factor 3\/5 + 0*d**3 + 3\/5*d**4 - n*d**2 + 0*d.\nAnswer: 3*(d - 1)**2*(d + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4280.\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -72\/145915 and 32\/18571.\nAnswer: 1021405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -313*r**3 - 91*r**2 + 99*r - 7. Determine m(1).\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b. Let d(k) = -111*k - 2. Let x(g) = -8878*g - 161. Let l(f) = -161*d(f) + 2*x(f). Give m(l(q)).\nAnswer: 345*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33.4 - -33.4819. Let g = 28.1619 - f. Let b = -28 + g. What is b rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wggwxwwgixiiiffwiwif. Give prob of picking 3 g and 1 w.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1078\/66*(-18)\/294*7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*b + 7*b - 19, 5*q + 20 = 5*b. Solve 2*h = t + 6 + 3, -b*h + 10 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5c4 + -4?\nAnswer: 5c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - g - 7. Let v be s(-3). Suppose 0 = 4*d - 3*f + 24, v*d = -3*f - 0 - 3. Is (-254)\/d*105\/14 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wel when three letters picked without replacement from kwkeybl?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/49, 2\/9, 0.1, -27, 4 in increasing order.\nAnswer: -27, -2\/49, 0.1, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(891) - (2 + 1*sqrt(891))) + (-1 + sqrt(891))*2)**2 + (-1*(sqrt(891) - (sqrt(891) + 0))*4)**2).\nAnswer: -10740 + 432*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/4 - (1 - (1 - 2)). Let f(y) be the third derivative of 0*y**h + 0 - 3*y**2 + 0*y - 1\/8*y**4. Let m(k) = -2*k. Calculate m(f(x)).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of 3*z**2 - 22*z - 2 - 1\/2*z**3. Give t(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9391000 to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 8352*f**2 + 200*f - 22. Let j(d) = 8354*d**2 + 196*d - 16. Let m(b) = -2*c(b) + 3*j(b). Find the second derivative of m(g) wrt g.\nAnswer: 16716","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*x = -106832. Suppose 18*a = x - 4766. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -648 - -653. Which is the nearest to -0.3? (a) -5 (b) 1 (c) l (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 5*i**2 + 7*i - 22. Let o(v) = -3*v + 11. Let w be o(2). What are the prime factors of b(w)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 71631247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -13 + 2 + -13 + 10\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 18, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**2 - 10*b + 8 = 0. What is b?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -i**8\/560 + i**7\/70 + i**6\/60 - 3*i**5\/10 - 9*i**4\/8 + 6*i**3 + 8. Let g(f) be the third derivative of o(f). Factor g(u).\nAnswer: -3*(u - 3)**2*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -l**5\/120 + l**4\/24 + l**3\/9 + 91*l. Factor z(w).\nAnswer: -w*(w - 4)*(w + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -179 + 1255\/7. Let o = 240.5 - 241.5. What is the nearest to o in z, 1\/3, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4*z - 94. Give x(17).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 23216.16 decades?\nAnswer: 232.1616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109468419.\nAnswer: 3, 67, 733, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 239 - 251 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of 0*w - 1\/360*w**6 - 165*w**2 + 50\/9*w**3 - 19\/180*w**5 + 0 - 10\/9*w**4. Suppose n(i) = 0. What is i?\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14410615 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12760 and 11072.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52.12 - 47. Let q = t - 0.12. Which is the second biggest value? (a) q (b) 4\/5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*u = -39*u - 25*u + 445 + 3425 for u.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -339959*s**5 + 3*s**2 - 74*s + 61?\nAnswer: -20397540*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-14))\/(3141\/4886)*(-7)\/28.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.019 to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4933698 and 4422.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 209, 167, -391, -1723, -4087, -7741, -12943, -19951?\n\"Answer: -43*k**3 + 259*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 2*w**2 + 16*w + 30. Let l be h(-4). What is the lowest common multiple of 70 and (-18)\/4*l*110\/99?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 2*l**2 - l + 2. Let m be q(-2). Let j(a) = 15*a**3 - 3*a**2 - 4*a - 7. Is j(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*n**3 + n**3 + 2*n**3)*(-4 + 3 + 4)*(7*n + 3*n - n) to the form v*n**3 + h*n**2 + o*n + b*n**4 + a and give b.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n**2 - 917*n - 916. Determine u(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 25. Let k(o) = -o - 4. Let b be k(-4). What is the tens digit of j(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -262 (base 10) to base 7.\nAnswer: -523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/40)\/((-16)\/(-20)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1)**(-28)\/(i**(-3\/5)\/(i\/i**(-1\/4))))\/((i**(-2\/3))**39\/((i**(2\/23)\/i)\/((i**(-3\/8)\/i)\/i*i*i))) assuming i is positive.\nAnswer: i**(-633\/920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of v**5\/60 + v**4\/12 - v**3\/2 - 19*v**2\/2 - 2*v. Let a(p) be the first derivative of n(p). Factor a(i).\nAnswer: (i - 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 1\/3, -12\/7, -5?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -22, 4, -2, 7 in increasing order.\nAnswer: -22, -2, 1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 15 = -3*r + r, -5*r - 5*q = 0. Which is the third smallest value? (a) -1\/2 (b) r (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 304*b + 2090. Determine n(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 8*l**2 + 16*l - 7. Let s be v(-6). Let i = 419 - s. Let w be (13\/(i\/(-60)))\/((-4)\/6). Solve -w*y - 6 = -1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-3\/10))\/(c**5\/c))\/(c**(-1\/4)*c)**(-1\/13) assuming c is positive.\nAnswer: c**(-843\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.872 (b) -5\/2 (c) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/3 + (-2)\/(-3). Let p = -2 - b. What are the prime factors of (4\/p)\/(6\/(-9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a week in hours?\nAnswer: 1568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2620*x**2 - 2*x - 904*x**2 + 2*x - 722*x**2.\nAnswer: 994*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjbjbabja. Give prob of picking 2 j and 1 b.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 e when four letters picked without replacement from {e: 11, h: 3}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -14*v - 31. Let z(p) = 57*p + 125. Let k(n) = -9*h(n) - 2*z(n). What is the first derivative of k(b) wrt b?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d - 1. Let s(z) = -4*z + 0*z + 9 - 2 - z. Let f(w) = s(w) + 6*v(w). List the prime factors of f(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3427\/4 or 857?\nAnswer: 857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -i**3\/3 - 2. Let d(z) be the third derivative of 7*z**4\/12 + 5*z**3\/3 - 8846*z**2 - 1. Determine d(b(l)).\nAnswer: -14*l**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8541211 rounded to 2 decimal places?\nAnswer: -0.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 214260424, 214260433, 214260444, 214260457, 214260472, 214260489?\n\"Answer: m**2 + 6*m + 214260417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 267855.9 kilograms to tonnes.\nAnswer: 267.8559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*w = 10, -130*w + 132*w - 8 = -4*x. Solve -x*a - 11 + 19 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (c + 0*c + 0*c)*(2 + 2 - 6) + 0 - 2*c + 0 - 3*c - 4*c - 2*c + (-4 + 2 + 0)*(-3*c + 5*c - 3*c) in the form a*c + v and give a.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*l = -2*t - 7, -3*t = -2*l + 61. Let m be 3\/t*5 - -1. Which is bigger: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/9 of a week in minutes?\nAnswer: 17920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -560, -552, -544, -536?\nAnswer: -528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixth of a day?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-84)*(300\/5)\/(-2)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*-2 - (8 + 0). Let w(p) = p**2 - 2*p - 1. Calculate the least common multiple of w(3) and 0\/(-8) - (n + -1).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -583 - -582.6. Let s = -0.74 - 0.26. Which is the second biggest value? (a) s (b) -3 (c) y (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/3 and -37\/312825.\nAnswer: 312825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15753.\nAnswer: 3, 59, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*o = -77*o - 39. Calculate the highest common divisor of o and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*r = -80. Solve f = 4, -4*k + 2*f - r = -3*f for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -3, 20, 63, 132?\nAnswer: 233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 5:45 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-3 + -70 - (-33 + 8 + 15)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -144. Let z = n + -125.00338. Round z to 4 dps.\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8603, 17206, 25809, 34412, 43015, 51618?\nAnswer: 60221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*m + 4*f - 20, -2*f + 25 = 5*m. Let u be 8\/(-20) - -4*(-3)\/(-5). Solve -m*k = t + 26, -t - 19 = 4*k - u*t for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 - 38. Let j be 44\/7 + (-8)\/28. Suppose 5*c + 40 = -5*t, -5*t = -j*t + c - 6. Which is greater: t or s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -7*y**3 + 3*y**2 + 19*y + 18. Give r(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 207*d**2 - 5*d - 70 + 68 - 208*d**2 + 6*d**3 as h*d + f*d**2 + n + q*d**3 and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 + 338 = -5*i. Let l = 4 + i. Let j = l - -180. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4\/3 - 7459*y**3 + 149080*y**2 - 2235700*y\/3.\nAnswer: y*(y - 22357)*(y - 10)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 310455578 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -15, -1, 2, 1\/704, 78, 0.2?\nAnswer: 1\/704","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2 + 482416030*u - 11636261300048045.\nAnswer: -5*(u - 48241603)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 6*i + 6. Let f be j(2). Let c(v) = -13*v**3 - 4*v**2 + 3*v - 1. Determine c(f).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zjoz when four letters picked without replacement from {o: 1, z: 5, j: 4, k: 1}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 354206853?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38) + (sqrt(342) + sqrt(342)*-5 - sqrt(342)) - (sqrt(342)*1)\/sqrt(9))\/((1*sqrt(2)*-3 - sqrt(2))*-2*-2))**2.\nAnswer: 4275\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) 1\/605 (c) 0.5 (d) -1 (e) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 375 divided by 14.\nAnswer: 375\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**4 + 2*k + 1 + 0*k + 0 - k**4 to g*k**2 + m + w*k**3 + x*k**4 + h*k and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 + 364 + 14*t - 9*t.\nAnswer: 5*t + 320","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3547535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*d*u**4 - d*u**2 - d*y - 3*u**4*y**2 - 28*u**4 - 2*u*y**2 + 2918*y**2 wrt u?\nAnswer: 240*d*u - 72*u*y**2 - 672*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 138511*o**2. Let k(r) = 54*r. Give k(a(z)).\nAnswer: 7479594*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-54) - 365\/(-45).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48597\/7 + -543562\/77. Let s = -117 - u. Suppose -2736 = -138*h + 3*h - 93*h. Which is the third biggest value? (a) h (b) s (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -14. Let i = u + -4.5. Let g = -1125\/28 + 159\/4. Sort g, -0.3, i in decreasing order.\nAnswer: -0.3, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/19 bigger than -1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 7:45 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 626.3 + -712. Let j = 1.79 + 84.21. Let o = j + c. What is the biggest value in -8, 5, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.77 + 1.7. What is the second smallest value in 0, -3\/8, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/15)\/(3 + (-45)\/27).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-9)*-3 - -1. Let o be -3 + 100\/15 + -2. Let n = o - 9\/5. Which is the nearest to -1\/4? (a) 0.3 (b) n (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 18 = h + 3*s, 3*s - 6 = 2*h. Let y = 6 + h. Solve -1 = -y*d - d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1800 + 1371. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.017889 rounded to 4 dps?\nAnswer: -0.0179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**2 - 2*r**2 + 8*r**2 + (5*r - 2*r - 2*r)*(-2*r + 2*r + r) + 3*r - 2*r**2 - 3*r + 7*r**2 + 41*r**2 - 5*r**2.\nAnswer: 44*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/2*(2 + -4). Suppose -2 = -3*v - 11. Put c, -4, v in decreasing order.\nAnswer: c, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 11:59 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20043557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -81.918 + -0.082. Let h = -55 - l. Let j = h - 26. Which is the third biggest value? (a) j (b) -1 (c) 4\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4072.56423 rounded to the nearest 10?\nAnswer: -4070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 5*h + 6 = 0, -4*p + 8 + 4 = -5*h. Suppose 0 = -p*k - 4*y + 132, 5*y - 11 - 204 = -5*k. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 951929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 363 and 20427?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 6*q**4 - 42*q**3 - 207*q + 2454. Let p(t) = 4*t**4 - 30*t**3 - 138*t + 1636. Let l(b) = 7*p(b) - 5*x(b). Find the first derivative of l(w) wrt w.\nAnswer: -8*w**3 + 69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -355.432 less than 0.4?\nAnswer: 355.832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/5)\/(28\/(-380)) + -1. Let d = -257\/35 + v. Which is the second smallest value? (a) -0.5 (b) d (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*w**2 + 2*w**2 - 15*w**2.\nAnswer: -26*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -3744.9356 to the nearest integer.\nAnswer: -3745","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 302 = 298 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 219930308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 25033 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 5*j - 27 = -5*i, -2*j = i - 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 877697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4*u = -8, 27 = -5*o - 69*u + 66*u. Let r(d) = 9*d + 4. Let m(w) = 8*w + 3. What is o*m(c) + 5*r(c)?\nAnswer: -3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 341*s**2 + 290*s**2 - 61*s**2 to the form u + x*s**2 + f*s and give x.\nAnswer: 570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (((-1)\/(-1))\/(-5 - -1) + 1)*1. Let x = 7\/27 + 25\/216. Factor 3\/8*w**3 + z*w**2 + 0 + x*w.\nAnswer: 3*w*(w + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 4. Let p = -0.101825 - 2.898175. Which is the closest to -0.1? (a) p (b) -2\/7 (c) n (d) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - -4. Let b = t - 10. Let v(u) = -4 + 2*u + b + 4. Determine v(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107447 is divided by 693?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 6*z = 2*z - 20, 4*z + 20 = -2*f. Suppose -5*m + 8*m - 150 = f. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-12) - (-7)\/((-84)\/(-175988)). Suppose o + 4358 = 16*s. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 0)\/((-10)\/(-40))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 80001, 11, -9 in ascending order.\nAnswer: -9, 11, 80001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (138798\/330*10\/(-8))\/(3\/(-32))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3146 by -1573.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-99)\/18*476\/34.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -16. Let d = c - -28. Let g = d + -22. Solve g*p - 4*p + 5*s = -45, -2*p = 2*s for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.471 (b) -49 (c) 8 (d) 1\/3 (e) 4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -11. Suppose -14 - l = -3*u. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/6 (b) -15 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -d - 3*d**3 + 0*d**3 + 2*d**3 + (-2*d - d**3 + 2*d)*(-1 + 3 + 0) in the form q*d**2 + n*d + h*d**3 + y and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of 1\/8*i**4 + 0*i + 2\/5*i**5 - 9 + 0*i**3 + 0*i**2 + 1\/4*i**6. Suppose r(l) = 0. What is l?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 947729596 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90500008 by 71.\nAnswer: 1274648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**3\/3 - 41317*r**2 - 82635*r - 123953\/3 = 0.\nAnswer: -1, 123953","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17446, -17434, -17420, -17404?\nAnswer: -17386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**5 - 275*y**4 + 2780*y**3 - 6400*y**2 = 0. What is y?\nAnswer: -64, 0, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 + 2.3. Let p = -17 - -14. Let v = p + g. Put -0.3, 2, v in ascending order.\nAnswer: -0.3, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 2*b + 13*b + 11*b to the form d + a*b and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12091706 divided by -11\nAnswer: 1099246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16444339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132 + 2*w**2 + 255*w + 132.\nAnswer: 2*w**2 + 255*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 + -5472064?\nAnswer: -5472056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 7 - 3 = 0. Is 7 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -2*o**2 + 1\/35*o**7 + 1\/30*o**5 - 1\/12*o**6 + 0*o**3 + 0 + 1\/12*o**4 + 0*o. Suppose f(a) = 0. What is a?\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-231*(-56)\/(-784))\/((-135)\/108*78\/10)?\nAnswer: 22\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1.8 (b) -4 (c) 1 (d) 5\/2 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*q = i - 48, -2*i - 5*q = -48. Let h(w) = -w**3 + 6*w**2 - 3*w + 4. Let p be h(4). Calculate the highest common divisor of p and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 3:23 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5597638*y**4 - 1292*y - 529 wrt y?\nAnswer: 67171656*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**3 + c**3 - c**2 + 4 - 3 + 5*c**3.\nAnswer: 10*c**3 - c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5619*m = 5613*m - 5*q + 310, 2*m = -3*q + 98 for m.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 b, and 1 c when four letters picked without replacement from {b: 4, u: 1, l: 1, q: 6, c: 3}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -844272*u**3*y + u**2 - 17*u*y - 27177*y wrt u?\nAnswer: -5065632*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o - 15*o = 4*n - 45, 4 = 4*o. Solve 5*c = -3*i + i + n, -5*c = 5*i for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/45*9)\/(-1). Let f = -199\/3 + 63. Which is greater: f or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 32 + 14\/3*k**2 - 26\/3*k - 2\/9*k**3. Factor c(s).\nAnswer: -2*(s - 13)*(s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-15)*6\/(-14). Let x = -111 - -111.13. Let m = x + -1.13. Do m and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1401150 and 19725.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -3*v - 147 + 37, -3*v = -15. What is the remainder when y is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**2 + 5*q + 11. Let z be g(-3). Let i = z + 21. Sort 3, i, 1 in increasing order.\nAnswer: i, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**4*k + 4*b**4 - 343*b**3*k - 2*b**3 - 40458*b**2*k wrt b.\nAnswer: -24*b*k + 96*b - 2058*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 10. Let n = -17 - -35. Solve n = -3*g + t*l, 3*g - l - 4*l + 27 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.4 times 5995\nAnswer: -26378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 867?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/(-456))\/((-1080)\/2880).\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6be989 (base 15) to base 12.\nAnswer: 188b6a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 12:32 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (295\/1298)\/(2\/8*5).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/5 and -62\/27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**3 - k**2 + 18*k + 5. Let c be b(0). Sort c, -4, 2, -10 in descending order.\nAnswer: c, 2, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 199350 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -2379.\nAnswer: 2\/2379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -12.2 (b) -4 (c) 2 (d) 2\/3 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of b**5\/20 - b**4\/6 - b**3\/6 + 4*b**2. Let i be r(4). Suppose -3*w = 2*x + 26 - 79, -x + i = -3*w. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 31 + bcb?\nAnswer: c2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*u**2 - 27*u + 73*u - 46*u.\nAnswer: -34*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -62, -12 in ascending order.\nAnswer: -62, -12, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -2*o**7\/15 + 7*o**3\/6 - 15*o**2\/2 - 3*o. Let k(i) be the first derivative of y(i). Find the first derivative of k(w) wrt w.\nAnswer: -112*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) + -1)**2 + 3)*6.\nAnswer: -108*sqrt(2) + 996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1192988423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 593656 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3698 = -10*f + 1702. Let s(i) = 4*i**2 + 5*i + 3. Let m be s(3). What is the highest common divisor of f and m?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3126 is divided by 149?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -85, -364, -829, -1480, -2317, -3340?\n\"Answer: -93*f**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.593 - 3.61503. What is b rounded to 3 decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-5))\/((-1)\/5). Suppose -o = -5*g + 3. Is -2\/11 at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 209 divided by -512\nAnswer: -209\/512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 - 8*n + 16. Let x be g(2). Suppose 13*c - 5*b = 8*c + 45, -4*b = -5*c + 45. Solve -y - c = x*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 217*i - 107*i - 108*i. Let m = 2 - 0. Let n(g) = -2 + 2 + g**m. Give n(p(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -3. Let h(b) = -b**2 - 4*b + 5. Suppose 0 = -2*o + 3*l - 16, o + 5*l + 15 = -4*o. Let p be h(o). Solve p = 2*g + 2*m - 8, 9 = -2*g + 5*m - u for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 5*n = -2, 10*h - n - 10 = 7*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -13340023?\nAnswer: 13340025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 29*p**2 - 31*p + 35. Calculate the remainder when 42 is divided by u(30).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27\/28, 2\/19, -2701 in increasing order.\nAnswer: -2701, -27\/28, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 339571639 divided by 5.\nAnswer: 339571639\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(56)\/(sqrt(288)*3) + -4)**2*1.\nAnswer: 7\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1009, 2018, 2973, 3874, 4721, 5514, 6253?\n\"Answer: -27*o**2 + 1090*o - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 25*a + 106. What is the hundreds digit of m(17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6904539675 take away 0.5?\nAnswer: -6904539675.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 19*v - 2. Let r(b) = -2*b. Let j = 604 + -564. Suppose -4*q - 33 = 5*a, j = -5*q - 5*a - a. Determine q*h(k) - 18*r(k).\nAnswer: -2*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 785.7327 to one decimal place.\nAnswer: 785.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11147*s - 13 + 54 + 11146*s)*(-s + s + 2*s).\nAnswer: -2*s**2 + 82*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 494020.\nAnswer: 2, 5, 17, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 + -46. What is the hundreds digit of 1192\/(-12)*s\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001032416 rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - q - 134 + 126 - 6 = 0, 4*c - 3 = -3*q - 1 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 353152124?\nAnswer: 2, 13, 31, 37, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/8 - (-9)\/4. Let l(k) = k**3 + 2*k - 1. Let t be l(a). What is the tens digit of (-1284)\/(-44) - 2\/t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1047 from 31.8.\nAnswer: 1078.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 6:07 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 706*c - 31792. Calculate l(45).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*z**2 - 10*z**2 - 7*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -30. Suppose -3*q = -4*o + 952, 2*o - y*q - 313 = 177. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dht when three letters picked without replacement from nvthvdqnt?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 263 - 262.8. What is the fourth smallest value in -3, -4, w, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8563, -34249, -77059, -136993, -214051?\nAnswer: -308233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -19. Let j be 0 - (40\/r)\/5. Let s = -7 - -11. Which is the biggest value? (a) j (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 208*v**5 - 294*v wrt v?\nAnswer: 4160*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 18 = -4*v. Let j = v + 30. Calculate the greatest common factor of j and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 91 and 286?\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 125044919*b - 58194778 wrt b.\nAnswer: 125044919","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (0\/((-1)\/1))\/((-2)\/(-1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 530930161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, j: 6, n: 5}. Give prob of picking 2 j and 1 k.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - -16. Let m = 41 - t. Calculate the lowest common multiple of 16 and m.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*s - 72*s + 19*s - 600 = 0 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7056 = 458815*v - 458899*v for v.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of 3*g**4\/2 + 5*g. Let z(u) = -u**2. Calculate z(c(o)).\nAnswer: -324*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -125 - 1625 - 290 - 1734*y - 458 - 4697*y with respect to y.\nAnswer: -6431","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -17*w - 717. Calculate f(-43).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -9588*g - 536971. Calculate h(-56).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 198860238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 - 216*p**3 + 69*p**3 - 2*p**2 + 109*p**3.\nAnswer: -38*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1\/(-3))\/((-38)\/((-963984)\/(-4))).\nAnswer: 2, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3436?\nAnswer: 2, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 16 = 3. What is the greatest common divisor of h and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 15840 = -28*j. What is the highest common divisor of 275 and j?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46236025 (base 8) to base 11\nAnswer: 5739aa5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -6*x**3 + 88*x**2 + 31*x + 63. Let c be n(15). What is the highest common factor of c and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zet when three letters picked without replacement from {e: 4, z: 2, g: 1, t: 2}?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, -1566, 0.2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -21.\nAnswer: -21, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v + v = 144. Suppose -11 = -5*y - g - 93, -4*g = -12. Let w = y + 31. What is the least common multiple of w and v?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -8\/41, 0.3, -3\/2, -3?\nAnswer: -8\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.053 + -42.947. Let u = -50.269 + 7.222. Let t = v - u. What is t rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**4 - c**2 - 1. Let s(m) = -5*m**4 - 39*m**3 + 4*m**2 - 167*m + 4. Let o(k) = -4*r(k) - s(k). What is the second derivative of o(g) wrt g?\nAnswer: 12*g**2 + 234*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.65288181 to three dps.\nAnswer: 14.653","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2100 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 2419*x + 222871. Give c(-96).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -0*d - 3*w + 2*w - 32, 10 = -5*w for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.4 (b) -2 (c) 1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h\/h**10)\/(h\/(h\/h**(-29))*h))\/(h**42*h*h\/(h*h**(35\/6))))**31 assuming h is positive.\nAnswer: h**(-3193\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**5 - 5*u**4 - 16*u**3 + 13*u**2 + 14*u - 8 = 0. What is u?\nAnswer: -2, -1, 1\/2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 91 = -5*p. Let r = p + 17. Let b be 3\/6*14 - r. Solve -m + 0*m - q - 6 = 0, -3*q - 22 = b*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13750, -27168, -40586, -54004?\nAnswer: -67422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 11:45 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -31*q - 110. Let j(c) = 2*c + 11. Determine 4*j(x) + r(x).\nAnswer: -23*x - 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**2 + 1349*w + 2694 = 0?\nAnswer: -1347, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) -3 (b) 744 (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 79794786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 421, 3148, 10357, 24226, 46933?\nAnswer: 80656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (552\/7728)\/((-70)\/(-100))?\nAnswer: 5\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 159*t**2 - 1205*t + 430. Calculate b(-151).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r + 3. Let t(p) = p**2 - 19*p + 20. Let s be t(18). What is f(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -15.53 from 1.\nAnswer: 16.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 6:09 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x + 21*x - 15 = -5*y, -5*y - 2*x = -3. Let v = -5 - -7. Suppose 2*s = -2*n + 12, 0 = v*n - 3*n - 2*s + 8. Put n, 1, -3, y in increasing order.\nAnswer: -3, y, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - 3 - (-199 - -7)) + -3. What is the highest common factor of 38 and i?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21040 rounded to the nearest 1000?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/378*-7*3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5687456*z + 5202773?\nAnswer: 5687456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3 + 12 = 0. Let a(l) = 18*l - 8. Let j(u) = 90*u - 41. Let x(h) = 11*a(h) - 2*j(h). What is the tens digit of x(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4587?\nAnswer: 3, 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 107 + -101. Suppose -n - 10 = -3*n. Let w = n - -13. Calculate the highest common divisor of w and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 46 = 2*y + 39, y + 3 = -4*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v - 5. Suppose -9 = -2*o + 3*o. What is the units digit of x(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 151.\nAnswer: 8\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 10*a + 2. Let t be h(10). Solve -2*v - 18 = -t*n, -v + 3*n = -2*n + 29 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 3956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1499 - -758.1. What is m rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11940 and 19238325?\nAnswer: 2985","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 66.2 to zero decimal places.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (26 - 1 - (186 + -155)) + 23 - (3 + 1)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -0*c - 3. Let o be (-1)\/1 + (-11622)\/(-90). Let f = 128 - o. Sort f, 0.3, c in ascending order.\nAnswer: c, f, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 - (-2)\/4)*(-62)\/(-1). Let s = 343 - q. Solve -4*d = -s*x - 10, 2*d - x = 6*d - 13 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 5:08 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/13 + 11926*h\/13 - 237720\/13.\nAnswer: -2*(h - 5943)*(h - 20)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 45*p**5 - 1636525*p**4 + 14878330630*p**3 + 11573388640*p**2 - 3306578560*p = 0.\nAnswer: -1, 0, 2\/9, 18184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1179128.9606 - -1178999. Let a = 130 + v. What is a rounded to three decimal places?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18974 and 19610?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lltiltlllliltlit. What is prob of picking 2 l?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**3 - 24*r**2 + 5. Let s be d(12). Suppose -l - 108810004 = 3*c, 0 = s*c + l + 4*l + 181350020. What is c rounded to the nearest one million?\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 2:15 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 923834+4\nAnswer: 923838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + 51\/12 - 1216234\/250200. Let h = 2\/31275 - j. Find the common denominator of 91\/46 and h.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (224\/(-210))\/(3\/(-10)) and 79\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 3*i**2 + i - 20. Let c(q) = 65*q**3 + 16*q**2 + 6*q - 99. Give -c(t) + 6*p(t).\nAnswer: -59*t**3 + 2*t**2 - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-252 + 254)*(-6)\/(-330)\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*p + 342*p + 402 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 1)\/(4\/8*6). Let p(i) be the third derivative of 2*i**2 + 0 + 0*i - 1\/36*i**4 + d*i**3 + 1\/180*i**5. Factor p(z).\nAnswer: z*(z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2266329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.077 - -3.023. Let v = h + -3.124. Let d = v - -0.023959. What is d rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68987189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -10 (b) -0.2 (c) 90.2 (d) -2\/17 (e) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*h**3 - 10*h**3 - h**3 - 2*h)*(13*h - 13*h - 22*h**2).\nAnswer: 44*h**5 + 44*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8670)\/(-2125) - (-6)\/(-75). Let p(q) = 29*q + 4. Let a(f) = 15*f + 2. What is r*p(v) - 9*a(v)?\nAnswer: -19*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, w: 3, s: 2}. Give prob of picking 1 f and 1 w.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008240137439 to five dps.\nAnswer: -0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 473986 or 473991?\nAnswer: 473986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 782, 3, -2\/291, 1\/5 in increasing order.\nAnswer: -2\/291, 1\/5, 3, 6, 782","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 g when two letters picked without replacement from {n: 1, o: 2, s: 2, g: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 229*y + 87*y + 5*y - 1013*y**5 - 3416*y**2 + 3418*y**2 wrt y?\nAnswer: -60780*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2564*z + 10278*z - 2565*z - 2566*z - 2565*z.\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h - 8. Let n(i) = 5*i + 15. Let d(t) = 4*n(t) + 7*p(t). Give d(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30912174?\nAnswer: 2, 3, 1717343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1131011030 (base 5) in base 16?\nAnswer: -2796d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5130)\/75)\/(-2) + (88\/(-40) - -2)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 9:31 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 4*w - 2 + 1. Let b be -9 + 2 - 36\/(-60)*15. Give s(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 187 and 2601.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-10)\/(m\/m**(-2\/29)) assuming m is positive.\nAnswer: m**(-321\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -12 - -10 - 18) + -58 + 13\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*o - 4*o**2 - 18*o + 53*o in the form z*o + q + j*o**2 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 471130 and 753808?\nAnswer: 3769040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 14 + 2 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u - 11. Determine j(18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c - 5. Let m be s(-14). Let o be 2\/(4\/m)*2\/3. Suppose d - o*z = 27, -5*z + 19 = -2*d + 68. What is the remainder when 29 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of 2*t**3\/3 - t. Suppose 4*k + 5*c = -15, 3*c + 4 = -5*k - 5. Let r(m) = k*m**2 + 0*m**2 - m**2. Determine r(h(d)).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - p. Let q(v) = -2*v**2 - v - 3. Let a(z) = 3*z**2 + z + 4. Let g(w) = 3*a(w) + 4*q(w). Let b(c) = -2*f(c) + 3*g(c). Factor b(x).\nAnswer: x*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 4*(sqrt(27) + (3 + sqrt(3267) - sqrt(3267))) + 2)**2.\nAnswer: 456*sqrt(3) + 793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/11)\/(c**(-1\/2)\/c))\/((c*(c*((c*(c*c**1)\/c)\/c)\/c)\/c)\/c**4))\/((c**6*c\/((c**(-5\/3)\/c)\/c)*c)\/(c**(2\/7))**37) assuming c is positive.\nAnswer: c**(1657\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*x**2 - 3*x**2 - x**2)*(736*x + 194 - 196 - 120*x) as c + n*x + g*x**3 + s*x**2 and give g.\nAnswer: -616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162) + 1 + 4.\nAnswer: 5 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10090?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1692.155ug to grams.\nAnswer: 0.001692155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 0 (b) 0.08 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 626*q - 4797 - 5811 = 184*q for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 divided by -252.\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 40*v**2 + 4\/3*v**4 + 124\/3*v**3 + 0*v + 0 = 0. Calculate v.\nAnswer: -30, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 27 + -10 + -60 + 4.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2*-0.021\nAnswer: -0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6a2 - -12a50?\nAnswer: 13532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5910272 + -0.3.\nAnswer: 5910271.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.869823 rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 154992 and 29061.\nAnswer: 464976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 4*s**4 - 144*s**3 + 636*s**2 - 496*s = 0.\nAnswer: 0, 1, 4, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u**3 - 1. Let d be j(1). Let f(p) = -p**3 + 5 - 159*p**2 + 1 + 164*p**2 + d*p. Let z be 0 - 0 - 5*-1. Give f(z).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 0 + sqrt(1573) - (sqrt(1573)*-3 + sqrt(1573))*-2)**2 + (sqrt(26) - 2*(sqrt(26) - sqrt(78)\/sqrt(3)))\/sqrt(512).\nAnswer: 5281*sqrt(13)\/16 + 14182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 504990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1601.064s in nanoseconds?\nAnswer: 1601064000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + (-3)\/2)\/((-5)\/(-470)). Let p = s + -45. Suppose -p*o - 487996 = -4*h, 0 = -2*h - 3*o - o + 244008. What is h rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.7939 and -1?\nAnswer: -1.7939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 1.2. Let u = v - -0.96. Let h = u - -0.2316. Round h to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -15 - 213. Let l = i - 50. What are the prime factors of l?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3 + sqrt(1377)*-1 - (-3*(sqrt(1377) + 0) + (-1 + sqrt(1377))**2 + -1).\nAnswer: -1375 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 1 + 6606*j**3 - 6605*j**3 + j**4 - 4*j to the form m + i*j**2 + p*j**4 + r*j**3 + h*j and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -3. Let i be 208\/48 + -3 + 0 - 1. Sort b, -0.4, i in decreasing order.\nAnswer: b, i, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34\/7 not equal to -11636?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2233*b + 2. Let m(i) = 21*i - 1. What is 2*m(k) + p(k)?\nAnswer: -2191*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 7:58 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2759 - 2569. What is the highest common divisor of v and 893?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6850, -6852, -6854, -6856, -6858, -6860?\n\"Answer: -2*g - 6848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -18782.\nAnswer: 3\/18782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6 - 3.6. Let a = -3.2 - t. Round a to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -11267 greater than or equal to -11264?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15558 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -594 divided by -32?\nAnswer: 297\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 262425973076 - 1.08.\nAnswer: 262425973074.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*((i**(-34)*i)\/i)\/i)\/i)**(-7\/3)\/(i*i**(-20)*i**(-37)))**(7\/2) assuming i is positive.\nAnswer: i**(2891\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 423397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 23*b**2 + 2*b - 16. Suppose 128 = 12*u + 404. Let i be h(u). Let c = i + 82. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n - 41. Calculate v(0).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126521 and 342?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 7*o**2. Let f = -13 + 6. Let y be r(f). What are the prime factors of 8 - (-2 - (y + -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 242549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0217 to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1320487 - -1885908. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.94 - 5.84. Let y = 22 + -22.3. Let f = -0.8 - y. Which is the nearest to k? (a) 0 (b) 1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 123402 (base 5) to base 16\nAnswer: 12f4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.36 and -5.\nAnswer: -21.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -19526 divided by -706\nAnswer: 9763\/353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 346*p. Let w(g) = 2*g**2 + 5*g - 55. Let s(t) = -2*t**2 - 6*t + 66. Let i(v) = 5*s(v) + 6*w(v). Determine i(c(o)).\nAnswer: 239432*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -327\/666002 or 1?\nAnswer: -327\/666002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3\/4 - 9*b**2\/4 + 15*b\/2.\nAnswer: -3*b*(b - 2)*(b + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8751.34 kilometers to millimeters.\nAnswer: 8751340000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/1371 and (-2*1945\/(-390) - 4) + -6.\nAnswer: 17823","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1449.2 and 235407.\nAnswer: 233957.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3931 (base 11) in base 5?\nAnswer: -130431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -a**3 - 16*a + 3. Let u(y) = 27*y. Determine s(u(r)).\nAnswer: -162*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/10 + 154\/15 + -8?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -16*p**2 + 10*p + 10. Let k(d) = -19*d**2 + 12*d + 12. Let j(f) = 5*k(f) - 6*u(f). Let x(a) = -5*a**2 - 65*a. Determine x(j(v)).\nAnswer: -5*v**4 - 65*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 386 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25186480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, z: 3}. What is prob of picking 3 z?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 175136898 by 1484211.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 18420*l - 4199749. Give f(228).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-7))\/1)\/((-29)\/203)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.9464791 rounded to the nearest integer?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 752 and 75967228?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -673*m - 7919*m - 1192 - 765 - 1369*m - 849*m with respect to m.\nAnswer: -10810","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**3*t*t*t**(-3\/5))\/(t**(-5)\/t*t*(t**(-7)\/t)\/t)*(t*t**(-7)*t**(1\/3)\/t)\/(t**(-1\/4)\/(t**(1\/2)\/t)) assuming t is positive.\nAnswer: t**(749\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -152, -214, -320, -482, -712, -1022?\n\"Answer: -2*t**3 - 10*t**2 - 18*t - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 6215*b**3 - 1 - 6214*b**3 + 0 + 3*b**2 - 2*b. Calculate h(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixteenths of a millennium?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aasm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2197457 + -20487695\nAnswer: -22685152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, e: 2, z: 1, j: 1, h: 5, y: 3}. Give prob of picking 2 h.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 3:19 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 l when three letters picked without replacement from {l: 5, u: 5, b: 3, n: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3741094989?\nAnswer: 3, 163, 2550167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t - 1. Let d be z(-2). Let k = 201519\/5 - 40304. Which is the nearest to -11\/2? (a) d (b) -5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 9:38 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-2 + 3 - -1))\/1. What is the closest to 0.1 in -2, h, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000081266109 rounded to 6 decimal places?\nAnswer: -0.000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -4*p - 12, -p + j + 3 = -0. Let u be (p - (1 + -20)) + -2. Let z be -1*u*(2 + -3). What is the highest common divisor of z and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 50*j - 49*j - 2 + 2. Let m(p) = 1 + p - 1. Give m(g(u)).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1369 and 3.624?\nAnswer: -0.4961256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4443 = 43*d - 4701 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*q - 4 = 0. Determine r, given that 5*r**3 - 1 + 5*r**3 + 3*r**q + 2*r + 1 + 9*r**2 = 0.\nAnswer: -2, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3694044 is divided by 67?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-1))**(-3\/5)*(y**5*y)\/(y*y**5\/y) assuming y is positive.\nAnswer: y**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1077350, 2154571, 3231796, 4309025, 5386258?\n\"Answer: 2*n**2 + 1077215*n + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -7*z**3 - 5*z**2 + 25*z + 40. Let n be g(-16). Let f be n\/10 - (-6)\/30*-1. Let t = f + -1390. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffzo when four letters picked without replacement from {z: 3, r: 3, o: 1, f: 6}.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-10) + 43\/5. Let r be (8\/2)\/(4\/t). Suppose -3*m + 7 = -r. Solve 2*z + m - 15 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 26*o**2 + 30*o - 79. Let s be n(27). Let m = -18 + 56. What is the highest common divisor of m and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38.05 - 38. Let q = -0.25 + m. What is the second smallest value in q, 3\/2, 6?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + -2350077.\nAnswer: -2350077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j - 14. Let c be b(-7). Suppose c*a = 4*a - 40. What is the remainder when a is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k - 6. Let y be 40\/(-6) - (-22)\/33. Let n(j) = -1. Let f(w) = y*n(w) + g(w). Let x(a) = a**2. Determine x(f(q)).\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05846077647 to six decimal places.\nAnswer: 0.058461","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 194852 (base 10) in base 7?\nAnswer: 1441040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 1338848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1662 = -8*d + 426. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -50*b**2 - 24*b + 14. Let h(j) = 99*j**2 + 49*j - 28. Let d(f) = -3*h(f) - 7*y(f). List the prime factors of d(-4).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-3)*(-9)\/(-15). Let f = -0.8 - -1. Let z = 0.8 + f. What is the third biggest value in z, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76788.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1275 and 5249325?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = 6*h - 3*z, -13*z = -10*z - 27 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 872 at most as big as 874?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 11 - 1*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 234 and 2.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3274, 3281, 3280, 3265, 3230, 3169?\n\"Answer: -t**3 + 2*t**2 + 8*t + 3265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 + (1 + -3 - 1). Suppose 0 = g*k + 4*h - 2, -3*k + 8*k + h - 5 = 0. Suppose -2*b + 62 = 3*f, 3*f - k - 117 = -4*b. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*g*t**2 - 2*g*t - 5*g wrt t.\nAnswer: 24*g*t - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**3 - 7*y + 3*y**2 + 3*y**3 + 2*y + 3. Let z be k(-4). Suppose -11*f + z*f - 16 = 0. Is f less than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*m**6 + 14*m**5 - 11*m**3 - 29*m**2 - 168*m?\nAnswer: -1440*m**3 + 840*m**2 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -220021\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z**2\/z*z))\/z)\/z**(-2))**(-14\/3)\/((z**(-1\/3))**(-35\/4)\/(z\/((z*z**(-1))\/z*z))**13) assuming z is positive.\nAnswer: z**(121\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/6)\/((-6)\/(-8)). Let b be (6\/(-8))\/(5\/4). Let t = -79428 - -79428.5. What is the closest to b in t, z, 2\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 215 + 141 + 2*h + 439 - 91 to k*h + r and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 501 - 316?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifth of a day?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1707 (base 8) to base 10.\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/3 - 656496*k - 11816712.\nAnswer: -2*(k + 18)*(k + 984726)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -8*v + 6. Let x(b) = 7*b - 5. Let o(m) = -4*s(m) - 6*x(m). Is 18 a factor of o(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -6. Let f = 2 - l. Let d = f - -2. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 149a (base 12) to base 16\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56 - -50.8. Let i = l - -5. What is i rounded to 2 decimal places?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -87889 - -0.06653775.\nAnswer: -87888.93346225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4309.1 * -1\nAnswer: 4309.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3 (b) -25 (c) -43\/2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 7:48 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.7705 to one dp.\nAnswer: -6.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 39, 84, 131, 180, 231, 284, 339?\n\"Answer: a**2 + 42*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and -2*15\/25*330\/(-6).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1693937 or -1693933?\nAnswer: -1693937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-70)\/(-8))\/(-79*(-266)\/48032).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73180360?\nAnswer: 2, 5, 11, 166319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11032?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {v: 7, j: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 4*k**2 - 3*k)*(-2*k + 2*k + 2*k)*(-5*k + 2*k + 5*k).\nAnswer: -16*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1327 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3285515515677.67360058 - 3285515479501. Let k = f - 36168.6736. Let r = k + -8. What is r rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4176851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1064110 (base 7) to base 9.\nAnswer: -223084","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**3 - 7*f**2 + 19*f - 90. Calculate the least common multiple of 876 and l(4).\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -17. Let l = 417 + -417.3. What is the smallest value in -1\/10, -4, l, j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 3*l**2 - 2*l + 5. Let h be p(5). Find the common denominator of -99\/4 and h\/(-40) - 3 - -4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1*c)**(-34)\/((c\/(c\/c**(-7)))\/c*c*c**(-1\/2)*c) assuming c is positive.\nAnswer: c**(-123\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + -2)*(0 - 5). Calculate the least common multiple of 42 and (25\/(-15))\/r - (-16)\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14*(18\/90)\/(1\/(-15))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*s = 236609 + 51346. What is the thousands digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2199523*a - 2199523*a - 123*a**3.\nAnswer: -123*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6328291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 9) to base 5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1622329 a multiple of 389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5*z + 11 = -14, 9 = -g - 2*z. Let i = g + 9. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z, -122 = 10*h + 3*z - 280 + 138 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of o**7\/1470 - o**6\/280 + o**5\/420 + o**4\/56 - o**3\/21 + 52*o**2. Factor i(b).\nAnswer: (b - 2)*(b - 1)**2*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(1 - 6\/7). Suppose 5*l = 4*l + y. Let k(h) = -h**3 + 7*h**2 + 8*h + 6. Let f be k(8). What is the highest common factor of l and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5208 and 420.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = b - 3, -4*n - 4*b - 6 = 6. Let g be (-3)\/(n*(-2)\/48). Suppose 2*w - g = -0*a - 3*a, 8 = 2*w - 4*a. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 5*x**2 + 3. Let k be r(5). Suppose 2*c - 80 = 7*c. Let h = c - -11. Sort k, h, -3 in increasing order.\nAnswer: h, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + 2*k - 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0935106 and 0.126.\nAnswer: -0.0117823356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**2 - 12*n + 10. Let f be j(-6). Which is bigger: 6 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1554 a factor of 126929166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 76 = -5*y, 1 - 2 = -y + 5*q. Let x be 30\/7 + 4\/y. Let o = x - 2. Solve 4*z = o*z - 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/100*(-1475)\/(-354)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (5\/15)\/((-12)\/134) and -83\/24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49\/10 at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 125 = 5*d, t + 18*d - 15*d = 33. Let y(p) = p**2 - 2*p + 2. Let m be y(4). What is the highest common factor of m and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -11*b - 2. What are the prime factors of r(-2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -3. Factor 8*x - x**2 + 6 + y*x**2 + x**2.\nAnswer: 2*(x + 1)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -19 - 3*p**2 + 10*p - 4*p**2 + 6*p**2 + 9*p. What is the tens digit of c(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -69*m**9\/14 + 461*m**5\/30 - 538*m**2 + 3*m. Find the third derivative of z(f) wrt f.\nAnswer: -298080*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**6)**(2\/89))**(-2\/23))**11 assuming b is positive.\nAnswer: b**(-264\/2047)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14072?\nAnswer: 2, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 3\/1006973?\nAnswer: 3\/1006973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.3 and -1049.\nAnswer: -1363.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - 268\/((-4)\/1). Let u = -60 + v. Solve 2*h - n - 6 = -0, -u*h - n + 12 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 15*k**2 + 19*k + 38. Let o be a(-16). Let p(v) = 2*v**3 + 10*v**2 - 10*v. Let h(z) = z**3 + 3*z**2 - 3*z. What is o*h(y) + 3*p(y)?\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1212.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 2:38 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 791d3a + -2?\nAnswer: 791d38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.88343 millennia in decades?\nAnswer: 2988.343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 4*w + 8. Suppose m - 10 = -w*k, 3*m + 2 = 5*k - 1. Suppose 43 = m*z - 2*b - 11, 3*b = 2*z - 17. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -784.11123 to the nearest ten.\nAnswer: -780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 + 65. Find the first derivative of -r*q**3 + 17 - 117 + 10 wrt q.\nAnswer: -78*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, -5, -1 in descending order.\nAnswer: 33, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.5 > -159216?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 54*b**2 + 794*b**2 + 450 - 450 + 25*b - 1541*b wrt b.\nAnswer: 1696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -46083*i - 1394. Is z(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 133 - 234 - -220.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24131 - -46782. Is l a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 8*l**2 + 9*l - 30. What is the remainder when v(-10) is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1.2, 2\/3, 3, -0.03, 135?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.13 - -1.92. Let z = -0.79000413 + j. Round z to seven dps.\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15580 is divided by 159?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -a3031e (base 15) in base 16?\nAnswer: -763319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 w when three letters picked without replacement from whxhxwwxwxwwznz?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-17)\/(-68) + (8\/28 - 2636670\/(-168)).\nAnswer: 5, 43, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, -39\/10, 5, 1\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 - 20. Let v be (-80)\/325 + 4\/x. What is the second smallest value in -0.2, v, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-2))**(2\/59))**2*(((m*m\/m**2*m*m*m)\/m)**(-23))**(-6) assuming m is positive.\nAnswer: m**(16280\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 108 - 113 + 6*y**2 + 9*y**3 + y**4 + 0*y**2 wrt y.\nAnswer: 24*y + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2319*x - 20862. Calculate g(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 381202798?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 562587 and 15.\nAnswer: 2812935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31.0001 - 31. Round y to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -55, -122, -215, -334?\nAnswer: -479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/36 and -47\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5491.\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1546)\/(-10) - -1) + 8\/20. Let c = k + -157. Let s be -2 - 1\/((-1)\/8). What is the closest to s in c, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 121 and 1.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -7602 + p + 7602. Let z(f) = 2*f - 89. Give z(m(u)).\nAnswer: 2*u - 89","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 473628?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 895697?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -6914 (b) 12 (c) -0.2 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 33 - 38. Put 4, l, -6 in increasing order.\nAnswer: -6, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.45 - -2090.6.\nAnswer: 2091.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 + 47*o + 70 - 123.\nAnswer: 47*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 2 - 29. Solve -3*l - k = -2*m - 23, -3*m + 5 = 2*l for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-2)\/24*56\/77\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 29348*s - 12 - 29300*s.\nAnswer: 48*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35546 + 35546.4. What is the closest to -0.2 in -249, v, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 - 37. Let o = -21\/4 + n. What is the common denominator of o and -53\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4506 is divided by 737?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -10. Let u(k) = 6*k**2 - 23*k + 5. Let m = -511 - -516. Let f be u(m). What is the greatest common factor of f and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 139 - 276. Let h = v - -91. Let m = h + 51. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 316*b = -318*b - 39, -16 = 2*k + b for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 42*z**2 + 11*z + 1. What is i(-1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/648 and -17\/54.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0)**20\/((o*o\/o**(-1\/4))\/((o\/(o*o**(-2)*o)*o)\/o)))**(4\/21) assuming o is positive.\nAnswer: o**(-5\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5195.91 + -5175. Let y = -21 + d. Let z(u) = 2*u**2 - 78*u - 345. Let c be z(43). What is the third smallest value in -4, c, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -330434131?\nAnswer: -330434132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d*d**(-1)\/d*d\/((d\/(d\/(d*d**1)))\/d) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -a + 3*g + 9, -4*a - 5*g + 77 = 0. What is the smallest common multiple of a and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/3, -0.4, 1\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8451.\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1 + sqrt(75))*4 + -4 - ((-1*-5*sqrt(75))**2 + 4*(0 + sqrt(75))**2).\nAnswer: -2182 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/13 + 600*b\/13 - 602\/13.\nAnswer: 2*(b - 1)*(b + 301)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 12 (c) -11 (d) -43 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 526 - 526. Solve 2*a = 4*y + 18, k = 5*a - 0*a + 5*y - 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4.6 and -2085769.\nAnswer: -2085773.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - l + z = 80695 - 80664, 5*l - 6*z = -175 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*11*60\/825?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 14*a**3 - 825*a**2 - 29*a - 1770. Give i(59).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4533 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-3\/7)\/h*h**(-6\/5)*h)**(-1\/50))**(-1\/19))**26 assuming h is positive.\nAnswer: h**(-39\/875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2665234201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 208\/80 - (-6)\/(-10). Suppose 85 = i*u + 1. Calculate the remainder when u is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 54\/11*m + 4*m**3 + 76\/11*m**2 + 14\/11 + 6\/11*m**4 - 2\/11*m**5.\nAnswer: -2*(m - 7)*(m + 1)**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 905, -423, 3, 5 in increasing order.\nAnswer: -423, -3, 1, 3, 5, 905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 11433*0.096\nAnswer: 1097.568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -28 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**9)**(-35)*((m**11*m)\/m)**(-1\/50) assuming m is positive.\nAnswer: m**(-15761\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 21. Let d(u) = -83. Let k(z) = -9*b(z) - 2*d(z). Let r(h) = h - 1. Let p(f) = -k(f) + 23*r(f). Let s(w) = w**2. Determine p(s(j)).\nAnswer: 23*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15127*u = -11260*u - 686062 for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227 = -6*v + 199. Let u = v + -75. Sort -15, -5, 1, u in increasing order.\nAnswer: -15, -5, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22957041 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5814641*q**5 - q**3 - 1450111*q**2 - 1 wrt q?\nAnswer: 348878460*q**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-12))\/(2\/(-3 + -5)). What is the second biggest value in 11, y, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/1458 and 65\/4642272.\nAnswer: 4642272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 2 (c) 0.43 (d) -0.2548 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -8, 781, -20, -5, 5 in descending order.\nAnswer: 781, 5, -1, -5, -8, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3660 and 4636?\nAnswer: 69540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + (4 + 2 - 19).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by ((-40)\/(-24))\/(2\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + -34 + 91 - 23?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((175\/315)\/(5\/(-3)))\/((-2)\/30).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*s**3 + 21*s**3 - s**3.\nAnswer: 32*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 399264409 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*c + 116*c = -10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*v - 5*v + v + 14*v as t + q*v and give q.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*t + 43*t - 139*t + 46*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 - 46. Let l = -59 - x. Does 20 divide l*((-32)\/6 + 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1344, 2696, 4056, 5430, 6824, 8244, 9696, 11186?\n\"Answer: z**3 - 2*z**2 + 1351*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -9*w. Let b(z) = 522*z. Let i(a) = -6*b(a) - 351*v(a). Let k(g) = g**2. What is i(k(f))?\nAnswer: 27*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 831463039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*t - 62861 = 17*t + 124123. Is t a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 + 1546*r**2 - 1548*r**2 - 147 + 72.\nAnswer: -2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22885*f - 44*f**3 + 22885*f.\nAnswer: -44*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -6. List the prime factors of k\/2*(17 - 6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 2*f - 52, -4*b + 9*f - 6*f = 36. List the prime factors of (4\/b)\/(1\/(-1878)).\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/8*(-2)\/(-28)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 12. Let o(l) = -l**3 - l**2 - l. Does 7 divide o(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -84 + 78. Let u be ((-466)\/(-14) - 1) + n\/21. What is the highest common divisor of u and 224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16871456.\nAnswer: 2, 7, 109, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(528)\/(sqrt(72)\/(sqrt(6)*2)))\/(sqrt(36)\/((sqrt(81)*-2 - sqrt(81)) + sqrt(81))*5).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 1. Let o be 2\/z*(-147)\/(-2). Suppose -o = -2*v - v + n, 3*n = -4*v + 61. Calculate the remainder when 30 is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -0.045, -5, -0.09, -238?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 124539746447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 7*k - k - 4 - 2. Let n = 0 + 7. Does 18 divide u(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 1 = -3*y + 3, 4 = -y - 4*f. Suppose 8*i + 7 - 39 = y. Solve -o + 3 = i for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zfcwfsfscc. Give prob of picking 2 c.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.11 + 2.89. Let k = 28.2 - 2.2. Let v = -26 + k. What is the closest to -4 in v, -5, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85429 is divided by 42440?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fe when two letters picked without replacement from pfppppppppfeep?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j - 1. Let o be d(1). Suppose 11 = -o*f + 3*f. Let q(s) = -2*s - 11 + f. Let b(n) = -2*n. Calculate q(b(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(120) + sqrt(120))*3)\/(-3*sqrt(10)*-2 + (1*sqrt(110))\/sqrt(11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 980*v**2 + 110*v - 643. What are the prime factors of u(6)?\nAnswer: 47, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -3.36.\nAnswer: -8.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 235676?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/126 and (125\/(-520))\/(9\/10).\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 888?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1014174 to the nearest integer?\nAnswer: 1007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 9. Let o be ((-3)\/m)\/((-21)\/(-56)). Sort 4, -2\/5, o in increasing order.\nAnswer: -2\/5, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313327 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*m + 12 = 0. Let d be (-6)\/2*m - 3. Solve -d*c = -c + 5*w + 5, 0 = -3*c + 4*w - 17 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4\/15, 3\/259 in increasing order.\nAnswer: -4, 3\/259, 4\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 43*b**2 - 14*b + 404. Is g(-21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 6 - 35 = -c, c - 31 = -2*d. What is the highest common divisor of c and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vzzavzzvawa. What is prob of picking 1 w, 1 z, and 2 v?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3821454 less than 3821453?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -22, 17, 0, -3 in decreasing order.\nAnswer: 17, 6, 0, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6438, -6443, -6460, -6495, -6554?\nAnswer: -6643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92037.\nAnswer: 3, 11, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2130, -4364, -6704, -9150?\n\"Answer: -53*z**2 - 2075*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 80 + -74. Is y\/(-10) - 301480\/(-50) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -10001?\nAnswer: -10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/9016 and -79\/5030928?\nAnswer: 5030928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(-14 + 13 + 46)*(-q**2 + 3*q - 3*q)*(2*q + q**3 - 2*q).\nAnswer: -90*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 162 = -4*y. Solve 0 = -x - 3*b - 0*b + 1, 4*x = -b - y for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.01 + -0.39. Let j = d + 0.3. Let s = -2\/139 + 425\/556. Which is the closest to j? (a) -4 (b) s (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 62*v + 104 = 64*v, 4*o - v - 178 = 0. What is the remainder when 1596 is divided by o?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -53*v - 20. Let f(q) = 14*q + 5. Let u(l) = 4*a(l) + 15*f(l). Give u(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -2 (c) -0.36 (d) 42 (e) -4 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5*m - 4 = 16, 0 = -2*w - m - 22. Let q = w + 32\/3. What is h in 0 + 2\/3*h**4 - 2\/3*h**3 - 2\/3*h**2 + 0*h + q*h**5 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1685726 and 315?\nAnswer: 75857670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -67843837 divided by 5?\nAnswer: -67843837\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + (6 - -7) + 0 + -24?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.179067 to two dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40 by 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.4 - -1.353. Round z to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1482436 to the power of 1\/2, to the nearest integer?\nAnswer: 1218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 1050.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/74 and 29\/567363?\nAnswer: 41984862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 119541719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x + 2. Give n(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c**2 - 1055*c + 2111. Determine x(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-3) - (-12)\/(-9))\/(-1)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + x = 19, 6*x - 5*x = s + 7. Let v(q) = 0*q**2 + 6*q + 0*q**2 + 2*q**2 + 2 - q**2. What is v(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 22*w**2 - w + 4. Let h(q) = 33*q**2 - 2*q + 6. Determine -8*b(k) + 5*h(k).\nAnswer: -11*k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y + 14. Let h be w(-8). Suppose -h*x + 2113 = -395. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2702)\/(-6) - (-3)\/(-2 - 7). Suppose -2*m - 3*m + j = 0. Is m a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 5:49 PM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3055305 (base 6) in base 13?\nAnswer: 52280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -29*f. Let o(a) = -185*a**2 - 4. Give o(s(d)).\nAnswer: -155585*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**3 + 184*q**2 - 2116*q = 0. Calculate q.\nAnswer: 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -867*l + 837*l + 510. What is the remainder when 566 is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 52*s + 600. Calculate j(-9).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-7\/3)*(b*b\/(b\/(b*b**(3\/4))))\/b*b assuming b is positive.\nAnswer: b**(5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 8*v**3 - 6*v**3 + 145 - 9*v**2 - 3*v**3 - 3*v**2 - 9*v**2 - 13*v. Let r be w(-20). Solve 18 = r*d + d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*t - 2\/11*t**3 - 14\/11*t**2 + 0.\nAnswer: -2*t**2*(t + 7)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-3) + (-190)\/15. Let p be k\/10*(-5)\/2. Solve 2*g + 2 = -4*s, -2*s = -0*s - p*g + 21 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 1139581*z + 1139584*z = -73, -1054 = -f + 46*z for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2360*n**2 + 10 - 2359*n**2 - 10.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -n**5\/20 - n**4\/24 - n**3\/6 + n**2. Let d be a(3). Let x = d + 43. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = t - 74, -2*t + 262 = t + 4*v. Let n(a) = -12*a + 2. Let l be n(-4). Suppose 0 = 4*x - l - t. List the prime factors of x.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v + 373 + 113. Round v to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -9. Let h = 0.9 + u. Let y = -7 - -11. What is the second biggest value in h, y, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -2*f + 1, -z + 1 = f - 1. Let a = z + 4. Let d(n) = a*n - n + 2*n - 6*n. Let h(k) = -13*k. Give h(d(m)).\nAnswer: 26*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3840) + sqrt(3840)*2)\/(6*sqrt(48)).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -0.01, 1052 in ascending order.\nAnswer: -22, -0.01, 1052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -179, -150, -97, -14, 105?\n\"Answer: z**3 + 6*z**2 + 4*z - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 26.5 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 1. Suppose 0 = y*w - 5 - 15. Suppose c - 4*g = 5, 5*g = w*c - 20 - 5. Solve -4*a - 6*f = -f + 5, 4*a - c*f - 45 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29802467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - d + 4*d - 7 = 0, -7 = 11*d - 16*d + 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (51 - 2) + (-7 - -25) + 91 + -114.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -591*g + 589*g + 12 = 0. Let q(s) = 514*s - 125. Is q(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 245065*z**2 - 135919?\nAnswer: 490130*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 342989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 13*s**2 + 15*s - 31. Let v(m) = -17*m**3 - m**2 + 2*m + 2. Let h be v(-1). Is o(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 12:03 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, b: 12}. What is prob of sequence kbb?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 488 + -485. Suppose k = 3*z + 52 + 29, 4*z - 295 = -u*k. Does 31 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + 4 - -4) + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/(-15))\/(8\/300*5). Suppose i = 3*i - t, 0 = 3*p + 4*i - 18. Solve 0 = 5*b + 3*l + 2, -l = p*b + 4*l - 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 227974 to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 + 23. Let i = l + 4. Let b = 1.1 + 1.9. What is the third smallest value in b, -4, 0.1, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -896 = -7*v - 452 - 332 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000015546 to seven dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s + 6. Let n be u(-4). Let t be (-10 - n)*(-18)\/8. Is 26 a factor of 63 + (-3)\/t*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10\/6)\/5 - (4572\/351 + -13). Factor 80\/13*t - 2\/13*t**4 + 64\/13 - r*t**3 + 24\/13*t**2.\nAnswer: -2*(t - 4)*(t + 2)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s + 6. Let v be t(4). Suppose 4*q - v*q - 1030 = 0. Suppose -y - 55 + q = 0. Round y to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b (base 14) in base 16?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 208 = 184. Suppose -m*n - 151 + 1567 = 0. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59458 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 223 = -6*a - 3*j, 67 = a - 5*j. Let d = 147 - a. Calculate the remainder when d is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*k**2 + 0*k**4 - k**4 - 8*k**2 + (0 - 1 + 0)*(4*k**4 - 3*k**4 - 7*k**4) + (-2*k**2 + 0*k**2 + 0*k**2)*(2*k**2 + 3*k**2 - 3*k**2))*(6 - 6 - 5*k).\nAnswer: -5*k**5 - 15*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130 = -3*c + 52*h + 45*h - 16*h - 83, 93 = -5*c + 4*h for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8 + 21\/35 - 4)*-365. Calculate the greatest common factor of 657 and i.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 2157 + 3148 - 2008 = 0. Let o(g) = -18*g**3 + g. Calculate the remainder when u is divided by o(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f = -14 + 274. Does 14 divide ((-8)\/5)\/((-8)\/f) + 597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y**3 - 4*y**2 + 4. Suppose 0 = -6*w + 11*w + 15. Let v(b) = -5*b**2 + 0*b**2 + 2*b**3 + 3*b**2 - b**2 + 3. Calculate w*a(n) + 4*v(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*t + 50*t = -24 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 12 = 8. Suppose 4*o = 4*n + 959 - 215, -712 = -4*o - d*n. List the prime factors of o.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 54 = r. Suppose 5*h = -0*h, -2*q = -2*h + 132. Let f = -62 - q. Solve -f*y + t = y - r, -2*t - 16 = -5*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2129233 is divided by 13314.\nAnswer: 12307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (244\/60 + -4)\/(5\/(-30)). Let f = 47.9 + -48. What is the third biggest value in f, -0.5, w?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_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: Solve 0 = 2*l - h + 7, -h + 2*h - 9 = 4*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -5*o**2 - 5. Let g be d(-4). Calculate the common denominator of -3 - -2 - g\/(-4) and 1 + (-7)\/((-42)\/(-128)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 861.7086 months in years?\nAnswer: 71.80905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 0. Suppose 3 = -2*r + z. Put -1, 2, r in decreasing order.\nAnswer: 2, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2. Let l(o) = 9*o**2 + 12. Give l(r(w)).\nAnswer: 9*w**4 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -1686862\nAnswer: 674744.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 18*b + 19. Suppose 2*f - 11 = 23. Let q be c(f). Solve 2*u = 2*m + 6, -2*u + 0*m + 2 = q*m for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 26 + 22 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s + 23. Let o(b) = -b + 8. Let h be o(6). Suppose 4*f - f = -5*x + 78, 3*f = -h*x + 69. Let g be v(f). Solve -g*p - 10 = -0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 4 - 70. Let r be (t\/9)\/(2\/3). Let j = 5 - r. Which is smaller: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4 = -13. Calculate the remainder when (-10)\/(-4)*(3 - -7) is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 1305 + 513. List the prime factors of 1\/(-5) + p\/15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((3 + -1*sqrt(425) + 1)**2 - (2*sqrt(425) + 1 + -5 + sqrt(425)*2))*5.\nAnswer: -13350 + 1800*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 4 = -2*f, -4*q = -3*q - 5*f + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3 + sqrt(130)\/(sqrt(810) - (sqrt(810)*3 - sqrt(810))).\nAnswer: -sqrt(13)\/9 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**2 - 289*p + 584*p - 295*p - 649 to the form q*p**2 + g*p + i and give i.\nAnswer: -649","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 2*o - 36 - 5 + 0 to q + x*o and give q.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 132*r + 6. Let g(m) = 135*m + 5. Calculate 5*b(k) - 6*g(k).\nAnswer: -150*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/a**(-3))\/(a\/((a\/(a\/(a**(-1\/3)\/a*a*a)))\/a)))\/(a**(-2\/7)*(a*a\/(a**(-1\/15)*a))\/a)*(a*a*a**(-3\/13)\/a*a**(-3))**14 assuming a is positive.\nAnswer: a**(-12442\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 z when three letters picked without replacement from imzmimrziim.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7517, -5, -4, 0.1 in increasing order.\nAnswer: -7517, -5, -4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -36, 15, 156, 417?\nAnswer: 828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -3) + (12 - 30) + 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4 + 9244*d**3 - 294716*d**2 - 626416*d.\nAnswer: -d*(d - 9212)*(d - 34)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of 0 - 9*d**2 + 5\/6*d**3 + 1\/60*d**5 + 0*d + 5\/24*d**4. Calculate the least common multiple of 1 and i(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 0*q**2 - 5*q**2 + 10*q**2 - 6*q**2. Let g(h) = 21*h. What is g(j(r))?\nAnswer: -21*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(225) - 2*sqrt(225))\/sqrt(5))\/((sqrt(9) + sqrt(144))*2).\nAnswer: -sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-5))\/(3\/15). Suppose 2*n = -5*j - 2*n - 67, d*j + 5*n = -35. Let h = j + 37. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*q + 72 = 80*q + 502*y - 514*y, 2*q + 3*y = -36 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -2*q - 12, -2*m + 2*q = -0*q + 8 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0*m - 5 = a, 3*a - 3 = -3*m. Solve k = 3, 4 = h + k + m*k for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**3 - 2*k**3 - 2*k**3)*(-1 - k + 1 - 2*k + 5*k - 5*k + 0*k + 4*k - 5*k + (0 - 1 + 3)*(-1 - k + 1) + 0*k - k + 2*k + 4 - 4 - 2*k + 2*k - 1 + 1).\nAnswer: 10*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*d - 79055 = -40530 - 249555. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2 - t - 10. Let f(y) = 24*y + 361. Calculate the remainder when f(26) is divided by j(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -633199.3, 2\/5, 1\/4, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 62723920577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1155032 (base 7) to base 2.\nAnswer: -100100001011100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/((-40)\/(-870)))\/(92\/(-782)*119\/(-14)).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5704452 is divided by 627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 556649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/(-10))\/1)\/(6\/(-30))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9905, -9895, -9885, -9875, -9865, -9855?\n\"Answer: 10*g - 9915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20613*l + 30582 wrt l?\nAnswer: 20613","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 o, and 1 x when four letters picked without replacement from {o: 4, i: 2, x: 2, y: 2}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -193, -190, -169, -124, -49, 62, 215, 416?\n\"Answer: d**3 + 3*d**2 - 13*d - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 13. Let a(u) = u**2 + 8*u + 2. Let y be a(-7). Sort y, q, 1\/4.\nAnswer: q, y, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 838\/2095*30\/1\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**4\/5 + 435942*s**3\/5 + 47511356841*s**2\/5 = 0 for s.\nAnswer: -217971, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/15 + 1\/((-6)\/392). Let m = -66 - z. Solve 2*h + m = 2*o - 4, 5*o = -15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 6:42 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 11) in base 16?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9504 = -809*g + 281*g for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q = -2*q - 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146854234 is divided by 1606.\nAnswer: 1594","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4.8 times 4\nAnswer: 19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7458 = 6*v + 4062. What are the prime factors of v?\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -41\/2. Let m be (8\/20)\/(63\/(-15)). Let w = -3.357 + 0.357. What is the closest to -2 in w, q, m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-7)*j)\/(((j\/(j**(3\/10)\/j))\/j)\/j))\/(j\/j**(-2\/9))**34*(j*j*j**(2\/5)*j\/(j**(1\/6)*j))\/(j**(-8)*j\/((j*j**(-3)\/j*j)\/j)) assuming j is positive.\nAnswer: j**(-1846\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -29*w - 2. Let r(x) = -14*x - 1. Determine -6*l(d) + 11*r(d).\nAnswer: 20*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*n + 86*n + 48 = 0. Suppose -3*u = j - 29690, -n*j - 29670 = -3*u - 3*j. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 36*b + 308. Give m(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(1573) + sqrt(1573)*-2 + -2 + sqrt(1573) - (sqrt(1573) - (sqrt(1573) + 0 + -1)) - 6*(sqrt(1573) - (2 + 4 + sqrt(1573))))**2)*2.\nAnswer: 2182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 1 - 11. Suppose -2*n + 6*n = v. Let s(a) = -a + 0*a + n*a. Give s(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -28, -1, -5, 24 in descending order.\nAnswer: 24, -1, -2, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 971092*l**2 + 4 - l**3 - 971092*l**2 - 4 - l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5751808 divided by -10.\nAnswer: -2875904\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16515*g**2*y**2 + 5*g**2 - 23*g*y**2 - 855*y**2 wrt g.\nAnswer: -33030*y**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5176 + 4411 = -m. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4 = 3*v. Suppose -5*c + v*d + 44 = 6, -5*d + 15 = 0. Suppose 12*f + 54 = 15*f. Calculate the remainder when f is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32136 (base 7) in base 14?\nAnswer: -2c8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.5 + -4. Let v = -226 + 2032\/9. What is the nearest to 2\/3 in v, -2\/5, c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 9*i**2 + 9*i - 5. Let j be r(8). Sort -3, -4, 4, j in increasing order.\nAnswer: -4, -3, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -17. Suppose -2*x = -q*y - y - 2, 5*y + 6 = -x. Let z = x - -26. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 9*i + 17 - 5 + 0*i. Let v be h(8). Let q(b) = -2*b + 3*b**2 - 4*b - b**2. Determine q(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n - 112 = -70 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.105178km in micrometers?\nAnswer: 5105178000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 1:20 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 21 = 41. Solve 3*i + 16 = -m - 3*m, 12 = -3*m + t*i for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*m**2 - 172*m + 172*m.\nAnswer: 19*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or -9?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*x - 18*x + 344 = -47*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-145 - 647 - 351)*(l + 3*l - 3*l)*(-5*l + 0*l + 3*l).\nAnswer: 2286*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -2\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -584684*i**3*s**3 + 53399*i**3*s**2 + 2*i**2*s**2 + 2*i*s wrt s?\nAnswer: -3508104*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2331.3 minus 3?\nAnswer: -2334.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -394351*g**2 - 5*g + 385661.\nAnswer: -788702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.78 + 9.38. Let y = i - 9. Let q = 3209.5 - 3209. What is the closest to q in 2, -4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 9*n = 20. Differentiate -1 - n*b**4 - 3*b**3 + 3*b**3 + 0*b**4 with respect to b.\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2895.\nAnswer: 3, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 387, 2197, 6263, 13431, 24547?\nAnswer: 40457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*126\/18 - (-3)\/(1 - 2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2132 + 0?\nAnswer: -2132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - f + 0)*(-47*f + 8*f + 3*f + (-2*f + 0 + 0)*(3 - 4 + 3)).\nAnswer: 40*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(1\/2))**33*j**(-5\/2)\/j*j**(-2\/11))**(2\/121) assuming j is positive.\nAnswer: j**(1008\/1331)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -224 by -11311.\nAnswer: 224\/11311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 2*j = -10, 2*h + 15*j + 4 = 10*j for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 231\/44 - 2301\/(-156). Solve 0 = 5*m - h + x, -2*h + 25 = -4*m - m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 1:21 AM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 95.22098g?\nAnswer: 95220980000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 6*r**2 + 3*r + 7. Give t(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38620040*z**3 + 11*z**2 + 606671*z.\nAnswer: -231720240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0*x)**43*x**(-3)\/(x**(-2)\/x)*((x**(2\/5))**2)**(-39) assuming x is positive.\nAnswer: x**(59\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -64383.4317 to the nearest 100.\nAnswer: -64400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m**2 - 2900*m + 11562. Calculate o(721).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16164 = 17*d + 27934. Let s = -1233 - d. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5 - 1 - 12*x**4 + 5*x**4 with respect to x.\nAnswer: -28*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5407526069?\nAnswer: 11, 71, 113, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*(-1020)\/(-336)*-5*(-2)\/5 - 1.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) 13 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*n**3 - 80*n**2 - 2855*n - 630.\nAnswer: 5*(n - 9)*(n + 7)*(9*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/7 (b) -5 (c) 0.1 (d) 7 (e) -1\/72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 10:52 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1696?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m**2 + 71*m + 177. Determine u(-15).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 367678808 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4568 and 457504.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of q**7\/840 + q**5\/120 - q**4\/3 + 3*q. Let k(x) be the third derivative of g(x). Determine k(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -10. Let r(j) = -j + 5*j - 1 - j + f*j. Let t be r(1). Solve t*i = 3*i - 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 15932.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-212 - 228 - 75*a + 446)*(-3*a - a + 3*a).\nAnswer: 75*a**2 - 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-204)\/2805)\/(4\/(-20)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q - 3*q + 3*k + 20, 2*k = 4*q - 14 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*z + 2*z + 26 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 474 - 484. Suppose -2*c = -6*c + 24. Suppose 2*x = -5*f + c, 0 = 5*f - x - 3*x - 18. Put q, f, -3 in increasing order.\nAnswer: -3, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -210 + 231. What is the greatest common factor of 56 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-235 - 140 + 30)*(-7*h + 4*h - 4*h).\nAnswer: 2415*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*h + 48*h + 662 + 313 = 0 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58779 is divided by 76?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -119 - -112. Let t be (15 + w - 11)*-23*1. Calculate the greatest common divisor of 92 and t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 9:21 AM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -2*(-3)\/51 + (-102096)\/(-51)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 6*y**2 + 3*y - 1. Let w be u(1). Suppose 0 = 4*l - 3*m - w, 4*l - 2*l + 4*m = 26. Calculate the lowest common multiple of 7 and l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 69484*a - 347421. Calculate l(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - -11 - ((3 - -22) + -24)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r + 34 = -22*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/5 (b) 193 (c) -2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mfmmmfmffffmmmmmmfm. What is prob of picking 1 f and 2 m?\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -11\/10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 450, 433, 416, 399, 382?\nAnswer: 365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -84\/17, 47, 4\/5, -0.04, 2\/3, -7?\nAnswer: -84\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 5118323569?\nAnswer: -5118323569.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2146 = 3*t - 122. List the prime factors of t.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88053596.\nAnswer: 2, 22013399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - (-477)\/(-54)) + 15\/30*14 + -10?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 125*n**2 - 6*n + 1. Is i(-4) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**25\/w*w*w**(-2\/47)*(w*w*w**0)**(-24\/11) assuming w is positive.\nAnswer: w**(10647\/517)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9891, -39588, -89087, -158388, -247491, -356396?\n\"Answer: -9901*k**2 + 6*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1541)\/(-184) - 3\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 278340836 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*n + 4*a + 10, 4*n = 5*a + 8. Suppose 72 = 3*s - 3*h - 2*h, -5*s + h + 98 = 0. What is the remainder when (-148)\/(-2)*n\/4 is divided by s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-24))\/((-12)\/2).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-9 - -1 - (0 - -1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13775766, 0.04, 0.5.\nAnswer: -13775766, 0.04, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 12)*(-w + 2*w + 3*w)*(-2 + 7 - 4).\nAnswer: 28*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j + 24. Let z(q) = -4*q + 2*q - 7 + q - 5. Let a(g) = -3*x(g) - 5*z(g). Determine a(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 5. Let k = -8.1 + 8. Let z = -0.1 - k. Is y greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -15, -2.\nAnswer: -46, -15, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = 5*f + 3*h + h, -20404*f + 20400*f = -91*h + 1167 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(7) + (4*sqrt(7) - sqrt(7)))**2 + (sqrt(7) + sqrt(7)*-3*-1)**2.\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 84, 0, 11, 441, -3 in decreasing order.\nAnswer: 441, 84, 11, 3, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 13*i - 21. Let c be v(10). Suppose -1 + c = -8*m. What is the smallest value in m, -5, 96?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m - 3*m - 2*m + (0 + 0 + 2*m)*(2 + 0 + 0) - 2 - m + 2 + 7*m + 0*m + 14*m - 2*m - 2 + 2 + 2*m + 23 - 23 to the form y*m + d and give y.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 546 - 1204 + 658 - 16*r**2.\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 322775 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*f**2 - 27*f**2 + 12*f**4 + (-7*f + 2*f + 4*f)*(5 - 4*f**3 - 5) to the form h*f**4 + y*f**2 + v*f**3 + k*f + a and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.15, 11, -4 in decreasing order.\nAnswer: 11, 0.15, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**2*x*x\/x**(-7))\/(x\/x**(-5)*x*x\/x**(-2)))\/(x**9*x*x**(-2\/41))**(-11\/4) assuming x is positive.\nAnswer: x**(1163\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -4, 443 in descending order.\nAnswer: 443, -0.04, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9294*z + 571169 - 162600 = -418597 for z.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m**2 - 2*m**2 - 2*m**2)*(4*m**3 - m**3 - 4*m**3) + (-11 + 11 - 3*m**4)*(2*m - 3*m - m).\nAnswer: 5*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -1\/2, 0.04, 0.1 in ascending order.\nAnswer: -1\/2, 0.04, 0.1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*t**3 + 2 + 9140*t + t**3 - 2*t**2 - 18265*t + 9131*t - 2*t**3 as a + q*t**2 + c*t**3 + n*t and give c.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m**5 + 0*m**5 - 4*m**5)*(-2 + 3 - 3) + 2*m**5 + 2*m**5 - 3*m**5 + m**2 + 2*m**5 - m**2.\nAnswer: -m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 897568337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 - -7. Let y be (k\/24)\/((-2)\/(-1)). Is 0 != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/(28773\/(-345) - -84)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*p - 50 = -3*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 327120480?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvqddbqvq. Give prob of picking 2 q.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 6 = -f, 0 = 13*f - 14*f + 5*s + 14 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.73 + 2.23. Suppose 0 = -3*l + 7*l - 4. Put l, j, -2\/5 in increasing order.\nAnswer: -2\/5, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 p when four letters picked without replacement from {p: 3, m: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13*f**4 + 31*f - 1653?\nAnswer: 52*f**3 + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of q**5\/20 + 5*q**4\/8 - 56*q**3\/3 + 57*q**2. What is the remainder when j(6) is divided by 67?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 208*y + 267 + 141\/2*y**2. What is the first derivative of h(f) wrt f?\nAnswer: 141","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116221627?\nAnswer: 116221627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (156*p + 259*p - 33*p)*(-p**3 - 2*p**3 + p + 4 - 3) to the form i*p**2 + v*p**3 + r + n*p**4 + m*p and give m.\nAnswer: 382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 12 + 2*g - 78*g**3 - 6*g + 93*g**3. Let c(k) = 7*k**3 - 2*k + 6. Let j(i) = -13*c(i) + 6*r(i). Let m(h) be the first derivative of j(h). Give m(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (-7 + 40 - 3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -j + 11. Suppose -1 + j = 5*q. Let c be ((-6)\/(-2))\/(2\/q). Let u(v) = v - 1. What is u(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -439? (a) 5 (b) -14 (c) -3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, f: 2, j: 3, h: 1, i: 4}. Give prob of sequence hjw.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 2 - (-2 - 14 - -10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 236, 480, 736, 1010, 1308, 1636?\n\"Answer: f**3 + 237*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5666 + 6029 = 33*q for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -4\/7, 8, -0.5, 15?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -24809000 rounded to the nearest one million?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, j: 3, x: 1, u: 3, h: 2, w: 1}. Give prob of sequence huju.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 23 + 16 - 2*v + 23 - 29 + 3*v. Give i(-39).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -618, -615, -612, -609?\n\"Answer: 3*g - 621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/50 and 79\/422?\nAnswer: 10550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*p**3 - 52*p**2 + 123*p**3 + 4 - 44*p**2 - 64*p - 4*p**4 - 4 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*w. Let p be w - ((-2 - -1) + -3). Solve -p*o + 9*o + 10 = 2*y, 3*y = -2*o - 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*g = 2*z + 123*g + 4, 1 = g for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 19) + (3 - -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26651 (base 8) to base 3.\nAnswer: -121000221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9315 - -20168. Let p = z - 10859.0898. Let x = p - -6.1. Round x to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 5, -1\/17, 0, 10 in increasing order.\nAnswer: -1\/17, 0, 0.5, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*c, -2*c - 2868 = -5*x - 34. Let o = 2886\/5 - x. Let w = o + -9. What is the second smallest value in -0.3, 2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {i: 4, s: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 506 divide 289135484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4*q = q + 4, -3*q = -12. Let r be (3 + -39)*1\/p. Find the third derivative of a + 3*a**5 - 15*a**2 + r*a**2 - a wrt a.\nAnswer: 180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from srsrvisrsvv. What is prob of picking 1 r and 1 i?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3222187*w**2*y**3 + 2*w**2*y - 43*w*y**3 - 4*w*y**2 + 5*w*y - 912*w - y**2 - 6*y wrt y?\nAnswer: -19333122*w**2 - 258*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -68 - -45 - (-2 + -12) - -37.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 42 + 27 + 28 + 2079*v - 75. Let k be i(2). Round k to the nearest 100.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2076405?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -195188.6069 rounded to the nearest 10?\nAnswer: -195190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 299906052 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4082 (b) 11 (c) -0.48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 13\/4, -0.04, -2\/3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, -28, -31, -4 in descending order.\nAnswer: -4, -28, -29, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 minus 0.1199?\nAnswer: -9.1199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102 (base 3) to base 4.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, c: 2, x: 1, g: 1, q: 5}. Give prob of sequence qcg.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52)\/1638*-12*((-110)\/68 + (-2)\/(-17))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4884 - -13874. Does 62 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + -10 + (19 - 17 - -7)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-90*x**2 + 11281*x - 11281*x)*(-6 + 3 + 1)*(-617 + 63*x + 617).\nAnswer: 11340*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -47*r - 17. Let v(q) = 16*q + 6. Let l(w) = 6*g(w) + 17*v(w). Let x(k) = 10*k. Determine x(l(o)).\nAnswer: -100*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13.1 - -13.5. Which is the nearest to -1? (a) w (b) 12 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + 1 - (-53242)\/50. Let t = 1068 - w. Let i = -102\/325 + t. Sort -3\/7, -1\/6, i, 10.\nAnswer: -3\/7, -1\/6, i, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 10923.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 21 and -1297?\nAnswer: 1318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 214*r - 1313. Determine l(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -34186*j**2 - 182*j**3 + 34186*j**2 + 7*j in the form b*j**3 + k*j**2 + v*j + c and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -3*z + 426, -15*m - 3*z + 718 = -10*m. Let j = 149 - m. Let w(i) = 2*i**2 + 2*i - 1. Give w(j).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*j - 74 + 74)*(2 + 4 - 2)*(-11 + 5 - 2)*(-j + 5 - 5 + (0 + 1 + 0)*(-j - 3*j + 3*j) + 0*j - 3*j + j) to the form o + r*j + d*j**2 and give d.\nAnswer: -2048","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -1587?\nAnswer: -1\/529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*i**2 + 308*i - 63*i**2 + 23*i**2 + 2*i**3 to the form s*i + g + l*i**3 + u*i**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 449 = -3*l. Calculate the remainder when l is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 23*h + 31. Let f(r) = 116*r + 154. Let a(y) = -11*c(y) + 2*f(y). Calculate the least common multiple of a(-3) and 54.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14595406?\nAnswer: 2, 7, 1042529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*n + 76 = 0, t + 1 = 4*n + 29. Let q(l) = 5*l - 87. What is the remainder when 98 is divided by q(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 1. Let m(f) = -f**2 - 14*f - 12. Let q be m(-10). Let x be q\/13 - 12\/78. Which is the closest to x? (a) 5 (b) 0.5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*b**2*c - 2*b**2 - 52437*b + 6656*c**2 with respect to c.\nAnswer: -17*b**2 + 13312*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 1 + 13 = 0. Find the common denominator of h\/15 + (-313)\/210 and (1\/(-5))\/(66\/705).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m + m**5 - m + (-3*m + 0*m + 2*m)*(14*m**4 + 81*m - 81*m) + 4*m**4 - m**5 + 3*m**5 - 3*m**5.\nAnswer: -14*m**5 + 4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*t**2*w**4 - 14*t**2 + 2*t*w**2 + 3*t - 22*w**4 + 1 wrt w.\nAnswer: 480*t**2*w - 528*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 47 - 47 + 13*q**2 + (-q + 0*q + 2*q)*(-2*q + q + 3*q).\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 880805 to the power of 1\/3, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -2)*(-635)\/(-5). Suppose p = 2*y + 8*d - 3*d, 283 = 5*y + d. Calculate the greatest common factor of 196 and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 19277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 12) to base 2.\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20 + 10*s - 10*s - 92*s**2 - 6 with respect to s.\nAnswer: -184*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1168*t**2 - 3*t + 583*t**2 + 2*t**3 + 577*t**2 to c*t**3 + l*t**2 + k*t + r and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 69045 divided by 3\nAnswer: 23015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 3*s - f, -8*s - 3*f = -12*s + 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, c: 6, d: 2, t: 3}. Give prob of picking 3 t and 1 c.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23 and 104.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 173 + -1556\/9. Let h = -0.36 + 0.06. Sort h, m, 3.\nAnswer: h, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kddkkdyddkdksdkkkk. What is prob of picking 1 d and 2 k?\nAnswer: 21\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 + 4. Is w a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -188083328 and -18?\nAnswer: 188083310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 6*a**2 - 7*a - 7. Let y be p(-5). Suppose -4*k + y*k = -8. Suppose 2*n - 6 = 2*o, 2*n - o - 3*o = k. Solve -d + 2 = -n*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/9)\/((o**(3\/11)*o)\/o)*o**(-23)*o*o**(-11)*o)**(2\/153) assuming o is positive.\nAnswer: o**(-6368\/15147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -975*l + 5105 - 228 + 2431 wrt l.\nAnswer: -975","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a + 11. Let l(m) = -21*m - 69. Let z(j) = 25*h(j) + 4*l(j). Suppose 3*y + 4*c + 19 = 0, 0*y + 22 = -2*y - 5*c. Determine z(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15872319.\nAnswer: 3, 113, 15607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 576 and 5608926.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*d - 164 = 0, 4*d = 4*u + 2*d - 656. Let b = u + -121. What is the highest common factor of 43 and b?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.11577 * -6629\nAnswer: 767.43933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.16 and 69.5.\nAnswer: -11.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 9*o - 2*o**2 - 5*o - 2)*(-1 + 5 - 2)*(111 - 180 + 142).\nAnswer: -292*o**2 + 584*o - 292","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(7\/8)\/i*((i\/i**(-2\/25))\/i)\/i*i assuming i is positive.\nAnswer: i**(-9\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-14))\/((-2550)\/714)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9269.4 - 9269. Which is the smallest value? (a) -0.92 (b) v (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*n + 54 = 31*n. Suppose -n*g + g = 25. Sort g, 1, -2, -80.\nAnswer: -80, g, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11837329 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 57\/133 + (-2)\/(-14)*4. Sort t, 3, 5 in decreasing order.\nAnswer: 5, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 1249998*o + 16. Let g be j(8). Let y be (g\/(-3))\/((-3)\/(-9)). What is y rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) 36 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6114 by 1.\nAnswer: -6114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -4*o + o**2 - 2*o**2 - 3 + 2*o**2. Let r(j) = -j**3 - j + 4. Let z be r(0). Determine c(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -433040, -433035, -433018, -432983, -432924, -432835, -432710, -432543?\nAnswer: -432328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -260\/9 (b) -51 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/140552 and -69\/4?\nAnswer: 140552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 8:45 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -11404 (base 8) to base 14\nAnswer: -1aba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*x**3 + 281*x**3 - x + x.\nAnswer: 187*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 9:53 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1203 + 836. Let x = 371 + j. What is the smallest common multiple of x and 260?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*x + 103, -2*x + 122 = -4*q + 7*q. Calculate the remainder when q is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-428911)\/(-392665)*130\/(-2).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1746, 3451, 5160, 6873, 8590, 10311?\n\"Answer: 2*u**2 + 1699*u + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v**4\/6 - 18803*v**3\/3 + 118151239*v**2\/2 - 8465347852*v\/3 + 16221938686\/3 = 0. Calculate v.\nAnswer: 2, 46, 18779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 17 + (-3 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3738 - 0.1738. What is the smallest value in -0.2, 0, s, 3\/65, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -7) + (-2 - 0) + (46 - -8)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -s + 2*x, 2*s + 5*x + 11 = -0*x. Suppose -3*j = o - 20, o + 6 = 3*j - 4. Solve j*h = s*h - u + 8, 4*u = -3*h - 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*k**4 - 7 + k - 12*k**2 + 16 - 7 + 10*k**2 - k**3 + 4*k**2 in the form d*k**4 + i + l*k**3 + h*k**2 + t*k and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from whwivwywvvih. Give prob of sequence wh.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 2592.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39.22 + 42. Let v = m - 13.71. Round v to 0 dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25426*m**4 + 15140*m**2 wrt m?\nAnswer: 610224*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.4 + 1.4. Let p(z) = -3*z - 1. Let l be p(-2). What is the nearest to n in 3\/7, 0.4, l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x + 33 = 5*l, -5*x - 8 = 2*l + 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2352 divided by -8.\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - b = -0*b + 6, 0 = -6*i + 5*b + 12 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**2 - 5*w - 4. Let o(p) be the second derivative of p**4\/12 + 2843*p. Give d(o(x)).\nAnswer: 2*x**4 - 5*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -554*b - 16058. Give n(-30).\nAnswer: 562","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2004387.\nAnswer: 3, 7, 11, 8677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1590 (base 10) to base 3.\nAnswer: 2011220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**4\/3 - 1788*x**3 + 140720*x**2\/3 - 86656*x = 0.\nAnswer: -2708, 0, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22460 - -23740218\/1057. Let k = x - 39101\/4228. Calculate the common denominator of 91\/4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/6*23\/(92\/(-312))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*l**2 + 4*l**2 + 2*l**2)*(0*l + 2*l + 4 - 5) as t*l**2 + i*l + n + w*l**3 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaqaaqaaa. Give prob of sequence qa.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 3*r**3 - 246*r**2 + 4788*r + 10584 = 0.\nAnswer: -2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.224 + -0.024. Let o = 38.22 + -0.22. Let l = o - 36. Which is the closest to z? (a) -1\/2 (b) l (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.0138965 millilitres?\nAnswer: 0.0000138965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7\/542 + -785\/2168. Let s = -0.6 + 0.9. Sort -4, s, 5, g in ascending order.\nAnswer: -4, g, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1590.7 + -1591. Put 0.3, 59, -5\/2, o in decreasing order.\nAnswer: 59, 0.3, o, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (15\/25)\/(15\/4550925) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/2*(105\/14)\/15.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**5\/3 - 1608*t**4 - 1459252*t**3\/3 - 968016*t**2 - 1449616*t\/3.\nAnswer: -4*t*(t + 1)**2*(t + 602)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(0 + sqrt(363)) - sqrt(363)) + (sqrt(363) - (sqrt(363) + -1 + 3)))**2 + -2 + sqrt(363) + 1 + 0.\nAnswer: -77*sqrt(3) + 1455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10111111000110010111 (base 2) in base 8?\nAnswer: 2770627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4193501773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 9:30 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -31\/4 or -9.5?\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*a = -0*a - 11, 5*m - 35 = 5*a. Let z = m + -23\/3. Factor 0*w + w**3 + 0 - z*w**2.\nAnswer: w**2*(3*w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*n - 96 = 240 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60987 - 43352. List the prime factors of w.\nAnswer: 5, 3527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n - 88*n**3 - 61*n + 89*n**3)*(0 + 1 - 2) to the form c*n**2 + d*n + p + w*n**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -506 - -352. Let b = r - -292. Let g = b + -66. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 + -19. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b**(-1)\/b)\/b)**(18\/5))**(-41) assuming b is positive.\nAnswer: b**(1476\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 1\/5 (b) 0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i - 6. Let u be o(-7). Suppose 0 = -5*q - 8 - 2. Put u, -3, q in descending order.\nAnswer: u, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46 + 51. Suppose -4*f + 5 - o = 0. Let q = 1.4 + -1. Sort q, 0.1, f.\nAnswer: f, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503776 to the power of 1\/2, to the nearest integer?\nAnswer: 710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/7)\/(4 - 160\/35). Which is the second biggest value? (a) p (b) 0.05 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 10*d + 12. Let g be l(9). Suppose -1 = -g*m - 4. Round m to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1136100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4\/13 + 8*x**3\/13 - 36*x**2\/13 + 40*x\/13 - 14\/13.\nAnswer: 2*(x - 1)**3*(x + 7)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 5*u**2 - u**2 + u + 1 + 0*u**2. Let t be a(-1). Suppose 4*r - 38 = 4*v - v, -4*r = -t*v - 40. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.034 - 31.834. What is t rounded to the nearest integer?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*a**2 - 3 - 2*a + 50*a**2 + 0 to g*a**2 + s + j*a and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -5*h**2 - 11*h**3 + 3*h**2 + h**2. Does 10 divide z(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -120 and -7358\/61 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -28\/307?\nAnswer: -28\/307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1250303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2 + -3 - -180)*(-21 - -22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.029 * -0.1.\nAnswer: -0.1029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*a, s - 17 = -2*s + 5*a. Suppose 0 = -5*v + 10. Let k be -1 + -3*v\/(-30). Which is greater: s or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 177 + -183. Let m(j) = -285*j + 7. Is m(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - (-1625)\/(-15))\/((-1)\/(-3)). Is 3*1 - (9 + r\/2) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*k**3 - 11*k**3 - 16*k**3 + 45*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (-12)\/(-3) - 0. What is the third derivative of -144*n**4 + 144*n**4 + v*n**5 - 3*n**2 wrt n?\nAnswer: 240*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15310562*y*z**3 - 2*y*z**2 + 8197*z**3 - z**2 + 1095 wrt y?\nAnswer: 15310562*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*w = -150 - 304 - 53 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/2 of a century?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -142562, -285127, -427692, -570257, -712822?\nAnswer: -855387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -579 times -75643\nAnswer: 43797297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2984)\/2)\/(-2*(7 - 6)). Which is smaller: c or 747?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49 + 31. Let n = -18.22 - l. What is n rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136438083 at least 136438084?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 585, 580, 565, 534, 481?\nAnswer: 400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -9*z**3 - 4*z**2 - 6*z + 16. Let u(y) = -16*y**3 - 9*y**2 - 10*y + 34. Let a(c) = 7*k(c) - 4*u(c). Determine a(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.470877l?\nAnswer: 2470.877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2368609 is divided by 1179?\nAnswer: 1177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 11, q: 2, e: 1, a: 1}. What is prob of picking 2 u?\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*s**3*y**2 - 2438*s**3*y - 4*s**3 - 33*s**2 - s*y + 396*y**2 wrt s?\nAnswer: -18*y**2 - 14628*y - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 65 = 6*u. Suppose -5*w - 5 - 5 = 5*j, 4*j = -2*w - 8. Suppose o = 3*m - w*m - u, 21 = m - o. Is m a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(3993) + sqrt(3993)*-1 + sqrt(3993))\/((2*sqrt(110) + sqrt(110))\/sqrt(10))*-1.\nAnswer: -11*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1820624 - -4?\nAnswer: -1820620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*p + 9, 39 = -3*z - 3*p. Let i(x) = x**3 + 18*x**2 + 20*x + 52. Let n be i(z). Put 4, 0.5, n, 0.24 in ascending order.\nAnswer: 0.24, 0.5, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4*j = -3*m + 2, 5*m - j - 11 = 0. What is the third derivative of -3 - 2*i**m - 7 + 83*i + 10 + 33*i**6 wrt i?\nAnswer: 3960*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hl when two letters picked without replacement from {l: 1, h: 11}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 equal to 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkcq when four letters picked without replacement from kvwkqcqb.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -64218\/19 or -3380?\nAnswer: -64218\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -1\/3*b**3 - 17*b - 20\/3*b**2 + 0 = 0.\nAnswer: -17, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -o**3\/3 - 3*o**2\/2 - 3*o + 1. Let w be h(-9). Is 0 - (-5)\/((-5)\/w) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 3 + -1)*2. Let c be (-2)\/(-8) - 1\/s. Suppose -14 - 11 = -5*d - b, -2*d + 4*b + 10 = c. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 32259.65 millilitres?\nAnswer: 32.25965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(-112))\/((-16)\/(-42))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 3)*(2*p - 2*p - 2*p) - 7*p + 16*p + 12*p.\nAnswer: 19*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n + 836 = 3*n. Calculate the remainder when n is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 4*o + 28*o**2)*(4*o**3 + 0*o**3 - 2*o**3).\nAnswer: 56*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*k - 2*f, -4*k - 6 = -3*f - 15. Suppose k*s - 2 = 4. Let y be s\/3 + 12\/(-18). Solve -t + y = 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 22)\/4*-1. Let o = 2 - 4. Suppose 4*h - 2*b = 4, b + 1 = -h + 2. Put w, o, h in descending order.\nAnswer: h, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 280\/126 - (-2)\/(-9). Suppose t*j**5 - 13*j**3 + 7*j**3 + 6*j**3 - 4*j**4 = 0. Calculate j.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-162)\/(-5) - 6\/15. Let k(j) = j**2 - 6*j + 13. Let i be k(8). Suppose -i*r - 27 = -n*r. Calculate the greatest common divisor of 9 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u + 199 - 570. Let j = -10 + u. Let i = 53 - j. Is 1 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 c when three letters picked without replacement from {z: 2, c: 17}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 432 + (-5 - 1)\/(14\/7). Suppose 7*o - 2630 = n. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1388*v - 7*v**2 - 182*v + 160*v + 2548*v.\nAnswer: -7*v**2 + 3914*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -3553117900 to the nearest one million.\nAnswer: -3553000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/406626 and -11\/92415?\nAnswer: 2033130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4356 a multiple of 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -125*y**3 - 6*y - 5. Let s be u(-1). Calculate the highest common divisor of 13146 and s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/36 - 63\/105*10\/8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 3*u - 7, 5*b - u - 43 = 0. Solve 5*m - m - b = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 72*w**2 + 67*w - 138. What are the prime factors of n(-70)?\nAnswer: 2, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3 + sqrt(3) + 4 - sqrt(21)\/(sqrt(847) - sqrt(7)) - (sqrt(36)\/(sqrt(120)\/sqrt(10))*-4*-6)**2).\nAnswer: -1719 + 9*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**3 + 3*s**3 - 2*s**3 + 2*s**3 + 0 + 0 + (0*s - 3*s + 2*s)*(-3*s**2 + s**2 + 3*s**2) + s + s**3 - s - 5*s**2 + s**3 + 5*s**2.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 509, -0.4, -2\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4655*n**2 - 1661850*n - 5355.\nAnswer: -5*(n + 357)*(931*n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -b29a (base 15) to base 9\nAnswer: -56661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 2. Let d(w) = -7*w**3 - w**2 - 4 + w + 8*w**3 + j. What is the least common multiple of 7 and d(2)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from btsbbsvsbwsww. What is prob of sequence wbbb?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -11. Let w(p) = 10*p - 1. Let l(q) = q. Let t(h) = 6*h. Let b(z) = -5*l(z) + t(z). Let c(j) = u*b(j) + w(j). Give c(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6213827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/923680 and 125\/68998896.\nAnswer: 689988960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 59694 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: Let y(q) be the third derivative of 0 + 0*q + 0*q**5 - 3*q**2 - 7\/8*q**4 + 1\/10*q**7 + 0*q**6 + 0*q**3. Find the second derivative of y(j) wrt j.\nAnswer: 252*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 7. Let d(v) = -4 + 2 - 11*v**2 + 2*v + w*v**2. What is d(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 2\/23 (b) -0.10961 (c) 0.1 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 136454 or 136455?\nAnswer: 136454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 1 + 2)*(1 - 1 - 2*i) + 0 + 0 + 2*i - 6*i + 0*i + 0*i)*(0 - 146322*i**2 - 6 + 146269*i**2) to m*i + p + l*i**2 + g*i**3 and give m.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 645017?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2. Let t be l(-2). Suppose -2*b + 0*b + 195698 = -2*i, -t*i = 4*b + 391380. Let a = -8153 + i. Round a to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 e when two letters picked without replacement from {q: 1, z: 1, e: 1, j: 1, x: 2, n: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**3 - 37*s**2 - 166*s + 2116. Determine r(20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 3003233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 14*i**2 + 2*i - 1. Let q be b(-3). Suppose -q = -z - 2*s, z - 121 = -5*s + s. Let d = z + -78. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195931 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -74, -54, 4, 118, 306, 586?\n\"Answer: 3*d**3 + d**2 - 4*d - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00425072994 to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p + 4 = 8*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*m - 2*g, 0 = 4*m - g - 2 - 5. Suppose -3*j + 3*p = 6, -3*j + 3*p - p = m. Suppose -3*b = -12, -3*b - 5 = -q - j. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 1031*h + 223947. Give n(311).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3 - (-2 - -2) - -69?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 114 - 105. Let h(x) = -3*x**2 + 27*x + 8. Let c be h(v). Suppose 5*g - 105 = 95. Calculate the greatest common divisor of g and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69940599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32400 = 2*r + d, 1131*r - 2*d = 1136*r - 81000. Is r a multiple of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 25929*h - 25925. Let r be n(1). Find d, given that 28\/5*d - r - 8\/5*d**2 = 0.\nAnswer: 1, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 3 + 5*sqrt(242) - (sqrt(8)\/(sqrt(396)\/sqrt(11)) + 5)) + 2)**2.\nAnswer: 1640*sqrt(2)\/3 + 54017\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-240)\/(-9)*306\/255 - -11.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22133 (base 5) in base 12?\nAnswer: -a87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -25 - 50. Let m be (-4)\/(-10) + (-1 - 15\/p). Factor -8\/3*c**4 + 0*c - 8\/3*c**3 + m - 2\/3*c**2.\nAnswer: -2*c**2*(2*c + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -62 + -11?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3364454983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 1 = -h - 0*w, -4*h - 4*w - 12 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -179891 times 3?\nAnswer: -539673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 5 = -25. Suppose -4*r + 0*x = -x + 2, 3*r - 4*x + 8 = 0. Let z = r - -6. Solve 0 = -f - t*h - 5, -f = -z*h + 2*h - 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 4*a = 4. Let l be 1\/a - 24\/33. Suppose -6*s + 5 = -i - 4*s, s - 6 = 4*i. Which is bigger: i or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g - 2*g - 2*g)*(3 - 3 - 1 + 2 - 1 - 3 + (-7 - 39 + 7)*(-5 + 1 - 2)) to the form o + b*g and give b.\nAnswer: -462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/2 + -1*232. Let g = 235 + y. What is the smallest value in 3\/2, g, 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v**3 - 16*v**3 + 7*v**3 + 60*v + 2*v**3.\nAnswer: -v**3 + 60*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 2*n**3 + 2*n)*(-607 + 49*n**2 + 607).\nAnswer: 98*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 11 = -2*r, -2*w + 2*r + 22 = 7*r. What is the common denominator of 273\/20*(-126)\/(-189) and (-238)\/(-12) - -1 - w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4 + 136*r**3 - 792*r**2 + 1568*r - 1040.\nAnswer: -(r - 130)*(r - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -72689605 divided by -5?\nAnswer: 14537921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 1, -167, 59, -6, -3 in descending order.\nAnswer: 59, 2, 1, -3, -5, -6, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1130\/2175713?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*l - 23*l - 19*l**3 + 21*l**3)*(3 - 3 + 1)*(-l + l - l).\nAnswer: -2*l**4 + 37*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 106333 * 0.3.\nAnswer: 31899.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9106080*y**2 - 260360 wrt y?\nAnswer: -18212160*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -56*l + 11. Let b(n) = n - 1. Let i(d) = -a(d) - 4*b(d). Is i(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77638 (base 9) to base 3.\nAnswer: 2121201022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 11, g: 2}. Give prob of picking 2 g.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + t = 7. Let b(f) = -25 - 23 + 48 - t*f. Let k(o) = -o**2. Give k(b(u)).\nAnswer: -49*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z = -35*z + 114. Let h(g) = -2*g**2 - 6*g - 4. Let s(b) = -2*b**2 - 5*b - 4. Calculate z*s(q) - 5*h(q).\nAnswer: -2*q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2232321 - -10?\nAnswer: 2232331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1) + 6 + -10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -2, 1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 7652*o + 6412*o - 7251*o + 10281*o + 1724*o - 4 + o + 4 + (-2*o - 3*o + 3*o)*(-1 - 2 + 2) - 3*o + 0*o + o as k*o + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10570688?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -821633 and -821699 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -5) + -9 + 24\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - q. Let r(g) = g**3 - g. Let j(o) = -o**3 - o + 3. Let h be j(0). Let z(l) = h*y(l) - 3*r(l). What is the third derivative of z(k) wrt k?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -5660?\nAnswer: -16980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9479613.\nAnswer: 3, 11, 13, 19, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -130 - -137. Calculate the remainder when 83 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 2*a**2 + 10*a - 5. Let m be k(2). Let t(w) = -364*w + 13. List the prime factors of t(m).\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1020008649 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/27634 and -1\/110536.\nAnswer: 110536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1053434 - 3?\nAnswer: -1053440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -102 - -114. Let s = 11 - u. Which is the smallest value? (a) 3 (b) s (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/10*(-8)\/3. Suppose -k = -c*f + 15, 4*f - 25 = -0*k - k. Solve -30 = 5*p + f*l, p - 23 = 5*l - 5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1747410 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -7. Let y(v) = 43*v - 1. Is y(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, 0.15, -3, 2614, -1?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95901.\nAnswer: 3, 13, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -x**8\/14 - x**4\/3 - 3*x. What is the third derivative of j(s) wrt s?\nAnswer: -480*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12014 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -6. Let i = 14 + d. Suppose -3*k - p + 8 = 0, i*k = -2*k + p + 13. Solve -t + 4*g = -11 - 13, k = -3*t - 3*g for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**5 - d**4 - 5*d**3 + d**2 + 2*d. Let w(s) = 4*s**5 - 2*s**4 - 6*s**3 + 2*s**2 + 2*s. Let g(z) = 5*v(z) - 4*w(z). Factor g(i).\nAnswer: -i*(i - 2)*(i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/7)\/(4\/(-56)*10)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 3 (c) -3 (d) 2 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 17 = j - 4*j, 3*m = 5*j + 21 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 13 - (-5 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.8 + 5.2. Let m = 5.6 - o. Let n = m - 0.1. Which is the third smallest value? (a) -1 (b) -0.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/4*139\/(68805\/(-30)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2185019?\nAnswer: 19, 115001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4273438813 to 5 decimal places.\nAnswer: 0.42734","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -580 - -581. Let g(r) = 44*r + 2. Calculate g(b).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 1220036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17388 and 480?\nAnswer: 695520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20289?\nAnswer: 3, 6763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 9*p**2 - p - 6. Let n be c(-9). Let h(b) = b**3 - 6*b - 5*b**n - 2 + 3*b**3 - 5*b**2 + 1. Give h(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7423 is divided by -4 + 1 + 7870\/60 + (-1)\/6.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21877, 42797, 63717?\nAnswer: 84637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*i - 47*i + 1587 = 297*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 18495, 13, -4, -3.\nAnswer: -4, -3, 4, 13, 18495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.07 - 0.1. Suppose 28 = 57*r - 71*r. What is the closest to r in i, 2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 152.2996748 - 152.3. What is f rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 12*q + 38. Let l(b) = -22*b - 76. Let s(n) = -6*l(n) - 13*y(n). List the prime factors of s(-15).\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**3 + 38 + 5*k**2 - 69*k - 5*k**2 - 37 to o + d*k**3 + r*k + z*k**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 > 88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(156) - 3*(sqrt(156) + sqrt(156)*2))\/sqrt(12))**2.\nAnswer: 16*sqrt(13) + 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + 3 + 262\/(-38). Which is the closest to 0? (a) -2 (b) -12 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 - 43. What is the nearest to j in 1\/3, 0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 m when two letters picked without replacement from ooqsssmmosq.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wd when two letters picked without replacement from {d: 8, y: 2, w: 5, v: 2}?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.27 (b) -9 (c) -0.128 (d) -2 (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73375668?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1908356?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 189706 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 + 6*t**2 - 5*t**2 + 3*t**2 - 4*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 9*g + 21. Calculate t(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2465 greater than 9\/2914?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -14, 0.1, 2.\nAnswer: -14, -0.1, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 5*a**4 - 8500*a**3 - 25530*a**2 - 25540*a - 8515 = 0.\nAnswer: -1, 1703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3b9 - 5?\nAnswer: 3b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12979, -13025, -13143, -13369, -13739, -14289?\n\"Answer: -6*d**3 - 4*d - 12969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*m**2*o - 1089*m**2 + 65*m - 19*o wrt m?\nAnswer: -6*o - 2178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6472400365 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 14*k - 26. Let x be f(3). Let b = -672 + 676. Calculate the greatest common divisor of x and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 22074306 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4 + 4 = 0, -2*d = 4*q - 4. Suppose a + 35 = 2*b + 6*a, -25 = -5*a. Suppose -b + 1 = -n. Solve n = d*s - 2*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and -9.3?\nAnswer: 6.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-2)*(-7)\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/9 and 19\/16704.\nAnswer: 16704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of c**5\/4 + 2*c**4\/3 - 2*c**3\/3 - c + 20. Find j, given that t(j) = 0.\nAnswer: -2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2 + 1 + 0*i + 0 + 4*i. Give b(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 122*n**2*t**2 + 2*n**2 - 71*n*t wrt t.\nAnswer: 244*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*d + 27*d = 67918. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-6)*39\/26?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) -1\/2 (c) 2173 (d) -0.3 (e) 59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 24, -6, -36, -66?\n\"Answer: -30*p + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6674228 is divided by 2224688?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4438*m**2 - 8894*m\/3 - 4.\nAnswer: -2*(3*m + 2)*(2219*m + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 30 = -5*z. Find the third derivative of -12*s**2 - 4*s**2 - 32*s**2 - 50*s**6 - 135*s**z wrt s.\nAnswer: -22200*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 - 8 + 26)*(2 + p**2 - 2)*(-4*p - 4 + 4 - 3) to m*p**2 + o + r*p + d*p**3 and give m.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 715010.884 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - -105. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 38*m**2 + 4*m + 4. Let d be t(-5). Suppose -8*k + 10 = -14. Suppose -5*n = -k*n - d. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.1334343 litres?\nAnswer: 133.4343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 1 (b) -0.2 (c) -3396\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -231 by 11.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 11209 + -257210\nAnswer: -246001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -3*n + n. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - p - 16 = 0, 12*x - 6*p - 3440 = 3*x - 7*p - 3480 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-six fifths of a meter?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and 160929177.1.\nAnswer: 160929177.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of l**6\/1260 + l**5\/420 - l**3 + 3*l**2. Let y(s) be the first derivative of i(s). Factor y(a).\nAnswer: 2*a*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 2 - 1) + 1 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 502706 to the power of 1\/2, to the nearest integer?\nAnswer: 709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16.75 + 0.25. Let p = u - 16.6. Suppose 10 = 2*z, 0 = -4*w + 5*w + 2*z - 9. Which is the nearest to w? (a) p (b) 5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 351086*t**3 + 7*t**2 + 20523 wrt t.\nAnswer: 2106516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 2*j**5\/5 + 5*j**4\/12 - 5*j**3\/9 - 5*j**2\/6 - j\/3 + 70. Solve y(t) = 0.\nAnswer: -1, -1\/2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8476 - 8404. Solve f*r - 47*r = 50 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 7. Let c(j) = j**3 - 3*j**2 + 4*j. Let w be c(2). Let z be f(w). Let s be (-8 + z)\/((-7)\/3 + 2). Let n(h) = -h**2 - 3*h. What is n(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {t: 2, c: 1, v: 6, y: 2, h: 7}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 69815 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 7*t + 7. Calculate the remainder when 37 is divided by w(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 22 = p, 3*n + 4335*p = 4332*p - 51 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 5:31 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 23 = 3*r, -5*r + 7*i = 10*i + 19 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -2*f + 20, 3*k - 20 = -k + 5*f. Let z = 8 - k. Let t(y) = -y**3 + 5*y**2 - 5*y + 4. What are the prime factors of t(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**2 + 2*r**2 - 2*r**2 + 4*r**2 - 4*r**2 - r**2 - 3*r + 3*r + r**2 + (-r - r**2 + r)*(-8 - 2 + 4) as a*r**2 + f + q*r and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y**9\/7560 + y**6\/720 - y**4\/4 + y. Let p(i) be the third derivative of f(i). What is the second derivative of p(t) wrt t?\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.74541 - -17\nAnswer: 13.25459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*g - 490 + 1351 - 372 - 489.\nAnswer: -76*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 7. Suppose -n = 4, 2*n + 0*n + 18 = -q*y. Put 5, 1, y in decreasing order.\nAnswer: 5, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 37*p + 44. Calculate the smallest common multiple of 11 and w(-22).\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9562.\nAnswer: 2, 7, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 6*l + 2*l + 3*l)*(8*l + 6*l - l)*(13 - 6 - 55).\nAnswer: 624*l**2 + 1248*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 73\/4 of a litre?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -194763 + 297830. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 8*u**2 + 2. Let c be d(7). Suppose -3*g + c = -15. What is the remainder when g is divided by ((-9)\/(-4))\/(6\/32)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 288 divide 142904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2 - z - 79. Determine k(0).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + w = -p + 4, 2*p = 2*w - 8. Let n be -246*14\/1701 - -2. Which is greater: n or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21668.\nAnswer: 2, 5417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(126\/24*4)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -4010*u + 168. Let f(p) = 8019*p - 280. What is -3*f(l) - 5*k(l)?\nAnswer: -4007*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 0. Let h be 2\/(-4)*(-3 + f). Solve -2*y - 4 = -h*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/10, -2, 9, 0.4, -5, -4\/9, -11\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 617 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00014592376 to 5 dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1022, 0.05, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m - 1 - 3*m - 3. Let t = -10 + 5. Let s be p(t). Which is the closest to s? (a) 6 (b) 4 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1880 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h + 2. Let p(a) = 2*a + 3. Let s be (-15)\/6*4\/(-10) - -2. Give s*p(o) - 4*b(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -47\/42*r**7 + 0*r**5 - 29\/6*r**4 + 0*r**3 + 10 + 0*r**2 + 0*r**6 - 3*r. What is the third derivative of i(y) wrt y?\nAnswer: -2820*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -16, -37, -2 in descending order.\nAnswer: -1, -2, -16, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29423360 divided by 181.\nAnswer: -162560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4405462?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 1:59 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -86 - -88. Solve -r + v*h = 0, -3 = r - 0*r + h for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(110)\/sqrt(2) + sqrt(605)\/(sqrt(11) - -1*sqrt(11)))\/((sqrt(720)*4 - sqrt(45))\/(sqrt(9) - (sqrt(9) + (sqrt(9) - sqrt(27)\/sqrt(3)*6)))).\nAnswer: -3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 386 a factor of 18047430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13791*t**2 - 69*t - 2*t - 13797*t**2)*(-2*t**2 - t**2 + t**2) to r + i*t**3 + o*t**4 + a*t + g*t**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 1 - 0 - (-18)\/12.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(2736) - (0 + -1 + sqrt(2736))) + 5 - ((sqrt(2736) - (-1*(-1 + sqrt(2736)) + sqrt(2736))) + 5)) + -4 + -1)**2.\nAnswer: 48*sqrt(19) + 10945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -918*v**2*w**4 + 4*v**2 - 281*v - w**4 wrt w?\nAnswer: -3672*v**2*w**3 - 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 - 248277*a + 248280.\nAnswer: -3*(a - 1)*(a + 82760)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 8*j**2 + 14*j + 15. Let q be o(-10). Suppose -l - 2*l + q = 0. Suppose 10 = -5*h + l. What is the remainder when 9 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1288 - 1288.03. What is the nearest to 1 in -5, k, -3\/23?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 5*k**2 - 2*k + 6. Let x be v(5). Let f = 0.29 + -0.19. Let i = f - -0.4. What is the biggest value in -17, i, x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4496 (base 11) to base 3\nAnswer: -22010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.5 (b) 1\/14 (c) -4\/133 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**2 - d**3 - 2*d**2 + 4*d**3 to u + m*d**2 + j*d + c*d**3 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -418\/7 and -61 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*q + 54, 0 = -3*q + 5*d - 23 + 104. Is 27 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69827107 and 16611.\nAnswer: 5537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 31\/4? (a) -1\/5 (b) -3 (c) 0.05 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m - 15. What is h(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -45, -144, -301, -522, -813, -1180, -1629?\nAnswer: -2166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 6\/5, -31, -12, -2, 2?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 843 and 19670.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83295?\nAnswer: 3, 5, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-376)\/(-24))\/((-2)\/18). What are the prime factors of t\/(-6) + 3\/(-2)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**4 - 24*u**3 - 729*u**2\/4 - 651*u\/4 - 39 = 0 for u.\nAnswer: -4, -1\/2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 4*c**2 + 15*c + 14. Let i = 7485 - 7478. Give v(i).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-36)\/80)\/(6\/115). Let b = -18673 + 447409\/24. Let g = b - v. What is the common denominator of g and -17?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 181 = 3*o + 2*s, 5*o - 2*s + 301 = 0. Let r(q) = q**2 + 5*q - 2. Let k be r(-7). Let l = k - o. What are the prime factors of l?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m**2\/9 + 12835*m\/9 - 8558\/3 = 0. Calculate m.\nAnswer: -12837, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 6 + 5*n - 9*n + 0*n + 2*n. Let d(t) be the first derivative of 6*t - 2 + 7*t + 4 - 2*t**2. Calculate -6*d(u) + 13*k(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 63 - 13. Let u = -49.9 + b. What is the nearest to u in 3, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x**2 + 16*x + x**2 + x**3 + 0*x**3 - x**2 + 2*x**2.\nAnswer: x**3 - 4*x**2 + 16*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*o + 82 = -37 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 30 - 38592*m + 13881*m - 33)*(-2*m + 4*m - 3*m) + m**2 - 4*m**2 + 0*m**2.\nAnswer: 24708*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 286, 529, 784, 1057, 1354, 1681, 2044?\nAnswer: 2449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of i**4\/4 - 8*i**3\/3 + i**2 - 7*i + 23. Give j(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10581351.69 to the nearest one hundred thousand.\nAnswer: 10600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/5 of a minute?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2\/7, 0, 385067 in descending order.\nAnswer: 385067, 0, -2\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-45)\/(-12) - (-3)\/(-4). Does 9 divide -1 + (7 - (t - 6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -6.4. Suppose 3*k - 2 = -2*i, -22 + 28 = 4*k + i. Sort c, k, 2\/3 in decreasing order.\nAnswer: k, 2\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296*g = 2678 - 14 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1728 at most -946?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2199969*g**2 + 2*g. Let t(s) = -2*s. Give t(q(n)).\nAnswer: 4399938*n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3078, -107, 5, -15 in descending order.\nAnswer: 5, -15, -107, -3078","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 11*c + 12. Determine s(-5).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*t*w**3 + 7*t*w**2 + 212*t*w - 235*w**5 wrt w?\nAnswer: -150*t - 14100*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/24)\/(-7)*(-6)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 2\/3, -2\/7, -1\/4, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 2*z = -40, 5793*u - 5798*u - 68 = 3*z for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -u - j - 68, -3*u + 199 = -2*j. What is the smallest common multiple of u and ((-2768)\/22 + (-44)\/242)\/(-2)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 g, and 1 d when three letters picked without replacement from {h: 2, d: 1, g: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 1) + -24 - (1116 - 1122)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v - 3. Let s be (-2)\/8 - 14\/8. Let b(m) = 3*m + 3. Let j be b(5). Let g be j\/15*(-5)\/2. Let f(i) = -2*i + 4. Give g*c(n) + s*f(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267906.\nAnswer: 2, 3, 44651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 352351 (base 6) in base 15?\nAnswer: 9004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 4, 0*n = -3*n - 2*y - 31. Let s be 4\/(-16) + 42\/8. Put 1, s, n in ascending order.\nAnswer: n, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110101110010011000101 (base 2) in base 9?\nAnswer: -7232403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 54*m**2 - 171*m + 47. Let a be g(-57). Let q be (-3)\/6 + (-155)\/(-2). Let i = q - a. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 599689248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((46\/(-667))\/(1 + 11))\/((-477)\/(-1431)).\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(7\/3)*p*p)\/p*p)\/(p\/p**(-10))*(p\/(p*p**1*p))**(2\/3) assuming p is positive.\nAnswer: p**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -73891156*v**2 - 349179905*v wrt v.\nAnswer: -147782312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-5*(4 + (sqrt(200) - (sqrt(200) + 3))**2 + (sqrt(200) - (3*sqrt(200) + -5)) + 0).\nAnswer: -400*sqrt(2) + 360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3178a (base 11) in base 15?\nAnswer: da4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 101202 (base 3) to base 5\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -41\/6 (b) 2\/9 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27007*n**3 + 27006*n**3 - n + 26985*n**3 - 81025*n**3.\nAnswer: -27*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 11:47 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -163.5 + 19.5. Let z = 144 + w. Sort -5, z, -6, -3 in descending order.\nAnswer: z, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4*m**2 + m**2 - 3*m + 0 - 1 + m**3. Let z(g) = 4*g**3 + 4*g + 2 + 164*g**2 - 5*g**3 + 169*g**2 - 329*g**2. Let c(p) = -3*q(p) - 2*z(p). Factor c(o).\nAnswer: -(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, e: 4, h: 5, q: 4}. Give prob of sequence iee.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 667 is divided by 31?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -280\/813?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*n**3 - 4191*n**3 + 4115*n**3.\nAnswer: -27*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -382 - -461. Let m = -76 + b. Let n(z) = 2*z**2 - 2. Let r = 4 - 2. Let t(v) = v**3 - 3*v**2 + v + 3. Determine m*n(f) + r*t(f).\nAnswer: 2*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y + 1. Let l = 8 - 5. Let k be p(l). Let r = 1 - 1. Solve r = j + s + k*s + 20, 3*j - 5*s = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 522735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 3*d**2 + 4. Let v be h(-3). Suppose k = v*w - w + 26, -4*w - 58 = -3*k. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventy-three quarters of a century?\nAnswer: 1825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 30 = -5*q, 2*k + 15 = -3*q + 37. Let h(j) = -3*j + 59. Let w be h(17). Which is the third smallest value? (a) q (b) -3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3294681?\nAnswer: 3, 13, 23, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16081839 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 254 - 175. Let w = -62 + x. Let f = -6 + 5. Put w, -2, f, -5 in ascending order.\nAnswer: -5, -2, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 16*v = -3639987. Suppose -1 = -5*m - 6. Let q be (m*(0 + 1))\/1 + v. What is q rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*2*(-9)\/(-6). Suppose c*d = d + 44. Is d a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6639077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70968*a + 71299*a - 17874 = 0 for a.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 n, and 2 z when four letters picked without replacement from {n: 10, z: 4, f: 5}.\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -818 = -12*f + 538. Let s = f + -151. Which is greater: s or -184\/5?\nAnswer: -184\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -776*t**6 + 2*t**5 + 5*t**2 - 8 wrt t.\nAnswer: -93120*t**3 + 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -b620b9 (base 12) in base 14?\nAnswer: -548229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-9)\/21 + 150\/(-140)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1269661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence io when two letters picked without replacement from {i: 10, o: 2}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -13847+0.263\nAnswer: -13846.737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 6*v - 6. Let h(d) = -d**2 - 5*d - 5. Let q(j) = -6*h(j) + 5*l(j). Let r(i) = -41*i**2. What is q(r(w))?\nAnswer: 1681*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -100101?\nAnswer: -100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -126301458 divided by 26907?\nAnswer: -4694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199952.\nAnswer: 2, 12497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 52, 108, 164, 220, 276, 332?\n\"Answer: 56*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -6*n + 14. Calculate u(6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-4) + 49\/2. Suppose p = 5*z, 3*z = 3*l + z + 48610. What is l rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33890400941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(12*u - 12*u + 12*u**2) + (-1 + 1 + u)*(-4*u + 2*u + 0*u) + 5*u**2 + 22*u**2 - 9*u**2.\nAnswer: 28*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1589414 and 192182.\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8 - 2)\/((-9)\/12). Let l be (18\/v - -2)*-12. Suppose 2 - 8 = l*r. Sort -3, 4, r in increasing order.\nAnswer: -3, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 48*g**2 - 6*g - 213. What is the hundreds digit of u(15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6957?\nAnswer: 3, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2571563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3 + 13668*p**2 + 21565728*p.\nAnswer: 2*p*(p + 2472)*(p + 4362)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1529*n**2 + 655*n**2 + 874*n**2 + 11*n**3.\nAnswer: 11*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -9*n**2. Let m(d) = -5*d - 7. Let b(v) = 2*v + 3. Let y be (15\/25)\/(5\/(-25)). Let o(q) = y*m(q) - 7*b(q). Give o(l(k)).\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -9 (b) 8\/3 (c) -5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 2*l**2 - l + 28. Is 14 a factor of z(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 1 = -i. Let q(n) = 3*n**2 + 3 - i*n**2 + 3*n - 7. Let x be q(-4). Solve 0 = 5*d + p - 8, x = 2*p + 1 + 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -2, -928 in descending order.\nAnswer: 1, -2, -5, -928","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 828823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 164? (a) 5 (b) 0 (c) 2 (d) -0.2 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4305 is divided by 865.\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2563156 is divided by 202?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 7:53 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2 + 4*d + 5*d**2 - 4*d + 2*d**2. What are the prime factors of t(2)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 459004.\nAnswer: 2, 7, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -p + 4*w, 2*p - w + 32 = -2*p. Let q = 41 - p. Let j = -47 + q. Solve -4*i = -j*i - 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60465922 and 19030?\nAnswer: 3806","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 540 + -1739\/3. Let g = m + 41. Factor -g - 4\/3*p**2 - 10\/3*p.\nAnswer: -2*(p + 2)*(2*p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -473 - -479. Let p be (0 + -1)\/((-6)\/18). Find the second derivative of 2*z - k*z - 28*z**5 + 5*z + p*z wrt z.\nAnswer: -560*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 6770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1384903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k**4 + 8*k**3 - 163*k**2 + 298*k - 144 = 0. Calculate k.\nAnswer: -18, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxg when three letters picked without replacement from gnxnnjnjgxxjjxtjjj.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 731 and 170.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 + -29.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m - 2. Let k be a(0). Let r be 42\/273 - ((-2)\/(-10) - 1008522\/(-390)). Is k\/(-1)*r\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**3 - 60*r**2 - 62*r + 41. Give j(31).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31 - 26) + 13 + -37.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5403\/2204 at most as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 110.749 - -0.251. Let k = s + -111.099. What is k rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 200 by -100.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -61554521, -61554513, -61554505, -61554497, -61554489, -61554481?\n\"Answer: 8*y - 61554529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -436 - -441. What is the third biggest value in 2\/7, k, 2\/85?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 23 = -4*m - 23, -5*m = v + 50. Let d = 44 + m. Suppose 3*u - d = -2*u. Calculate the remainder when u is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65 - 53. What is the least common multiple of f and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0019805 rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 9 + 2*w**2 + 20229*w - 10114*w - 10115*w.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 48341305 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((-2)\/148*2). Let c = 65 + j. Suppose c = -w + 3*w. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1167728 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, e: 5, q: 5, l: 8}. Give prob of sequence qe.\nAnswer: 25\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 + -16. Find the third derivative of -h**2 - 16 - 8*h**j + 16 wrt h.\nAnswer: -480*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07172717 times -0.04?\nAnswer: -0.0028690868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*q - q, 5*g + q + 4*q = 0. Let s(r) = 13*r - 4. Let f(v) = -14*v + 5. Calculate g*f(c) + 7*s(c).\nAnswer: 7*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 617101 and 617101 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -1\/160*v**6 + 0 - 1\/280*v**7 + 0*v + 0*v**4 - 1\/240*v**5 + 0*v**3 - 3*v**2 - 1\/1344*v**8. Find i such that l(i) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in years?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -i**3\/3 + 14*i**2 - i. Let l(y) = -8*y**2 + 186*y - 46. Let f be l(23). What is the remainder when n(f) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 70765*o + 495320. Determine r(-7).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3114 and 33216.\nAnswer: 99648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 25*w**2 - 186*w + 5. Let d be r(31). Let z be 3\/(-12)*-2*18. Suppose 4*q - q - z = 0. Solve -13 = -d*h - q for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 2*z - 1. Let l(v) = v**2 + 4*v + 2. Let a be l(-2). Let w be i(a). Let m = 2 + w. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*f + 6090 = -37*f. Let r = f - -1451. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2278*j = -2279*j + 66*q + 853, -q = 2*j + 23 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 k, and 1 f when three letters picked without replacement from fwknvvv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(7\/4)\/((f\/f**5*f)\/f))**(-13\/7) assuming f is positive.\nAnswer: f**(-299\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1489030236?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -10 times -34.25\nAnswer: 342.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414863884 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + 1*sqrt(11))*5.\nAnswer: 10*sqrt(11) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (46\/6)\/((-19)\/(-1710)). Calculate the greatest common factor of u and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -16. Let v(f) = f**2 - 5*f. Let k be v(w). Calculate the greatest common divisor of 54 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -91351 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence as when two letters picked without replacement from {l: 3, s: 2, g: 3, c: 2, a: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4425*h**4 - 4126*h**3 - 257958*h**2 - 631?\nAnswer: -106200*h - 24756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 16\/6)\/((-1420)\/6035).\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**2 + 40*a + 128 = 0. What is a?\nAnswer: -16, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.4 + -2. Suppose -4*v - 8 = -4. Let y = -1 + v. Which is the third smallest value? (a) q (b) y (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 11*k - 49. Let s be y(7). Let h = -19 + s. What is the tens digit of (-120)\/6*(-1 + h\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-5 - -1) + 11. Let h(a) = -a**2 + 10*a + 1. Let p be h(c). Suppose 4*l = -2*o + 60, -o = -5 + p. List the prime factors of l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6278, 12557, 18850, 25163, 31502, 37873, 44282?\n\"Answer: l**3 + l**2 + 6269*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 186837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20797143 + 1247902867\/60. Let v = 1239 - l. Find the common denominator of v and 29\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -310 + -3?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 100 - 58. Is z even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c*r**3*y**3 - 4*c*r**3 + 37*c*r**2 + 7*r**3*y**3 - r**2*y**3 - r**2 wrt r?\nAnswer: -12*c*y**3 - 24*c + 42*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -10*3*14\/(-6) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -51, -3114, -4, -3\/2?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -9*w + 233. Let g(o) = -4*o + 116. What is 6*d(p) - 13*g(p)?\nAnswer: -2*p - 110","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/3 + 178*f**2\/3 - 1025*f\/3 - 1204\/3.\nAnswer: -(f - 172)*(f - 7)*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 5*s**2 - 7*s + 27. Let q(w) = -3*w**2 + 4*w - 13. Let k(z) = 4*g(z) + 7*q(z). What is the units digit of k(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17.96 - -16.86. Which is the closest to -1? (a) -4\/9 (b) t (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*v**2 + 52245*v - 52194*v + 2259*v**3 - 7*v**2 wrt v?\nAnswer: 13554","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i**2 - 3*i + 1. Let p = 24 - 23. Let c be v(p). Solve 3*u - 2*u + c = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (15\/(-5))\/3*-144. Suppose 3*u = -u + b. Let t = u + 2. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11261709.\nAnswer: 3, 1251301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5*v - 19. Let y be j(6). Solve -4*t - 2*q - 31 = -y, -5*t + 5 = -5*q for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.002 in 5, -5, -3\/8, 2\/3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2883?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -557, -621, -811, -1187, -1809?\n\"Answer: -10*d**3 - 3*d**2 + 15*d - 559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 200323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21391242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -37*c**3 + 2*c**2 - 2. Let r be 12\/(-20) + 4\/(-10). Calculate the remainder when 739 is divided by q(r).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 4*k - 4 = 0. Is -3 + -99*1*k a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**3 - 21*n**2 - 90*n = 0.\nAnswer: -3, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m**2 + 407*m**3 + 5*m**2 + 401*m**3 - 833*m**3.\nAnswer: -25*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -24*(9\/(-6) - -1). Suppose n = -4*p + 6*p. Let z be (-9)\/(-2)*20\/p. What is the highest common factor of z and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*1*(((1 + sqrt(125) + sqrt(125))*1 + (1 + sqrt(125) - sqrt(125)) + -1)**2 + (5 + -1*sqrt(125)*-1)**2)*2.\nAnswer: -6510 - 700*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 2*o = -22, 2*o = 327*b - 332*b - 22 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 346 divide 9751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -i**5\/60 - i**3\/6 - 3*i**2. Let m(b) = -10*b**2 + 6 + 5 - b + 2*b**3 - 4. Let o be m(5). Give u(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -5*p**2 - 5*p + 16. Let y = 3197 + -3202. Determine b(y).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5532304 a multiple of 676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.14, -503, 3 in descending order.\nAnswer: 3, -0.14, -503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*b, -5*m + 4 = -34*b + 33*b for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 10, s: 9, k: 1}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 29*l**2 + 60*l - 51. What is f(-31)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49.9 - -50. Which is smaller: m or -57?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23660*t**3 + 23658*t**3 + 32465*t**2 - 32451*t**2.\nAnswer: -2*t**3 + 14*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81269648 is divided by 95.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0074707679 to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = r, 2*w + r = -3*w - 18 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2273575, 4546870, 6820163, 9093454, 11366743, 13640030?\n\"Answer: -u**2 + 2273298*u + 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5*j - 56 - 26 = 0, -5*f + j = -88. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, a: 1, k: 3, p: 3}. Give prob of picking 1 x and 1 p.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -253 - -258. Suppose -k*j = -13*j - j. Solve -r + 1 = -s, -5*s + 2*r + 4 = -j for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27696)\/3462*(3\/(-50))\/(-3)?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l + 2*l**2 - 12 + 3*l - 8.\nAnswer: 2*l**2 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 119*k - 1979. What is d(-99)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 8 + 0 = 0, -2*q + 8 = 4*u. Suppose -10*n - 334 = -681 + 337. What is the nearest to n in -2, -1, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9759 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3252765113 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -20*j**2 - 1670*j + 1674. Determine l(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30135.\nAnswer: 3, 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 15 - 8 + 9 = -4*x, 12 = -0*k - 3*k + 7*k for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 23*r**2 - 48*r - 16. Calculate the remainder when 76 is divided by c(25).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -13, -2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -366178*s**3 - 5 + 3 + 732337*s**3 + 0 - 366165*s**3 + 2.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 - (-2 + -3))*-1 - (65 - 8654).\nAnswer: 2, 7, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 72*h**4 + h**3*q**2 + 3753*h**3*q - 289309*h**2*q**2 - 2*h**2 wrt h?\nAnswer: 1728*h + 6*q**2 + 22518*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/627 and -83\/40014.\nAnswer: 440154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 29*y**2 - y + 38. Let h be a(29). Let i be 2572\/h + 2\/9. Suppose -i + 1294 = 3*v. Is 56 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.8 - 1.9. Let u = 4 - 2. Let l = u - c. Is 0.3 at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 160 + -396. Let u be (-9)\/(-6)*j\/3. Let c = -41 - u. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 40 - 40)*(0*n + 0*n + n**4 - 2*n).\nAnswer: -n**5 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 2*i**2 + 45*i - 21. Let b be m(7). Solve 0 = -b*r + 47*r - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a meter in micrometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105306 is divided by 93?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-672)\/(-80) - 6\/(-10). Suppose -52 = -g*w + 5*w. Let b(j) = -j**3 + 17*j**2 - 18*j + 15. Is b(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00537 to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -141, -284, -427, -570?\nAnswer: -713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46 (base 12) to base 16.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2375*z - 2032. Let d be g(5). What is the highest common factor of d and 102?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1 + -3 + 4*(sqrt(51)\/((sqrt(3)*-1 - sqrt(3))*1) - (sqrt(68) - (1 + sqrt(68)))*-2)**2.\nAnswer: 27 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 v when three letters picked without replacement from {j: 5, v: 6, f: 4}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 516139900?\nAnswer: 2, 5, 47, 193, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1235 + 1240. Let m = -0.03 + 4.03. Let f = 5.4 - 6.4. Which is the closest to 0? (a) m (b) n (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**3*m**(-3\/29) assuming m is positive.\nAnswer: m**(84\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1896 divide 5896469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1920 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 26962*h**2 + 7 - 2*h - 26963*h**2 + 3. Let b be (-1 + 1)\/(-8 + 2 - -4). Calculate p(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -5. Let w be 333\/12 - j\/12. Suppose 5*s - t + 5*t = w, -4*t - 8 = -4*s. What is the second smallest value in -1, s, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 315071.33 - -0.7.\nAnswer: 315072.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.22 and 0.9634.\nAnswer: -0.211948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402305900?\nAnswer: 2, 5, 47, 85597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + (1 - 2))\/2. Suppose 4*t = 8*t. Let p = v - t. Solve 0 = -p*b + 5*b + 5*o - 25, -3*o + 5 = b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(102) - (-6*(5*sqrt(102) + sqrt(102) - sqrt(102)) - sqrt(102))) + sqrt(102) + sqrt(102)))\/(sqrt(384)*-6*-3).\nAnswer: 17*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 125064 and 193.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -17*f - 6*f - 21 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2831881\/2137014 + 7571\/3012. Let c = h + -47\/396. Calculate the common denominator of c and 7\/2.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 8*q**2 + 3*q + 2. Let g be l(-3). Let i = -98 + g. Let n be 400*(-1)\/((-6)\/i). What is n rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 802 a factor of 26428306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 + -34. Let t = 4.98 + -3. Let x = 0.02 + t. What is the third smallest value in f, x, -3\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9691 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: Let x = -851 + 833. Let l(w) = w**3 + 18*w**2 + 2*w + 37. Determine l(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of m**6\/720 - 7*m**4\/12 + 5*m. Let g(x) be the third derivative of q(x). Let n(a) = -20*a. Calculate g(n(f)).\nAnswer: -20*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 460.0012 - 460. Round y to 4 dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -365819 and -365819 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/3))**39\/((a\/a**(-4))\/a*a)**(-28))**48 assuming a is positive.\nAnswer: a**7344","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*n + 32*n - 16*n - 38*n**2.\nAnswer: -38*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, h: 3, d: 1, f: 1, y: 1, v: 6}. What is prob of picking 4 v?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cb when two letters picked without replacement from cqcqbccqbbccwqccqc.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (-1 - (-32 - (-15 + -4)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 7*c**2 + 6*c - 2. Let s be k(-6). Let x be s + 20 + 2 + -2. Let t = x - 73\/4. Which is smaller: 0.1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 9 (b) -2\/13 (c) 56 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2729 - -10911\/4. Which is the nearest to -2\/7? (a) 0.147 (b) 1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence epp when three letters picked without replacement from {e: 1, p: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 314 = 2*y + 2*c, -y + 86 + 71 = -2*c. Suppose o + 145 = y. What is the highest common factor of 30 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -306, -319, -332, -345, -358?\nAnswer: -371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/(-8))\/((-5)\/90). Let w be (-84)\/q*12963\/(-12). Let t = w - 3356. Find the common denominator of t and 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 179*g - 6123. Let b be o(36). Solve 267 = -9*k + b for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -78328\/3 + 26110. Let h = 61.78 - 0.78. Do z and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -3, p + 103 = 3*z - 202. List the prime factors of z.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -36900.266 and 316.\nAnswer: -36584.266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22471 is divided by 1220.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24995*u**2 - 596*u + 1 + 214*u**5 - 24995*u**2 - 1 wrt u.\nAnswer: 4280*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 150 = 5*i + 45, 0 = -2*d. Let m = i + 65. Is m a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12930 is divided by 317.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/2198 and -79\/932365?\nAnswer: 292762610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00448 rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 15) to base 11\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3 + 13*g**2 + 3. What is the remainder when (-294)\/12*2*-1 is divided by j(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 0 + -2 + 4. Put 2, 3, z in decreasing order.\nAnswer: 3, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 17*b - 44 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 3*a**2 - 2*a + 4. Let c be w(0). Solve 4*i - c = -16 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/7 - (-1170)\/126. Solve -a = -0*u + 3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((180\/(24\/6))\/(-1))\/(30\/(-250)*5).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2674, -37, -2, 3, -4, -1, 5 in ascending order.\nAnswer: -37, -4, -2, -1, 3, 5, 2674","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1124 - -455. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*y**2 + 30*y - 30*y.\nAnswer: 29*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l**3 - l**3 + l**3)*(2 - 1 - 2).\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 13735196 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 7 = w - 0, 5*w = 0. Suppose 0 = -l - 5*f + 23, 3*l - b*l = -3*f. Is 15\/l - 4 - (2 - 830) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 62 - -127. Let o be 1\/2*-2 - l\/(-9). Suppose o - 82 = -4*j - i, -j = -4*i - 7. What is the greatest common factor of 10 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 191, 3, -127 in increasing order.\nAnswer: -127, 3, 29, 191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.061 to two decimal places.\nAnswer: -1.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2137, 6134, 11995, 19720?\nAnswer: 29309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 25*h**3 - 382*h**2 + 82*h - 134. Determine s(15).\nAnswer: -479","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -321*z + 3215 = -3846 + 159 - 6901 for z.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 64732 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4 = 5*i. Suppose i*q - 5 = 3. What is the first derivative of -f**2 + q + f**2 - f**4 + 2*f**4 wrt f?\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**4. Let u(b) = -5*b**5 - b**4 + 5*b**3. Let x(i) = j(i) + u(i). Let x(t) = 0. Calculate t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 28*m**2 + 114*m + 19. Let k be l(23). Which is the second biggest value? (a) k (b) 0.5 (c) 0.1 (d) -2\/7 (e) 1\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 23*119\/14*12. Calculate the highest common factor of k and 1380.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3.15 (b) 2\/9 (c) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -81 - -81.00001324. Round z to 7 decimal places.\nAnswer: 0.0000132","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*j - 66*j + 65*j + 286909 = 0. What is the remainder when j is divided by 105?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35896*-638.2.\nAnswer: 22908827.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 57*a + 30 = -54*a, -2*n - 10 = 4*a for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*p - 408 = 46*p. Let t be (-32)\/p + 178\/(-1513). Put 7, -6, t in decreasing order.\nAnswer: 7, t, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -352*n + 12362 = -57*n - 14483 for n.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 5 - 6*d**2 + 7*d - 6*d**2 + 10*d**2. Give w(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + 8 + (-83 - (-2 + -17))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1992517*d**2*q + 2069*d + 13*q + 2 wrt d.\nAnswer: 3985034*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**2 - 1. Suppose -3 = 3*g + 3. Calculate k(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/35 - 44\/(-7). Suppose -3*h - 4*z + 4 = 2, -2*z - p = -2*h. Let j be 56\/(1 + h + -1). Solve -6*w + 2*w - 4*n + j = 0, w + 5*n = 23 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y + 3. Let b(l) = 32. Let v(a) = 2*a + 60. Let k(f) = -2*b(f) + v(f). Calculate 2*k(s) + 3*u(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 15*h**2 + 1 + 2*h - 4*h + 62*h**2. Let x be a(1). Suppose 4*u - 20 - 54 = -v, 2*v - x = -4*u. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4922788139?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 148684 - -18?\nAnswer: 148702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -f**5\/40 + 13*f**4\/4 - 120*f**3 - 800*f**2 - 1314*f. Factor n(x).\nAnswer: -(x - 40)**2*(x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j\/((j**(-10)\/j)\/j)*(j*j**(3\/5)\/j)\/j*j*j assuming j is positive.\nAnswer: j**(78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2916172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**4 + 0 + 0 + (3*f**2 + 2*f**2 + 26*f**2)*(2*f**2 + 6*f**2 - f**2).\nAnswer: 219*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 62 - 497?\nAnswer: -435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9479, -15240, -21001, -26762, -32523?\nAnswer: -38284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8812 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2090130.\nAnswer: 2, 3, 5, 7, 37, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 2209?\nAnswer: -2210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 12, -0.1, -1\/2, 0, 4, -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 61606 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 723051 and 138.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6.3369 * -0.2\nAnswer: 1.26738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54935447388707582*a + a**3 - 54935447388707580*a.\nAnswer: a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.38455 to 1 dp.\nAnswer: -14.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 267, 533, 799, 1065?\nAnswer: 1331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -10*p**2 - 5. Let x(n) = 18*n**2 + 10. Let g(s) = 7*i(s) + 4*x(s). Let u(v) = 2*v**2. Calculate g(u(a)).\nAnswer: 8*a**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 4, -162 in descending order.\nAnswer: 4, -3, -5, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(0*w - 5*w + 4*w)*(-2*w**2 + 5*w**2 + 0*w**2 + (-5*w**2 + 4*w**2 - w**2)*(4 + 0 - 2)).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/11)\/t)\/t**(2\/21))\/((t**10\/t*t*t)\/t*t**(-7\/5)) assuming t is positive.\nAnswer: t**(-10988\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a045 (base 12) in base 8?\nAnswer: 112265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53505433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 114307 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38920552?\nAnswer: 2, 11, 29, 101, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1367342860 and 260?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 5:48 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210102200 + -12200?\nAnswer: 210020000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -193421*c**3 - 19724*c**2 + 14 wrt c.\nAnswer: -1160526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 10*q**3 + 76*q**2 - 24*q + 203. Determine f(-8).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 129\/7 or 18?\nAnswer: 129\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 8*h**2 + 7*h + 2. Let w be x(7). Let g = w + 0. Find the third derivative of -4*d**4 + 3*d**4 - 9*d**g + 7*d**2 wrt d.\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 19260175, 19260176, 19260177, 19260178, 19260179, 19260180?\n\"Answer: f + 19260174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -341736\/7 + 48354. Let d = -464 - j. What is h in 0*h - 4\/7*h**2 + 0 + 2\/7*h**5 - 8\/7*h**4 + d*h**3 = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**8)**(-19\/5)*(v*v**(-1\/7))\/v**(5\/2))**36 assuming v is positive.\nAnswer: v**(-40374\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25.8 + -24. Let s = y + -2.3. What is the third biggest value in 3, s, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/7384 and 43\/115.\nAnswer: 849160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 20077520\nAnswer: 60232560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**8*f*f\/f**15 assuming f is positive.\nAnswer: f**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 296*v**2 + 16*v + 16. Let s(r) = r**2 - r - 1. Let g(a) = 80*s(a) + 5*u(a). Let d(p) = 2*p. What is g(d(z))?\nAnswer: 6240*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12467830 rounded to the nearest 10000?\nAnswer: 12470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 5*f**2 + f - 1. What is n(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence og when two letters picked without replacement from qoqgoiqiimii?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - -4. Suppose -10 = 3*s + 2*s. Let x(l) = -l - l - 6 + 5 + 0*l. Let y(p) = -8*p - 4. Calculate o*x(i) + s*y(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 194524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17 less than -11962.01?\nAnswer: -11962.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/5068 or 4\/273?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -33 - 3\/((-6)\/2). Let w = -50 - -31. Let l = w - f. Calculate the remainder when 37 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7211311441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -0 - 4, 3*a - 4*m - 236 = 0. Let g = -48 + a. What is the highest common factor of g and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54 - 54 + z)*(2*z**4 + 0*z**3 + 0*z**3) + 4*z**3 - 4*z**5 - 4*z**3.\nAnswer: -2*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2355\/(3 - 0) - (-42 - -40)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 23*x**2 + 128*x + 19. What is the remainder when u(-29) is divided by 80?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 22626*h**2 - 31350*h**2 - 300*h**3 + 297*h**3 - 6342348*h = 0.\nAnswer: -1454, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 203305?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of 1\/2*p**2 + 11*p + 0 - 1\/18*p**4 + 5\/18*p**3. Factor w(s).\nAnswer: -(s - 3)*(2*s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 + 31417*m**2 - 125656*m + 125652.\nAnswer: -(m - 31413)*(m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 4*j - 28. Let b(c) be the second derivative of c**4\/12 - 11*c**3\/6 + 12*c**2 + 33*c. Let m be b(8). Solve m = -16*i + j*i + 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2600 and 224120?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, m: 18}. Give prob of sequence cmcm.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104568 divided by -52284.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeeeee. Give prob of sequence eeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 6:29 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 l, and 1 g when four letters picked without replacement from {g: 1, l: 4, f: 2}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s. Suppose 0 = 12*d - 3*d + 36. Let r be (-410)\/d*(-4)\/5. Let z = -84 - r. Give l(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 405 divide 1799415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 + 607644*u + 200691920.\nAnswer: 4*(u + 331)*(u + 151580)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 1)*37\/306323. Is -1\/4 bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -1\/3, 2\/5751?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 393 = 5*q + 398 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 8 = -2*z + z, 3*z + n - 3 = 0. Suppose 9 = -b + z*b. Suppose b = -3*g + 54. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 17*m - 114. What is v(24)?\nAnswer: 870","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of 1\/84*w**8 + 0*w**4 + 1\/70*w**7 + 0*w**5 + 0*w + 3*w**2 - 1\/120*w**6 + 0*w**3 + 0. Factor q(u).\nAnswer: u**3*(u + 1)*(4*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6276099 divided by -20311.\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -1\/3*g**3 + 1\/10*g**5 - 1\/15*g**6 + g + 2 + 0*g**2 + 1\/6*g**4. Let p(w) be the first derivative of t(w). Factor p(x).\nAnswer: -2*x*(x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 - 8 = p. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/177 or -1\/20?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -19. Let d = 21 - l. Suppose w = -d*s + 17, -6*s + 2*w = -2*s - 22. Solve -4*j + m = -6 + 2, s*j + 3*m = 20 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**3 + 7*f**2 - 373*f - 28. Let m(q) = q**3 - 4*q**2 + 187*q + 16. What is -7*m(j) - 4*o(j)?\nAnswer: j**3 + 183*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/4*(-16 - (-662970)\/(-45)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b - 234*b**2 + b - 6*b - 2*b as f*b + w*b**2 + c and give w.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 6 - 3)*(-3 + 0 + 1)*(48 - 48 + 13*z) to the form a + f*z and give f.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 40249*h**2 + h + 12. Let x be i(4). Round x to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 + (-1 - -4) - -6. Suppose g*v - 19 = -67. Let b = -12 - v. Solve b = 3*t + 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -26464*a**3 - 2*a**2 + 159218 wrt a.\nAnswer: -79392*a**2 - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -387, -385, -383, -381?\nAnswer: -379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 478\/5 - 95. What is the nearest to -3 in t, 2\/3, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - b + 5*b + 8 = 0, -2*b = -5*a + 10. Let q(j) = 4*j - 2. Calculate q(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8183 is divided by 908?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 90 = 45. Let j = v + -92. What are the prime factors of j?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -1, 0.4, 325685?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45832 is divided by 4155.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 2254d7?\nAnswer: 2254da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 13) to base 12\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zxzvwddxwdzb. What is prob of sequence xvd?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -20269, -40544, -60819, -81094?\n\"Answer: -20275*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 5, 3, -5, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27.5 - -14. Let l = 14 + k. Sort -0.1, l, -3.\nAnswer: -3, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4*m - m + 2*m + 4 + 3*m**2 - 5. Let y be h(3). Let k be (-2)\/4 + (-309)\/(-6). What is the greatest common divisor of k and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 888*f - 111 - 116 + 192.\nAnswer: 888*f - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 + 25*b**3 - 2*b**2 - 44*b**3 + 22*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, 1, -2\/17, 0.6, 2, 2\/19 in ascending order.\nAnswer: -67, -2\/17, 2\/19, 0.6, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -6, -1\/3, 1.012, -4\/11?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + 0 - sqrt(117))*-6)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, 2, 35, 94, 185, 314, 487, 710?\nAnswer: 989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 8 = 0, -6 = d - 0*d - 5*q. Which is the second biggest value? (a) 3 (b) 19 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 1. Let o(i) = 1 + 2 - z. Let y = 11 - 16. Let d(u) = -2*u - 4. Calculate y*o(h) - d(h).\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -542, -875, -1208, -1541?\n\"Answer: -333*f - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1850 + -732. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 9*h - 9. Let m be o(9). Let j(c) = -c**2 - 3*c + 4. Let s be j(3). Let d be m\/(-6) + s\/(-4). Solve -d*w - 1 = -4*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -55*z**2 - 1965*z - 4893. Give k(-33).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -1cca956d?\nAnswer: -1cca956a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 10640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*l + 5*i - 11, 3*l - 25 = -4*i. Suppose 11*n - 8*n - 4*c = 205, 0 = -2*n - l*c + 114. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -483 * -0.1\nAnswer: 48.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 74056630 at least 74056625?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 1121 + 615 = 0. Let i be (-1)\/(-4) + 5992\/(-32). Let m = w + i. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -4, -2\/25, 0.15, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -546*o + 55755 = 829*o - 136*o for o.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - 5*x + 16, 4*x = -7*n + 8*n + 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 446291 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - p. Let d(q) = -4*q**2 - 3*q + 5. What is -d(x) + 2*j(x)?\nAnswer: 6*x**2 + x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -305090 divided by 11\nAnswer: -305090\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 1. Let n(r) = 3*r + 5. Let q(a) = -8*a - 14. Let l(y) = 11*n(y) + 4*q(y). What is -2*l(x) - 5*s(x)?\nAnswer: -2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2 - 11*m - 49. Let u be j(8). Let t(z) = 9*z + 38. Let w(g) = 18*g + 76. Let s(c) = -13*t(c) + 6*w(c). What is the units digit of s(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 13. Let l = v + -11.6. Let u = 0.1 + -0.1. Do l and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 73 + -55. Solve 2*u = 3*s + 18 - 6, 3*s + j = 4*u for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51)\/sqrt(3) + -4)**2 - (sqrt(17) - sqrt(34)\/(sqrt(4)\/sqrt(2)))**2) + ((sqrt(17)*-2*-1)**2 - (3 + 2 + sqrt(17))).\nAnswer: -9*sqrt(17) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193*q**2 + 1053 + 1060 - 2113 + 28*q**2.\nAnswer: 221*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -10*9\/(-10)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g - 2 - 3*g + 4*g - g**2 + 0*g**2 + g**3. Let v be w(2). Solve -5*p + v + 4 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - -54?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 441*d. Let u(z) = -3*z**2. Give u(b(h)).\nAnswer: -583443*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 749 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 83600738 to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -4 (b) 22 (c) -10\/7 (d) 1126\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -142, -213, -284?\nAnswer: -355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1969867033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -216*p**4 + 8052*p**3 - 99450*p**2 + 399375*p + 93750.\nAnswer: -3*(2*p - 25)**3*(9*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6280 + 10725. Let k(a) = -p + a + 4445. Let f(i) = 5*i - 6. Calculate f(k(r)).\nAnswer: 5*r - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, -342, 0, -1\/4?\nAnswer: -342","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34002 is divided by 4758.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3480749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -13) + (8 - 20 - 23)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 2\/3, -17733\/535, -8, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.26 - 6.74. What is the closest to v in -3, 0.2, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5882672 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 2:06 AM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-6*(sqrt(114) - sqrt(114)*-1)*-6)\/((sqrt(600) + sqrt(600)*1)\/(sqrt(400) - (sqrt(400) - (2*sqrt(400) - sqrt(400))))).\nAnswer: 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -59041, -59005, -58945, -58861, -58753, -58621, -58465?\n\"Answer: 12*w**2 - 59053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91799682, 183599365, 275399048, 367198731, 458998414?\nAnswer: 550798097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 7*g - 5*g - 3*u, 0 = 5*g + u - 43. Let z(h) = -46*h**2 - 3. Let v(b) = -15*b**2 - 1. Give g*v(q) - 3*z(q).\nAnswer: 18*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + 1)\/((-3)\/9). Suppose 4*k - h*z + z - 555990 = 0, 0 = -2*k - 2*z + 278010. Round k to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36766 = 3*o - 36820 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**3 - 56*f**2 - 172*f - 120 = 0 for f.\nAnswer: -10, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14351399?\nAnswer: 883, 16253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54*f**6 - 210*f**4 - 612109*f**2 wrt f?\nAnswer: -6480*f**3 - 5040*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4076, -4079, -4082?\n\"Answer: -3*i - 4073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13744184 a multiple of 896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(-4*sqrt(3)) + sqrt(26)\/(sqrt(16)\/sqrt(8)).\nAnswer: 3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(1008) - (3 + sqrt(1008))) + 5 - (-3 + -2*sqrt(1008))).\nAnswer: -24*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1)\/l)\/l)**(-17)\/(l\/(l\/((l*l**(3\/5))\/l))*l**6)*(l*l\/l**(-2\/3))**(-2\/45)*((l\/(l**(-1\/2)\/l))\/l)**27 assuming l is positive.\nAnswer: l**(18301\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - -4*(sqrt(77) + sqrt(77) + sqrt(77)*1 + sqrt(77)))*3)\/(2*sqrt(22)\/sqrt(2) - -2*sqrt(11)*-3).\nAnswer: -51*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r + 6. Suppose 4*o + 434 = -2*b, b + 233 = -4*o - 200. Let g be 24\/o + 2\/9. List the prime factors of x(g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 689392 divided by 5\nAnswer: 689392\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22778535?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(500) + -1)**2.\nAnswer: -20*sqrt(5) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 33 = -5*q, 11*r - 7*r = 16 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1019, 2087, 3155, 4223, 5291, 6359?\n\"Answer: 1068*i - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 + -50. Let s = -21 - v. Let y = -4 - -3.8. What is the closest to y in -0.2, 0, s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 175?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 + -1 + -4 + 3. Suppose 4*j + 1 + 3 = 5*q, -2*j + 16 = 2*q. Suppose 6*g = 3*g + 15. Solve i + j*i = g*b, -m*i = 2*b + 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - c**2 + 2)*((-1 + 2 - 3)*(c + 2*c - c) + 11*c + 26 - 26).\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (11283*(-4)\/(-24))\/((-2)\/(-4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -100110111?\nAnswer: 100111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2\/5, -46, 1\/2, 1\/3 in descending order.\nAnswer: 1\/2, 1\/3, -2\/5, -1, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q + 4*t + 5, -2*t - 3 = -2*q + q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 33*w**2 + 121*w + 19. Determine a(-5).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 - -20. Which is smaller: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*((sqrt(95) - (sqrt(95) + (-3*sqrt(95) - sqrt(95)))) + sqrt(95)))\/((sqrt(75)\/sqrt(3))\/sqrt(5)))**2.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*g - 5 - 2)*(-g**2 - g**2 - 3*g**2) - g**3 - 2*g + 0*g**3 - 14*g**3 + (-3*g**2 + 3*g**2 - g**2)*(3*g - 4*g - g).\nAnswer: -3*g**3 + 40*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 10*y**5 + 236*y**4 + 558*y**3 + 252*y**2 = 0.\nAnswer: -21, -2, -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 460*g**2. Let f(i) be the second derivative of -17*i**4\/12 + 13*i - 9. What is 161*f(h) + 6*l(h)?\nAnswer: 23*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419 is divided by 201?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -950*v - 17092. Determine m(-18).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*u - 4362 + 3108 for u.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -21924.24 rounded to the nearest 100?\nAnswer: -21900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5 - 20 - 6 + 174*k**6 + 26*k**6 - 10*k**2 + 7*k**2 wrt k?\nAnswer: 24000*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44\/3, -3\/5, -11, 0, 3 in descending order.\nAnswer: 3, 0, -3\/5, -11, -44\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -g**6\/60 + g**5\/12 + g**2 - 4. Let y(t) be the second derivative of x(t). What is the third derivative of y(p) wrt p?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 3*p - 93 = 0, 214*t - 2*p - 46 = 208*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 10, 4*x - 80*l + 77*l - 72845 = 0. What is the remainder when x is divided by 276?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*d + 5 = 0. Which is bigger: -5 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50197.47 nanograms to kilograms.\nAnswer: 0.00000005019747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 1 = q. Let w be 38\/q + 57\/(-95). Suppose 0*u = -x + u + 10, x = 2*u + 6. Calculate the greatest common factor of x and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 16*p + 0 + 0*p.\nAnswer: -16*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 39097280 a multiple of 435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 1206 (b) -89 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58.39 - 58.99. Which is the third smallest value? (a) g (b) 0.3 (c) 3\/11 (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 45\/12 - 6\/8. Sort 2, c, -1 in decreasing order.\nAnswer: c, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6762317, -6762318, -6762319, -6762320?\n\"Answer: -g - 6762316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s - 6. What is t(-10)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.193427 * 2900\nAnswer: -560.9383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 8 - 1. Suppose 27 = -3*i + q*p, -i + p + 11 = 4*p. Let a = 586\/7 - 84. What is the smallest value in a, 0.4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 895786961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 290, 585, 886, 1193, 1506, 1825?\nAnswer: 2150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t - 8. Let c = -3 - 3. Let p(y) = y - 4. Let m(j) = c*v(j) + 11*p(j). What is the units digit of m(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150982*q - 2090 = 151037*q for q.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xjxnjxgxxxgngjgxjng. Give prob of sequence jgnx.\nAnswer: 35\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62919, 126685, 190451, 254217, 317983, 381749?\nAnswer: 445515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -3850\/13313?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Add together 30017729 and 35.4201.\nAnswer: 30017764.4201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -1, -0.1, 4, -41 in ascending order.\nAnswer: -41, -1, -0.1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i**3 - 4*i**2 + 20*i - 64. List the prime factors of y(4).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 913.\nAnswer: 6391","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4411050 to the nearest integer?\nAnswer: 2100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110100010000 (base 2) to base 13.\nAnswer: 16a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 7*h + 5. Give l(-3).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**11*w*w*w**(-13\/5)\/w*w assuming w is positive.\nAnswer: w**(-53\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/400635 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4*z**3 + z**2 - 2*z. Let l = 5306 + -5314. Let x(g) = 11*g**3 + 3*g**2 - 5*g. Determine l*y(c) + 3*x(c).\nAnswer: c**3 + c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/26)\/(j\/(((j\/(j*j**(-1\/18)*j*j))\/j)\/j)*j)*(j*j**22)**(16\/7))**(-5\/13) assuming j is positive.\nAnswer: j**(-190780\/10647)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*t - q, 3*t - 5 = -0*t + q. Let w(z) = 5 - 9*z**2 + t*z + 3*z**2 - z**3 - 7*z. What is the units digit of w(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2 + 13*q + 1. Determine o(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3436 - 512. Let k = h - 21714. What is k rounded to the nearest one thousand?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 292 + 293 = 0, -6*i = -4*r - 22 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7390.2*-0.5.\nAnswer: -3695.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -4*d**2 - 8*d. Suppose -5*g - z + 3*z = -234, 2*z = g - 50. Let r = 75 - g. Let p(o) = -3*o**2 + 12*o**2 - r + 17*o + 29. Determine -7*k(q) - 3*p(q).\nAnswer: q**2 + 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/7 in 0.062, 4, 4\/7?\nAnswer: 0.062","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1445 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i**2 + 19*i - 7. Let a(v) = 4*v**2 - 14*v + 6. Let f(h) = 3*a(h) + 2*g(h). Let b = 0 - -3. Calculate f(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12673 is divided by 1970.\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 190 + 7\/3*d**2 + 1997\/3*d.\nAnswer: (d + 285)*(7*d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 6*r**2. Let k(m) = -20*m - 476. Give d(k(l)).\nAnswer: 2400*l**2 + 114240*l + 1359456","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h + h + 6*h - 3*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21005)\/75618)\/(10\/6).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 5*o - r, -4*o + 3*r - 23 = -9*o. Suppose -4*k + 0*j + o = j, -5*k + 9 = j. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**3 + 3 - 3)*(-9 - 7*s**2 + 9) - 14*s**5 + 13*s**5 - 5 - 5.\nAnswer: 20*s**5 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 8*s - 3. Let x(i) = 5*i. Let q(g) = -9*g - 1. Let a(p) = -2*q(p) - 5*x(p). Determine 7*a(d) + 6*y(d).\nAnswer: -d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/27*-36 - (-75 + -9).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 845344 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 2\/13 (b) 4 (c) -0.1 (d) 95.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, -3\/11, -2, 2\/9, 1, 1\/52?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a92 (base 14) in base 10?\nAnswer: 15808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1068, 1063, 1056, 1047, 1036, 1023?\n\"Answer: -u**2 - 2*u + 1071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 4:48 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - 20 - (-1 - -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - -106. Let o = v + -74. Suppose -3*j - 2*w + 25 = 0, 6*j + 5*w - o = j. Is j at least as big as 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**3*c**2 - 10*a**3*c - 2541*a**3 + 7848*a**2*c**2 + a*c**2 - a*c wrt a.\nAnswer: -12*c**2 - 60*c - 15246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -348*f + 172*f + 177*f for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 127, 727, 1961, 4141, 7579, 12587, 19477, 28561?\nAnswer: 40151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(((t**(2\/7)*t)\/t)\/t))\/t)\/(t*t\/(t\/(t*t**(-5)*t))))**(12\/7) assuming t is positive.\nAnswer: t**(228\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 8:18 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 17*m**2 - 2*m + 38. Determine c(17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1827 and 10027.\nAnswer: -1831.9329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3251121 + -400?\nAnswer: -3251521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 228 + -227. Let q = -0.226 + 3.166. Let k = q - -0.06. What is the nearest to -1\/4 in z, k, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 7 - 2. Suppose -z = z, 3*u = z + 27. Solve -j*p - 15 = -x, 0*x - 2*p - u = -x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 13. Let n(r) = -r**3 + r**2 + 3*r - 2. Let v be n(z). Suppose 3*m = -5*a + 49, 1 = 2*a - 5*m - v. Solve -6*y = -2*y + a for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -107855.4531 rounded to the nearest one thousand?\nAnswer: -108000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-786)\/8*((-35)\/84)\/(780\/832)*3?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1354097, -1354263, -1354539, -1354925?\n\"Answer: -55*d**2 - d - 1354041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -138 + 168. Factor 147 + t*k - 42*k - 19*k + 12*k**2 - 53*k.\nAnswer: 3*(2*k - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/4)*s**0\/s)\/(s**(4\/5)*s**(1\/9)) assuming s is positive.\nAnswer: s**(-299\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddvdv. Give prob of picking 2 d.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 13\/2 + (-4)\/8. Suppose 4*y + 4 = c*y. Solve y = 2*v - 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - 0*2\/2. Suppose -p = -3*n + 7. Let o be (10 - 10)\/(-2 + 1 + -7 + 7). Solve o = -0*i - i - n for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -k - 1250 + 1265, 0 = -2*k + 5*y - 15 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*t**2 - 5*t**2 + 4*t**2)*(-45 + 15*t + 45 + (1 + 1 - 4)*(3 - 3 + 2*t))*(-2 + 9 - 2) to l*t**2 + w*t + o + k*t**3 and give k.\nAnswer: -440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -36\/23? (a) 0.5 (b) 2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.44 - 1.26. Let z = 22047840 - 22047838.3000067. Let d = y + z. What is d rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000412863 to 6 decimal places.\nAnswer: -0.000413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 65 + -3?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -49.7 and -0.04.\nAnswer: 1.988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - g - 0*g + 169, 0 = 5*o + 3*g - 420. Does 20 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1369000 rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*h - 22. Let l be -1*(-2)\/(-6)*0. Suppose -4*n = -2*t + 10 - l, 0 = -5*t - 3*n + 12. What is the highest common factor of t and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 430, 878, 1356, 1852, 2354, 2850, 3328?\nAnswer: 3776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2674341 to the power of 1\/2, to the nearest integer?\nAnswer: 1635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6630637.9299937 + 6630639. Let b = 1.07 - u. Round b to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 615\/(-25)*3\/((-15)\/25). Let h(t) = -t + 260. Let d be h(-27). Calculate the greatest common factor of d and z.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 14 (b) -1 (c) 0.05 (d) 313 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**2 + 8*r - 2. Let q be w(-4). Let n(i) = 4*i**2 + 3*i. Let o be n(q). Let m = -16 + o. Let g(p) = -p - 2. Determine g(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -29*s - 250. Calculate a(-8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2844)\/270 + 424\/795?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 334 - 22013?\nAnswer: -21124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/1143 and -16\/76835.\nAnswer: 691515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 280567092, 280567087, 280567072, 280567041, 280566988?\n\"Answer: -b**3 + b**2 - b + 280567093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 10*y**2 + 84*y + 32. What is f(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a gram in milligrams?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7*300\nAnswer: 2100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 95*x - 26. Let p(n) = -2*n**2 - 171*n - 47. Give -20*a(i) + 11*p(i).\nAnswer: -2*i**2 + 19*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -728622 divided by -6\nAnswer: 121437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 4*y + 3. Let u be o(4). Does 5 divide 1*7 + (u - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**4 - 8*r**3 + 4*r**2 - 2*r + 2. Let w(b) = -4*b**4 + 17*b**3 - 7*b**2 + 4*b - 5. Suppose -3 = t - 7. Let s(n) = t*w(n) + 10*d(n). Factor s(p).\nAnswer: 4*p*(p - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1654\/827*(-58)\/10*65\/26?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (-40)\/6*30*(-1)\/8. Let v(n) be the first derivative of 0*n**3 + 0*n**2 + z - 17\/4*n**4 + 35*n. Differentiate v(q) wrt q.\nAnswer: -51*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 17. Let y(f) be the second derivative of -f**4\/12 + 5*f**3\/6 + 7*f**2\/2 - 53075*f. Give y(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3c85235 + -c?\nAnswer: 3c85229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -0.4 (c) -1 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 36651 (base 7) to base 3\nAnswer: 111011020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 669\/(-873)*(-214)\/40. Let u = b - 8\/485. Find the common denominator of u and -23\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -83977773, -83977771, -83977767, -83977761, -83977753, -83977743, -83977731?\n\"Answer: a**2 - a - 83977773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 375, 5.4, -14?\nAnswer: 375","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*d + 44*d + 114 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 5, 3, 1057, -54 in ascending order.\nAnswer: -54, -4, -1, 3, 5, 1057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*j + 4*d = -55*j + 12, 8 = 2*j + 3*d for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-3*((-2*(-4 + sqrt(128) + sqrt(128) + (sqrt(128) - (2 + sqrt(128)))))**2 + 1).\nAnswer: -13824*sqrt(2) + 39474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47282?\nAnswer: 2, 47, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -5*u**2 - 2*u + 3. Let q(s) = -4*s**2 - 2*s + 4. Give 5*q(n) - 6*y(n).\nAnswer: 10*n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 99*q**4 + 138*q**2 + 2*q + 198061?\nAnswer: 396*q**3 + 276*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 12. Let z = -6 - v. Which is the nearest to z? (a) -3 (b) -2\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23641.97 to the nearest one thousand.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u. Suppose -5*v = -3*p - p + 1, -4*v = -3*p. Let j = 7 + v. Let m be ((-68)\/10)\/(2\/j). Let d(q) = 11*q. Give m*g(b) + 6*d(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4 = -2*v, -5*a - 4*v = -2*a - 9. Let x be (0 + 4 - -1)\/1. Let d be a\/x - (-12)\/60. Solve d = -5*m + m - 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 0) + (-125 + 125 - (-6 + -2))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 14. What is the third smallest value in s, -2\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21.18 + -21. Let w = v + -0.58. Let l = 0.5 + -0.6. Is w < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2560*u**4\/3 - 12736*u**3 - 987182*u**2\/15 - 4882*u - 456\/5 = 0.\nAnswer: -4, -3\/80, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**5\/45 + 2*r**4\/9 - 8*r**3\/9 + 3*r**2. Determine y so that u(y) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8326526, 8326530, 8326534, 8326538, 8326542?\nAnswer: 8326546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 536886593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 6*k**2 + 6*k - 2. What is the remainder when 0\/(1 + 2) + 12 is divided by i(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and -1260758.\nAnswer: -1260761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1063 - 1064. Which is the nearest to -2\/21? (a) -0.3 (b) -2\/13 (c) l (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 6*z + 2. Let i be n(-6). Suppose i*u - 241 + 51 = 0. Is 19 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -16, 2*i + 148 = 4*o + 880. Let s = i - 269. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.5, 4, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 1 + 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13453023*s**3 - 2978946*s wrt s?\nAnswer: 80718138*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 44*u. Let d(c) be the third derivative of -c**5\/30 + 36*c**2. What is d(i(f))?\nAnswer: -3872*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4644)\/(-258)*((-2)\/6 + 0)\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*c + v + 86 = 0, -4*c - 5*v + 317 = 0. Is c*1\/((-2)\/(-2)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 15 + 14?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g**3\/17 + 20878*g**2\/17 - 5461960*g\/17 + 1558856\/17 = 0. What is g?\nAnswer: 2\/7, 338, 1153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - c = c + 193, -2*y + 3*c + 132 = 0. Does 7 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dy when two letters picked without replacement from ydb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2 + sqrt(1331))*2 - (1 + sqrt(891) - 6*sqrt(44)\/sqrt(4)))**2.\nAnswer: 5934*sqrt(11) + 183580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37206, -74487, -111768, -149049?\nAnswer: -186330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2178, 2087, 1970, 1815, 1610, 1343?\n\"Answer: -2*f**3 - f**2 - 74*f + 2255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 - 9. Suppose 3*z - 359 = -5*c - t, 5*z - 585 = 2*c. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 6*q - 7. Let k be c(-4). Does 20 divide (-2 - 0) + 252 + k + -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**2 + 6*k - 2. Let b(g) = 2*g**2 + 5*g - 1. Let i = -17 - -13. Determine i*p(s) + 5*b(s).\nAnswer: 2*s**2 + s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 8) to base 2.\nAnswer: -10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 16*g**2 - 43*g - 122. Let u be k(-18). Let v = -3602\/15 + 240. Let x = -245 - -250. Which is the closest to u? (a) v (b) -5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**2 - 10 - x**2 + 0*x**2. Suppose 0 = 5*k - 2*g + 35, 9 = -3*k + 5*g - 12. Let u be l(k). Calculate the highest common factor of 8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 11, w: 2, r: 5, u: 2}. Give prob of sequence uwre.\nAnswer: 11\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4*w + 32 = 0. Let j = 19 + w. Let k = 45 - j. What is the least common multiple of k and 13?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 11. Suppose u = k*u - 8. Find the third derivative of -5*p**6 - u*p**6 - 2*p**2 + 5*p**6 - p**2 wrt p.\nAnswer: -240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d**3 + 30*d**2 + 9*d + 4. Determine y(11).\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 11. Let o(c) = c + 2. Let p be o(8). Calculate the highest common factor of p and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112059805 and 715.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*y + 101*y + 10675*y**2 - 10673*y**2 to b*y + f*y**2 + m and give b.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.3 and 5.4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -5. Let h be 115\/20 + w\/(-4). Do 6 and h have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 1\/((-4)\/(-5))*(39 + -7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -847*f + 1500*f - 3948 = 794*f for f.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -9.954\nAnswer: 1.9908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 783958 is divided by 261314.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 5:46 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*s - 98 = 0. Let w = s + 138. Suppose -w*q + 34*q = -90. Solve q = -6*p + 3*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h + 5. Let z be b(4). Let a be 40\/(-10) + (17 - z). Suppose 0 = 2*g, -j + a - 3 = -3*g. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-4)*(-18)\/36\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, i: 2, s: 1, u: 2, x: 2}. What is prob of sequence xisu?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + 2 + -5 - 2) + 7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u**3 - 2*u**2 - 2*u. Suppose -2*q = -4*x - 2 - 0, -2*q + 18 = 4*x. Let z be t(x). Suppose 0*k = -2*k + z. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/(-7))\/((-5538)\/6461)?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1103033330 - 3?\nAnswer: 1103033322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (23 - 20 - (0 + -4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -23\/6*d**3 + 7\/10*d**5 - 13*d + 0*d**2 + 0*d**4 + 0. Find the second derivative of y(i) wrt i.\nAnswer: 84*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 6. Suppose r = -t, 0*a - 3*a = -3*t - 144. Let h = a + -18. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -290, -277, -264, -257, -262, -285, -332?\nAnswer: -409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and -46545?\nAnswer: 46544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 25*w**3 - 6*w**2 - 9*w - 1. Determine o(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74, -145, -246, -371, -514, -669?\nAnswer: -830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 4 - 1 - 22 - 18*w + 6*w**2 - 5. Let q be c(-17). Let u = q - 1087. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a**2 - a**2 + a**2)*(-5*a**2 + 8*a**2 + a**2)*(7 + 8 - 9) + (-2 - a + 2 + a**3)*(0 + 2*a + 0) to v*a**3 + j*a**4 + u*a + o + x*a**2 and give j.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11 or -0.0639?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -0.3, 23\/37?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 2:16 AM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17926.5855 + -17893.5854962. Let q = n + -33. Round q to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9a9c0 (base 16) to base 4.\nAnswer: 2122213000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396) + sqrt(396)*2 + (1*sqrt(22))\/sqrt(2).\nAnswer: 19*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*j*x*z**3 + j*x*z**2 - 1309*j*x - 125*j*z**3 + x*z**3 wrt z?\nAnswer: -24*j*x - 750*j + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1014 and 10739950?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 1 (c) 3 (d) 2\/13 (e) 223 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qxq when three letters picked without replacement from {l: 3, q: 2, x: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5764, -5349, -4834, -4219, -3504?\n\"Answer: 50*p**2 + 265*p - 6079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 649, 725, 843, 997, 1181?\n\"Answer: -n**3 + 27*n**2 + 2*n + 621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 490484 and 340.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18819\/11 + (-238)\/(-1309). Calculate the highest common factor of a and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + i - 205 = 5*z, -i = -z - 52. Find the third derivative of 11*v**3 - 18*v**2 + i*v**2 - 24*v**2 wrt v.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -5*z - 35. Let h be m(-8). Does 30 divide 4 - (12\/(-10))\/(h\/925)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*b - 1036 = -58*b. Let q be 48\/(-10)*1*-40. Let z = q + b. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 64625838?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 894743 to the power of 1\/2, to the nearest integer?\nAnswer: 946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1823, -3455, -5095, -6749, -8423, -10123, -11855, -13625?\n\"Answer: -o**3 + 2*o**2 - 1631*o - 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2409*l - 9. Let u(o) = -34*o - 4. Give u(m(j)).\nAnswer: -81906*j + 302","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51 - 51. Suppose z = 5*s - 2*o - 1062 - 309, 3*o + 1374 = 5*s. Suppose -686 + s = -4*v + 3*x, 0 = 3*v + x - 300. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7968 and 1824?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 61266 + 100?\nAnswer: 61366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1144 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -24\/319, -51.91, 0.2?\nAnswer: -24\/319","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/7 of a week in hours?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-42))\/(75\/35).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3530631 (base 7) to base 6\nAnswer: 13305513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.3, -5, 0.3, -57\/22 in increasing order.\nAnswer: -5, -57\/22, -0.3, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**4*w**(-1)*(w\/(w**(-2\/3)*w*w))**(-45)*(w**(2\/5)\/w)**(2\/3)*w*w**(2\/3)*w\/(w\/((w*w**(1\/5))\/w*w)) assuming w is positive.\nAnswer: w**(307\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -122122022200000 (base 3) to base 10\nAnswer: -9375426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 5.4. Let q = -4 - 2. Let c = q - o. Put c, 5, -2\/21 in ascending order.\nAnswer: c, -2\/21, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*v**4 - 4704*v**3 - 167128*v**2 - 879648*v - 1258884.\nAnswer: -4*(v + 3)**2*(3*v + 187)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -215*w**3 - 3*w**2 - 22*w. Let u(f) = 72*f**3 + f**2 + 8*f. Calculate 4*j(v) + 11*u(v).\nAnswer: -68*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*-1 - 24\/1. Let g = r - -37. Suppose 0*n + 4*n = 84. What is the remainder when n is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-166)\/(-83)*(-5)\/(2\/(-2)*1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/9 and 262029 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38310908 is divided by 113.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*x - 114 = -0*x + 90 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 4:32 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/2)\/(5\/10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21134*l**3 - 4139*l - 5.\nAnswer: -126804*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nggc. What is prob of picking 1 g and 1 n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -101568, -203180, -304790, -406398, -508004, -609608?\n\"Answer: h**2 - 101615*h + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*g + 5321 = -3247. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(((-30)\/(-420))\/((18\/(-6))\/3))?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l + 5*i = 13*l - 7, -58 = -3*l - 2*i. Calculate the greatest common factor of l and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**2 - f**2 + f**2 + (-2 + 2 - 2*f)*(f + 2*f - 2*f))*(-5*f + 5*f + 2*f**2).\nAnswer: 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -5*m**4\/12 - m**3\/2 - 5*m**2 - 2*m. Let u(i) = -14*i**2 - 8*i - 29. Let l(r) = -4*u(r) + 11*v(r). Give l(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**3 - 2091*z**2 + 2088*z = 0 for z.\nAnswer: 0, 1, 696","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2. Suppose -6 = -3*d - 0. Let n = 14 - 12. Let w(a) = 2*a - 3*a**2 - n*a - d*a**2. Calculate y(w(v)).\nAnswer: 25*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3 + 3 + b - 5256*b**2 + 5257*b**2. Let d = -8 + 14. What is the units digit of m(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -168685423 - -263015423. What is u rounded to the nearest 1000000?\nAnswer: 94000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/((-96)\/12)*(-6)\/((-48)\/(-44)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**2 - 2*j**2 + 6*j**2)*(4*j**2 - 2*j**2 + 0*j**2) + 5*j**4 - 11*j**4 - 4*j**4.\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/7)*l*l\/(l*l\/(l*l\/l**2))*l*l**3*(l**(2\/13)*l)\/l*(l**(-1)*l**4)\/(l\/l**(-1)*l**(-3\/5)) assuming l is positive.\nAnswer: l**(2488\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/5795 and -25\/627?\nAnswer: 191235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + h + 1. Let k(g) = -g**3 + g + 4. Give k(w) - 3*z(w).\nAnswer: 2*w**3 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -151414.\nAnswer: -302828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of 1\/12*c**4 + 5\/6*c**3 + 0 - 3*c**2 - c. Suppose g + 2*q = -19, -3*q = 26*g - 21*g + 46. Give a(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-6*(0 + (sqrt(272) + 0)**2)*-5.\nAnswer: 24480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 6) + (7 - -9) + -9\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 4. Let p = 1.05 - z. Let k = p - 3.05. Which is the smallest value? (a) k (b) -5 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 42 = -5*w. Suppose -w = d + 5*c + 37, 2*d = -5*c - 148. Round d to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5*b**2 + 91*b - 79. Determine a(16).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*g**2 + 283*g - 65*g**3 + 34*g**3 - 285 + 1230 + 374*g + 34*g**3 = 0.\nAnswer: -35, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 4*r**2 + 2. Let o be j(-4). Solve 3*v - 3*l - 6 = 0, -o*l + 0*l = 10 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**3 + 2*g**3 + 2*g**3)*(0*g**2 + 0*g**2 - g**2) + (-313*g - 231187 + 231187)*(-4*g**4 + 2*g**4 + 3*g**4).\nAnswer: -315*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/4)\/(602\/344)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = 65141 - 20211. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20067.\nAnswer: 3, 6689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16657514?\nAnswer: 2, 61, 136537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6705*g - 2670*g - 488235 for g.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 4\/9*t**3 + 0*t**4 - 2\/3*t + 29 - 2\/15*t**5 + 0*t**2. Solve p(b) = 0 for b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2663*p**2 + 62*p + 72. List the prime factors of d(4).\nAnswer: 2, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 31, 33, 33, 31, 27, 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 + y**2 + 34 - 113 + 42.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-5\/4)*(z*(z*z\/(z*z**2))\/z)\/z*(z*z\/(z\/(z\/(z\/(z*z*z**1*z)))*z))**46 assuming z is positive.\nAnswer: z**(723\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**3 - 4*x**2 + 6*x = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25262743 to the nearest integer?\nAnswer: 5026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of (178\/8)\/(1530\/(-768) + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and 1581.\nAnswer: 1579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((900\/(-75)*(-7)\/(-2))\/(-3))\/(624\/(-572))?\nAnswer: -77\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*q - 39*q + 648930 = 0. Is 30 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45413255.\nAnswer: 5, 587, 15473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -5*d + 25. Let i be r(4). Let -i*g**2 - 2*g**2 + 6*g - 8*g + 4*g**3 + 0*g = 0. Calculate g.\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8950\/105343 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 49*b - 127. What is the remainder when y(5) is divided by (1*12)\/((-4)\/(-10))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 - 34. Suppose 282 + 380 = g*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3361 + 2*h + 8510 - 3*h - 5149.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 0.031 (b) 7\/9 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14918892 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -356*g + 307*g = -80115. What is the remainder when g is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 74100 and 111150?\nAnswer: 222300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 3*c + 0*c)*(-3 - 2 + 7) + 2*c + 4 - 4 + 1 - c - 1 - 1 + 1 - c - 1 + 3 - 1 + 2*c.\nAnswer: 4*c + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6002231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1 + (1*sqrt(1900) - sqrt(1900)))**2*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - d + 4*o = -682, d + 4*o = 341. Suppose 11*j - d = -44. Let u(f) = -f**2 - 6*f - 5. Let t be u(-2). Calculate the highest common divisor of t and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273655 = 17*a - 82829 + 190705. Which is smaller: a or -22444?\nAnswer: -22444","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/10)\/((-63)\/210).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326562 is divided by 9169?\nAnswer: 5647","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/30*1\/(-3)*182\/(9464\/(-156)).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + -4. Let y(v) = 6*v**2 + 15*v + 13. Is y(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71476?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1339?\nAnswer: 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -99*f**3 + f**2 - f - 1. Calculate the smallest common multiple of u(-1) and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48\/7 - 514\/77. What is the closest to 0.5 in z, -1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 579\/9 + (-12)\/(-18). Let f be (-1)\/5 - 182\/s. Let l be (-6)\/(-18) - 14\/f. Solve -6*g + 3*g - 10 = 5*c, -4*g + 45 = -l*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-12)\/54)*(-7)\/(21\/(-4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11033 - -102203301?\nAnswer: 102132202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 4*n**2 - 4*n + 2. Suppose -15 = 3*f + 4*r, 22*r - 25 = 5*f + 27*r. Give l(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**4\/(v*v**(8\/9))*v**(8\/11)*v**9 assuming v is positive.\nAnswer: v**(1172\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f**2 - 6*f + 4. Let q be d(4). Let l be (3 - 8)*q\/(-5). Calculate the greatest common divisor of l and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 1:40 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14643957 and 3678.\nAnswer: 1839","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5*p = 168570, -5*p = -2*c + 87705 - 20277. What is the thousands digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -5*r + 1, -2*r + 5*r + 2 = 5*z. Let w = 0 - -2. Sort r, w, -5 in decreasing order.\nAnswer: w, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37\/15 - 43\/60. Put -0.06, k, 4\/7 in decreasing order.\nAnswer: k, 4\/7, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3891521 to the power of 1\/2, to the nearest integer?\nAnswer: 1973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*j - 37 + 334 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 70673 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -263 + 266. Let n(w) be the first derivative of 1\/4*w**r - 2 + 0*w - 3\/8*w**2. Let n(i) = 0. What is i?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000004026824 to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 15) to base 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 288 or -8?\nAnswer: 288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -11*v + 43. Let l(d) = -d**2 + d - 1. Let p(a) = -18*a**2 - 9*a + 9. Calculate v*l(z) + p(z).\nAnswer: -27*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 8*m + 12. Let t be l(9). Suppose 220 = 2*h + t*h. Calculate the highest common divisor of 22 and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-3\/8)*h**(-2\/5)\/h assuming h is positive.\nAnswer: h**(-31\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1201174 (base 8) to base 12\nAnswer: -139bb8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of n**3\/2 - 23*n. Let d(k) = -17*k - 2. Determine d(t(y)).\nAnswer: -51*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -595439600 rounded to the nearest one million?\nAnswer: -595000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/((58\/14 - 4)\/1). Suppose w*c = 7*c + 812. Suppose -26 - c = 7*p. Is p < -92\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 3962\/(-21) - 2\/(-3). Let l = 350 + a. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 112*m**2 + 74*m + 31207. What is r(115)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 + 60 = c. Suppose -3*p + 135 = -3*l, 0 = -3*p - 5*l + 2*l + c. Let y = 682 + -4796\/7. What is the common denominator of y and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -113? (a) 0.1 (b) 1 (c) -0.022\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 107237, 109138, 111043, 112952, 114865, 116782, 118703?\n\"Answer: 2*p**2 + 1895*p + 105340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 101435 to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*s - 2. Suppose -3*h + r = s*r - 3, -h - r = -2. Suppose 4*t - 7 = 13. Does t = h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -2. Suppose -j = -0*j - 2. Suppose -z + j = -l*z. Solve -7*p - 10 = -z*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-46)\/(-14) - (-36)\/(-126). Suppose 4*g + 36 = b*c, -4*g + 0 = -12. What is the smallest common multiple of c and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 16 - 32. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*(k**(2\/23)*k)\/k))\/k**(-6\/7))**28\/((k**(-1\/5)\/(k*k\/k**(2\/3)))\/((k*(k\/k**(-1\/4))\/k*k)\/k**(-2\/9))) assuming k is positive.\nAnswer: k**(105863\/4140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -391364346 divided by -2.\nAnswer: 195682173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 6.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12785 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 81281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10 + -10)\/(6 - 13). Do g and 1\/6000 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2069746, -4139492, -6209238, -8278984, -10348730?\n\"Answer: -2069746*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + (-1 - 24\/(-1)). Let o = j + -8. Let g = 40 - o. What are 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 hundreds digit of 325271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3954084570 to the nearest integer?\nAnswer: 62882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.6 and -14976.6.\nAnswer: 8985.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 10:01 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -5\/6*m**6 + 0*m**4 - 10 + 4*m**2 + 0*m**3 + 0*m**5 + 0*m. Find the second derivative of s(d) wrt d.\nAnswer: -100*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z. Let v(d) = 6*d. Let b(f) = -9*j(f) + 2*v(f). Let r(l) = -253*l**2. Give b(r(i)).\nAnswer: -759*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 90 + 106 = -0*w - 200*b, 0 = -2*w + b - 7 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 4921.\nAnswer: 9\/4921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*u + 3*x + 20 = -49*u, 4*u = -3*x - 34 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/81)\/(16\/10 - (-57)\/(-95))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 0*o = 4*o + 106, 2*p - 4*o = 40. Suppose p = d + d. Let m(g) = -7*g + 7. What is the remainder when m(-5) is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-8)*(5 - (-7 - -8))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**2 + 1014*w + 3069 = 0 for w.\nAnswer: -3, 341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.044816 and -0.1.\nAnswer: 0.0044816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -1 + b + 3*b**2 + b + 2 - 7. Let h be k(-2). Suppose m = -g + 25, g + 25 = h*g + 3*m. What is the highest common divisor of 5 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m + 4*m + 12. Suppose -3*x - 10 = -m. Is x greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 16) to base 8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25 - 22) + -1 + (-4 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*b + 180 = -468 - 912 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -812*i + 1953*i - 860*i - 774*i as u + s*i and give s.\nAnswer: -493","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (480\/360)\/(5060\/414*(-6)\/(-10)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18.70618 + 18.7. Let f = p + -2.63482. Let w = f - -2.54. What is w rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38.994 - -1987.806. What is b rounded to the nearest 10?\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88855 by -11.\nAnswer: 88855\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 12, 0, 3, -1 in descending order.\nAnswer: 12, 3, 0, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 2 + -7 + 2 + 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 2*a - 12 + 19)*(3 - 2 - 3)*(8 - 2 + 2).\nAnswer: 16*a - 112","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/837 at least 375?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 270 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97694 is divided by 331.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 172\/(-516) + (-71)\/3 + 1. Let z(r) = r**2 + 24*r + 9. What is z(v)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 164 and 22222.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 127, 262, 475, 760, 1111, 1522?\nAnswer: 1987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1.64601*128\nAnswer: -210.68928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (-16 + 8 - -4) + -12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 2 + (-12)\/(-4). Let f be 152\/(-7) - p\/14. Let q = -7 - f. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-39)\/15 + (-4)\/10. Let z be ((-4)\/6)\/(j\/(-18)). Let r = 2 - 2. Sort -3, r, z.\nAnswer: z, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19.4 + 19. Let h = 1 - 3. Let p be h*(-2)\/(-28)*1. Sort p, l, 3 in descending order.\nAnswer: 3, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26764*-0.7\nAnswer: 18734.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1966964?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27.934 - -0.134. Let i = t - 4.2. Let x = i - -31.99983. What is x rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00012986302 to six dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/5)\/b**(-5) assuming b is positive.\nAnswer: b**(27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-2) - 14\/5. Suppose k - 23 = -4*g, -3*g - 3*k = -8*k. Suppose -2*q - 5*s - 1 = -5*q, 4*q + 2 = g*s. What is the third biggest value in q, -5, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-765)*17*(-405)\/5.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 542030.\nAnswer: 2, 5, 67, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -162 divided by -7784784\nAnswer: 9\/432488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 4*f + 29, -2*f = -2*a + f + 7. Suppose -19 = n - 3*o, -o - 2*o = -3*n - 27. Let g be 2*(4\/n + 2). Put a, -3, g in descending order.\nAnswer: a, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76395 divided by -15279.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72322956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wzizyiwwnyimwwzyiz. What is prob of picking 1 z and 1 w?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**4 + 14759*b**3 + 132904*b**2 + 118144*b = 0. What is b?\nAnswer: -8, -1, 0, 14768","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1364 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 6.8. Let n = z + -0.800004. Round n to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48299, 96387, 144475?\nAnswer: 192563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.4, -5\/3, -3 in descending order.\nAnswer: 5, 0.4, -5\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1 + sqrt(1300)*-2 - (sqrt(1300) + 2 + -2)))**2*-2.\nAnswer: -585050 + 3000*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.1, -12217, -5\/3, -0.2, 4, 2\/75?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.532888 - 2111327.532888. Let w = 2111477.0187 + n. Let d = -150 + w. What is d rounded to 3 decimal places?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 1, -1982 in decreasing order.\nAnswer: 1, -25, -1982","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-1820)\/(-384)) + (230\/26 - (1 + 8)).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 488 divide 1826584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9215192 divided by -2212.\nAnswer: 4166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 1 + -15 + 18?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -4, 0.4, -1\/10 in ascending order.\nAnswer: -4, -1\/10, 0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 39*f**2 - 10 - 653*f + 18.\nAnswer: 39*f**2 - 653*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3213.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i - 11. Let t = 11 + -18. Let z be f(t). Solve 5*v + z*a = -0*a - 27, -v = -a - 1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6065863 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 + 36. Let u be 9\/j + -2 + 4. Let w be -1 + (-11)\/(-2)*2. Solve 3*d + c = u*c + 4, 3*c = -d + w for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2cdb8 (base 14) to base 4.\nAnswer: 123131112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/9, 1\/32, -265, -90 in ascending order.\nAnswer: -265, -90, 0, 1\/32, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/667 - 34025\/2668. Suppose -5*v = -0*o + o + 63, -2*v = -5*o + 36. Which is greater: v or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from cqcqccqqqq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6741586766?\nAnswer: 2, 67, 1607, 31307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 113403 or 113399?\nAnswer: 113403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 - 41 = 4*r. Is (-14)\/(-28) + r\/2 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.132 - -1.128. Let f = -1.66 + l. Which is the third biggest value? (a) 0.07 (b) f (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -4*m - 4*y, 2 = m - 3*y - 7. Let x be -7*((-220)\/(-35) + -6). Put 2, -1, m, x in descending order.\nAnswer: 2, -1, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 72. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -218a?\nAnswer: -2189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 726, 24, -155 in increasing order.\nAnswer: -155, 24, 726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -43, -62, -81?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 + -112. Let t = q - -88. Sort -2, t, -43 in decreasing order.\nAnswer: t, -2, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -157 + 263. Calculate the remainder when t is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*g*j**3 - 40273*g*j + 13747*j**3 + j**2 wrt j.\nAnswer: 30*g + 82482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 9:47 AM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f - 3. Let b be z(-5). Let k be (1 - 1) + (4 - 1). Put k, b, -1 in ascending order.\nAnswer: -1, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/(-6) - 0)\/10. Let u = -168.91 - -166. Let g = u + -0.09. Sort g, n, 3 in descending order.\nAnswer: 3, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 + 2*i - 1. Is u(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -559 * -1560\nAnswer: 872040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w + 0 + 0 - w + 4*w - w + (3*w + 2*w - 4*w)*(-1 + 1 + 2) + 5*w - 3*w - w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 3*h - 114 = 0, 5*m + 48 = 2*m + 5*h. Let d = 24 + m. Let o = 151\/44 + -13\/4. Which is the nearest to 1.3? (a) d (b) o (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 695.\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2148\/5 - 435. Let l = -34 + 164. What is the common denominator of t and ((-16)\/10)\/(36\/l)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 471*o + 550*o - 7574 - 102655 = -246*o for o.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 12:33 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.409271 - -3714.\nAnswer: 3710.590729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1483965 and 1261875?\nAnswer: 185495625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 7353629?\nAnswer: 7\/7353629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 5*b**2 + 4*b - 4. Let l be m(4). Let n = 4 + l. Solve n + 6 = -3*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 2*p - p + 9, -1 = x - 3*p. Solve 5*u + 18 = 3*v, 0 = -0*v + v + x*u + 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 i when two letters picked without replacement from {m: 3, i: 9, v: 5, s: 2}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*l - 124 + 110 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.3654766 to 3 dps.\nAnswer: -2.365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -197.2 - -199.2. Let f = 0.34 + -0.04. What is the closest to r in f, 0.5, 1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -7 (b) 2\/25 (c) -686\/5 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 237, -157, -4, -2, -44, -14 in ascending order.\nAnswer: -157, -44, -14, -4, -2, 237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 3:03 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220880761.\nAnswer: 79, 109, 113, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 4*w - 3 - 17, -w + 1 = 0. Suppose 5*o - 86 = b*o. Does 10 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249*i**3 - 86*i**3 + 118*i**3.\nAnswer: 281*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -33725 from -1.5448928.\nAnswer: 33723.4551072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13\/3? (a) -4 (b) 1 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78130672?\nAnswer: 2, 71, 68777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q + 5*r - 12, 0 = 4*q - r - 54 + 52 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 304 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 185 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 81 = 1. Suppose 0 = -g + 6*g + h. Let a be -2*1*(3 + g). Solve -a*y = 4 - 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f. Let i be x(-4). Suppose 2*d + 3*d - 170 = -j, -3*j = i*d - 136. What are the prime factors of d?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -10\/2033 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55846*x**6 + 37*x**2 - 4*x + 28.\nAnswer: -6701520*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -165109, -660323, -1485679, -2641177, -4126817, -5942599?\n\"Answer: -165071*m**2 - m - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1080 divided by 6?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 0*k**3 - 183*k**2 - k**3 + 6*k - 15 + 180*k**2 + 12. What is s(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -219 + 126. Let k = 15 - v. Suppose -28 + k = 4*q. Calculate the remainder when 78 is divided by q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*s**2 + 3 - 5*s**2 - 1 with respect to s.\nAnswer: -10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.2, -1.2, 11577 in ascending order.\nAnswer: -1.2, 0, 0.2, 11577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 12. Suppose -3*t + 2 = -p*t. Put 6, -1, t in increasing order.\nAnswer: -1, t, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339912 is divided by 13061?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.03 + 0.07. Suppose 4 = 3*d - 0*b - b, 2*d - 4*b - 16 = 0. Which is bigger: d or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2758, 2603, 2350, 1999, 1550, 1003, 358?\nAnswer: -385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 - 2*r**2 + 5*r**2)*(-2*r - 1 + 1) - 1261*r**2 - 352*r**3 + 1261*r**2 + (3*r - 3*r - r**2)*(4*r - 3*r - 4*r).\nAnswer: -355*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4*b - 8 = 0, -2*d - 2 + 10 = 2*b. Suppose -d*l - 8 = -5*l, 0 = -k + 5*l - 19. Is 6\/13 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1576 - 1673*i + 833*i + 1576 + 840*i - 9*i**2.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147026526?\nAnswer: 2, 3, 73, 103, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*p - 5541 + 5463 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 341 divide 184140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -244 - 46. Let b be (h\/(-20))\/((-1)\/(-6)). What is the highest common divisor of 6 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2036*o + 1464 = -1853*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -4*(-3)\/(-6)*-22 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 20*h**2 + h + 22. What is the least common multiple of t(-20) and 37?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 141*q - 451*q**2 - 340*q**2 + 794*q**2 in the form j*q + p + b*q**2 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97055?\nAnswer: 5, 7, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -15*n**3 - 95*n**2 - 175*n - 80. Suppose -38*y - 18 = -44*y. Let j(k) = -8*k**3 - 47*k**2 - 88*k - 40. Let b(f) = y*m(f) - 5*j(f). Factor b(l).\nAnswer: -5*(l + 1)**2*(l + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3186*z - 3165*z - 84. Let 0*i**2 - 4*i**3 + 16\/3*i + 0 - 4\/3*i**z = 0. What is i?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 5:59 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/(-10))\/(4\/490). Let d be (-98)\/(-343)*t\/(-30). Factor -d + 2\/15*m**2 + 4\/5*m.\nAnswer: 2*(m - 1)*(m + 7)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -6*t + 5. Let h be n(1). Let o = 1 - h. Solve -5*a**3 + 5*a**3 - 5*a**o + 5*a**3 = 0 for a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 19.909. What is r rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*w = -88, -44 = -2*f - w - 2*w. Let i = f + -12. Suppose 2*d - 6*d = -112. Calculate the remainder when d is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -40 + -14?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -50 - -10?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/9 and ((-2225)\/(-1000))\/(52\/(-16)).\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 5*a - 106. Solve -6 = -2*y + 2*v, -2*v + v = 3*y - a for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 97 by 18311.\nAnswer: 97\/18311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2647, -6058, -9469?\n\"Answer: -3411*a + 764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*(-3)\/(-96))\/(-1)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 141*c*d*p**3 - c*d*p**2 + 21*c*d + 202*c*p**3 + 2*c*p**2 - c*p + 325*d*p**3 + 271*d*p - d - 23 wrt p?\nAnswer: 846*c*d + 1212*c + 1950*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1589087609 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (-8 + 34 + -15).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34130?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37\/((-740)\/20)*2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15290 + 15290. Solve j = 123*q - 145*q - 176 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 4*l**3 - 1800*l**2 - 12796*l = 0?\nAnswer: -7, 0, 457","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2010855 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**3 + 380*y + 42*y**4 - 380*y + (-1 + 1 - y)*(y**3 + y**2 - y**2) - y**4 + 3*y**4 - 4*y**4.\nAnswer: 39*y**4 - 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y - 6. Let n be a(-4). Let j(b) = 0*b - 2*b - 4*b**n - 6*b**2 + 1 + 0*b**2. What is j(1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 1474?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 133095260 to the nearest integer?\nAnswer: 11537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d - 3*d**3 + 2*d**2 - d**2 + 4*d**3 - 3*d to j + b*d + r*d**3 + g*d**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 164161621?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-58)\/(-3770)*(-1890)\/54.\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t**2 + t + 3. Let a be j(-3). Is a + (-1 - -1)\/(-1) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 177c + 7b?\nAnswer: 182a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 9233 * 0.03\nAnswer: 276.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 132052 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99725.95 centuries to months.\nAnswer: 119671140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 2*f + 104 = 119, -f - 25 = 5*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.5 and 1?\nAnswer: -5.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12330330133011 + 2?\nAnswer: -12330330133003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*r**4 + 12*r - 66*r**4 - r**4 - 2*r**3 - 11*r in the form w + f*r**3 + c*r + g*r**2 + a*r**4 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*q**2 - 17*q**3 - 5*q**2 + 3*q**2 - 3*q**2 wrt q.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -8*k**4 + 20*k**2 - 40*k - 35. Let l(q) = q**4 - q**3 - 2*q**2 + 4*q + 1. Let p(u) = 30*l(u) + 3*r(u). What is the derivative of p(j) wrt j?\nAnswer: 24*j**3 - 90*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 16*p - 3 = -21*p, 5*v = -4*p - 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22860.6 rounded to the nearest 100?\nAnswer: 22900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 q, and 1 h when four letters picked without replacement from kzzzqzdqdqhz.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -7*d**4\/6 - d + 1134. Let t(l) = -l**2 - 215. Determine t(i(n)).\nAnswer: -196*n**4 - 215","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0)**(2\/103)\/(((o\/((o**6\/o)\/o))\/o)\/(o*(o*o\/(((o*o**6)\/o)\/o)*o)\/o*o)) assuming o is positive.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, -83, -287, 1.\nAnswer: -287, -83, -62, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.1 (b) 0.4 (c) -191 (d) 0.1 (e) -1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 845068737.\nAnswer: 3, 23, 449, 27277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 30, 0, -3, -1, -37 in ascending order.\nAnswer: -37, -3, -1, 0, 1, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.02 (b) -0.31 (c) -14\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -92 + 71. Let k = n + 21. Suppose 5*u + 3*r = -r - 15, k = 3*r - 15. Let g(a) = -a**3 - 8*a**2 - 8*a - 3. Give g(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/4*(-9 + 5). Let m = 4.88 - -14.82. Let k = -20 + m. Which is the closest to h? (a) 4 (b) -1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -28? (a) -0.24 (b) 2 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 122, 25611 in increasing order.\nAnswer: 4, 122, 25611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 31*c - 211. Let m be v(6). Let b = -1 + -3. Let f be 1\/b + 1455\/12. Calculate the highest common divisor of f and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 4055 + 1306. Calculate the smallest common multiple of 4 and i.\nAnswer: 7148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 + -17 - (1 - -3 - (17 - 12))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 7*z**2 - 4*z**2 - 5*z**2. Let u(g) = 0*g**2 + 4*g**2 + 5*g**2 - 6*g**2. Determine d(u(y)).\nAnswer: -18*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3340*w + 11846 + 28234 = 0 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -243\/4 + 127\/2. What is the common denominator of (-86)\/24*(-28)\/(-21) - 0 and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 130 - 85. Let u(x) = -2*x - 17. Let s be u(-13). Calculate the greatest common divisor of s and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -9 (b) 2 (c) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -4*b, 3*b + 41 = -2*y + 16 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 14*c + 115. Let y be b(-8). Suppose y*r - z - 392 = 0, 2*r - 4*z + 135 = 3*r. Which is smaller: r or 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -540 and -523 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j - 2*j + 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/2 - 5) + -1. Suppose 0 = -5*f - 5*m + 15, 2*m = 5*f - m + 9. Suppose f = -3*c - 23 + 5. Which is bigger: b or c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10918843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**(-3\/8)))\/(((p\/(p*p*p**(3\/14)\/p)*p)\/p)\/p) assuming p is positive.\nAnswer: p**(47\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208)*2 + -2.\nAnswer: -2 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + u**2 - u + 8. Let g be y(0). Solve 0 = -3*w - 2*p - 4, 0 = 2*p - g for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 26 = 6. Suppose -o*a + 52 = -4*g, -a - 4*a - 3*g + 66 = 0. Calculate the remainder when 47 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from lllllwllllllw.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + s**2 - 2)*((1 + 0 + 1)*(2*s - 2*s + 4*s) + 4*s + 2*s - 3*s).\nAnswer: 11*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i - 8*i = c + 18, -c = 3*i - 12 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-1 + 3 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 10) to base 9\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2016, 4536, 7056?\nAnswer: 9576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 12624?\nAnswer: 12621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddd when four letters picked without replacement from dddddydddddd?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -4*y**5 - 5100*y**4 - 40604*y**3 - 75988*y**2 + 40608*y + 81088 = 0?\nAnswer: -1267, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5258 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/3))**14)**(-5\/8)*(q\/q**(-2\/3))**(-3\/7)*q**(-2\/11)*q\/(q**(-2\/3)*q*q*q) assuming q is positive.\nAnswer: q**(-3725\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 28 = 4*t + 7, -4*q - 2*t = -10. Solve 4*f - 24 = -3*u, 2*f + 13 + 1 = q*u for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of a**7\/840 - a**6\/45 - a**5\/30 - a**4\/12 - 15*a**3 + 127*a**2. Let r(p) be the first derivative of d(p). What is r(8)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 2228 + 584. List the prime factors of q.\nAnswer: 2, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -109*v - 17. Let y(g) = 5*g - 4. Determine w(y(x)).\nAnswer: -545*x + 419","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -5*c + 1072 - 59, 1010 = 5*c - 5*i. Calculate the greatest common factor of c and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -217 - -245.9. Let c = t - 29. What is the nearest to 0.1 in -0.5, -1\/7, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -25472, 3 in increasing order.\nAnswer: -25472, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 4, 380 in descending order.\nAnswer: 380, 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15 + (-22)\/(-110)*-5. Solve n*c - 51*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 13*y + 59200. Round y to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/((3 + 4 + -3)\/(-2)). Solve 2*v + r - 3*r + 2 = t, 6 = -5*v + 4*r for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**2 + v. Let t be i(1). Suppose 0 = -3*q - 7*a + 2*a + 20, a = -3*q + t. Suppose q = g + 2*g + 3*u - 111, 0 = -3*u - 12. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/(1*(-1 - 1)). Let b = j - 7. Suppose -5*d + 136 = 3*u - 10*d, -4*u = -b*d - 163. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = z + 1617. Is 21 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1953, 2417, 9697, 19881, 32963?\nAnswer: 48937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 512246234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 989300 and 1137695?\nAnswer: 22753900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(168))\/sqrt(7))\/(1*sqrt(288)) + -4.\nAnswer: -4 + sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251188?\nAnswer: 2, 7, 8971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6601752*t**3 - 123*t - 2883?\nAnswer: 39610512*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*((d**(-14)\/d)\/d)\/d*d\/(d*d*d**14)*(d*d**(3\/4))**(-22\/9))**41 assuming d is positive.\nAnswer: d**(-26035\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 + 5 + 3)*(4*l - 5*l - l) + l - l + l + 4 + 2*l - 4 - 3 + 3 + l + 5*l + 8*l - 5*l)*(-3 + 1 - 4) as y + m*l and give m.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -63aa42 - 0?\nAnswer: -63aa42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 4*w - 608, 0*o + 3*w + 760 = 5*o. Suppose 0 = 5*a - 9*a + o. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, t: 1, p: 6, c: 4, l: 3}. What is prob of picking 1 p, 1 l, and 1 t?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -141366 by 32.\nAnswer: -70683\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 236*q**2 - 4*q + 10. Let c(n) = -355*n**2 + 6*n - 16. Give -5*c(m) - 8*v(m).\nAnswer: -113*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - p + 3. Let f(s) = 32*s**3 - 3*s + 12. Calculate 3*b(l) - f(l).\nAnswer: -35*l**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 4*t - 5*t. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 - 145647*x**2 + 1456545*x - 3641425.\nAnswer: -(x - 5)**2*(x + 145657)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5119 + -2242. Is x a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o**3 - 2*o**2 - 2*o - 1. Let k be d(-1). Suppose -k*v + 12 = -4*z, 0*v + 3*z = 4*v - 19. Which is bigger: v or 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-28)*30\/45?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61658*1805.\nAnswer: -111292690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -125 + 3256. List the prime factors of f.\nAnswer: 31, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 2:18 AM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3*(-1 + sqrt(112)) + -3)**2.\nAnswer: 48*sqrt(7) + 1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1150863 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25838803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 658*w**3 + 1991*w**3 + 129*w**3 - 10*w**3.\nAnswer: 2768*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = k - 4*b, 3*k + 3*b - 46 = 2*k. Suppose -5*p + 8 + k = 0. Calculate the lowest common multiple of 9 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1188403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 975 and 861510?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -67*l + 1. Let s(k) = -882*k**2. Give q(s(r)).\nAnswer: 59094*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -13790768 less than -3?\nAnswer: 13790765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 182 and 2639?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -26*p + 31*p - 30, j - 14 = -5*p for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -286, -488, -700, -922, -1154?\nAnswer: -1396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 2. Suppose -4*r + 4*w + 8 = 0, -t*w - 4 = 4*r - 3. Sort -1, r, 6 in descending order.\nAnswer: 6, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -80 + 83. Suppose -2 - 4 = r*x. Let b(i) = -i - 3. Let a(n) = n + 4. Calculate x*a(t) - 3*b(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b. Let o(d) = 3*d. Let g(q) = 4*o(q) + 3*v(q). Let y be 4 + (3 - -1)\/(-2). What is g(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-4)\/3)*(-2)\/24.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26480699 is divided by 2218.\nAnswer: 2215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -104105381?\nAnswer: -5\/104105381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35001*t**5 - 26094*t**2 wrt t?\nAnswer: -2100060*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -4*s**2 + 59*s - 1908. Calculate j(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.845881 to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 3*(-42)\/9. What is the common denominator of (219\/g)\/(48\/10) and (-81)\/16*(-11)\/(22\/(-8))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*w + 87*w + 9 = 0. Is ((-5)\/(-2) + 6 + w)*-1754 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1230*z - 1335*z = -420 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*w**3 + 9*w**2 + 8*w**2 - 2*w**2 - 49*w**3 - 14*w**2.\nAnswer: -85*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 78\/24 - (14\/(-8) - -1). Suppose 74*t - 240 = 14*t. Solve -4*a - 37 = a + c*w, w - 17 = t*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1677180 divided by -60?\nAnswer: -27953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17088*d**2 - 11734*d.\nAnswer: 34176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(330)*1*-1)\/sqrt(10))\/((sqrt(33) + sqrt(297))\/sqrt(11)*1).\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 8. Is (0 + c\/(-2))*33 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -174776 minus -0.11207349?\nAnswer: -174775.88792651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20032 = 1302*m - 185 + 985 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 51*l - 20710. Determine y(406).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 29*k + 32. Let o be v(-30). Let a(g) = 44*g - 52. What are the prime factors of a(o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -58\/25*o - 2\/25*o**2 + 192\/25 = 0.\nAnswer: -32, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 + 0 + (10 - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 91268.63 tonnes in micrograms?\nAnswer: 91268630000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2988*m + 54*m**2 + 2988*m)*(-4*m - 4*m + 4*m)*(0*m + 2*m - m) as n*m**3 + v*m + u + h*m**2 + o*m**4 and give o.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*b + 151*b**2 + 306*b**2 + 123*b.\nAnswer: 457*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by 1035189\nAnswer: 19\/1035189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -466652893014 - 0.39.\nAnswer: -466652893014.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 27048?\nAnswer: -1\/9016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2 - 12 = -a, 2*q + a = 15. Suppose q*d - 227 = 338. Suppose k + 2*k = 2*w - d, -279 = -5*w + 4*k. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 0.8, 1\/146, -0.3 in descending order.\nAnswer: 0.8, 3\/7, 1\/146, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/2*(50 + 11). Suppose c = 3*o + 5, -4*o = 5*c - d - 59. Suppose 4*w = y + 4 + 14, 2*w = -5*y + c. Solve 0*n + 3*n = y*i, 2 = -n for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*h**2 + 82*h**2 - 31*h**2 + 720 - 50*h - 28*h**2.\nAnswer: -5*(h - 8)*(h + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 4*y = -7*c + 12, 6*c + 4*y = -511 + 527 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8764253 + 0.57.\nAnswer: -8764252.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -8*k - 5. Let c be t(-5). What is the greatest common factor of c and 280?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 223086719*j**2 + 89849945*j?\nAnswer: 446173438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 105 + -59. Let t = 24 - 14. Let c = t - -6. What is the remainder when p is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.1 - 3. Let x = -18 + 21. What is the third biggest value in m, 2\/5, x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4.747, -4 in descending order.\nAnswer: 3, -4, -4.747","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*-38*(-3)\/(-2). Is (-1)\/2*4 - b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - -19. Suppose -4*a + 0*p + k = -p, 4*p = -a - 7. Let l(x) = -x**2 + 5*x. Let q be l(5). Solve 5*v = -a*i - 15, -v + i = -q + 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 527.000935 - 527. Round b to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4504 + 4536 = -4*q, 0 = -3*q - 4*m - 35. Suppose -1\/4*r**q + 0*r + 1\/2*r**2 + 0 = 0. What is r?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30057 is divided by 326?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w**3 - 104*w**2 - 22 + 6*w + 74 - w**3 + 4*w**5 + 52*w**4 - 2*w = 0. What is w?\nAnswer: -13, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 + 0)*(450 - 450 - 45*l**5).\nAnswer: 90*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 10:09 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -3. Calculate the remainder when 35 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 354 - 506. Let p = a - -151.9. Let q = 2 - 2.5. Put q, 0.5, p in descending order.\nAnswer: 0.5, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.02395 to 1 dp.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*h - 3*c + 180, 4*c = -43646*h + 43648*h + 216 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 13. Suppose 3*n + 3 = j. Is 2*-13*n\/(-2) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-175)\/14 + 9)*2. Are -129\/17 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5280, -5372, -5464, -5556?\n\"Answer: -92*y - 5188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301849 is divided by 121.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 216\/(-15) - (-23490)\/(-2025)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 892215*i + 893198*i.\nAnswer: 983*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -6*a**3 - 3*a**2 - 3*a - 4. Let b(l) = 3*l**3 - l**2 - 4. Let w(g) = -5*g**3 + 3*g**2 + g + 8. Let m(x) = 2*b(x) + w(x). Calculate -i(r) - 3*m(r).\nAnswer: 3*r**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/6)\/(13\/(-39))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 852?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 15 - (0 + 6 + -8).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56.5 - -400.5. Let d = -343.9999833 + v. What is d rounded to 6 dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 0*o**2 + 2*o - 1 + 0*o**3 + 1\/40*o**5 + 0*o**4. Let p(z) be the first derivative of t(z). Factor p(w).\nAnswer: w**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*z**3 + 7*z**3 - 20*z + 12*z**3 - 18*z - 29*z**3.\nAnswer: 2*z**3 - 38*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2440966*8.7\nAnswer: -21236404.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.224 + 0.27. Let p = g - 28.046. Let x = p + 33. Which is the biggest value? (a) -1\/4 (b) -1\/9 (c) x (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**5\/60 - z**4\/4 - 7*z**3\/6 + 42*z**2. Let b(j) = j**2 - 6*j - 7. Let a(l) = 5*b(l) - 6*v(l). Calculate a(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - -20) + (-6 - 1) + -46 + 53.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 763568.\nAnswer: 2, 13, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51937\/6573216 + 11\/1374. Is f >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a kilometer in meters?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 36614340.\nAnswer: 1\/36614340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -420, -398, -376, -354, -332?\n\"Answer: 22*m - 442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 364 + 0.43104.\nAnswer: 364.43104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -9*v**3 - 8*v**2 + 4*v + 4. Let p(z) = 18*z**3 + 16*z**2 - 9*z - 9. Let s(a) = -9*i(a) - 4*p(a). What is the third derivative of s(c) wrt c?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -75087*i. Let r(d) = 64*d + 1. Give u(r(n)).\nAnswer: -4805568*n - 75087","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 8421*n + 20. Is k(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1645409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20013101 - -110330?\nAnswer: -13302111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -622*n - 5110 - 5619 + 2643 = 0 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -673 - -5375\/8. What is the third biggest value in -0.1, 1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8067 + 8067 - 3*h - 34*h as u*h + g and give u.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/5 (b) -1\/2 (c) 3\/4 (d) 0.4 (e) -5 (f) 0.0273\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1213178571, 1213178573, 1213178575, 1213178577?\nAnswer: 1213178579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -179 - -181. Which is the closest to h? (a) -0.2 (b) 1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 + 3*z**2 - 4*z**2)*(-4 + 4 - z**2 + 22*z**2 + 25*z**2 - 3*z**2 + (7*z**2 - 3*z**2 - 2*z**2)*(-6 + 2 + 2) - 1 + 1 + 2*z**2).\nAnswer: -41*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 3*t)*(4*t**2 - 2*t**2 - t**2)*(-2*t**2 - 4*t**2 + 5*t**2).\nAnswer: -3*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3207\/9736?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50 + 65. Suppose 0 = r - 3*m - s, -r - 2*m + 4*m + 12 = 0. What is the remainder when 33 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 59639400 to the nearest one hundred thousand.\nAnswer: 59600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 374751406 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4690 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d - 162 = 41*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 228409733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4.1 times 184206\nAnswer: -755244.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 - 13 = 5*t. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**3 + 2*d + 2. What is c(3)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 8 = 13*n. Suppose -k - 2 = -3*k. Which is smaller: k or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26660 or 172?\nAnswer: 172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**2 + 6*b + 22. Calculate the remainder when w(18) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(567) + -3.\nAnswer: -3 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2012975 divided by 2012975\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5871871 + 8324016. Let z = -2451988.0083 + f. Let y = z - 157. Round y to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 339 + -338.6. Let m be 2\/(-5) + (-16)\/10. Which is the third smallest value? (a) m (b) i (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**4\/2 + 251*p**3\/2 - 9830*p**2 + 19154*p = 0. Calculate p.\nAnswer: -314, 0, 2, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1699*u + 26*u**2 - 1699*u.\nAnswer: 26*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -41d6a0 (base 16) in base 6?\nAnswer: -232251504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1791 and 2388.\nAnswer: 7164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 p when four letters picked without replacement from {i: 7, p: 5, t: 3, w: 1, v: 2}?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1952.445 - -1959. Let v = -0.145 + 0.09. Let u = s + v. What is u rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -9*i - 2. Let w(p) = -7*p - 1. Let o(x) = -4*f(x) + 5*w(x). Let k be o(-1). Solve 0 = 4*a - k*a - 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.3, -1.2, -2\/5.\nAnswer: -1.2, -2\/5, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 17962068 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 + 31. Let n = 15 - p. Suppose -n*w + h + 45 = 0, 64 = -3*w + 8*w + 2*h. Calculate the greatest common factor of 56 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 8*j - 3*j. Let q be j\/(5\/40*2). Suppose -3*w = -5*g - w + q, 0 = -g - 5*w - 10. Which is bigger: g or 1\/25?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15621236?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 497 + -528 - (2 - (-1 - -107))\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 5*u**4 + 1890*u**3 - 18054360*u**2 - 22537833120*u - 7562490480000 = 0.\nAnswer: -876, 2250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -8*9\/252 - (-104)\/(-28). Put 0.2, -36\/13, m in decreasing order.\nAnswer: 0.2, -36\/13, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 1\/7*f**3 - 1\/7*f + 2\/7*f**2 - 2\/7 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6684*w**3 - 13381*w**3 + 6691*w**3.\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(12) - 1*sqrt(12)))\/(3*sqrt(216) + sqrt(216) + sqrt(216) - sqrt(216)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 756 - 746. Let i(y) be the second derivative of 1\/24*y**4 - 1\/2*y**3 + 0 + 1\/20*y**5 - 9\/8*y**2 - 1\/120*y**6 - k*y. Solve i(p) = 0 for p.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 40*p**2 - 24*p - 2. Is d(41) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 20. Suppose u = k + k. What is the lowest common multiple of 11 and k?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of m**4 + 597*m**2*n - 3*m - 48450*n wrt m.\nAnswer: 4*m**3 + 1194*m*n - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343295125?\nAnswer: 5, 23, 97, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6929\/444 + -16\/111. Find the common denominator of u and 15\/26.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 3*n**2 - 2*n**2. Let k(b) be the second derivative of 5*b**3\/6 - b. Calculate k(g(h)).\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2748032678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -62726.8931 to the nearest one hundred.\nAnswer: -62700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 6*c**2 - 4*c - 1. Let n be z(5). Let j be 39\/n*(-16)\/(-6). Calculate the highest common divisor of j and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-4) - ((-287)\/(-28) + -3). Let b(d) = 7*d + 43. Determine b(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 24. Determine g(14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 8*h**2 + 63*h**2 - 44*h - 40*h + 84*h. Let m(l) = -2*l**2. Calculate a(m(q)).\nAnswer: 284*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 4. What is the remainder when 40*-3*(-4)\/d is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2721433.\nAnswer: 11, 13, 19031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5101484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 1:12 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10145 is divided by 47?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 151580 divided by -2915.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in six fifths of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-6 - 1) + (-5 - 14).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/2*(-24)\/54. Sort -1\/3, n, -0.1 in descending order.\nAnswer: n, -0.1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1304.1 - 1516.67. Round q to the nearest ten.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13520, -27299, -41074, -54845, -68612, -82375?\nAnswer: -96134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 185819*s**5 + 2*s**2 - 7085*s + 64.\nAnswer: 11149140*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 9 = 7 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7653104?\nAnswer: 2, 47, 10177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 131 - 66. Let t(u) = -u**3 - 3*u**2 + 6*u - 16. Let w be t(-5). Suppose -w*p + 115 - 63 = 0. What is the highest common divisor of p and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -46460*c - 180. Let v be g(-1). Round v to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.6 - -1.5. What is the biggest value in n, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -98 + (51 - 6) - (-14 - -14 - (1 + -3)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) - -3*sqrt(132)*-1)\/((-2*sqrt(120) - sqrt(120))\/sqrt(10)).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6569107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6728 + 0.5728. Sort -89, 2, -1\/4, d.\nAnswer: -89, -1\/4, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -7*l + 297. Calculate h(46).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 505187373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 874 divided by -19?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 10 = 30. Let s = x - -52. Calculate the remainder when s is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 401*c - 282*c + 1428 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t - 4. Let b be z(-4). Let h = 2 - b. Let p(u) = -u**2 + 8*u + 12. Let f be p(9). Solve f*v + h = 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.066 + 0.034. Let p be (-195)\/182 + 8\/112. What is the biggest value in p, r, -8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 11*g. Suppose -169*h + 175*h - 1446 = 0. Let c(r) = -241 + h - 11*r - 13*r. What is d(c(m))?\nAnswer: -264*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 8*b**2 - 59*b + 87. Determine u(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/42*4)\/((-3)\/(-6)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*v)*(-1 + 1 + 1) - 2*v + 7*v + 31*v - 4*v + 2*v + 3*v + (3 + 3 - 7)*(-4 - v + 4).\nAnswer: 40*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 17*d + 1. Suppose -2763 + 384 = -56*s + 309. What is the smallest common multiple of v(1) and s?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6)\/(49\/882).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 11. Suppose 17 = 3*x + 2. Suppose -3*o + o + 5*i + 27 = 0, -x*o - 5*i + 120 = h. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1487009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5*p**2 + 13*p + 13. Let u(h) = 4*h**2 - 12*h - 12. Let m(q) = 5*l(q) + 6*u(q). Give m(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22 + 11103?\nAnswer: 11130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 = 21*x - 35 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 401 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18.7557 - -0.2443. Put h, -0.1, 5, -5 in descending order.\nAnswer: h, 5, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3014*m**3*q**3 + 2*m**3*q**2 - 2969*m**3*q + 2*m**2*q**3 - 9*m**2*q**2 wrt q?\nAnswer: 18084*m**3 + 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 67*h**2 - 139*h + 657. What is d(65)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5. Let s(r) = 2. Let k(v) = 7*s(v) - 3*y(v). Let w(x) = x - 2. Give -6*k(t) + w(t).\nAnswer: t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.052*16.211.\nAnswer: 0.842972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 21 + 1 - -4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((6*(sqrt(192) + 1)**2*-1 + (4 + (sqrt(192)*1 - sqrt(192) - sqrt(192) - sqrt(192)))**2 + 2)*6 + 0).\nAnswer: 6696 + 4032*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 123*j + 2179. Let h be u(-17). Let s = 6 - 9. Let m = s + h. List the prime factors of m.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jijyymctijy. What is prob of picking 1 c and 2 j?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1325 and 18868?\nAnswer: 471700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xd when two letters picked without replacement from {v: 1, b: 8, d: 5, x: 2}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 2953 and 2953 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5158*b**2*y**3 + b**2 - 14*b*y**2 + 739*y**5 + 5802*y**2 wrt y?\nAnswer: -30948*b**2 + 44340*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 13 - (12 - 6) - (4 + 1). Suppose -p - 6 = -3*t, 19*p - 21*p = t - z. Solve 3\/2*l + 0*l**3 - 9\/4*l**t + 0 + 3\/4*l**4 = 0 for l.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (146 - 146 + 12*i)*(i + 0*i - 2*i)*(-5 - 4 + 1) in the form h*i + f + s*i**2 and give s.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((38\/(-19))\/(3 + 0))\/(8\/(-4)). Determine k, given that 0 - w*k**2 + k = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of 11*n**7\/35 + n**5\/30 - 12*n**3 + 2*n**2 + 66*n. Differentiate x(o) wrt o.\nAnswer: 264*o**3 + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 6*r**7\/7 + 81*r**5\/5 + 236*r**3 - 498. Find the third derivative of p(h) wrt h.\nAnswer: 720*h**3 + 1944*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*v + 2126 = 1964 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*-1 - (52\/(-4) + 1). Let v be (36\/(-45))\/(1\/(-1*d)). Let t(r) = 4*r**3 + 2*r**2 - 12*r + 1. Is t(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1445 + 2070. Suppose 3*f - 163 = r + 216, 5*r = -5*f + t. Is 16 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**2 + 15*d - 45. Let u(v) = -2*v**2 + 16*v - 46. Let f(l) = -4*s(l) + 5*u(l). Find z, given that f(z) = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 570\/247*78\/15\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -273 + 391. Suppose -6*i + 6826 = 2*i + 226. What is the remainder when i is divided by a?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20507*d - 1956 - 1970 + 3926 to the form n + p*d and give p.\nAnswer: -20507","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5\/93 - 1618\/465. Calculate the common denominator of -13\/204 and c.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2c53a (base 13) to base 7\nAnswer: 501002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3 + 5 = 0. Let b be -1 - f - (4 + -3). Suppose -4*n + 5*w + 41 = 0, b = n + w + 2*w + 11. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(2\/3)*q)**(13\/3)\/(q**(-1))**(1\/18))**(2\/13))**46 assuming q is positive.\nAnswer: q**(9614\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -20101 (base 4) in base 15?\nAnswer: -254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(190)*-3 - sqrt(190)*-2*1)\/(sqrt(1960)*-2*-6))**2*-5.\nAnswer: -11495\/28224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41\/123 + ((2 + (-42)\/15)*5 - -9).\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 105*y + 1998. Let k be o(-19). Put -0.5, 4, -29, k in decreasing order.\nAnswer: 4, k, -0.5, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (10 + 1) - 0) + 13 - 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 8:51 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 496437 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20065311 or -20065313?\nAnswer: -20065311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, t: 1, x: 2, b: 5, y: 2}. What is prob of sequence bx?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1649329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 110110 (base 2) in base 14?\nAnswer: 3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24225 (base 6) in base 2?\nAnswer: 110111011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.16 and -0.76?\nAnswer: 0.1216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 2)*(-22*i + 33 - 33)*(0*i**2 + 0*i**2 - 2*i**4) + 198*i**5 + 344*i**5 - 397*i**5.\nAnswer: 277*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 7 = -2. Suppose i*g - 25 = 2. Suppose -2*s + p + g - 2 = 0, -2*p + 4 = 5*s. What is the remainder when 7 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r. Let g(j) be the first derivative of j**6\/120 + 5*j**3\/3 - 1. Let d(t) be the third derivative of g(t). Calculate b(d(w)).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -8068749*w**2 - 19*w + 60. Let g be s(4). What is g rounded to the nearest one million?\nAnswer: -129000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -8*o**2 + 3*o - 2. Let u be n(2). Let v be u\/(-10) + 6\/30. Let m be (v\/(-9))\/((-41)\/3). Are 1\/3 and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 256 - 267 = 5*o, 0 = -4*o - 2*y + 12 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -46, -108, -222, -406, -678?\nAnswer: -1056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*d + d - 235 = 5*n, 8*d - d - d = 4*n + 2*d + 72 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*p + 1. Let l = 0.1 - 0.3. Let q = 0.2 + l. What is the biggest value in p, q, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 440?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4744 + -4746. Which is the closest to 20? (a) -1.7 (b) 5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/3)\/(2\/17). Calculate the greatest common divisor of 17 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 201.99515 - 202. Round y to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-13)*-13*580\/40.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lssxssxxxxsucs. What is prob of picking 1 x and 1 s?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r**3 + r**2. Let a = -24 - -26. Suppose 2*f + 0*f = -a. Let y be x(f). Solve y*g = 2*g - 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 + -695?\nAnswer: -68c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -7*o**2 - 97*o - 336. Determine l(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 11*s + 3. Determine b(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -3*r + 3*p + 13, -4*p + 20 = 4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 42.02 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*k**3 + 158*k**3 - 425*k**3.\nAnswer: -126*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3700677*m - 1093*m**3 + 3700677*m)*(3*m - m - 3*m) - m**3 + m**4 + m**3 as b + n*m**3 + o*m**2 + z*m**4 + q*m and give z.\nAnswer: 1094","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1147310 and 130510?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6429*w + 9 = -6427*w + 3*f, -3*w + 10 = f for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, q: 4}. Give prob of picking 2 l.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.8 + 0.2. Let v = 0.5 + 0. Let c = b + v. Sort -0.3, c, 0.4 in increasing order.\nAnswer: -0.3, c, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000646947 rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -8. Suppose 4*u - h*j + 3*j - 272 = 0, 5*j = 2*u - 136. Is u at most as big as 68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 0, 7*h - 3*v - 1504 = 3*h. Suppose 5*q + h = 376. Factor -5\/6*m**3 - 1\/6*m**4 + q*m + 0 - 2\/3*m**2.\nAnswer: -m**2*(m + 1)*(m + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -83*s - 3. Let t(v) = -83*v - 4. Give 2*t(c) - 3*y(c).\nAnswer: 83*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -32158*g**2*v + 134681339*g**2 + 76*g*v**2 + v**2 wrt v.\nAnswer: -32158*g**2 + 152*g*v + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3333765?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24248765.\nAnswer: 5, 4849753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 4*q = 12. Let n(z) = -3*z - 4. Let r be n(q). Solve 0 = 5*x - 4*i, -3*x - 49 + 12 = r*i for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = a + 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18 - -13)*2\/(-5). What are the prime factors of (-25)\/b*(10416\/(-40))\/7?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 5*x**2 - 456*x + 10666. Give s(53).\nAnswer: 543","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 10896606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 571 > 573?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.21*-4.45\nAnswer: -0.9345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 9:58 AM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54 - -66. Let d = 15 - i. Let t(b) = 10 - 9 + 4*b**d - 3*b**3 - 2*b**3. Determine t(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 97 - 62. Suppose 0 = 5*s + k - 30, -2*k + r = 4*s + k. Solve -s*d + 11 = -14 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*k + 10*k - 9*k)*(-k**2 - 7*k**2 - 9*k**2).\nAnswer: -187*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 82 and 11734282?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 62, 89, 116?\n\"Answer: 27*d + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -3, 9, 13, -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w - x - 1, -x - 3*x - 16 = 4*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/21 - 23\/3. Let w be (-1486)\/x - 16\/56. Suppose -8*g = -4*g - w. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 40380575849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 274 = -4*k - 2*z, -5*k + 693 = 3*z. Let l = k - 136. Suppose 2*p + 6 = 16. Solve -5*m = t - l*m - 17, 0 = -5*t + 5*m + p for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11172, 2, -68 in ascending order.\nAnswer: -11172, -68, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**2 - 8*d + 13. Let m be l(-8). Suppose m = 15*g - 181. What is the highest common divisor of 15 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 18. Let s(j) = -j - 3. Let g be s(d). Solve -7*n = -2*n, -3*n - 16 = g*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 464633577 minus -0.2?\nAnswer: 464633577.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2 (b) -1 (c) 4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-204)*(-8)\/6.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - 10\/(2 - -3). Let q(o) = o + 23. Determine q(a).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211 (base 10) to base 5.\nAnswer: -1321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzvs when four letters picked without replacement from {s: 6, z: 6, v: 3}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -188*f**4 - 1480*f**3 + 192*f**2.\nAnswer: -4*f**2*(f + 8)*(47*f - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -69 + -5a742c?\nAnswer: -5a7495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*o**2 + 166316*o + 36960.\nAnswer: -2*(o - 9240)*(9*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -137999164, -275998327, -413997490?\nAnswer: -551996653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**2 + v - 5. Let m be r(-5). Let c = 33 + m. Let a = c + 87. List the prime factors of a.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/7)*(b\/(b*b*b**(-2)*b*b))\/b)\/(b\/(b**(-5)\/b*b))**(1\/15) assuming b is positive.\nAnswer: b**(-79\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*z - 80 = 3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + j. Let z be (22 - -6)\/7 + -6. Let a(l) = -2*l**3 - 4*l**2 + 2*l - 3. Give z*h(y) + a(y).\nAnswer: -2*y**3 - 2*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 218835 + 795835 = 0. What is d rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 128*q**4 + 9*q**3 + 47*q**2 - 9*q + 118. Let d(p) = 64*p**4 + 5*p**3 + 26*p**2 - 5*p + 59. Let n(i) = -9*d(i) + 5*r(i). Differentiate n(t) wrt t.\nAnswer: 256*t**3 + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -0*g - 16, 0 = 2*v - 4*g - 16. Suppose -2*f = v, f = -6*i + 3*i + 333. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.4 + -4.3. Which is greater: l or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (m**4 + 4*m**4 - 6*m**4)*(-25 - 5 - 3) - 48*m**4 + 72*m**4 + 69*m**4 as d*m**3 + p + b*m**4 + v*m**2 + l*m and give b.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and -40.67563.\nAnswer: -36.67563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.5 (b) -2 (c) 0.17 (d) -3.61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*c - 75 = 100. Let n(y) = -32*y + 163. Let h be n(c). Sort h, 9, 6 in decreasing order.\nAnswer: 9, 6, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2414 divided by -1207.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*v**4 - 8247*v**2 + 2*v - 166905650 wrt v?\nAnswer: 24*v**3 - 16494*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 2*n - 15 = -2*n, 3*n = -3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 743 (base 12) to base 2.\nAnswer: 10000100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 40745909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 + 31. What is the smallest value in 4, -2\/9, -2, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0929506um in centimeters?\nAnswer: 0.00000929506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -b - 3. Let o(n) = -n - 5. Let s be o(5). List the prime factors of s\/6*(-90)\/b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -44\/21 (b) 1.3 (c) -17 (d) -0.1 (e) 4 (f) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of y**4 + 10672348*y**2 + 17*y + 168124296 wrt y?\nAnswer: 4*y**3 + 21344696*y + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*l + 16, 3*h = -2*l + 155. What is the remainder when h is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -231 - -155. Let v = u - -191. Suppose -5*c + v + 878 = 3*h, -h = c - 331. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6101378, 12202895, 18304410, 24405923, 30507434, 36608943, 42710450?\nAnswer: 48811955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 202*z + 1. Let y be a(2). Suppose -19*k = -22*k + y. Does 21 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (((-160)\/(-24))\/(-4))\/((-2)\/174)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - y - 21. Let q be f(5). Let i(w) = 6*w + 3. What is i(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*g + 9*g - 3*g + g.\nAnswer: 19*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.150697112 rounded to 5 decimal places?\nAnswer: -0.1507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x - 47. Let c be (21 - 5)\/(-4) - -18. Let j be -17 + c + (1 - 0) - -17. Calculate f(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 28\/(-70) + 44\/10. Is 2\/(-4) - 1\/(y\/(-574)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nngnggggnggnnn. What is prob of picking 2 g?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 319 and 4988?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 15. Suppose -12*g + 234 = 14*g. Let i = l + g. Solve -i*r = 6 + 10 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -8*u**2 - 685*u + 249. What is i(-86)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g = 7*g - 4557. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*z - 140*z = -77313286 - 87730106. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 7*b = 2*b - 13, 4*b - 4 = 0. Suppose 0 = -y + w + 7, -4*y - 3*w - 31 = -s*y. Let o(l) = l**2 - 2*l + 1. Let k be o(2). Sort y, k, -3.\nAnswer: -3, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1249 = 5*w - 0*w + 3*j, 4*j = 5*w - 1228. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/119 - ((-36)\/9 + 5)\/7.\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -95906994 divided by 205809\nAnswer: -466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dluuudluuuudlgdd. Give prob of picking 1 u and 1 g.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l + 4*l + 3*l)*(-l - 1 + 1 + (l + 2*l - 4*l)*(-1 - 1 + 3) - 11*l - 425 + 425).\nAnswer: -13*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166206 is divided by 52.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000154769 rounded to 6 decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 39721369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346 + 2678 = -189*f for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1635 + -4144041?\nAnswer: -4142103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2121.97 + -2122. Which is the nearest to l? (a) 0 (b) 4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(425) + ((6*(sqrt(17) - (sqrt(17) + -2)))**2 - sqrt(17)) + -4 + (1*sqrt(1700) - sqrt(1700))**2.\nAnswer: -16*sqrt(17) + 140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3846 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6235057 or 213?\nAnswer: 213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -31*(-17)\/(-3)*-3. Suppose 3*a - 49 - d = 0. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103304875?\nAnswer: 5, 487, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -1\/18*r**3 + 0*r**2 + 1\/36*r**4 + 0 + 2*r. Determine o, given that u(o) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 51648*h**4 + 2838*h**5 - 51648*h**4 + (4 - 4 + h**2)*(-2*h + 2*h + 2*h**3).\nAnswer: 2840*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -34\/3 + 1\/6*s**2 - 13\/6*s.\nAnswer: (s - 17)*(s + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 29*o - 297. Determine a(38).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -25835.\nAnswer: 77505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*m - 0 + 3, -2*j + 5*m = 5. Let p be 10\/25 - 2*219\/(-30). Let l = p + -17. Put -4, j, l in ascending order.\nAnswer: -4, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37826\/75 + 1514\/3. Let c(g) be the second derivative of 6*g - 7\/75*g**6 + q*g**5 + 0 + 0*g**3 - 2\/15*g**4 + 0*g**2. Factor c(z).\nAnswer: -2*z**2*(z - 2)*(7*z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -368.26 - -379.26. Let b = 461\/9 - 51. Put 1\/6, h, b, -0.5 in descending order.\nAnswer: h, b, 1\/6, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -33\/8, -5, 3\/4, -0.1, 4, 0.01?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/77*1*4.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*h - 13*h - 84170 = 0. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*v + 58 = -20. Let t(x) = 1 + 52*x - 67*x + x**2 + 9*x**v + 13*x. Calculate t(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -g**6\/15 - 2*g**5\/15 + g**4\/9 + 4*g**3\/9 + g**2\/3 - 6*g. Find h such that z(h) = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 8. Suppose -y*s - 17 + 65 = 0. Does 16 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 7 - 1. Suppose -n + t = 3 - 16, -3*t = -o. Which is the smallest value? (a) 1\/5 (b) -0.2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 930 and 1030?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 8. Suppose -7*o + 4*o + g = 0. Suppose 0 = u + o*j - 72, 4*u - 4*j = -0*j + 304. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**3*o**2 + 1641547*a**2*o**2 - a*o**2 + 2101915*a wrt a.\nAnswer: -6*a*o**2 + 3283094*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f - 1541 = 1126. Let n = -123 - f. Factor 4*g**n - 32\/5*g**3 + 0*g + 16\/5*g**2 - 4\/5*g**5 + 0.\nAnswer: -4*g**2*(g - 2)**2*(g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**3 - 3*u**3 - 12*u**3 + 7*u**2 - 10*u**2.\nAnswer: -12*u**3 - 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) + (sqrt(208) - (sqrt(208) + 0)))*2 + sqrt(208))**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-64*k - 148*k - 15*k)*(-3*k**2 + 3*k**2 - 3*k**2) as m*k**3 + o*k + u + a*k**2 and give m.\nAnswer: 681","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**4 + 362*j**3 + 182148*j**2 + 18208952*j + 558457168 = 0.\nAnswer: -86, 439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3\/46 + 81\/184. Which is the nearest to 0.1? (a) 4 (b) k (c) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*c = 35, -2*x + 2*c + 2 - 26 = 0. Let v = x - -11. Let b(u) = u**2 - u + 4. Let n be b(v). Solve w - 2*s + 17 = -n*w, 2*s - 2 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (132*14\/(-140))\/((-9)\/30).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 169764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y. Let l(b) be the second derivative of b + 0*b**2 - 3 - 11\/3*b**3. What is l(g(r))?\nAnswer: -44*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -4, -1189, 1984\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of h**3\/3 + 2*h**2 - 3*h - 1. Suppose -5*r = 2 + 18. Determine y(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -230 (base 6) to base 15\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 15. Let s be 80\/(-24) - o\/(-3). Let v be (2\/s)\/(25\/(-3)). Which is the smallest value? (a) 1\/3 (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -63*d - 288. Let k(a) = 8*a + 36. Let c be (0 - -8) + (1 - 0)*-4. Let t(f) = c*p(f) + 33*k(f). Differentiate t(v) wrt v.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 10*b. Let u(f) = -2*f + 21. Suppose 6*w = 1 + 59. Let y be u(w). Give m(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 + 71*c + 87. Let y(g) = g**2 + 47*g + 59. What is 5*d(w) - 7*y(w)?\nAnswer: 3*w**2 + 26*w + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -14, 0.5, 2\/3, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or -5357?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v. Let d(j) = -4*j**2 - 15*j - 16. Let r(k) = d(k) - z(k). What is m in r(m) = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 59?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 200977417?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -270*f**2 + 12984*f - 1152. Determine x(48).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 0 - d + 17 - 6. Let l(v) = 2*v**2 + 10*v - 4. Let s be l(-6). What is p(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 25\/68876?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -434400 divided by 149\nAnswer: -434400\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 23*j + 105. Calculate h(-18).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**3 - 9*n**2 + 6*n + 4. Let g be m(-7). Suppose -2*i = -4*h + i + g, -i = -4*h + 213. Is h a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 6*t - 5. Let n(d) = -3*d + 3. Let g(k) = -2*k + 2*k + k - 1. Let f(i) = 4*g(i) + n(i). Let y(r) = -2*r + 3. Let x be y(4). What is x*f(m) + v(m)?\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 times -10?\nAnswer: -5910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 533488649, 533488647, 533488645, 533488643, 533488641, 533488639?\nAnswer: 533488637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + s**2 + s + 8. Let a be x(0). Suppose a*i - 38 = 2. Solve -i*o - 10 = -0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (60 + -31 - 11).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29804976 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*3*(-2*sqrt(78) - sqrt(78)))\/((sqrt(6) - (sqrt(24) + sqrt(96)\/sqrt(4))\/sqrt(4))*5).\nAnswer: -36*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9451913389 - 901.2.\nAnswer: 9451912487.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45638 and 6.\nAnswer: 136914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51 + 51 - 4*c)*(-2*c - 4*c + 0*c)*(-176 + 0*c - c + 161).\nAnswer: -24*c**3 - 360*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*-3*3\/(-27). Let k be -4 - (-9 - c)*2. Suppose u + 5*b - k = 0, 6*u - 3*b - 62 = u. Solve -2*o + u = -2*i - 3, 0 = -3*i - 5*o + 16 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -237564 > -239223?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*y + 46*y - 33*y + 0*y + 4*y - 3*y + (-3*y + 3*y + y)*(-2 + 4 - 1) + 32*y + 13*y + 4*y as j*y + w and give j.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-28)*b)\/b**(-5\/8) assuming b is positive.\nAnswer: b**(-211\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, t: 6}. Give prob of sequence ytyt.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (44*m - 10*m + 18*m + (2*m - 3*m + 2*m)*(-3 + 4 - 6))*(0 - 5*m + 0) to c + g*m**2 + d*m and give g.\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1200 is divided by 240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.83 (b) 1693 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 9:35 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2349*z = -2368*z - 286 - 132 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1448, -5888, -13060, -22778, -34856, -49108, -65348?\n\"Answer: 31*g**3 - 1552*g**2 - g + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -0.56, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*c - 3*j + 6 = -129*c + 70*c, 5*c - 98 = 17*j for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i - 4. Let w be n(6). Suppose -o = w*o - 30. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28*m*v**3*y - 1297*m*v*y**3 - 845*v**3*y**2 + 2*v + 2*y**3 - 47*y**2 wrt m.\nAnswer: -28*v**3*y - 1297*v*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -143 - 136 - 142 + 413 + 5*o. Calculate i(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-251)\/(-6) + (-4)\/(-24). Put w, 3, 4 in decreasing order.\nAnswer: w, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a gram in milligrams?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -5765*u**8\/168 - u**5\/30 + 113*u**4\/12 + u**3\/2 + 33*u**2 - 19*u + 2. Find the third derivative of g(j) wrt j.\nAnswer: -691800*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2349.218 + -1.\nAnswer: 2348.218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*n + 1. Let f = -4\/35 + -97\/70. Is n bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5*m = 6 + 26, -5*m + 20 = 0. Let h = 3 + y. Does 8 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9882 + 9881. What is the third smallest value in -1\/3, q, -1085?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*u + 120*u + 28 = 5*i, -5*i + 3*u + 26 = 0. Let a(g) = g - 6. Let t be a(0). Let x be (8\/3)\/4*t. What is the closest to -1 in x, i, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 103668 and 115404.\nAnswer: 1956","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/(-102) - (-1)\/2)\/(-1).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t**(-2\/5)*t*t)\/t*t*t**3*(t\/(t\/(t*t**(2\/5))))**(-49))**(-2\/19))**(-7) assuming t is positive.\nAnswer: t**(-882\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/2 + 24415213*s - 48830425\/2.\nAnswer: -(s - 48830425)*(s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(180)*6)**2 + sqrt(180) + (sqrt(180) + 1 + sqrt(180) + -1)**2)*-5.\nAnswer: -295200 - 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r + 3 + 16*r**2 - r + 2*r + 34*r**2. Is t(-1) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.011 + -4.011. Let j = 95\/78 + -18\/13. Which is the closest to 0? (a) -5 (b) k (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n - 12. Let w be t(-6). Suppose 5*y - v - 373 = w, 4*y + 0*y - 294 = 3*v. Let s = y + -30. Is 18 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p + f = 11*p + 25, -8 = 4*f. Suppose 13 = 3*a - 5. What is the third derivative of 3*h**2 + 3*h**6 - h**a - p*h**6 wrt h?\nAnswer: -840*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4620151 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b + 2*b**2 - 2*b + (4*b - 4*b + b)*(-2*b + b + 2*b) + 2*b**2 - 2 + 2 - 5*b**2 + 636*b**2 + 942*b**2.\nAnswer: 1578*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 7*x**2 + 8*x - 5. Let v be s(8). Let t be (-1 - 1)*28\/(-8). Let p = t + v. Solve 3*j + 15 = 5*l - p*j, 0 = 4*j + 20 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1700.6 minus 570504?\nAnswer: -572204.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o + 36. What is n(17)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3242532 + -1220?\nAnswer: 3241312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 674*r - 760*r = -790512. What is the highest common factor of r and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 59100882 or 59100881?\nAnswer: 59100882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-4 - -3) + (-5 - (-7 + 0))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 308 and 11924?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 4*h = -0*j - 3, 2*h = 3*h + h for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 6:13 PM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(192)*1*6 + 6*(sqrt(192) + -1) + (sqrt(192)*1 + -5)*-3))**2.\nAnswer: 32400*sqrt(3) + 390825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99884320.\nAnswer: 2, 5, 624277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 181 - 180. Let v be (-2)\/6 + b + (-510)\/306. Let d(h) = 12*h - 10. Let u(l) = -l + 1. What is v*d(j) - 10*u(j)?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_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: Let c = -21\/4145 - 6839951\/679780. Let m = 69\/41 - c. Let u = 1\/11110 + 60547\/27775. What is the common denominator of u and m?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/112 and -149\/4831806.\nAnswer: 38654448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*q + 3016 + 96 = -920. Let o = 29 + 1. Suppose -3*z = -6 - o. What is the highest common factor of z and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13332022 - -15?\nAnswer: 13332037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 22 = a. Suppose 4*p - 3 = -a. Suppose i + 1 = -0*i. Sort i, -4, p in ascending order.\nAnswer: -4, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -5664833*f. Let h(i) = 16*i. Give n(h(o)).\nAnswer: -90637328*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*g + 15 + 270 = 0. Let l be (1\/(-2))\/(g\/390). Let t = 127 - 88. Calculate the greatest common divisor of t and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times -16783?\nAnswer: -151047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003913454658 rounded to four decimal places?\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 200 and 2925?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1146, -8539, -20868, -38139, -60358, -87531?\nAnswer: -119664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.45992 (b) 0.3 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -0 - 5. Put y, 3, 3\/7 in descending order.\nAnswer: 3, y, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**4 + 464*g**3 + 2282*g**2 + 2724*g = 0. What is g?\nAnswer: -227, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 11 = y, 9*y = 4*s - 15 - 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57 - -91. Let z = g - -115. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 + -11. Suppose -2*q - 3*x + 120 = 0, -27*q = -26*q + x - 57. Calculate the remainder when q is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 2)*(-14*q + 10 - 10)*(5 + 5 - 6).\nAnswer: -168*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -802, -1582, -2362, -3142?\n\"Answer: -780*t - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.1 (b) 1 (c) 0.69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 0. Let u be 6 - (-20)\/(-35)*10. Factor 0*k - u + 2\/7*k**d.\nAnswer: 2*(k - 1)*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 + 44. Let p be 0*(12\/(-20) + 16\/s). Let a = 9739\/29 - 336. Which is greater: a or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 6*i + 3. Let d be n(-6). Suppose 30 = 3*o - d. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4293, 5, 4, 6 in descending order.\nAnswer: 6, 5, 4, -4293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-2))\/((-3)\/18). Factor 2*y**2 + y**4 + y**h - 4*y**4 + 2*y**4.\nAnswer: -y**2*(y - 2)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.985 - -5. Let h = y + -5.015. Suppose -5*n = 4*z - n - 8, 5*n - 5 = -4*z. Put z, h, -2\/15 in decreasing order.\nAnswer: z, -2\/15, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/175)\/(12\/(-10))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -2. Suppose 4*x = 4*l - 8, -j*l = -x - 3*x - 4. Let d be (x + 4)*3\/6. Sort 2, d, 0 in decreasing order.\nAnswer: d, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**4 - 165*x**3 - 5852*x**2 - 44160*x + 50176 = 0. What is x?\nAnswer: -16, 1, 196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 36*r**3 + 7 - 1)*(-30*r - 10*r + 19*r).\nAnswer: 756*r**4 - 42*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 567 + -260. Suppose 4*s - 3*q + 50 - w = 0, -2*q = -2. What is the remainder when s is divided by 28?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-147)\/(-36) + 14\/(-168).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14872 and 2717?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1584 and 8808?\nAnswer: 581328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nmmqmfpmffhmn. What is prob of sequence mqh?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 9*i - 130. Let p be m(-17). Suppose -2*r = -0*r - 8. Suppose -p*k = -r*k - 1042. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6440 = -121*m + 282*m for m.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**2 + 8*v + 4. Let z be m(-15). Let b = z - -1070. Suppose 0 = 17*a - 23*a - b. Round a to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -0.5, 0.73, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7483*f + 5117*f + 4413*f - 268157 = 0 for f.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 8*y**2 - 37*y + 6. Let f(x) = -x**2 + 5*x - 11. Let g be f(4). What are the prime factors of p(g)?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3423.0000018615 - -3423. Round o to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*j + 152*j = -102*j. Solve j*z - 3*z = 9*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1060 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 114\/(-380)*(-152)\/(-6). Which is the smallest value? (a) 2\/9 (b) -0.3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**2 + 2*g + 4. Suppose 3*k + 1 = -8. Let l be v(k). Let i = 91 - 89. Solve -i*c + l = 3*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*c**3*s - 2*c**3 - 3810*c**2*s - 5*c**2 + 8*c*s + 6*c - 304*s - 2 wrt c.\nAnswer: 144*c*s - 12*c - 7620*s - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r + 16 = 16*r. Let m be -2 + r\/9 + (-332)\/(-747). Put m, -4, 3, -65 in ascending order.\nAnswer: -65, -4, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-693)\/98 - 6\/14. Which is the third smallest value? (a) u (b) -5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 - -28. Let d = a + -11. Is 2 a factor of (-8)\/d*(-9)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by -3 - (-258)\/90 - 677\/(-15).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**2 + l - 1. Let k be -3 + -4 + 13 + -4. Determine x(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.8 and 113948.78.\nAnswer: 205107.804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*48\/6720*14.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -72*w**4 - 6*w**3 - 400*w**2 - 1 wrt w?\nAnswer: -1728*w - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*t + 20. Factor 28*x**3 + 1356*x + 320*x - 1875 - 3*x**t + 32*x**3 - 176*x - 450*x**2.\nAnswer: -3*(x - 5)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -7*v**2 + 9*v + 7. Let g(t) = 4*t**2 - 5*t - 4. Suppose 2 - 7 = -b. Let n(w) = b*g(w) + 3*d(w). Determine n(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -ed1 (base 16) in base 14?\nAnswer: -154d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*q - 17 = -8*q, -5*d - 10 = -5*q. Let j(n) = d*n + 0*n + 0*n. Let s(r) = 3*r - 212 - 5*r + 212. What is j(s(x))?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3 + (3*sqrt(288)*-1 + sqrt(288) + -2 + (sqrt(288) + 1)**2)*4 + -2.\nAnswer: 1138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1049661, -2099320, -3148979, -4198638?\n\"Answer: -1049659*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -36.086 and 3?\nAnswer: 39.086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*b + 35*b + 18. Let u(j) be the third derivative of j**4\/24 - j**3\/6 + j**2. Calculate the remainder when b is divided by u(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6960 (base 10) in base 12?\nAnswer: -4040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*o + 16172 = -129*o. List the prime factors of o.\nAnswer: 2, 13, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7009 is divided by 180.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/1140 and 193\/570?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -762 + 1327. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -2*q - 25. Let f(k) = -2*k**2 - 2*k - 2. Let w(r) = -r**3 + 5*r**2 + 5*r + 5. Let g(v) = q*f(v) + 2*w(v). Factor g(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p = -0*p + 756. Calculate the highest common divisor of p and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2 = o - 14, 5*o = -2*u + 16. Put -44, 5, o in ascending order.\nAnswer: -44, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of 5\/3*r**3 + 9*r**2 + 0 + 17\/24*r**4 + 0*r. What is the first derivative of a(b) wrt b?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffof when four letters picked without replacement from {o: 6, f: 12}?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 33*q**3\/8 - 291*q**2\/8 + 105*q\/4 + 6 = 0.\nAnswer: -2\/11, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3303300332 (base 5) to base 11.\nAnswer: -4001016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/4)\/(189\/(-56))*122\/2684?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32909 (base 10) in base 15?\nAnswer: 9b3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4 = 0, 3*y + 2*y + w = -42. Which is the smallest value? (a) 0.1 (b) -1\/3 (c) -1\/11 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3956473 is divided by 90?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8246263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 26*a**2 - 42*a + 29. What is the hundreds digit of x(24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 2*z**3\/3 - 3*z + 6. Let g(q) be the first derivative of i(q). Let x(u) = -u**2 + 3*u**2 - 3*u**2. Calculate g(x(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 102*p**2 - 1295*p - 4 + 2 + 2591*p - 1297*p to y + b*p + c*p**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z + 9. Let f be r(-5). Let t = f - 21. Suppose -3*b + 38 - 14 = 0. Calculate the remainder when b is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + 4*k + 1 = -s, -51*s - 2*k = -20*s - 91 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4721*q + 486 + 21 = 4682*q for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.6412 kilograms to tonnes.\nAnswer: 0.0026412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18059 - -18093. Let q be (-2)\/(-8) + 123\/4. Which is smaller: v or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhbhb. Give prob of picking 2 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**3 + 5*b**3 - 3*b**3)*(75472 + 362*b - 75472)*(3 - 3 - 3*b).\nAnswer: 2172*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -4*m + 12. Let l = -1 - 0. What is the units digit of (-1)\/(l\/m) + 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 3, -j + n + 2 = -0*j. Suppose -23*u - 17 = -109. Suppose 0 = -j*r - 3, -u*o - 4*r + 1614 = 642. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 4*b = 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -418 at most as big as -393?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**3 - 31*k - 8*k - 2*k**3 + 15*k - 2*k**2 + 3*k**3 to h + t*k + v*k**2 + x*k**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, q: 2, t: 2}. What is prob of picking 1 q and 3 t?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l. Let n(q) be the third derivative of 0*q**4 + 0*q**3 - 1\/60*q**5 + 0*q + 10*q**2 + 0. Determine n(k(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 3 - 11*n + 2 + n. Let o be p(10). Let f(s) = 9*s**3 - 2*s - 1. Determine f(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/3 + 89*v**2\/3 - 88*v\/3.\nAnswer: -v*(v - 88)*(v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 2:44 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((2*(-2*sqrt(16) + sqrt(16)))\/(-2*sqrt(648)) + -5)*-6.\nAnswer: -150 + 10*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11320 less than -305069.47?\nAnswer: -293749.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -157, -315, -473, -631?\n\"Answer: -158*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5938798l in millilitres?\nAnswer: 593.8798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8186 smaller than 8090?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 115773, 463052, 1041839, 1852134, 2893937, 4167248, 5672067?\n\"Answer: 115754*r**2 + 17*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 54253\/336 and 161 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -13953*0.4\nAnswer: -5581.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 4*k + 54 - 36, -w = -0*w + 5*k + 18 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times -0.05?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 43.0515 minutes?\nAnswer: 2583.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 50 divided by 1\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 + 586*x + 12*x**3 - 289*x - 5*x**3 - 297*x + 0 + 2. Suppose -i + 66 = 3. Let h(m) = -217*m**3 - 63*m**2 - 63. Give i*r(w) + 2*h(w).\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2009 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 747 is divided by 47.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37 by 20.\nAnswer: 37\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + v + 2)*(0*v**2 + 5*v**2 - 3*v**2) - v**2 + 2*v**3 + v**2 + v**3 - 2*v**2 + 2*v**2 + (0*v + v + v)*(2*v**2 + v**2 - 2*v**2).\nAnswer: 7*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 516188, 1032375, 1548562, 2064749, 2580936?\n\"Answer: 516187*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-1*sqrt(66)*-2)\/(-2*sqrt(726) + sqrt(12)\/sqrt(2)*5))**2.\nAnswer: 44\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 5*o**2 + 7*o - 50. Let v be f(5). Is 12 a factor of 4\/((-110)\/v - 7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by 9\/((-54)\/132*44\/(-24))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d - 55*d = -32*d - 195. Find o, given that 4*o**2 + 12\/7*o**3 - 2\/7*o**4 + 6\/7 + 22\/7*o - 2\/7*o**d = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, 0, -1\/4, -273?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j - 2*j - 7*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 12 - 10. Suppose r*s = -0*s - 6. Put 4, 0.3, s in increasing order.\nAnswer: s, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 6*q**2 - 2*q - 4. Let b be f(4). Solve -b = -j + 6*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10401071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102.3 at least as big as -0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2*q**(2\/13)*q**(1\/6)*q**(-7))**(-11) assuming q is positive.\nAnswer: q**(4015\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 39.74149ml?\nAnswer: 0.03974149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -74\/5 + 15. Let y be (1\/(-2))\/((-4)\/(-88)). Put -4\/5, y, 4, f in increasing order.\nAnswer: y, -4\/5, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.179 + -0.179. Let z = 3\/2 - 13\/6. Which is the biggest value? (a) z (b) g (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 12*z**2 - z + 15. Let b be a(12). Suppose -b*y = -c - 122, -2*y - 36 = -3*y - 2*c. Does 20 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*y - 3*y + 10*y + 1)*(5 - 4 - 3).\nAnswer: 10*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d - 1729 = -1575 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.6 + -0.4. Let y = -152.7 + -47.3. Let g = 204 + y. Which is the nearest to 0.1? (a) -0.6 (b) n (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -786*i**2 + 805*i + 2044*i + 787*i**2 - 2 + 0 as b*i**2 + j*i + h and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -543.595, -1, 0.06?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -5*y - 188464*x + 188466*x, 0 = -3*y + 4*x - 27 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1560 is divided by 267.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**5 - 4*i**4*t + 6*i**2 - 28*i*t - t wrt i.\nAnswer: 20*i**3 - 48*i**2*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -q**5\/210 - q**4\/21 - q**3\/7 - 9*q**2 - 6. Let j(b) be the second derivative of k(b). Determine n so that j(n) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48 + 175. Let k = 34 - 34. Suppose 3*w - w = -2, 5*q - 2*w - c = k. Solve -2*i + 7*i - q = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5*k - 115 = 0, 4*x = 5*x - 4*k - 8. Let r = 5 + x. Suppose -d + z = -49, d + 0*d - r = 5*z. List the prime factors of d.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*w**3 + 1068*w**2 - w**4 - 109 + 974 - 1070*w**2 - 10*w**3 to the form m*w**2 + a*w**4 + c*w**3 + y + j*w and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 9:29 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 167*w + 988. What is h(-4)?\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4590*v + 123*v**2 + 4590*v + (2 - 2 - 3*v)*(v - 2*v - v) + 5*v**2 + 2*v**2 - 4*v**2 - 2 - v**2 + 2 - v**2 - 1 + 1.\nAnswer: 130*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 3 - (1 + -5) - 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.05 + 0.1. Let h = z - 3.05. Let a = 86395.8 - 86396. What is the closest to h in 0.2, a, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2708718846 - -0.17?\nAnswer: 2708718846.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*a**4 + 1075*a**3 - 5265*a**2 - 27675*a - 3375 = 0. What is a?\nAnswer: -3, -1\/8, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**3 + 8*b - 2*b**3 + b**3 + 1 as k + q*b**2 + x*b**3 + f*b and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - r + 5 = -4*b, 2*r - 10 = -3*b. Suppose 3*l + 3*o - 3 = 0, b*o + 5*o = 3*l - 35. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60\/(-10) - (1 - 3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-276)\/(-14))\/(7\/147). What is the greatest common divisor of 46 and r?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -239*l**2. Let z(j) = -1123099*j. Calculate z(n(d)).\nAnswer: 268420661*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 4:45 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 18*m - 320. Suppose -m*u + 28*u = -40. Which is the nearest to 0.1? (a) u (b) -0.04 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - ((-2 - 59) + (-36 - -47))) + 3 + -7\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 122, 0.04, 1, 0.8 in decreasing order.\nAnswer: 122, 1, 0.8, 0.1, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 9) to base 13.\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 258082 and 117310.\nAnswer: 1290410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 355*q - 385*q - 60 = 0. Let l(f) = 3*f**3 - 2*f**2 - 2*f + 1. Determine l(q).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**2 - k + 5. Let d(h) = 2*h**2 + 2*h - 6. Determine 5*d(n) + 6*i(n).\nAnswer: -2*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25997072?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1198643, -4794588, -10787831, -19178372, -29966211, -43151348?\n\"Answer: -1198649*l**2 + 2*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o*s**4 - 2*o*s**2 - o*s - 5*s**4 - 6*s**3 - 400*s wrt s?\nAnswer: -48*o*s - 120*s - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2945, -2, -36, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/25 of a microgram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 11:08 AM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -74 - -82. Let t be 6284 - -1 - (r + -3). Round t to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(2\/9)\/j*j*j*j)\/(j**(-2)*j))\/(j\/(j\/(j**(-5)\/j))*j*(j\/((j\/j**(2\/5))\/j*j))\/j) assuming j is positive.\nAnswer: j**(487\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a11547 + 2?\nAnswer: -a11545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 16*b - 13*b - 21*b + 0.\nAnswer: -50*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from beejeeeeeseesee. Give prob of sequence jsse.\nAnswer: 11\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2778 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-2)*d)\/d*d*d*d**(-1\/5))**9)**(-1\/6) assuming d is positive.\nAnswer: d**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -514472.9 and 54.\nAnswer: -514418.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 3\/5378614?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**3 + 3*q**2 + 3. Suppose 13 = -f + 3*z, -4*f = 5*z - 23 + 92. Let m(s) = -10*s**3 - 16*s**2 - 16. Give f*l(u) - 3*m(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-20)\/(-3)*(-17676)\/(-48)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -13222 (b) -10 (c) 4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 14*x**2 - 21*x + 10. Calculate k(8).\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -h**6\/48 + 5*h**5\/24 - 5*h**4\/16 - 15*h**3\/4 + 22*h**2. What is v in l(v) = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*u - 6*u + 12*u)*(4*u - 2*u - 3*u) - 2*u - 3*u**2 + 2*u.\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 5*j**2 - 6*j + 3. Calculate w(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 x when three letters picked without replacement from {l: 1, i: 4, t: 7, x: 2, j: 2, b: 1}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 equal to 5619?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + i + 2. Let w be n(-1). Suppose -k + 15 = -w*k. Round k to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.3 (b) -5 (c) 91 (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f**(1\/13)*f)\/f)**(16\/11)\/((f*f**(1\/21))\/f*f**(-2\/11)\/f*f*f) assuming f is positive.\nAnswer: f**(2104\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11276\/(-14095)*2425\/20?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 6. Let a be 0 - 3\/(-1)*s. What is the third biggest value in a, 2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3683 + -3646 - 24\/10*(-80)\/12\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 10*g**3 - 93*g**2 + 667*g - 7. Let q(z) = 7*z**3 - 62*z**2 + 443*z - 5. Let a(s) = -5*l(s) + 7*q(s). Find r, given that a(r) = 0.\nAnswer: 0, 13, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 r when two letters picked without replacement from arr.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 11329 divided by 11329\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c + 5. Determine u(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 1 = 2*q, -d + 4*d = 3*q - 9 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -237155097*m*s**2 - 24610237*m - 2 wrt s?\nAnswer: -474310194*m*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28079, -112731, -253829, -451373?\nAnswer: -705363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50 by -3412.\nAnswer: 25\/1706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**5 - 595346*f**3 + 228*f**2 + 178*f.\nAnswer: 60*f**2 - 3572076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 591, 1189, 1787, 2385, 2983, 3581?\n\"Answer: 598*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3)*(m*m\/(((m**(2\/9)\/m*m)\/m)\/m))\/m)**(-6\/23)\/((m**1*m)**(-5\/6)\/(m*m\/m**3*(((m*m*m\/(m\/(m*m**(-1\/7)\/m)))\/m*m)\/m)\/m)) assuming m is positive.\nAnswer: m**(281\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1002959.\nAnswer: 37, 27107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1001?\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2 - -3) + -10 + 8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v - 16*v = 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6482815 to the power of 1\/3, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1215396 and 520884.\nAnswer: 3646188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-40)\/22 + (-2)\/11. Let z(l) = l**3 + 3*l**2 - 6*l - 6. Let q be z(-4). Which is greater: y or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 5)*(2*n**2 - n**2 - 2*n**2)*(6*n + 3*n - 10*n)*(4*n - 6 + 6)*(3 - 2 - 2) to t + w*n**4 + x*n**2 + a*n**3 + p*n and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dikidddk. Give prob of picking 2 k and 2 d.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 172.\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10723268 and 5361634?\nAnswer: 10723268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 14 + 16*g**2 + 13 - 14*g + g**2 - 5 - 5 + g**3. Give s(-18).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 0 = -0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2253*o - 280416 - 42243 = 902*o - 7159 for o.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+-0.1189701228\nAnswer: -0.3189701228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f**2 + 79*f - 393. Give q(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 38751800?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**3 + 7*h**2 + 2*h + 1. Let f be a(-3). Suppose -111 - 21 = 4*v. Let r = f - v. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 23813 from 31.\nAnswer: -23782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 12 = -j. Suppose 0 = j*h + 2 - 59. Is 8 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from erqq. Give prob of picking 1 e and 1 q.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -26450 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**3 - b**3 + 2*b**3 + 2*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -113*f**2 - 445*f - 39. Let z be x(-4). Sort 0, -18, -3, z.\nAnswer: z, -18, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -1953140?\nAnswer: -1953139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2161, -5179, -9777, -15601, -22297?\nAnswer: -29511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (-4)\/(-4) - -1. Let i = q - -29. What is o in -14 + 116*o**2 + 16*o - 1 - 1 + 9*o**3 - 20*o**4 + 83*o**3 - i*o**5 = 0?\nAnswer: -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -653040, -653039, -653038, -653037, -653036, -653035?\n\"Answer: d - 653041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13719*s - 13720*s + 4 = 0. Let a be -2 - (6\/(-3) - 0). What is the second biggest value in -2\/3, a, s, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 330.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 4*s + 6. Let d be 4\/6 + (-5 - (-37)\/3). Let u(v) = 6*v**2 - d*v - 4*v**2 - 11 + v. Suppose 23 = -5*r + 3. Determine r*u(p) - 7*h(p).\nAnswer: -p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-172*v + 230 - 116 - 114)*(4 - 4 - v).\nAnswer: 172*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 368*h = 411*h - 218707 - 59890. Does 49 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3168510)\/9*((-5)\/10)\/(9\/(-54)). What is u rounded to the nearest ten thousand?\nAnswer: -1060000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7227 and 876?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -58043, -116105, -174165, -232223, -290279, -348333?\n\"Answer: m**2 - 58065*m + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2884.13774148 and 2.1.\nAnswer: 2886.23774148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7*-1)\/(1\/(-59)). Suppose -5*w + v = -7. Suppose -3*z - w = -3*h + z, 3*z = 0. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 2:31 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.1 - 13. Let d = n + -0.1. What is the nearest to d in -1\/6, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 434bf?\nAnswer: 434c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100956 and 39386.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/162*-27)\/(14\/4).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2009568941 to the nearest integer?\nAnswer: 44828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*d**2 + 4*d**2 - 2*d**2 + (1 - d - 1)*(104 - 104 - 4*d).\nAnswer: 22*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.1282 times -136.76\nAnswer: -17.532632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -8*a**3 - 38*a**2 + 87*a - 24. What is k(2)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from ttttttcfcfct.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of q**4\/4 - 5*q**3\/3 + 4*q**2 - 4*q + 4. Determine x so that g(x) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -4*a**2 + 5*a - 21. Let d(w) = 6*w**2 - 6*w + 24. Let s(l) = -4*d(l) - 5*r(l). Give s(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1099317362?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.475868 to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of 59*h - 1\/3*h**6 - 1\/3*h**3 - 5\/6*h**4 + 1\/10*h**5 + 0*h**2 + 0. Find the third derivative of d(q) wrt q.\nAnswer: -240*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 7*u + 1. Suppose 4*d - 4*c = -6*c + 670, 0 = -d - 3*c + 170. Suppose 20 = -11*b - d. Let y(z) = -20*z - 3. Determine b*a(w) - 6*y(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22602 and 3390300.\nAnswer: 3390300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 3*p + 2. Determine w(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/9)\/i*i*i)\/i**(-3\/8) assuming i is positive.\nAnswer: i**(83\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-4 - -2) + 7 + (-6 - -9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 266 and 190.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2*x - 332 = a, -2*a + 2*x - 658 = 0. What is a rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*(-3)\/4 - 307. Let w be (-2)\/8 + 20\/j. Is 1 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1097426732.\nAnswer: 2, 274356683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9104 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/(-6)*((-105)\/10)\/1. Solve 9*p - a*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 11:26 PM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -13. What is the units digit of 9\/d + 18 + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.62621182 rounded to 3 dps?\nAnswer: -3.626","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 626*g - 278*g = -532*g - 35200 for g.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2, 7, -4, 2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/(-1 - -4 - 2). Suppose -4*z - h - 5 = 0. Is (1\/z)\/(4\/26388*-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of x**5\/60 - x**3 + 17*x**2. Let v(l) be the first derivative of z(l). Let y(i) = 25*i. Calculate v(y(u)).\nAnswer: 50*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 503161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*l**2 + 17*l - 17*l + 8 to the form a*l + u*l**2 + d and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 9*w**3 - 2*w**2 - 3*w - 1. What is h(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 262.3101ns in milliseconds?\nAnswer: 0.0002623101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2, 28, 100, 232, 442?\n\"Answer: 3*b**3 + 3*b**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of 0 + 0*o + 0*o**3 + 0*o**4 + 13\/60*o**5 - 40*o**2. Let z(c) = 2*c**2. Give s(z(v)).\nAnswer: 52*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(4 - (-154)\/(-39)). Let i = -36 + r. Suppose 2*s + t = -i*s + 675, -t - 549 = -4*s. What are the prime factors of s?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -96f - 2?\nAnswer: -971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, l: 3, d: 1, s: 1}. Give prob of picking 2 l and 1 u.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -68 + 63. Let s be 1534\/6 - 3\/45*w. Let z = s - 128. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*h - h = 0. Solve -a + 22 = -h*a - 5*d, 0 = -3*a + 5*d + 16 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 4)*(-7*i**5 + 12*i**5 + 10*i**5) + (14*i + 13 - 13)*(3*i - i**4 - 2*i**2 - 2*i + 4*i**4).\nAnswer: 12*i**5 - 28*i**3 + 14*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123774 is divided by 93?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1274 and 6370.\nAnswer: 6370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*4*(sqrt(1100)*-2*-2 + 5)**2 + (-5 + (-1*sqrt(1100))**2 + sqrt(1100))*-1 + ((sqrt(1100)*-2 - sqrt(1100)) + -4 - (sqrt(1100) + sqrt(1100) + 1)*-5)**2.\nAnswer: -299694 - 7870*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2688*x - 38. Let t be u(10). Let h = t + -12911. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-2)\/(-2)*10\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 5120417.6 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((15\/(-9))\/(505\/(-202)))\/((-2)\/117)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5437862 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*r**4 + 29*r + 2728?\nAnswer: -12*r**3 + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 2*a**2 + 2. Let u be d(-2). Let c(r) = 11 - 3*r**u - 2*r**3 + r + 0*r**3 - 5*r**2 + 3*r**3. Is c(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1692508800 rounded to the nearest 1000000?\nAnswer: -1693000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, o: 12}. Give prob of sequence ooaa.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -19*h. Let z(a) = -9*a**2 - 5*a. Let d(f) = -4*f**2 - 2*f. Suppose -3*o = 2*y + 5, y - 6*y + 25 = 0. Let j(l) = o*d(l) + 2*z(l). What is j(v(i))?\nAnswer: 722*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 + -44.7. Sort f, 0.8, 0.4 in descending order.\nAnswer: 0.8, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 448*d + 203*d + 4108 = 146*d + 573 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Is 29261148 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-92)\/161 - 1584\/21. Let o be 2\/(-6) + (-476)\/(-6). Let k = o + g. Calculate the remainder when 5 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**2 + 5*y + 6. Let s(x) = 6*x**2 - 9*x - 11. What is 3*s(z) + 5*v(z)?\nAnswer: 3*z**2 - 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -o**5\/3 - 3*o**4\/8 - 21*o**2. Find the second derivative of i(d) wrt d.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k - 656 + 1328 = 0. Calculate the highest common factor of 6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14132235 and 268203.\nAnswer: 183719055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14, -49, -134, -247, -394, -581, -814?\n\"Answer: -o**3 - 5*o**2 - 41*o + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -648 divided by 216.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -18251, -18406, -18559, -18710, -18859, -19006, -19151?\n\"Answer: i**2 - 158*i - 18094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -14.612822?\nAnswer: 5.8451288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23b (base 15) to base 12.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of m**4\/12 - 16*m. Let d(l) = 42*l. Determine s(d(x)).\nAnswer: 1764*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - 4 - 789159\/(-21) - -2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -113, -133, -169, -227, -313?\n\"Answer: -g**3 - 2*g**2 - 7*g - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**2 - 36*v + 8. Let z be r(-18). Let g be 5 - 2 - -40 - z. What is the highest common factor of g and 280?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1112 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240*s + 314459 = 216146 - 1382967. What is the smallest common multiple of s and 20?\nAnswer: 30860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-nine eighths of a millimeter in micrometers?\nAnswer: 4875","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.45 - 0.75. Let a = c + -3.5. What is the third smallest value in -2\/9, 0.3, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/3, 2, -0.29, 0.4?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 80\/3*b**2 + 20\/3*b + 65\/3*b**3 + 5*b**4.\nAnswer: 5*b*(b + 2)**2*(3*b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 6*n - 5. Let g(y) = y**2 - y - 15. Let r be g(0). Let h = r - -11. Calculate k(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*y = -15, -160*g + 5 = -163*g - y. Solve 12*u + 27 - 111 = g for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 575?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13784 and 143856?\nAnswer: 247863888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**2 + 12*b - 32 = 0. Calculate b.\nAnswer: -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 - 0. Let n = -20347 + 20375. Which is the third smallest value? (a) 0.4 (b) 2\/11 (c) n (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -156836, -156852, -156862, -156860, -156840, -156796, -156722?\n\"Answer: r**3 - 3*r**2 - 14*r - 156820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f + 4*f - f + (0 - 2*f + 0)*(-1 + 3 + 2).\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -8*a - 5*z - 5, 0 = -2*a - 2*z - 2. Let f = 3 - a. What is the units digit of (-35)\/(-15)*f*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 23 = c, -183*c + 182*c - 57 = -3*x. Solve -15*t - 85 = x for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*k. Suppose k = 4*h + 5 - 33. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 1000000101111?\nAnswer: -1000000110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 70273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71909 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-5*((-2*(sqrt(10) + (sqrt(90) - sqrt(10))))\/sqrt(2)*-1 - (-2 + (sqrt(20)*4 - (sqrt(5) - (0 + sqrt(5))*4)))).\nAnswer: -20 + 50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q + 4. Let b be k(4). Suppose 2*z + 10 - 22 = b. Differentiate -41*p**2 - 10 + 0*p**4 - z*p**4 + 41*p**2 with respect to p.\nAnswer: -24*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.15 + 0.65. Let m = -6.377 - -1.377. Put -3, c, m, -0.1 in descending order.\nAnswer: c, -0.1, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -18 + (-222)\/(-10)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 10) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -914385, -914388, -914391, -914394, -914397?\nAnswer: -914400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/36 and -4 - (8 - (-129)\/18)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 21*b**2 + 4 + 9*b - b + 19*b**3 + 2*b. Let z(m) = 39*m**3 + 42*m**2 + 21*m + 9. Let g(c) = -9*k(c) + 4*z(c). Factor g(n).\nAnswer: -3*n*(n + 1)*(5*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 58? (a) -2\/17 (b) 0.2 (c) 0.4 (d) -0.6 (e) -2\/221\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**5 + 664*l**4*v + 2057*l**2*v - 2*v wrt l?\nAnswer: -120*l**2 + 15936*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 138 (c) 156 (d) -1 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 x when four letters picked without replacement from vdzvvzxdxxxzx.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 27690460 rounded to the nearest one hundred thousand?\nAnswer: 27700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4062*v**2 + 265*v + 5629075.\nAnswer: 8124*v + 265","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -21456331 minus -5126062?\nAnswer: -16330269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30667 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s - 2. Let c(b) = -b - 3. Let t(m) = -2*m - 45. Let a be t(-22). Let k(y) = y + 1. Let l(q) = a*c(q) - 6*k(q). What is -4*l(v) + 7*w(v)?\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**4\/7 + 170*z**3\/7 + 117823*z**2\/7 + 117652*z\/7 = 0. Calculate z.\nAnswer: -268, -1, 0, 439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 w when two letters picked without replacement from {c: 1, d: 2, w: 1, j: 2, t: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/4013700 and -109\/83844.\nAnswer: 1649630700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269*v = 266*v - 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 g when four letters picked without replacement from {q: 8, g: 3, d: 7}?\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.03 (b) 5 (c) 2 (d) 93\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 275 - 275. Let m be (1\/8)\/((-3)\/2). Which is smaller: q or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/((-924)\/(-200)) + (5 - -2)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 x when four letters picked without replacement from dxddxdxddd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 30202 (base 5) in base 7?\nAnswer: 5422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -22*t**3 - 3*t**2 + 2*t. Let h(v) = 111*v**3 + 17*v**2 - 11*v. Determine -4*h(c) - 22*m(c).\nAnswer: 40*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -602 - -616. Suppose -t*f + 9*f = f. Solve -5*r + 6*r - 1 = f for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 161274, 645140, 1451588, 2580618?\n\"Answer: 161291*y**2 - 7*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 280590587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 37 = -3*j - 40, -5*j + 32 = -4*w for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) 4 (c) -6 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**5\/5 - 44*b**3\/5 + 24*b**2\/5 + 112*b\/5 - 96\/5 = 0 for b.\nAnswer: -3, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-5 - (-4 - (4 + -1))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.4 (b) -2\/9 (c) 1\/28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.222719*0.6.\nAnswer: -0.1336314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/15)\/(k\/(k*k*k*k\/(k**(-3)\/k*k))))\/(k**(-2\/13))**(-7\/5))**(1\/17) assuming k is positive.\nAnswer: k**(1141\/3315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i + 6. Let v be h(6). Let s = v + 0. Solve -w - 2*w + 9 = s for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 12*l + 12. Let q be w(10). Find the common denominator of 146\/q*-2 - -3 and -17\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 329*w**2 - 8. Let o(j) = 53628*j**2 - 1308. Determine -327*k(l) + 2*o(l).\nAnswer: -327*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16042?\nAnswer: 2, 13, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 16 = -2*y, -4*z = 3*y - 17 + 53. Let h(q) be the third derivative of q**4\/12 + 3*q**3\/2 + 20*q**2 - 2*q. What is h(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/6 - 63\/6. Let x be (16\/n)\/((-16)\/40). Suppose 5*z = 20, -v - v - 18 = -5*z. Calculate the greatest common factor of v and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**3\/7 + 16402150*t**2\/7 - 98412873*t\/7 + 147619296\/7 = 0.\nAnswer: 3, 16402144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 f when four letters picked without replacement from pspssfssfpf?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4256 and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 7*p + 1. Let r(j) = 113*j. Let y(i) = -49*i. Let k(x) = 3*r(x) + 7*y(x). What is 5*k(w) + 2*v(w)?\nAnswer: -6*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1627\/5 or 0.1?\nAnswer: -1627\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -538*y - 6879 = 473*y - 18000 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((170\/(-20))\/17)\/(3\/6*-3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 + 45 = -4*l. Let x be (-25)\/(-7) - (l + -3). Let j be (-1)\/(-3)*(2 - 5). What is the smallest value in x, 0, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -109, -245, -441, -715, -1085, -1569?\n\"Answer: -3*f**3 - 12*f**2 - 79*f - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -171, -316, -437, -522, -559?\n\"Answer: 2*h**3 - 159*h - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 394 + -360. Is 39 a factor of z*27\/36*(-10)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4944755599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-200))\/((-4)\/(40\/(-6)))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*((0 - -2) + -3). Let z(g) = -32*g - 1. Suppose -4*o + 22 = -4*c - 2, 2*o + c - 27 = 0. What is the remainder when z(p) is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -16*s + 20. Suppose 0*l = -5*l - s*m - 5, -4*l = m - 11. What is the smallest common multiple of 6 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**3 + 24*o**2 + 50*o - 590. Calculate j(12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 513.819 * -0.2.\nAnswer: -102.7638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -757700 rounded to the nearest ten thousand?\nAnswer: -760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 + 24.6. Sort -3, 3\/5, z in ascending order.\nAnswer: -3, z, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2.1, -55\/8, 0.5, 0.4, 0 in ascending order.\nAnswer: -55\/8, -3, 0, 0.4, 0.5, 2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1239940, -1239843, -1239682, -1239457?\n\"Answer: 32*m**2 + m - 1239973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 9*v**2 + 2*v - 3. Suppose -2*u + 27 = u. Is j(u) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/(i**(4\/15)*i*i)))\/i*i)**(-2))**(-4\/5) assuming i is positive.\nAnswer: i**(272\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4315526 (base 7) in base 11?\nAnswer: -329815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 28*b - 26*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4560 and 1995.\nAnswer: 31920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*b - 4*n - 32 = 33*b + 23*b, 26*b + 94 = 2*n for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 6*l. Let k(i) = -53*i**2. Calculate j(k(x)).\nAnswer: -318*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, 4, -2, -1728, -0.42, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 9*u - 108. Suppose -z - 4*v + 6 = 0, -5*v = -2*z - 17 - 10. Let x be 4\/z*-39 + -2. What is the highest common factor of x and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(1 + (-9)\/2). Let m be (-1)\/((7\/(-21))\/((-10)\/6)). Let g = 0.38 + -0.08. Which is the nearest to -0.1? (a) r (b) g (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 344724, 344725, 344726?\nAnswer: 344727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/j**(2\/5)*j)\/j)**(29\/5))**(13\/2))**(1\/18) assuming j is positive.\nAnswer: j**(377\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, 4, -215335?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -134 + 138. Suppose -3*y + 745 = p*a, 0 = 3*a - 5 + 2. What are the prime factors of y?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/153)\/(((-1)\/2)\/((-21)\/(-14))).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xnn when three letters picked without replacement from xxnaxnxaxxxxxx.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -75 - -94.5. Let t = r - 20. Put -5, 2, -1, t in decreasing order.\nAnswer: 2, t, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -585\/224?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12190223 + -21386336. Let x = -16676559 - z. Round x to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**2 - 42*j - 30. Let v(t) = -9*t**2 + 119*t + 85. Let m(l) = 17*r(l) + 6*v(l). Let u(h) = 91*h**2 - 3. Give m(u(x)).\nAnswer: -24843*x**4 + 1638*x**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -3*n**2\/5 - 3350256*n\/5 - 1340100 = 0.\nAnswer: -1116750, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-10)*(-140)\/(-63)*-3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 2*h + (-3 - 3 + 7)*(2*h + 1 - 1) + 2*h - 2*h + 2*h + 0 + 0 + 2*h - 4*h + 3*h + 3*h + (4 - 3 + 1)*(0*h + 3*h - h).\nAnswer: 14*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61680 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.98 - 0.02. Let u = o + 3.03. Let p = 4.03 - u. Sort -2\/7, 2, p in increasing order.\nAnswer: -2\/7, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 20 = -2*o + 2*r, -5*o = -4*r - 31. Suppose -5*n - o = -4*p + 250, -4*p = -n - 41. Let u = 55 + n. Solve -u*h = -h - 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -7*t**3 + 5*t**2 + 6*t - 13. Let o(a) = -a**3 + a**2 + a - 2. Let k(l) = c(l) - 6*o(l). Let s(i) = -5*i**3 - 3*i**2 - 3. Determine -3*k(g) + s(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**6\/120 + h**5\/6 + 5*h**4\/12 - 7*h**3\/6 - 7*h**2. List the prime factors of v(-8).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 26 = 4*b, 0*v - 3*v - 24 = -5*b. Suppose 4*k = -b + 2. Let h = 1 + k. Which is smaller: -2\/13 or h?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -7*o**3 + 6 + 2*o + 8*o**3 - 2*o**2 + 5*o**2 + o**2. Calculate b(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 185948.1603ms?\nAnswer: 0.00030745396875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1496 - 106 = -5*l. Let i = l - -541\/2. Calculate the common denominator of -17\/3 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (10 + (-3 - 1)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (45 - (-8 + 14)) + -22?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 37 = -595. Let j be 20 - (2 - (-7 - 2)). Suppose -j*a + 657 = -z. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 12*v - 29. Calculate p(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 7*v - 8 = 0. Solve -2*q - 4*s = 2, v*q - 2*s = -0 - 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f + 39. Let w be p(-14). Put 2, w, -4 in increasing order.\nAnswer: -4, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8162)\/210 + 4\/(-30). Let n = y + 44. Solve l - 21 = -6*g + 2*g, n*g = -5*l + 30 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - 8*g - 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-8)\/(-2) - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 s when four letters picked without replacement from sbkkkaks?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -228 + 21?\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.8 + 45.8. Let s = 45.00000515 - c. Round s to 7 dps.\nAnswer: 0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**2 - q**2 - 2*q**2)*(-3*q + 3*q - q**2).\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*s + 3*n + 6, 0 = 3*s + 5*n - 20. Suppose 2*h - 5 = 3. Suppose s*x + h = x. Solve -3*b - x = -16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11532 - 11530. What is the smallest value in q, 3, 5.56, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50217?\nAnswer: 3, 19, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 2*v - 7*v)*(2*v - 2*v - v**2)*(-2*v**2 - v**2 + v**2).\nAnswer: -20*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31922.74 + -32403. What is h rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tsm when three letters picked without replacement from wmttmqis.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/229 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7 + (55 - 19) + -2. Solve 89 - 8 = d*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 24, 2, -90, -288, -628, -1146, -1878?\nAnswer: -2860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.18890747 to four dps.\nAnswer: -11.1889","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 74\/6 - (-1)\/(-3). Suppose -w - 242 = o. Calculate the remainder when 1\/4 - o\/8 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 89.1 - 25.2. Round w to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -26459, -52931, -79405, -105881?\n\"Answer: -q**2 - 26469*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 34183, 68368, 102553, 136738, 170923?\n\"Answer: 34185*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2548.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1480 - 1472. Solve -9*s = 21*s - y*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 22. Is k*(-25 - (-4 + 8)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + 4*((sqrt(1573) + (-1*sqrt(1573)*-5 - sqrt(1573)))**2 - (2 + sqrt(1573) + sqrt(1573))*-4)*1 + 5).\nAnswer: -629352 - 1408*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1004 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**6\/120 + 11*p**5\/60 - p**4\/24 - 13*p**3\/6 + p**2. Let a be v(-11). Let f = a + 6. Solve f*c + c = 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((0 - -2)\/2)\/((-76)\/(-6026420)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 433519360?\nAnswer: 433519360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -250 + 253. Which is the fourth biggest value? (a) -6 (b) 0.3 (c) 4 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -5562.\nAnswer: 16686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 - 6*d - 7. Let n be 0 + 4 + -3 - -8. Calculate the remainder when h(n) is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b*b\/((b\/(b\/(b*(b\/(b*(b*b\/(b**(-2\/27)\/b))\/b))\/b)))\/b))\/b)\/(((b*b*b**(-1\/7))\/b)\/b))\/(b**(2\/29)*b\/b**5))**(-48) assuming b is positive.\nAnswer: b**(-802240\/1827)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-17)\/(k\/(k*k*k**(2\/25)*k))*(k**8)**(-2\/13) assuming k is positive.\nAnswer: k**(-5249\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mpp when three letters picked without replacement from {a: 1, u: 1, p: 4, r: 8, m: 3}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 46336788 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4132 + -16531\/4. What is the second biggest value in -67, y, -2\/3, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15840 - 15735.07. What is n rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -20689658, -20689657, -20689656, -20689655?\n\"Answer: h - 20689659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/69216780 and 34\/39.\nAnswer: 899818140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 37 = 14*w - 14. Which is the fifth smallest value? (a) w (b) -0.25 (c) -4 (d) -5 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49*b**2*o**2 - 1260*b**2*o - 12*b**2 + 2*b*o**2 + 11877668*b wrt b.\nAnswer: 98*o**2 - 2520*o - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -11*h**2 + 9*h - 8. Let i(l) = l**2. Let o(q) = -5*i(q) - y(q). What is the remainder when o(5) is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 623?\nAnswer: -6\/623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -4. Suppose h = -0*h - 3, -v*m + 25 = -3*h. Let x(u) = u + m*u - 3*u. Let i(t) = t. Calculate x(i(q)).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 20, 23, 24, 23, 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4883 - -4883. Let m = 0.1 - -0.6. Let i = m - 0.6. Which is the closest to s? (a) 1\/2 (b) i (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - -4*((-14)\/(-4) + -4). Suppose z = -6*x - x - 7. Is x bigger than -7\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3850 is divided by 107.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-one halves of a tonne?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.05141725 to 4 dps.\nAnswer: -5.0514","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -u**2\/2 + 32*u - 5. Let n be v(14). Suppose 0 = 3*b - 42 - n. What is the highest common factor of 220 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 611? (a) -4\/9 (b) -2.2 (c) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 112*h - 2877. What is r(40)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125680423?\nAnswer: 11, 11425493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -220894524.\nAnswer: -441789048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5010.12 hours?\nAnswer: 18036432000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vftt when four letters picked without replacement from {v: 2, f: 1, e: 1, b: 2, t: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 5*n + 115, 3*u + 92 = -4*n + 5*u. Let k be 24\/9 - n\/(-12). Find o, given that -3\/4*o**2 - k + 3\/2*o = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2700561\/37 at least as big as -72988?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dj when two letters picked without replacement from {j: 15, d: 2, m: 3}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + 15 = 5*o - 4*s, -5*o - 3*s - 20 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*u)*(6*u**3 + 40*u**3 + 43*u**3)*(-1 + 1 - u).\nAnswer: -178*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 408466 != 408459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 6*t + 1. Let s be r(2). Suppose -l + 64 = 3*o, -2*o = 3*o + 4*l - 116. Suppose 2*q = f + 4*f - 28, -q = -4*f + o. Solve -f*i - s = -1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 57156 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -17 - 1)*(32 - (-2145)\/(-66))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -99853 - -7913962. Let m = q - 7814108.86900139. Let f = -0.131 + m. Round f to seven dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271 = -4*c - 4*t + 267, -2*c - t - 4 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of t**6\/720 - t**5\/40 + 5*t**4\/12 + 16*t**2. Let z(n) be the second derivative of s(n). Differentiate z(k) with respect to k.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -4) + (-17 + 10 - -21)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10663, 21332, 31993, 42640, 53267, 63868, 74437?\n\"Answer: -m**3 + 2*m**2 + 10670*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27526 is divided by 262.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -13a0a (base 11) in base 13?\nAnswer: -9063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*p. Suppose p = -3*v - 3*f + 198, -4*f - f = 25. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/704 and 93\/49348928?\nAnswer: 542838208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -1) + 0 - 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -179 + 179. Solve 4*j + j + 5 = z for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7446.41232 rounded to the nearest ten?\nAnswer: 7450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 18*s + 20*s - 76*s + 21*s. Let u(w) = -w**2. What is u(a(k))?\nAnswer: -289*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 585011 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*d + 5*u = -84, 147 = -4*d + 5*u. Let a = d - -62. Is a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d. Let t be ((-9 + 9)\/(-3 - -5))\/(-2). Let p(n) be the second derivative of 0*n**2 - 7\/6*n**4 + 0*n**3 + 17*n + t. What is p(i(g))?\nAnswer: -56*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17358017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 988.255719 rounded to 1 decimal place?\nAnswer: 988.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*t - 2120 = 0, 25*w - 24*w + 2*t - 696 = 0. Suppose 0 = -2*v - 2*v - 176. Is 27 a factor of (w\/6)\/(v\/(-12) - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 431, -1, -2, -4, -10, 5 in ascending order.\nAnswer: -10, -4, -2, -1, 5, 431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**6*j*j**(-2)*(j*j*(j**(2\/5)*j)\/j*j)**(-7\/3) assuming j is positive.\nAnswer: j**(-44\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002778022 rounded to five dps?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1967523899.\nAnswer: 11, 373, 479533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 823004176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 76?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.015413976402 to five decimal places.\nAnswer: -0.01541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3900*a**2*b*z**2 - 2919*a**2*b + 17*a**2 + 39*a*z**2 wrt z.\nAnswer: 7800*a**2*b*z + 78*a*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 3*j**5\/20 + 169*j**3\/6 - 1577*j**2\/2 - 269*j - 1. Find the first derivative of d(l) wrt l.\nAnswer: 9*l**2 + 169","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311528908?\nAnswer: 2, 947, 82241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -a**4\/12 + 31*a**2. Let u(s) = -39*s. Give w(u(i)).\nAnswer: 78*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 + 70. Let g(o) = -3 - 1 - f*o + 0 + 10. Does 6 divide g(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l**2 - 2. Let t = -65 - -70. Let m(u) be the third derivative of -u**5\/12 + 5*u**3\/6 + 17*u**2. Determine t*a(n) + 2*m(n).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 229187232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = h - 15, 2*h - 6 = 33*t - 37*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/5*10\/(-2). Suppose -3*l + 12 = -s, -l + 5*s = k + 7. Let i = l + -7. Which is the third biggest value? (a) 0.5 (b) i (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1178 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from okkkkqcokkkckkcocok. What is prob of sequence oqo?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -851 + 9?\nAnswer: -843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*u + 23*u - 33*u)*(5 - 11 + 5 + 3 - 1 + 2 + 3 - 1 - 1 + (0 - 1 + 3)*(2 + 0 + 0) + 1 - 1 + 1).\nAnswer: 261*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/15*(-95)\/(-2). Let p be ((-1)\/(-2))\/((-1)\/(-4)). Find the second derivative of -2*s + 3*s**5 - 38*s**p + x*s**2 wrt s.\nAnswer: 60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 12:37 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((48\/(-800))\/((-6)\/(-30)))\/(12\/50).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.3? (a) 1\/4 (b) 0.1 (c) 1\/13 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -50 - 289*j - 290*j + 52 + 580*j. Let n = -6 + 5. Let d(h) = -2*h. Let k be d(n). Determine s(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v\/(v*v\/(v**1\/v)*v)))**(-13\/6)\/(v**(1\/2)*v\/(v*v**(-2\/11))))\/((v**0*v*(v*v**(-1))\/v*v)\/(v*v*v*v**(1\/12)*v\/v**4)) assuming v is positive.\nAnswer: v**(-1355\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6477)\/15113)\/(18*(-6)\/8)?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8965.289 decades in centuries?\nAnswer: 896.5289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + a - 29 + 10, 0 = -4*y - 5*a + 32. Suppose y = 2*k - 1. Let w be 1\/(1 - (-3)\/(-4)). Solve w*j + 2 = k*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 40 = 5*m, 0 = -23*m + 20*m + 17*r + 67 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1956ed - 6?\nAnswer: -1956f3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*q + 8 = 0, 2*v + 5 + 2 = 5*q. Let c = v - -5. Suppose 0 = 3*w - 6 - 6. Solve -2*j - 11 = -w*j + 3*k, 14 = 2*j - c*k for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/129 (b) -7 (c) 2 (d) 0.7 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19513 by -554.\nAnswer: -19513\/554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence thhv when four letters picked without replacement from {t: 1, h: 2, v: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q + 11*q + 37*q.\nAnswer: 48*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 68 divided by -11\nAnswer: -68\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**22*q)\/((q**(5\/4)\/q)\/q) assuming q is positive.\nAnswer: q**(99\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*v + 13*v + 5*t + 1, -2*v + 5 = t for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -7cb9582?\nAnswer: -7cb957b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by 24635424?\nAnswer: -1\/1026476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 815030943 to the power of 1\/3, to the nearest integer?\nAnswer: 934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 22146, 1, -1 in descending order.\nAnswer: 22146, 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 - 6)\/((-2)\/4). Suppose u*o - 4*o + 15 = 3*j, -6 = j - 3*o. Suppose -j*w + 1 = -8. Solve 8*a = w*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 51883639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221*v**2 - 9 + 0 + 3610*v**2 + 9 + 8238*v**2.\nAnswer: 11627*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (454\/(-9328))\/(-1) + 15170\/(-407) + 37 and (-3)\/10 + -2 - 0.\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8\/3 (b) 0 (c) -0.16942\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/160 and ((-342)\/5852)\/((-72)\/(-273)).\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -6*p + 24. Solve -2*a - p = -3*y, -a - 4*y - 1 = -5*y for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fcif when four letters picked without replacement from {i: 1, f: 3, c: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 137532965?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -6. Suppose 3*p = -4*o - 79, 4*p + 3*o = 3*p - 23. Let m = -27 - p. What is the least common multiple of h and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(2 - 4))\/((-63175)\/(-27075))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63600000 = -2*y - 2*y. Round y to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 5*a**2 + 6*a - 4. Let x be i(4). Solve 2*q + 6 = -x for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 22 = -70. Let f be (-1560)\/(-36)*i\/10. Suppose 0 = 4*r + 4*w - f, -3*r + 104 - 6 = -w. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223 = 122*m + 119*m + 132*m + 2388 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*k = -0*k - 27 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-5 + (-9 + 9 - (-5 + 7)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -7*s - 7. Let m(n) = n**2 + 6*n. Let y be m(-5). Let u be k(y). What is the highest common factor of u and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 11603.59\nAnswer: 2320.718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 683\/5 - 138. Calculate the common denominator of 36\/7 and h.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21835399277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/4 and 53\/1976.\nAnswer: 1976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0)**(-49)*((k\/k**(2\/5)*k)\/k)\/k**2)**(-14) assuming k is positive.\nAnswer: k**(98\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 87715861?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/10)\/(7480\/1360)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4014 + 2113443?\nAnswer: 2121501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 171*p - 3180. Let q be c(-17). Let m(a) = -a**3 + 15*a**2 + 19*a - 37. What is m(q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7375.306t in nanograms?\nAnswer: 7375306000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - 23. Let a be (0 - (-1)\/(-2))*(-5 + 87). Let c = x - a. Which is greater: 74 or c?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -12*d - 13 + 0*d - 6*d + 62 + d**2. List the prime factors of v(15).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 6 = -4*u. Let s(b) = -5*b**2 - u*b**2 + 6 - 3*b + b**3 + 0*b**3 + 5*b. Let l be s(7). Solve 16 = 4*w - 5*v, l - 1 = w - 5*v for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14139024 and 18?\nAnswer: 42417072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -274519 divided by 18\nAnswer: -274519\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 10\/1241789 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*v + 18 = 0, -3*v - 19 = -m - 29. Solve -3*g = m*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 + 0 + 1)*(1 + 2 - 2) - 1 + 1 + 1)*(-144*m**3 - 658*m**3 + 104*m**3) to the form x*m**3 + n*m**2 + l + v*m and give x.\nAnswer: -2792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 194125191 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(275) + 0 + 2 + 5*(sqrt(275)*-4)**2.\nAnswer: 5*sqrt(11) + 22002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 6:58 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*o - 6*o = -9*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/6*5\/30. Let u = -685.3 - -685. Put y, -2.8, u in descending order.\nAnswer: y, u, -2.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1395533, -80, -1 in decreasing order.\nAnswer: 6, -1, -80, -1395533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003293 rounded to four decimal places?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -26*p**2 + p. Let n be c(1). Let m = n + 29. Suppose -m*j + 8 = 4*d, -4*d = -2*j - 0*j + 10. Solve 12 = -j*a - 4*l, 5*l = -2*a - 3 - 12 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 367*j - 1613 - 956 = 0 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -4. Let g(r) = 3*r + c*r - r. Let h(w) = -2*w. Determine g(h(o)).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - n - 3, 9*a = 4*a + 2*n - 30. Let t be 9\/6 - (4 - 132\/40). Put a, 2\/11, -0.06, t in descending order.\nAnswer: t, 2\/11, -0.06, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 92*a**2*n**3 - 47*a**2 - 5*a*n**3 - a - 21 wrt n?\nAnswer: 276*a**2*n**2 - 15*a*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 7*x**2 - 97*x - 15. What is the remainder when 3599 is divided by r(16)?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 6*q + 2. Let v be p(-1). Let k be v\/7 + 4775\/(-35). Let l = k + 195. List the prime factors of l.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*a - 5*j, -j + 5*j = -4*a. Find the third derivative of o**2 - a*o**2 - 4*o**5 + o**5 wrt o.\nAnswer: -180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwrlzzzrtz. What is prob of picking 1 t and 1 z?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 141065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/(3*sqrt(160))*-2.\nAnswer: -sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 11*x**2 - 9*x + 22. Let q be y(-10). Solve 2*k = -k - q for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((u + 0*u + u)*(-42*u**2 + 395 - 395) - 3*u**3 + 5*u**3 - 5*u**3)*(-3 - 2 + 6).\nAnswer: -87*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.376*2.\nAnswer: -0.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*y = 0. Let k(p) = 2*p + 9. Let n(c) = 3*c + 8. Let t(r) = 4*k(r) - 3*n(r). What are the prime factors of t(y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 320*8\/((350\/(-65))\/(-7))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-58)\/18 - 10\/(-45)*1. Let p be 2*(w + (-9)\/(-6)). Which is the nearest to -2\/7? (a) -0.2 (b) p (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7735 + -5237. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-24)*8*(-6)\/(-4). Suppose -3*w - c = -12. Let l be 19\/7 - (-8)\/28. What is the greatest common divisor of w and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -110282 < -110292?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of q**4\/4 - 5*q**3\/3 + 3*q**2\/2 - 3*q - 112. What is o(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q + 3328 = -2*q. Suppose 2*u = 5*b - 204, -5*b + 190 = -0*u + 5*u. Suppose 4*g - b = q. Calculate the remainder when g is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n**4 - 348*n**3 - 7412*n**2 + 3132*n + 67032 = 0. What is n?\nAnswer: -49, -38, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*h + 204*h = -315 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 25 = -0*f - 4*m, -m = 4*f + 55. Let n be 10*(f\/5 - -3). Solve -5 = n*i - 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24133\/15510 - -40\/517. Find the common denominator of n and -81\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 2*l + 10. Suppose -l*o + 20 = 0, -2*q - 2*o = -5 - 5. Solve -5 = 3*a + q for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/6 - (850\/51 + -16)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3757? (a) 2 (b) -52 (c) -0.3 (d) 1 (e) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = g + 3, -3*v + 122 = 4*g. Suppose 0 = -t - 2, 4*d - v = 3*t. What is the greatest common divisor of 36 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 4*h - 75996, -56981 = 16*s - 19*s + h. What are the prime factors of s?\nAnswer: 5, 29, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**4\/3 - 24874*x**3\/3 - 24878*x**2 - 74638*x\/3 - 24880\/3 = 0.\nAnswer: -1, 12440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of -5*t**8\/168 - 13*t**4\/24 + 5*t**2. What is the second derivative of y(x) wrt x?\nAnswer: -200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1805\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/184 and ((-56)\/24 + 11)*(-1)\/(-32).\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 182 - 263. Let i = z - -103. Let b(x) = x**3 + 4*x**2 - x + 4. What is the remainder when i is divided by b(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3325*x**4 + x**2 - 4*x - 7039 wrt x.\nAnswer: -39900*x**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -72959\/10 - -7306. Calculate the common denominator of q and 617\/70 - 2\/(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 86 + -123. Let t = b + 104. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211 = 5*g + 16. Let i = 70 - g. List the prime factors of (2\/2 + i)*(0 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 260, 312, 352, 374, 372?\n\"Answer: -b**3 + 59*b + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f\/f**(-1\/18)))\/(f*(f**15*f)\/f*f)*f*f\/(f**(-1\/33)\/f*f)*f*f**(1\/5))**(-1\/15) assuming f is positive.\nAnswer: f**(12697\/14850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 6, -4\/3, -4, 0.2.\nAnswer: -7, -4, -4\/3, 0.2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -365 - -365. Solve p*m + m + 2*h - 5 = 0, 0 = m - 2*h + 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = x - 3, 7*q - 2*q + 15 = 4*x. Which is the nearest to -1\/4? (a) -12 (b) 0.4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 14*l - 32 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 - 352*x + 1593730.\nAnswer: -2*(x - 809)*(x + 985)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**5\/3 - 7*z**4\/3 + 13*z**3\/3 + 43*z**2\/3 + 8*z = 0?\nAnswer: -8, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -419*w + 7. Let f be x(-1). Suppose -39*i + 33*i + f = 0. Is i a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.012 times -548154\nAnswer: -6577.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 29a - -10c99?\nAnswer: 11266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2008, 2988, 3964, 4936, 5904, 6868, 7828?\n\"Answer: -2*q**2 + 986*q + 1024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 4*h - 38 = 3*r, 5*r = -5*h + 65. What is the greatest common divisor of r and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -6*s**2 - 139*s - 14. Let c be g(-22). Calculate the greatest common factor of 336 and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 3:54 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4839 = -377*d + 15018 for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.022 + 0.278. Let h = -0.29 + z. Put 1\/5, 2, 5, h in descending order.\nAnswer: 5, 2, 1\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - m = -6*a, -6 = -2*m for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1716837*0.16.\nAnswer: -274693.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of 0*w**5 + 0 + 5\/3*w**3 + 0*w**4 + 0*w - 6*w**2 - 1\/20*w**6. Differentiate x(k) wrt k.\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*p - y, -2*p - 4*y - 15 = -p. Suppose 0 = -v - v. Let g = v + p. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66, -11, 10, 1 in descending order.\nAnswer: 10, 1, -11, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 - c**2 + c**2)*(-28*c + 28*c + 42*c**3) - 439*c**3 + 15*c**5 - 1 - 450*c**3 + 885*c**3 - 2*c.\nAnswer: 99*c**5 - 4*c**3 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 6*g**2 + 17*g + 5. Let d be w(-8). Which is smaller: 1.4 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.93 - 0.07. Let u = s - -10. Which is the closest to -0.1? (a) 4 (b) u (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 12:06 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 23a3094 (base 11) in base 8?\nAnswer: 17735615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(5)*-3 + 3 - (-2 + sqrt(125) + -2).\nAnswer: -14*sqrt(5) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 7*b + 0*b - 4*b**2 - 3*b + 20*b - 2. Let r(o) = -5*o**2 + 25*o - 3. Let c(w) = -6*k(w) + 4*r(w). Factor c(a).\nAnswer: 4*a*(a - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17544 is divided by 274.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 22 = -5*q, 32 - 12 = 2*k - 4*q for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 447395.\nAnswer: 5, 13, 6883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-4 + 2 - -1 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from asasaawv. What is prob of sequence wwwa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -2. Let r be 1\/(-2) + ((-42)\/d)\/7. Sort r, 4, -3\/5 in ascending order.\nAnswer: r, -3\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48 + 46. Suppose -4*t - 3 = 13. Let k = 174\/7 - 25. Which is the third smallest value? (a) d (b) t (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*k = 89*k - 485. Let b be (1 - 30\/20) + k\/(-2). Calculate the highest common factor of b and 912.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**3\/4 - 507609*x**2\/4 - 29917602*x - 1764522381 = 0. What is x?\nAnswer: -168967, -118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.67682 + 3?\nAnswer: 9.67682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 174936, 173194, 170290, 166224?\n\"Answer: -581*j**2 + j + 175516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**3*c*z - 14868*b**3*z + b**3 - 15*b*c*z - b*c - 34*b*z - 1955*c*z with respect to c.\nAnswer: -b**3*z - 15*b*z - b - 1955*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 2 - (-5 + 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -2 + -5 + -4 + 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 127 (base 11) to base 4\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 732767 to the nearest integer?\nAnswer: 856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 118 - 116. Solve -x - o*x = 12, -2*m - 20 = 3*x for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 7*w**2 + w + 7. Let k(s) = s**3 + 45*s**2 - 39*s + 316. Let u be k(-46). Let a(t) = 13*t**2 + 2*t + 13. What is u*a(j) + 11*v(j)?\nAnswer: -j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1574 - 1397*o**2 - 139*o**2 - 1574)*(2*o + 2*o - 3*o).\nAnswer: -1536*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 820\/36 - 4\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -24*n - 526. Let s be m(-24). Solve -4*f = 4*c - 14 + s, f - 3 = 2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**3 - 7*h**2 - 12*h + 5. Let y(v) = -4*v**3 + 8*v**2 + 15*v - 6. Let m(p) = -6*u(p) - 5*y(p). Find the third derivative of m(x) wrt x.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (2528\/198 - -39*12\/(-858)).\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07971 rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -2*l + 0 - l**2 + 1\/6*l**3. Let v be z(4). Solve -v*o = -o - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 555 = -487*u + 458*u - 344 for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5196 divided by -4.\nAnswer: -1299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 144 - 112. Suppose 388 - k = -4*t. Is -89 != t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -328*p**6 - 2590*p**3 + 305*p**2 - 1992 wrt p?\nAnswer: -39360*p**3 - 15540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 15 = 0, 2*m - 6 = 4*u - 0*m. Suppose -3 = -0*j - j, 3*t - 42 = -3*j. Suppose -15*l + 12 = -t*l. Sort -2, l, u.\nAnswer: u, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3482 is divided by 35?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -674 + 672. Let j be ((-6)\/4)\/(3\/8). Let i be (v + 1)*(j + 3) - -6. Solve -5*n + 2*z = 15, -n + z + 1 = i for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -12\/35701433 and 109\/12890.\nAnswer: 357014330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -20, 0 = 3*r + 139*z - 133*z - 33. Put r, 5, 3, -3, -518 in decreasing order.\nAnswer: 5, 3, r, -3, -518","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of 1\/12*c**4 - 3*c + 0 - 7\/6*c**3 - c**2. Determine v(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mojjmpmmp. What is prob of sequence jmpo?\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -0.0460463 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 0 + -2 + (104 - 3). Suppose 3*x = -q - k, 2*x + q + 3*q = -74. Let j = x + 287. List the prime factors of j.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4560 - 2650. What is the greatest common divisor of 10 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 4*n - 85784, -u = 2*n - 3733 + 32341. Round u to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(88)\/sqrt(8) + -4 - (3*sqrt(99))\/sqrt(9))**2.\nAnswer: 8*sqrt(11) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of s**3\/3 - 1. Let r(c) = 3*c**2 + 119 - 119 - 4*c**2. What is p(r(h))?\nAnswer: h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 20 = 4. Suppose -4*u - 3*k + 64 = -0*k, 0 = w*k - 16. Solve -3*q + u = 5*a, -3*a + 2 = 4*q + 3 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 1189874?\nAnswer: -1189873.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1501109 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4*t + 70 = t, -70 = -5*p - t. Suppose 2*v - 4 - p = -3*x, -4*x - v + 19 = 0. What is the third biggest value in -0.3, 1\/8, x?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64498 and 6?\nAnswer: 193494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1545*k + 1542*k + 3. Solve 4*i - 3*w = -14, 0 = 5*i - 3*w + 18 + k for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/4)\/(2\/(-4)). Suppose 3*h - 49 = -2*h + t, p*h = 5*t + 25. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - 4*(-1 - 0). Let u = -26 + 33. Solve -2*s + 5*j - 16 = b, -u = -2*j - 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -6*y**2 - 75. Let r(o) = 5*o. Calculate r(p(d)).\nAnswer: -60*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -6*x + 2. What are the prime factors of b(-4)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-22*-4*9*(-15)\/(-2970)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13451, 26986, 40545, 54140, 67783, 81486, 95261, 109120?\nAnswer: 123075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 6*g**2 - 28*g + 171. Let a be j(6). Solve -7*u - 13 = -10*u - 5*y, a*u = 3*y - 27 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -86 - -30. Let j = -53 - t. Let q be j\/((-4)\/(-4)) + 19997. What is q rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + v + 16. Let r be l(0). Let s = 12311\/24 - 1567\/3. Find the common denominator of s and -1*(-14)\/r*20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**4 + 231456*o**3 - 8926562580*o**2 + 114649681742800*o + 3102053427987750 = 0.\nAnswer: -27, 38585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g - 2019 + 1969 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 1:10 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -5. Suppose -672*d + 680*d - 16 = 0. Find the third derivative of -2*v**2 + 12*v**d + 6*v**6 + i*v**6 wrt v.\nAnswer: 960*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -4*r + 1741 - 10, 5*r - 3*f = 2136. Let h = r + -147. List the prime factors of h.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -1. Let c(h) = -h + 9. Let k(q) = -18*q + 147. Let v(b) = 33*c(b) - 2*k(b). Calculate -6*m(u) - 2*v(u).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**2 - 32*m - 225. What is the units digit of x(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/5 + 364904*f\/5.\nAnswer: 2*f*(f + 182452)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 5*s + 5. Determine x(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fo when two letters picked without replacement from ahhoaaoaahfofaf.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - u**2 - u. Let n(g) = -25*g**3 - 2*g**2 - 2*g - 1. Determine 2*k(w) - n(w).\nAnswer: 23*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (31\/(-3))\/(1\/(-3)). Let y(v) = 4*v**2 + 14*v - 6. Let f be y(-6). Let q = f - r. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 687308501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 182881 and 1990.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 >= -24\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmbmmbkzrkkwmkkm. Give prob of sequence wkz.\nAnswer: 1\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1245.052 + 56.\nAnswer: 1301.052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + n)*(1 - n - 1) + (-2*n + 2*n - 2*n)*(-53*n + 13*n - 58*n) - 2*n**2 - 2*n**2 + 2*n**2 in the form w*n + b*n**2 + l and give b.\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q**3 - 17*q**2 - 17*q - 20. Let o(y) = y**3 + 6*y**2 + 6*y + 7. Calculate 6*m(w) + 17*o(w).\nAnswer: -w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**3\/5 + p**2 + 3*p\/5 - 9\/5 = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**2 + 238140*w - 36365193 = 0 for w.\nAnswer: 153, 79227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 158 times 0.3\nAnswer: 47.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12742993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11371\/6690 - 1\/3345. Let f = -6307 - -2475. Let o = -23081\/6 - f. Calculate the common denominator of o and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8220 and 1308?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k**2 - 1705*k + 19729. Determine w(329).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.12, -33, -4, -1\/4, -1\/6, 3, 37?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 89160912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 30 and 0.03.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7423 + -7744. Which is smaller: c or 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g**2 - 2*g**3 - 2*g**2)*((3 - 1 + 0)*(1 - 15 + 1) - 10 - 1 + 4) as u + q*g + d*g**3 + b*g**2 and give d.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - q - 1. Let g(b) = 4*b**3 + 7*b**2 - 2*b - 3. Give g(c) - 2*n(c).\nAnswer: 2*c**3 + 7*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177995046.\nAnswer: 2, 3, 29665841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -1203550?\nAnswer: 1203545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 2 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 916*c**3 - 68*c**4 - 2 - 35*c**4 + c - 915*c**3 to the form w*c**3 + m*c**2 + n + k*c + l*c**4 and give l.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 715603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 - 46. Let m(t) be the second derivative of -2\/3*t**3 + 0 - a*t + 0*t**2 + 1\/4*t**4. Find the second derivative of m(q) wrt q.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, 1\/2, 18.4, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 761609 = 4*l - 1299799, 0 = 4*c - l - 2061403. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 237, -2, 263 in decreasing order.\nAnswer: 263, 237, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**3 - m + 3. Let p(z) = -z - 5. Let s be p(-8). Let n(l) = l**s + 6*l**3 + 10 - 4*l - l**3. Give 3*n(u) - 10*y(u).\nAnswer: -2*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 6307?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -14 + (-146)\/(-10) + (-12)\/(-5). Solve 11 = -2*z + 3*g, -z + p*g - g = 6 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 63 - 251\/4. Let m = -0.2 - -0.3. Let c = -0.2 + m. What is the third biggest value in 1, c, g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -5, -4, -1, -63 in increasing order.\nAnswer: -63, -5, -4, -1, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, u: 2}. What is prob of picking 2 o and 1 u?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -5.8. Let g = 0.4 - a. What is the smallest value in -2, g, -2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 108, 295, 680, 1365, 2452, 4043, 6240, 9145?\nAnswer: 12860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*y - 52*y + 146*y - 48*y + 1446*y**2.\nAnswer: 1446*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32 + -139.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 - 5*x**2 + 6*x**2)*(-2 + 2 - x) + 8175*x - 8175*x - x**2 - 49*x**3.\nAnswer: -51*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46 + 81. Let b = o - 76. Let q = b - 54. What is the biggest value in 0.4, 0.2, q?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(-2\/3))\/w*w)\/((w**(-9)\/w)\/w))\/(w*(w*(w*w**(2\/5))\/w)\/w)**16 assuming w is positive.\nAnswer: w**(-146\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 1219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9)\/30)\/(0 - 18\/(-15)). What is the nearest to p in 4, 0.3, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1 + (sqrt(14)\/sqrt(2))**2)*2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 510579 and 153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100)*-1)**2*-2 - sqrt(110)\/(sqrt(10) - 1*sqrt(90)).\nAnswer: -2200 + sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2327 - 758. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 e when two letters picked without replacement from {a: 1, e: 17}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10573 = -47261309*t + 47261406*t for t.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-833)\/84 - (6 - 4113\/108).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -2. Suppose -28 = -4*s - 20. Solve -s + k = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -158820686 or -158820687?\nAnswer: -158820687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 323813434 to the power of 1\/5, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*l + 216 = 103*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -299, 1, 0 in descending order.\nAnswer: 1, 0, -299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-466)\/168 - -1) + 25\/(-300). Put 10, -1\/3, m in descending order.\nAnswer: 10, -1\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*y**2 - 8*y**2 + 3*y**2)*((-4 - 2 + 5)*(0 - 2 + 3) - 4 - 1 + 3 - 3 + 2 - 1) - 231*y - 54*y**2 + 231*y in the form f + q*y + k*y**2 and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-748503)\/(-32543) + -6 + -17. Which is smaller: q or 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, s: 2, o: 4, f: 3, c: 7}. What is prob of picking 1 t, 1 o, and 2 c?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 462 is divided by 55.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-5 + (-3*(sqrt(112) + (sqrt(112) - (sqrt(112) + 1))*-3) - -1*(-3 + sqrt(112)*4))))**2.\nAnswer: -4896*sqrt(7) + 14436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dii when three letters picked without replacement from {i: 3, d: 7}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*x = 631*x - 9184 - 19831 for x.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000164093 to six decimal places.\nAnswer: 0.000164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/43 (b) 4 (c) -1\/25038\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6215593 divided by -4.\nAnswer: 6215593\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17064 and 4266?\nAnswer: 17064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 127610a - 3?\nAnswer: 1276107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2065842 to the power of 1\/2, to the nearest integer?\nAnswer: 1437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -121301 + 24?\nAnswer: -121222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200011 (base 3) to base 9.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from vnvnnxvvvqovvxnvnvvv.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 20*g**3 + 7*g**2 + 4*g + 39. Let d(t) = -39*t**3 - 13*t**2 - 7*t - 77. Suppose 12*b = 3*b - 36. Let s(h) = b*d(h) - 7*i(h). Differentiate s(o) wrt o.\nAnswer: 48*o**2 + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 3\/5, -2, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**2 - 11*n**4 + 38*n**3 - 4*n - 11*n**4 + 5*n + 27*n**4 - 36*n**3 + 2 in the form h*n**2 + j*n + b*n**3 + a + l*n**4 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzj when three letters picked without replacement from jjjjzzjjzzzzjjzzzj?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 7*v - 3*v)*(9*v**3 - 112 - 6361407*v**2 + 6361407*v**2).\nAnswer: 9*v**4 - 112*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + 3*w - 3*w)*(4*w - 4*w + 5*w) - 3*w + 3*w + 2*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w**3 - 30*w**2 - 56*w - 60. Let n(d) = 2*d**3 - 14*d**2 - 28*d - 30. Let c(m) = -3*j(m) + 5*n(m). What are the prime factors of c(-12)?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 391446854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence duk when three letters picked without replacement from {d: 1, u: 2, k: 2, z: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77188589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/15))**(-23)\/(m\/(m*(m*((m*m**(-6\/7))\/m)\/m)\/m)*m)**(-19) assuming m is positive.\nAnswer: m**(5378\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 63 + 46817?\nAnswer: 4687a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -57 (base 14) to base 2\nAnswer: -1001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 891, 3578, 8057, 14328, 22391, 32246, 43893?\nAnswer: 57332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8\/25 of a millennium?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -1828571*n**3\/6 + 3*n**2\/2 - 2*n. Let w be 6\/(-2) - (-2 - -6). Let g be q(w). What is g rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -739853, -1479707, -2219561, -2959415?\n\"Answer: -739854*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 283ad (base 16) to base 10\nAnswer: 164781","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -16 (b) 9\/1957 (c) 246\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -52*h**2 + h + 1. Suppose -b - 4*g = -5*b - 20, 0 = 4*b - 2*g + 12. Let m be w(b). Let a = m - -117. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31714.\nAnswer: 2, 101, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 30 in 0, 2\/11, -22\/9?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from brkjjjbkkurjuurjrr. What is prob of sequence uju?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11619669.\nAnswer: 3, 23, 47, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirteen quarters of a meter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.029 and 43?\nAnswer: -1.247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 404766139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(245) + 3 - sqrt(245)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36711 (base 10) in base 4?\nAnswer: 20331213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69523?\nAnswer: 37, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.88208947 minus 63936?\nAnswer: -63964.88208947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -262*f - 2*n + 1197 + 2213, 2*f - 18 = 4*n for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 9 - 35. Calculate the highest common divisor of l and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from cchhh?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3814*v**4 + 189*v**2 - 4235793*v wrt v.\nAnswer: 45768*v**2 + 378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 3*a + 3. Let x(y) = -y**3 + 4*y**2 - 4*y. Let c be x(a). Let b = -1 - c. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16519447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*c + 1123 = 4*y, -3*c = y - 1123. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 593 = 3*s - 4*u - 240, -5*u = -5. What are the prime factors of s?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22920 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v. Let h(l) = -3*l + 3. Let i(c) = h(c) - 5*x(c). Give i(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5150326004 to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 + 15 + (-9 - -33 - 57)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 9, -1\/7, -2, 2877, -7 in descending order.\nAnswer: 2877, 9, -1\/7, -2\/9, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 791 - 789 = -2*v. Let i(d) = -13*d**2 - d. Determine i(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/(4*sqrt(12))*2.\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of (-464 + -261)\/(2\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(3168)*1*-4)\/(sqrt(22)\/(sqrt(6)\/sqrt(3)) - sqrt(176))*-6*5.\nAnswer: -960*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1177079 - 370*q - 1177079.\nAnswer: -370*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -7*c + 1. Let s be n(7). Let k = 52 + s. Find the common denominator of -16\/35 and k\/270*1\/(4\/528).\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 - 1 - 4 - 1 + 3 + (2 - 3 + 0)*(-5 + 20 + 13))*(g**3 - 2*g + 2*g).\nAnswer: -35*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 19 = -23*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - t = -2, 0*a = 2*a - 3*t + 6. Solve z + 0*z = a for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14311206 to the power of 1\/2, to the nearest integer?\nAnswer: 3783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u**2. Let y = 195 + -195. Let g(b) be the third derivative of 0*b**3 + 12*b**2 + 0 + y*b + 0*b**4 + 1\/30*b**5. What is g(h(a))?\nAnswer: 32*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*f + 86*f - 48*f.\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*u**3\/9 - 5234*u**2\/9 + 259648*u\/9 + 104696\/9 = 0. What is u?\nAnswer: -569, -2\/5, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21953 = 595*d - 6012 for d.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -402.23 - -405. Let t = -1.77 + u. What is the closest to t in -1, 5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7883267, -15766529, -23649789, -31533047, -39416303, -47299557?\nAnswer: -55182809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(0 - (3 - 3)). Solve r*t + 5*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 738, 5595, 18770, 44421, 86706, 149783?\nAnswer: 237810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3699734657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2156 + -1314. What is the hundreds digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3253027?\nAnswer: 3253027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 8*l - 10*l + 5*m, l = 3*m - 10. Solve 16*p - 10 = l*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w + 2. Let n be ((-75)\/20 + 1)\/(1\/4). Let j(a) = -a - 10. Let m(l) = -10. Let d(c) = -5*j(c) + 4*m(c). Determine n*v(h) + 2*d(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 0.7. Let y = 95 + 910. Let h = y - 1004.6. Which is the smallest value? (a) h (b) 0.1 (c) g (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*v - 14*v + 56 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 10*n**2 + 17*n - 3. Let k be h(8). Suppose 0 = -k*s + 6*s + 2. What is the remainder when 47 is divided by (2 + 4)\/((-9)\/12)*s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/188, 71\/5, -51?\nAnswer: 71\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 - (65 - 29) - (-2 + -11).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/24*-6*0. Let x(d) be the second derivative of 0 + l*d**5 + 1\/6*d**4 + 0*d**3 + 0*d**2 - 4\/15*d**6 + 6*d. What is the third derivative of x(j) wrt j?\nAnswer: -192*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x**5 + 90*x**4 + 738*x**3 - 64832*x**2 - 265443*x - 199962 = 0. Calculate x.\nAnswer: -63, -46, -3, -1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + -3 + 45 - 2 - (-3 + 1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 269, 1094, 2475, 4418, 6929, 10014, 13679?\nAnswer: 17930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 338739\nAnswer: 169369.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 2. Let m be ((-3 - -2) + o)\/2. Let q be -1 + (-1 - 0) + m. Let n(v) = -v + 1. Let p(z) = -4*z + 5. Determine q*p(y) + 10*n(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f\/(f**10\/f*f))\/f*f))\/f**(-16))\/(f**(-16)*f**(-8\/13)*f) assuming f is positive.\nAnswer: f**(541\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 8:16 AM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*o + 254*o + 4*k = 743*o - 249*o - 12, 2*o = -6*k - 30 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c - 67. Give b(-9).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/1832 and -29\/6.\nAnswer: 5496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51*a*z**2 - 539*a*z + 26*a - 567*z**2 wrt z.\nAnswer: 102*a - 1134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/10677 and -31\/2.\nAnswer: 21354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9525, 19061, 28597, 38133?\n\"Answer: 9536*c - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 36153 = -3*r, 3*v - r = -2*v + 60267. What are the prime factors of v?\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 2*p, -4*u + p = -12. Suppose -5*q - 5*z = 0, u*q + z = 2*z + 4. Let v = 3 - 3. Put v, q, -2 in increasing order.\nAnswer: -2, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus 2326?\nAnswer: -2331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(-2 + sqrt(1539)) + sqrt(1539) - (0 + sqrt(1539) + -4)) + 3 + 0)**2.\nAnswer: 54*sqrt(19) + 13852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -2.2.\nAnswer: -0.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 497 divide 76830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 4*k + 4. Calculate s(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(209)\/sqrt(11) + 4 - (1 + sqrt(19) + -3)) + 2*(sqrt(38)\/sqrt(2) - sqrt(19))*-3 + -2)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 1116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tztz when four letters picked without replacement from {z: 3, t: 5, u: 1}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4618355 and 897890?\nAnswer: 4445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 146155?\nAnswer: 146154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 48\/(-8) + 5 + 4. Solve m = -3*q + 15 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 - (-265)\/(-55)) + 2\/(-11). Let m(k) = -26*k - 70. Does 8 divide m(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from meenmhhhjnee.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -393*(-2 + 1)*28\/12 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 47\/8 (b) -1 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2742*f - 176 = -2764*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, 6, -2892, -4, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and 90.353.\nAnswer: 90.353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 21*m - 35. Let l(b) = -25*b + 36. What is -2*l(x) - 3*w(x)?\nAnswer: -13*x + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-60) - (-1)\/5*-1. Let n = -62 + 88.5. Let h = 26 - n. Which is the second biggest value? (a) h (b) -2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4589 - 4589.2287. Let s = 5.5103 - r. Let v = s - 5.8. Round v to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -5 - 121\/33)*(-9)\/14?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(60\/(-5))*-3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5 = 2*j + 5*h, 5*h - 5 = j. Suppose j*z = z. Suppose z = 2*x + x. Do -1\/3 and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1408 - 6\nAnswer: -5.8592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/6435 or -1?\nAnswer: -1\/6435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y + 15. Let c be b(4). Sort c, 21, 5, 3 in decreasing order.\nAnswer: 21, 5, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38b3 (base 14) to base 4\nAnswer: 2123211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 728 - 716. What is the smallest common multiple of 189 and c?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 divided by -17?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 2*z - 7, 4*y + 5 = -2*z + 11. Sort -0.3, y, -2\/3 in ascending order.\nAnswer: -2\/3, -0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 248858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 86608320 to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13650523 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2257 (base 10) to base 4\nAnswer: 203101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - -4. Suppose v - 8 = -t, -2*v + 0*v + 4 = -2*t. What is the first derivative of 8 + 5*y**t - a*y**3 + 2*y**3 wrt y?\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61346.58l in millilitres?\nAnswer: 61346580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3064541 rounded to two decimal places?\nAnswer: -2.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 88 = 4*q, 0 = 4*p + 38*q - 37*q + 79. Let i(k) = -k**2 - 20*k - 11. Determine i(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of r**5\/50 + 3*r**4\/40 + r**3\/10 + r**2\/20 + 3. Factor m(w).\nAnswer: w*(w + 1)**3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 908879640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13913\/6 - -2324. What is the common denominator of v and 131\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 3*b**2 + 2*b - 4. Let k be z(-4). Suppose p - 24 = -2*p - 4*s, 4*p + k*s = 28. Calculate the greatest common factor of 36 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 1 (c) 120.1 (d) -0.1 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 17, y: 2}. What is prob of sequence gggg?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -383937*k**2 + 13*k - 149?\nAnswer: -767874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4338256 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -31\/120*a**4 - a**3 + 222*a**2 + 0*a + 0 + 0*a**5 + 1\/600*a**6. Solve q(r) = 0.\nAnswer: -5, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12620 (base 10) in base 16?\nAnswer: -314c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 510*n**3*p*s - 4*n**3*p + 2*n**3*s + 5*n**3 + 14*p wrt s?\nAnswer: 510*n**3*p + 2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*l = 86, 38 = w + 2*l + 9. Calculate the remainder when 160 is divided by w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26720 (base 8) to base 16\nAnswer: -2dd0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((3263745\/(-30))\/17)\/(1\/(-2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b1 (base 12) in base 14?\nAnswer: -97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 3d?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of m**8\/168 + 1511*m**6\/120 - 119*m**4\/8 + m**2 + 5*m - 53. What is the second derivative of p(o) wrt o?\nAnswer: 40*o**3 + 9066*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, h: 2, l: 14}. Give prob of picking 3 l and 1 h.\nAnswer: 26\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-2)*(3 + -2). Find the second derivative of -q**l + 2*q**3 + 5*q - 2*q**4 - q**3 wrt q.\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 68 + -63. Solve -2 = -d - k for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -7*p + 129. Let h be w(16). Let d(m) = -m**3 + 18*m**2 - 17*m - 25. What is d(h)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 201, 1581, 5323, 12609, 24621?\n\"Answer: 197*w**3 - w**2 + 4*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-104*n**4 + 327*n**4 + 105*n**4)*(0 + 6 + 0) - 2*n**4 - 2*n**4 + 5*n**4.\nAnswer: 1969*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -100110100100 (base 2) to base 16\nAnswer: -9a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 10443*s + 6. Let y(u) = -34827430*u - 20009. What is -20009*f(w) - 6*y(w)?\nAnswer: 10593*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**2 + 12*m + 61. What is q(-4)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/45)\/((-3)\/9)*-462. Solve -309*j + 1 = -p*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2. Let r be q(3). Let m = r - -13. Suppose -l + 2*l - m = -v, 3*l = v + 12. Let h(o) = -o**3 + o**2 + o + 2. Give h(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15120 and 1312335.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -542 + 524 = -6*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 531027 and 12272624.\nAnswer: 110453616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u + 4*u - 6 + 0 + u**2.\nAnswer: u**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -207*(4 - 6\/(-3 - -5)). Let u = 200 + g. Is -6 at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/1*(-4 + -1 + 6). Let u(x) = -x**3 + 3*x**2 - x + 1. Let k be u(2). Let s be ((-63)\/12)\/k - a. Sort 3\/5, s, 3\/2 in descending order.\nAnswer: 3\/2, 3\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*l*z**3 + l*z**2 + 1435*l + 38442*z**3 - 3*z**2 - z wrt z?\nAnswer: -48*l + 230652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36115713 is divided by 435129.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by -73.\nAnswer: -14\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*l + 7*l + 48*l)*(73 - 73 + 4*l**2)*(4*l - 3*l + 0*l) - 4*l**3 + 2*l**4 + 4*l**3.\nAnswer: 114*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -541\/15 - -107\/3. What is the second smallest value in p, 0, 1.1, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 13*w + 14. Let y be h(12). Let i be (y\/4)\/(3\/30). Suppose i*a + 10 = 50. Solve a + 7 = 3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 11:05 PM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-22)\/(-6))\/(5\/15). Let v(t) = 13*t - 4. Let y(h) be the third derivative of -7*h**4\/24 + h**3\/3 - 3*h**2. Give x*y(n) + 6*v(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*s - 355 = -45*s + 3376 + 2041 for s.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000059029 rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*s**2 + 36*s**4 - 7*s**2 + s**2 - 2*s in the form j + d*s**2 + m*s + x*s**4 + k*s**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 5, 2 in ascending order.\nAnswer: 2, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -240340 by -48068.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3321 + -433203111?\nAnswer: -433144240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 6*r**2 + 8*r - 1. Let v be u(7). Suppose 16 = g + v. Let o(t) = 10*t - g*t - t**2. Let p(c) = -c**2. Determine o(p(s)).\nAnswer: -s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 2*z + 28, 2*z + 13*z - 3*a + 91 = -4*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3645*w + 1. Let l(a) = 2*a**2. Give m(l(y)).\nAnswer: -7290*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 8) in base 10?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4 + 2*n**3 - 5*n**2 - 6*n.\nAnswer: n*(n - 2)*(n + 1)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**2 - 2*p**2 + 4*p**2 - 18*p + 18*p - 22*p**2 - 2*p**2 - p**2 + p**2 + (0*p + 2*p + 0*p)*(p + 0*p - 2*p).\nAnswer: -28*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14206*z + 56 + 40 = -3*q + 14204*z, 96 = -3*q + 32*z for q.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -427*r - 44*r**2 - 115*r**2 - 425*r + 827*r wrt r.\nAnswer: -318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 79544.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 637*a - 122*a + 131*a + 43922 = 8392 for a.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1994, 0, -2, -1 in decreasing order.\nAnswer: 0, -1, -2, -1994","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 + 33. Suppose l = y, u + 2568 = 6*u - l. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 386 + 30?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-5 - -8) + -11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15363 and 9?\nAnswer: 15363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7847 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(2\/31)*o)**23\/(o**20\/(o\/(o\/(o**36\/o)))) assuming o is positive.\nAnswer: o**(1937\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 421, 837, 1249, 1657, 2061, 2461?\n\"Answer: -2*p**2 + 422*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*j**3 - 252*j**3 + 108*j**3 + 109*j**3.\nAnswer: 53*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*(-2 + (-14)\/(-4)). Let s(o) = o + 2*o**2 - 6 - 7 + d. Let u be s(-3). Calculate the highest common factor of 121 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -505 - -504. Let u be 3*28\/(-42)*m\/(-2). Suppose -2*h = -3*v + 6, 4*v + 11 = -h + 30. Put u, 17, v in ascending order.\nAnswer: u, v, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o. Let q(d) = 2*d - 177. Let l(z) = 2. Let a(g) = -2*l(g) - q(g). What is a(x(h))?\nAnswer: -10*h + 173","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8578, -16985, -25394, -33805?\nAnswer: -42218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 15*h**2 - 13*h - 14. Let s(d) = -31*d**2 + 26*d + 30. Let r = -559 + 563. Let a(n) = r*s(n) + 9*b(n). Find the second derivative of a(f) wrt f.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 169467, 169457, 169429, 169377, 169295, 169177?\n\"Answer: -h**3 - 3*h**2 + 6*h + 169465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(4 - 2) + 9. Let h(t) = -t**3 + 7*t**2 - 3*t - 14. Let j be h(d). Suppose j*m = m + 3. Solve 5 = 2*v + m for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -e01?\nAnswer: -dee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1967 divide 521906077?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*c - 6*c - 2*c.\nAnswer: -41*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 810 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*x - 2, -q - 2*x + 23 - 19 = 0. Solve m - q = 3*w, w + 2*m = -9 - 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/(-3))\/6)\/(-1)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 107 - 72. Suppose g - 16 = -3*g. Let w = 1 + g. What is the highest common factor of w and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*(6 + (-555)\/20 + (-5)\/4). Calculate the greatest common factor of d and 2829.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2079\/8 or -260?\nAnswer: -2079\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5497*o**4*z + 880*o**2*z - o*z + 3*o - 25*z - 719 wrt o.\nAnswer: -65964*o**2*z + 1760*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63.228178 - 65.2282. Let n = 0.03 - 2.03. Let y = n - j. What is y rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pbb when three letters picked without replacement from bbpbbbbpbbbbbp.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6)\/(8905\/1282320)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-37\/4)\/((g*g\/g**(1\/4)*g*g)\/g) assuming g is positive.\nAnswer: g**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b7 (base 16) to base 11.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1219 and 27100.9?\nAnswer: 25881.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 11 = -9. Let t(a) = o*a + 5*a - 5*a - 21. Let z be t(6). Solve -y + 4*y - 12 = -z*w, -19 = -4*y - w for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 3, 2\/11, 1, 2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 z when three letters picked without replacement from {v: 2, z: 2, b: 4, t: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -3*g - 1\/3*g**4 + 0*g**3 + 0*g**2 + 0. Let z(m) = 0. Calculate m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16699 (base 12) to base 7.\nAnswer: 162354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -672462, -672459, -672456?\n\"Answer: 3*y - 672465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/10)*w)\/w*w\/w**(-3\/16)*w**(-1\/6)\/w**12 assuming w is positive.\nAnswer: w**(-2563\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2597 - -2600.074. Let i = k - 0.074. Suppose 0 = -3*u - 2*u - 10. Which is the third biggest value? (a) i (b) u (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 94 = 3086. Let o = -669 - d. Sort o, -1, -2 in descending order.\nAnswer: -1, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353.096 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 3. Let i = -2.1798 + 0.0498. Let b = i + 2.53. Put s, b, 1\/2 in decreasing order.\nAnswer: 1\/2, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1364 = -414*u + 345*u + 292 for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5624.7237 rounded to the nearest 100?\nAnswer: -5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-24)\/63)\/(-4))\/(7812\/22320*(-32)\/(-49))?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/6)\/(1\/(-3)). Let h(g) = 15*g**2 + 83*g - 6. Let n be h(-6). Let z(i) = 2*i**2 - 67*i - 175. Let l be z(n). Solve l*j - 1 = r for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 685210 and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 129 + -113. Calculate the remainder when 77 is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 2 + -13 + 10. Let m(z) = -12*z**3 + z**2 - 3*z - 3. What are the prime factors of m(h)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**14\/w*w**(-4\/9)*w*w)**(-3\/23))**(-13\/3) assuming w is positive.\nAnswer: w**(1703\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/(-91))\/(2*(-2)\/(-7)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 7*r**2 - 291. Let c be j(-33). Calculate the greatest common factor of 65 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 720 divided by -10?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1))**(1\/21)*(n**(-3)\/n)**(-12) assuming n is positive.\nAnswer: n**(1007\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1065 + 1062. Let d = -3 - -3.5. What is the smallest value in -2, d, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/4978440 and 3\/553160.\nAnswer: 4978440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3231 - 1782. Let n be ((-7896)\/20)\/(4\/(-15)). Let t = n - c. What is the common denominator of t and 75\/26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s**2 + s + 1. Let q be ((-16)\/(-12))\/(4\/(-6)). Let w be j(q). Let i be (-118)\/(-7) - 26\/(-182). Solve -3*b + h - w = -0*h, -h = 5*b + i for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus 1745?\nAnswer: 1741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 7*j**2 - 8*j + 12. Let i be z(6). Suppose i = 2*c + 2*w, c + 2*w + 6 = 3. Let p = 246 - 243. Solve 2*f - 2 = -5*x + 1, -c*x = p*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 504 = -8*a + 16*a. Suppose 7*j - 931 = a. Is 12 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(2\/5)*t*(t*t*t**(-2))\/t*(t**(-5)*t)**(-26) assuming t is positive.\nAnswer: t**(527\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(11)*6 + sqrt(44)\/sqrt(4) + 0)**2.\nAnswer: -28*sqrt(11) + 543","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 4*o + 12. What is m(5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 2, q: 2, d: 1, u: 1, j: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1614, 3227, 4852, 6495, 8162, 9859, 11592, 13367?\n\"Answer: g**3 + 1606*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 5*v - 4 - 3 = 0, -4*o = -2*v - 14. Suppose -o*x + 4*x + 3*q - 2 = 0, -4*q + 6 = 3*x. Suppose -u - 2 = -x*u. Put 3, -4, u in descending order.\nAnswer: 3, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3 + -4*1*sqrt(1300))**2.\nAnswer: 560*sqrt(13) + 20849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 190023 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*a - 50 = 18 + 97 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 11 = 5*q, 4*q + z + 60 - 57 = 11 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.8, -0.5, -3 in decreasing order.\nAnswer: 0.8, 0, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 5*t - 40, 0 = 4*c + 5*t - 7*t - 2. Let o(g) = -7*g - 3. Let d(k) = -21*k - 8. Let r(s) = c*d(s) - 8*o(s). Let j(n) = -n**2. Determine j(r(q)).\nAnswer: -49*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 12*n**2. Let q(t) be the third derivative of -t**7\/2520 + t**4\/12 - 3*t**2. Let v(b) be the second derivative of q(b). Determine j(v(f)).\nAnswer: 12*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4*p. Let r(s) = 2*s. Let j(t) = -2*a(t) - 5*r(t). Let w(v) = -4*v**2. What is w(j(b))?\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -55553349.77 and -0.8773?\nAnswer: 55553348.8927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(7\/(-101598)) + -5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 117165642 * -0.3\nAnswer: -35149692.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24462 a multiple of 151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = -4*t + 924. Suppose 0*w = w + t. List the prime factors of ((-6)\/(-16)*22)\/(w\/(-224)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**12\/j**33 assuming j is positive.\nAnswer: j**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + j**2 + 2. Let d be p(0). Suppose d*z = 3*v - z - 6, -4*v = 4*z - 16. Let x(h) = v*h + 0 - h + 0. Let t(a) = -a. Give t(x(o)).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + t - 8. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zrleilg. Give prob of sequence il.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1955 - -1959. Let i = 0 + 0. Which is the third smallest value? (a) n (b) i (c) -38.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 695*i + 22 - 662*i.\nAnswer: 33*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18 + 3?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3fee3 + 5?\nAnswer: 3fee8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 240 and 320.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6e9d (base 15) in base 12?\nAnswer: 11764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43056941 - 18072040. Let t(y) = 860614*y**3 - 4*y**2 + 3*y - 1. Let s be t(2). Let z = s - f. What is z rounded to the nearest one million?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.22584427 to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = 4*s + 2*a - 43, 58 + 178 - 48 = -2*s - 24*a for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -111011111110 (base 2) in base 13?\nAnswer: -1993","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23526 is divided by 3918.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 296190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29 - 13*h**2 + 29 to the form n*h + u + c*h**2 and give c.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 7\/9) + (-64)\/(-36). Let a be 1113\/(-42) - ((-3)\/l - -1). Let j = -32 - a. Which is greater: -8 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 36*k - 3. Let m(u) = 2*u**2 - u + 1. Let f be m(1). Let t(s) = 18*s - 2. Let j(q) = f*i(q) - 5*t(q). List the prime factors of j(-2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3185699210 to the nearest 100000.\nAnswer: -3185700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 1. Suppose -q + 6*q - 250 = 0. Let h be (4\/(-10))\/((-5)\/q). Solve -2*n - 2 = -h*v, -5*n + j*n - v = 16 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 8*n**2 - 8*n + 8. Let v(z) = -z**2 + 9*z - 9. Let y be v(7). Let l(w) = w**2 - 3*w - 3. Let s be l(y). What is the units digit of q(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/30)\/((-168)\/3360)*(-5)\/(-30)*-1?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -884260 to the nearest one thousand.\nAnswer: -884000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11.212201 and -0.12.\nAnswer: 1.34546412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102 - 40 = 31*p + 137 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 54*z**5 + 37246*z**4 - 150*z - 2795.\nAnswer: 1080*z**3 + 446952*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05177716075 + 2.52.\nAnswer: 2.46822283925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + f + 1. Suppose -5 = -a - 2. What is s(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008409 to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 1071.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1416109\/15 + 474282\/5. Let c = -449 + j. Find g, given that c*g + 2\/3*g**2 - 2\/15*g**3 - 2\/3 = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, -134, -180, -226, -272, -318?\nAnswer: -364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-12) - 45\/(-12). Sort 10, -5, q, 1 in descending order.\nAnswer: 10, q, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -13*n**2 - 12*n + 23. Let x = 33 - 37. Let g(w) = 7*w**2 + 7*w - 12. Let j(p) = x*a(p) - 7*g(p). What is the units digit of j(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -34046115, -34046113, -34046111, -34046109?\n\"Answer: 2*o - 34046117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67557 is divided by 1732?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2. Let z(r) = -445*r**2 - 6*r - 2. Let q(n) = -n**2 - 3*n - 1. Let b(j) = 2*q(j) - z(j). Determine s(b(y)).\nAnswer: 392498*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -15) + (5 - 13 - 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1008 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c - 108?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + z)*(-1 + 2264 - 8353 - 37*z + 27 + 30*z).\nAnswer: -7*z**2 - 6063*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10510 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -4 + 8 + u - 2*u**2 - u - 7*u. List the prime factors of x(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/16 of a millennium?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**5 + i**5 - 3*i + 2*i + (-52*i**4 + 57*i**4 - 44*i**4)*(1 - 1 - 2*i) + 2*i**5 + 0*i**5 + 0*i**5.\nAnswer: 79*i**5 - i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 112 divided by 298789\nAnswer: 112\/298789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 7:54 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 173 = p + 25, 148 = p - 5*c. Let r = p - 258. Let w = -67 - r. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, -2231, -8288, -20215, -39968, -69503?\nAnswer: -110776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 1130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4170 is divided by 202.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10*(2 - 16\/10). Suppose -4*z = -0*z + 20. Let g be 20\/(-50) + (-2)\/z. Solve 5*m - 10 = g, -w*m - 10 = 5*v + m for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 29983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7*-2 - (-2600)\/400)\/(2\/4).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a kilometer in meters?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**3 + 12*c**2 + 7*c + 1. What is the remainder when 79 is divided by l(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350*i = -177*i - 1730 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -112?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8596727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000729 rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 188*u - 417*u + 1035*u + 1242*u to the form b + l*u and give l.\nAnswer: 1672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-8\/3)\/(v**(-30)*v*v) assuming v is positive.\nAnswer: v**(76\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 148093 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: Let g(s) = -6*s**2 - 18*s + 6. Let f be (36\/(-4))\/((-3)\/2). Let x be g(f). Let l be (-65)\/x + (-3)\/18. Is 1 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6699\/42008 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -110 + 248. Suppose z = 4*z - p. List the prime factors of z.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 253, 320, 387, 454, 521?\n\"Answer: 67*z + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 114?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 159*a - 2656. Determine n(17).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34837*a + 69674*a - 34840*a.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 486.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + 0.4. Which is the nearest to 0? (a) 0.4 (b) 2\/19 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3134, -1\/9, 2\/7.\nAnswer: -1\/9, 2\/7, 3134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*v - 8, 2*y + 0*v + 4*v = 24. Put y, -2, -3 in decreasing order.\nAnswer: y, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 19*c**2 - 1. Calculate the lowest common multiple of 16 and x(-1).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.02 - -0.02. Let r = -0.03 - w. Let x = 1.97 - r. Is x at most as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 65.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/(-12))\/(-6 + 5). Solve q = -4*v + 3*p - 17, 3*v + 5*p = 9*p - 18 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -704\/2043?\nAnswer: -704\/2043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -551583.8 to the nearest ten thousand.\nAnswer: -550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2 - 25*h + 21. Determine n(11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (16*((-138)\/(-20) + -7))\/(18\/10)\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 305803178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*o - 5*q, -5*q + 10 = -o - 0*q. Let w be (-4)\/(-1)*(o + -4). Let f = -91 + 91. Solve 0 = -3*r + j, w*r + 4*j - 7*j - 5 = f for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of 20*w**8\/21 + 104*w**7\/21 + 19*w**6\/6 - 145*w**5\/12 + 55*w**4\/6 - 10*w**3\/3 + 3*w**2 + 1. Determine n so that a(n) = 0.\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 5:45 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 3*b - 9 = 0, 2075*o + 4*b + 724 = 1887*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/6 or 702?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3*g - 15 = 0, 4*w + 4 - 16 = -4*g. Let u be 3*((-4)\/3)\/w. Suppose 0 = p - 3 - 0, u*h - 3*p = 123. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - -5 - (115 + -107)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4947c0 (base 16) in base 14?\nAnswer: -8d0276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*v = -25*v - 18. Calculate the remainder when (2\/10)\/(10\/25)*50 is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1100)\/16)\/((-1750)\/(-560)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 5*b**2 + 5*b. Let i(q) = q**2 + q. Give -5*i(y) + n(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.32 (b) 14.4 (c) -12 (d) 2.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -899*h = -890*h - 468. Solve h = -11*j + 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tyygyygyttyyyyyttt. What is prob of sequence tg?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 296 = -2*r, 0 = 6*r - 3*r. Calculate the remainder when x is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.08768 millennia in months?\nAnswer: 121052.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1196533 is divided by 70383?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8112 - 8496 = -8*o. Suppose -5*d + 3*d = -94. Suppose 3*c - d = 2*v, 4*v + v = 4*c - 72. Calculate the remainder when o is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*t + 5*k, -10 = -t - k + 4*k. Let i(v) = -1 - 4*v - v**2 + 3*v**3 - 4*v + 17*v - t*v. Give i(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 5)*(-4 + 3 + 2)*(1 + 1 - 6*j - 12*j).\nAnswer: -108*j + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 74 - 50. Let c be (-8 + 63\/r)\/((-1)\/2). Put 1, c, -2.5 in decreasing order.\nAnswer: 1, -2.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((0 - 6) + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from tvvvttvttttv.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 89*k**2 - 237*k + 56. Is 3 a factor of w(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19584 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4648 minus 294.9023?\nAnswer: 4353.0977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g**3 + 3*g**3 - 3*g**3 + (-5*g**2 + 2*g**2 + 2*g**2)*(1 - 1 + g) - 25 + 25 - 15*g**3 as z + o*g**3 + i*g**2 + r*g and give o.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16624859 and 5053.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 493713108 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 10*m**2 + 117*m - 119. Give s(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/14)\/((-4290)\/(-120900)) - -4?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/25*(-10)\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 4*s = -14, -4*m + 3*s + 29 = 6. Calculate the remainder when 37 is divided by m\/4*20\/1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 + 0*p**2 + 0*p**2)*(1 + 7 - 2)*(-30 + 35 + 54).\nAnswer: 708*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -743 = 3*m - 2*x, -3*m - 5*x - 1280 = 2*m. Let n = m + 356. Suppose 0 = -3*o + 4*d + 180, -5*o + 160 = 5*d - n. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 254, 5, 19, 4, -4, -13.\nAnswer: -13, -6, -4, 4, 5, 19, 254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -4*s**3 - 24\/5*s**5 + 0*s**4 + 0*s - 23 + 0*s**2. Find the third derivative of y(o) wrt o.\nAnswer: -576*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 176*(-18)\/(-4104) + (4\/3)\/((-722)\/57).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*i + 41*i - 20. Suppose 3*f = i*p + 74, -3*f = -4*p - 0*p - 76. Suppose -4*y = -0*y - f. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1025188 + -732275. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5*p - 6. Calculate d(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 48 = -3*y. Let z = y - 8. Suppose -z*o = -7*o. Solve o = w - 3 - 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 3924 - 3861. Suppose -2*n - 6 = 0, -2 = 3*k - n - 14. Suppose 0 = 2*v + k*v - 110. What is the remainder when v is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15607, -31236, -46887, -62572, -78303?\nAnswer: -94092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 217806611?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15473 + 16059. Which is the second biggest value? (a) 2\/5 (b) -2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 481 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 836 is divided by 160.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i - 3. Let a be j(-6). Find the common denominator of (a\/80)\/(6\/(-404)) and -49\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -1314655?\nAnswer: -1314661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)\/r)**(-20)*r**(-1\/11)\/(r\/(r*(r\/r**(-2\/5))\/r)) assuming r is positive.\nAnswer: r**(2217\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003193 rounded to four dps?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5365098*x**3 - 1335*x**2 + 263*x wrt x.\nAnswer: -32190588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (102\/(-9))\/((-66)\/1188). Solve 212*i = v*i + 8 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 566.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.6 + -0.635. Let m = 0.03557 + f. Round m to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -25 - (-1 + -3 - -7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*g**4 + 280*g**3 - 2*g**5 - 280*g**3)*(26 - 10 + 20).\nAnswer: -72*g**5 - 648*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 309879 and 207?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2494 is divided by 1467.\nAnswer: 1027","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 b when three letters picked without replacement from {j: 1, b: 3, g: 1, i: 4, y: 2, k: 1}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2574 and 715?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j**2 - 6. Let p(q) be the second derivative of -5\/2*q**2 - 1\/4*q**4 + 0*q**3 - 13*q + 0. Determine 6*p(c) - 5*u(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26\/7 in 0.5, -76, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 52903 divided by -52903\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 175724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -330 times -1.1\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*s = 12*s + 10781400. What is s rounded to the nearest 10000?\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -69105680*d + 505676088 wrt d?\nAnswer: -69105680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 k when four letters picked without replacement from kkwwwkwwwwkwkkkw.\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.51742 greater than or equal to -60?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11*(0\/1 + 1). Suppose -2*x - 3 = -p. Suppose -12 = -0*t - x*t. What is the smallest value in -0.1, t, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.75 - -48.75. Let l = -1.07 + 44.07. Let j = f - l. What is the smallest value in 7, -5, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(2\/3)*t*t)**(-18\/7)*t**(2\/15)\/(t\/(t*t\/(t**26\/t)*t)*t))**(-1\/18) assuming t is positive.\nAnswer: t**(224\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 14*c**2 - 45*c + 10. What is d(3)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18629.\nAnswer: 13, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1193 divide 112774522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -10*d - 7. Let q be s(17). Let j = q - -173. Which is smaller: -27\/10 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2664 = 4*p - 3*o, -6*p - o - 2664 = -10*p. Let c = p - 656. What is the remainder when c is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -9*i**7\/14 + 9*i**6\/5 - 6*i**5\/5 - i**4\/2 + i**3\/2 - 14*i. Suppose b(s) = 0. Calculate s.\nAnswer: -1\/3, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10, 34, 70, 118?\n\"Answer: 6*x**2 + 6*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*i + 22*i + 6. Find the third derivative of d**3 - 10*d**2 + 9*d**5 - 17*d**i - 14*d**2 + 11*d**2 wrt d.\nAnswer: 540*d**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 254*m**2 + 3100*m?\nAnswer: 508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i + 3. Let v(r) = -r - 1. Let p(g) = 6*k(g) + 6*v(g). List the prime factors of p(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 4:38 PM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**3\/5 - 17*x**2\/5 - 129*x\/5 - 207\/5 = 0.\nAnswer: -3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2430039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*u = -2*i + 744, 0 = -4*i + 4*u + 1472. Suppose -2*g - 2*x = -i, 2*x - 849 = -3*g - 307. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*-82246.73.\nAnswer: -657973.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttewtettetetee. What is prob of picking 1 e and 1 t?\nAnswer: 15\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 6:36 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5*o**2 + 1. Let a(t) = 312*t + 16. Let f(p) = -124*p - 7. Let z(g) = 2*a(g) + 5*f(g). Determine r(z(w)).\nAnswer: 80*w**2 - 120*w + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6+442390754\nAnswer: 442390748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 7*i**2 - 3*i + 41. Calculate q(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11745, -12485, 5 in increasing order.\nAnswer: -12485, 5, 11745","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000623 to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11018441909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/8 + 5*r**2\/2 - 6*r - 72.\nAnswer: -(r - 12)**2*(r + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus -872?\nAnswer: 873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -46. Let o(p) = -4*p - 13. Let n(s) be the third derivative of -s**4\/24 - s**3\/2 - 5*s**2. Determine t*n(i) + 6*o(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/6630 and 69\/60775.\nAnswer: 364650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -7\/3*j**3 - 145*j - 11\/2*j**2 - 265. Differentiate g(p) with respect to p.\nAnswer: -14*p - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16289597.\nAnswer: 16289597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 79 = -3*z + g, -g = 1. Let d be (-2 + z\/(-10))*0. Suppose p + d*f = -2*f + 76, 9 = -3*f. List the prime factors of p.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f - 1. Let m(b) = -2*b**3 + 4*b**2 + 8*b - 4. Let v be m(3). Let q be ((16\/(-6))\/v)\/(2\/(-3)). Let y(o) = 8*o + 6. Calculate q*y(t) + 12*d(t).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0318 to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43060)\/(-2153) - ((-8196)\/272)\/(-3)*2?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 575214 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1643 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - f + 8. Let v(g) = g**2 - 9. Let x(h) = -3*s(h) - 2*v(h). What is the units digit of x(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - g**3 - 121*g + 15 - 2*g**2 - 115*g + 233*g to j*g + k*g**3 + b*g**2 + c and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/41976 and 41\/5820.\nAnswer: 20358360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12254 - -3.2.\nAnswer: 12257.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 + 26. Let d(q) be the first derivative of -2\/3*q**3 + p*q + 0*q**2 + 1. Determine d(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*a + 1393740 - 4487720 = 0, 4*n + 12376020 = -4*a. What is n rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15758079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 equal to 310?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 3794, 2 in increasing order.\nAnswer: -3, 0, 2, 3794","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9240 and 34760.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -b - 5*h, h + 7 = 2*b + 2*h. Suppose -6*r = -2*r + 18*r - 154. Solve -r*y - 10 = -b*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 61, 187, 379, 637, 961, 1351?\n\"Answer: 33*n**2 + 27*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23)\/28 + -2 + (-63)\/(-28)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 3:24 AM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -681886375339 + 28?\nAnswer: -681886375311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17.264 - -16.964. What is the nearest to -1 in 113\/5, -3, -4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6.48 and 0.0377.\nAnswer: 6.5177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -81 + 111 + (11 - 32) + -24\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 5*m + 1. Let d be u(-4). Let w = 8 + d. Suppose 0*p - p = -3*a + 7, -5*p + 41 = 4*a. Solve 0 = -p*l - y - 21, 13 + 17 = -2*l + w*y for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(2\/9))**34*h\/(((h**5\/h)\/h)\/h)*((h**(1\/5)\/h)\/h)\/h assuming h is positive.\nAnswer: h**(1699\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1038, 1052, 1092, 1170, 1298, 1488, 1752?\nAnswer: 2102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 324842000*m**2 + 254368582*m.\nAnswer: 649684000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 15) in base 11?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 680177044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n**3 + 2*n**2 - 22*n + 93. Is w(6) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 + -31. Suppose -2*y = -7 - v. Calculate the least common multiple of 9 and y.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -52 - 8b?\nAnswer: -dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 l when three letters picked without replacement from {z: 2, d: 1, i: 3, j: 1, l: 6, g: 2}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -90 + 32. Let t = 479 + -475. Which is the second smallest value? (a) g (b) -4 (c) -3 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffuuf. Give prob of picking 2 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -76 or -83?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.09 (b) 8027 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(80) - sqrt(80)*-1*2 - 2*sqrt(80)*3).\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 6)*(2 - l - 2)*(-38*l + 38*l - 12*l**2) as s*l**3 + m + h*l + c*l**2 and give s.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 91023, 91022, 91021, 91020, 91019, 91018?\n\"Answer: -s + 91024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 5)*(-1 - 3*a + a - 1).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 116 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 25 = -0*o + 5*b, -11 = -o + 3*b. Solve -4*x + 2*w + 13 + o = 0, 5*w + 33 = 4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - m = -29 + 23, 0 = 2*i - m + 6. Solve -a + 15 = 4*d, -52*d + 57*d + 5*a = i for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -619, 1, -14, 3.\nAnswer: -619, -14, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2956553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 25 = 0, 5*y - 5*u = -4*u - 5. Solve d + 7 - 8 = y for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3 = -11. Suppose -o*x = 4*g - 46, x = 5*x + 20. Calculate the highest common factor of g and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23847313?\nAnswer: 7, 3406759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 261. Let n(w) = 52. Let d(q) = -a(q) + 5*n(q). Let y(r) = -21*r**3 + 6. Give 6*d(b) + y(b).\nAnswer: -21*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -3*b - 3\/4*b**4 + 0 - 4\/3*b**3 + 4*b**2 - 1\/20*b**5. Does 8 divide o(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1119683 and 1115.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5696.206 decades?\nAnswer: 683544.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4206689937263 and -0.02.\nAnswer: -0.4406689937263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5726503293?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26795376*b**5 + 84*b**2 + 58715*b wrt b?\nAnswer: -1607722560*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 558642.4 millennia to months.\nAnswer: 6703708800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002001 + -12?\nAnswer: -1002020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-4)*((-108)\/3150)\/(40\/(-112))\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Round -154695.37 to the nearest 10.\nAnswer: -154700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**2 + s**2 - 2*s**2 + (1 + 2 - 1)*(-3*s**2 + 0*s**2 + 2*s**2) - 1 + s**2 + 1.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -5, 2, -10\/127, 1\/106, 1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - y - 36 - 23 = 5*m, -16*m - 227 + 69 = -5*y for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 201624145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19409391?\nAnswer: 3, 2156599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 130\/4 - (-2)\/(-4). Let p = -126 - -149. Suppose c + p = l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1761162907 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 666 (b) -1.4 (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 33302100 (base 4) to base 10\nAnswer: 64656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 136.5287 to 1 dp.\nAnswer: 136.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l - l**3 - 6651 + 6651 + 2*l.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 18 (b) 0.02 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - (sqrt(104)*-1 - sqrt(104)))*-3 + sqrt(104))\/(sqrt(56)\/sqrt(28)) + (-5 + sqrt(1053) + 1 + sqrt(1053) + -5 + 1*sqrt(1053))**2.\nAnswer: -502*sqrt(13) + 9558","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**4*q)**33\/(((q\/(q\/(q**(-28)\/q)))\/q)\/((q\/q**(-40))\/q)) assuming q is positive.\nAnswer: q**235","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000068263 to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -58 - -90. Suppose 2*g = -5*l - c, 2*l - 2*g + 4 = -5*g. Let b = l + 5. Is -10\/3 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/1*(-408)\/(-36). Suppose 4*k - h = -4*w, 2*k - 171 = -2*k + 3*w. Suppose k = g - 28. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n**2 + 4*n + 4. Let y(x) = -5*x**2 - 3*x - 3. Let v(p) = -3*y(p) - 4*z(p). What is v(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4941954657?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -0.1, 5 in decreasing order.\nAnswer: 5, 4, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i + 27740 = -562822. Suppose 0 = -4*c + 2371 + i. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 148871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - 2*sqrt(5)*5)*-6 + sqrt(80) + -1 + (sqrt(5) - sqrt(15)\/(sqrt(3) + sqrt(3)*1)))**2.\nAnswer: -117*sqrt(5) + 68449\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.163 - -30.163. What is the nearest to -1 in r, 1\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -26\/656211?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**3 + 11*y**2 - 18*y**2 + 12*y**2 - 3*y**2 - 111*y**4 - 36*y**4 - 2 to the form f*y**3 + t + d*y + r*y**2 + v*y**4 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -2*k - 3 + 17, -f = -k - 5. Solve 5*u + f = u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*r + 834 = 1995, m + 3*r = 1165. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/2 - (7 + (-230)\/20). Let m(f) = 6*f - 4. Let s(t) = 5*t - 3. Determine i*m(d) - 4*s(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 91 and 426 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 26387165 a multiple of 1746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 27588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -271, -2159, -7277, -17239, -33659, -58151, -92329, -137807?\n\"Answer: -269*u**3 - u**2 - 2*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -9*i**2 + 676*i - 1. Let b(u) = 2307*u. Give b(y(p)).\nAnswer: -20763*p**2 + 1559532*p - 2307","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 131*q**2 - 10*q - 3. Let t be w(1). Which is the second biggest value? (a) -1 (b) t (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*3*(-3 + 4). Suppose -j - 2 = -s*j. Put 5, 4, j, -3 in ascending order.\nAnswer: -3, j, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47 - -50. Let z = k - -23. List the prime factors of z.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m + 2. Let c(n) be the third derivative of n**4\/8 - n**3\/2 + 30*n**2. Give -3*c(f) - 4*w(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65260104 by 273.\nAnswer: 239048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.8 - 1. Let a = -6 + 6.4. Sort a, 4, o in decreasing order.\nAnswer: 4, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 10 = 10. Let n be 3522\/w + 4\/(-10). Let k = n - 493. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18671385, -18671384, -18671383?\nAnswer: -18671382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 y, and 1 g when four letters picked without replacement from gygyi.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -f - 13, -3*z - 2*f + 0*f + 10 = 0. Suppose 3*o - z*o = 0. Which is the third smallest value? (a) 0.1 (b) -0.04 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*17\/(-663)*3.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 6.162.\nAnswer: 30.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129149 + 129254 - 3*b**3 - 258241.\nAnswer: -3*b**3 + 162","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of 0 - 49\/3*m**3 + 0*m + 15*m**2 - 1\/30*m**5 + 7\/6*m**4. Factor s(a).\nAnswer: -2*(a - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-35 + 7 - -29)*(-2)\/(-10)*-3\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 11:42 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 6*j + 5 = -j, -2*j = 2*r - 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149 = -13*h - 235 + 112 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-2)*(21\/6)\/(-7). Let f(b) = -b + 281. What is the tens digit of f(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 442 = 44*u - 30*u - 48*u for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 10*y - 1428 = 5*y, 0 = 4*y. Suppose 25*r - w = 18*r. Is r a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zrzzzzzprzprzrrrzz. Give prob of sequence pr.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence arms when four letters picked without replacement from srssrssassmss.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1580058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/3 - 24908*a\/3 - 155102116\/3.\nAnswer: -(a + 12454)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -831 - -837. Solve 3*z - y = 3*j, -4*z - 4*j + 19 = z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**3*l**(-1)*l)**13)**(-2\/53) assuming l is positive.\nAnswer: l**(-78\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6*(-2)\/48)\/((-2)\/(-1576)). Find the second derivative of 197*y - 370*y + l*y - 54*y**2 wrt y.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27\/33 + (-4)\/(-22)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 12 - 32 = -5*s, 0 = -2*s + 2*y - 8 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(2\/25)*x**2*(x*(x\/(x\/(x**(4\/3)\/x))*x)\/x)\/x**(-1))\/((x**(2\/7)\/((x*x**7\/x)\/x))\/(x**2)**(-34)) assuming x is positive.\nAnswer: x**(-29942\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -482*l**6 - 736*l**2 wrt l?\nAnswer: -57840*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 168 and 17688?\nAnswer: 123816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25978833?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -142212?\nAnswer: 142214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**4 + 16*g**3 - 28*g**2 = 0. Calculate g.\nAnswer: 0, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 0*z**3 + 1\/10*z**4 - 1\/50*z**5 + 0 - 4\/5*z**2 + z. Factor i(m).\nAnswer: -2*(m - 2)**2*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-15)\/(2625\/(-40)))*48\/96?\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 + -69. Let r = 32.672 + -61.698. Let d = v - r. What is d rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 712.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**6*(q**(-1)*q)\/q)**(3\/23) assuming q is positive.\nAnswer: q**(-18\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 4*h - 3. Let m(q) = 4*q**2 - 17*q - 12. Let t(w) = -2*m(w) + 9*x(w). Let b be t(-1). Solve b = -4*r + 5*k + 35, 3*r + k = r + 7 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -0.5, -1, 5, -6 in decreasing order.\nAnswer: 5, 2\/5, -0.5, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 2)*(0 + 5 - 4)*(-3011787 + 4380*t + 3011787).\nAnswer: -4380*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -30*s - 2638. Let h be k(-88). Let j(n) be the second derivative of -11\/6*n**3 + 0 - 4*n + 5*n**h. Differentiate j(z) wrt z.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(3\/(-7320)*2). Suppose -b = 4*u - 14*u. What are the prime factors of (-9)\/2*(u\/(-6) + 1)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -405079 - -1215242\/3. Factor -1\/2*x**3 + 8\/3*x**2 - 23\/6*x + j.\nAnswer: -(x - 1)**2*(3*x - 10)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 q, and 1 u when four letters picked without replacement from {u: 4, v: 1, m: 2, i: 7, q: 2}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p**3 - 235*p**2 - 5439*p - 49. Calculate l(64).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2619)\/18915*(-45)\/27.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 86 (b) 0.07 (c) -4 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b - 4128*b**3 - 1210*b**3 + 4*b**2 - 2 - 5*b.\nAnswer: -5338*b**3 + 4*b**2 - 9*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-90)\/(-12))\/(((-36)\/(-51))\/(-4)). Let n = k - -45. Factor -n*z**4 + 0*z - 5\/2*z**5 + 0*z**2 + 0*z**3 + 0.\nAnswer: -5*z**4*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - c = -5, 3*c - 2 - 8 = 4*i. Is i*(-1)\/(2\/2426) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (18 - (-1 - (-6 + -2)))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 400a99 (base 12) to base 14\nAnswer: 1bd421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, s: 1, p: 4, x: 2, m: 5, j: 4}. Give prob of picking 2 m, 1 x, and 1 p.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -69 and 0.9269?\nAnswer: -63.9561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 114 and 200.\nAnswer: 11400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2451, 2283, 1995, 1587, 1059, 411, -357?\nAnswer: -1245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.607136 minus -326592?\nAnswer: 326593.607136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 63417\/5 - 12684. Let z = 4 + -3.6. Let h = z - 0.5. Which is the nearest to o? (a) 0 (b) 2\/3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2643?\nAnswer: 3, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**(3\/8)*a*a*a)\/(a*a*a**(-2)*a*a))**(20\/3))**22)**(11\/3) assuming a is positive.\nAnswer: a**(6655\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 20. Suppose 3*n - 72 = i*n. Calculate the highest common divisor of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 9 = 3*h - 5*i, 3*h + 1 = -5*i. Suppose -2*s + 4 = -0*s. Solve s*t + h = 2 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 + 66*r - 63.\nAnswer: -3*(r - 21)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 505723525.\nAnswer: 5, 47, 127, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1043456 (base 7) to base 3\nAnswer: -20112021222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-9) - 1)*-69. Suppose -2*q + k = 2. What are the prime factors of q?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - 2)*(-87)\/6. Let a = -138 - -113. Let t = a + n. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/9))**20*d**(-3\/2)\/d**14 assuming d is positive.\nAnswer: d**(-199\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + l + l)*(-153 - 651 + 311 - 460).\nAnswer: -2859*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112\/11*l**2 + 2\/11*l**4 - 210\/11 - 68\/11*l - 28\/11*l**3 = 0. Calculate l.\nAnswer: -1, 3, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in -0.5, 0, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/(-1995)*5*(-4)\/(-6). Let a be (2 - 1)*2\/(-2)*1. Which is smaller: i or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kd when two letters picked without replacement from drdckdrrkrdrdck.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - k + 14 = 0, 3*t + 17 = -5*k + 24. What is the smallest common multiple of t and -2 + 2 - 0 - -6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s + 16*s = 8*s + 115560. Is 150 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11770 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1763 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -387880, -1551555, -3491006, -6206227, -9697212, -13963955?\nAnswer: -19006450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 6, 5*b - 4*b - 22670992 = -4*r. Round b to the nearest 100000.\nAnswer: 22700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31316345?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19123.\nAnswer: 13, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366\/(-4)*(-10)\/15 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 19 + 142 + -169?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 3*v**4\/2 - 379*v**3\/2 + 501*v**2\/2 - 125*v\/2 = 0.\nAnswer: 0, 1\/3, 1, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 h when four letters picked without replacement from eehleklqeeeeoeoqhhh.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1172.2861 - -1170.9. Round g to 2 decimal places.\nAnswer: -1.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)*2)\/sqrt(3) + sqrt(11) + 1 + sqrt(539) + sqrt(11).\nAnswer: 1 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2619 and 801441.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/10)\/(22\/73040*166)\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/150 and (-126)\/(-77) - (-40613)\/(-29733).\nAnswer: 7950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i = -21*i - 60*i + 7219628. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m = 4*g + 345 + 29, -637*g + 170 = -1278*g + 637*g + 5*m for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/11? (a) -3 (b) -0.4 (c) -397766\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1.8, -3, -8\/19, 5\/2, -126 in decreasing order.\nAnswer: 5\/2, 1.8, 1, -8\/19, -3, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 + 20 - 3) + 4 + 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 20*r. Let t be (-5308)\/(-28) + 2 - (-54)\/126. Let k(c) = t*c + 201*c - 393*c - c**2. Calculate p(k(l)).\nAnswer: -20*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2433 rounded to two decimal places?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2268398 and -8290.598.\nAnswer: 2260107.402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -302133333 (base 4) to base 12.\nAnswer: -9b853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -20. Let z(m) be the first derivative of 3*m + 1 - 1\/4*m**t + 0*m**2 + m**3. Give z(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 95481*3\/(-12) - (-6)\/(-8). Let m = i + 40406. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**4 - 63*a**3 + 265*a**2 - 201*a = 0.\nAnswer: -67, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(468) - (-2 + (sqrt(468) + 0 - sqrt(468))) - (-3 + -1 + sqrt(468))) - ((5*(sqrt(117) - sqrt(117)*-3))\/(sqrt(729)*-1))**2.\nAnswer: -7144\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 434664132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -537c9 (base 16) to base 12\nAnswer: -145a89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2138569499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 6*k**2 - 8*k - 4. Let i be m(-7). Let d = i + 5. Is d a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6.6, -5\/43, -3\/7, -3 in ascending order.\nAnswer: -3, -3\/7, -5\/43, 6.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 6 - 130 = 3*s, -104 - 229 = 19*s + 5*j for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w**3 - 4*w**2 - 2*w + 2. Let m(b) be the second derivative of 9*b**5\/20 - 3*b**4\/4 - 5*b**3\/6 + 2*b**2 - 5152*b. What is 2*m(x) - 5*r(x)?\nAnswer: -2*x**3 + 2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 141535570 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4079391359 to the nearest integer?\nAnswer: 63870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 422002175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2437 - 85*z**2 + 2437)*(z - 2*z - z)*(-1 - 1 + 1) + (-5*z**2 + 4*z**2 + 2*z**2)*(z + 0*z - 2*z).\nAnswer: -171*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 13 = -3. Suppose 9*r - 4*r = -5*z - 25, -2*z = 3*r + 11. Let y be (49 + r)*10\/6. What is the greatest common factor of p and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 4*h**2 + 2*h - 4. What is the remainder when u(-5) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27419 at least as big as 27423?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**5 + 348*v**4 + 1072*v**3 + 720*v**2 = 0.\nAnswer: -2, -1, 0, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -99, -183, -267?\n\"Answer: -84*v - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 13*v + 1381. Calculate b(-101).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -5701*a + 153931. What is k(27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257954.\nAnswer: 2, 101, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 136983 and 385?\nAnswer: 684915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5, 22, 49, 86, 133, 190, 257?\n\"Answer: 5*k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 10:15 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1062651 - 317151. What is i rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32557, -65114, -97671?\nAnswer: -130228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1.458125 grams?\nAnswer: 0.001458125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/8655220 and -31\/20?\nAnswer: 8655220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 387?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of 5*w**5\/6 - w**2. Let f(c) = -c**2 + 20*c. Let h(a) = 5*a. Let z(b) = f(b) - 4*h(b). Give z(x(r)).\nAnswer: -2500*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 50089.81 millennia in centuries?\nAnswer: 500898.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -223514.5.\nAnswer: -44702.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 9595002160 to the nearest one million.\nAnswer: 9595000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221 (base 3) to base 2.\nAnswer: 11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-10)\/(-4)*(9176\/(-155))\/37.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 + 34. Suppose 4*c - f*t - 286 = -7*t, 5*t = 10. Put 2, c, -5 in descending order.\nAnswer: c, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 5*q**2 - 3*q + 3. Let l be r(-4). Let a(i) = -5 + 5 + 4*i. Let u be a(-1). Put l, u, 3 in ascending order.\nAnswer: u, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -32. Let o = j + -26.9. Let w = 5.7 + o. Which is the closest to -10\/3? (a) 2\/17 (b) w (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + -6 - 9)*(-72)\/(-192)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 12:13 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14722, -14720, -14716, -14710, -14702, -14692, -14680?\n\"Answer: i**2 - i - 14722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*(sqrt(128) + (sqrt(128) - (sqrt(128)*-2 + sqrt(128) + 2)) + -2*(sqrt(128) - (0 + sqrt(128)))) + -2)**2.\nAnswer: -576*sqrt(2) + 10384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 7 - 7*z + 167*z**2 - 6*z + 179*z**2 - 344*z**2. What is u(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - m + 4. Let s be k(0). Suppose s*t = 79 - 19. Suppose t = 2*i - 15. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3944902 to the power of 1\/2, to the nearest integer?\nAnswer: 1986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 6 + 7 - 636*n**2 + 315*n**2 + 332*n**2 + 12*n + n**3. What is o(-10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**1*g*g)**3\/(g\/g**(-1\/3))**3)**12 assuming g is positive.\nAnswer: g**96","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -442461*f - 1689737.\nAnswer: -442461","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0 (b) 0.4 (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v**3 - 2*v**2 - v + 1. Let h be r(-2). Let m = -105 - -105. Which is the second smallest value? (a) -3 (b) m (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 35.5 and 2.52.\nAnswer: 89.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - u + 6 = 0, -4*g - 20 + 8 = -3*u for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 303 (base 4) to base 11\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-5\/4)\/c*c**(-8)*c*c**2\/c**(2\/3) assuming c is positive.\nAnswer: c**(-95\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-21))\/(19\/(-76))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x**2 - 2*x**2 + 0*x**2)*(x**2 + 0*x**2 + 0*x**2).\nAnswer: -7*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 32 + 57 = 0. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2303 + 2321. Solve 13*s + i = -8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.053 (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*h + 74*h + 2 = 0. Let c(j) be the second derivative of -1\/8*j**2 + 0 + h*j - 1\/48*j**4 - 1\/12*j**3. Solve c(w) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90206 is divided by 645?\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h\/(h**2\/h))\/h)\/h)\/(h**(2\/5)\/h)*h**(-9)\/(h*h**(1\/5)) assuming h is positive.\nAnswer: h**(-53\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 1044*t - 30 = 1042*t, 1097 = 3*i + 2*i + 78*t for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -60037, -241332, -543895, -967732, -1512849, -2179252?\n\"Answer: -x**3 - 60628*x**2 + 596*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.028 - -0.328. Let r = -1.700151 - p. What is r rounded to 5 decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -74, -110, -144, -176?\nAnswer: -206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28? (a) 3 (b) 2 (c) 8 (d) 4.2 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s**2 - 23386*s + 23386*s.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r - 42 = -11*r - 11*r. What is the third smallest value in 3\/4, -2, -1081, r?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*j + 13 = 0, 4*o + 25 = -202*j + 207*j. Determine i, given that 120*i**4 - 93*i**3 + 6*i - 48*i**o + 33\/2*i**2 - 3\/2 = 0.\nAnswer: -1\/4, 1\/4, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45217310*k**4 - 28002757*k wrt k?\nAnswer: 542607720*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 2*i - 26. Suppose -6*j = -2*j + i. Let u(h) = -h - 1. List the prime factors of u(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21677?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 5*c = 6, 3*u - u = -3*c + 8 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4529 + -2758. Let b be x\/4 + 1\/4. Suppose -4*p - 2*n = b - 2357, 2*n = 4*p - 1918. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/3, -1, 0.6, 60?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5\/2, 0.08 in descending order.\nAnswer: 0.08, -5\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 2. Let g = 3 - 2. Let d be (-6)\/15*(-84 + 94). Put i, g, d in decreasing order.\nAnswer: g, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 4:41 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 38386016231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 2*d - 34 = 0, 56*m = 57*m - 9*d + 19 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of 3*c**8\/56 - c**4\/6 + 7*c. Find the third derivative of i(q) wrt q.\nAnswer: 360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 12 = -6*u - u + 10*u, 9*u + 16 = 5*r for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and -0.1022857.\nAnswer: -5.1022857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1536 less than 1434?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 406 - 204 - 202 + 9*u**2.\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/54)\/((-4)\/3 - 2\/(-6))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2036967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 6*v**2 - 2*v + 1. Let l = -2 - 2. Let d be l + ((-18)\/3)\/3. Does 13 divide q(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*z = 0. Suppose z = 3*c + n - 25, n + 2 = 3*n. Suppose -c = -3*o - o. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 4*c - 2*v + 84 = 0, -2*v = 8. Let h be 5\/(-6) - (-16211)\/78. Calculate the highest common factor of h and c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -83750*c**2*u**2 - c**2*u + 6*c*u + 30*c - u wrt u.\nAnswer: -167500*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 47 = 60197*p - 60194*p, -39 = -3*f - p for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 4\/5, 77 in increasing order.\nAnswer: 0.4, 4\/5, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 30, 1\/11, 5, 2?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + 1 - o + o)*((3*o - o + o)*(-2*o**2 - 3*o**2 + 6*o**2) + 3*o**2 + o**3 - 3*o**2 + 6*o**3 - 7*o**3 - 5*o**3).\nAnswer: -6*o**4 - 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g. Let t(o) = o**2 + 5*o. Let w(z) = -z**2 - 4*z. Let k(v) = 4*t(v) + 5*w(v). What is k(m(j))?\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10\/39 + 12\/13. Which is smaller: 999 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -518 divided by -48833?\nAnswer: 518\/48833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 0 + 2 + 0*p)*(p**2 - 3*p**2 + 0*p**2).\nAnswer: 4*p**3 - 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 4:41 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25.9268 - -0.0732. What is the biggest value in n, 0.7, 3\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1053*y + 529*y + 533*y + 126 = 0 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002099652358 to 5 decimal places.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1420 and 1660?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/1217425 and -58\/23352425.\nAnswer: 256876675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 396400 to the nearest 10000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.27, 21, 2 in descending order.\nAnswer: 21, 2, 0.27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 11 (c) -3 (d) 197 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**5 - 2*p**5 + 0*p**5 + (3*p**5 + 0*p**5 - 5*p**5)*(3 + 13 + 4).\nAnswer: -41*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of w**2\/2 + 10*w - 4. Let o be t(0). Solve 3*x = -2*x - o for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 262\/17995?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5624532 and 49248.\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*d**3*u - 18*d**3 - 1072*d**2*u**2 + 17*d**2 + 2*d*u + 31*d wrt u.\nAnswer: 2*d**3 - 2144*d**2*u + 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -q + 3*q. Let l = 4 + -2. Let i be q\/(-7) + (-2)\/l. Solve -3*p = f - 1, -7 = -i*p + 5*p + 5*f for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 320.872 nanoseconds?\nAnswer: 0.000000320872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-5)*(53 - (-56482)\/(-1054))?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 10*j - 22. Let q be o(5). Suppose -a + 293 = l - 57, -4*l = -q*a + 1071. List the prime factors of a.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/24806775 and -157\/9922710?\nAnswer: 49613550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -476 divided by 119.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4994 + 4998. Solve 0 = -3*h + 14 + q for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrtrrrrsrrrrr. Give prob of sequence tr.\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 52c (base 14) in base 2?\nAnswer: 1111111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -4 (b) 4.6 (c) -391\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 27b?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7*1*(-1 + 154\/49). Solve -5*i = -4*f - 30, f + 0*f = 5*i - c for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7, -53, -143, -283, -479?\n\"Answer: -p**3 - 16*p**2 + 9*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3151956 divided by 4.\nAnswer: 787989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33229?\nAnswer: 7, 47, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/5 + 2 - (-63)\/(-15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6781 + 23260. Is 75 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (-1 - -2)) + -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**1\/(i*i\/i**(-3\/4)))**21)**(-3\/14))**(-50) assuming i is positive.\nAnswer: i**(-1575\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of l**5\/5 + l**4\/2 - 4*l**3\/3 - 4*l**2 + 240. Determine c so that p(c) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2313684 - 4533684. Round s to the nearest 100000.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3231\/13 - 5689804\/22893. Is z != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*k + 3 = 22*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, t: 4, h: 3}. Give prob of picking 4 t.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n + 424 - 424. Let k(h) = -h. What is k(b(a))?\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -3. Let k = 1 - z. What is the remainder when 2*9\/30 - 312\/(-30) is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-37)\/((-14911)\/26))\/((-2)\/(-12)*-3)?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 15, -14.\nAnswer: -14, -4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -3\/8 (b) 5 (c) 2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w**4 - 1676275*w**3 + 140499084375*w**2 - 702453515625*w = 0.\nAnswer: 0, 5, 167625","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -143\/45 - -34\/9. What is the third smallest value in 0.5, 1\/3, 0.1, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42*((-10)\/(-28))\/((-30)\/(-24))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 4*a**2 - 3*a - 5. Let w be t(-4). Suppose r + w = 41. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119134 is divided by 1702.\nAnswer: 1696","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.94 + -8.74. Which is the nearest to 1.2? (a) -2\/5 (b) -4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 43*q - 22. Let g be t(-7). Let h = g + 465. Suppose 14*f - 13*f = h. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29254 is divided by 140?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -6*v**2 - 8*v + 23. Let b(y) = -5*y**2 - 8*y + 21. Let q(s) = -4*a(s) + 5*b(s). Determine q(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42553\/48 + -2674\/3. Let y = 13\/137 - 12597\/1370. What is the common denominator of i and y?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -13. Suppose -2*u - 1 - 3 = 0. Is u less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4624110 (base 7) in base 16?\nAnswer: 8d084","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -148.16 + 9?\nAnswer: -139.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 160686607 < 160686607?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(23\/2)*u)\/(u**3*u*u))\/(u*u**(2\/83)*u*u\/((u**(-1\/27)*u)\/u)) assuming u is positive.\nAnswer: u**(24377\/4482)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 0.86 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 101 + -15. Let r = -72 + k. Solve r = 3*v - n, -6*n = -n + 10 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/9 (b) 0.1 (c) -2 (d) -1\/122 (e) 35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 12:09 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-4)*10\/50. Factor -1 + 1\/2*m + p*m**2.\nAnswer: (m - 1)*(m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 6, 6*n = 2*n - 2*c + 16 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 529 a factor of 52126388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7083a (base 12) to base 3.\nAnswer: 21102202101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 19 = 9. Suppose -u = -q + 5. Let v(f) = -f - 2. Let h(k) = -5*k - 9. Let a(o) = u*v(o) - 2*h(o). Let c(t) = t. What is c(a(s))?\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 8 + (1 - -11) - (-30 - -37).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -92 + 97. Let i = -3 - -11. Find the third derivative of -2*s**2 + 6*s**2 + y*s**3 - i*s**2 wrt s.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9500481?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -1065?\nAnswer: 1062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-63)\/(-35) - 6) + 28\/(-35). What is the nearest to 5 in -50, 2\/21, p, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 59 = d + 3*p, -3*p = -3. Is d less than -57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v + 2. Suppose -3*z - 5*k - 28 = 0, -5*z + 4*k - 84 = 3*k. Let b = z + 10. Give f(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-4\/9)*n*(n\/(n**(1\/7)*n))\/n)\/(n\/n**2)**45*(n\/n**(-1\/4))**(-41)*n**(1\/5)\/n**(1\/3) assuming n is positive.\nAnswer: n**(-7523\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1642)\/(-38) - 30272\/704\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6125881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 673072340 bigger than 673072341?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (-6)\/((-2)\/150*-4)*-4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8168704.2 to the nearest 1000.\nAnswer: 8169000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -1951.5?\nAnswer: -975.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 5 - (9 - 5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (582\/(-485) + (-174)\/15)*(-35)\/14.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 904 and 3378248?\nAnswer: 3378248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19828 is divided by 6588?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, s: 1, v: 1, u: 2, y: 1, d: 2}. Give prob of picking 1 u and 1 d.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -204*u - 5. Let z(s) = 16626*s + 408. Calculate -408*i(k) - 5*z(k).\nAnswer: 102*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q. Let b(v) = -4*v**2 + 1 - 1 + 3*v**2. Calculate w(b(i)).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*c**4 + 27*c**4 + 6*c**4)*(3 - 10 + 27) - 2*c**2 + 2*c**2 + c**4 - c.\nAnswer: 1421*c**4 - c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-7) - 0 - 9169\/(-15743)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wkwhkx. What is prob of picking 1 k and 1 w?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 6 + 14, 2*h = -2*v. Suppose -h = -5*z, 0 = 4*n - 2*z - 2 - 52. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 10 = 3*i - 22, -i + 4 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 21, -2, -15, 0, -144, -220 in ascending order.\nAnswer: -220, -144, -15, -4, -2, 0, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) 21\/4 (c) -71 (d) 2\/13 (e) 3\/8 (f) 30 (g) 1\/6\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27749, 110994, 249741, 443996, 693765, 999054, 1359869?\nAnswer: 1776216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-156)\/10*10\/(-4). Let c = k - 28. 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 ((-38)\/133)\/((-26)\/42315*-15)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 1 - 6*i**3 + 8*i**3 + 84*i - i**3 - 64*i + 20*i**2 + 0*i**2. Calculate t(-19).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b + 13*b**2 + b - 159*b**2 - 6*b.\nAnswer: -146*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 379888336 and 10524.\nAnswer: 3508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bjwj when four letters picked without replacement from bbjbjwjwwjb.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(0 - (0 - -3)). Suppose 4*l + 4 + 4 = m. Let t(a) = 6*a**2 - 44*a + 5. Let d be t(7). Sort l, -4, d in ascending order.\nAnswer: d, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*p*r**2*x**3 + 34*p*r**2*x**2 - 7*p*x**3 - 5*p*x**2 - r**2 + 2*x**3 wrt r.\nAnswer: 4*p*r*x**3 + 68*p*r*x**2 - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3231029, -6462059, -9693087, -12924113, -16155137, -19386159, -22617179?\nAnswer: -25848197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l + 493 = -17*l + 427 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 550*z**3 - 7 - 549*z**3 + 0 + 4*z**2 - 6*z. Let h(n) = 5*n. Let q = -3 + 2. Let w be h(q). Determine x(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 513153 divided by -22311.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 103, -23, 0.07, 1, 4\/41?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*i + 2, 3*i = 3*g - 342. List the prime factors of g.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/((-385)\/120)*(-22737)\/4134?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-5) + 2202\/(-30). List the prime factors of o\/3*(-1 + -2).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 6*l + 7. Let f be u(-7). Suppose -4*o + g + 103 = f, -3*g + 0*g = 4*o - 91. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 3*g - 4. Give u(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 30*((-3)\/(-6))\/(0 - -1). Solve 0*b = 3*b + r for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33870416 is divided by 2642.\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31 - 5038\/(-154))*21\/(-138)?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/2? (a) -39 (b) 3 (c) 2\/7 (d) -4 (e) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of 3*b**8\/28 + 257*b**7\/42 - 410*b**4\/3 + b**3\/3 + b - 1931. Find the third derivative of a(g) wrt g.\nAnswer: 720*g**3 + 15420*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -280*655\nAnswer: -183400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2363 is divided by 140.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*p - 19 = 3, -4*m - 18 = -2*p. Let k = 0.08 + 3.92. Let d(f) = f**2 + 9*f + 7. Let g be d(-9). Which is the smallest value? (a) g (b) m (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 7:49 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*s + 4*x - 18, 2 = -2*s + 4*x. Let q(w) = -7 - 4*w + w**s + 12*w**2 - 6 - w**2. Is q(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7415.02 to the nearest 10.\nAnswer: 7420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 234?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 173 divided by 7\nAnswer: 173\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -b**5\/60 + b**3\/3 + b**2. Let f be g(0). Suppose -n - 815 = -5*t - 0*n, 4*t = -f*n + 652. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*p - 226*p**2 - 525*p**2 - 6*p - 212*p**3 + 667*p**3 wrt p.\nAnswer: 2730","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2*l + 12, -b + 8 = 5*l + 4. Suppose 0*z - 32 = -z. Let o be 3\/2*z\/12. Solve -o*k + 2*k - 10 = l for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 103 + -2322 + 2301.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-385*b**4 + 33 - 115 + 384*b**4)*(-3 + 5 + 0).\nAnswer: -2*b**4 - 164","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vrvrvrrvvvrrvrvvvrrr. Give prob of picking 3 r.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -20. Let w(l) = l - 38. Let u(k) = k**2 + 20*k - 85. Let i be u(5). Let s be w(i). Solve 2*j + 0*j + c = -r, 5*r + 7 = s*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 17*b + 76. Let r(m) = 6*m + 25. Let j(y) = 11*r(y) - 4*u(y). Let z be 33\/21 - (-18)\/42. Let w(g) = -g + g - 29*g**2 + 31*g**z. Determine w(j(v)).\nAnswer: 8*v**2 + 232*v + 1682","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -5 (b) -4 (c) -1.1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**2 + 1. Let s(w) = 5*w**2 - 460. What is s(r) + 3*v(r)?\nAnswer: -r**2 - 457","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/1)\/(0 - 1). Solve 0*i + 5*j = -i - 4, 2*j = -3*i + w for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -o**4\/4 - o**3\/3 - o**2\/2 + 13*o + 5. Is s(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.984534 millilitres in litres?\nAnswer: 0.000984534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*o - 13 = 0, 3*d + 2*o + 0*o - 9 = 0. Let a(j) = j - 7*j**2 + 6*j**3 + j**2 + 5*j**2 - 1 + 0. Calculate a(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(304) - sqrt(19))*-3*4.\nAnswer: 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 458 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 2*x + 20 = 0, -2*x = -q - 10. Let c be q\/3*3 + -395 + -3. Let i = c + 1469. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -1\/8 (c) -0.5 (d) -2604\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 38*o - 207. Let k be f(6). Let l(j) = j**2 + 78 - 12*j - j - 21. Does 24 divide l(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/1635 and 35\/24285636.\nAnswer: 121428180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/6)\/(5\/10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 2)\/(-1*(-6)\/16). Let a be (660\/w)\/3*(-10)\/25. Calculate the highest common factor of a and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2987 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5.58 times -0.4\nAnswer: -2.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, b: 4, s: 1, w: 7}. Give prob of picking 2 b.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**4 - 2*y**4 + 0*y**4 + 104*y**4 + 6421*y**3 - 6421*y**3 - 2*y**4 + 0*y**4 + 0*y**4 + (2*y**3 - y + y)*(-2*y + 2*y + 2*y).\nAnswer: 104*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 8:59 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 0*c**2 - 6*c**5 + 5\/6*c**6 + 45\/4*c**4 + 10 + 0*c - 20\/3*c**3. Suppose s(y) = 0. What is y?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.024? (a) -3 (b) -19 (c) 65 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -1 - 0)*-11. Suppose 140*g - 136*g = -84. Let o = z - g. Solve i = -5*x - 0*i + 22, 2*x + i = o for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 9*k**2 - 5*k + 1. Is w(7) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8.2 - -8.2000105. Round b to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -2\/13 (c) 243 (d) 0 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {x: 7, o: 5, q: 8}?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2592 and 8505.\nAnswer: 272160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (14 - 5 - 9)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -188290.4 - -188290. Let g = 0 + 1. Which is the third smallest value? (a) f (b) -32 (c) g (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(180) + 0 + 2 - (1 + sqrt(245) - (-4 + (sqrt(5) - (-1 + sqrt(5))))))**2.\nAnswer: 76*sqrt(5) + 1809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fiffulkukxiixu. Give prob of picking 3 u and 1 i.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 - -26. Suppose q*h = 2*h + 5*h. Suppose -x = 5*l + 13, 5*x - 5*l - 18 - 7 = h. Is x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 1:49 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3569*h - 299 + h**2 + 3570*h + 0*h**2 - 38*h**3 wrt h.\nAnswer: -228*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -5*a + 15, 0 = -4*j + 5*j - 2*a. Let c(d) = 5*d**3 - d**2 + d - 1. Let v be c(1). What is the smallest value in v, j, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/553? (a) -0.048 (b) 1\/6 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 p when two letters picked without replacement from {r: 9, p: 3, x: 2, q: 5}?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.9 + -103.9. Let j = t - -95. Which is the closest to j? (a) 3 (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**3 + 83*v**2 + 707*v - 31. What is n(-12)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53084406 is divided by 6635550.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 22*z**2. Let w(c) be the second derivative of -c**7\/1260 - 8*c**4\/3 + 27*c. Let s(v) be the third derivative of w(v). What is s(f(n))?\nAnswer: -968*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 32981236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24018 is divided by 304.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 544 is divided by 65.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 34 or -14.2?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xygygcytggyhggx. What is prob of sequence cg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72133.76ng to micrograms.\nAnswer: 72.13376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2095 or 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z + 3. Let u(f) be the third derivative of -3*f**2 - 1\/6*f**3 + 0 + 0*f. Let x(b) = 2*b**2 - 3*b - 4. Let p be x(3). What is p*u(g) + t(g)?\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 4*g - 58 + 6, 0 = -4*c + g - 132. What is the remainder when (-2)\/(0 - (-4)\/c) is divided by -3 - -1*(3 + 9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - -7)*(-2)\/(-2). Let c be -1 - v - (-10 + 15207). Round c to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5241 - -5241. What is z in -1\/4*z**2 + m*z + 3\/4*z**3 + 0 = 0?\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2348 - 2337. Calculate the remainder when 3011 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**3 - 7*w**2 + 5*w. Calculate s(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-7) + (10 - (-760)\/(-70)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -5 (c) 9 (d) 5.34 (e) -9 (f) -0.3 (g) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 17. What is the nearest to w in -0.03, -3\/5, 2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -9011?\nAnswer: 18022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*8\/(-20))\/(4\/10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2315600 rounded to the nearest ten thousand?\nAnswer: -2320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, h: 2, m: 1, j: 1, p: 2, y: 1}. Give prob of sequence nphh.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + (-4 - 5) + 0. Let b be ((-31768)\/t)\/(1\/7446). Let n be b\/154 + 4\/(-14). What is n rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10113 + -10?\nAnswer: 10103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -32*n**5\/5 + 9392*n**4\/5 + 548654*n**3\/5 - 30854774*n**2\/5 + 15323928*n\/5 - 1911168\/5 = 0.\nAnswer: -79, 1\/4, 36, 336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6158, -12322, -18486, -24650?\n\"Answer: -6164*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 222 (base 5) to base 10\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40.5893 + 0.8023. Round r to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 288 and 224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 86 (b) 5 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/3, -0.056, 367, -4.\nAnswer: -4, -0.056, 2\/3, 3, 367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (108100\/(-9400))\/((-2)\/16)\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (17 + 1)*(-160)\/60. Let s be 132\/(-165) - t\/10. Solve s*o - 2*o + 2 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**5 - 1103*g**4 - 552*g**3 = 0.\nAnswer: -1\/2, 0, 552","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -90, -235, -380, -525?\n\"Answer: -145*i + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*f**2*g**2 - 282445*f**2*g - f*g**2 + 3*g**2 + 409*g + 146 wrt f.\nAnswer: 32*g**2 - 564890*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, -91, 2\/17, 0.1, 6?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16.69 + -20.69. Let f = -3 + 1. What is the nearest to f in 2, 0.3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f*f**(2\/11))))**(1\/72) assuming f is positive.\nAnswer: f**(13\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -45593891 and -0.1.\nAnswer: 4559389.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 5:08 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3713104.\nAnswer: 2, 239, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3c + 4?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h + 2*h + 3*h + (3*h + 2*h - 3*h)*(-5 + 0 - 5))*(28*h - 6*h**3 - 28*h) to the form c*h**3 + w*h**4 + k + y*h**2 + n*h and give w.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 184 and 10649?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -77 + 76.9. Let n = 129 + -126. What is the nearest to y in -0.4, n, 42?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 17*u**2 + 2*u - 71. What is the tens digit of z(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, 3, -17983, 4 in decreasing order.\nAnswer: 4, 3, 0.03, -17983","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 p when two letters picked without replacement from {r: 2, p: 3, c: 1, m: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*g**2 + 23*g**2 - 37*g**2.\nAnswer: -34*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50 - -252\/5. Put 5, y, -5, -4\/5 in decreasing order.\nAnswer: 5, y, -4\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven halves of a hour?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.60236 to 0 dps.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 0, 0.4, -0.0073?\nAnswer: -0.0073","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 12 + (-21)\/7 + 5. Let n = 136 - 94. Calculate the highest common divisor of n and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -5. Let b(m) = -11 - 4*m + 4*m + m**2. What is b(r)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/(-6))\/((-2)\/4). Suppose h*g = b + 27, 4*b - 2*b = 3*g - 24. Solve 0*u - 2*u = g for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-5)*(-10)\/(-4). Let u = -4 + y. Is 1\/(-1) + (u - -38) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*w + 5*w + w)*(-10*w - 3*w - 2*w) - 2*w - 2 + 2 - w**2 to the form r*w + m + q*w**2 and give q.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 + 8.8. Let n = 7 - w. Suppose -21*h = 5*j - 26*h + 35, 3*h - 6 = -2*j. What is the second biggest value in j, -0.3, n, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/(9 - 5) - (-9)\/((-27)\/(-6654)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11639 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*2 + (-396)\/90.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/129, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8 - 1.1. Let h = 0 - z. Let m = 391\/5 + -78. Which is the nearest to 0.1? (a) m (b) -3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in -3, 1, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 2:50 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + (2 - 0 - -4). Suppose s*f = l + 5, 3*f - 1 = 3*l + 5. Let t be -3*(f - (-51)\/(-9)). Solve -5*d - 3*c + t = 0, -4*d + 5*c = 6*c - 14 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*f*h*s**2 - f*h + 3*f*s**2 + f*s + 6662*f + h + 6566*s**2 - 2 wrt s?\nAnswer: -4*f*h*s + 6*f*s + f + 13132*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04 + 8.04. Let v = 7 - w. What is the second biggest value in -2, v, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) -77210 (c) -45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 393579164585\/1768 - 222612658. Let c = -6\/221 + y. What is the common denominator of c and -31\/11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3473*g + 4 = -q + 3475*g, g - 2 = -3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 7*m + 3*m)*(3 - 2*m - 3)*(-m + 3*m + 3*m).\nAnswer: 30*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 (base 9) in base 8?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 49649941?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/((-242)\/(-297))*(6 + 96\/(-18)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/4)\/((-2)\/4). Let z be (1 - -3)*(-1 - i). Is 42\/z + (-1)\/4 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 11:44 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.82 rounded to zero decimal places?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10061 rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**3\/7 - 5289*n**2 - 94768056*n\/7 + 124804627956\/7 = 0. What is n?\nAnswer: -6642, 943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*i - 69 + 69)*(-3*i + 8*i + 3*i)*(2 - 8 + 4) to the form c*i + t + r*i**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001101010111100110111 (base 2) in base 5?\nAnswer: -1122111343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b + q - 28 = 0, -6*b - 204 + 226 = -4*b - q for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5*(-1 + sqrt(3) + -1 + -1 - (sqrt(324)\/(sqrt(9)*-1))\/sqrt(12)))*6.\nAnswer: -114 + 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (16\/(-28) - 0)\/2. Let v = 294 + -292. What is the nearest to v in y, 0.1, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54.1*-0.5\nAnswer: -27.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**4 + 0*q**4 + 2*q + 0*q**4 + (q**3 - 3*q**3 + 0*q**3)*(2 - 2 + 32*q).\nAnswer: -66*q**4 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - 3*h + 0*h)*(4*h + 0*h - h - 2 + 2*h + 2 + (-h - 4*h + 4*h)*(1 - 1 - 1)).\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 189 and 279.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10914*n = -15034*n - 2932124 for n.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -130 divided by -56\nAnswer: 65\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7 - 2\/7*i**5 - 2\/7*i + 4\/7*i**2 + 4\/7*i**3 - 2\/7*i**4.\nAnswer: -2*(i - 1)**2*(i + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270902415.6937 plus -0.1?\nAnswer: 270902415.5937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**3 - u - 1. Let s be h(-1). Let k(l) be the second derivative of 0 - s*l + 0*l**2 - 1\/6*l**3. Let m(a) = -2*a**2. Calculate k(m(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1508571 to the power of 1\/2, to the nearest integer?\nAnswer: 1228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 divided by 163.\nAnswer: -31\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 52250762 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 284*d**3*g**3 - 251*d**3*v - d*g**2*v - 11*g**3*v - 13*g**2*v wrt g?\nAnswer: 1704*d**3 - 66*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 551905845 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 846. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 f when two letters picked without replacement from ffyaygayfrfay.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-65)\/(-10)*(-7015)\/(-598)*12\/(-75)*-5?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) 25 (c) -562790\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179 = -4*d - 5*u, -41 = d - 3*u + 25. Let x = d + 44. Is (15155\/20)\/x*-28 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*f**4 - 7*f**4 + 3*f**4 + (-f + 0*f - f)*(-f**2 + 2*f**3 + f**2))*(4 + 4 - 2*f - 11).\nAnswer: -10*f**5 - 15*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 32\/(-14) - (-2)\/7. Let g be (-3)\/v + 1\/2. Let m(s) = -12*s - 12*s + 18*s + 2*s + 6*s. Give m(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.0483 (b) -2 (c) 1 (d) -6.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -99819 (base 11) to base 9.\nAnswer: -240477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-4 - 3) + 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/2235 (b) -0.6 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 26218731 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (6 - (87 - (-6 + 8 - -6))) + -4.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261325 is divided by 1493?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 88.27885 meters?\nAnswer: 8827.885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612)*1 + -4 + (-1 + sqrt(612))*-3 + 1)**2 + ((-3 + sqrt(612)*-1)**2 - (sqrt(612)*2 + -1)).\nAnswer: 24*sqrt(17) + 3070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 4*i = 40. Let h be (-4)\/(-8)*i - -2. Solve 2*y = -a - h*y - 1, -14 = -a + 3*y for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 8*j. Let z(x) = -5*x - 4. Let g be z(-4). Let k(p) = p**2 + 4*p - 1. Let h be k(-5). Solve j*n - g = -h*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 2*x**2 - 4*x + 5. Let r be n(-4). Let p be -29*(-4 + 4 + -4). Let y = p - r. What are the prime factors of y?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 1. Suppose -4 = l*s - 14. Suppose 3*a = y + 4*a - 13, -87 = -4*y + 3*a. Solve -3*p + q = -2*q - y, 15 = -s*q for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114281 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t - 5*t + 6*t)*(-t + 0*t + 0*t) - 47 - 11*t**2 + 47.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 16 and 375\/23 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-74)\/3626*693\/198\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7272527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -175 - -237. Is g < -0.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -98 + 100. Let w be 3*3\/2*2. Calculate the remainder when x is divided by (-2)\/7 + w\/7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4772 is divided by 2335.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**4 + 3 + 2*x**2 + 13*x - 2 - 16*x to z + b*x**3 + h*x**4 + c*x + q*x**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 197712970 divided by 1183910\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -2*w + 4 - 2, 2*z = -3*w + 28. Suppose -2*b - w = -4*r, 5*b - 1 = 4. What is the units digit of 1 + (r - 5 - -19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 565 + -573. Let h = 13 + g. Find i, given that -1\/2*i**3 + 0 - 1\/4*i**h - 3\/4*i**4 + 0*i**2 + 0*i = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**3 + 63*k**2 - 31*k - 15. Give d(31).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1256714183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 881 (c) -2\/5 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (0 - -2) + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 + 504\/(-54))\/((-2)\/36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67621321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 8) to base 12.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2222 + -32331312?\nAnswer: -32323030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -18 (base 12) to base 2\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by 21417522.\nAnswer: 8\/10708761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 232493 or 232488?\nAnswer: 232493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42 + -48 - -9) + 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 754 - 741. Let t(g) = g**2 + 5*g + 7. Let k be t(-5). Solve h = -3*o + k for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 - 2*r**2 - 5*r**4)*(r - 3*r - 9*r) + (-1 + 1 + 2*r**4)*(-2*r + 2 + 3*r - 3).\nAnswer: 57*r**5 - 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71092, 70948, 70804, 70660?\nAnswer: 70516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110196.\nAnswer: 2, 3, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**4 + 159790*o**3 - 1273442405*o**2 - 51129604200*o - 511936002000.\nAnswer: -5*(o - 15999)**2*(o + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/110 + (-22)\/210.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 6797*q + 33992. What is f(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 44*h**2 - 2 - 15*h**2.\nAnswer: 29*h**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 9:19 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6777 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/10)\/(4*8\/(-160)). Let o(k) = k**2 + k + 1. Determine o(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 f, and 2 g when four letters picked without replacement from swbgesf?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 7:07 PM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4*y**2 - 40*y. Let a(w) = -4*w**2 - 40*w. Let i(c) = -4*a(c) + 3*m(c). Factor i(v).\nAnswer: 4*v*(v + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 10:07 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 129\/2 or -49?\nAnswer: 129\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2926714*j + 0 + 0 - 2926712*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.3 - 1.4. Let z = -36\/5 + 8. Let v = 17\/15 - z. Which is smaller: u or v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -3*o**2\/2 + 11. Let v(c) = c**2. Calculate b(v(h)).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4207, -8837, -13465, -18091, -22715, -27337?\n\"Answer: a**2 - 4633*a + 425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4157 - 4152. Solve -2*n = -6, -12 + 0 = -b*c - 4*n for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 58\/435 - (-266)\/30. Let z be (25 - (8 - a)) + 8\/2. What is the highest common factor of 66 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4\/7 - 276*g**3\/7 + 5634*g**2\/7 + 268272*g\/7 + 1889568\/7.\nAnswer: 2*(g - 81)**2*(g + 12)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 997085 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**5 - 6018*g**4 + 11*g**3 - g**2 - 12*g + 365.\nAnswer: 120*g**2 - 144432*g + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + q = 0. Let u = 2 + q. What is the remainder when (-4)\/(-3)*3*1 is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 - 32. Let v(n) = 9*n - 3. List the prime factors of v(u).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-36) - (-3)\/(-9). Suppose r = -4*y + 17*y. Let j(m) = m**2 + 11. Give j(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c*c**(-7)\/c))\/c)\/(c\/(c**(-3)*c*c)*c)*(c\/(c**(1\/14)*c))\/c**(-5) assuming c is positive.\nAnswer: c**(111\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 19*i**5\/5 + i**3\/3 + 42*i - 14. What is the derivative of x(u) wrt u?\nAnswer: 76*u**3 + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13.8+-41\nAnswer: -54.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 - (-272)\/(-24))\/(6\/(-9)). Suppose 0 = -k + 1, 0 = -s*l + 3*l - 5*k + 340. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1)*(-6)\/24*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101101202101110 + 1102?\nAnswer: 101101202102212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -21*s + 19*s. Suppose -l + 160 = -s*l. Let g = -26 - l. Is 4 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3116.5 - 3117. Let b = 3 + 9. Let o be (-1)\/(-3)*(-8)\/b. Sort 1\/4, o, 4, x in descending order.\nAnswer: 4, 1\/4, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 1483?\nAnswer: -1479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.067905 + -375051.\nAnswer: -375050.932095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30208*z - 19 + 49 = 30218*z. Solve -5*s - 39 = z*l - 69, 0 = 2*l - s - 7 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90485790.\nAnswer: 2, 3, 5, 19, 158747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - 13. Let f = 11 - c. What is the highest common divisor of 7 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 785 + -492. What are the prime factors of 7 + 6\/2 + y?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*k**2 - 5*k**2 - 878*k + 878*k.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/33 and 76\/139791.\nAnswer: 1537701","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 11*p - 3. Let z be o(1). Suppose z*m - 160 = 3*m. Solve m = -4*c + 12 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4 - 35*o**4 + 165*o - o**3 + 326*o**4 - 109*o**4 wrt o?\nAnswer: 2184*o**2 - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 115, -7, -131, -257, -385?\n\"Answer: -g**2 - 119*g + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 17, n: 2}. Give prob of picking 3 g and 1 n.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 18 = 3. What is the second derivative of -2*d + u*d**4 - 10*d - d - 8*d**4 wrt d?\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2124.1 and 0.896?\nAnswer: -1903.1936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -87, -85, -81, -75?\n\"Answer: d**2 - d - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, b: 6, h: 1, m: 2}. Give prob of sequence bfh.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-109 - -264 - 56) + (-2 - -5).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 0 = -3. Suppose -k + s + 0 = 0. Let f = 5903 + -5899. Solve -3 - k = f*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 53*s - 2. Does 29 divide c(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*s - 6*s**3 + 33*s**2 + s**3 - 48*s**2.\nAnswer: -5*s*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2\/7, 0, 6, -113\/54, 0.05?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 4, 5 in increasing order.\nAnswer: 4, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26624 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 257892 divided by -4?\nAnswer: -64473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 143420961 to the power of 1\/3, to the nearest integer?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4611 - 14641?\nAnswer: -10030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1620 and 3614301?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((3 + sqrt(171)*-1 + sqrt(171))*2 + sqrt(171) + sqrt(171)*1 + 2 + -2))**2.\nAnswer: 1800*sqrt(19) + 18000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 54*q**2 + 3627*q + 14. Give x(-39).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3407*p + 1 + 3418*p + 3406*p - 10215*p.\nAnswer: 16*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/(-18) + (-5 - -2) and -31\/30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2 (b) 0.4 (c) -4 (d) -2 (e) -0.57 (f) 1\/6 (g) -50\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57341*c**2 + 25658*c**2 + 11267*c**2.\nAnswer: 94266*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, 1, -337, 3.15, -2.6?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v + 26. Let g(m) = m**3 - 7*m**2 + 5*m + 8. Let p be g(7). Let h be p\/2 - 5\/(-30)*3. Let a be u(h). Solve -a*i - z - 6 = 0, z + 2*z = -i + 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 5*q + 5 = -8, -a = q - 2. Suppose 6*u - 80 = 2*u - 5*s, -3*u + 5*s = -25. Suppose u = h + 2*h. Put h, a, 3 in increasing order.\nAnswer: a, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/14 + 96\/(-483). Let t = 97 - 96.5. Let b = -8.1 + 8.1. What is the closest to b in z, 1, t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of 0*m - 2*m**6 + 0*m**5 + 13\/2*m**2 + 0*m**4 - 10 + 0*m**3. Find the second derivative of o(z) wrt z.\nAnswer: -240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*r + 15*r - 24*r + 21*r**2)*(6*r**2 - 2*r**2 - 3*r**2).\nAnswer: 21*r**4 - 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 215\/(-602)*(-4)\/3*(-9)\/(-15)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1*sqrt(243) + 6*2*sqrt(27)))\/((sqrt(108) - -6*sqrt(108)*-1)\/(1*sqrt(12)*6)).\nAnswer: -90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of a**4\/24 - 7*a**3\/6 + 2*a**2. Let k be d(5). Find the common denominator of 51\/22 and k + (1 - (-13)\/(-10)).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/6)\/((-1)\/(-6)). Let j be 4\/(-2) + (150\/y)\/5. Solve i + j = 3*u - 5*u, 20 = -5*i - 5*u for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -132420 by 26484.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23952865889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7788 - -38939\/5. Sort -5, -1.5, 4, m, 8 in increasing order.\nAnswer: -5, -1.5, m, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -x + 3, 3*d = 2*x - 2 + 21 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x - 26 = -x. Let z(p) be the first derivative of -1 + 2\/3*p - 2\/9*p**3 - 1\/6*p**x + 1\/12*p**4. Solve z(k) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 582 and 2906702?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59952 and 307408?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.79 - -40.79. Let c = -2477.351194 - -2517.3512. Let j = g - c. What is j rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -17*u**3 - 14*u**2 + 16*u + 3. Let q(c) = -8*c**3 - 7*c**2 + 7*c + 3. Let l(j) = 13*q(j) - 6*t(j). Does 29 divide l(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 475*o = 209*o + 9576 for o.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.46400443 to 3 dps.\nAnswer: -4.464","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 83018 and 3627.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -265\/2 - -134. Let h(m) = -m**3 - 3*m**2 + 6*m + 4. Let n be h(-4). What is the nearest to 1 in n, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r + 3*r - 3*r + 2*r - 1 + 1 + (-4*r + 0*r + 2*r)*(-4 - 2 + 4) + 2*r - 4*r + r + 2*r - 2 + 2 + 238*r - 382*r + 205*r - 3*r + 0*r + r.\nAnswer: 68*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 19121955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (11\/77)\/(4\/14). Which is bigger: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 301378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 355.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -323\/21 + 47\/3. Let f = 57 - 52. What is the nearest to -0.1 in u, f, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4985840633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 1. Suppose w*h = 34 + 2. What is the smallest common multiple of h and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 4*k**2 - 8*k + 3. Let g be n(-6). Suppose 14 - g = -2*s + d, -41 = -s + 5*d. What is the highest common factor of 8 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**3 + 141*r**2 + 309*r + 16632. Give n(-70).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1200 and 16?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of s**6\/40 + 33*s**5\/20 - 73*s**4\/8 - 105*s**3\/2 + 5038*s**2. Factor h(n).\nAnswer: 3*(n - 3)*(n + 1)*(n + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m + m - m + 3*m - 4*m + 2*m + (0 - 4 + 6)*(-m + 3*m + 0*m) + 10*m + 17*m - 5*m.\nAnswer: 26*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.07077, -27, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) + 1 - sqrt(243)) + sqrt(243))**2 + sqrt(18)\/(sqrt(18)\/sqrt(3)).\nAnswer: 19*sqrt(3) + 244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 65*f - 2156. Give i(33).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22155 and 25320?\nAnswer: 177240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -154 + 155. Solve -p + 0 = -y for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000 - -111110?\nAnswer: 100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.19 + -0.81. Let w = 1805 - 1801. Sort 1, 2, w, n.\nAnswer: n, 1, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k\/(k**(-4)*k))))\/k*k**(-1))\/((k\/k**(1\/14))\/(k\/(k*k**(2\/21)*k*k))) assuming k is positive.\nAnswer: k**(-43\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8111.\nAnswer: 8111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 44?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from iiaaaiaaia?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101 = 42*j + 31*j - 129 - 2106 for j.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58798.6 litres to millilitres.\nAnswer: 58798600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1456 less than or equal to -283?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -10470.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 673839 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(108) + (sqrt(108) - (sqrt(108) + (sqrt(108) + -2 + sqrt(108) - sqrt(108) - sqrt(108)) + sqrt(108))) + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 112307 rounded to the nearest one thousand?\nAnswer: 112000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222 (base 3) to base 5.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98 and 378?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2, 23, -46, -211, -478, -853, -1342, -1951?\n\"Answer: -c**3 - 39*c**2 + 145*c - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 8 = -2*l. Let r(f) = 4*f + 6*f**l + f + 4 - 7. What is the tens digit of r(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by 445048\nAnswer: -9\/222524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1340 + 310?\nAnswer: 2200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -111011?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*m = -2*b + 20*m + 2, 0 = -3*b - 5*m + 27 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - ((-24)\/(-4))\/3. Let o be z\/(-18)*-7 + 1. Let t = -3034 + 3037.2. Sort t, o, 0 in descending order.\nAnswer: t, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.91 + 0.84. Let y = j - -0.07. Let q = 17 - 15. Which is bigger: q or y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 501450 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gnj when three letters picked without replacement from {h: 1, j: 2, n: 2, g: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*k - 296 = -42*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 11:42 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 u when two letters picked without replacement from dddnudkak.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-2)*((-54)\/(-10) + 1). Let i = j - 12. Let r be (5 - (2 - -6))\/(15\/i). Which is the nearest to -2? (a) r (b) 0 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14449759171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2332586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 422*c**5 + 446*c**3 + 1744. What is the third derivative of y(z) wrt z?\nAnswer: 50640*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 25588.83ng?\nAnswer: 25.58883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5500)*-1 + sqrt(5500) + sqrt(5500) - sqrt(220)*5)\/(sqrt(10)\/(sqrt(128) + sqrt(128)*4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1051 and 210465?\nAnswer: 221198715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + 3*q + 13 - 5, 4*h + q + 12 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007484591 to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/5*(2 + (-18)\/4). Let l(r) = 6*r - 3*r - j*r - 5*r. Let m(t) = 4*t**2. What is m(l(z))?\nAnswer: 64*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/7? (a) -1 (b) 0.3 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 8:44 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-2))\/(15\/(-10)*-1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -158908, -317902, -476896?\nAnswer: -635890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*i - 2*p = -18*i - 6, -3*i - p - 15 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-640)\/(-36) - 2\/(-9). Suppose -5*j = -3*h - 2*h - 25, 0 = 5*j - 2*h - 28. Suppose o = y - j. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 2. Suppose o*q - 4*q + 12 = 0. Calculate the highest common factor of q and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*v**2 - 2397*v**3 + 2398*v**3 + 164*v**2 + (3*v + 4*v - 5*v)*(-2*v**2 + 3*v**2 - 2*v**2).\nAnswer: -v**3 + 171*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.72 * 14625.3.\nAnswer: -10530.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 4*j**2. Let a be x(-4). Let u be (9 + -4)*(-18)\/(-45). Suppose a = -u*i + 3*i - 3. What is the smallest common multiple of 4 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6911, -7255, -7599, -7943?\n\"Answer: -344*j - 6567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -1\/4*j**4 + 0*j**3 - 6*j**2 - 9*j + 0. Find the first derivative of d(h) wrt h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kzm when three letters picked without replacement from tktmztmzdzztdddt?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 9:44 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -7*t + 12. Let h be t\/2*(-152)\/(-6). Suppose 0 = -d + 5*k + h, -d + 2*k + 50 = -0*d. Is 29 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + (-8)\/(-10))\/(40\/7100). Let c = f - 140. Solve 4*d + 1 = 3*r, c*r - 4*d + 3*d + 6 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 5) in base 12?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((j**3 - 4*j**2 + 4*j**2)*(j**2 + 2 - 2) - 13529*j**4 + 13525*j**4 + 36*j**5 - 13*j**5)*(-2 - 3 + 3).\nAnswer: -48*j**5 + 8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 61160 and 320.\nAnswer: 489280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1612 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 10:31 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 17.07522ml?\nAnswer: 0.01707522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 4 = -10*j. Solve 2*g - 4*r - 4 = 0, 3*g + j*r - 5*r = -6 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.165007 - 7.\nAnswer: -7.165007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 13686*t - 2. Let o(h) = 30*h**2 - 1. Determine v(o(n)).\nAnswer: 410580*n**2 - 13688","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (-12 + (-5 - -22)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 20 = -3*x, -2*x + 4*x - 14*x = -3*h - 65 - 70 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*i**4 + 115*i**4 - 25*i**4 + (-21 + 5 + 5)*(i**4 - 2*i**3 + 2*i**3) - i**4 + i**2 - i**2 + 3*i**4 + 5*i**2 - 5*i**2.\nAnswer: 56*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2994)\/(-2495))\/(0 + (-1)\/5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*o**2*u**2 + 8959*o**2 + u**2 + 4241*u - 1 with respect to o.\nAnswer: 4*o*u**2 + 17918*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 154.48 - 154. Let g = o - 0.38. Put -0.13, 2\/7, g in decreasing order.\nAnswer: 2\/7, g, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -56*m - 169. Let l(z) = 16*z + 43. Determine -11*l(g) - 3*w(g).\nAnswer: -8*g + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 + 30 = -9*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 419 divide 1352185899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 239084 divided by 274\nAnswer: 119542\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 27 + -66 + 21 - 3\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -28635370, -28635372, -28635374, -28635376?\n\"Answer: -2*g - 28635368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -7*3*7\/21.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -11*z. Let v be u(-1). Let b = v - 9. List the prime factors of 14\/(-5)*(b - 7).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3802.\nAnswer: 2, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 11*d - 13. Let s(n) = -6*n - 7. Let c(o) = 6*j(o) - 11*s(o). Let w be c(-1). What is the units digit of 1 + 0 + w\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - a21?\nAnswer: -a1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 940288 is divided by 305.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -14. Let o be (2\/5)\/(4\/20). Suppose -o*p = -n*c - 74, p - 5*c = 30 + 11. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -700 + 701. Let f = 13 + -26. Let l = -20 - f. What is the closest to z in l, 1\/4, -0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1566*t + 167*t = -411*t + 121995 + 150293 for t.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 4149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -22 - 5\/3*q**3 + 4*q + 1\/5*q**5 + 3\/2*q**2 - 3\/4*q**4. Factor b(g).\nAnswer: (g - 4)*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 276*h**2*o**2 + 14462*h*o**3 - 215*o**3 - 39*o**2 - o + 18 with respect to h.\nAnswer: 552*h*o**2 + 14462*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (-12)\/10 + (-330)\/(-25). What is the highest common factor of h and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -15, -4, -0.06, 0?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**3 + 62*t**2 + 543*t + 1510. Give u(-12).\nAnswer: 466","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 4*h**2 - 6*h + 3. Let o be a(-5). Let m = o + -12. Calculate the remainder when (-322)\/(-21)*(-6)\/m is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 1:55 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78085939?\nAnswer: 8243, 9473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 22*s - 14. Let g be n(7). Suppose 0 = 42*t - 47*t - g. Let u = 26 - t. Is u a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -309, -761, -1497, -2655, -4373, -6789, -10041?\n\"Answer: -23*v**3 - 4*v**2 - 279*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in -1214, -5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zjzphrzvrpppzjzvzph. Give prob of picking 2 h, 1 j, and 1 v.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 36\/(-2)*(-1 - 0). Let o(w) = w**3 - 3*w**2 - 15*w + 7. Let p be o(6). Let f = p - l. Solve -3*i + f = -2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102638 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -7*p**2 + 6*p + 6. Let a(d) = 8*d**2 - 7*d - 7. What is -5*a(t) - 6*w(t)?\nAnswer: 2*t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5874672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 29446 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3586, -3582, -3568, -3538, -3486?\nAnswer: -3406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: In base 13, what is 8a9 + 4?\nAnswer: 8b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of c**7\/105 - c**5\/30 + 2*c**2 - 7. Factor h(g).\nAnswer: 2*g**2*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2*b = 222. What are the prime factors of b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -c**4\/12 - 85*c**2. Let y(r) = -r**3 + 3*r**2 + 5*r + 2. Let j be y(4). Let i(g) = 2*g - j*g + g. Give k(i(n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -127.00000098 - -127. Round x to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10942 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/21)\/(((-3)\/1)\/36).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 3*a + 5. Let t be v(3). What is the derivative of -6*f + t*f + 3 - 3*f - 5*f wrt f?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*-1*(-4)\/(-10). Let u(q) = q**2 + 2*q - 1. Let m(w) = -2*w**2 - 7*w + 3. Let k(c) = 2*m(c) + 7*u(c). Calculate k(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -t**6\/120 - 2*t**5\/5 - 11*t**4\/12 + 23*t**3\/6 - 17*t**2. Let c be p(-23). What is the nearest to c in 17, 2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 143712.\nAnswer: 143712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of r**4\/20 + r**3\/2 + 27*r. Factor a(m).\nAnswer: 3*m*(m + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-612)\/126*140\/80.\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 5*s - g + 24, 2*g - 28 = 2*s. Suppose -4*y = 20, -v + 5 = -y - 2. Let n be 6\/v*(-2)\/s. What is the closest to n in 2, -5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - -13. Suppose -2*o + o + 1 = 0, -3*o - 1 = -2*q. Calculate the least common multiple of q and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of p**4\/4 + 4*p**3\/3 - 2*p**2 - 6*p + 9. Let v be i(-4). Solve g = -a - 4, -g - v = g for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 4*y + 3 - 4 + 0 - 25*y to z + m*y and give m.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*k = 2*d + 6, -2*d = -k - 3. Suppose -28 = -k*w - 7. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1082 - ((-16)\/(-8) + 2). Let i = -527 + l. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2414.9, -2\/11, -2, -1.22 in descending order.\nAnswer: 2414.9, -2\/11, -1.22, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -2*g**5\/15 - 2*g**2 - 32*g. Let v(f) be the third derivative of -f**4\/6 - 3*f**2. Give o(v(x)).\nAnswer: -128*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33 - -18. Let r = q + 17. What is the units digit of (r\/(-4))\/(9\/(-54))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-8) - 4*8\/128. Solve t = 2*k + 2*v + 3*v + 14, -v = -3*k + 13 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -n**2\/2 - 3. Let r(h) = -3*h. Determine r(k(p)).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - (13 + 132 - (12 + 4)\/(-4)). Let h(r) = -21*r - 2. Let t be h(7). Which is smaller: v or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + n = 2, -3*k - 15*n + 13*n = -4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + 23. Let a = -955 + 963. Solve -a*y - y = -v for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -1, 0.2, 0.38?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, 4, 40, -0.29, -8?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7909 is divided by 362.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i + 4. Suppose -6*g = -g - 15. Let k(b) = b**2 - 2*b - 3. What is the remainder when a(g) is divided by k(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**12*c))\/(c\/(c*c**(6\/7))))**33 assuming c is positive.\nAnswer: c**(-2574\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 549*x = 550*x - 89. What is the remainder when x is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 459361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k**3 - 134*k**2 + 873*k - 23. Give a(6).\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 6:03 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*t + 1290 = -74*t. Let v = -82 + t. Calculate the highest common divisor of v and 132.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 13984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 128 = -136. Suppose -30 + 23 = n - 2*o, 0 = -a*n - 5*o + 22. Solve -4 = -3*r - n for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 16*f**3 - 11*f**2 - 3*f. Let w(a) = 33*a**3 - 23*a**2 - 5*a. Let g(m) = -5*l(m) + 3*w(m). What is the third derivative of g(c) wrt c?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 37096*f - 37095*f - 1, 8 = 4*y - 2*f for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24002 and 35024.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-2\/13)*a*a)\/(a**(-6)*a))\/((a\/((a*a*a**(-2))\/a))\/(a**11*a)) assuming a is positive.\nAnswer: a**(236\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2*g = 8*h - 20, 14 = 4*h + g. Suppose -2*p - 5*o = 1 - 0, 0 = 5*o - 5. Put h, 7, p in descending order.\nAnswer: 7, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1040 + 451. Let n = r + 589.3164. Round n to 2 dps.\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12029\/18 + 668. Let j = r - 2\/9. Which is the fourth biggest value? (a) 2 (b) j (c) 2\/9 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3967 is divided by 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z + 213 - 174 = 4*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1658130, -1658164, -1658228, -1658328, -1658470, -1658660, -1658904, -1659208?\n\"Answer: -v**3 - 9*v**2 - 1658120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 16*v**2 + 12*v - 48. Let q be t(-11). Round q to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-3 + 6) - (2 + 4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 174337 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32\/3 + -230\/21. What is the nearest to b in -2\/11, -0.5, -1\/6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*o - 8 + 8)*(6*o + 9 - 9) as f*o + l*o**2 + x and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4*g**3 + 353*g**2 + 877*g + 315. Give z(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.77141 centuries in years?\nAnswer: 1877.141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(12) - sqrt(12) - sqrt(12))*3)\/(sqrt(400) - (sqrt(400) + 1*sqrt(400))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.71 and 0.03.\nAnswer: 0.0513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 4, -10, 6, -4, 2 in ascending order.\nAnswer: -25, -10, -4, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 257, 1, 34, -2?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1017 a factor of 45750762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -4\/3*y**3 - 1\/12*y**4 + 0*y - 1\/4*y**5 + 0 - 1\/120*y**6 + 3*y**2. List the prime factors of m(-15).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158329 + 190682 = -6123*b for b.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (723\/(-964))\/((-1)\/36).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/4 + 4\/(-2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1257912172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3 + (2 + sqrt(304))**2 - -2*(4*sqrt(171)*2)\/sqrt(9).\nAnswer: 32*sqrt(19) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 459912919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 u, and 1 k when three letters picked without replacement from uduk?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4*g - 228 = 2*d, 0 = g + 3. Let x = d - 99. Suppose 30*o**3 - x*o**3 - 21*o**5 - 45*o**4 + 11*o**5 + 4*o**3 = 0. What is o?\nAnswer: -5, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 81, 3, 6460, 4 in decreasing order.\nAnswer: 6460, 81, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 36 = -j, 3*d + 11*d - 13*d + 12 = -2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 374*i + 4446 = -120*i for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 106474 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 + -9.5. Let h = -38 + l. What is h rounded to zero decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ox when two letters picked without replacement from xxxxxxxxxxoxo?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22554445 or 22554444?\nAnswer: 22554445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -978 - -973.13. Let j = x - -4.8699773. What is j rounded to 6 decimal places?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gguuugg. What is prob of picking 2 g and 1 u?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8493 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tgataggtttaagaogat. Give prob of sequence oga.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a meter in millimeters?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3450 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/159632288 and -70\/44896581?\nAnswer: 1436690592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -9*t - 10. Let f be m(-2). Let q = -99 + 149. Solve 0 = n - 3*o + 10, 5*n - 3*o = -f*o + q for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1920 <= 1916?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 7. Let i be (-279)\/(-4) - (0 - (-5)\/(-20)). Let s = -67 + i. Solve -4*p - j = -s*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n**2. Let k(h) = 23100733*h**2. Calculate w(k(b)).\nAnswer: -1600931595411867*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -u*x**3 + 2*u*x**2 + 3*u*x - 4*u - 72*x + 936 with respect to x.\nAnswer: -3*u*x**2 + 4*u*x + 3*u - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - d - 3*d + 1 = 0, -4*d = 4*m - 8 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 2472058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of d**8\/1680 - d**6\/90 + d**3\/3 - d. Let j(t) be the second derivative of y(t). What is the third derivative of j(k) wrt k?\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 4:00 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u*u**1*u)*u)\/u**0*(u\/u**(-1\/10))\/(u*u**(2\/15)))\/((u*u\/u**(2\/9)*u)\/((u*(u*u**(1\/11)*u)\/u)\/u))**(5\/4) assuming u is positive.\nAnswer: u**(-4241\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 602*i + 1 - 650*i + (-29 + 29 - 9*i)*(-1 + 1 - 2).\nAnswer: -30*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 + 17. Let f = g + 14. Suppose 2*w = -2*z + 46, -2*z - 14 - 36 = -f*w. Calculate the remainder when 94 is divided by w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40567?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 25\/4 of a hour?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 466162694*q**2 + 341110709 wrt q?\nAnswer: 932325388*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2167, 2184, 2201?\n\"Answer: 17*s + 2150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -40.011*0.4\nAnswer: -16.0044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -16. Suppose 3*s + l*r - 16 = -4, -4*r + 12 = 4*s. Solve -8*y + 5*y + 12 = s for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + h = 5*h + 8, 5*o + 4*h = -8. Which is greater: -2\/85 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000207803 to seven dps.\nAnswer: 0.0000208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 6\/11, -6, -12473, 2 in descending order.\nAnswer: 15, 2, 6\/11, -6, -12473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b + 6. Let i = -15 - -24. Let r be (-51)\/i + 1\/(-3). Let k be t(r). Solve k = -9*z + 4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5031?\nAnswer: 3, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -797124640 by 212680.\nAnswer: -3748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11700 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 3:20 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -26496*d + 2278639. Give z(86).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-47329)\/(-29892))\/((-1)\/(-24))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(216) + (sqrt(216) + 2*sqrt(216) - sqrt(216))) + sqrt(216)*2*1)\/(sqrt(24)\/(-3*sqrt(12)) + sqrt(24)\/sqrt(3))*1)**2.\nAnswer: 164268\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o + 7. Let s be i(8). Let n = 0.08 - -0.02. Which is the biggest value? (a) n (b) s (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.15 (b) 4\/3 (c) 1 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4943913 a multiple of 327?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45535 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of b**6\/120 - b**4\/4 - b**2\/2 - 6*b. Let y(j) be the first derivative of o(j). Find the second derivative of y(u) wrt u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145*c**3 - 138*c**3 - 4*c - 143*c**3 + 3*c - 145*c**3 - 143*c**3 + 712*c**3.\nAnswer: -2*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-224)\/(-22) + (70\/(-22) - -3). What is the units digit of ((-2)\/3)\/(64887\/6489 - t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 13587*h + 3 + 0 - 4.\nAnswer: -13587*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(25)\/sqrt(5)*1).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 45*y - 405. Determine v(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, f: 2, m: 1, k: 1, l: 1}. What is prob of sequence frm?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -188146, -188165, -188184?\nAnswer: -188203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 2651.35?\nAnswer: -2651.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6347980720 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-33)\/22)\/(0 - (-1)\/4). Let q(l) = -4*l + 7. Let u(v) = 5*v - 8. Give f*u(r) - 7*q(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -6*i**2 + 11*i + 11. Let x(y) = 10 - 12 - 6*y - 7*y**2 + 3*y**3 - 4*y**3. Let d be x(-6). Let z(h) = h**2 - 2*h - 2. What is d*q(w) - 11*z(w)?\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 117090335 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -496*j - 504*j + 2054*j - 501*j - 554*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + -2 - (2 - 1). Let x(m) = m**2 + m - 1. Let v be x(z). Solve -5*k + v + 5 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -4*i**3 - 2*i**2 - i + 4. Let v(a) = a**3 + 9*a**2 - 7. Let s be v(-9). Let u(j) = 13*j**3 + 7*j**2 + 4*j - 13. Determine s*d(w) - 2*u(w).\nAnswer: 2*w**3 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m = 23*m - 4*y - 21332, y = -2. List the prime factors of m.\nAnswer: 3, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165*n**2 + 171*n**2 - 2*n - 341 - 335*n**2.\nAnswer: n**2 - 2*n - 341","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/1421963 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -16. Let t(u) be the third derivative of 0 + 0*u**4 - u**2 + 0*u**6 - 1\/840*u**8 + 0*u**3 + 0*u**7 + 0*u + s*u**5. Factor t(n).\nAnswer: -2*n**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/2229402?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-7 - (-7 + 4) - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 98*v**2 + 3981880*v - 568842.\nAnswer: 2*(7*v - 1)*(7*v + 284421)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + -1 + (-27)\/(-18))\/((-1)\/(-14)). Let s(v) = -v**3 + 5*v**2 + 15*v + 15. Give s(b).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34511304, -34511308, -34511312, -34511316, -34511320?\nAnswer: -34511324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**3 - 2*w**3 - 3*w**2 + 2*w + 5*w**2 as n + m*w**3 + h*w + v*w**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18127268 and 1112.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 716150.6 nanometers?\nAnswer: 0.07161506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, w: 8, p: 2, s: 2}. What is prob of picking 1 s and 3 w?\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**2 + 5 - 8*a + a**3 + 3*a**2 + a. Let s be r(-6). Let k be (-8)\/14 + (-11178)\/(-966). What is the highest common divisor of k and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**2 + 3*t + 3. Let x(y) = -4*y - 3*y + 4*y**2 + 2 - 5 - 3. Let r(s) = -7*i(s) - 3*x(s). What is the first derivative of r(l) wrt l?\nAnswer: 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1314 divide 69237288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -19*n**2. Let g(b) = 28*b - 14*b - 15*b. What is g(w(v))?\nAnswer: 19*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-10)\/(-2)) + 3800\/900.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/308 and -50\/539.\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*w + 18 + 19 = 0, 12 = 4*w. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1241.33 + -1241. What is the third biggest value in p, -0.03, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -16, 1310, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.1573484 + 64.8425736. Let c = -69 + q. Round c to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6073641 plus -5?\nAnswer: -3.3926359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62\/39 + 1\/13. Let c = 40 + -39. What is the smallest value in c, -1, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuvvfufivimim. What is prob of sequence vmv?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1493240\/341 - 4379. Which is bigger: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ph when two letters picked without replacement from {h: 1, u: 8, p: 9, g: 1}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 16*g**2 + g - 14. Let t be x(16). Suppose 0 = -0*k + t*k + 2*q - 50, 75 = 3*k - 4*q. Solve 0 = 6*w - 11*w + k for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 447 by -539.\nAnswer: -447\/539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-7)*84*155\/744\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 0*x**5 - 1\/6*x**4 + 0*x**2 + 0*x**3 + 1 + 0*x + 1\/9*x**6. Let p(d) = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 89684100 divided by 1992980\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1156814699.\nAnswer: 8101, 142799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320 = 3*c - q, c - q - 104 = -0*q. Factor -24 - 156*w**2 - c*w + 16*w**2 - 81*w**3 - 23*w**2 + w**2.\nAnswer: -3*(3*w + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 232453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x - 3*x - 4054 + 3941 = 7*b - 2*b, 4*x + 2*b = -62 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -109597 and -22946.733?\nAnswer: 86650.267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/24 of a day?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + s - 102 = -16*n, 3*n - 69 = 3*s. Solve 5*m + n = 0, 4*x - 3*m = -0*x - 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1 + (1*(sqrt(180) + 0) - (sqrt(180)*-2*1 - sqrt(180))))*5 + 0)**2.\nAnswer: 43200*sqrt(5) + 2592900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(-7) - 4\/(-2). Let c = 6.94 + 0.06. Which is smaller: c or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 179, -49, -327, -2 in increasing order.\nAnswer: -327, -49, -2, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*z**2 + 4*z**2 + 5*z**2 + 3*z**2 - 75*z + 3*z**2 as y*z**2 + w*z + m and give y.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, 5, 76, 149, 224, 301?\nAnswer: 380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41.5 - 2.5. Let m = 38.9999787 - t. Round m to six dps.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3\/76 + 289\/380. What is the third biggest value in -4, 2\/5, f, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01456 to 4 decimal places.\nAnswer: 0.0146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 126838211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46375 * 0.122.\nAnswer: -5657.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -3 + -4 + (16 - -26) + 1 + -2?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.589791 grams to tonnes.\nAnswer: 0.000009589791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2257*m**3 - 2*m**2 - 2*m - 4. Let b(u) = 13541*u**3 - 13*u**2 - 13*u - 26. Calculate 6*b(i) - 39*w(i).\nAnswer: -6777*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.03, -6, -3, -4\/3, -2\/13, -12, -26?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4596*q + 4668*q = -432 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(((-2)\/9)\/(5411\/(-6957)))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1637, 3189, 4705, 6185, 7629?\nAnswer: 9037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111556*z**5 - 1386100*z**4 - 22731508*z**3 + 155041156*z**2 + 1721708352*z + 1545433344 = 0.\nAnswer: -8, -1, 2457\/167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 31 - -2465179?\nAnswer: 2465210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -2 + 2\/5*g**2 - 6\/5*g - 2\/25*g**5 - 1\/5*g**4 + 8\/15*g**3. Solve h(k) = 0 for k.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3852785 to the nearest integer?\nAnswer: 1963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3500088*b**5 + 627953*b?\nAnswer: 70001760*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(2\/11))\/m**8*(m*m**(2\/7)*m)**5 assuming m is positive.\nAnswer: m**(327\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 5568 = 4*p. Let j = -701 + p. Let x = j - -464. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 14*u**4\/5 + 394*u**3\/5 + 366*u**2\/5 - 394*u\/5 - 76 = 0?\nAnswer: -190\/7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -3, -10, 14 in descending order.\nAnswer: 14, -3, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - 11. Suppose -7*y + 234 - 115 = 0. Suppose 4*w + 38 = 3*t + y, 2*w = -5*t + 9. Solve 0 = l - t*h + 1, -2*l - 4*h = -5*h - a for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2581 or -2553?\nAnswer: -2581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172*y - 39308 = -2*x - 171*y, 0 = -3*x - 4*y + 58940. List the prime factors of x.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**2. Let g = -241 + 249. Let v(h) = 5*h**2 + 36*h - 36*h + g*h**2. Give r(v(z)).\nAnswer: -338*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -16651 (base 8) to base 15\nAnswer: -23b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/3 + -1)*(-23)\/(-115).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7383, -1366 in decreasing order.\nAnswer: -5, -1366, -7383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 739042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.477376 less than -137099462?\nAnswer: -137099458.522624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1580*k = 917*k + 44*k. Suppose 3*o + 2 - 8 = 0. Factor k + 3\/5*s**o - 21\/5*s.\nAnswer: 3*s*(s - 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 8*x**3 + 28*x**2 - 4*x - 16. Give j(4).\nAnswer: 928","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3995 is divided by 570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of 31*s**6\/60 - 3*s**4\/2 - s**3\/6 - 2*s**2 - 78*s. Find the second derivative of d(b) wrt b.\nAnswer: 372*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/6753312 and -11\/188640.\nAnswer: 33766560","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11449?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-2) - -39) + -3. Let p = o - -5. Is 10 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-31 + -2 - -12) + (24 - 12)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 82\/7 + -12. What is the smallest value in -4, -2, t, -3\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 651384 = -25*m + 454160. What is the thousands digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 181294\/27795 - -20\/1853. Factor w + 2\/15*r**2 + 28\/15*r.\nAnswer: 2*(r + 7)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((0 - (-7 + 0)) + -3 + -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 g when two letters picked without replacement from ggqguggtgqgggeeagg?\nAnswer: 22\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from scpspccpsan. What is prob of sequence sc?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 7*o - 71. What is c(-5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 799?\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19968 divided by -416.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 33047\/8 bigger than 4131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 403235087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-1\/7)*x**(-5\/6))**2 assuming x is positive.\nAnswer: x**(13\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.8847 - -4.9. Round s to three decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 4*r = 9, -18 = -2*v - 5*r - 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(180) + (-4*sqrt(180))**2*5)*5 + 5 + -1.\nAnswer: 30*sqrt(5) + 72007","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 18*p - 9. Let m be s(-11). Suppose 3*h = h + o + 45, 0 = -3*h + o + m. Calculate the remainder when 87 is divided by h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -66.1 + 70. Let m = 4 - k. Let n = m - 0.8. Round n to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t + 40. Determine p(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 11) + (0 - 14) + 7\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 197 + -79. Suppose 3*s = z - 1129. Let q = -160 - s. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1058023, -1057993, -1057963?\nAnswer: -1057933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 129*y + 11. Let k(a) = -130*a - 10. What is -3*k(p) - 2*n(p)?\nAnswer: 132*p + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 4*h - 28, v - 2*h = 5*v - 20. Suppose 0 = 3*m - m + v*t - 4, 2*m + 5*t - 2 = 0. Suppose -m*r - 52 = -130. Are r and 14 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 946200, 946382, 946562, 946740, 946916, 947090, 947262?\n\"Answer: -o**2 + 185*o + 946016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24864 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -358748, -1435041, -3228856, -5740193, -8969052, -12915433?\nAnswer: -17579336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (319308*b**2 + 16 + 3*b - 12*b - 319313*b**2)*(-1 - 2 + 0).\nAnswer: 15*b**2 + 27*b - 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 37\/(-3) + (-2)\/3. Let n = x - -29. Let s(r) = 6*r - 16. What is the remainder when s(13) is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -36, -4 in decreasing order.\nAnswer: 2, -4, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zcvbkkd. What is prob of picking 1 d and 1 k?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*d - 615*d = -347*d + 597 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5.79458l?\nAnswer: 5794.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -36 - 24. Solve 5*n = -0*n + w for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13668705*8.\nAnswer: -109349640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/87 and -23\/2726?\nAnswer: 8178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13\/3 + 2\/(-6). Let v(d) = -d**2 - 6*d + 3. Let g be v(-6). Suppose -p*i + 116 = u - g*u, 4*u + 82 = 3*i. Is 12 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1 + (2 + 2 - 2)*(4 + 1 - 2))*(21*n**2 + 463 - 463 + (-1 + 3 - 3)*(2*n**2 + 0 + 0)).\nAnswer: 76*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 299, 563, 825, 1085, 1343, 1599, 1853?\nAnswer: 2105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1386 is divided by 343?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 8*s**2 + 8*s - 3. Let f be o(-6). Solve -5*t - 3*g - 1 = 0, 0*t + 3*t - 5*g + f = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 11:47 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r**2 + 219*r - 1514. Let f be c(-61). Let l(z) = -z**2 + 12*z - 20. Calculate l(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 4 = g. Suppose g = 3*d + 7. Let b(j) = j**2 + 3 - 4*j**2 - 1 - 2*j. Give b(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 195336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - m + 47 = 0, 0 = -g + 38*m - 31*m + 67. Which is smaller: 18\/19 or g?\nAnswer: 18\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.9 * -120.\nAnswer: -2028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 7:57 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -1 + 0 - 1 - 6*v + 3*v. Suppose 2*k + 2*k = -20. Is 13 a factor of w(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2348820 rounded to the nearest 1000?\nAnswer: -2349000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1911 and 8661393.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 - 6425*f - 70554.\nAnswer: -(f + 11)*(f + 6414)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q + 2*q + 0*q + 3*q + 4*q - q + (0 + 0 + q)*(-3 + 6 - 2).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 34616055223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 28235216 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 35354432042?\nAnswer: 35354432043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/4 + 118143*d**2 - 13957532160*d - 55832018944.\nAnswer: -(d - 236288)**2*(d + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**2 - 3*v**2 + v + 5*v**2 - v**2.\nAnswer: -4*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 7 = 31. Let x be (-18)\/(-4)*16\/s. Let b(i) = -2*i**2 + 6*i**2 + 0*i**2 - 3*i - 4 - i**3. What is b(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v - 82*v**3 - 2*v + 911*v**2 + 235*v**2 + 81*v**3 - 50*v**2.\nAnswer: -v**3 + 1096*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 586 - 383. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/400 and 13\/44.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*i = -12. Suppose -i = -h - 4*p + 3, -5*h + p + 119 = 0. Is 17 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -402902220 = -245*j - 123185720. What is j rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -2.2. Let u = -15 - -18. Suppose -4*x - 18 = -5*p, 4*x + 1 = u*p - 13. What is the nearest to p in v, -0.4, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**2 - q**4 - q + 3*q**2 + (5*q - 4*q - 2*q)*(-q**3 + 2*q**3 - 9*q**3).\nAnswer: 7*q**4 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**3\/q))\/((q\/(q\/q**(-1\/13)))\/q))\/((q\/(q\/((q**(-6)\/q*q)\/q)))\/q)**23 assuming q is positive.\nAnswer: q**(2393\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1512 - -1507. Let d(c) = c**3 + 4*c**2 - 4*c + 12. Determine d(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-1 + (3 - 11)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-7)*3\/4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78, 283, 614, 1065, 1630?\nAnswer: 2303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dcr when three letters picked without replacement from mmriimmcimiidrr.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-56)*2\/10*-2.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4\/15 + 14*z**3\/15 - 8*z**2\/15 - 56*z\/15.\nAnswer: 2*z*(z - 2)*(z + 2)*(z + 7)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -187699 and -800.\nAnswer: -188499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 17230*s + 20. Let y(m) = -2461*m - 3. Determine 3*d(t) + 20*y(t).\nAnswer: 2470*t","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -386 + 15052\/39. Let o = 2.7 + -3. Let v = 1929\/4 + -483. Which is the closest to 0? (a) v (b) o (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*d. Suppose 4*b - 16 = -d. Calculate the smallest common multiple of 8 and -1 - (-3 + b*-7).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/4)\/x)**(-37))**(-13\/6) assuming x is positive.\nAnswer: x**(-2405\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 11*i - 5. Give j(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 9:27 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1628 + 0.8298. Let w = 86 - 86.67. Let h = j + w. Round h to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3272214 or -1?\nAnswer: -3272214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-96)\/176)\/2)\/(15\/(-33))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32939 - -34157. What is the closest to o in -0.5, 3\/5, -1\/7?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*j**3 + 15*j**2 - 22*j - 9846 wrt j.\nAnswer: 6*j**2 + 30*j - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 11*b**3\/3 + 7*b**2\/2 - 9*b + 111. Let x(z) = 17*z**2 + 11*z - 14. Let k = -21 - -29. Determine k*a(h) - 5*x(h).\nAnswer: 3*h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -5\/3, 18025, 6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 176 divided by 6\nAnswer: 88\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - k - 2. Suppose -20 = -3*c + 2*l, 0 = 5*c + 4*l - l - 8. Suppose 0 = -39*u + 37*u + c. Give t(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 31 = 5*c - 9, 6*c - 2*n = -28 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 5*v - 5. Let h be c(4). Let g = h + 41. Is g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 3*q = -0*b + 6, 5*b - 99*q + 20 = -64 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -200222212 (base 3) in base 12?\nAnswer: -801b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -120 - 345\nAnswer: -465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1501828 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 648.6 rounded to the nearest 10?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 202.6 + -207.6. Which is the fourth biggest value? (a) 47 (b) -0.4 (c) -11 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + 1)*1 + 2. Let x be o\/(4\/(7 - 3)). Differentiate 7*h - x + 2 - 2 with respect to h.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 132578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -3. Let p = 6.4 - s. What is the closest to 1 in p, 2, -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -521, -2104, -4743, -8438, -13189, -18996, -25859?\nAnswer: -33778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -7 + a**3 - 3*a**2 + 13 - 20. Let x be o(4). Solve -q + 5 = -x*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -47536.8 and 0.144.\nAnswer: -47536.656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 0*k = 188. Suppose 0 = -j - k + 264. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1148, 2314, 3474, 4628, 5776, 6918, 8054?\nAnswer: 9184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -29*f**6\/3 + f**4\/4 + f**2\/2 - 6*f + 11. Find the second derivative of l(d) wrt d.\nAnswer: -1160*d**3 + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 4*o - 26. Let l be j(-12). Calculate the highest common divisor of l and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -262 + 5241\/20. Let c(s) be the third derivative of 0*s + 1\/10*s**6 + 0 + d*s**5 + 6*s**2 + 1\/14*s**7 + 0*s**3 + 1\/56*s**8 + 0*s**4. Factor c(k).\nAnswer: 3*k**2*(k + 1)**2*(2*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*k = -47*k + 96. List the prime factors of (-3870)\/k - (4 + -1)\/12.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5439383219478 + 0.5\nAnswer: 5439383219478.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2072 is divided by 480?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k - 1. Let s be h(0). Let l = -1 - s. Is 67 + (0 - l\/1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**4 + q - 1. Let v = -195 - -192. Let n(u) = 103*u**4 - 90*u + 3. Let b(l) = v*m(l) - n(l). What is the second derivative of b(d) wrt d?\nAnswer: -1200*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1466 - 981. List the prime factors of a.\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -164 - -176. Let a = -4 - -10. Suppose -4*q + 2*j = -30, -5*j - 40 = q - a*q. What is the remainder when z is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -346 (b) 0.4 (c) 0.106\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -156 - -175. Suppose 96 = h*m + 1. Let t(g) = g + 2. Let r be t(0). Solve c - 4 = -r*p, -c + m*p = -0*c + 17 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -160 - -254. Let k be ((-168)\/(-10))\/((-116)\/(-290)). Let w = h - k. Is 13 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4598.425um in meters?\nAnswer: 0.004598425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 40*x**2 - 549*x + 20. Let g be u(23). Which is smaller: -3611 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 6*w**2 - 8. Suppose 125 = 20*i + 45. Give n(i).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.2, 0.5, 4, 0.044?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-3)*1 + 3 + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by 4.\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, c: 2, s: 1, q: 2}. What is prob of sequence acca?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.09 and 14093515.\nAnswer: 14093514.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (-68 + 61 + (4 - (2 - 7)))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h + 6*h + 6*h to the form r + g*h and give g.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 850*((-36564)\/6600)\/(-277)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1acc - -3?\nAnswer: -1ac9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 9*h**5\/4 - 15*h**4\/2 - 27*h**3\/4 + 3*h**2 = 0.\nAnswer: -1, 0, 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 18 - 3 = 0. What is the units digit of 4\/(1\/(r\/6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 482?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4.33101419 and -3.\nAnswer: 1.33101419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -1\/5 (b) -0.01 (c) 48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 313423740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (3*6\/27)\/((-2)\/(-39)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(84\/(-40)))\/(((-728)\/(-390))\/(-14))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10761 and 15?\nAnswer: 53805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j - 13. Let y(b) = 3. Let d(a) = -9*y(a) + z(a). What is d(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 6*j + 18. What is the biggest value in j, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10041, -347, 0 in descending order.\nAnswer: 0, -347, -10041","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001110011111101111010100 + -11?\nAnswer: -1001110011111101111010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 9, w: 11}. Give prob of picking 2 v.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, f: 3, k: 3, n: 3, s: 2}. What is prob of picking 1 s and 2 n?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/4 of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-69*90\/(-1035)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24942 - 19949. What is the hundreds digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -195, -196, -197, -198, -199, -200?\n\"Answer: -u - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 28624.5 * 0.2\nAnswer: 5724.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 16691 and 16694 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 365194, 365168, 365128, 365068, 364982, 364864, 364708?\nAnswer: 364508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**3 - 21*m**2 + 18*m + 19. Let p(x) = 2*x**3 - 11*x**2 + 9*x + 10. Let n(a) = -5*p(a) + 3*w(a). Let k = 11 - 20. List the prime factors of n(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - j**2 + 0)*(3*j + j - 2*j)*(511 + 261 + 403) in the form d*j**2 + w*j**3 + o + m*j and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 2254*y**3\/3 + 2111*y - 2482. What is the derivative of u(w) wrt w?\nAnswer: 4508*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5481885, -5481906, -5481927?\nAnswer: -5481948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2673557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 1 = -3*s - 0, 0 = 2*l + s + 2. Let t be (-5)\/3*6\/2. Is (l - t) + 2\/2 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1043403 + 26?\nAnswer: -1043344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -30, -111, -266, -519, -894, -1415?\nAnswer: -2106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t*t**(1\/2)*t)*t*t)*t)**(29\/2)\/((((((t*t\/(t**25\/t))\/t)\/t)\/t)\/t)\/t*t*t**(-7)) assuming t is positive.\nAnswer: t**(219\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -186267 or -186198?\nAnswer: -186198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2.7 (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 99116.6 rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*z**3 - 6*z**3 - 19*z - z**3.\nAnswer: 6*z**3 - 19*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of 14*o**5\/15 - o**4\/24 - o**3\/6 - 10*o**2. Is 17 a factor of j(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 3\/2, 2\/3, 10\/7, 0.209?\nAnswer: 0.209","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -2411?\nAnswer: -2413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 3. Let z(w) be the second derivative of 2*w**3\/3 - 13*w**2\/2 + 3*w. Let a(s) = -26*g(s) - 6*z(s). Let y(x) = -x. What is y(a(h))?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 196 divide 60956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 833205 != 833224?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/633 or 0?\nAnswer: 1\/633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141697 is divided by 4723?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 0*k**2 - k**2)*(k**3 - 2*k**3 - k**3) - 2*k**5 + 4*k**5 + 0*k**5 + 0*k**5 - k**5 - k**5 - 3*k**4 + k**5 + 3*k**4 + 3.\nAnswer: 5*k**5 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and -1523.\nAnswer: -1526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (-39 - -29 - -5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16637212 and 0.4.\nAnswer: 6654884.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06519 and -0.2.\nAnswer: -0.013038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.14344 rounded to 3 decimal places?\nAnswer: -3.143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**3 + 67*y**2 - 53*y - 615. Let t be l(-34). Solve -10 = -t*p - 165 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*p + 37*p - 3*u - 36 = -37*p, 5*u + 20 = 0 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*w**3 - 3 + 13*w**3 + 3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1707 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*k + 35*k - 539 = -0*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.93 - -13. Round y to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 560125, 560123, 560121, 560119, 560117?\nAnswer: 560115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1935 - 1697. What is the least common multiple of q and 3?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*w + 31 = -179. Let v(z) = z**3 + 6*z**2 - 2*z - 5. What is the remainder when v(-6) is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*b - 5, 3*b + 2*b - 20 = 0. Let g be 1 + y + -2 + -3. Let t = 11 - g. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 4*v - 2*v - 161 + 123*v + 161 + (-1 + 4 - 1)*(-2*v + 0 + 0))*(1 + 6 - 1).\nAnswer: 720*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 5 (b) -2.7 (c) -3437 (d) -3 (e) -4\/3 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 2*g**2 + 3*g - 6. Let u be 4\/6*(-4 - 2). Let r(w) = -w**3 - 3*w**2 + 3*w - 5. Let y(n) = u*r(n) + 3*i(n). Is 5 a factor of y(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**2 + p. Let y be c(-2). Suppose -19 - 9 = l. Let b = y - l. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/7 and -86\/2085.\nAnswer: 14595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c**2 + 23*c**2 + 21*c**2 as x + w*c**2 + f*c and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-168)\/(-7))\/(-6) + (-954)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 2*m + 3*c - 34808, 0 = 5*m - 4*c - 87066. Round m to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1595565.14 to the nearest 100.\nAnswer: 1595600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/8702954 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a decade?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, d: 6, g: 1, n: 3, l: 2}. Give prob of sequence ng.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - i**2 - i + 8. Suppose 0 = -0*p - 2*p. Calculate the smallest common multiple of 1 and g(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -414.59271 rounded to zero dps?\nAnswer: -415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.272 + -270.728. Let c = f + 270.999998872. Round c to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -55.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58.57 - 64.57. What is the nearest to v in 3, 20, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8000 and 150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1464 (b) 1\/5 (c) 5 (d) 4 (e) 1\/3 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 12*s = -45. Let x = -548 - -548. Solve x = -2*d - 3 + s for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1214397157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11a94291 + -27?\nAnswer: 11a94265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 2:46 AM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 9*f + 9. Let v be w(9). Suppose 5*j = -v + 34. Solve 2*t = j*l + 5*t + 5, -2*l - 28 = -4*t for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4) + (-6 - 170\/(-25))\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1306799970 to the nearest integer?\nAnswer: 1093","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21732.85 years?\nAnswer: 2173.285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - 3*n + 3 + 11, 3*i = 2*n + 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 768 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g, g + 4 = 2*j + 3*g. Let m be (4*1)\/(j + -4). Let r(w) = 4*w**2 - w. Does 6 divide r(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.2 and 993.\nAnswer: -3177.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 353*y**2 - 112*y**2 - 121*y**2 - y**3 - 120*y**2 + 173*y as j*y**2 + l + u*y**3 + b*y and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12, 1, 0.5, 26.1, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4838985 is divided by 12536?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 2974920 to the nearest 10000.\nAnswer: 2970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -279*i + 781. Determine h(3).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, n: 1, u: 5, s: 2, z: 1, b: 8}. Give prob of picking 1 z and 1 u.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - -13. Solve -3*r + 2*p = h, -r - 24 = -4*p - 0*p for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 - -54. Suppose -s - 527 = -4*a. Is 38 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-92)\/6 + (-2)\/3. Let z(o) = -o**2 - 6*o - 4. Let u be z(-6). Let b be (-36)\/s - (-1)\/u. Sort b, 1, -2 in ascending order.\nAnswer: -2, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1460277 by 3.\nAnswer: -486759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -48*51\/1439424*-24\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 53*d + 80 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/34*2 - (-44390476)\/311610. Let h = k - 427\/3. Which is bigger: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3464*i + 3478*i - 6942*i + 70*i**2 - 19*i**2.\nAnswer: 51*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((c**(-1)\/c*c)\/c)\/c)\/c*c)\/c)**(2\/67))**48 assuming c is positive.\nAnswer: c**(-384\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -344.7 + 322. What is m rounded to the nearest integer?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 710\/143 + -36\/11. Let f(w) = -w - 31. Let y be f(-31). Factor -2*p**3 + 10\/13*p**4 + s*p**2 - 6\/13*p + y.\nAnswer: 2*p*(p - 1)**2*(5*p - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 34, 2 in descending order.\nAnswer: 34, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -s + 32. What is the greatest common divisor of s and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + c, -c = t - c + 22*c for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u - 45. Let s be g(44). Which is the closest to 0.1? (a) s (b) -2 (c) -2\/7 (d) 36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -66517 + 465620\/7. Factor 0 - 2\/7*r + 0*r**3 - 3\/7*r**2 + b*r**4.\nAnswer: r*(r - 2)*(r + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -0*m - 39. Is 2 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.32 minus -1583?\nAnswer: 1582.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f - 16*f + 59904 = -10*f. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**5 - 4*t**5 + 2*t**5 + (-2 - 2*t**4 + 2)*(-4 - 8*t + 4 + 2) + 10 - 10 + 16*t**5.\nAnswer: 27*t**5 - 4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 2)*(-17*o + 68*o - 360 - 49*o).\nAnswer: 2*o - 360","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 - (-948)\/(-132)) + 61221\/33 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*t - 4*t - 7, -9 = j + 3*t. Suppose 4*n - j*p + 73 = 194, 5*n = p + 165. Suppose u + u = n. What are the prime factors of u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293109500 is divided by 106.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/9 - 173420*d**2\/9 + 3747317504*d\/9 + 173479227392\/3.\nAnswer: 2*(d - 43424)**2*(d + 138)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 9040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by (-464)\/(-16) - (0 + -4)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 33 = 2*u. List the prime factors of u.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/4*(83\/1079 + (-54)\/26).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - k**2 - 10. Let i be h(0). Let r = i + 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: In base 10, what is 15321 + -2027?\nAnswer: 13294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) 1\/15 (c) -92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18220468 to the power of 1\/4, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = l + 5610, 11*d + 2241 = 13*d - l. What is the highest common factor of d and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 8 = -3*a, 2*o + 0*o = -4*a + 6. Let p be (202 - a)\/((-2)\/(-3000)). Round p to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1170)\/24 + (-2)\/8. Let y be 345\/(-12) - (-1)\/(-4). Let v = y - z. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-13260)\/(-65)*-7*3\/(-42)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((204\/(-85))\/((-4)\/(-10)))\/(56\/(-2)).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1)*(-10 + 10 + 16*t) - 2 + 2 - 3*t + 8*t - 3 + 3.\nAnswer: 37*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 841361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 53209962?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7 + 2 + -5)\/(-1) - -225. Let z = 829 - m. What are the prime factors of z?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -208, -417, -612, -787, -936, -1053?\n\"Answer: n**3 + n**2 - 219*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -6 - 14 + 44 - 14 - 14*q + q**2 - 14. What is g(13)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + 1)\/(20\/(-15) - -2). Suppose -4*h + 1168 = n, k*h - 914 + 51 = -4*n. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/3 + 2\/(-3). Suppose -o + n*o = 39. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z = 47*z - 234 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*s**4 + 427209*s**3*t**2 - 3*s**2*t**2 - 53*s**2 - 1036*s*t wrt s?\nAnswer: 72*s + 2563254*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/150 and -89\/30.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/638 and 121\/406?\nAnswer: 4466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(1088) + (sqrt(1088) + -2)*1 + -2*(sqrt(1088) + -2))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111101010111 + -10000101000000?\nAnswer: -101000010010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.4 (b) -1\/18 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7688 + 1\/9*g**3 + 6076\/9*g - 142\/9*g**2.\nAnswer: (g - 62)**2*(g - 18)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1894870 to the nearest integer?\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2073*q + 16610. Let f be z(8). Solve -4*l + 6 = 2*s - l, -2*s = -5*l + f for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of r**4\/3 - 13*r. Let k(z) be the second derivative of -5*z**4\/12 - 7*z. Give d(k(b)).\nAnswer: 100*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -21560 + -372?\nAnswer: -21932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 greater than 0.507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100 + 10100101100011011010001101?\nAnswer: 10100101100011011010000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*y**2 + y - 9*y**2 + 13*y**2 to z*y**2 + b + m*y and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 37*p**7\/210 + 23*p**3\/6 + 269*p**2. What is the first derivative of c(v) wrt v?\nAnswer: 148*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 174*b. Let l(f) = 38*f**2 + 640*f. Determine l(a(p)).\nAnswer: 1150488*p**2 + 111360*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*w + 10*w - 131*w**2 + 8*w - 31*w.\nAnswer: -131*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2366*v**4 - 2*v + 840?\nAnswer: -9464*v**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-52))\/(32\/((-1536)\/(-36)))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(200))**2 + 0 + 2.\nAnswer: -20*sqrt(2) + 203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**3 - 22*k**2 + 5*k - 6. Let b(w) = -13*w**3 - 83*w**2 + 20*w - 23. Calculate -4*b(o) + 15*y(o).\nAnswer: 7*o**3 + 2*o**2 - 5*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19\/2 - -77\/3. Let l(a) = -25*a + 70. Let h be l(5). What is the common denominator of (-27)\/3 - 630\/h and m?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13740760 and 9618532.\nAnswer: 96185320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/10*(-3 + -1). Suppose 5*f - 2 = 2*y, 4*f + f + 2*y = -z. Solve 1 - 4 = 3*c, f = 3*x + 4*c + 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p - 6. Let d be f(0). Let q be ((-8)\/d)\/((-22)\/(-33)). Solve 7 = j + q for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*v - 9 = 3*w - 83*v, -3*v = -4*w - 11. Suppose -u = 5*c + 8, u - 5*c + 7 = -3*u. Put w, u, 4 in increasing order.\nAnswer: u, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (9 - (3 - 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -27, 5, 76.5925?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-3)*k*k\/k**7)\/(k**(-1\/2))**(-18) assuming k is positive.\nAnswer: k**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/89 + 156\/979. Let g be (-1)\/10*4*-2*-5. What is the third biggest value in -1\/3, g, d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 19*p + 40. Let y be j(6). Calculate the highest common divisor of 14 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 1. Let m(c) = c - 3. Let n(j) = m(j) + 3*q(j). Let r be (2 - 10\/4)*-4. Let f(l) = l - r*l - l. Determine f(n(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/((-128)\/(-24)))\/(-3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 10, -464, 100, -5 in descending order.\nAnswer: 100, 10, 5, -2, -5, -464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 899\/7 bigger than 129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -126 + 34 + 41 + -35?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3610207 (base 8) in base 6?\nAnswer: 33054411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -500*n**3 - 626*n - 10. Let t(s) = -s**3 + 2. Let u(d) = -5*t(d) - v(d). Find the second derivative of u(h) wrt h.\nAnswer: 3030*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3 + 4705*b**2 + 4740*b - 28260.\nAnswer: -5*(b - 942)*(b - 2)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-93)\/124*(6\/9)\/1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (32\/(-40))\/(2\/(-5)). Let l = 5 - 5. Suppose l = 2*j - 3 - 9. Solve 0 = -3*h - 3*b - j, -w*h - 10 = 3*h - 5*b for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*a - 4 = 20*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -93 - -399. Suppose 3*a - n = -3*q, -417 = -4*q + 3*a + 2*a. Suppose z = 2*y - q, 3*y - 3*z = 5*y - 107. Does 26 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 15.26 and -0.06 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -0.4, 0.115, 0.4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 437 divide 28430346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 404, 805, 1206?\nAnswer: 1607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-12) + (19\/38 - 33\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 divided by 329.\nAnswer: 43\/329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 266*c**3 - 5*c - 5. Let n(v) = 86449*v**3 - 1626*v - 1626. Determine -5*n(o) + 1626*q(o).\nAnswer: 271*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*f - 2*f - 2*f + (9 + 1 + 11)*(2*f - f - 3*f))*(9*f**3 + 2*f + 693*f**2 - 693*f**2) to the form c + k*f**4 + u*f**2 + s*f**3 + h*f and give u.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 4*d**4\/7 + 17830*d**3\/21 + 2102550*d**2\/7 - 79116000*d\/7 - 28880000\/3 = 0.\nAnswer: -760, -5\/6, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-57)\/95 + (-4)\/10. Is -2\/243 >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4319444 and 15.511013.\nAnswer: 4319459.511013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 2 - 2*h**2 + 0*h**2 - h - 8*h**2 + 6*h**3 = 0 for h.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79, -119, -165, -211, -251, -279, -289, -275?\nAnswer: -231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -z**5\/180 - 373*z**4\/72 - 62*z**3\/3 - 2698*z**2. Factor n(k).\nAnswer: -(k + 1)*(k + 372)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**3 - 5*y**3 + 0*y**3 + (-y + y + 2*y**2)*(-2*y + 0 + 0) + 2*y**3 + y**2 - y**2 as l*y**2 + c*y**3 + w*y + k and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -6238159\nAnswer: -1\/6238159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -37) + -65 + 117 + -45?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 588*w**2 + 16610*w - 3059. Determine c(615).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100733018?\nAnswer: 2, 37, 191, 7127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 - 14 = -5*j, -3*m + 3*j = 9 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*l + l + 8*l - 22*l - 5744 as c + i*l and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dwdh when four letters picked without replacement from {h: 2, w: 1, p: 5, d: 3, n: 1}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 - 2*v**2 + 17 - 4*v**2 + 5*v**2.\nAnswer: -v**2 + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 115.192 + -115. Round s to two dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43559000 rounded to the nearest one million?\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 1. Suppose a = -2*y - 6, 7 = -3*y - 0*a - a. Let z be n(y). What is the remainder when 2 is divided by (-4 - -3)\/(1\/z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, i: 1, u: 1, y: 1, e: 1}. What is prob of sequence de?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110100 (base 2) to base 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 5*w**3\/4 + 187*w**2\/4 - 733*w\/2 - 154 = 0.\nAnswer: -44, -2\/5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13.41? (a) 3\/4 (b) -4 (c) 3 (d) 2 (e) 0 (f) -19\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*v = -10, v = -2*a + 2*v - 1. Suppose d + a - 4 = 0. What is the first derivative of -d*r + 14 - 42*r + 2*r wrt r?\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4760 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 8:11 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 e, and 1 y when three letters picked without replacement from {u: 2, y: 1, b: 1, e: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - (2 + (-13 - -2) + 3)) + 2 + 6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5360225989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-10)*10\/2. Suppose n - 1 = m. Suppose -h - 4*h = -4*y - 6, 3 = -n*y + 3*h. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 783 - 781. Find the second derivative of -70*a**4 + 83*a**3 - 2 + 0*a**j + 0*a**2 - 43*a**3 - 42*a**3 - 116*a wrt a.\nAnswer: -840*a**2 - 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190 = -3*f - 9*f + 26 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -592710 = 8*c - 123*c. Calculate the greatest common divisor of c and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 1. Let a(z) be the second derivative of z**4\/3 + z**3\/6 + 4*z**2 - 10*z. Let m be 6\/(-2 + 0 + 1). Give m*r(j) - a(j).\nAnswer: 2*j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 9*a**2 + 13*a + 11. Calculate l(-10).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n - 6. Let v be d(-5). Let o be (1\/3)\/(v\/48). Solve o*i - 2 = -10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 - 11)*((0 - 5 + 1)*(2*i - 16*i + 0*i) - 2 - i + 2 + (2 + 0 - 3)*(-2*i - i + 2*i) + i - 2 + 2).\nAnswer: -969*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s + 1. Let k(z) = 2*z - 1. Let h(q) = 3*k(q) + 7*r(q). Let l(d) = -1. Let u(x) = -h(x) - 4*l(x). What is u(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/7)\/((-700)\/980).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 80, -1295, 3 in increasing order.\nAnswer: -1295, -2, -1, 3, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 170773853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -11*a**3 - 2*a**2 + 3*a + 11. Let f(k) = -16*k**3 - 3*k**2 + 5*k + 18. Let w(i) = -5*f(i) + 8*r(i). Let o = -7 + 5. List the prime factors of w(o).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93, -91, -85, -75?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108 and 16728?\nAnswer: 150552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhuruhhhyiu. What is prob of picking 1 y, 1 i, and 1 u?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b**2*s - 283*b**2 - 12209*s - 33 wrt s?\nAnswer: -2*b**2 - 12209","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 41 + 79. Suppose 3*r = 5*d + 208, -2*d - 258 = -3*r - 65. Suppose 19 + r = 5*p. Calculate the greatest common factor of s and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + (-34)\/6)*-6. Suppose -40*n - 220 = -50*n. Calculate the least common multiple of n and r\/4 - 1\/2.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 p when four letters picked without replacement from pppynpnnypeeyepen?\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1076?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 17. Let n(d) = -101*d - 651. Let y(o) = n(o) + 4*w(o). What is the first derivative of y(v) wrt v?\nAnswer: -101","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280193171 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*h - 18 = -133*h. Let k(i) = i - 7. Let t(p) = 3. What is h*k(r) - 5*t(r)?\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*i**2*o**3 + 2*i**2*o**2*u - 24*i**2*o**2 + 2*i*o**3*u - 2*o**2*u wrt o?\nAnswer: 24*i**2 + 12*i*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/3 + 506\/3. Suppose -5*o + 7 = -p. Suppose 269*a - 1067 = 816. What is the greatest common divisor of a and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -0.31, 13.\nAnswer: -4, -1, -0.31, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.02 - 2.98. Let y = -91.4 + 90. Let m = y - 3.6. Which is the closest to 2\/5? (a) -0.1 (b) o (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -448 - -455. Suppose -5*q + 96 = -q. Calculate the remainder when q is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6903 + 2178 = 4*l + 1258*s - 2261, -266*s = -271*s + 45 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22*q + 16*q + 2*q + 10)*(q**2 + q**2 + 308 - 105*q - 305) to i + l*q + f*q**3 + c*q**2 and give l.\nAnswer: -1062","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 154969 a multiple of 217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47 + 49. Let a(v) be the second derivative of 0*v**g + 0 + 0*v**3 - 1\/3*v**4 + v. Let m(p) = 2*p. Calculate a(m(j)).\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r + 13. Suppose 3*v + 5*d - 1 = -7, -v + 2 = 3*d. Let c(y) = 3*y**2 - y + 2. Calculate the least common multiple of z(v) and c(-2).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7\/2 - 4. Let v(p) = p**2 - p - 15. Let y be v(5). Let h(k) = -8*k + 45. Let s be h(y). Which is the third biggest value? (a) -0.1 (b) s (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177722 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000537 rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -28 + 37 + (-44 - (-12 - -5)) + -5\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3810.995214 - -3811. What is y rounded to 4 decimal places?\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51*l**2*y**4 - 29*l**2*y**2 + 4*l**2 + 35*l*y**2 - 8733*y**4 wrt y?\nAnswer: 1224*l**2*y - 209592*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 0.6, -2, 4\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -22, -4*r + 40625 = -5*t + 40527 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(70)*2 - (sqrt(70) - (sqrt(70) + sqrt(70) + 4*-2*sqrt(70))))\/(5*(sqrt(160) + sqrt(160)*-2 + sqrt(160)) + sqrt(160)))**2*5.\nAnswer: 35\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11973, 11974, 11975, 11976?\n\"Answer: b + 11972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 782182615 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3085.268 kilograms in grams?\nAnswer: 3085268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 + 34 = 16*v. Suppose 96310 = 11*r - 6*r + 3*u, -4*r = v*u - 77061. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u + 10. Let a be j(5). Suppose 0 = -2*g + 3*z - 159997, -126853 + 526852 = -a*g + z. Round g to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*b + 13*b - 85 = -6*b + 5*g, -2*g = 4*b + 58 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -227, -627, -1277, -2171, -3303, -4667?\n\"Answer: c**3 - 131*c**2 - 14*c - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1294, -2543, -3764, -4945, -6074, -7139, -8128, -9029?\n\"Answer: 2*l**3 + 2*l**2 - 1269*l - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 10, 20, 36, 58?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-644)\/(-5) - (-20)\/(-25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5300)\/(-1300) + (-4)\/1.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*q**5 - 6*q**5 - 119*q - 18*q**5 - 5*q**5 - 293*q + 2 wrt q.\nAnswer: -700*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 410*o**2 - 12712*o + 40. Determine x(31).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/4)\/(h**(1\/4)*h))\/((h*h**19)\/h**(-11)))**(-18\/11) assuming h is positive.\nAnswer: h**(576\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3451 and 8146187?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*f + 12*f + 20. Let m(i) be the third derivative of i**4\/12 - 2*i**3\/3 + i**2 + 141*i. Let y(x) = -1. What is f*y(t) + m(t)?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7775 and -8?\nAnswer: 62200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -416, -420, -424?\nAnswer: -428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert bbb3 (base 13) to base 2.\nAnswer: 110011000111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 - 17642100*y + 35284188.\nAnswer: 3*(y - 5880698)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -4. Let t be (-6)\/(-4) - x\/6. Let w = 7 - t. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -1. Suppose -3*z = z - 12. Let j = z - 7. Let n(o) be the third derivative of -o**4\/12 + 2*o**3\/3 + 2*o**2 + 223*o. What is j*t(c) - n(c)?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 519 - 499. Calculate the remainder when b is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 5:14 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 85 - (-35 + 1 - (114 + -137))\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/10 and 79\/12352.\nAnswer: 61760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1aadb (base 14) to base 9.\nAnswer: 113255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0811 - -0.0811. Let y = 10.1 - 2.4. Let d = 8 - y. What is the closest to -2 in -1, d, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 9 + (-2 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 77246571 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 12 = -6*s. Let m = 58 + -86. What is the units digit of m\/(-8)*s\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9a579 (base 16) to base 6\nAnswer: 21314441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9 - 14 - -5)\/(1*2). Solve b = -4*x, -t + 4*x - 2 = 3*x for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -8. Let m be 112\/32 - (-1)\/2. Suppose -m*q + 13*q - 54 = 0. Calculate the smallest common multiple of u and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5897\/17 - -347. Let d = 2303\/6 + -383. Which is the second biggest value? (a) -5 (b) d (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/3 (b) 29 (c) 7.17 (d) -5.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 0.02 (b) -2 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 18 - 2. Suppose a*o - 1 = 7, 0 = -2*h - 4*o + 16. Let t be (2\/h)\/((-1102)\/220 + 5). Round t to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, x: 4, w: 5}. What is prob of picking 1 t and 2 x?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/4? (a) -5 (b) 3\/8 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3307 - 3318. What is the closest to 0.1 in -4, 1\/3, 0.3, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3077 (base 9) to base 14.\nAnswer: -b73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 7:30 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*(0 - (-9889)\/33) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hr when two letters picked without replacement from {r: 4, s: 7, n: 1, q: 2, h: 3}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**4\/12 + 5*a**3\/3 + 2*a**2 + 10*a. List the prime factors of w(-11).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u - 2. Let d be y(9). Let t = d + 22. List the prime factors of t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - h**2 + 2*h + 1. Let r be y(0). Let w be 3*r\/(-9) + -2. Let i(d) = -4*d**2 + d. Let v be i(1). Is v bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-1 - 0) + 250. Let v = b + -90. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 1. Let k(a) = 24*a**3 - 3*a**2 + 6*a - 3. What is 2*k(m) + 6*s(m)?\nAnswer: 48*m**3 + 12*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -8*l**2. Let s(k) = 4*k**2 + 6*k. Let c be s(-3). Let b(x) = x**2. Let d(v) = c*b(v) + 2*r(v). Let w(u) = -18*u. Give w(d(o)).\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 53.016.\nAnswer: 212.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**3\/5 + 1913*i**2 + 33499*i\/5 + 14358\/5 = 0. Calculate i.\nAnswer: -3, -1\/2, 4786","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r**(3\/7)\/r)\/r)\/(r**(1\/3)*r))\/((r\/(r**(-5\/3)*r))\/r**(2\/17)) assuming r is positive.\nAnswer: r**(-411\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -68605 <= -68605?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hp when two letters picked without replacement from {v: 8, y: 5, h: 1, p: 5, i: 1}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 838267680 to the nearest integer?\nAnswer: 943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**2 - 7*w**3 - 4*w**4 + 10*w**3 + 1 - 1 - 2 to v*w**2 + z*w**3 + o*w + d + l*w**4 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 0 = -5. Suppose -4*p = -3*s - d, -2*p - p + 2*s + 2 = 0. Sort 1, 5, p in decreasing order.\nAnswer: 5, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 5:07 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u**2\/3 + 10025*u\/6 - 1255\/2 = 0. Calculate u.\nAnswer: -251, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -553 - -20460\/37. Let o(c) = c**3 - c**2 - 2*c - 9. Let p be o(4). Suppose -16*n - 47 = -p. Which is greater: n or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10)\/(sqrt(8) - sqrt(2)) - sqrt(5)) + sqrt(45)\/(sqrt(9) + sqrt(144)) - (4 + (sqrt(5) + -1 + sqrt(5))*-5 + sqrt(5))**2) + 2 + 4.\nAnswer: -480 + 811*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*o + 2. Let n = -17 + 12. Let y = n - -6. Is o equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32908460381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 47819 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -549.4 - -549. Let x = -2.976 + -0.024. Which is smaller: h or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r. Let c(g) = 108*g - 1. Calculate c(j) + 6*v(j).\nAnswer: 114*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -280 and 0.035.\nAnswer: -9.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -31a0 + 21ba?\nAnswer: -dc4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15418593?\nAnswer: 3, 107, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17640195.\nAnswer: 3, 5, 23, 51131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + 1 + sqrt(76))**2 + 0 - (sqrt(304) + 1 + sqrt(304) + 5)**2.\nAnswer: -947 - 88*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1166154498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4171 is divided by 1388.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = -2*z + 43 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, f: 5}. What is prob of picking 2 f and 2 m?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300 is divided by 64?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 - 32. What is the tens digit of 1 - 528\/(-9) - l\/18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 5:53 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*m + 3*a = 5, 151*m - 76*m - 70*m - 29 = 3*a for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -38*d*j + 4393*d - 10*j wrt j.\nAnswer: -38*d - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xq when two letters picked without replacement from {q: 2, x: 9}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*c = 45*c + 9. Suppose -3*g - l = -c*l - 68, 0 = -4*g + 5*l + 86. What is the remainder when 165 is divided by g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -0.87?\nAnswer: 0.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 3*u - 138, 0 = 2*k + 3*u - 30 - 36. Factor -176*i**2 - 72 + 342*i**2 - k - 169*i**2 + 36*i.\nAnswer: -3*(i - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6548\/5 - 1310. What is the nearest to 2\/3 in a, -9, 2, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -184 + 169 + -13 + 0 - 8.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 697*y + 285 wrt y?\nAnswer: 697","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14980 + 2288. Is m a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - z - 231 = 213, 0 = 4*p + z - 357. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6584114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4624 and 143786.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d + 7. Calculate o(23).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 0.5, 0.285, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.133205 to 2 dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -0*p - 1. Let b(z) = -4*z - 14. Let s = -763 + 773. Let c(i) = -i. Let t(x) = p*b(x) + s*c(x). Let v(j) = 2*j - 5. Calculate -5*t(f) - 14*v(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 28*v**2 - 19*v + 3. Let k(n) = -2*n**2 - n - 1. Suppose -14*m - 14 + 0 = 0. Let c(r) = m*x(r) - 3*k(r). Find the second derivative of c(i) wrt i.\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 311*r**2 - r + 3. Suppose 20 - 46 = -5*g + 4*o, -16 = -2*g + 3*o. What is the hundreds digit of n(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 196283182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36.8 - 38.8. Sort -21, 3, x in decreasing order.\nAnswer: 3, x, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38850 by 6.\nAnswer: -6475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327*l - 42420 = -261*l - 624*l for l.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 + 18\/(-4))*6. Factor 0 - 1\/4*y**5 - 3\/4*y**h + 0*y + 1\/4*y**2 + 3\/4*y**4.\nAnswer: -y**2*(y - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-6)*(-621)\/(-3864)*126\/((-30)\/(-5))?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -474516 divided by -118629\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-21)*-1*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 163544 to the power of 1\/2, to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -224 - 132?\nAnswer: -356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.4 - -3. Suppose -g = 2*g - d - 12, 0 = -5*g + 4*d + 27. Put g, -0.1, x in decreasing order.\nAnswer: g, -0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**(1\/3))*w)**(-41)*w*w**(-1\/5)*(w**(-1\/4)*w)\/w)**(-2) assuming w is positive.\nAnswer: w**(3247\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13\/2 + 8. Let t = 62585684\/53 + -1180862. Which is the third smallest value? (a) t (b) g (c) 0.3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199*h + 6817 = 5*w - 195*h, 4*w + 2*h = 5456. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/2)\/r)**(-2\/31)\/(((r*r\/(r*r**(-3\/8)))\/r)\/r**(5\/4)) assuming r is positive.\nAnswer: r**(225\/248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 0.1, -31, 21169, -3\/5 in decreasing order.\nAnswer: 21169, 0.1, -3\/5, -2\/3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -103\/9 >= -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 8 = 3*i. Does 12 divide (-59)\/i + (-1)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/9*1\/(-2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 9*i + 4. Let y(j) be the third derivative of j**5\/10 - 21*j**4\/8 + 9*j**3\/2 - j**2. Let z(l) = 15*t(l) - 2*y(l). Factor z(w).\nAnswer: 3*(w - 2)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1527 + 0.2473. What is the closest to -1\/2 in f, -7, -0.5, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/90*1)\/(((-1520)\/(-192))\/(-95))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 211231312 (base 4) to base 6\nAnswer: 3151114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -29641200 to the nearest 100000.\nAnswer: -29600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 313021*z**4 + 160*z**2 - z**2 - 312504*z**4 wrt z?\nAnswer: 12408*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12468 or 125?\nAnswer: -12468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 304935 and 120388338?\nAnswer: 601941690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 16*g**2 - 58*g + 17. Let x be n(-10). Put 0.041, x, 5 in ascending order.\nAnswer: x, 0.041, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*t**5\/3 - 560*t**4\/3 - 25*t**3 + 560*t**2\/3 + 320*t\/3 = 0.\nAnswer: -8\/7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 576.3 + -576. What is the smallest value in -5, 0.08, u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00015233806 to 6 dps.\nAnswer: -0.000152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -256 at least as big as -256?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(7) + 0 + sqrt(7) + 5 + 1*sqrt(35)\/sqrt(5)*4)**2.\nAnswer: 48*sqrt(7) + 268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.016 + -6368.164.\nAnswer: -6368.148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 5. Let k(y) = -4*y**2 + 2*y - 1. Let n be k(t). Suppose -5*z + z - 16 = 0. Are z and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i. Let q(c) be the second derivative of c**7\/1260 - c**4\/12 + 5*c. Let g(l) be the third derivative of q(l). Give b(g(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 922 is divided by 246.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 5:44 AM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -493.5058 - 1.6642. What is i rounded to the nearest ten?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8797215030 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85479, -171039, -256599, -342159, -427719?\nAnswer: -513279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1051565 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 4*a - 117 + 139 = 0, 2*t + a = 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1274\/11 - -116. Let r = -0.2 + -0.2. Which is the nearest to -1? (a) 2 (b) r (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**2 + 3*z**2 - z**2 + 15*z**2 + 9 - 17 - 5*z**2 + (5*z**2 - 4*z**2 - 2*z**2)*(1 + 0 + 1).\nAnswer: 7*z**2 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7138 and 1634.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*5\/176 + (-12)\/66. Let p = 2894 + -2894.2. Which is the closest to -3? (a) i (b) p (c) -2\/5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 221, 1512, 4697, 10622, 20133, 34076, 53297, 78642?\nAnswer: 110957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 381463769 to the power of 1\/5, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13230 and 196.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9801 is divided by 53.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 41, 47, 53, 59, 65?\n\"Answer: 6*t + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - -16 - 7 - (-5 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 900451 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -89 + 149. Is h\/2*(-6)\/(-15) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19988.2652 to zero decimal places.\nAnswer: -19988","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (2 - (-3 + 5) - -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-32 - (65 - 139))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -3*v**5\/10 - 7*v**4\/24 + 12*v**2. Find the second derivative of r(x) wrt x.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -k - 1837, v = 3*k - 8*k - 483. Is -458 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -3*k**2\/2 + 2*k + 8. Calculate the least common multiple of d(0) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/176 and 109\/80?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-5 + (-24)\/(-5)). Let w(r) = r - 4 + t - 31. Determine w(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/9, -3, 0, 48.06, 5 in descending order.\nAnswer: 48.06, 5, 4, 0, -1\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(190)*-1 + ((sqrt(190) - (sqrt(190)*-1 + sqrt(190) - sqrt(190)))*-3 - sqrt(190)))\/(sqrt(90)*-2 + sqrt(40)\/(sqrt(8)\/sqrt(2))).\nAnswer: 4*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -5, -1\/4, -11, 33.\nAnswer: -11, -5, -1\/4, 3\/7, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 2:55 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -341\/8, -0.0294, 1 in increasing order.\nAnswer: -341\/8, -0.0294, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = g, -18*g + 20*g - 13 = -3*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 75*a - 74*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -92, -171, -246, -317, -384?\n\"Answer: 2*w**2 - 85*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of 0*g - 2\/5*g**3 - 3\/10*g**4 - 11\/100*g**5 + 0 - 1\/200*g**6 + 3\/350*g**7 + 1\/560*g**8 + 5*g**2. Suppose d(i) = 0. What is i?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13824 + 13824.5. What is the nearest to 41\/4 in -0.2, 0.4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 801996 and 1272?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*((0*i - 6*i + 8*i)*(4 - 1 - 6) + 0*i + i + 0*i).\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 1 - 8) + (-6 - -1 - 6) + -34\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118035, -472252, -1062613, -1889118, -2951767?\nAnswer: -4250560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -120*x**6 - 362*x**2 wrt x.\nAnswer: -14400*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by (14\/(-10))\/(-1)*5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 35818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 37002614 divided by 209?\nAnswer: 177046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1284255.\nAnswer: 3, 5, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221 + 1000101?\nAnswer: 222110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*r = 0. Suppose -443*b + 461*b - 90 = 0. Solve 3*t + 3 = r, -4*p - b = -6*t + 3*t for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-7))\/(2\/(-7)). Let t(x) = -10526*x - 3. Let m be t(y). Let v = m - 17471. What is v rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1366 - -2827\/2. Let b = -3 + 4. What is the common denominator of s and b - (246\/32 + -2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 0)*(152 + 4536*w + 27 - 4532*w) as v + g*w and give v.\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 6 - 3 = 4*i, 2*i = 3*x - 9. Suppose 4*r - 5*c - 3 = i, -3*r - 5*c + 21 = -25. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (118\/59)\/((-4)\/18)*(-4)\/(-114)?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -g**3 + 2\/3*g**6 + 0*g**4 + 0*g**5 + 0*g - 71 + 19\/2*g**2. What is the second derivative of z(o) wrt o?\nAnswer: 80*o**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1961934900 rounded to the nearest 1000000?\nAnswer: -1962000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 10:05 PM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30263*s + 35 - 565337*s - 35.\nAnswer: -535074*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**3 + 20809*y**2 - 333136*y + 1332800 = 0.\nAnswer: -20825, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04 and 0.1?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + 1721129594\nAnswer: 1721129594.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4665 divided by 44?\nAnswer: -4665\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12835*i = 36*p + 12830*i - 303, -5*i = -5*p + 55 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**4\/(n**(-4\/5)*n)*(n**1)**2)**(3\/43))**(9\/2) assuming n is positive.\nAnswer: n**(783\/430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/9, -2, 5, 8, -0.4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 5*z + 2. Suppose 2*b + 4 = -2*y, b = 6*y - y + 28. Let m be p(y). What is the third derivative of 4*u**5 - u**m - 4*u**2 + 4*u**2 wrt u?\nAnswer: 240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s + 1. Let g be v(0). Let p(j) = 2455*j + 1 + 6706*j - 1062*j. Let f be p(g). What is f rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.1748094 micrograms?\nAnswer: 0.0000001748094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 14*v - 91. Let p(w) = -5*w + 31. Let o(s) = 8*p(s) + 3*y(s). Calculate o(16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1264404721?\nAnswer: 8297, 152393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**3 + 414*p**2 - 6927*p + 17136 = 0.\nAnswer: 3, 16, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -m**3\/6 - m**2\/2 - 1146*m - 1. Let d(i) = 1 - 3 - 4 - 7*i. Calculate d(o) - 6*g(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204 = -62*m - 106 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302 - 33 - 19 = -25*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 - 128. Let p be 8\/(-10)*5\/r*5. What is the third biggest value in 8, 1\/2, -0.2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i + 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + v + 1. Let f(l) = -4*l**3 + 10*l**2 + 13*l - 10. Let g(w) = 3*d(w) - f(w). What are the prime factors of g(11)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j + 3. Let r(h) = 1. Let s(p) = -1. Let f = 275 - 270. Let v(u) = f*s(u) + 6*r(u). What is q(a) - 2*v(a)?\nAnswer: 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, k: 3}. What is prob of picking 2 p and 2 k?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39931 is divided by 4436?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 972843 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-5) - (-1755)\/75. Let t be ((-92)\/(-5))\/((-1)\/(-10)). Calculate the greatest common divisor of t and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + g = 290. 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 -52*y**3 + 20*y**3 + 7*y**3.\nAnswer: -25*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 1. Let o = 21 + -21.1. Put o, c, 0 in decreasing order.\nAnswer: c, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 110534545.000067 + -110534442. Let o = 95.4 - -7.6. Let s = o - w. What is s rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9568 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19454\/155929515 + -8\/30307. Let h = 252073\/82320 - l. Find the common denominator of h and 77\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - q + 7 = -2*r, 5*r + 6 = -4*q. Let y(l) = -5*l**2 + 2*l - 3. Let n(b) = -b**2 - 1. Let i(j) = 3*n(j) - y(j). What are the prime factors of i(r)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 u, and 1 f when three letters picked without replacement from tumffups.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 39510 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.2 + -97.2. Let s = y + 85.4. What is the second smallest value in s, -3\/2, 5\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 5:53 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 122897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40763 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28213 + 28225. Solve -4*p + j = -2*a, 3*a + 28 = 16 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**5\/5 - 1266*i**4\/5 - 3610*i**3 - 42926*i**2\/5 + 145056*i\/5 - 82816\/5 = 0.\nAnswer: -8, 1, 647","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 + -22. Let p = w + -6. What is the highest common factor of p and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75 and 800?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 2*b**4 - 5*b**3\/3 + b**2\/2 + 8. Let v be (-37)\/6 + 3\/(17 - -1). Let j(m) = 17*m**3 - 11*m**2 + 2*m. Give v*j(q) + 13*x(q).\nAnswer: 2*q**3 + q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/5 and -83\/5762260.\nAnswer: 5762260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 0*q + 2*q)*(23 + 12 + 258)*(-2 - 2 + 2)*(-1 - 3 + 2)*(-2 + 3 + 2).\nAnswer: 3516*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f. Let z(q) = -4*q + 35 - 35. Give z(g(b)).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39733435 and 100.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 150.9 + -151.2. Let f = 7147\/9 + -795. Sort f, l, 0.\nAnswer: f, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3, 4*p + 3*y + 961 = -p. Is 7 a factor of p\/(-22) + (-2)\/(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(243) + 1) + -3 + 1*sqrt(75))**2.\nAnswer: 354*sqrt(3) + 10452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 363630\/(-224825) - (-14)\/10?\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 765 and 9.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339972066.\nAnswer: 2, 3, 7, 33311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-15))\/(-4*3\/30).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88872, -88899, -88926, -88953, -88980, -89007?\nAnswer: -89034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 0.1. Suppose m + 4*r + 0*r + 18 = 0, -3*m = -5*r - 31. Which is the closest to h? (a) 0.05 (b) m (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-34) + (-9 - 288\/(-136)). Is 3 a factor of (-824)\/(-24) - (14\/(-6))\/k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -144 times 26.24\nAnswer: -3778.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 5*j**2 + 44. Let u(s) = 14*s**2 + 121. Let r(h) = -11*q(h) + 4*u(h). Let i(v) = 7244*v. What is i(r(t))?\nAnswer: 7244*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(7) + (sqrt(700) + -2)**2 + sqrt(7) + sqrt(7) + sqrt(7) + (sqrt(847) - (sqrt(847) + 0))) + sqrt(567)*6 + sqrt(49)\/(sqrt(42)\/sqrt(6)).\nAnswer: -2816 + 199*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 8) + (-37 + -20 + 40 - -24)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 1:01 AM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + -5 - -2) + 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 - 46 = -30*a. Find the first derivative of -25 - 4*g**2 + 8 + 139 + 2*g + a*g wrt g.\nAnswer: -8*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1280176 is divided by 2141.\nAnswer: 1999","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 119 (base 10) to base 8\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*l + 11*l - 5*l)*(2*l + 0*l + 0*l)*(-202*l + 202*l + 105*l**2).\nAnswer: 2730*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 9 - 7 = 0. Let i = -40 - -39. What is the units digit of 13\/((g + i)\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 182690 divided by 182690\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/3)\/(3\/(-9)). Let i = y - 2. What is the units digit of 1\/i - 1\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 4) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 29205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h = 20*h - 481. Let r be (2 - h\/5)\/(58\/290). Put r, 2\/17, 0 in decreasing order.\nAnswer: 2\/17, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 105 - 100. Suppose -3*x - k*g = -13 - 6, g = -2*x + 8. Solve 0 = -3*w + x for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-18)\/30)\/(1\/(-5)). Let x be r\/(-27) + 80\/45. What is the closest to -1 in 4, 0.2, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (6 - (7 + -4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*(0 + 2\/3). Let l(v) = 1 + 0 - a*v - 4*v. Is l(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = n - 4*i, 4*n - i + 8 = i. Suppose 4*s + s - 5 = 0. Sort -4, s, 0, n.\nAnswer: n, -4, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 369958 a multiple of 239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f + 1 - 8*f + 0*f + (6 - 4 - 1)*(-4*f - 2*f + 2*f) to the form m + r*f and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.72 + 0.28. Let l = t + -12. Let c = 0.46 + -0.06. Put -3\/2, c, l in descending order.\nAnswer: c, l, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-204)\/68)\/(6\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**3\/5 - 183946*h**2 + 3678944*h\/5 - 3678952\/5 = 0.\nAnswer: -459869, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2. Let v(r) = -2*r - 1 + 3*r**2 + 0*r - 1. Let p(k) = -k + 7 + k - 10*k**2 + 7*k. Let s(t) = 4*p(t) + 14*v(t). Determine s(d(j)).\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0546 + 0.0545449. What is w rounded to 6 decimal places?\nAnswer: -0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 6*k**3 + 137*k**2 + 6*k - 4. Let d(s) = 13*s**3 + 273*s**2 + 14*s - 9. Determine 4*d(z) - 9*v(z).\nAnswer: -2*z**3 - 141*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 2. Suppose -2*o - 3*o = -2*h + 11, -2*h + o - 1 = u. Let c be (-9 + -7)*1\/h. Solve -4*w - 26 = 5*a, 0 = 2*a - 3*w - 0*w - c for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 192 and 80.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 548*z - 543*z. Let u(k) = k**3 + 4*k + 108. Is 11 a factor of u(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186900 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26\/85 + -163\/255. What is the nearest to n in 0.3, 0.06, 4, -2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2415760 is divided by 15585.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 2040.541699 to the nearest 100.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/19 in 1\/6, 2\/75, -3?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((10\/(-8))\/(-5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.2, 11708.6, -1\/9, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 174 - 174.102. Let d = r + -2.898. What is the closest to 0.3 in 1\/5, d, 0.5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*h - 8 = 5*l, 0 = 4*l + 2*h - 20. Let r = -13193 - -13190. Let k = 9 + -13. Which is the smallest value? (a) l (b) -2\/15 (c) r (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 11. Let q be a(0). Let u be 2\/(-2) + 2 + 45 + -2. What is the highest common factor of u and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -51, -66?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*r + 4*r**2 - 6*r + 4*r.\nAnswer: 4*r**2 - 10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (212 + -165 - ((30 - 1) + -7)) + 2 + -2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + g - 1. Suppose -4*n = 6 - 22. Suppose -3*b - 4*t = -11, -b = n*t - 3*t - 3. What is the units digit of o(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3160 or -4?\nAnswer: 3160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 9. Let n = 138 - 139. Let o be 1*(0 + 2) - 3. Which is the nearest to o? (a) f (b) 4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(-2\/3)\/z))\/(z\/(z*z\/z**(-19)*z)) assuming z is positive.\nAnswer: z**(68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22102010210020 + -111?\nAnswer: -22102010210201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3402 - 3401.3. Which is the second smallest value? (a) -0.1 (b) d (c) -82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - i - 492 = -3*i, -3*u + 316 = -4*i. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83.6875*-2\nAnswer: -167.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4709764?\nAnswer: 2, 251, 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 353, 242, -1, -376, -883?\n\"Answer: -66*n**2 + 87*n + 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express a**3 - 2909*a**2 + 2910*a**2 + 0*a**3 + 8*a in the form z*a + m*a**2 + h*a**3 + l and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -28. Let d = k - -15. Find the second derivative of s**2 + 5*s**2 + 2*s + d*s wrt s.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.01 + 1.99. Let c be (4\/(-1))\/(-1 + 2 + 6). What is the closest to -0.2 in c, k, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 37*v**2 + 35*v**2 - 70*v**2. Let n(s) = -s**2. Calculate y(n(u)).\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7, -27, -97, -203?\n\"Answer: -18*s**2 + 20*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10 - ((8 - -2) + -17)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44683646 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + t - 2. Let i be w(-2). Find the third derivative of -f**4 + i*f**2 + 3*f**2 + f**2 - 6*f**2 wrt f.\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, z: 1}. Give prob of sequence ziii.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 375 or 6396\/17?\nAnswer: 375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -2*t - 896, t + 2255 = 5*v - t. What is the lowest common multiple of v and 12?\nAnswer: 1812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**6\/144 + 25*k**4\/6 + 37*k**2. Let u(w) be the second derivative of d(w). Let a(p) = -20*p**2. Give u(a(t)).\nAnswer: 100*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 times -99.845\nAnswer: -119.814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 8*k - 158. Suppose 4*i = 2*q + 34, 3*q = 5*q + 2. Calculate the remainder when i is divided by y(20).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 7*o - 2. Let i be c(10). Let u = i + -338\/5. Let 2\/5*s**3 + u*s + 0 - 4\/5*s**2 = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1397 (base 10) in base 7?\nAnswer: -4034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2268867747 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 - 2*h**2 - h**4)*(6 - 1 - h + 3*h).\nAnswer: -2*h**5 - 5*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-9*(-2)\/4*1)\/(5364\/7152)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 186*t + 106*t + 21 - 19 + 78*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2*y + 6, 42*y - 37*y = 2*n. Calculate the greatest common factor of 338 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**2 + 7*h - 25*h**3 + 15*h**3 + 6*h**3 + 62*h to f + u*h**3 + r*h + k*h**2 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -w**5\/12 - w**4\/24 - w**3\/3 + 3*w**2. Let b(n) = -n**2. Let f = 6 - 0. Give f*b(s) - c(s).\nAnswer: -s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.82 + -2.1. Let b = 0.18 + p. What is the biggest value in -0.3, b, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, -1.1, -25 in decreasing order.\nAnswer: -1.1, -4\/3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.3 - 9. Let u = 2.995 + 0.005. What is the smallest value in -5, u, x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1369*-113.\nAnswer: 154697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d + 2140 = 457. What is the remainder when 155 is divided by d?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*s - 3 + 3)*(2 - s - 2) - s**2 + 3*s**2 + 0*s**2 to h*s + a + y*s**2 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 78577 (base 10) in base 15?\nAnswer: 18437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 656?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + 2416187.\nAnswer: 2416157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tty when three letters picked without replacement from {j: 2, t: 2, y: 11, n: 1}?\nAnswer: 11\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddjjd. What is prob of picking 2 j?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 15 + 25. Let c be (2\/5)\/(2\/p). Is (-4)\/c - 15\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1242 - 1858 = 44*a for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2877068 is divided by 8512?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/87, 0.3, -0.3 in descending order.\nAnswer: 0.3, 4\/87, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 24 = 3*s - 7*m, m = -3. Solve -2*c = -5*j - 5*c - 26, s*j = -4*c - 24 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*b = 3*o + 151*b - 43, 3*o + 4*b = 59. Solve -k + 11 = o, 0 = 4*d + 2*k + 16 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**3 + 2*f**2 + 32*f - 13*f - 20*f. Let b be a(2). Which is bigger: -47\/5 or b?\nAnswer: -47\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1, -3, 2, 47 in decreasing order.\nAnswer: 47, 2, 1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 4*o + 7, -15*j + 17*j + 30 = -5*o for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 3*l + 5*r - 2, -l = -5*r + 15. Let f be 2\/(l\/(75\/6)). Suppose -f*y = 18 + 2. Let u(z) = z**2 + 6*z + 3. Determine u(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pvvpppphvvp. What is prob of sequence vh?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75 by 435.\nAnswer: 5\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -2*c - 38 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4562*a**4 - 323*a**3 - 8884345.\nAnswer: 18248*a**3 - 969*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -56805.19097 to the nearest 100.\nAnswer: -56800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*o = -2323 - 227. What are the prime factors of o?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 115 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 9*l + 74. Let a be u(-7). Calculate the greatest common divisor of 105 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46674 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 376084243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 times 92\nAnswer: 1.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - t - 398 = 0, -3*t = -4*p - 0*p + 394. Does 8 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 1:29 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/328 and -79\/52.\nAnswer: 4264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 280879?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -475227?\nAnswer: -475231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 440 and 1000.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 361792?\nAnswer: 2, 5653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -238.46 + 240. Let t = 1.6 - g. Let s = -0.1 + 0.1. What is the second biggest value in t, s, -2, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 2 (c) -2650.96 (d) 2\/13 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l**4\/4 + 7*l**2 + 4*l. Let k(z) be the first derivative of b(z). Let s(w) = -w**2. Determine s(k(m)).\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j + 5*j**2 - j**2 + 3*j.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -192, -1162, -3788, -8898, -17320, -29882, -47412?\n\"Answer: -138*u**3 - 4*u - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51 + (-5 - (0 + -4)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7\/3, 1, -1063091, 4, 0.1?\nAnswer: -1063091","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17094 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 + (-4 - 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 7. Let a(w) = 3*w + 2 + 10*w**3 + w**2 + w**2 + 2*w**3. Is a(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 58, 270, 824, 1894, 3654, 6278, 9940?\n\"Answer: 29*d**3 - 3*d**2 + 18*d + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 5 + 7*y - 27*y + 16*y**2 + 5*y + 7*y. Let f be 1\/(-2)*(0 + -6). Calculate the remainder when s(f) is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*s - 402. Suppose -r = -6*r + 2*f + s, 3*f = -5*r + 397. Suppose 2*n + 3*n - r = 0. What is n rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -443, -1094, -1983, -3116, -4499, -6138, -8039?\nAnswer: -10208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 393.84 + -394. Sort -3, a, -1\/6 in increasing order.\nAnswer: -3, -1\/6, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) - sqrt(220)\/(sqrt(4) + sqrt(100) + sqrt(4)))\/sqrt(11) + 1.\nAnswer: 1 + 6*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -11163*i + i**2 - 3 + 11152*i + 10. Suppose 12 - 2 = s. Determine r(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(68) + sqrt(68) + 5)**2.\nAnswer: -20*sqrt(17) + 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3194147l?\nAnswer: 319.4147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 90151285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/67, -6, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*n**3*u**3 + 223171*n**3*u - 9*n*u**3 - 3*n*u**2 - n*u + 2*n - 3*u**3 - 68 wrt n?\nAnswer: 174*n*u**3 + 1339026*n*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1030835847 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01052 to 4 dps.\nAnswer: -0.0105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -30*r + 777. What is v(14)?\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 2*v - 9, 2*m - 5*m = 3*v. Suppose -300 = -c - 4*w, -c - m*w + 300 = -8*w. Let p = c + -83. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -304 and -42878722.23.\nAnswer: -42879026.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 243997*d**2 - d**3 - 243997*d**2 + 270*d to the form i*d**3 + c*d + y + s*d**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 59*k - 152. Let v(z) = 5*z + z + 6 - 30. Let r be v(k). Solve 0 = -5*s + 4*c + 2 + 5, 3*s + 5*c + 18 = r for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/9 of a day in minutes?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123 - 39 = -12*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50692, 101416, 152154, 202912, 253696, 304512?\nAnswer: 355366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138361032.\nAnswer: 2, 3, 1921681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k + 0*k - 3*k)*(2 + 3 - 8)*(-k - k**2 + k) as y*k**2 + i*k**3 + n*k + x and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k - k - 5*z - 23, -4*z = 5*k + 31. Let b be k + -1 + 2 + -2. Is (b\/8)\/(-1)*154 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (61*n + 42*n - 45*n)*(-4 + 2*n**2 + 4) + (n + n - 4*n)*(-4 + 4 + n**2) in the form r*n**3 + i + s*n**2 + p*n and give r.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6204 - 6199.959. Let s = 0.041 - p. What is the biggest value in 5, s, -1, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1704 and -7561?\nAnswer: 12883944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -43 + 13 + 16*m + 24 - 4*m + 3*m - m + (-1 + 2 - 3)*(-m + 0*m + 3*m) - 3*m - 2*m + 4*m - 4*m + m + 5*m.\nAnswer: 11*m - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35257 (base 8) to base 16.\nAnswer: 3aaf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 855 (base 16) in base 7?\nAnswer: 6135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -1\/33 (c) -1\/13 (d) -0.5 (e) 2\/19 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 32 = -5*j - z + 1, -145 = -5*j + 5*z for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -28630aa + -5?\nAnswer: -2863104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*i + 1488 = -11*i. Calculate the remainder when 135 is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c - c**2 - 3*c + 2*c - c**2 - 2*c + (4*c - c - 5*c)*(0*c + 2*c - c) + (-2*c + 0*c + 0*c)*(2*c - 4 + 4).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/((-6 + (-375)\/(-60))\/((-2)\/(-6)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**3\/((z**2\/z*z*z)\/z)*z**5\/(z\/(z\/z**2))*((z\/z**(2\/23)*z)\/z*z\/(z\/((z\/(((z\/((z*z**3)\/z)*z)\/z)\/z)*z)\/z)))**(-2\/59) assuming z is positive.\nAnswer: z**(5202\/1357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: (412\/(-144))\/((-67)\/2) - 9\/162\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 108*k + 104*k = -17, -2*b + 16 = -3*k for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50939 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 101 + -97. Let m be t + (1 - 5) - 2 - -41. Let z = 38 - 25. Calculate the highest common factor of m and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2731 - 2730.6. Let k = -7 - -12. Let g be (-4)\/2 + (-12)\/(-5). Which is the nearest to g? (a) m (b) k (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 192184 to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/4 of a week?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-984*q + 1785*q - 915*q)*(2*q - 4*q - q)*(1 - 2*q - 1) in the form p + m*q**2 + f*q + z*q**3 and give z.\nAnswer: -684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 0*j + 5*j = -49, 4*m = -j + 27. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 39157 or 38831?\nAnswer: 39157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-4))\/r**(-1\/5)*(r*r**(2\/9))\/(r\/(r\/(r\/(r**(-4)\/r)*r))*r) assuming r is positive.\nAnswer: r**(-71\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2926046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16703\/238 - 1034\/17. Let d = g - 69\/7. Put d, -3, -0.2, 3 in descending order.\nAnswer: 3, -0.2, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g = 2402 + 2628. Let f = g + -62. Is 33 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/498 and -43\/332.\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -4*g - 24, 2*r = 10*g - 13*g - 19 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -25*c - 2. Suppose 91*p = 8039 - 5582. What is the remainder when n(-2) is divided by p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -353 - -363. Let y be (4*1)\/(r - (-2745)\/(-275)). What is the greatest common divisor of 44 and y?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m**2 - 38. Let y(z) = 3*z**2. What is f(y(u))?\nAnswer: 27*u**4 - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4300915 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 0 + 13 = r, 0 = -d + 2*r + 9. Suppose 0 = -4*g + 2*p + 8, d*g + 8*p - 13 = 9*p. Solve -g*j + 4*f - 22 = 9, 3*j = 3*f - 27 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4575\/(-610)*(-16)\/30. Factor -64\/5*z**3 - 4096\/5*z + 768\/5*z**2 + 8192\/5 + 2\/5*z**c.\nAnswer: 2*(z - 8)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 9*s + 6. Let z(d) = -d**3 + 7*d**2 + 2*d - 9. Let q be z(7). Suppose -20 = -q*a + a. Is 3 a factor of i(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x + 1. Let k(p) = -p + 1. Let m(o) = 3*k(o) - 3*y(o). Let f(t) = t - 9*t + 8*t - 4*t. Determine m(f(w)).\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -182, -181, -170, -143, -94, -17, 94?\n\"Answer: i**3 - i**2 - 3*i - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -129*f**2 + 11*f*g - g - 3009 with respect to f.\nAnswer: -258*f + 11*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/16*(-2664)\/(-1813)*14\/(-6)*-63?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 138*j - 1003. Let p be a(7). Put 14, p, 0 in descending order.\nAnswer: 14, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -13*b**3\/6 + 84*b**2 + 31*b. Is 21 a factor of v(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*h - 45*h - 52*h.\nAnswer: -82*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 42?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.25 in -2, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45370 and 130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 377547\nAnswer: 377546.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 4*i - 30. Suppose l - 139 = -i*g - 35, -2*g - 5*l + 60 = 0. What is the greatest common divisor of g and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72048*z - 14612*z + 56562*z.\nAnswer: 113998*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 e when two letters picked without replacement from {s: 1, e: 1, o: 2, u: 1, f: 1, a: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 13285.7 times 0.1\nAnswer: 1328.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -60*u**2 + 69*u**4 + 38*u**4 - 47*u**2 wrt u.\nAnswer: 2568*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1971 and 10147.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 22*l = -122, -13*l = -5*w - 9*l - 10 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3877035911 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -236.25 - -236. Which is bigger: 0.1 or j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 251, 601, 1181, 1991?\n\"Answer: 115*b**2 + 5*b + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**2 + 4*l. Let i be 6\/5*100\/15. Let h(u) = i*u - 9*u**2 + 5*u**2 - u. Calculate 4*h(x) - 7*z(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r + 3 - 2 + 3 - 7. Let p(h) = -h - 4. Let d(x) = 2*x + 10. Let k(z) = 4*d(z) + 11*p(z). Give -4*k(v) + 5*m(v).\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2706649000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-86*z - 3448*z - 3940*z)*(0 + 2 + 0).\nAnswer: -14948*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14833 = -9*d - 4*d. Let r = 2567 - d. Does 23 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 45*f + 243. What is the hundreds digit of w(24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1124 divide 56917112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 352437573 to the power of 1\/2, to the nearest integer?\nAnswer: 18773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from xynwaywnaunu.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 318, -18, 1, 2.\nAnswer: -18, 1, 2, 318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 8:03 AM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(6 + 5 - 5)*(1 - 2 + 3)*(-51*i + 34 - 34) + i - 20 - 8*i + 21.\nAnswer: -619*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/9*24\/6)\/((-8)\/162).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65 + 432. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 159*n**2 - 34485*n - 3965. What is t(217)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-23466)\/(-43021)*11\/(-3)*27\/45\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**3\/9 + 92*k**2\/9 - 4812800*k\/3 + 1634729984 = 0. Calculate k.\nAnswer: -3118, 1536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27505 - -30200. Calculate the smallest common multiple of b and 3465.\nAnswer: 24255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*k + 2*k**2 - 2 + 211*k**3 - 106*k**3 - 104*k**3 as b*k**3 + p*k**2 + t + d*k and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -8. Let v(u) = u + 8. Let k be v(f). Let c(t) = -t**2 + 37. What is the units digit of c(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-15)\/6)\/((-32)\/(-256)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 r when two letters picked without replacement from srdpdldcclddclc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2745085 a multiple of 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3038 - -3041. Solve 2*x + a*x = 9*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**3 - 11*y**2 - 21*y + 4. Let d be k(7). Let x be (-12)\/(-4)*(6 - d). What is the greatest common divisor of x and 69?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -3458\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4738575245 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -4. Let n = 1 + g. Suppose -4*j + 14 = n*v - 0*v, 2*v = 2*j - 4. What is the remainder when 8 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8851593811388.3000052 - -8851595831782. Let k = 2020393 - h. Let q = k + 0.7. What is q rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from nxzninzmii.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/1169 and -29\/1670.\nAnswer: 11690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*9\/204*17*12*3\/2?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1089803.7 months?\nAnswer: 9081.6975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20221112 (base 3) to base 16.\nAnswer: -13c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.02 (b) -82\/3303 (c) 3\/5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/8029 and -97\/69375.\nAnswer: 15054375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1245545.0446 rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t**2. Let r(u) = 3282*u**2. Determine r(y(d)).\nAnswer: 29538*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 15*v**2 + v - 13. Let l be z(15). Let u be 0 + (l - (-2 + -1)). Solve -3*a = 3*i - 6, 2*i - u*i - 2*a = -3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 36*f**3 - 5*f**2 - 27*f. Let w(r) = -37*r**3 + 4*r**2 + 26*r. Let a(c) = -4*p(c) - 5*w(c). Find the second derivative of a(l) wrt l.\nAnswer: 246*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (6 + -4 + -3 + 8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 2 = r - 5*s, 3*s = r - 10. What is the remainder when 6 - 99\/66*46\/(-3) is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2657, -5316, -7975?\nAnswer: -10634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/4 - (-5)\/(-10). What is the third derivative of -6*x**5 + 8*x**2 - 14*x**2 - k*x**5 wrt x?\nAnswer: -540*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 50*a**2 + 2103*a + 3067. What is o(-40)?\nAnswer: -1053","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 388 = 88. Suppose -3*o = -2*m - 71, -82 - 26 = -4*o - 4*m. Calculate the highest common divisor of o and q.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g + 1. Let o(u) = u**2 + 2*u + 1. Let j(q) = o(q) - w(q). Let b = 71 - 61. What is the least common multiple of j(-2) and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.24 + 8.24. What is the closest to 2 in -1, d, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 5*z - 595, 476 = -0*z + 4*z + d. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a90699 (base 12) in base 16?\nAnswer: 28d4d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 18*i**2 - 1. Let z be 3 - 2*(-1 + 2). What is the tens digit of j(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-288))\/(-7)*6633\/(-1474).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2118418 + -3219008. Round k to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -3. Let y be 2\/16 + 215\/(-120). Which is the nearest to -1? (a) -0.5 (b) k (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4504\/3 - -1502. What is u in 0 - 10\/3*u**2 + 2*u + 2\/3*u**4 + v*u**3 = 0?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -161*h**2*j**2*l + 30*h**2*j*l**3 - 235*h**2 - 14590*h*j**2*l**3 + j*l**2 wrt l.\nAnswer: 180*h**2*j - 87540*h*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*((-100)\/(-8))\/5. Suppose -4*y + 5*d + 102 = 0, -k*y + 138 = -4*d + 3*d. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15169840 and 1064?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 15*b + 9. Calculate the remainder when o(15) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 18 - 13)*(0*v + 0*v + v - 2*v + 0*v + v + 3*v + 2*v - 4*v + (0*v + 0*v - v)*(-2 - 2 + 6) + v + 0*v - 2*v).\nAnswer: 92*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t + 1 + 1 + 0)*(1 - 1 + 2*t) + 5*t**2 + 200*t + 1240*t - 3*t**2 as h*t + r*t**2 + d and give h.\nAnswer: 1444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-36)*h*h\/(h\/h**(-4\/23)))\/(h**5\/h*h*h*h\/(h\/(h*h**(2\/7)*h))))**(-3\/28) assuming h is positive.\nAnswer: h**(20991\/4508)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4\/9, 12, 4, -5\/3, 5, -1.6, 7\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -271100 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xkk when three letters picked without replacement from kmuxkuuuxkkukkumkkk?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-28)\/(-8))\/((-2)\/(-4)). Let y(m) = m + 8. Let i be y(n). Suppose -5*g - 4*x = -42, -2*x = -7*x + i. Calculate the least common multiple of 8 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4 = -6. Suppose -46 = -f + i*r, 4*f = -5*r + 159 + 25. Calculate the lowest common multiple of 8 and f.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**3\/3 + 7484*r**2\/3 - 7490*r = 0?\nAnswer: -3745, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 5*m. Suppose 0 = -4*u + 3*u + 5*o + 10, 24 = -3*u - 3*o. Which is smaller: u or m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*m - 8*m - 2. Suppose m*q - 121437 = -25437. What is q rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 0*b = -145. Let m = 2133 - 2020. What is the remainder when m is divided by b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26? (a) -5.3 (b) 4 (c) -52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439185 is divided by 146378?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -14. Let r = 8 + z. Let o = 304 - 5774\/19. Which is the second biggest value? (a) r (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201869 is divided by 104?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 643787 and 643782 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 231230 and 1219434?\nAnswer: 2434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 10*a - 7*a + 315, -3*d = 4*a - 997. Is 327 at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 263 - 263. Let c(j) be the third derivative of -3*j**2 + 0 + 0*j**3 + 1\/4*j**4 + 1\/120*j**6 + l*j + 0*j**5. Find the second derivative of c(w) wrt w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + 9891191178.\nAnswer: 9891191177.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314395 is divided by 3144?\nAnswer: 3139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 12*j**2 - 5449*j + 22051. Give x(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 360 divided by 8\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -248 divided by 4159.\nAnswer: -248\/4159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**4 - 1742*j**3 + 8732*j**2 - 5250*j - 15723 = 0.\nAnswer: -1747, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 4 - 1)*(4 - 4 + 1) + 1 - 3 + 1 + 5 - 5 + 1 - 3 + 3 + 1)*(0*b - b - 10*b) to the form g + n*b and give n.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 48 = -133. Suppose -g - 5 = -2*n. Let q(z) = 2*z - 6. What is the least common multiple of q(4) and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47377?\nAnswer: 11, 59, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/(-70) - (-23)\/7. Let r = 17 - 17. Let h be r*(1 - 4\/3). Solve -3*f - p - 12 = h for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4 - 11*o - 5 - 61*o + 9. Let z be j(-6). Suppose 2*r + q = 177, -6*q = 5*r - q - z. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -3*y + 3\/2*y**2 + 2\/3*y**3 + 0. Let l(s) = 3*s + 2. Suppose 6 + 10 = 4*h. Give h*p(c) - 5*l(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 to the power of 1\/2, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.002 + -21.002. Let f = g + 20.7. Which is the closest to 1\/3? (a) f (b) 0.4 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 7*h**2 + 5*h + 5. Let a(d) = d**2 + 8*d + 7. Let v(l) = l**2 - 7*l + 4. Let u be v(5). Let p be a(u). Does 15 divide t(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19093.24 millilitres in litres?\nAnswer: 19.09324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/19 (b) 54 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dm when two letters picked without replacement from ddmdl?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - 3)*(48\/(-15))\/8. Put o, -3, 4, -1 in descending order.\nAnswer: 4, o, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -58500 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24.99999884 - -25. What is g rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*d = u + 197 + 286, 10*u - 2*d + 58 = 12*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10938900 and 5469450.\nAnswer: 10938900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -56, 4, 20, -5 in increasing order.\nAnswer: -56, -5, -1, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -a**3\/6 - 20*a. Let m(u) = 23*u. What is m(v(c))?\nAnswer: -23*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3 = -2*u, -3 + 8 = 5*i. Let l(m) = -7*m**2 + 14*m**2 - 2*m - 9*m**2. What is l(u)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(16\/(-6))*(0 + -2). Suppose g - 4*g + p = 0. Let y(a) = g - 4*a**2 - 3 - 1 + 12*a - 13*a + a**3. Calculate y(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + 0.65. Let g = u + -0.08. Let w = -0.37000046 + g. Round w to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l = 7*l - 85 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.062 in 4, -1145, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*a**2 + 11*a**2 + 8*a**2)*(-4 - 4 + 4 + (1 - 4 + 4)*(-2 + 0 + 0) + 1 - 2 - 1 + 0 - 2 + 4 - 2 - 3 + 3).\nAnswer: -96*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 13 - 7 = 0. Let j be 3*(z + 85\/(-15)). Suppose 28 = 4*r + 5*o - 0*o, 28 = 4*r - 2*o. Which is the biggest value? (a) j (b) 0.1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.5 or -916\/9?\nAnswer: -916\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -3, -1 = 6*u - j - 18 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66c (base 15) to base 12.\nAnswer: a10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 11?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10 (b) 5 (c) 3 (d) -5\/3 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5027 is divided by 2133.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 1500 + 379. Suppose 5*l + 440 = 2*t, -4*t + 2*l + o = t. Suppose 7*s = 2*s + t. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42053 is divided by 183?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -s + 8, -109*c = -107*c - 7*s + 29 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/27020 and 103\/3860.\nAnswer: 27020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -11, 12, -5 in decreasing order.\nAnswer: 12, -2, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 - -136?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2 = 3. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 880, 683, 352, -113, -712, -1445, -2312?\nAnswer: -3313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**3 + 68 - 2*m**3 - 68.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -2*a**6\/15 - 2*a**5\/5 + 4*a**3\/3 + 2*a**2 - 15*a. Factor l(q).\nAnswer: -4*(q - 1)*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 1 - 22*i + 2 + 164*i in the form n + a*i and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17099 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = j + 3. Suppose -5*k + 4*p - 55 = 0, 23442*k - 70 = 23447*k - 5*p. Put k, 65, j in descending order.\nAnswer: 65, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 2 s, and 1 z when four letters picked without replacement from {t: 1, x: 1, z: 3, s: 2, w: 6, l: 2}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-102)*1\/2*-12\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 times 7\nAnswer: -7.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a century?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 6*c - 10368. Suppose -21*u + c = 39. Is 29 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from tttcvtmvvmit.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13773, -27574, -41377, -55182?\nAnswer: -68989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6737, 6735, 6733, 6731?\n\"Answer: -2*o + 6739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.2 + -15.8. Let h = j + 5. Let w = 13.58 + h. What is w rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 80.7688 and -8?\nAnswer: -646.1504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/16*3404\/37?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -23*l**3\/6 + 85*l**2 + 144*l. Let f be a(7). Solve 35 = -11*w - f for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 11*g = 0. Suppose -5*y - 25 = g, 0*w - 3*y = -3*w + 207. Is 8 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*h - m - 1, 4*m = 0. Let o be 6*15*h\/(-18). Let i be (-19200)\/(-72)*(-264)\/o. What is i rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 103*c + 2021. Let p be o(-78). Solve 22 - p = -7*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 7:11 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-31 - -35)\/((-4)\/(-1031)) is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2548 - 1149 - 2192)*(t - t - 2*t) + (3 - 3 - 2)*(7*t - 4*t + 5*t) in the form a*t + o and give a.\nAnswer: 1570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((-40)\/(-4))\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5 + sqrt(1125) + (sqrt(1125) + -1)*-4.\nAnswer: -45*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hof when three letters picked without replacement from {f: 5, h: 3, c: 1, d: 4, o: 1}?\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134451836.\nAnswer: 2, 23, 31, 47143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t = -9*t - 186. Does 15 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - f = -3*r + 6, f = r. Suppose 3*h - 2*i = 11, -5*h - 5*i = 5 - 40. Sort h, r, -11.\nAnswer: -11, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 871 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -40. Let t = 3338.1 + -2819. Let m = -519 + t. Which is the biggest value? (a) h (b) m (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 144\/1771 + -145239\/283360. What is the common denominator of b and -48\/25?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5*b - 1, -8*w + 21 = -5*w + 3*b. Let l = 198 + -170. Calculate the least common multiple of w and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 18 (b) 0.8 (c) -2\/71 (d) 1\/17 (e) 6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -23 (b) 2\/23 (c) 6 (d) 1\/29 (e) 0.2 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -6199*n - 3 + 3 + 3098*n + 3099*n. Let z(u) = -u + 1423. Give r(z(d)).\nAnswer: 2*d - 2846","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.664 and 0.14527.\nAnswer: -1.51873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of -s**5\/30 - s**2 - 7*s. Let f(n) = 9*n. Determine f(l(q)).\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59.957 + 60. Let v = 3.043 - u. What is the nearest to 2 in -0.1, v, -2\/9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 60 - 21. What is the remainder when m is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 360031.2l?\nAnswer: 360031200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 3*h**2 - h - 12. Let k be s(4). Suppose -3*o + 95 = -0*o - v, 3*v - 3 = k. What is the greatest common factor of 32 and o?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2. Let y(t) be the second derivative of 0*t**3 - t + 0 + 0*t**2 - 1\/4*t**4. Calculate r(y(o)).\nAnswer: 18*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/9)\/(m*m**33\/m)*(m**(2\/19)\/m)**(-23) assuming m is positive.\nAnswer: m**(-2105\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001531058 rounded to 5 dps?\nAnswer: 0.00153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**16*p\/p**(-1)*p**16\/(p*(p*p**(-18))\/p) assuming p is positive.\nAnswer: p**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1112*i**4 - 5*i**3 - 20*i**2 - 19*i**2 + 11*i**2 + 7*i**3 + 26*i**2 - 4667*i wrt i?\nAnswer: -13344*i**2 + 12*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 144 and 150.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -352 - -354. Solve -5*d - f*x - x = -5, 2*x - 3 = -3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -20, 12, 3, -6\/25, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2120222022 (base 3) to base 4.\nAnswer: 30131003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, -2, -0.37?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15942648?\nAnswer: 2, 3, 101, 6577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 573 is divided by 69?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d**2. Let i(k) be the second derivative of 7*k**4\/4 - 5*k**3\/6 - 310*k + 8. Determine i(w(u)).\nAnswer: 189*u**4 + 15*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 976 + -974. What is the third smallest value in 1, 0.41, -0.1, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 6 (c) 0.02 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/18*1*((-3132)\/(-96))\/(-29).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14627, 2, 28 in increasing order.\nAnswer: -14627, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -124024 (base 5) to base 14\nAnswer: -1ad3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 75.03 - 75. Let j = -0.23 + x. Which is the closest to -0.2? (a) 1\/5 (b) j (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5*o - 2. Let n(f) = -2*f + 7. Let a be n(8). Let v = -7 - a. Determine r(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-8.55\nAnswer: 4.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, l: 2, w: 2}. What is prob of sequence kllk?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from bbjbjjbjbbbbjbbb.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/39)\/(64\/36).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 358245784 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.2 - 11. Let t = 0.5 - l. Let f = 0.694 + t. What is f rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -39*z - 7. Let f be k(-3). Calculate the remainder when 1*2 + f\/8*4 is divided by 6*(-5)\/(-3)*2.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - 0*b + 5*b + 35, -c = 2*b + 11 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*w - 29*w - 2 = 0. What is the tens digit of 309456\/240 - w\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -q + 16, -361*x - 203 = -17*q - 360*x for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 3:51 AM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, u: 5, v: 5, d: 2, k: 2, c: 2}. Give prob of picking 2 u and 1 k.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i + 3. What is f(-24)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 881071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2988 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23514, 47134, 70754, 94374, 117994?\nAnswer: 141614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (7 - (7 - 2)) + 10\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 7*p - 158, 2*r + 412 - 296 = 5*p for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 673*j + 673*j - 69*j**2 - 1348*j. Let q(m) = -30*m. What is q(b(h))?\nAnswer: 2070*h**2 + 60*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 81.7+8.466\nAnswer: 90.166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 2*a - 28, -2*f + 40 = 3*f + 5*a. Suppose 4*l - 14 = 14. What is the remainder when f is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 34. Suppose -4 = u*n - 17*n. Solve -n = -g - 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 e when two letters picked without replacement from eaw?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of 1\/7*c**4 - 1\/735*c**7 - 1\/60*c**6 + 0*c + 0 - 2\/105*c**5 + 4*c**2 + 0*c**3. Factor w(r).\nAnswer: -2*r*(r - 1)*(r + 2)*(r + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -154*z**2 - 63. Let b be 3*32\/12*1\/(-2). Let f be ((-6)\/b)\/(1475\/210 - 7). Let y(q) = -5*q**2 - 2. Determine f*y(h) - 2*m(h).\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**3 + x**2 - x. Let g be -3 - -1 - (0 + 0). What are the prime factors of o(g)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26526 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43150082 to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.005 (b) -3\/5 (c) 3 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by 83?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + -1 - (-1 + sqrt(612)) - (6*(3*sqrt(272) - sqrt(17)))**2) + -4)*-3.\nAnswer: 12*sqrt(17) + 222168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0059610249 to 6 decimal places.\nAnswer: -0.005961","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 - 3*f**2 + 5*f**2 + (-3 - 1 - 1)*(-2*f**2 + f**2 + 0*f**2) - f**2 + 26*f**2 + 2*f**2.\nAnswer: 33*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1838993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -3*w + 2*f, 5*w + 80 = -0*f + 2*f. Let b = 38 + w. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -2*u**3\/9 - 718*u**2\/9 - 4544*u\/3 - 2712 = 0.\nAnswer: -339, -18, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 9*o - 5. Suppose -2*j + 2 = 8. Let l(g) = -g**2 + 8*g + 4. Let v(a) = j*w(a) - 4*l(a). What is the units digit of v(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 43 + 31 = 4*u, 0 = -5*u - 25. Suppose -2*d - 7*i + 4*i = -1099, 522 = d - t*i. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 2*t**2 + t + 3. Let v(n) = 16*n + 39. Let p(c) = 3*c + 8. Let z(m) = -11*p(m) + 2*v(m). Let i be z(-13). Calculate x(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 723098973 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**2 - 10*a - 10. Let v be h(-4). Let u be (70\/(-5) - v)*8\/(-6). Let s = 0 - -32. What is the highest common factor of u and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-3\/14)*r)\/((r*r**(8\/7)\/r*r)\/r*r) assuming r is positive.\nAnswer: r**(1\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -54 and -765217 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n**3 - 2*n**2 + 2*n - 4. Let r(m) = -4*m**3 + 3*m**2 - 3*m + 3. Give -3*h(y) - 2*r(y).\nAnswer: -y**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*s = 31 - 175 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o**5\/2 + 19*o**4\/2 + 24*o**3 - 2*o**2 - 32*o = 0. What is o?\nAnswer: -16, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/3 and -13\/415?\nAnswer: 1245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -124\/3199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (608\/(-12))\/(-8)*177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -451 from 0.2.\nAnswer: 451.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/6)*f)\/(f**(-1\/20)\/f*f) assuming f is positive.\nAnswer: f**(73\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of 4 + 3\/4*t**4 + 0*t**2 + 0*t**3 - 2*t. What is the first derivative of u(s) wrt s?\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, j: 6, y: 4, m: 1, i: 1, r: 1}. What is prob of picking 1 i and 3 y?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -11, -1\/29, -0.3?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 591*h + 921*h - 96228 = -583*h - 92*h for h.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b + 2. Let r be s(2). Let d be r + 3 + -4 - -15. Let i = d - -9. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + z - 5984, 49*g + 3*z = 53*g - 6000. List the prime factors of g.\nAnswer: 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.194 + -382.715?\nAnswer: -382.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s. Let w(h) = 162*h**2 - 15*h + 3. Let c(q) = -325*q**2 + 25*q - 5. Let u(a) = 3*c(a) + 5*w(a). What is u(i(r))?\nAnswer: -1485*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54 - -108. Suppose 7*x + w = 13*x. Solve -3*y = 3 + x for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 10.98751 millennia?\nAnswer: 109.8751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19986.\nAnswer: 2, 3, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1450 + -834. Let d = z - 516.7. Round d to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -38, -3, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 6570.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17362055*o**3 - 19889*o**2 + 7*o + 6.\nAnswer: -104172330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 63199273.63798 and -9.\nAnswer: 63199264.63798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 3 + -4 + -1 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (1 + sqrt(117) + sqrt(117) + sqrt(117) + 3 - (-1 + sqrt(117))*-3))**2.\nAnswer: 216*sqrt(13) + 4248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2*q - q = 9, 0 = 5*b - 4*q - 33. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -105 - 154. Let d = 399 + c. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/10)\/((-5)\/800). Suppose 5*c + 80 = 3*r - 124, -3*r + q = -c. Does 10 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 5*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(-51)\/(-18)*(-4)\/2. Suppose 170 = u + 2*n, 2*u - 357 + m = -3*n. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -97.9 + 96.9. Put -0.4, c, 5 in decreasing order.\nAnswer: 5, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -12*t + 831. Give m(75).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -2\/13 (b) -1 (c) 261\/62 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -26891, -53780, -80669, -107558, -134447, -161336?\n\"Answer: -26889*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 + 4*m - 513. Let z be d(15). What is the fifth smallest value in 26, z, 2, 0.5, -19?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*o - o**2 + 13*o + 17*o.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2.8*-32127\nAnswer: 89955.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**2 - 233637366*c = 0. Calculate c.\nAnswer: -116818683, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 20*d - 9. Give p(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 373*t**2 + 5711*t - 354. Let c be p(-357). What is v in 98\/9*v**5 + 14\/3*v**4 + 0*v + 8\/9*v**2 + 0 - 16\/3*v**c = 0?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9946\/441 - 1116\/49. What is the fifth smallest value in -4, 5, z, 0.18, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/4 + -3)*-10. Suppose 5*j = 10, 2*b + 2*j - u*j = -2. Solve -3 + 11 = -b*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -182027860 - -182281376.923. Let o = -253634 + n. Let i = o + 117. Round i to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38.913 - -36.913. Let u = 4 + -3.94. Put j, u, -1\/2 in descending order.\nAnswer: u, -1\/2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.7224 from 486.\nAnswer: 485.2776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/52938 and 47\/52938?\nAnswer: 52938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 11 = 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = r - 6*r. Suppose -f + 4 = r, 16 = 5*b + 3*f - 11. Solve 3*z = -a + b, 5*a - 8 = -2*z + 7 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0281 + 0.1381. Which is the biggest value? (a) v (b) -4 (c) -1 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/9))**(-12))**15\/(p**(-6)*(p*p*p**1)\/p)**25 assuming p is positive.\nAnswer: p**140","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d, -d + 5*d + 156 = 4*z. Suppose 6*b + 0*b - 912 = 0. Let n = -114 + b. Which is smaller: n or z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 872\/31547?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.7 + 0.6. What is the closest to f in 1, -2\/15, -0.3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**3 - 3*y + 13. Let w be d(4). Let p(n) = 129 - w + 2*n. Let o(u) = 13*u**2. Give p(o(i)).\nAnswer: 26*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 68 - 68. Solve 0*i + 2*i + 6 = f for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -4 + 12 - s - 1 + 5. Let f be y(7). Solve 3*o - 6 = b - f*b, 2*o - 5*b = -19 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -292, -360, -510, -742, -1056?\nAnswer: -1452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (140\/42)\/(1 - 2\/6). Suppose v*g - g + 3*u - 31 = 0, -g + 5*u + 2 = 0. Find the second derivative of -11*b - g*b**5 - 22*b + 4*b + 21*b**5 wrt b.\nAnswer: 280*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2014 (base 7) to base 14.\nAnswer: -37b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4920.95 and 4?\nAnswer: 19683.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -140011024 - -143?\nAnswer: -140010331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 466879464 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: Solve -425*c - 21692 + 6392 = 0 for c.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -19, 1, 3, -34 in ascending order.\nAnswer: -34, -19, -4, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -36506 divided by 2\nAnswer: -18253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 1 + 7 = 3*l, 2*k + 2*l = 0. Let z be -1*k\/(-4)*-35. Suppose 30*h = z*h - 5. Put -1, -4, h in decreasing order.\nAnswer: h, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 4*r**2 + 11*r - 7. What is l(5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (2 - 28)\/2. Let h(y) = 191*y**3 + y + 1. Let x be h(-1). Let b = -93 - x. Calculate the highest common factor of k and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -7*b + 10, -2*b = k - 330 + 331 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.1587 - -1.2587. What is the nearest to c in -262, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -475.941 - -476. Which is the third biggest value? (a) 1\/6 (b) 1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l. Let u(v) = v. Let r(g) = g. Suppose -b = -4 + 2, -2*a + 3*b - 8 = 0. Let y = a + 0. Let x(m) = y*u(m) - r(m). Determine x(p(n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/4 of a hour?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/31 (b) -0.2 (c) -0.8622 (d) -5 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 83 + -79. Solve 0 = o + 2*g - 6, 0*o + o - k*g = -18 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 4*i - 1. Let w be n(5). Let y = 3 - -2. Suppose -d + y = w*q, -5 = -q - q - d. Is q less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11401\/6 - 16\/((-1248)\/65) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q**4 + 3*q**3 - 2*q**4 - 10*q**2 + 49*q**2 - 4*q**3 + 0*q**4 + 1 as l + w*q**4 + f*q + v*q**3 + r*q**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2323235 is divided by 223?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.07 - -0.07. Let u = -232 + 232.2. Which is the nearest to 2? (a) -1 (b) k (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-12))\/((-1)\/(-1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(175) - sqrt(175))*-3)**2 + (1*sqrt(112) + -4)**2 - (((-1 + sqrt(448))*2 + 3)**2 + -2).\nAnswer: -1663 - 64*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5653544763*h**2\/2 + 8334912*h - 6144.\nAnswer: -3*(43411*h - 64)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((sqrt(6480)*-1*3)\/(sqrt(9) + ((sqrt(108) - (-1*sqrt(108) - sqrt(108)))\/sqrt(12) - sqrt(9)) - (2*sqrt(108))\/sqrt(12)))**2 + 0)*-2.\nAnswer: -12965","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -113750 (base 8) in base 6?\nAnswer: -500012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v**2 - 2. Let b be (-6)\/4*(-120)\/(-36). Let i(f) = -9*f**2 + 5. Give b*w(g) - 2*i(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**2 + 12*m + 29. Determine k(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 145 and 2755?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 247, 37 in ascending order.\nAnswer: 15, 37, 247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -34, 17, -13, 0 in ascending order.\nAnswer: -34, -13, 0, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -4*l + 16, -299*h = -289*h - 5*l + 65 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 390.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-888600048)\/60 - (-8)\/10. Round y to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + 11 + 0 + -1. Suppose 9*a = 50 + x. Solve t = a*t + 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 488, 1\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + -2.1. Let s = -1 - y. Let u be ((-8)\/(-6) - 2)\/(108 - 111). Which is the second smallest value? (a) 0.5 (b) s (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 4, 3, 2, 233, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 53*p - 21. List the prime factors of v(4).\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, l: 3, x: 4, c: 2, h: 4, j: 1}. Give prob of picking 2 c.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 16) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 13 = -5*k, -2*k - 3 = k for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-18)*(0 + -4). Let q be 3*34\/33 + (-654)\/218. Which is the closest to 1? (a) d (b) q (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 4*j + 5. Let o be q(4). Let i = o - 4. What is the first derivative of -3 - i - 5*r + 2*r + r wrt r?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35251 (base 6) in base 5?\nAnswer: -130241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 379 (c) 4 (d) 5 (e) -8.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**2 - m. Suppose 0 = 2*q - 10, 3*v + 0 = 5*q - 19. Let b(g) = 2*g - v - 6*g + 0*g**2 - g**2. Let d be b(-4). Calculate n(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from jlloaooeojejcj?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 1899 (b) 5 (c) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-3)*21)\/((-25)\/(375\/60)).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16996361*j**2 + 672130*j - 6?\nAnswer: -33992722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54 + 218. Suppose -b*o + 175*o - 2959 = 0. What is the remainder when o is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5*f - 4. Let v be g(-6). Suppose v*n = 2511 + 3729. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -281911, 5, -4, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 - 45. Suppose -15*x - 12 = -14*x - 2*s, -3*x = -4*s + 30. Which is the closest to -0.2? (a) x (b) l (c) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.506 to one decimal place.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(162)*3 + 4 - (0 + sqrt(162)*-2) - (5 + sqrt(162) + sqrt(162) + (sqrt(162) - 2*sqrt(162)) + -3)) + -2)**2.\nAnswer: 144*sqrt(2) + 2596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2626 a factor of 1699396632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 11. Let z = 19 - b. What is the remainder when 34 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zzhhhhh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12281?\nAnswer: 12281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 305*j - 366. Let y(u) = -u + 1. Let i = 29154 + -29520. Determine i*y(n) - g(n).\nAnswer: 61*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) - -1*sqrt(600))\/(3*1*sqrt(8)) - ((sqrt(216) + sqrt(216)*-3 + sqrt(216) - sqrt(216))\/sqrt(6))\/(sqrt(72)\/sqrt(150)))**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -64 + 24. Suppose l - 2*v - 78 = 0, 4*v + 236 = -l + 4*l. Calculate the highest common factor of l and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 378*d**2 - 222*d**2 - 1285*d**3 - 43 + 43 - 4*d - 217*d**2 wrt d.\nAnswer: -7710","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -6*d - 28. Let m(f) = -f**3 + 4*f**2 + 4*f + 1. Let a be m(5). Let s be i(a). Round s to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4044832 - 0.403. What is o rounded to 5 decimal places?\nAnswer: 0.00148","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19798, 39724, 59844, 80254, 101050, 122328?\nAnswer: 144184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2 + 30 = 0. Let c be v\/9 - 4\/(-18). Suppose 70 = c*b + 4*t, 0 = -2*b + 5*b + 3*t - 108. Does 18 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 15, g: 3, t: 2}. What is prob of picking 2 t?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 955529.\nAnswer: 19, 50291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1292 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336*r + 67925 - 17630 = -1101*r for r.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h - 3*h**3 - 30*h**3 - 14343*h**2 + 14383*h**2 wrt h.\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 171*a - 251 - 1117 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5 = 5*o - 31, 3*s = 5*o - 28. Suppose o*t = 136 + 234. Suppose 5*i = -3*r + 382, -2*i - t = -3*i - 3*r. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bccbccccbccbcccccbc. What is prob of picking 2 c and 1 b?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459920786 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.31 and -0.191.\nAnswer: -0.501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 2 (c) -2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16976115 to the power of 1\/3, to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/(-20) + (-5 - ((-210)\/24 + 4)). Let z(o) = 9*o**3 - 3*o**2 - 4*o. Determine z(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 284*d**3 + d**2 - 2*d + 8. Is o(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/70*(-8)\/(-45)*((-20925)\/(-54))\/(-155)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = b - 4. Suppose b*s = 7*s. Let 2*z**2 - 2*z + 2 - 2*z + 8*z + s*z**2 = 0. What is z?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 4*u**2 + 19. Let i be s(-8). Let l be i\/(-2475) - (8\/9 - 1). Which is bigger: l or 18\/91?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1394.93645 - 1395. Round c to 3 decimal places.\nAnswer: -0.064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a - 10f26?\nAnswer: -10f1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -101553\/25 - -4064. Are 2 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 114*z - 3*z**3 - 114*z + (-2*z - 2*z**2 + 2*z)*(5 - 5 + 2*z) + z**3 - z**2 + z**2.\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**3 + 5*q**2 + 2*q - 1. Let p be m(6). Let o(h) = h**2 - 11*h + 24. Let z be o(9). Suppose z*v - 25 = p. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*a**3*h**2 + 2*a**3*h - 4*h**2 - 951*h wrt h.\nAnswer: 12*a**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 5 = i. Put i, 3, 0 in decreasing order.\nAnswer: 3, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -687*z**3 - 2*z**2 + 994 wrt z?\nAnswer: -2061*z**2 - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/11 + 1748762*s**2\/11 + 382161745518*s\/11 - 47797546502250\/11.\nAnswer: 2*(s - 125)*(s + 437253)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -63 (b) -1\/1155 (c) -55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 587600 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a day in hours?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5402 = -4*f - 2*j, -1 = -4*j + 3. Does 18 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*a + 13*a**2 + 25 + 6*a - 2*a**3 + 13*a**3 - 10*a**3 to the form w*a**2 + t*a**3 + f*a + b and give b.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25231, 34543, 50071, 71821, 99799, 134011, 174463?\nAnswer: 221161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5 = 0, 5 + 3 = -x + 2*w. Suppose -x*b = -3*z - 2, -3*z + 5*b - 16 = -z. Let c(j) = 1 + 3*j**2 - 2 - j**3 - 9*j**z. Determine c(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*p + 180 = -31*p. Let x(y) = -3*y - 2. Let k(b) = 4*b + 2. Give p*x(u) - 2*k(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (14\/8)\/(7\/56)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6914236, -6914229, -6914220, -6914209?\n\"Answer: a**2 + 4*a - 6914241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 50.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 8 = -5*a - 2*w, 2*a - 4*w - 8 = 0. Solve 9*i + 25 + a = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 113\/4 - 28. Factor 0*g + 1\/4*g**2 - p.\nAnswer: (g - 1)*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + 262)\/18*-1 + 127\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 2115112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 124, 182, 254, 346, 464, 614, 802?\n\"Answer: u**3 + u**2 + 48*u + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*b**2 - 7 + 46*b**2 - 46*b**2 - b + 8 + b**3 to m*b**2 + u*b**3 + i + o*b and give m.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -6008.3 to the nearest 10.\nAnswer: -6010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 78 - 84. Find the first derivative of -x*k**3 + 81*k**3 - 2*k**4 + 6 wrt k.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 13 = 2*b. Let j be 5\/(-2)*(-20)\/2. Calculate the greatest common factor of j and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/((-4)\/9))\/(10\/40). Calculate the highest common factor of o and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1055153268*t**5 + 928706509*t?\nAnswer: -21103065360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1500 plus 71.04?\nAnswer: 1571.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 1, 162 in ascending order.\nAnswer: -3, 0, 1, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -6*l - 2*b + 70, -40 = -2*l - 2*b. Suppose 6*j - 267 = l. What are the prime factors of j?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -123774?\nAnswer: -1\/123774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/10)\/(302\/755).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 5*x**3\/7 - 314*x**2\/7 + 239*x\/7 + 558\/7 = 0.\nAnswer: -1, 9\/5, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 j when four letters picked without replacement from {r: 4, d: 1, y: 5, j: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 13469868?\nAnswer: 1\/3367467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0135, -0.73, 2\/3.\nAnswer: -0.73, -0.0135, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 1\/6, -58 in increasing order.\nAnswer: -58, -1\/2, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10271258 - -24?\nAnswer: 10271283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -144*h + 11707. Calculate z(80).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -5*v**5 - 276205*v**4 - 5086130325*v**3 - 31223723868655*v**2 - 61816902285770*v + 3745630302598200 = 0?\nAnswer: -18413, -12, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 9*h + 2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t + 18. Let f(b) be the second derivative of -b**3\/6 - b**2\/2 + 1543*b. Calculate f(h) - u(h).\nAnswer: -2*h - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 18 (b) -8 (c) -9 (d) 0 (e) 7 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -19129, -18800, -18461, -18106, -17729, -17324, -16885, -16406?\n\"Answer: l**3 - l**2 + 325*l - 19454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95596922 to the nearest integer?\nAnswer: 9777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 0*x**2 + 2*x**2 + 5*x**2 + 3*x**2. Let g(p) = -2*p. Give g(n(q)).\nAnswer: -20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/36*8)\/(14*1)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -6 (b) -4 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0494125 and -4527.\nAnswer: -4527.0494125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4))\/(-14*(-22)\/(-1848))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwwl when four letters picked without replacement from {v: 4, w: 6, l: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d - 3. Let j be l(-6). Solve -5*y + 2*x = 1 + j, x + 3 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6018, 2, -2\/5 in descending order.\nAnswer: 2, -2\/5, -6018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 22*h - 22. Let n(b) = 11*b - 12. Let u(v) = 11*n(v) - 6*y(v). Let w(o) = 4*o. Calculate w(u(r)).\nAnswer: -44*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 5*v**2 - 14*v - 3. Let y be u(7). Let t(k) = -2 - 4 - 224*k + 5 + 2. Is t(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (742 - -1) + 1 + 1. Let o = 1077 - q. Suppose -2*s - 2*s + o = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(13) - sqrt(13)) + -1 - ((sqrt(13) - sqrt(26)\/sqrt(2))*5 - sqrt(13) - sqrt(13)))**2 - ((sqrt(13) + (sqrt(13)*1 - sqrt(13)) + 1)*3 + 1)**2.\nAnswer: -80 - 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6082945495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-12)*(-26 - -5). Let f be 2\/((-1)\/(-3) - 1). Let l = f + d. Solve -4 = -l*z - 2*w - 2*w, 25 = -3*z + 4*w for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*r**2 + 204*r - 28*r**2 - 204*r.\nAnswer: 34*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134595, 134583, 134561, 134529?\nAnswer: 134487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssr when three letters picked without replacement from ussuuussssssuusrsr.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 469645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.19, 4, 1, -0.4.\nAnswer: -0.4, 0.19, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3\/2042 (b) -2 (c) 1 (d) -1 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -1 - 80\/(-18)*(-978)\/(-815)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 4*t + 111633, 102*t - 99*t + 66996 = 3*f. List the prime factors of f.\nAnswer: 3, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2. Let k(h) = h - 1. Let b(t) = -1. Let a(z) = z + 11. Let j be a(-12). Let g(i) = j*b(i) + k(i). Determine w(g(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/1683 and -47\/4305675.\nAnswer: 12917025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) + -1*sqrt(98) - (sqrt(8) + -3)) + (-3*sqrt(44)\/sqrt(2))\/(sqrt(55)\/sqrt(20)))**2 + 4.\nAnswer: -48*sqrt(2) + 141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: a (base 13) to base 6\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 0.044323664?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-133 - -4)*(3 + 0). Let s = 1666 - h. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m + 11. Let x(l) = 2*l - 21. Let g(j) = -7*s(j) - 4*x(j). Let i be g(7). Solve i = -2*d - 5 + 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3018 + 3018. Let k be -53*2 - (4 + -6). Let a be (12\/k)\/(6\/(-8)). What is the nearest to 0.1 in 0.3, v, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-84 - 545 - 45)*(1 - 1 + i**3) to the form a + d*i + y*i**3 + c*i**2 and give y.\nAnswer: -674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 0*y**5 + 0*y**2 + 0*y**4 + 0*y + 1\/2*y**6 - y**3 - 1. What is the third derivative of o(n) wrt n?\nAnswer: 180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*((-1)\/6 - 0). Let q be (-106)\/(-15)*3 - (-1)\/(-5). Suppose -3*c = 4*c + q. What is the closest to 0 in f, -0.2, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 35 - 0?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6c (base 14) to base 12.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sts when three letters picked without replacement from sssstststtssst?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 222399, 444752, 667105, 889458?\nAnswer: 1111811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -155\/21 - -40\/7. Which is the nearest to 0.2? (a) -2\/3 (b) z (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34155065?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 6*p - 5. Suppose d - 21 = 4*d. Let l be c(d). Solve -6 = -t - l*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1196 + -1206. Which is the closest to -1? (a) 0.3 (b) 2 (c) 0.4 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 9 - 3. Let z(b) = -b**2 - 4*b**2 + x*b**2. Let p(a) = -5*a. Calculate p(z(j)).\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1846 + -637. Let y = c - 1221.27. What is y rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 13*n + 21. Let g be j(6). Calculate the greatest common divisor of g and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/3)\/w)\/w)**(21\/4) assuming w is positive.\nAnswer: w**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}